From 8acaf262baa04a4d2bdd9c774c45c5bb2fb2d12a Mon Sep 17 00:00:00 2001 From: RĂ©mi Flamary Date: Mon, 20 Apr 2020 15:12:02 +0200 Subject: add and update notebooks --- notebooks/plot_compute_emd.ipynb | 29 ++++++++++++++--------------- 1 file changed, 14 insertions(+), 15 deletions(-) (limited to 'notebooks/plot_compute_emd.ipynb') diff --git a/notebooks/plot_compute_emd.ipynb b/notebooks/plot_compute_emd.ipynb index 26c125e..5ee6641 100644 --- a/notebooks/plot_compute_emd.ipynb +++ b/notebooks/plot_compute_emd.ipynb @@ -61,8 +61,6 @@ }, "outputs": [], "source": [ - "#%% parameters\n", - "\n", "n = 100 # nb bins\n", "n_target = 50 # nb target distributions\n", "\n", @@ -105,18 +103,18 @@ "outputs": [ { "data": { - "image/png": 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dydGNHw+pqfqjXaVU3dAE1QDk5Fizl48fXz+79yqMGmXNzTdtmqsjUUqdCjRBNQBz5lhLa0ya5OpIjs3PD/75T6ubr7jY1dEopRo6TVANwLRp0Lo19O7t6khqNmkSZGdbv9dSSqm/QxNUPZeaCosWWR/8R18Csv4YPNi6VqbdfEqpv0sTVD03cyYYU/+79yq4u1vXyubNs66dKaXU8dIEVc9NmwY9e0KbNq6OpPYmTbKuQc2Z4+pIlFINmSaoemzLFlizpuG0nir07m1dM9NuPqXU36EJqh6bPt1a82nCBFdH8teIWEl10SLrGppSSh0PTVD1lNMJU6fCoEHQrJmro/nrJk2yrp198omrI1FKNVSaoOqpBQtg1y648kpXR3J82rSxJrV95x2d+kgpdXw0QdVTb71lDdceM8bVkRy/q6+GHTvgxx9dHYlSqiGqVYISkXNEZKuIJInI3dXs9xKRT+39y0Wkpb19iIisFpH19t+zKz1nsV3nOvvWpK5eVEO3dy98/TVccQV4ero6muN3/vkQHm4lW6WU+qtqTFAi4gBeB4YDHYCJItKhSrErgEPGmHjgJeAZe3sGMNIY0wm4BJha5XmTjDFd7dvBv/E6TinvvWddv/m//3N1JH+Plxdcdhl89ZUOllBK/XW1aUH1BpKMMTuNMSXATGB0lTKjgSn2/dnAIBERY8xaY0zFR9NGwEdEvOoi8FNVaSm8+661dEVcnKuj+fuuugrKy+H9910diVKqoalNgooCUio93mtvq7aMMaYMyAHCqpQ5H1hjjKk8jeiHdvfeAyLVT+QjIleJyCoRWZWenl6LcBu2efOs1sbVV7s6kroRHw9DhliDJcrKXB2NUqohOSmDJESkI1a3378qbZ5kd/31t2+Tq3uuMeYdY0xPY0zPiIiIEx+si731FsTEwD/+4epI6s4111jX1b77ztWRKKUaktokqH1ATKXH0fa2asuIiDsQBGTaj6OBL4CLjTE7Kp5gjNln/80FpmN1JTZqSUnW8PL/+z9wOFwdTd0ZMQKaN4c33nB1JEqphqQ2CWolkCAicSLiCUwA5lYpMxdrEATAWGCRMcaISDDwDXC3MeaXisIi4i4i4fZ9D2AEsOHvvZSG76mnwNu74Q+OqMrDA6691lq2fs0aV0ejlGooakxQ9jWl64H5wGbgM2PMRhF5VERG2cXeB8JEJAm4FagYin49EA88WGU4uRcwX0T+BNZhtcDercsX1tAkJ8PHH1uDChrizBE1uf56CA6Gxx5zdSRKqYZCjDGujqHWevbsaVatWuXqME6Iq66CKVNg506IqjoE5RTxyCPw8MOwbh106eLqaJRSriIiq40xPWsqpzNJ1AO7d8NHH1lde6dqcgK46SYIDNRWlFKqdjRB1QNPP239vesu18ZxogUHW0nq889h/XpXR6OUqu80QblYSor1I9bLL7eGl5/qbr4ZAgLg8cddHYlSqr7TBOVijz9uTWt0zz2ujuTkCA2FG26AWbOsa1FKKXU0mqBc6LffrGmNrrsOWrRwdTQnz223WZPI/utf1jRISilVHU1QLlJSYo3ci45ufIMGQkPh5ZdhxQp4801XR6OUqq80QbnI88/Dhg3w+uvWNZnGZuJEGDbM6tpMSam5vFKq8dEE5QLbt8Ojj8K4cTBypKujcQ0Rq/VUXm79iLcB/RxPKXWSaII6yZxO69qLtze88oqro3GtuDgrUc+daw09V0qpyjRBnWT33AM//WR18UVGujoa17v5ZujRwxpmv6HRz8aolKpME9RJ9N578Oyz1vITV1zh6mjqB3d3+OIL8Pe3lhhJS3N1REqp+kIT1Eny449WYho6FF591boGoywxMfD115CRAaNHQ2GhqyNSStUHmqBOgvXr4fzzoW1b+Owzq9WgjtSjB0ybBitXwuTJUFrq6oiUUq6mCeoE++YbOP108PW1lnMPCnJ1RPXXmDHwwgvWgIlhwyAz09URKaVcSRPUCWKM9WE7ciTEx8Py5dCypaujqv9uucVaF+uXX6BPH9i82dURKaVcRRPUCZCWBhddBLffbnXtLV3aOCaCrSuTJ8PixZCXB337WutkOZ2ujkopdbJpgqpDBQXWtEXx8dZkqI8+Cp9+Cn5+ro6s4enXz7oe1aEDXHop9OplJS2lVOOhCaoObN9urRTbpg08+CCccw5s2gQPPABueoaPW0yM1dU3fbo1wm/gQGsU5IwZ1pcBpdSprVYfnyJyjohsFZEkEbm7mv1eIvKpvX+5iLSstO8ee/tWERlW2zrrs/x869v8U09Z10natLFaS+3aWd15s2dbrSj197m5WfP2bdliLey4ZQtceCE0aWJ1BX74obVNuwCVOvWIqWESNBFxANuAIcBeYCUw0RizqVKZa4HOxpirRWQC8E9jzHgR6QDMAHoDzYGFQBv7acesszo9e/Y0q1at+uuvshacTigqsr6ZFxRAdrY1iiwz07qmlJxs3ZKSrNZRxTIRXbpY15smTjy1l2uvL5xO60vAJ59Yo/0OHbK2h4RAp07W9ElxcdbyJeHhEBZmzZ4eEGCNpPT1BU9P174GpRo7EVltjOlZU7na/CKnN5BkjNlpVzwTGA1UTiajgYft+7OB10RE7O0zjTHFQLKIJNn1UYs669TWrTBokPUBV15u3crKrN/bVNyOxcfHGoXXqpU1HLpvX6v1FBZ2oiJW1XFzgwEDrNvbb1v/rr//bq2ttWULLFwIqanHnnzWzQ08PP57c3e3tjkc1l+RI29w5P0K+mNr1Rh5elpf0k+G2iSoKKDyggh7gT5HK2OMKRORHCDM3v57ledWtDNqqhMAEbkKuAogNja2FuFWz9/f+m1NxYeQw2HdPD2tDylPz/9+w/bxgeBgK/mEhVndSU2b6gdSfePmBu3bW7fLLvvv9uJi2Lv3vy3gzEyrW7aidVxY+N8vJSUlR35pcTqt5FZxgyPvV9DZ11Vj5eFx8o5V7+c0MMa8A7wDVhff8dYTFQXvv19nYal6zMsLWre2bkqphqs2gyT2AZV/xRNtb6u2jIi4A0FA5jGeW5s6lVJKNWK1SVArgQQRiRMRT2ACMLdKmbnAJfb9scAiY42+mAtMsEf5xQEJwIpa1qmUUqoRq7GLz76mdD0wH3AAHxhjNorIo8AqY8xc4H1gqj0IIgsr4WCX+wxr8EMZcJ0xphygujprimX16tUZIrL7eF5oJeFAxt+s41Si5+NIej6OpOfjSHo+/tfxnJMWtSlU4zDzU42IrKrN8MbGQs/HkfR8HEnPx5H0fPyvE3lOdJ4DpZRS9ZImKKWUUvVSY0xQ77g6gHpGz8eR9HwcSc/HkfR8/K8Tdk4a3TUopZRSDUNjbEEppZRqADRBKaWUqpcaTYJqyMt71AURiRGRn0Rkk4hsFJGb7O2hIvKDiGy3/4a4OtaTSUQcIrJWRObZj+PsJWOS7CVkGtXc5yISLCKzRWSLiGwWkX6N+T0iIrfY/182iMgMEfFuTO8REflARA6KyIZK26p9P4jlVfu8/Cki3f/u8RtFgrKXDHkdGA50ACbaS4E0JmXAbcaYDkBf4Dr7HNwN/GiMSQB+tB83JjcBmys9fgZ4yRgTDxwCrnBJVK7zCvC9MaYd0AXr3DTK94iIRAE3Aj2NMYlYkwpMoHG9Rz4Czqmy7Wjvh+FYswUlYE3w/ebfPXijSFBUWjLEGFMCVCzv0WgYY/YbY9bY93OxPniisM7DFLvYFGCMayI8+UQkGvgH8J79WICzsZaMgcZ3PoKAM7FmhsEYU2KMyaYRv0ewZtvxsecY9QX204jeI8aYJVizA1V2tPfDaOBjY/kdCBaRyL9z/MaSoKpbMqTRLi9or3jcDVgONDXG7Ld3pQFNXRSWK7wM3AlUrMcbBmQbY8rsx43tfRIHpAMf2t2e74mIH430PWKM2Qc8D+zBSkw5wGoa93sEjv5+qPPP2caSoJRNRPyBz4GbjTGHK++zJ/htFL87EJERwEFjzGpXx1KPuAPdgTeNMd2AfKp05zWy90gIVqsgDmtFcD/+t7urUTvR74fGkqB0eQ9ARDywktM0Y8wce/OBima4/fegq+I7yU4HRonILqwu37Oxrr8E29050PjeJ3uBvcaY5fbj2VgJq7G+RwYDycaYdGNMKTAH633TmN8jcPT3Q51/zjaWBNXol/ewr6+8D2w2xrxYaVflpVIuAb462bG5gjHmHmNMtDGmJdb7YZExZhLwE9aSMdCIzgeAMSYNSBGRtvamQVgrETTK9whW115fEfG1//9UnI9G+x6xHe39MBe42B7N1xfIqdQVeFwazUwSInIu1jWHiuU9nnBxSCeViJwBLAXW899rLvdiXYf6DIgFdgMXGGOqXhQ9pYnIWcDtxpgRItIKq0UVCqwFLjLGFLsyvpNJRLpiDRrxBHYCl2F9kW2U7xEReQQYjzUKdi1wJdZ1lUbxHhGRGcBZWEtqHAAeAr6kmveDncRfw+oGLQAuM8as+lvHbywJSimlVMPSWLr4lFJKNTCaoJRSStVLmqCUUkrVS5qglFJK1UuaoJRSStVLmqCUUkrVS5qglFJK1UuaoJRSStVLmqCUUkrVS5qglFJK1UuaoJRSStVLmqCUUkrVS5qglDrBRKSdiJRVerxIRMbXUd2DReSPSo/T7Jnr64SI7BCRfnVVn1J/hSYoVe+JSF6lm1NECis9nnSSY/EWESMi0cdbhzHmbGPMp3VxHGPMQmNMl+ONpcoxZ4rI/VXqb22M+a0u6lfqr3KvuYhSrmWM8a+4b6+Ae6UxZuHx1CUi7saYsppL1n+n0mtRqjraglINnoicLiLLRSRbRFJF5KWKJbkrtUSuEZEdwAZ7+z9EZLv9nJdF5HcRuahSnf8Ska0ikiUi34hIlL1rif13q92CG1NNPO4i8oqIZIpIEjCkyv7/HMvu/lsmIjkiki4iHx/tOCJyjogkicgDInIAeLNiW5UQThORLXbs74iIl32sq0XkP4m9citNRG4EzgcesI83yy7zny5DEfERkddFZL+I7BWR50TEw95XEdu99uvYV7l1KyKj7ZhyRSTFPp5Sx6QJSp0KSoHrgTCgPzASa+XTykYAPYBuIhIJfArcAkQAqfY+AOzrQzfb9TTFWjX1E3v3mfbftsYYf2PMl9XEcz1wNtAJ6Ie1IuvRPIW1Qmkw1gqlb9dwnJaABxADHO1DfqJ9/LZAN+COYxwfAGPMq8DnwGP28cZVU+wRoLP9unpgrbR6Z6X9LQABmmOdg7dEpKL1+wFwsTEmAOiKtbqzUsekCUo1eMaYFcaYlcaYcmPMDqwlywdUKfaEMSbbGFOIlXhWGmPmGWNKgeeBQ5XKXg08bozZZu9/BDhDRJrWMqQLgBeMManGmHTg2WOULcVKOs2MMYXGmF9qqLsYK4mU2K+lOq9UOvZTWAmrLkwCHjLGZBhjDgCPA5Mr7S8AnjLGlBpjvgAMEG/vKwc6ikiAMSbTGLO2jmJSpzBNUKrBE5EOIvKdiBwQkcPAg0B4lWIple43r/zYGOME9lXa3wLr23+2iGQD6UAZUNuBEUfUD+w+RtlbAF9grYj8Wbmb8SjS7KR5LFWP3byG8jUSEQGaceRr2Q1EVXqcbp/LCgVARQtqNFYX4h57FGOvvxuTOvVpglKngneBNUBrY0wg8ChWV1NlptL9/VRKNiLixpEftCnApcaY4Eo3H2PM6ir1HM1+rC64CrFHK2iM2WeMuRyIxOqy+0BEYo9xnNocv+qxU+37+VjJsEKz2tZtjDFAGlbyrlz3vuqf8T/P/80YMwKry3QBML02z1ONmyYodSoIAHKMMXki0hH4vxrKzwX6iMi59mCKW4GQSvvfAu4XkbYAIhIiIucDGGOKgRyg1THq/wy4RUQiRSScI6/THEFExotIczsBZNuby2t5nKO5sdKx78a63gawDusaXEcR8cVqaVZ2oIbjzQAeEpEwEWkC3Md/r80dlYj4icgEEQnE6tLMBZw1PE0pTVDqlHALcKWI5AGv898P5GoZY/ZjXZd5FcjAak2tx7q+gzFmBvAaMMfuMlzHkSPxHgRm2V2Ao6o5xGtYgwA2AsuxEtbR9ANW27HPAq4yxlS0Smo6ztHMBH4Cttuv61n7dVXcXwpsARZXed7x6sVcAAAgAElEQVQ7QC/7eDOrqfdBYJP9utYBv3Ds62uVXY7VJZgDXGzflDomsb64KdV42a2oNGCk/ihVqfpDW1CqURKR4SISJCLewENYF/RXuzgspVQlmqBUY3UmkAwcBAYB/zTGlLg2JKVUZdrFp5RSql7SFpRSSql6qUFNFhseHm5atmzp6jCUUkr9DatXr84wxkTUVK5BJaiWLVuyatUqV4ehlFLqbxCRY82u8h/axaeUUqpe0gSllFINSFZpGXMOHCK9pKYpGRu+BtXFp5RSjVVWaRlvp6Tz3t508sud+Li5cWlUGNfGNiHC08PV4Z0QmqCUUspFTJkTHIKIcPDgQXbt2kV8fDxBQX7sTH6R/PwdlJVms6AonndLz6MIT0Y2CWZis1A+P3CIt1PS+WhfJg/HN+eSqKoT+Dd8mqAaoYKSMqYv38PU33cTG+rL9QPj6VO6EtbPAu9A8AkBvybsix/Ad/t/YcGuBQR4BnBnrzuJXL6TrI+m4BETg0/nTri1SSTbJ5qDe/I4uDsX4zSccUEC+7ev4Pc5nxLctBntTh9Ay9jOlO0swFlYirOgDAz4nRXFhj1b+O233/Dx8aF///5EROSQmjoDN4cPHh7BeHiEICEjWJDj4MsDh3ACD7VuTml6ES8t3EazQG86RwfRrZknXWUrnmnrYN8aKMqBoY/xszOXV9e+SrBXMMPjhjPQ0RGzaBnOnBzKc3IwJSUEX3oZ+/JCWLPAum7bfWgLAsPzWfPNFzg8PPD2D8DbP4CErv3wOOBG4bp0nAVlBA5rQVZgEQsWLMDb25uoqCiaN48gMCiTwoJNHM5dT3FxGq3ibmabWxceSUrFITCmaQinefvwy6aDZBWUkF1QSmFJGRf2jqV32SpY+iIUHoJ+17K39QDe3vgBghDkFUSQVxBnhvSi6Zrd5HzzDaV7Ugi/5mrKew3il1nbQYSmLQOIiPVH3A6SlbKD/UnbyDmYRo9/jCGuRTdy5u3EWVSGT+cI3NoGsGH3FvLz8yksLKSoqIhOnTrRpEkOu3a/QWHhbqKjLsIrYhwv7Mmh2GkI9nAQ4u6gT4AvOfvzmftHKhtTD3PZaS2Z3NETx/d3QkkeRPXARHZjU2AoG/L2sj5jPck5yYxqPYoxPn05+PQzlO7dS8CQIfgOG07yAR/ys4spyi+luKCMFolhBDfJZ/mcT0nbsZ3EgUPoNugfFP+SgbOwDDcfd9x8PXBE+5Lqdoj169ezZ88eunXrRu/eiexMfoqiolQCAzsRGNiFA+6dWV/kw7rcAjblFTIkLJDxIUE8/d0W1u/NYXCHpozq1JSO6d8g2XugKNv6d4juxc62Q3h/w/v8lvobw+OGc0nChfD+p5SmpuIICsIRHIRHQjtyYnqwfeUBUrZkEdclgq6Dw1nyydsc3LWTpnHxNGvVhuaOVvgW+1GSkkvpgXzconzZ0DKD39csx+l0IlJOt+7L8fPbgb9fB1Id8bxZOpbWbOca7+8Z3fppvL0DGRgWyM0tm3Lvtr3ct30vXQJ86Rroe+z//A1Mg/qhbs+ePY2O4jt+xWXlvLc0mfeXJZOVX0KvliEkZxRwbuFcHvb4mHLvUDzchKziHG6PCGGljzcAnSM6k3YohZHfZjJstRP3li2gsIjDOeWs7n4bpZ6BIBAa6cfhjP0UHlpAeckeIlq2oigvF89cDwY0uwAPNy/Eww28HWws3sUfbrvIp4jIyEgKCgrw8PiTdu1+weHwxd3Di9zSIl4z17FOeuLEjY7+3mSXlpG2MQuPHbk0D/bBTaDwUBqzPR8mzu2A9ULD4jlQls/T3uUs9PUmLigOYwzFyck8Mq2c4HwQDw/cgoNJ9WlHcvNBFHhHENLM+s+dkbKFsoK5ONwdePn5UJybS/fgIbTw74CbOHAP98FgWH9oO797JOHn54untxeHDqXRucsPBARkAuDtHU2u8eWj4kEslsFEe3kQ5OFgY0Y+XivTkYJy3B1CsI8n/cpX8i/npyRKMgTFgG8omzM3cU1kMwocngT4hHC4KIdxPxQwdI3Bqwzcm0fiCApmT4YPWzpcjLuPF36hPmSmHqY09yucZbsA8A8Nw9vLj6iiVrQN7o3DzwP3MB/y9hziW881ZLjlIiL4+Pjg77+fZs1+Jyj4IB4eYfj6tmRbzl6elYfIkgjCPD3JKXNSnJSD+45cpNwQ7u9JdIgv/vuW8prXGwQ4SnGEx2MObuL+0EDmBlhLQoV6hxLhHkKHBdsZ9yt4ePrg0749uWv+YH3iVWSFdkAEvHw9cJYfJC9jMc7SZDx9fGnaKp6Dm5MY0PwCgj2a4AjywhSWs6U8hRXuSRRLKd7e3jRt2pTMzNV0TPwFT88CAgLak5e3lZlmLHOtCekJcncQ7eXBls0ZeCfl4jDQIzaE1bsyeMrxJuc7lmEQxDuI3V6+vOZZzHx/P7wc3nRv2p0/kn/j9jnldNzlxC0qEvIKSPNsxdY2Eyj18MfL151mrYLY9cd6SvK/RSggrmsP0vfsop3pQVxAJ5zuTnxahZHmfZgFW5eSK4UkxrXn9KGns2Xr7TidK9m+vQ++ASP4KL47B0rK+DLhMPu2XIO7ewDdun6En5+1FmR2aRkDV27F3+HGgp5t8XHU/6EFIrLaGNOzpnLagmpEHp67iRkr9jCwbQTXnx1Pj9gQyn54BPdfp7BEenHt4ev45OozeW3znfxxYA03ZWUx3L8VEe0eZM8d91C6MZ2vewuLRxjePOsTNr+yC8kupMuaf9NiUBcKhg7mu39PwWnccPcdRIsu59C7XySZH2yg2FnI3OQ36Dv5Qg77BPDr4i00kxD6OzvQZeAZHPT6iqQdS8nPb8aff/Rn3LhLmV7mxdqDhxjF1wzy2kb/+Oe4dfZuMnfk4mzuQ3bncOZ0iab1Z2ORAzlcW3wzbq3OYvK5/ty06HrKygq5KesQl/gE4+x6FzteuIpiRwG3XlnK0LMuZVjxBDZO3UJAyUESt3xIlxETSA3y4/s3vsDhEYrDewxnTu5F85wi8pbsI7loI3tLtzLwmhtZtnwlG/O2EeMM56y8RKLOS2TT4Ts5dOgQSUmn4+7oQa/zL+eqDbs4JKWMMF9whXcKLVo+wQWL93Og1JDfO5x/tG3Kax5bkelPs9+9OXcUXUXHnv9Hm1YZ3LLoRgLLS5mRspvWZ0wga3ckB1Y8yZrOfszv7sYdl7xM1k+ebFySSlDeLhJXTyHusXv4NXkrm37ehXfQWQSEd+H86/tx+ONNlGcXs+PwOvaTwqDLbuDHeSvIOpDPkLIuJMS2xmscrF47jrIyX3Yk9aRVq0sI6DyAJ/7cRkl5Efc67+Os0B7sLL2Oa7el4NfMl7wYX545sw1nb3gT0p9lp4lmbMGNXNJlKLmeXzF3w3tcVgQT8otpMu5N9lx/D8VbnfzeTlj4zwgeOPd+kqceJmtbLu13f04Lr1RCXnmJaQ+9iiC4e59O2/7DGDCiLenv/4HzcAlLD8zBJySEbpdfwrIpP9DMI5TE/Cg6/qMvuZEL2bbtB0pKfFi3djDdup3P3jYdmbt9P4PcVzOi/FOGJr7EtZ8dwiM5h7IwL3w7h3Nz71Z0XXQXXuuX8bZjIlPdx/LxVZ24cuFE8osOcfmhTCaHtyWw/b3sfOUaylJ28cZIDzIGNOXFTm/w0/N/EOA8RMy6t2h78RD2xTZl2y+zcHMPwOF1Ab5hXbiguz+5C/ew33c3SzZ9ylln38h3vy4nMCSAUeXdiNjsRVrUozjdVpKQcD9+vu15ZOtuNuUXMaVTHAnhQTTznc66Py5n1erx9Oo5G1/fOII93HmlXSwX/LGDJ3am8nhCbdfVrP9q1YISkXOAVwAH8J4x5ukq+72Aj4EeQCYw3hizS0QmAXdUKtoZ6G6MWScii7EWaatYtnqoMebgseLQFtTx+35DGld/spqrB7Tm7uHtwBiYewOsnQo9LiVn4NOc8+9fKQ/+hkLfH3j0tEf5Z6kD58xLSV4YTVmpF82feoptnUK4bsENnLflZgJzmjD65q445n3EvvfeY1mXBEJbxjHy1vtY/1MWO39K4cxgTzyDvAi/MpFv3n+e7Zs3UdCiHYmJiYwe9A8yP9rIfv9pZLb6ioiIobRJeJYPPpjKMt9QFrVox11xzbg0aA9r113Os6tuJDknmkdHJ9KxXTgT1yXxxsYHOSNtMTL+E6ZmJ/LA12to2u7fRPj78eagN4hZ/zklXz3B7iVRGDc/Yqd8xHOZnzL/j5+4cON9NG8VyohL49h3ww1sTt7GxugIotsnMuq2+5j/XhKyJ4ceXg78+jSjvIcHnz56L3nhURT5+DNo0CD6tOtOxkcb2R/1Poea/kDbto+Re7gb0z/7jO/6DaPI159Pu7QiJHceKzc8x/OrbiajMIwpl/dmmZTwwdZNrFx7JT6BzSi67Adumr2ZH/f8iG/0DBJCWvPGoNdp+v0DFPw0l90/ReA/YACOp+/l8h+uIH7z6bTfezpdB8fQ84wgUm+8gU2HDrAl1J++542nVY+RfPXyOs4I8SAECL88kT0Zm/j+zVfIa96KEg8vLrjgAmLzQsj8cj17zn4MvMvp2WMuP/zwK18n7WJ+l9OJ8PZiZtfWkPoKv236iqdW3kfbyGDevqwXEzfs5KwtH/PAjtehy0Ryzn6aGz/fxvL0+Xg0+4wx8WN4NGES8sFQ9q8IJntLOdGvvsKWxCDuWnw3fTacR3RGewZc2JaW7GD3v65mVa+O5DrcmPzMq2xZns/W73ZZ7yNvB2GXdmTjxsX8+MmHlHXogX9gEFdccjn5M3eQXrCA/Z3fJCxsIAnxTzJ//jLmpaQxv/NpDAgN4J22vqxbPZbPt/bni239eeKfiXRuH85VG3dx/fpnmJT6FQy4iz8TrmXsm78SET+DQveNTP/HdNolLaV01l3sWtwcZ7kXUa++ym8xBdy98D4u2/II/o5Axt3VnezHH2D7kp9Y3SqS1j37MPRfN/PnooMc/HEP3f3c8e3eBP/RLZj12H0klwgSFMINN9xAgI8/m+c/wX7fj4j1u4aEPrezPDuPMWu20zZtN+/36UTr1q0BKCjYzYqVowgJ6UuXzm//5//4/dv38t7eDD7t0poBoQEu+qSpndq2oGpsC4qIA2uNneFAB2CiiHSoUuwK4JAxJh54CXgGwBgzzRjT1RjTFZgMJBtj1lV63qSK/TUlJ3X80nKKuHvOn3SKCuLWIW2sjdsXWMnp9JthxMsE+fsw+excCn1/INb9bP6Z8E/oMIosx0WUZJUSNaopAYMH0z2iO5en34dfZjjBwwuIjA8m/MYb2dozkbKSYvon9iAwLIy+57Sgf7AnxaVOHCNa4RHqw8ArrqUoqjVupSUMPON03IO98b7IQWbcXIIOnkHH1i/j7R1Aq+EjWRzThg5Fh7kxtgkhIb1JcfybLZlRXNZlCRf0jCYxwJcvMz6mf9pPLO19D7QfweR+Lene5VfynZn0DriGmKBYnD2vYc/vrXAWFhH76NV4t2nD7d3vYGTyvygyhbQ53w/3kGCCnnmSzdERROQVMurSq/EJCGDgyDi6eLqR6xAChscRHtuSvpdfS6G3HwH5OfTp3QuPcF8KB6/gUNMfaFIyluioC2nfvj2FZ5/LXg9vJhRk0DHAl2bNxvHOxgdIy/PluZGF9I4L5ebYJkzb+TxSnMuGYf/G28ePp8clEBj9JWWFkdzZ+VWa+jWjtPfd7P01FA+/cpo/fC/NA6N4IfF12u7rx47IVbQfEYZXsybkTRjLllB/Yr386DduEpHxwQwdGEVwqZP9wd54tggkoVc/fHsPoNjhQZfY5rRv3x6/Xs3IOuMLikkl3vdBvL3DGHruuSzv0g+vwgJeDXEn3tebJlE38Nb6a3GXPF4eG0sTH09mx/lw+64P+DGsHzuGvkRQUDAXDijGo+lsfMrbcV+fB5Am7chLuJfsTaWE9Q4k4Kwz6dWsFzcWPkF0RnsKeieTeGYU/meeSeqIoWQUF9K3fReCmjSl94g4+sf6U17mJKdXM7xiA+k85FxMm84UFxczdEB/fAP9CLoolvQOM/A63JJ2Qc/h59eEVgMHs7Bjb8IL83gtoTn+3pF4N3uDudtPo3/MVsb3CKNToB/fFc5jUupXfNP2cjjrHjpHBzPmzBQOu62ji9+FtAttB73/jwPpgygvKCX2xrPwP+N0BscMZlLqHTjzHMSe78AvxIeIRx9hS3wM/kUlDOjYE9/AALokhtLVz51Mp8FzcCyeXt7EnTOGMl9/vA/uxVmQTxk5HAyYTUBOT/wX9aewsJQbN+8h2tuTUTlpzJ49m+xsaz1LX98WtGxxDRkZC8nK+vU//8/va9WcBF8vbt6yh/zycld81NS52nRW9gaSjDE77dmeZwKjq5QZDUyx788GBolI1SW3J9rPVSeR02m4bdY6ikudvDyhK57ublBWAvPvhbAEOPt+EGFXzi4+3vE0Ye6t2bjhbL5bv5+SvXvJmLOEgO5x+JcvheQlbP5tP6XbfNjTfjX/PvwE6QXpbPt9GfsK8+jo7kfB089ReuAAuYtScHca1jiFpfN2YZyGHxf/jNPdA9+0PSx44yXKSkvZvvspPNyDidh4IbmL9nGwuJS7UnNo4hD6rFrKqpUryS4o4dWfy0iMdNIjdDYHDnwNSQtp/ce7/Bg/kYt8hrEtv4iVaSvZXjSfKLfBfLgINqUe5tAnn1Cankv0OV54b34ZyopZ9+1e/HMiWNl2LvesuYOC0gKWzpqOm4cnnQ7kkPXqqziLyymcm4TD251fs0pY+d0uSktL+WXVGgL9/XDu2c667+eRm7uJ5KyXCC47g+DF51K8M4et+UV8Vu5Jz/JCyn5dzPbt262BBAccXN3jdwKLn6S0NBu3le/S5cAvvNbueialeXGwuJR3179NGfl4ZY/n+e934ywpYd/dD+Es9yT69Awcyx7FOA1bvsrGy9edZdFf8O6f75KbmcGiOTNoGhxG+5V/kvf995QfLsFrfQYlgZ4s357D5t/2s3PnTlLSDtDc253di74n5+ABDh78nkyv+YRnjqH8ywBK0wv4YF8mB8Sdcw/uYvXCBZSVlXHX55tJywvhmi7TyNx3L8Y4CVn0AN5ieLTNzTyVnEZ+aT5PrLyPJt4xHEyawCe/7aU8L5+012fh2TyM8OhN8MvLZKXmk7qigJL2aUx1vMLGzI3s3bKR9Sk7aeHhg9/UmRSsXUvhn+l4ZBezL9CL3xbtpbiwjAULFlBghMDsgyyf+h5lJSXs2vtvytxziNx9BYe/3U1puZPrtu4j2NODIeuWsXLpEkrLnTz87WGCfdwZF/8xSUlPQ+4Bgn97haQWQ7mi6cUsyDzMzpyd/JT+HuFuify0oi0/bDpA/ooV5P6+gfCzYvHZ+wlkp7Dqu1147QtjS7ufeXLX/eQU57By3hzynWV0dfMm86WXcBYWkT0nCUeIFysLnCyblUROTg6LlywlJqo5XrmHWPD2q+za/Rbl5fnEJ95NeU4JM5bsZHdRCU+3jeHicWMpLy/n888/p6LHKybmMry9o9ie9BTGWMnIx+HGc21j2F9cyqf7s1z4qVN3apOgooCUSo/32tuqLWOMKcNaNTOsSpnxWEtGV/ahiKwTkQeqSWgAiMhVIrJKRFalp6fXIlxV2fvLkvklKZOHRnagdYR1sZqV70FmEgx7AhzW7yeeXfksDnEwZcTrdI4K4+4569nzyGPgcND0mTcgMJryBY+y6ptdNGkZyNWXjKW4vJgnf3qERR+8RbP4Npz5zIuY8nIy3pxC3vL9+PVqRpfzWpO2M4cFXyzlzz//ZMCAAQy/+DL2bdnI2iXPkZOzitbxtxHQJY68X1N5evNessvKmdajLYmtWrJgwQIe/XIdhwpKeGZcfwID2rNjxwuYRY9BcCydz38Bfw8HN23azkO/PkS0fzRTxjyMv5c7b3y9lox33sV/wAD8rnoJsnawb84HrFmwhw5nNOemsZezM2cn73//Itt+W0qv0ecTffElHP72O7I+XUnZwUIiJneg1WmRrFmwh+/n/khWVhajxvyTVl17sPzLz0ja/gLu7v4knvEy7qG+ZHy+jVs27cbf3Y13T+tGUFAQPyz6iecXbKVj80CuHHIJpaXZpKy9FxY8AAnDOPfcOzhUWs6Dm1YxY/MMzks4jzsGns3KXYdY9toUClevJvKxx/AedSv8OZPNs74mbWcO/c9vy7nthzFz60x+/OwDnM5yRjz8JH6JnUh77HGyPtuEKXMSfWUnmrQIYOU3ySxcuJDAwEDGXnYlIsLi6S+xecu9BAR0ov3gB8FNSP52By/uSuPs0ACuPb03mZmZvDPvF77bkMbtw9oxqu+FHDr0Kwd/uxM2fYWceTsj23RlXnoOz637kEPFh3h50FMMbhvL8wu2suPJZyjdv5/I5/+NW+II+PU1fp+zBXcvBxdNPodQ71Ce/Pkxvv33CwQ2acK5z7+KR0QEaY89Sc63u/CI9KPtpHYU5pXy0+drWLFiBX369GHMpVeSvmcXSz9/lpS9HxMVdSHN+p1NyZ5cZq5NYUdhMc+2b8lZnRP5/fffee7rtWzYd5gnzutG25ZjSN0/i7JFD0J5MbEjniTBz5t7t+3mzp/vwtvdm49HvUiHyGAenPMnaU8+hXtkJKEPvAHA4XnPseqbXST0aso1F04gszCTJ7+7nxVffU77/gPpeMvtlKakkPHu95RnFRE6qjXdR8aRtPYgn06zEs15Y8dx2rgLSdu9hpQ9U4hs9k9CE7rh07MJ7xfn0d7Lk7NDAwgPD2fIkCGkpKSwY8cOABwOL+Jb30le3ib275/zn//vfYP96RHoy9sp6ZQ3oAFwR3NShnuISB+gwBizodLmScaYTkB/+za5uucaY94xxvQ0xvSMiKhxbkFVyeGiUl79cTtnt2vC+F4x1sb8TPj5aWg9CBKGArAxcyNL9y3lssTLaBEUxcvju9Jp1zpKly4h4rrr8IhpCQPvYfOOUHKziugzMo644Diu63odxQs3UlSQx7Crb8I7Nobg88+naIcDBAIHx9KubyTNWgWw4o9fadY0kv79+9O+/0Caxrcis3Aafn5tad78AoKGtSTN38FnWTlcGBlGxwBfRo8eTZYE8sWfB7n0tDg6Ng8mvvWd+KfuRFLXwZl3EuHjx+MJ0WxL+YSU3BQeOe0RmgUGcuUZrWgybyblublE3HorxA/CtB/Dr0sdBAS7c8a4BPpG9mVg9FkcmLcMv5BQeo08n7Arr8C9eSyF63Px7hCKd3wwZ1zQBu9QJ2vWr6Bjx47Ex8fTf+IluPlmkpW9mNiYK/DyDSHk/ASm+ZezJq+QxxOiifT1ZsCAASxOKWPvoULuOqcdQYEdiIm5BP/ls3C6e8Lo1+kQ4MuFzcNYvP1NPB1eXN/tesb3iqFDE1+YPgXPxEQCR46EM++gKKIfvy2ByNaBtOvbjGu6XENAoQdJS5aSOHAIwZFRRD7xOOKfQHFSLkFDW+DZxJfeo1qRmb+X1NRUBg4cSGizSPqNu5BCx0LKyvJI7PgSnqGBBJwZxSsUUlDu5JH4KBISEmjVqjVTVh4kMsiLK/vH0bz5eMKDzyRw6YeYsNZw2o1cHRNBmFsJX2z9hAHRA+gU0YnHx3QiMWsX5XNmETJ5Mr7du8FZ97A/txnJG3LoPrQFEaGh3NHrDszaFHIzDjL82lvxbRZJ+A03YMpiKc8pJnhkK5rGBdGuXyRrN67A09OLgQMH0qp7r/9n7z2D47qyPM/fe+kNMpFwCSS8944kAIIONKLorciSKFNmqlSlrmmz0z0zOxu7sxHTsds7sROz3dvb3VXV5VWSSpREiqKXKHoLGnjvPTJhMwGkz3xvPzw0qOrYiO3Z7dodKXS+EDyRefP6c+85//O/VOzawzLvo1Zbyc35M4zr7ciJBv5qboEKs4E9CRZeeOEFIoY4fv5omn1ldvaWpZCZ9RZGv4Sq5QNY/220ifn8x4I0Zudv07vYw7/f+O9Jt6bw3+0vorzjLqGeHpL+9Z8hJufDpj+iuUkHyNQfy6U8sZw3K94k8lkXolZNw+v/AtPWrRhrNxIYEtE4jOiL4qh6IR1Dmp+pmTG2bd2OzWajYtde0jYtI0lRsrL+GICW+iQGY1S8Ovr8ebLq6mpiYmK4e/fumi4p6QAWSzWDQ/+ZSMS7pn8rPYnRQIirc57f+x7z+5Z/ioGaBNK/8P+0Vd3/5WdWn8+2ooAl/kFe4R/dnmRZnlz9dxl4D8WV+LX8M8p7jWMsByP86e4C1i6ot/4Cgiuw5y9gVffTtp8So43hlcJXAMiKUfMnXRcYtSQjv/QNACIlL/PUd4oU4zDphUoA9oB1B7lTJkaLZOLTMgCwHv82mtRaBGkIlUWHIAqk1MlExQDxYh4qlQpBECjeZ0JjDKDzH0QQVKhitLxfb0OWZb4X1QFgNJpoEvIxEOaN6jgA4mybyJ8Q8Bs0RMoOAtBgkTCtXEOOaaAiSYm7fjNPz5HBe3SWbkJfqMTdpgr+B2bCeayLv4FGp1La4NuAza1G2paNRq9HNBqxnvhTBJUeQRgCQKNTEU4eBUmgMm8jAImZ2eTvjhIJqIg1HlL6NsvCrwr01M1HOWxUIOs5haW0S2lk6gNszlXakBNzgMT5ENPpNmST4mio1w6h8TeT6XiZBEMCKlHgz2MmSVyZ5+mWo8r4qdQ8lP+UYNRAw4YxBFHAbrJzdLYKCYmEHUrbdfn5GGpfI+oZR+MIApBaaCUQN4ZGMlFaUgZA2a4tJBR5WBpOQKN2ADBWEcfH6RpOLYvkm/QIgkBcST2uqJFtCUE0KhFBECicjcXgjzCzYReodZjVKuqF20hRL7XZ3wYg2arn30zfZU5vYejI6wDI9lIeRv8VRtFNZb0JgBdTX6ByLB5nUghDVjIA5m270RbuR/IOoM22ApC3OYagbo4ETRZ6vZICkdNgwGT3E3VuQqOxIqgErkf1vUAAACAASURBVG1LYFIn8McRpf56vZ5pWyUCEq/kK+Ou1yVT4opDEiR8NaeUMYg1key7SlSTTk7iVkWXrOd7fZ8ykJSDYc9eALxlP6Tb/wJFcU3ExGoB2LJSgGPewNwGC6ZYG4IgYDnyQ0S9DYIdCIKAqBKJJjgRozp0KykABMMTWLNnmOu0MtOveIj+fnYBuyDyQtsy/jZFp1ar2bx5M6Ojo4yOKvl6giBQkP/fEwrNMjb207V1vz/RSoZey4/Hvvwep3+KgXoC5AuCkC0IghbF2Jz/R585D3xr9e8TwA151VkqCIIIfIMvxJ8EQVALgpCw+rcGOAh08LX8s0kwEuUX94bZkpdAWaqywJnpgae/gJrvQlIRAP2L/Vwfu85rxa9h1iouQM+FC5g9c/y4/AhvP5kCoOuBE2/ESq3ulwgt7wDQevUiglrF/eQxHkwpwVrvsxUgzNLlvyE0Po4sy7R2PcOktTDbKuB1BwkGZ1mOXMTvtNPySRuSFGUmGOZDIciheRnT1TFkSeZ2/yyjyzI1umnanjUCIPRcwuhZYihDx+jErwD4oO8DZDnMonk/Z2cWAfD/9MeoRfhPjgaaxhRd0z0vBn2YouW/BWcH4UCA4Yuf40/S8r5wE1/YhxSKEpmzIPlGWfj7/4Tk8+F0OnHOj2OJZNF7T/HtezxNiDFjzLUn8PjjTwA461pkQYTvDAXxPVZysn5xfwS/pKJcGqS3txcAdePPQaVhMGGFhYW7RKUov2r9Swy6ZB4LW5kJhpGjUWwf/5aZpAz+w3wcM8sBvO4gPV0ayuIbie/530CWcTunocPJSGaQn4wo/RHsW4SogfDwdRZ/8xsAmpubCcleDJ4seh44AZhyvougkph8bKLn3m0A/nzciQWR7zzxEHYpp/J3mmaxakE7+YyZmRkIedE3n8Gdkkxf9B6SFMQT9NAxcRaVuZZfzZmRZJlAby+WrmauFW3n50+U3xxpn2faY6fG/D6aZ3+rzK07N1AHJFqyFzjdexqApesTCGoNvvs/x/fwIQBPWxpRiWqCQ3FM9C4iy1Fc8+8i+ZNovziBf3mJoCTxt2Ev5X5Yd9OJFIoysxTg9sgKFWYvPS2PlTjOZBOW0R7G02MYnlPOzncn7uILjBGyHuAnE3MALPz0Z8T4lvg/ig9yvnVa6cs780ioWcffQ/uHyLJM26WLEGfivPkpo0ujyBGJQJ8E0XkWf/vXRObmmJqaYso5QYo5j85bU0TDEkPDf4moMuAdLeTBB+/Ssezj9uIy381KwpBoYPnO5Frcad26dRiNRu7cubO2zq3WahITdjMx+Q7RqHIYUQkC309P5MmSl6ee5zerL6P83xqo1ZjSHwKfAt3AB7IsdwqC8OeCIBxe/djPgXhBEAaAPwX+3ReK2AaMy7I89AWdDvhUEIQ2oAXlBvZTvpZ/Nvm4aZKZ5SA/aMh5rnz4N6DWQ8Pz4flp+08xqo28VvQaALIss/ibd9AVFpKwdTNvPxxhaSXIsyujpBbEkpZvhlv/Ed/8NF23b1CydSfW2ATe7nqbwICbYN8i5m0OBDnE3N/9iIGBAVwuF5u3bEGWoePuJJOT7xKV/GRl/isWpibob3zIj8ZnCMsyf5ybTMTlI9C3yK/uj5AYo+PY+gza2tpY8rjh1v8C8flIZUcZG/s5S75J3u95n62pWym25fKT8VkC/f14Pj6H9dSrRBOT+ctrfcxNLDPWuUDFzgzUGhU8/gnd927hdS+y6dQbLIYWOdN/Bm+jE8kXwbovn8jsLJ4LF2lsbESj0VC3sZaxznnmJlYYGvorNJo4HI7X6Lx1nbnxUX48PkupWc/mJAsrD6eYWfTz07vDHChPpjDRwK1bt5A8k9B2GqpfRzDbGZ/4Nfen7jPgHuCHVX9ISFbzo/EZlj/7jNDQEI4//AP8EYl3H43RcXcSSZap2J0HrnYYuM6js++jUqnZcPQE9yfv83j6Mcv3JhEtWowb0vCcO4dvZobbt2+TkZFBVnoOz66MEvAvMTHxGxISXsBiKaT5ynnalrzcWVzhjzKSiBVElm6O82RkgUdDC7y1PRedWuTRo0dK/QMehM1/Sig0g9P5Cb/u/DW+sJc/qPwhXd6AYqx/9WsEg4GkV1/mes8MA65lHp0bxJpkoLjGCo0/QVpy8fTiWew5+eSWr+eD3g8ILHjxtcxg2piCyqxi7kc/Zn5+no6ODmpqazBbTDR/Nsb8/G38gTGysr5PJBii5dNLvDe9wGQwzH+bmYy0FGLlwRRvPxwlIsl8d2sO09PTyg3k+n8AYzzRujdxOs/j9Q7yi45fkGJK4WD2Pj5yLjDvWWLxvfeI2bcPVUkZf3dzgBVPkM47kxTUJGNNTYQHf81UbzeuoQE2HnwJtUrDrzp/hfeJk6gnhPVwIXIwyNyPfsyjR4/QarVs37MZ31KIniftzMxcJT3tDWoOfJPpgV7+c2sPRpXIN1MTMG9yEJ5cITS2DIBWq6W+vp7BwUEmJ587sVLTXiccXmR29uqa7lRyHFa1ih+Nf7nB0f+kGJQsy5dlWS6QZTlXluX/eVX3P8qyfH7174AsyydlWc6TZbn2i8ZIluVbsixv/EfleWVZXi/LcoUsy6WyLP+J/A9QlK/l/7VEJZm/vzNEqcPClrxVfi7/IrR/BOUnYdWtNOIZ4dORT3m56GVi9bEA+J48IdjXR9wbr/MHO3Jx+8L89r1ufEshag/lKKi/FRdtv/3fiYRD1Bw8xqniUzyYeoDrZh9ijAbr7gJsr7yC55NPuHv9OhaLhdpN68gsi6fz3hiTk+8TH99ASf1xbI40blz4mF9PznPMbqO4KhkxRkPX7VFu983yel0m27ZsQpIkRi79Fcx0wfZ/R27uv0aS/Lzf+hcsBBb4Zuk3+X56Ir3eAJ0/+wWCVkvyD9/irYZc7vbPce3sABqdirJdeVD5MnLrB7Rc/YTEzGx21B+lJrmGd9p+w/KdcXQ5Vix7a9EVFTF9+jTt7e1UVFSwblcOGp2K5tuXWVi8T2bmD6g78joqjYZf375Lny/AD9KTiNmSirQS5tcXuvGHo/zZi4Vs376dmZkZ5i/9TyBFEDb9CamprzE/f5t3O39JgiGB1wr2c8xu4+2JWZx/9yO0OTnkvXSIhoJETjeO0XlnkqyyeGK3HIcYBwuf/RVdd25S+eI+Xqv5DgmGBK40fkKw3415k4P4b7+BHAzy5De/YWVlhZ07d7LxSA6+pRDN939GJOIhK/MHVO87zOzYCH/XNYBBFHg9MxHTRgf+1ln++mov8SYt39qSR0VFBW2trUiPfgzJFVhK3iTGXErH0E94p/sd9mTt4c3cdRSZ9Py2vRfPxQvEHj/OKztL0apF3vukl4UpL7UHs1Ht+LcQCTDw3p/jdk5Te+QlXit+nTn/HJ2fPwQZYrakEf+97+J78oRb586hUqnYvHkTpVscjHXNMzz0S3RaO7nFr5OzroYnn13mr0ac1FlN7Cqxo8uPZe7+JO88GuXFEjsvblJuIN03P4ShW7D5vyE97w9RqfRcbf9zmmaa+Fbpt3gzIwW/JHPnvQ+QVlaIe+MN/mhnHkNzXs6e7iESlli/Pwtq3wRXB81nf4XOaKJm1yEO5x3mct8l3DdG0WZZMG8pwnrsKNOXLtHR0UF1dTV5lSnEOUwM9r0HSKSmnqK0YRdCRg6fBWVOJccRq1FjrLYj6FWsPJhaW9s1NTXo9frfiUXF2TZhMGQyMfnums6kVvEtRzxXZj2M+IO/7y3n9yb/9XNifC3/xXKty8XQnJe3GnKfx55afgsRP9R8b+1zP2v/GVpRy7dKvrWmW/zNO6isViwHD7I+M46azFg8rQs4CmJx5MdC5mYi8UU0N7aRXbWe+LQMThacJF1KQRgMYNqQjKARiX/zeywkJjLmdLJx40bUajUVO9JQxzwmFJ4lLfV1RFFF3dGTfBqXjl+K8seZdgSViKk2hd8Oz6ERBV6tyyAuLo6SkhLi+08jxedD6XGMxmxssZv5aOQeBbYC6pLrOJoUS2Y0jOrTT7Hs24faZuP1jZlk6rTMdy1SstWB3qSB2h8wtaxhdnycqhcPIAgC36/4PtXOPKTlMDE7MxAEAdupU/TIEpFIhLq6OvQmDSVbHXijH6JW2UhLfQ2jxUph/RY+wkCSRsXRpFh0ubEIdiMf9rjYkpdATqKZ0tJSHHEmrP1noPQYxGWTmnqK+aiGh86nnCg4gUbU8MeZdqpanhLt7yfhB99HUKl4Y2MmcQsR/MthKnakg1oL9T+kuX0KURSoOXwCnUrHsbxjpPdYQSNgrk1Gl5eHaetWWicmSUxIIDMzE0e+jdRCM0vB97Faa7Ba11G0pQFsCVzyRjhut2HVqInZmkq3KHF3ZIHvbs3GqFWzYcMG0qPDiHO9UPcWgiiSkfkmN+cm8Ef8vFX5FqIg8K3UBAouX0CORIn75hskmHUcq0rF07GIzqwhd10SJOQjl53g8aMuYu3J5NXWszl1M9nmbAwdEfQFNtTxBmJPniSQmkrH2Bjr1q0jJiaGki2p6CzTLK08IDXtNURRQ83hl2hJysQVivBnWckIgoB5o4PLy17c/jDf25qDRqOhpqaG+NELyCotVL+OVhtPWuobfDT2BKvWwrG8Y5SaDdRbjRjPfoSuqBBDdRV7S5Mpjjex0DJPbnUStmQTlJ9kWYijv62Lsh270eoNfLv029QslcByBMsX5lFfejqSJFFXV4cgCFTsdKCNv4FRV4fBkI5KrWZq3zeICgKHQkq+k6hTYVpvx98+R3RJMTJ6vZ66ujp6enoUdysgCCKpqa/i8TxjZaV3bS1/Ny0RlSDwy8m53/eW83uTrw3UV0xkWebHtwdJjzOwr0wJOCNJCrQ8rRZSKgCY989zaegSx/OPE29QblThyUmWr18n9hvfQFwNQr+elYwpCv4Mg1KWINBjfAFfSGR9vVKWVWflh3wTkAlVKAAHdUIC/Vu2oAmHqS4tBSC9OI7EkjtEA4nExSlB6OxN22gt30j57ASFJuU3pcoELhFiT6KFxBilvIbiRFLlKUbit4OoTFunbj3TIYljGTUIgoBWFPm3vS3oAn48h5VUPYNWxRFjDBIy6XV2pQ32ElrDVWhVEkX1mwGotdfysmcfQ6YptDkWAGL272OgoABHNEpSUhIAJVsNmB2tSMs7UamUPjE2vMhwai77A4toRQVE0JxnZkaSOJmh9K0oiuyJn0IrB5kvUgCrOm0CLVI+AnA0RwnAF5r0fP/uNVzxiWj37lPaXpDIxogWn04grdimjFX5q3QvJZGfImKKVXTHHUfY4dnAUNYsolFJHwgfP8aC1UKJVrt2WMmq60JtmMcoKKAYjVbH7N4ThEUVJ0xK36pitJy1CZiBV8sVAIXD4aBB34NfMCKXHQcgMWEvjT49hUYDOVbFnXzMoufInc8Zra1Hm5kJwGuVqWSFRAJpelRq5TfGbTtx+U1sqEpDFFWIgsi/NH4bS8jEXLGCYBMNBsb27gVZpsah1MNs05FR9xApqsaeqIB4UotK6Vm3lbgVN5styrhoC2x8IIYp0WnZkKn0UU1lKRV0MxlbC0YFtBKK2USHX8W+5HyMGgXc8i/dTjLGR5k8pABURFHgVGI8GgmEEmV+oDXRpm5AkmWqttYDkGnJ5FTgEDOaBcIZCpOcKj+focIC0hfd2GxKPRLy+9GYFlgcVNaBLMvc1tvInh7Bfeca/yDmegfIMiuNzjVdbW0toijS1NS0pnOkvIQoapmYfG9NZ9dp2BUfw8euRSLSlxNy/rWB+opJ87iblnE3b27NQf0PpJHDt2Fh8HduTxeHLhKRI5wsOLmmW/ztb0EQsJ16ZU2nHfMRVMH7kwoiSJZlnnUtkKD3kbGkBGvlqEzlZA7PTN184FJyMtxuNyMaNXl9/YTuKO4Ir28AbWw3831bmRlRgrefLazg1+opbPwct0tZhOf6Z/ADR90yclgCIGn8ClHUXJ20IkmK7pOpTiwqgSK5f61uFZ9fYSgtg5/GKsY55I9gnAjQrYlydUhpg8/jps8lUmqZRjt6E4Dw2DKJ/lg+tnxOy6xCdtI3Po7PYCCn8TGReQWUuhy4hCBGGX6wjpA/AsDHYgyaaISs2xfX+u3snId4QaB2fJXJKxohffoyQ2TyeDwAQDAa5M7CHGWGCJLnnlLf8XEyOtu4sHknn60GuOdGl4kPwX0xyODsCgADLW0Eo2rKxSZwjwEQ0yajltX8WPMeEUmpW1ckgkqSSL5ydS3YHlSfJbTsYOxp9lq/3U7MxOEaJ3z3cwA8/jA3Fr3sRoOqa3F1goyQGejiiVzG8LgCGGiabWE2LFGjd7O01KqUd+kSVu8yf7v1RZYiiuc+2LeEiMBZj4fgqu7Z036Mmiil4ftr/VY5ls2MZoG3Qx8q3RaN0idLOKadSJ9+BkAksozadoulsVrG2pV2DvmDDNnslHU0MvTsMQC3BmYZk6J8I6giuqjcQMwjV9ET4nN3Oj6fD4AzQzfRCgLrVYPIsjK3ii5fwGcw8rclG9b6SDXqxaWRuTiuzIVIKETrUIBc8wKxE0r8J7IQIHM+iU+t9zk/rGDJ2traCKrV5DU14W9W5pbL9QGCHMvwo1wWnV6eeLyMB8O8KEbofXiPoE8Ze3WCAX1hHN7GaeVpDsBkMlFYWEhbWxvRVcYIjcZGUtJ+nM5zvwM5P2GPYyYU4Z57mS+jfG2gvmLy4dMJDBoVx9d9gTDyyc/AGA8lyq1ClmXODZyjIqGCPJvCiCz5/bg//IiYF15As3pS9S2FGGmbw1RgoW16mR7nEuOdbcxNjLO+Ig2h4yMILhPomUdYiTKWv8jpntOEoiFaW5XNqsjnw/3RRwBMTr6LIGjxTTXQdnMCgNPOBRwaFRlTw3Te/hxJknn74ShVSTEUBcHXPgvhALS+z0r6dma8UYaGhhjyDPFg6iGH0qrwLN4hEJgi0NFBpLsb14HDfORyMx+KMNA0QzQsEcwycvqJgipsv3mNaFSiMgNoVLjMvE9doBVpsvVwbuAcAI2NjVhNJlLGx3GfOYssy0xOfYBRV41/IYmBphnmQhHOuBbZQwBvXxfOwX6m3H5u9c1yPCuBaL+b8IwPhm4hrjhxpu+nra2NcDjMpyOf4gmtsCcpi/GJt5FlCc/HH4Mo0rZtJ++vsgG03ZxAo1fRb5B555FijNpvfEZsYiLpRje0nkaOSHgbp/Fmy7TLPdyZuEMwGKS9vZ3C+Hjo7sbX+JjllR5WVjoxikcYbl3AtxTi3uIKw6Eoe/zztF//lHAoyIXWKYJRiSP2WHzPnIpxe/IzEEQ69HU8efIEgDP9Z4jRxlBl0jLtVBJQF95+G6m4hKc5BZxxLSJJMl33pjBnmhnyB7ncPo3Xvchw81NKK/JQTz+GmW7CMz4iwytMFixxZfQqc/45BgYG8Pp8lMSY8Zw/jxwOMzX9EbLsJ7Kwn47bCljgvekF1ALUuobpuK0Y2V/cHybFomM7aryrKEKe/pKILY+RqJ2mpiYCkQBXhq+wLaUKTWSKxcWHRObnWfn0U+b37ONWIEL3ip+Z0WXc0z4MBRY+7XTi8YXpfXgX/8oK1SXx8PSXIEXxPnWCAMNZc3wyoKA7nz59SnJSEnafD/fp0wSDM8zN3yAl5SVUopa2GxN85FrEIIp8a30lkVCQnvu315aveZMDaSWMr/25q66qqgqfz0dfX9+aLi31NaLRFVyu5yDr3QkWrGoVHzkX/wt3kv865GsD9RWSQDjKxbYp9pYlY9atEtV7JqH3MlS/ARrFhdY538mAe4Ajec8ZqzwXLxL1eIh7/bU1Xe8jJ1JUZvfBXNSiwJlnE3Te+hyd0UTRsbeUN3/aP2Kl0YnKomX95i0sBhe5M36HlpYWsrOzST18GF9jI/7hHqanP8Zu30/hhkIGn83QP7vCrYVlXnYkkFNeReet69zqdTE85+U7O3JRJxrwPpqGnosQcGPe9kP0ej0tLS2cHziPSlDxeuW/AWSmpj5g8fRpBIOB+lMnCcky52YW6Xk4TazdyP6GTIbmvDQOztH2+RUyyiqIb/g2jN5DGmvD3zaLsSKRhtwdXB25ysjECKOjo9Ru2oS5thb3+++zuNCI3z9CZs6rxNqN9Dyc5tzMIiFZ5g+rSlDrdLR9foX3n4wjA28cKAQRfE0uaHkXDDbsW7+F3++np6eH0z2nybJksbvwLfz+EeZmb+H++BymzZt5oSSfWwvLDLpWGHw2Q8kmBy9WpnDm2QSTo2OMd7VTtmsfQvZWaHmXQPc8kjdCekMJScYkPuz7kPb2dkKhEBsPHUKMicHz8cc4p88iCBqKK19Bisr0Njr51dQccRoV361dR2BlmZ57t/nw6ThFyTGs35hG2OkjPDoLTW8jFB8if30DPT09jM+Oc23kGgdzDpJm34PLdQFvyzMFffjqKcpjjPxmco7RjjlWFoNsfjGTzHgjHz2boPveLWRJovTYmyBqoOk3ylirBMp3bSIiRfiw70Oam5sxmUyU7j9AdH6e5Tu3mJh4G6t1PUXrt+AaXmJyxMPp6QVejLdSW1PHcPNT+kenuT8wzyu1mZiL4vE+dSJPtMBUE+q6N8nIyKSlpYWbYzdZDi/zjZI3UatjmZx6XzmMhMNUfeeb6EWBX0zO0f1gGrVGZN/+XEIRifOtkzRfvUhcajoZe78HnnHk3s/wPXWhL7DRULqL7oVuGvsbcTqdVK1bh/XQQZauXmVy+F1kOUpm1ily1yXS3eTi/Iyb/YlWsvMLSMzIov3GZ2vrUJcXq6yFL4Al8vLyMJvNtLQ8pza1WKoxm4uZmHxv7basE0UOJ8VyadaDN/Llw6F9baC+QvJZl4vlQIQT679we3r2K4W5fMN31lTnBs6hU+nYl71vTec5+zG6/DwMG567NLruT5GSayUn18bOoiQuPB2h7/EDCuu3os6uh6RSIo8+Jti/iLEmmY2p9QqSrPkKi4uLVFVVYT16FFQqRm7/r0SjK6Slvk5ZQyqSJPPT1klk4JWUOMp27GZ5fpa3b3YSb9KyrzwFU10KobFlpIe/gNhMVLk7KC8vp7O7kwuDF9icupk0WznxcVuZHjjN0qXLWA7spzg5iTKzgUt9s0wPeCiqT+ZAhYMYnZrzF6+zNDtD5YsHFKOt0uK/fgc5JGHaYOdY/jH8ET8X711EpVJRXV2N7dQpwlNTjLX+DSqVGXvSPorqk5ke8PD+xBxlZgNVCXEUbWqg6/5d3n88SkNBIhlpVvQFcfibhpB7LkH5SbLzComNjeVy02Xa5tp4pegV7PZ9aDRxuD77GZHpaWJfOs4rKXHIwKVbI0iSTFlDKq9vzGQ5GOHCh+cQRJHShl1Q9RosDuO934sYo8WYn8Dx/OPcn7zPoyePsNvtpGdnY9m7F8/1z3A6z5GQsIOkjDSSc6w8fDLF1VkPp1LiyS0pJz4tg89vPKB1wsPJDemYqpJALRK6qUDLqfkuGzZsQJZlfv7w54SkEC/lv0RKynEikWVmTv8dgk6HZd9e3nDE0+UN8ODmOEaLluyqRI5Vp/JgYI7WG9dIzisgPr8Cig4gtZzF+8yFsTyBLEcu9Sn1XOq5RF9fH5WVlVi3N6BKTGD6zi/w+8dIS32Noo3JqLUiv3kyzlw4wquOeEobdiFLEr+4rLj5jq9LxVSXjLQcJnL9x0qaReXLVFZWMjc3xwddH5BsSqbOsZmUlGPMuq6x+P57GDduJKmwgCNJNs5PLtD/xEnOukQqc2wUp1i4dKcZ11A/lbv3IRQdhJgUArc+J7oUwlSTzP7s/ahFNZ8//BxBECgrK8P28stIoQCTY+8QG1uH0ZhNYV0yHVYBdyTKCbuS4Fu2cw+uoQFmRhQwtCAKmGqTlQcOZxW3pEqloqKigr6+PlZWFLevIAikOk6xstLF8krn2to+YbfhlyQufwmZJb42UF8hOfNsAodVT33OKg2iFIXmdyB/N9iyAAhEAlweuszuzN3EaBVGiND4OP7mZiyHD68F0qcHPbhdPoo3K+6+E+vTsM70EAkGKd62Q2Gh2PAdvNMKg4SpJhm1qGZ/9n4WhhbQaDUUFxejsSdhbmhgVvUAs6kIi6WKWLuRxGwLl0I+NseayTToyN2wESEmjntjPg5VOtCqRUzr7ajULsSp+7DuDRBFqqqqcGlczPhnOJSjMDikpp5CvD+H7Pdje/llpb52G5pONwhQWJesgCWqHSy33cdgtZG7vk4Jkue/iHdQjzpBYfuuSqwiKyYL14CLgoICjEYjMbt2IqTHsRBtJDn5CCqVgcK6ZGYtIh3+ICeTlcB35Qt76VfZmVkO8Wqt0i/G6iR03usI0SBUvYooilRXV/Ng6QFaUcuh3EOIoha7/QChq82IVgvmnTvJNOjYFGvG07KAPctCrN3IuoxYSuwmFlvuk7OuBnNcPBQfIqpKJjAawViViKASeCn/JWwhG3OuOdavX48gCFiPHCaQ5SUUniclWXm4r2RLCndMElHgm454heFj6w5uz2tQiwJHqxyIBjXGsnjUo58gW1Ihcws2m428vDxuzN6gNL6UwrhCbLZ6dKpkAp8/IWbXLlRmM8ftNuwBmcUeN8WbUlCpRI5VpxIfnMM9OUZpwwvKPF33TfwrJcjBKKaNCsPCodxDaF1aJEmiqqoKQa0m9sgRFjTPUIlGEhNfRGfUUFBj51LET7JWzY64GOLTMrDnFnBtJEBNlo30OCP6wjjUliiqkXNQehwMNkpKSghpQzybf8ahnEOIgogj5STa7giRKSe2V5R5dDLZRvpYgJA/SvEmB4Ig8I0NaQiDTQiiSNGmbaBSw7pv4R1PQjSK6IvisOltNKQ2sDy2TG5eLmazGX1xMezJJqR243Ao5acV2ejKN2CJwFabsh6Lt25HpdH8zi3KWJkIAvian+c1VVdXK0nCbW1rOrt9P4KgVgiVV6XGaiJdr/1Suvm+NlBfEXF6Atztn+X4ne209wAAIABJREFUujREcRVaPvoAlqeg4uW1z10fu85yeJmjeUfXdJ4LymS2Hjy4puu+N4VGryJvvYJe216YRLm/n7DRRmqh8tqKXHYSr7Qbfew06lgFbbc/Yz+OFQfGVCNarUIDozuxhXBqGNtK+ZoBDNXGM28QOKhXUFNqjYal0t1EENlfqGz4okGNNekOMiJyuUJH43A4cCW40MpatqdvByA+fifmhzqkLBP6MoXG51hiLBXDISKZJsw2xbV5vCSOdO8o5FajUisu0HDWKUKRQozZKwiCgCAI7InZgyqiIiVP2SwFjQbpVA6ySiLZcgAAs03P6HoroiRzNFHJIbPn5jOQtIEYAuwsUvrNUBKHUX2DiC4HUqoAKK8sZ8I0QamuFItWQYQl6V9A3yKj3lmMuNpvJwUDcYsRNBVKfwiCwEGbG23YS9KGBmWgdGb8iW+BrMJYrpSVbEpmY3QjUSFKaZmCoDSsW0dghw5VQEN8vPLdnOpEOrN1FAYEMg3K+OXVb6XXXMg6a4h48yrlVKmITn5GxH5wDUFpzjOzqF6kIa5htW4i9vF1CCsRjAcUnVmt4uSMADJkbFQQlJnxJrYLI0iCioL6LUobcnbgE/ei0rjRZipt2Jm+k+yVbLCyhqCMOXoQf1UUiyd3DUFp3ZBAv13NHlmHanVu6ap3MSeY2Z2h1F8QBawZzYiyn0jBq0p/GAz4snzIyBzIWh1TcyGW1kRko4BpuzK36mPN1I6GCcSoSc1XxvlwRQqF3n7CyQUYrYoumvMSAakWY8o0wipKcathK/qIHl2aUg+A8J5YhACYJ5X+cEsSfUlqSoYChH1hpW7mGPJrN9F97ybh0Co7hEWHLjcWX8vsmvsuMTGRtLQ0mpub13QajY34uG24XBfXAB+iIHDCbuPu4jLOYJgvk3xtoL4i8nHzJJIML33Rvdf+AWjNULh/TXVu4Byp5lRqkmsAxZW3dP4CxtpaNCnKhhzyRxh4NkNBjX2Nsy7oWSDZO0GrLg+PX5nkwSkZSY7DGPxAecIDiLqiaGQNndrnLoblDCdIoL7oWtM9jAdtWCa75zniqF2VRmzYjWa4WVFEIxh8VwhE1xNwKYbMH/Ezqh3FseJgxa24NsLDo6jHoizXLBOJKDkkkTEvsT6Je2kqpNXFqx5vR4XE7ehzaknfQhEgYQqfW9PZFm2ExBDNUvOabilvGs2YgHxX4UGTZJlndhU5zjCRUaUNbl+YATGBfHc3HqcSvBc8Q+iEbrz+HUiriMSOlQ5CqhA2p20NhSXfGUWICCzVPHfDOAZ9SALcsj8n+rdNNLGiMtEYfk6c7PVtQCMMoXUriMRIJELMYgyTxkk6PAqDWCS6hL8wgP6BRHRWAV/0R8LMxqjI7/YSXEUkPp0Dv8pAzkzT8zjGynUEQWJ5efPabzZHmlFJKuJnnz9aoLnvI2qR8WQrsRJZlkkZ8DGapOY+q/MjEiZ1oYdBYxaDHqX8qDdCMFSEUbqK4Fb61z3rJiYUQ5e+i3BUmW/LlhFkI2g/da/V7aYuggAUdz6fRy2CA5UcIXX6OQxbF7hGWHLgm8lcq1uvupf4QDzhGaV8KRBA88yPrzLCSrBL6dv5AI7pEI8zNSysxnB84/3ERFZ4JGYRWkXW+UaMgBqT/3myLNMQESM8jChUTZIUwm3sQd+hxntJgZKfn3ETEaBsOMjA0+e3o/Kdewh6vQw0Pn/vyVidRHQhsMYsAQpYYnZ2lqmp5/Epu/0QwaATt+fZmu5Esg0JhY7ryyRfG6ivgMiyzJmmCdZn2shOUAg4iQSh6xMoOghaZXOfXJmkcbqRI3lHEAVl6AMdHYRGRrAePrRW3lDLLJGwRFF9ypqu+94tBGQ6TflcaFUWg69lFkEjY4jehsEbALS0tKA2qWkMNjLiGUGWZVyzFzCtpBK89pTI4iLLkSiXF5fZuCIw+ngGWZKZcvtpmvZRrZ6j8/ZqHsjIHYTADD7VHnwtyuK9PnadoBwkcyVzDSm4dOkSiCL+dRFcM1cA6Hk4jaATeWhX8XDVkHXfu4VoS6LRY6DftYwsyXhb5tHbnKgGP4DgCsFgkJH+EaJJUc4PnycqRVnx9uONDBPTl8DSBQVK/sC9wowsUT0VoeeRArm+3DFNVBYo9A3Sc3+VL631t8iCiDfUQKBTgSdfHLqIWWXGumBlZGQEAM/Zswi5CSzEthMITCFLMsNPZghkGTm3ssJyJIpvycN0ZwvLaZWcb3MhyzLhWR/hGTCamxQgBjA4OEgkGGHWOsvl4csAyolajGJ8JLC0emM+41pEDRSOBBluUSD4Hz4dJ04L8RPNuIYGABDaPyBqKsI3GkdkMUA4Guba+DVKtaUMdQ8RiUSIut347z1B2pyAc/YcsiwzN75CYDbAZK5hbWMcan6K5F9hwFrE2WYFyelrnQUEjKpbCtsJCnegqBLp1/dzd1JJU3A6z6GWYhBvOgm0tSHLMmdn3JRG1PhaF/EvhwhFJK50z1GpX2H04U2ikTAsTSNOPCBkfhF/q9LOzvlOJvwT5Ify11xkKzdvgi9IsE6N06kg4XoeOREEaMnScn5WOfx0372JqNXRrkrjRo9rdS3MoLH50SzcgJluQqEQPd096Bw6bk3dwh1ws7Bwj0h0ibjIepauXkWORDjjXKTQpKfUbKDn0fNcp/SSMiyJSXTfu7WmM5TGI2jE33HzlZWVoVaraW5+fphKSNiFKBp+B82Xa9RTHWPkI+eX652orw3UV0BaJzwMzKz8Ljii/5oS1C5/nud0eegyMjJHcr+A3jt/AUGrJebFF59/9YkLS4Iee7bibpFlma47N3AUFONIT+OjZxPIEQl/xxyG0kQEownaP8Tj8TA0NER1ZTWiKHJh6ALLy+34/aOkpL8EkQjLn37G5VkPfknilCOelcUgU/1uzrdOIctwsjYL19AA8xNj0H4GtDGIZXsJdM4jhaJcGLxAqjmVutQ6WltbiUajeC5dwlhbiz4lF5frIqFAhIHmWfLX29HrVHzoXGRpbpaJrg7Kt+1AFAUFRj3oRloKYdyQCmEf9F6mp6eHcDhMTXUNM/4ZGp2Nq/58EXvGcXxPnxKenuZD5yIxKpGDybEMNM0SCkQ43zJFXpKZ6jwHvQ9uI0cj0Po+5L6AYEvB2+TCF/Zxa/wWe7L3oNfq6ejoIDgwQKCri9jjJwAZl+sCk/1uvO4g5Rsd+CWJS7Nu+hvvI0sSlQ3bGZ7z0jbhwdc0AwIY16cp9D2eCTo6OjAYDFQUVXBt9BqhaIjp6TOYzcVYEtbhPneOqCRxbsbNjngL9hgd/U9cLHhD3Oyd5fj6dDRqFd13b8JcP0w1QfUrICsb8f2p+yyHljmUf4hAIMDAwABLV65AOEzs0ZfwevtZXm6n74kLUSVQtj6ZO4vLzIUidN66jtEaS8G69ZxvmSIclZTN3WFCk5kKHWeIRCJ0dHRQUlKCxWjh4tBFwmE3c/O3SHYcRdQZ8HzyCe0rfgb9QU6kxiFLMgPPZrjdN8uCN8SJmkz8y0sMNT+FzrOADNXfUBCJTu9zoFDOPnp7e/H7/XguXkKdlISlfieumctEo2F6G52kFthwJJk441wgEgrR9+g+hXWbibOaOdM0SXjGR3jai3FDBggqaP9wbR411DYQlsJcGbmCy3URtTqWlNpvEl1YoP9BI0+WvBxPslG8MZmZkSUWncpNUBBFCuu3Mtregm9JuVWLejX6knj8bbNrOVF6vZ7CwkK6urrWbuNqtYnEhF3MzFxBkp679I7bbXR5Awz4Av+Mu8/vV742UF8BOds0gU4tcqDi+Y2H9g/AlAg529dUV0auUJ1UjcOsAB/kcJilS5cw79iByqIYI/9yiPGeRfI22NfiRTPDg8xPjFGybScn1qfROuFh+PEkciCKcV2ykl/Ve5m25qcA1G+opz6lnouDF5l2nkMQtKSUfxttTg5Lly9zbmaRdL2WA9UpaHQqeh87Odc8ybqMWBp2bUMQRHrv3YDuC1B8EOO6DOSwxFhrD4+mH3Ew5yDV1dUsLS0xfO0a4dExrIcOYrcfwu1+TO/jfiLBKKWbUjiUFMuFWTftqyfRDTtfoD43ngtt0/haZxF0Kgxb6sCaAW2naWtrIzY2lgPrDmDSmPh0+Cou10XibPUk7HsZZBnXlStcnHVzKCmWinoHkWCUxw8neTyywOFKB8VbGlicnmLx4WlYmkSoOoWxOonggJvP+z7DH/FzKO8QxcXFdHd34754EUSRhMOvYrVU43R+Ql+jE41exc6NDtL0Gj6ZcdPz4A5xqekc2rEBrUrkXPMEvuYZdPk2VLUvATKh5tP09PRQUlLCvtx9LIeWuTv8IUvLbaQkH8d69AihgUHutHYyHQzzkt1G/gY74z2LnH86QVSSOV6TRc76Wnoe3EFufR8EEVXtK2gzLfhb57gyfAWrzsrR6qOYTCba2trwnPsEXUEByfX/AlHUMTV9loGnLjJK4jiWlUBUhk+GxxlufkLx1h0cX5/JvDfEw6eThCdWMFYlQdkJmOli8NktAoEAFeUV7Mvex+3x24xOnUWWwzjST2Levp2lTz/jnFPJfXq5wE6cw0TfYxdnmyZIMGt56cU6jNZYum7fUG5lKZXoN9aAAJ6WKa4MX2Fn+k42Vm8kGo3S2djIyp07WPbvx+44RDg8z1DnQ5Zm/RTU2nnJbuPpko/GRw8I+ryUbNvBwQoHt3tncTe5lENCTbay3to/pLW1FavVypayLRTaCrk08DGzc5+TlLSHmG07EWNi+KRTyWE6lBRLfo0dQYDeLzBGFG1uQIpG6f9Hbj7JFyHQ99xVV1ZWhs/nY3h4eE1nTz5MOLzIwuLzJOgDicqrBhdn3P+P9pn/P+RrA/Ull0hU4nL7NLuKk7DoFXobAh7ovaogllQKGGBgcYD+xX72Zu1d+673wQOiCwu/494bbFJcbvkb7Gu6rrs3UanVFNZv5VClA0EA16NpRJMGXW6scksL++hofkJaWhpxcXEcyj2E0zvJ5LQCa9ZqrVj272e6q4c7C8scTYpFq1OTW53Ig6ZpepzLHKtOxRRrI720DN/TDyHogbKX0GZZUFl1XOw4j4zModxDFBYWotVqmTlzBkGjIWb3bpLtBwGZ7sZBYuL0pORaOWmPwxuVaLpzk5T8QmKTUzhU4WB8zstK+xyGkngEnQYqTrI88IihoSHKy8sxaAzsTN9J59QV/P5R7PaDaDMz0VdWcLF3GG9U4mRyHMm5VmLi9Jx5NI4sw+FKB/m1m1Cp1QQaf70aA9yHcZ0dZLjY+QkpphSqk6opKysj4PezcP48xrpa1ImJJCcfZckzxECTk9zqRLQ6NUeTbDSNTzLR3UnRpm3EGrXsLEpiqNlF1B3EtC4J4nIgrZbe5geEw2HKy8upS6kjTh/HwPh7gIDdfhDL3r0IGg0f9A5jVIm8mGAlvyYJWZI50zhGbqKJ4pQYirfuwOdZJPLsXchuAEsKxooEll2L3By7ye7M3eg1ekpLS5l6+hR/ayvWI0fQaq3Ex+9guKOblcUg+bV2is0GCk16Ht+/gxSNUrxlOw2FicSZtEzen1Q298pEKD2qJAI/vY/BYCAnJ4eDOQcJSSEGx9/FZMrHbC7Bsn8f4YUFPp6YYXucBZtGTUGtnZFhN593uzhcmYpOq6Fw01YWO+8oN8CyE6hitOjyYrnbc4ul0BIHcg6QkpJCYmIizrNnIRzGcugg8XHbUanMdD/qR1QJ5FQlcsxuQwAe3ryOKdZGRlkFhypTCEUl3M9c6LKtqCw6qPgGK+45hoYGqaioQBRF9ufsB1870agXe9JBRK2WmBd386kuhhKjjhyjDpNVR3pJHL2NTuRVWqLEzGxsjjR6Hzx/XkOfH4toUq+5vEHJidJqtXR2Po/7xsdtRa224nI+R/M59FpqLCYuzH5toL6W/4+kcXiBuZUQhyocz5XdFyEa/B333tWRq4iCyItZz115nvMXUFmtmLduXdP1PXFhSzERn6rEsiQpSu+DO2RX16A3m7Fb9GzLtGGfCWAoT0BQCZCxiVljIS5PgLJVFN3OjJ2UGtXIUQ/JdsWlaDmwn9tVNUSBo3YFmVZQl0yrHEYlCBxYbUPhpm2kRXuRdLGQsx1BFDBUJXItdIcyWymZlkw0Gg2F+fkYnj7DuHUrKosFozEbg6aGuSEdeRuSEASBjbEmSlbmCU2OUbR5OwB7y5KpF9WIwSiGylWwQfk36CBfoUuqUDgG92bvpVCzBKhITNwDgPXAQa6mZpOqEqizmhAEgbwNSTxYWKLcYSErwYTebCa7spo4TxNy4X7QGNAkGPClyzT6mtiXvQ9REMnJySHZ54epaSz7lJy0pKT9eJ3VhAMyBXUKXdPRpFjyB9pBlinctA2AI1UOav0gqQX0JatAhbLjtHuMWMxGMjIy0Igadme8gCXUh8W6gf+TvfeKjSTd8vx+EemTmclMpqMtehbJJFnFcl2uq7vLkuXazMzOndHMaKCFpJWw2gc96UkPAvSgpwUELFZYrSCswWDuXNPd5UhWVXeX944myaL3TKYhM5neRughsjKr7tzZuQIkoBvbH0CAPAxGfhH83Pmf//kfnc6FympFe/IzblkcDNotGFUi9joTKreeie1E8QAi0Lz3AE22PJqkr8QCNfQ5eWoeI1VIcb5ZId709vZSu7CILAhYLipsOLf7Itvznag00NynvN+vXDZ0Ey8xV9fiampBoxK51FtNcyCDungAweQi1/gJ08EsXV1dqNVqPHYPfZW1qLNLVLs/V0RgT5xgsrsPHyJfuhQWXftBNzOaArmCzBf9yjjqPHqCdqMPGQF6FGq9cY+LO+ITzGozR2uPKsKtfX2YX79B1bgLfXc3KpUOp+Msm2+tNHRZ0VdoqNNrOaETkN+O0XnsE0RRxd4GK8fMBgyxXHkcdV5gUuxGlpV3A3Cu6Rz7jAXyYgU220cAJM9fZKK5jbPRcl3XjkPVxLczbC4okJ4gCHQePcHq1ASxbUVFQlCJGPqcpCa3kdIKsUWj0dDZ2cnU1BT5vGITRS0u5zmCoVsUCqnSZ1x0VeKNp1lI/jQUzn/eoH7i7eroBhVaFZ8Vac2AAu/ZmqG+nHQ7sjTCweqDOAxK+Q0pkSD23XeYBwYQirTmeDiNb26HjoOuEry3PuUlEQnTeexE6fZ/UWVFi0CgoUjIEEUmqs4BMt3NyuJgUBsYcFSRlgSsNoVOrGtu5u4np2kMh+guCsPWtFt5qyvQpddRVaH0o71/L63mLTb1HlApXmGwPc2Cfo2T6uOlfngAfSpFqphcDFDY/gpZVlHfU5yogsDp1SkkQaTmoCLoaTVq+YXJREyQ0bYUizm6OhnX7KNGE8PpVBabw9Ufsb9CIii40WiU66Rz53jR1cdp3zJi8R1pWs34VTJHrOZSP/Z3mtGLOYLmfSXbo0YvkiBxzqbk/6hUKvpiMSRBQF+kNWu1VaR8g6gNUWrblc/0mAzsWZgg7q6nqrYOgE/bHXyKhhmzClGrMC2TzQPM0USPLYNYpIOfq+3BpZEIqZpK/Xg9+Dlxg5ELOwphQBAE/HVaZOBkk7LZqTUaDrVK5CSRXPMZpb9mLfdrxqgqWOl39gNQX19P8/o6sfp6NG7F67ZVniC2dgBHy2aJBTqgk2nYWCTh2V8aW1/WVlGPyJxDW+rbrOMcWTT0VOtKfbvsVjZq0aL8/0S9nvuXvkKXzXKuUiEAWewGFisFqgSRnloFrq5p243HtkVIqINK5b2JXSYem8Y4IR5CUxxbnQ4HrmCQWH9/qW+qzEVySRvVneUN5MzmHKJUQOj/qNS3v7JayCOTKQoMozPj1R/EKURw2ZVDmFtvwWOQmEwbEQTlffzQoAjrHv++XMOpeY8DlVpk9mXZO+o8dgJkmZnHZajO2O+CvETKW+5bT08P6XSahYVy2T139WUKhQSh0Pcl28ViSsS1n4gX9fMG9RNuuYLEsHeT091u9Bpl4BPbhMV7ivdUnGxvt9+yFF36AN6L372LnE5juVCmoM8Waa5t78F7048foNbpaOk/WLJ5dvL4kPi2iGXLsow3Xkkja1jWlMlQKKSpw8+bpMiLoMK228zkeF3XyKcP75BbXQXg9VqEmCDTHJZK4quG9QdoRImXy6oSnfj7hAJzHF3pLvXD/GaUnFrNlKmiZAvNN6Ix+cmpb5b6VjnxkqX6Vu7mlPchZQv0JGV+kHO8XFdOq9vb22zkLPTkXkN4CYBEfIxKlcR32zHSeSWwfEtSkVerOX7161LfHgQiCEB9MF/qR212inRBzehiOSB9W35AU7qW+qXKUt+qJifZrK5mzq+wwbKpPJGVOsz1T4nFFGZWxO+jyr/Ki+Ye/MU8FmElTiUCv4wlSOeU4PjU2jYSKnpidxX1EMCam0OSYSRU1nEbrtmFLbZD762hku1lKoWzICAVRXwp5KnNz7IQr2JhcgqAaDbKM9UoJyL7kDaV58rOzWEKh5lzuYjFFPrzxkyKQrYCnftGKUifHH2OKMvcadhd+sxGf5ocMn8bjZdsEzEzFSRo2i7DWrVssJARueNT2HZ5Sea7xjYOj79CfvoEgK14hrl8lo6UyNZ6kWjgH8eqjjO6aSQVV/r2KPSElCrNsbVe5ILyjsRHSozHW1VV+kz/tAtBlUNVdaNkq5h4SbjSzg96W+n/1xXJ85w8IwtFMeFYjOWkHo88VWK2BoO3UAsy34ejLO4ocaJroSjtiSiO61cpFN+bVq+mscfO/KsAUhHmq6qtx9XUyttHZW0+bYMZlVVH6j1tvpaWFvR6hXTzrtmsh9BqnfgD5Weo02vZbzFy9ScSh/p5g/oJtwdzISLJHBffh/cmvwVZgt4/LpmGloZQC2pO7zpdskWHhlE5HRj37y/ZZp/7cTWasbqUU6lUKDDz9CEt+w6hKZbfKMSzSIs7TNvUXBtXRET9fj+hSJyeinCJJry1dRfkNJNZEyNLIwBcDUSQBYHPXj4mekOZNNfHfGhVIi1pkcWx4oSb+A05bRUzPgnfrFLfZnhpmD5dN5VLGvKRDFI2S/zWLZK9vUzNz5PL5UhGs/hmE7jafQQCV5BlGd/sNOmtIMGufaUNNT29jSovc19V4Mqokq/0Dr/3MAPerwEU9p6g5VUiX6I6XwlEaCjkaH3xpER1vjLqo9tiJD4XJRnNQi6NODtM0NjDzNOnFPI5fHEfo9tjnBKPkxpTPJfUmzfIgQDBjo7SwrI4GkQqCFQ2juIPXAdgukhZf9vaU4ofJMeCSBqRu/kMd6aVg8X4+Dj2CjU1kecQmESWZYKBGyQ0DdzdeEk4HSaRL3A7kuB00EdqZAQ5n2d1O8mYL8oBo5HZ58VcteWHqDJhlgtNTD9Snv275e/IyTk+iR8gWXyG6NAQiCIrDfVMTiq5QzPP/GgNMgbnM8JhZfGffnwfsbqOp3or04k0siSTGg+xUaXl5lyIaDpHJpNhZn4JjzWL6P0tSBKJxDzZ1AI+ahlZVsbRg0iMLUROT74pjaNh7yaSDJ15dTmfaPzXyIKK6Z0q5p49Lo0jq7qSvq1WMgvKu4xev0G+uYmFZJLt7W0kSWb+9RaO5giR6Aj5fILkTgTf5ASZnv1cDe4gyzLZlRhiLMeYWVVKvXj3Drq1PphQlP39getotG6WsyqGl4bZzOR4tpPgosOCnM0Su3W7NAfbDrhI7mTxzZU3kN1HP2Zzbqak9i8IAoY+B+nZMFIxuVetVtPV1VViDyrXqXA5B9ja+uEDhfOLTivj8dRPopDhH7RBCYIwIAjCtCAIc4Ig/E+/5/c6QRB+Wfz9U0EQmor2JkEQUoIgvCl+/R/v/c1+QRDGi3/zvwulyno/tz+0XRv1YdarOdHhKBu9X4PLA07lpCrLMsOLwxypPVKqmluIJxTG0rkBBJXieUX8SYIrsQ+8p1XvOKnoDp1HyjGq1MQWSFC5383KdpLx9R28Xq8ik9N3AJYeQNSnTEpNFY2uM9xevk2ukOPbQBiPSU9nbTXR6zcoSDLXx32c7HRSZdMz98KvVP6dvYXQ98eoNFqmH91jPjLPXGSOgVYlTpMaD5J48BApGsV2+TKZTIb5+XmF4CFDx8EGkslFYnEvM0/uo1Kr6Tt8hPvhGNu5PKmxEKJJg73bzo3xTfIFCa/XS11dHda63eD9GknKEwgM4XScxqxzMLQ4xHYuz71wjM/rnIgaDdGhYbwbURZDCb48UI8sw8LrAMx/B5ko6n1/SjoRZ2n0FTeXFY9uoH1AoToHkkRvDCFotdgGzjE7O0sqlWLuZQCTTUd9RyOBwDCyXODto3vUdXbTUF3NN/5wkeK/hdFjx1yh5dqYj2g0ytLSEr17+hEEESZ+q1D80yvsqvkj8nKeW8u3uLUVJSXJfNHgprC9TfL5c66PK3lcn++rV1S7A0mFmq2pQNP7OYuvX5BNJRleGqbOVMeehr2kRoNIkkT0xhDGQ4eo3LULr9dLLltgcSxE675q1FoDfv91Ylsh1t9O0nfsBCLwjT9MdjmKFM1i3e8mW5C45fUzPT1NPp+nZ88+RQFl5XHx9C/QUPMFY8ExNuIbfOOPYFaJnGlwE7/9HVI6zbVRHy3OCva1VzH30o8sScpcaDuNztHA9OP7JHNJ7q7d5UzTGdQ6Lck3QbLLy6QnJ7FdVIhCXq+XjZkwqWiW3YcakKQ0odB3zD57hCxL7D3+CeuZHC+jSSWnSi3g2ufmyeIWgWgar9eLy+XC5fkYpm+QS/rZ3n5ITfUl+l37GFkc4Xowggx80bMbTUNDaZMFaOp1oNaIHyTtdhbjju+TJYy9TijIpCbLeU0ej4dsNsvc3FzJ5nINIkkZtrZ+KNkuFuN2PwUv6h/doAQFNP1XwCDQDfyZIAjdv3PZPwXCsiy3Af8S+N/e+928LMt7i1//7D37vwb+a6C9+DXAz+0Pbpl8gZveTc52V6NTF+G9qDKp8XxZum40OIov4ftAGDaSAg/0AAAgAElEQVT+ww/ImQyWwfIrn32hUGXbD5RjWdOP76HRG2jqL3tZqbEgaqeB40caUBfziSYmJmhubsa0T6E6FyZ/TSj0PS7XAGebB4lmo3y78oQX0SRfuGxYLpwnMzvLw/ujBGMZLvTV0rrfxcrkNrnRb0HKoe7/Bc17DzD95AHDi0MICAx4LqCpM5EaCxEdHkKsrKT1yy8wGAxMTEww9zKArdpIW88pBEGFf/MG008e0rR3P5d31ZKXYWR9m9TUNoZeBxf31LGdyHLr9Tybm5sKwcPzJfhGCS//hlxum5rqS5xtOsu9tXt8vRmgIMPn9S4qjh8nOjLCtdEN1KLAV0d3Yas2KjDpxG/BUIXr079GX2Fi5vEDRpZG6LZ3076vDwRIvN4kOjyE6ZMTeA4eRJIkxt94WZncpm2/i2r3BbLZAAveG2ytrbD76Am+KFKd1yaDyOk8FXucDPRU891UgLHxogfYfwiaT4D3t/j91xEEDT2Nf0mTpYmbSze5Eojg1qr55OPDiEYj0RtDXB3dUAL+Hyt5dHPP12HyCuweoP3YSfK5LK+efc9T31MGmwcx9rkoRDLE774iu7SEZWAAj8fDysoKb5+vkc8UaD9Yg9N5hmDoJtOP7wDQf/xTjlpNXA1GFA9MLdJ5rIE6q4FrY8o4slgs1B/9I9AYYeLXBALXsVYe4HSrggjcWLzFjVCEQWclzoEBpGSSpZt3ebq4xcW+WtoOuImG0oRf3oWdVYSer9h95GNWJka5PTtMKp9ioGUQQ7ed1OQW0RtKDMj95RfU19czMTHB7IsAGp2Kro8OotNV4w9cY/rxA6pq67nY60ErCFzdDJMcD6LfXcXg/jpkGb59PsfKygoej0cZR5kowbf/ClnO4XKdZ6B5gPmdef5uw8fuCj27TQYsAwMkHj8mH1Zo4xqdisZeB/OvA0gFJdfJ4nRR29HF2/c2KE29CVWVvuTJAjQ3N2M0Gj+A+azWA0WYrwznNui19JuNPwk23x/iQR0C5mRZXpBlOQv8LfD571zzOfDvit//Gjj1n/KIBEGoASyyLD+RFSD/3wNf/EPX/9z+frs7HSSWyXNpz3u5T5NK/Rk85Vc5sjSCVtTyWcNnJVt0eBi1242hv79km3sZoKa1sqRbV8jnmX32mLYDH6HRKgHrQixLZnEHQ58TW4WOEx1O7r2ZIRwOK4u7cze4PIQW/xZJSuFynedo7VHMGjP/bkXB3i+7rFjOnQNR5MrdSfQakVNdLtr3u5EKMpnnv1KEbWv30XnsBPHwFtdnrnKg+gBOoxNDr4PM0jbx299jPnMatV5Pd3c3M5MLbMxFaD/oRqutwmY7ysLoCPGtELsPH6fXZKDZoGX5jR/yEsY9Tj7d7cSkU3P/mRLr6e7uLr07/9K/R6UyUVX1CYPNg2QKGf7j2gotBh09JgOWwQFyPh/XXi5zrM1BlUlH+0E3gTk/8vQN6P4clc5I26EjvJ64z3honHNN51BZdGibKondekghGMJy/rziuVmtjD9cRirItO13Y7d/hijqmbj3LYIg0vHRMT4vnnxXX24i6NXo221c6KshlSvw5NUoLpdLIXh4vkLeXiDg+wZ71cdotVbONZ3jaWCc21s7XHJZURsMmE6eZOr+C7wbUS7tqVWo+W2VxF7egtQ2eL6ibnc3JlsVV8Z+TUEuMNA0gMFjB7VA5FdXQKXCfO6ssigD4/eXMJg11LVbcbsvks/H8N4fxtXUSlVtHZddVhYSaWLjIQydNlR6NRf7ang6u8nc3Bw9PT2IOhN0DBBfuEIiMYvLfYEGcwMeu4dfrs0SzUt87rJhPHQIlcPB1bsTSDJc7KuhZa8TURRIP/k7UGlh9yCdR08gSxJfj/8dDoOD/e79GPocyKk8kSvXMOzdi6a2Fo/Hg38zwNxLP817HGh1GtyuC2yuPmJtcpyOIx9TqVFz0m5mYTqEFMth3OOkzWWmq8bC8zfjyvTzeBRqvsFGIDiMXl+HxdzHmcYzyCobo4kCF4s5SZbBASgUiN0uw3ztB1ykYjnWZz+E+UIrS2ytKbFbQRAw9jrIzEUoJBRIT6VSKXNhZoZsNlu87h3Md4dCIVm630WXlbFYiuUfOcz3h2xQdcDqez+vFW2/9xpZlvPADvBOpKtZEITXgiDcFQTh4/euX/tH7gmAIAj/jSAILwRBeBEMBn/fJf9ZtmtjPmxGDcfa3oP3Jn4L7l5wtANQkAqMLI3wcf3HmLQmxRaLkbh3D8vAOYQi02t7I8H2RoK2/WV4b2VilHQ8RscH8F4IZDD2KZ95sa8GU2oTQRDp7OxULvJ8SUBcRquuUoK0Ki0nd51kNGNlr1lPo0GH2uFAe+gjbu9oONnpwqhV42oy47BnMG4VPUBBoKX/ILEqgdX0BucaFZq3sddB3j+BlEyUqNkejwdVzAoyJXFbt+sim1MpVGo1Lfs/QhAEPnfZaJyPgUWLdpcFvUbFmW43ycAS9fUNVFZWQmU9UsMhgvlpnM7TqFQ69jj34DC1MpXS8rnLqlCdT55k1tnMWqLAxWKCdNt+F43alwi5JBRLou8+8jEzNiWAfrZRofgb9zjITDxA0OsxffIJgiDg8XiIrsqYqnS4msyo1RXY7Z+xNrpGfXcPFVYbjQYdB4wGHPMxRfZGLfJRs536CohvbZYo/nRdIlqpI50P4XIr1O+BpgHS+r1kZbhcZHJZBgf4obIVAbjQW34Gd/w7ZI0J2k4jiCIdh4/zIu+l0dxIh60DUa9G124j9ewOFYcPo7bZcDgcuBzVhFdytPa7EFUiVbZjFJJ2Qkub7D6qjKPzTiv7wwXEeA5DkYJ+oa+GWmEbSZJKGx2eLwmYk4CAy6l4+ueazjFTqKFSJXDCZkZQqbCcPcutmI4Op5EOtxl9hYb6TiuVoRHkttOgr8Sxq4mK+mpep6Y423gWlahC325DygbJLc6VkASPx4M2ayWbKpSgbpfrPOF5PbIss7sobnvZZaN/Na1Q/DurSnNBtbNOlcOFw+EAlYZc1wDbqhAu+2kEQcBhcFBd/RUgcKn4P9B1daFp3EVsqMzma+yxo9apPoD5Oj46BoLA9OP7JZuhzwmSTHqyzObzeDzkcjlmZ2dLNgXmSxMKlWG+S++SdoM/7hIc/3+TJHzALlmW+4H/EfgbQRAs/29uIMvyv5Fl+YAsywfe0X//c2+pbIHbU34GeqrRvCvrHlmFtWfQU4b3XgVeEUwFP2Tvff89ci5XWtwB5l4q8F7rvvL7nX50H52xgqY9ZZp0ciyI2m1E41ZYc6e7XLSotpHNLoxGhViR7xwgVKXFJe8qUWr7agfIanbRoy3j5XPHzxPRGDlnV9hKgiCwv2kckQKZlssAaPR6wnvMCLKibg2gthuQwqMIehMVHyl036amJgzZalSmPLZqpW8O+ykiCxacHZXoin27bDFxOFRgucWEUFR8P9mkx0oSnaux1Lftzn7yKhm3XvEwlVIMfwqCyEmbQk1WmUw8PjiIWipwpkvZFG3VFXiqnpDGBo2KsGqDp4+VugwNeQf1ZgVC0++2kt94ha7rEGKxb+0tnWgyVsz1conqrMkdIh1R07CnfHb7r9JqjHmZ6G5lgVGJAierldNyc1uRIWesYrOtBVECp115b222NtSVn6GXYxyoVN5Rxccfc69hH33sUF2peM6te2y06J+wZf6kVODSeaAXny3NAVVnqW9q8xZSPIjhnao6UF/ZCZJIdadyf1HUkPUpOWVthxQWqEOr5i/CAmkV6Iqq9b11lXTpdsipDNQWqznLbafxu/TY8lXodMq4/GTXWbKGfbSrA2iK/7/UZ2fx2ho5bSh7B31tG1QIW+y4BkpjK3nASUGQOGFXqOqCWoS0AouaTik0eovFQpWqGcQCu7qqirY9RJccVDhUOBqUMXLGZua0P89CvbFE8f+0uQK3GCdnKROWQo31yKKAK20r2TKGQ6hy60iZxVLfLIODJJ4+Jb+tzA+1VkVznwLzFYown6nKTn2nh5knD0r30tRWoLJ/CPM1NjZSUVHxQdKuAvM5CLwH8+0y6NhjNvzo41B/yAa1DjS893N90fZ7rxEEQQ1UAluyLGdkWd4CkGX5JTAPdBSvf0847vfe8+f2D7QfpgMks4W/z94D6P4Q3tOr9JyoL+cwRYeGUdfWoN+zB1BIFHMvA9S1W6moVKC8fC7H3PPHtB08jFqjLMiFaIbsUhRjb9lj2wn5qRCyjCbMFIq02BBLSCoB12pZuXxVUHI+0uFbJdudiib0+Qz93vKE2yXdJZKvYX7DXerbW0uA6i09yXlleEjpNLmVV6ir+ynsKNBGPJxBlTERF9fJZBTIIrCwTj6pxrRrtUQH37WUQCPDr95zOo0JHzLwJlamqvtNCdR5iaqVMnAQVHWhyq2zHnpY6ttdcwv7AtNo3xYx/0yMOp4xkzhCLKL0bSPpI2hOUbsolEonpCdfI2fjqKr2lvqW8IkIiOy8B1YEp3IgyFTUl22HVjNENAJXKuSSrSrrZ0sy8iZYVEaXCwRMaezbGdSbCgsymi8Q1XQgxB6ylVLYknPhDMsmF8emHyEXIaGKrSfoxTje7UOlvo2JCyBAzZxU+szM9GMQVIiVPSWbHDEjiVlCyeXyM0zLGF0p8iqFqi4XZA6uZ7jnVDNZ/MxkMoldijCdtbKdUGyJ7CpJg4hrLQhFNfO3mQpk0UAmUh5H3+NAFkSOTZVp2HX5H8jLGqZCe0q2t5YAxpQK3Ux5Qc7OP0Flb6MQK0LYOQmiJtK6IFth5R0lwtvENtSYmwLkcsrfalbiVGVlfmmHQvEdRX1LADwNG0v398uL6DMylllFVT2YzTGfNWJIvmB4qewxWQYHFZjvZvm52va7yCTyrL0tSxp1HDnO1toKoVXl/Sown5PMfIRCXHlvoiiWYL53c0EQVDidA4S2fvgQ5nNaeRNLsprO8mNtf8gG9RxoFwShWRAELfAL4MrvXHMF+C+L3/8x8L0sy7IgCM4iyQJBEFpQyBALsiz7gKggCIeLsaq/Ar79/+B5/rNo18Y2cJi0fNRcztvA+zXU7AF7KwB5SWFtnag/gVGjTJrCzg7xhw8V9l7xJLy9kSC8mSxBYwDLY6/IJBPlej1AclyB997BMgATExMIoshEwsTzJeX0FwjcQIsR69y44tUB14JR3MIWz9dukM6nyRckRubCHMsHyI4MKQthPIhm8xGr4ifMvVJOhFPbU/hyAdpCVqYfKwHi+N17yJk06roDSp9Q4mcASa3CBAMlf0ulUWGoXSEaVfKwUmMh4mY1vxSzpbo4b6cmkYx2bs5EyeQLSFKGYOQBzpQV0asMyc1MjvEkOPJTjCwrC8vr1Qi+DJzwe4m+g2emhxHlDHPpYyV45h01umFVy9JrpfxBdGgIQW9AMHaQ21Dov/MvA2gqZFYCMyQSCWRZZvbpE+zNRiLJ75CkPFK2gDATZqJezzdbymIZiUSIBDcJqZ1cH/MVbS/IyjHcW4WiUCqMhHYoIKJLPikxCq+N+RCBYwvPiD8sJoJ6f0tBZWZys4vtYt9Glm9Sg53kywXS8TiyLBO7NYK2dQ+ZhQxyQSabzuObiaGqSjI5pVCtw751tlf92NvzJcp8ZnEHbarAD9XqEu1/amoKkFnIVzHsVajUfv81QMDlC8OisvlcCUSoEPL4giOsRFeUZxjfpF1MYb87QiEeB6mAeuYqId1hZt4kkCWZncwOz7df0ZWoYbaY8JqZmyO3vICm6RCpYnrDytQ2hSxk9KES0WDm6UOQwdoSIRhUNpDUeJCCRuSGTeBpJFGaC2pTFc98OVa2kuRyUbbDD3GJrQjTI5BNciO4gwQcNGW4uXSzXM6kowNtczPR4fKmtctThVavKo1tUGA+QRB/B+ZzgMQHSbsej4d8Ps/MzEzJ5n4H823dKdkuF2OaP2Ztvn90gyrGlP45MAJMAX8ny7JXEIT/RRCEy8XL/i/ALgjCHAqU946KfgIYEwThDQp54p/JsvwO5/nvgX8LzKF4VmX/8+f2D7ZEJs/3bwMM9tSgfgfvhZdh/YWivVdsL/wv2E5vM9Bchvdit79T9MbeY+/NvQwgCNDS/x5779F99CYzjb1lEkVqLISmugLNuxwpSWJycpLW1jZUGi3XxjbI52Nsbd3B5TiLADD5DTOJNFOJNBedZpL5JPfX7/NofovtRJYLHhe5lRXSk5MwdQVBlpC6vmTtrVI6YXhpGLWg5mTtp8w+e0whnyc6PITKbsfQv7+UTzT3IoBzl5kKmwav14skFZh9+pDm/v2otRoCgRsUEjkycxF0PQ5kQeBaMILf7ycYDLK7q5tYJs/9mRBb2w8oFOK4nQMQnILAFNeKtOCLDhNPNp4QSUdK+Vun2+1ER4aRC8XNwFxLoeagApuieLF7HH04tXamH98v5b2YPjuJoNGRHAuSimVZm47Q0u9ARmZycpLA4jwRv4/2w0fI5bYJhx+Tnt5Gzkpoex1MJtLMJtKlvJvdXd38MB0gnlE2A1E04LCeAO83IClJ1XU6DV0VYmlxvDa2wUfNNhx6Uclnymfg7TXk3YPIgoa5lwH8CT+vA68503AaqZBn7vljUm/ekN/wYR4YQIrnyCzusDQeopCTaNnnYH19nXA4XMqfaj98hFDoe/L5BKmxIIJWhHYbVwJKXSev14vdbsdqd3Bt1Kfk1gVuYLN+hFY0g/drkgWJm1tRBh1mBCSGl4ZZ3U7yeiXCxR4XcjZL/LvvYOUJxDeRur8iHs6wuRjl+5XvyUt5zu06w8bMFNFQkOjwCAgCplOnSU1uIeck5l740RnV1LRb8Hq9Ss2oxw9w7GrCVlONP3AduSCTmgih76pC1Kj4NhAmHA6zvr5O/x5F2uja+Aah0G2FvbfrzyGXgNmbXA1EaDPq+CeNh1iPrzMeUkgVCsw3QPLZM/LFhGq1RkXzXicLr4OKZwdUWG3Ud/cw/fhBuUBhTQVqh6FURgRg165dmEym34H5Dv49mK/RoKPPZPhRs/n+oBiULMs3ZFnukGW5VZbl/7Vo+59lWb5S/D4ty/KfyLLcJsvyIVmWF4r238iy7ClSzPfJsnz1vXu+kGW5p3jPfy6/e+M/t/9kuz3lJ52TSoF5ACaLxfZ+h71nUBs4Xlf2gqI3bqBpaEBf1AiTZZnZF37qdtswWhS5mVw2w9yLp7R/dLRUdTa/kyG7HFVOa8W2srJCLBZjT18vpzrdDI1v4g/cRpKyuHf9mVI91vs1V4oqC/9dSy9V+iqGFhVas1mn5twXn4BaTWxoSPEAHR3UHT+mlE54FWBkcYQjtUfYe+Q06XiM5RdPid+5i/nsGYx7qsltJAhNbxNcidF+wI3H42Fubo6FN68VeaajJ7HbP8YfuEHKGwRJpu5ADd0Ver7xhxUPUBC4cOIglQYN18Y2CPivo1ZXYuv5H0AQYeI3fONX8rf+vPVj8nKe2yvfc2Pcx4kOJ7WDpykEQyQf34W52+D5krYDNQSWY4wvvuXt9lvONQ/Q8dFR5l89Y+f+PaSdHSovXUDfbiU1GmTupSLQu+eTFhwOB16vV0lsVanY++lfoVKZ8AeukRoNIpo0HO6vQUDxKLxeLzU1NVw82E4mL3Hbu04gMITD8Rmqnj+B2AaRpSfc3Y5x2WVloPEcrwKveLi4xEIwwYU9dVjOnlHyiaaGIL2Duv9Pqe2wMfcywM3lm8jI/NG+P6fS5ebto3vl/K0/u4SgFUmNBZl7EcBYqeXgCYXk8O4Zand309T+JZKUJhj8npQ3hL7LzvlaGyvpLE83QywtLeHxeLi0p44ni1usbL4ilVqiuvpzpdjm1FW+C2yTLEj8oq6Wfa59DC0OlfK3vjy3H3VtjeLJer8GtQHHZ1+hUovMvfAzsjRCnamOc8cVTcGZR/eIDg1h3L8f8/FO5EyB+OQWi6MhWvqd9Pb1sLW1xfyUl43pSTqPnsDlPk84/IjEzCpSIo+lz8lZh4VrwR3GJ5SN4OiBvextsHJ9zEcgMIReV4ul4y+hwklocohHkTgXnVZONZ5EI2o+gPnMAwMgSURvlsu8tx9wk03lWZkqx253HzlOeGON0MoSUE7azSzuUIh+CPPNzs7+Dsx3jlDoh7/H5nsVTbL2I4X5flaS+Im1a2M+3BYdB5veg/fGfw21+xR6NpCTctxevs2nDZ9iUCulsfNbWySePMFy/nwJ3gutxdkJpD6A9xZfvyCXTpWSA4GSpIrhvfiT1+tFrVbT0dHBxb4athJZZpa+RqerprJyn8LEW3/Jlc0AH1VWUG8wcLbxLPdWHjHs9XHWU02F007FkSMkbl9FXnoAni+x15uwVRv54c0jNhIbDDYP0rRnH1qDkbVf/i1yKoVlYLC0WU7fUqCetgMuPB4PhUKB5yPXivJMB3C5zpPJ+Ii9WkRl16OprVDyiXYSvBlX8rdslRYGPNXcebtKIHQbl/McoqUWmk+wOn2nlL/VXdVNg7mBvxt9im8nrbAYP/kEwWAgd+tfQyELPV/RVswl+9XLrxEQONN4ho7DH5PPZNj8m79BNJupOH4MQ5+TQiTDzMMNbNVGHPUmPB4Py0tLvH10j8bevVRUOnA6zxDy3SH1VsnfqjXo+KiygpvLa6yvr+PxeNi3y0ZNpZ5n09+Ry23jdl2EjgFQG7gxM0pOlrnsspXEgv/Pxy8RBRjsqcZy/jxSMknhzr8BQxW0fELbfhcRf5LrM0N02Dposbaw++gJVsbfEB1S8rc0div6LjvRsSAr3m3a9rmwO+zU1tYy9vQxodVldh/5uBikdxEZfYWUyGPsczDoqEQjCIy8eoMsy8UNqgZZhlczv0IQNDidZ5VxlN7hyvIcDo2aw5UmBpoHmIvM8ZtXi+xtsLLLXoHl3ADxhw+Qvd9Ax1m0lVZ2eaoYf7PAE98TzjWdo6qmDldzKysjQ2Tn5zGfH0TXWoloVLNwb41cpkD7fjddXV2IosizIaU45e6jJ3C7ziPLBSIvJhG0KvS7bXzhsrKVy/NsbIy6ujpsNhsX+2pYCPgJbd/H5RpEUKmh+wuGIhkklNIaFq2FY7XHGFkaQSqWZdd3dKBta/2AzVffZUNXoS6rewDtvwfmM+5xgqxAj+/au7nwDvIGhdkqSanfq813/UfqRf28Qf2EWjSd4+50kPO9NYhFFhOhWdgc+0C5/JnvGZFMhHNN50q22M2bUChgOV/W3pt7GUAQBVr632PvPbyHsdJKfXc5+J0aDaKpqUDjLMayCgUmJyfp6OhAp9PxWacLpzFNPvUEt/uiomTg+YIpYzMzaYnPi8rlA80DJKK7iKULpfwty+AgBvUiAjJ4vkQQBNoPunmSulfK31JrNLQdPIz89Bkqux3jgf2oK3VomywszkRwt1gwV+mpr6/HYjbj847RduAwGr0ep+MUmnwV+eU8xj5nkW5uxRmPEIuES9Tsi3tqaDZ7kQqJEjWbnj/iikaJ6V0u0svPNZ3jzaIarUrgVJcL0WjE/NlnaEKPkCt3Qd1+zFV63C1m7kV+YJ97H9UV1dR3e6gwW8g/f4H51ClErRaDx04K2FyNF+sBKXRzIRUnFgqWlMvd7ovofe2Ql5XF6F1/lhVhUI/HgygKXOyrQZf/HlE0Yrd/AjoTdJzl60wFTXote80Gmiub6bDu5ulsnqOtDuwmHcaDB1E7bahCT5XaXioNrf1OEvoI3p3xEgu08+gJbLEkhVCoxAI19jnYiOYo5KXSQae3t5fIwgwIAh2Hjym5OK5B5Bk9gl5Ev7sKq0bNCZuZ0Ny0QlF3uWhzmemsrkBIf4+96mM0Giu0niRhcHE7qeKiy4paVDZ8Oetk1p8pIQmW84MYbQmEZLCUqN5+0I1X86KUvwUK7V877gWVqJQeUYkYehwszu0oquW7rVRUVNDS0oLPO0p1awdWdzUmUzcGXQvSrAp9dxWCRsVnVRZqM0niwUBpHJ3vrWGfawyKybnvxtG1qmM0i9mSSPK55nMEkgHeBN6U5pllYFApiOlX4k4qlUhrv4vFsRC5rEKAMVoqaejpU+DidzCfuwJNtZHkWFmbr6GhAbPZ/PfYfDqtuxjfU1qLUYfHpOda4MdJN/95g/oJtVteP9mC9CF7b/zXgPCBesTI0ggmjelDeO/6DbRtreg6lBwpWZaZe+GnvtOGwaTAe9lUkoVXz+k4fBxRVOiz+a0U2dUYxr3lTWx5eZlEIlHKWdFrVPyibx5RKGB3XFQusjVxpfW/QJSlUlJiv6sfVeIjNJpsKX/LfOoklsY0ecEJri4AWvY7mLe/pk97oJS/1bF3P/ZwDPnAvpI8U67Jwk5WoqVdOQUKgsCuShNyLkvzAYWCrlabccd/gSCLGHoVr7PRoONIxI8kiHR1KZ95pMXOsfo3ZCQLNuth5Rm6LvGt6xT90jaNBoXpdWbXOXI7veyuz2Eu1t+ynPsYoz1OrvJASaBX25tgS+PjU/spAERRRa+7AVU2h+GUQv0W9WoCVmXBatunLO4ulwtLPgOCSGvxGapsx6j0H0cyJtHuUrI0LjqttAXWEJ0ubDblAHCpz0W/a5SkeBSVSrlvoPNPeGj28KUuWvKc+62XSKfNHO0oKoar1ThPNyMKeQqtyuZsMGsJdb4Fyvlbjl1NNGdlJJUKU1F9Xd9RxXpexqhXUV1Uhu/u7kYdDWOqqcdkU965q+o8Ff5+aEkqFG/goklNVTiEra2j1Ld/0reDWbOFxlwsC6PWcqvnvyUlaLhcpRyQHAYHbuk8IJfyt/Q9PVi7RSRJrXiOQFOfgwXna1zU0Fml5Ol1HD5OTSROvrUFdVEcVtNtZzMj0dhoRizGdVtqqiERw+3pK42t6tyfImb1aLuU96ZXiZyOK15LW3Ec1VoNnG4eI5JxYrEoLMKt6v08sO3j0s7z0nN+1vAZOpXuQzbf+fMgy0SHytJH7Qdc5DMFlsfLJIjdR44T2fQRWJwv2Qx7nGSXo+TD6eJ4E0uQd8hQQEAAACAASURBVDqdLj6DiMt9ntDWXfL5WOlvLzmtPI8m2PgRwnw/b1A/oXZtbIM6q4F9u5QFGVmGiV9D03GwKBM1V8hxe+V2aQIA5DY3Sb58SeWFC6UJ4l+KEg2lP5A2mn/5jHwuW0qqBEgWg6+lejcojCWNRkN7e3vJtsfxnM2EizebrmLXZK7Yj3M08hpnRNEGS+ck0tEOBNNrksUJopKjGJ0ZIvNqhWgALPCWpDZKYzGHBsDmC6KSZdbMhpJtLalcX/N++HI7gCyqSKh1JZPJt5+M0UdMp6hhS5JEvX+VlSoXPrk4BeQkfY4xnvn6SBWrZC/IRsbMHXy+cQMkBYoJbVchF8xgflG6f4V1C0GESBlNYcryHFESaXjvGdyhCFmVyIZYpmuvJfNUqsBY/FBJKiCGg+QqLKRzRXX0NBhDXey4HiHJxdo+O2EciShTjrrSSbrGME6FJsm9lTK9+oplH5Kg4ouN8qKXinQDBXKG8jOYXGFySZH4XLl20LT1Bc54A/rtYh5PPo9za4dNs4FESoljpNN5AjmJOpUAxVSDTHgLVTZNymAuM9V8u1AVDETcZbmeOv86AjBhL8dT++zPyBQ0PFztKtm+rvqY6kyQjwLlkhOJ8G5UhiW284oXKRSymKujRFd05OPKgrxTCLNunqVpcy9SUblcu+HDmM2zUlEeH754jgJQI5THUSGkpB+k9KaSrWJ9DwV1kkhlOTXC6VvBZ7HzsqiUn82GaKjw8mC9n/mgotI+shWjIKi4OPsfIKnEkyo0FZyoP8Gt5VsUJGUc61qa0Xs8RK9dL92/tsOGwaJVdCqLrf3QUUSVmqmHZWq9sciuTb3nRf1DMJ8sZwkGy7Gud9p8N0I/Pi/q5w3qJ9IiySz3Z0Nc6KspbTL4RmFr7gPl8ocbD4llYx/Ae9GhYZDlD5JzZ575UanFD9h7bx/dw2R3UNehLA6yLJN8E0DbZEFdPOkXCgWmpqZKFW0BMhk/QvY1b0IHuD6m0ITH4ynmZQOfB++UFM6/mwqQL4iozG/4fqWIg08ov4t4CySfKwvm8OIwWkGHdaaFnaCyYMZvDJGrtOBdmSeXSSPLMvNjIZxmDcyEkWWZXCbNxsQooqOaqbfKpCxEM8hrKhK1r/H7leyI1dVVpESCOWcd3waUPJNg8BYqIcuD9f3cnFSe4d3vLq9+A6tPFdsbHzqNxFLuOv6EsmiIb78lL1cSvjWKlEohyRLf+W7Rmu/B/yqFLMtIqRSF5y8IVzuYKiZb7gSThAIp6vWq0kFgbXKCXCJOvrKqRHVOebcQJJGo+2EpfjA+Pg6CwBOrm/G48o4CgesU5Ap+O1mLP6os0l9vJejOh9jt/Q9QyCFJMnemYthsAX5Yv6ZsIOkdVKHnxLfsCrsNWNxZZCEzS8f2AWaeKe8j8eQpYjKJz2oqxUDmXioCvXUipTLk04/vgyCwI2rY3FT+NjUaQjZk8Wt+TS6nLIQzk15ylTa+zUBOkpGkPMnoLVbie7kypsREwrk832f0fBF+jGr875T7b8bYjIhoreMMLRZZaXO3EckQXdIRG1Ge4dbyLWRBpmlzD6tFUdXo9RvIajVzuSTbG0pu3dyLAHqdCosvjpTMKejC00fo7C5mlpaRJAkpWyA/nSNdN8tm6Nvi+w6Q2NrCV1PPN8WxEggMIyDxbHMf375RFM6vBCI0aqA3NlUmNKEoY4RSIV76X5ZslosXSU9MkCmWbxdFgbZ9LpYmtsgWCxQazBaa9u5j+uFdpOLmprYb0NSbPkjarauro7KyUhkr7+5v2YNeX1+i/QO0GfV0Vej51v/ji0P9vEH9RNrwxCZ5Sf6QvTfxaxA10HW5ZLq2cA2rzsrRuqMlW/TGDfQeD9qmJgCkgkKpbeqzozMoTL10PM7Sm1fsPvJxSQIp50uQD6Qw7i1vYgsLC6RSqbKsDhQVp2WMlkFuejdJ5wr8ZjOMVhC4VJGH8V+BLHN1dAO3RccuV65UgoOxXyHXHqAgW9i5drWcv1XzCRpJx9xLP/lgkMSTJxhPnyaXSTP/4ilb60r+Vmufg0IkQ3YlxsKr5+QyaVoOHmZxcZF4PE7yTRBk0PYYCARHKBTSSs6KWo2zpbWUi7Pp/xa9ro403XzzWllYvglEOGzRUyvFYeI3pHMFRrybnOyqAjGnwDPxACzdR2odREqmiN+9WxLoPVN7lvBmkq31BLHvvkdKJjGcOcPK+CiJSLhUf6vFYyc1EUIuyEw9uIPWYMC928PYmOLxJceCqKp0SI4Efr+yqYyPj9PY3ExeZ+A3/jCFQoZg8BYW2ylykoZrYz6WUxleRpN8adMo2noLd3m+tM16JMW5XhvzO/PMhGfg7XWEQhap9Tzx+/cp7OxwfeE6oiBy0nWa2Rd+pIJEdGgI0WSCXk9JWXv2uZ+q2gpsZg3JN4EiNfs+9d29CFod4+PjSOk8qbfb6DwmZLIEgyNsbW2xtrZGq8fDdq7AvXCMSOQpudwWlqpBxtd3WAoluBqIkJNl/simhZkRSO9wbWwDUYCPO0wMLw0rRIPxXyEbHeTMXexcVWIsw4vDtFa2UiM2MPPcj5zPEx0exnj8GHm1iulH90gncixNhGjb60CQFLX+0Ooy2+urtB46QiwWY2VlhfTUNnK2gH5PJdHoa5LJ5ZKKf2dXNyOhKIlCgU3/VSoq2mmu7uObN+v401nuhWN8WeNCsLfD+G9K8+ZE/QkMagNDS2Xqt+X8IAgC0etlj7ftgItCTmJxtOwddR3/lHh4m7XJsjCscY+T3HqcXEg5sIiiSG9vL/Pz88TjijcnCIJS8Xj7IdlsmR34pdvG82iClR+ZNt/PG9RPpH39ep0WRwW9dcUKsJKkaO+1nQKjgqXHsjHurN5hoGkAjajER7LLy6THxz8gR6y+DZOK5eg4VF2yzT1/jFTIf1BaIzkaBFH4gL03NjaGXq+nra2tZPP7r2I2eTjdd5BYJs+tKT9fB8Kctluw9lyCyDI788+4Mx3kQm8tg83neOJ7ws7KIwh4Efb+AvOZM8RGbvJk5SHhTJiLu89T3VLJ7HO/4gFKEvV//deY7A6mHtxh5ukmoijQOdgEapHkmwBvH96lwlbF4bODyLLMxMQEydcBNA1mXB2nKBTiBIM/4PV6FfZhrZO3iTQT4VW2tx/irr7M5b31PJgL8Tiww3QizWW3HTrOweQ3fD/pI57J8xeHdtNj7+HawjXFO5QlNGf/BSqng+j169xYuIFOpeNPjl5GFAVmnm6yc/UK6poaWv/8L5FlienH95l97qemtRLnoWqkRJ7E2wAzTx7Sfugoe/r7CQQCbC6uk5mPYOxz4S7GD5aWpolEIvT39XHabuFrf5hA8DaFQpyOpj+mu8bCldGN0ub7eec+0Fth7Jd882Ydo1bFvzj+CWpBzfXF68ozWBsxXvinkMsRvXWb6wvXOVR9iAOHukjFcqyO+4nduoX51Cl2f/wZm/OzrE4t4ZvfoeOQG8MepQz5+oSXHf8mPZ+corW1VfkfTIQgL2M50InB0IRv85vSqf7yoQNY1Sq+9ofZ9F9FpTJxolc5cF0b2+C3/jDtRh09njNQyCB7r3B1dIOjrQ4+330Sf9LP6NpDmB5C8HxJ5cUvSL18yeLsC14FXnGh5QKt+xSiQfTREwqhEFVffElDVw9TD35g7mUAKS/TdbIBtcNA8k2A6Uf3EESRoxc+R61WK8/wJoDKosW19yQgsLn5LRMTEzQ2NvJFYx0pSeL2xgw7Oy9wuy/xRX8dq9sp/tXMBhLwVXWVgnQsP1SqDqBUnT656yQjSyNkCsrGoHG7MR46RPTatTJ021KJyab7AOZr3X8Ijd7A1IM7JZuxzwkCH+RE9fX1lebCu+Z2XUCW8wSDIyXbl0Ui09c/Mi/q5w3qJ9BWt5M8Xdzmq311ZXhv9QlE16GnDO/dXr5NppDhUuulki06pJzOLOffh/c20RnVNHrsJdvUgx+wumtwtxZJFJJM6k0QfYcNVYWy2aXTaaampujp6UFdzJFKJpeJRkdxuy9ytNWB26Lj305tEMjm+eNqG3ReBJWOm/cekC1IXN5by2DzIAW5wNqjfwmCCjxfYrl0CSkW49tn/zdmjZnjdcdpP+hmaz3B1tdX0HV1oW9vp+v4pyy+ecXbJz529dipcBgwdNrYebPG4usX7D58nOrqampqaph//pacL0FFvwub7TBarYPxiRGSySS9vb1cdllRCfB06Wv+H/beKzqOM8vz/EWk9zAJIJEwhAcIAoQnQVL0ohO9kaFslaqqe7razfbu7PY87Dzs2Tl7Zs/Z7a5tU9VdUsmLFEmJEo0kUqL3BgRAEARBA58JJDwykT4zYh8imSnV9pmpp1btdH3n8IC8DGREhrvfd+/v/i9IOHJ2sKshj7gk87c9blSCggVTuw/8E3xxrYssi47Wkky2lW7jwfQDQnfehdx6BMcirJu3MHfxAqcHTrEqfxX29HQKazJ5cukh/stXsG3bhr1wAVlFJXSfb2Pa7ae8JQd9ZQaCXsXDUxeJBANUPbNGofkEgZFzvSCBsT6LnJztyHKE27dPo1arqaqqYp8jnfFIjPsjR9DpHKSnt7Kj3knn8CyH3FM0W40Umi1Qs4fQ/a84cdfN5kUOnFY7y/OWc/XRMeS+81CzF/3ixWgKC7l58SAj8yNsLdnKgppMdEY1wwe/QvL5sG7bmsxRtn2prPDKm3OSbci7jn+FWqejfMkyamtr8Xq9zNwYRpWuQ7fASq5jNzMzN+jsvENxcTH2tDS2ZaVxemKS8YlTZGVtID8jnSVFGXzS7eb6nJ+9OekI+Y2QUULHrfMMTAXYUedkbcFa9Co9Qzf/EWIhqH0e23YF0jl64ZcAbCvZRkVzDrFwnNGPjiKaTJjXrKZ61TpmRt3cu9BPusNIVqEFY30Wob5ZHly6wILaetKysqmsrORRVy+h3hkM9VkYjHmkpS3h4aNzTE1NUVtbS2uaCYdWQ69bCf3lZG9lc40DvUbkqGeWWrOBCpM+8azKyUaGADtKduCL+Lg4ksrNWbdtJTIwQKhbKcIWRIGy5hyGuqcJ+hSQQaPTU75kGY9uXCWWkIxSJcjW74b5srOzcTgc3wvzmc0LMRpLvkfzFei1LLWZ+NQzw+9TSeofHNT/D8bn7UqsfGf9dwTfu46A2gCVKcdzou8EC6wLqLWnCnHnTpzA0NSEJjcBUYTj9HVMUtqYjUqjXH7vxDhD3V1Ur16XdICRQS/xufD36L2enh5isRh1dakkvGdcuclzcrahEgV21efRFotgVYmsz7SC3gqVmznWDwXpBurybVRmVLIwvZKcvovKCtBkx9S6lEhuJufm29lcvBmdSkdZUzaG0ASxnnvYtil0WfUzaxDEfIK+KFWtygrQUJfN0Hg38ViMqhWKeGldXR1pYyoQFDkYQVCRk72Nx49m0Gq1lJWVkaXVsDbDijj7FSbzQszmCipyLFTlWrkaDrIuw0qWVgNlG5jT5nBuMMr2xU5UosDmos1UROPoJ3qhbj8Atq3P0eWMMR2e4bliZcVaudSB9fE1iMex7VAmDgtXrGZ6TI8gQGljNoJGxLg4i0fd1zDa0iisWYzJZKKsrAxtXwSN04TGYcJqrUOrLeTRowkqKirQ6/Wsz7CSp/IheS/jyNmBIKjYXudEMql5HIqwKzEzpm4/5yJV+EJxdjUo99Fzxc9RPzGAIMehZi+CIGDbuYNvuY9O1PJs4bOoNCKlDVlw5RSqrCxMy5djtWfjrKzG/TiGo8SK1W5AW2BBSFfzuPsG5S3L0BqMVFZWYlIZYDiIsU5B/B2OXfh8dmZmvCxerAAku3PSKI+3EY95yclRHMzepjz6lRSnMrsXBKh9gU+HLejVAltqHRg1RlYXrCan7xJyWiEULEHjdGJoaebr0B1aHC3kmnPJLU/DbBaIXTuP5dlnEfV6ypeuQK3NZMoVoWKpQyl4rctiKuRmbtKTRPzr6+vJ9VtBkjHWKaFuR84OBgd1qFQKKScmShcy/WcwmmsxGosw69Qsq3UwoYadiVoj7GWKHFki7wqwNHcpWYYsjj1JqcdZN24EjQbviZQDqWp1IEkyD79TE7XwmTWEA37621Owi7Eui5gnQMQ9n7TV1tbicrmYmlJIQEEQyMnexszsDcLhlJTSnpx0HgZCdM+nQJkfevzBQf2eD1mWOdruYmlxBgUJzJZ4VEm2Vm5Ral2AMf8Yt8ZusbUkReqFurqIPH6CbWcqR9V/d4JYOE7FklRrjfsXz4IsU71yXdIW6BhH0IjoF6ZWWZ2dnWRkZJCfn588No/nODZbM3q9gr5vrncSy9ZTJavRJXJZruLnuRytYE9RJHlsP7Etwh4JMVaivAgEtZr2nVWEVRJbHQqabbRqqZCVWaR5s+KI7YVFGDNaEIQIRYnQo6EqnaFADxZTJo6yCkAhmEolB76MOKoERp+esYWJiQJKSkxoEiK4L6bPUyg/JGhNQSW1ddlENSJrTYnzrdFzKutNIrKKnYuUl02mIZM/lm3EASmhIK+vq+NqiwljTMXKfGWVUbQ4k9yJ20Syi9AlqMfy1pWodNVYMsNJBQ9xoQn3/BNKy5qTiH99QTUZMROhIuVYBUEA+TkiERVVVQlldJXIj4xtiEjYspXrnJdmILsqA2SZHQnEn/wWjqo2kaXys7xUuaZrC9ayZz7ImCULHEpO0bh9K1erBFojBUnEv6xCS/rkPaSW9UnEv6huPbKcRk6xkDy2yQwPkViIyiblu+t0OpZmLEJAQFer7NNgyGduthVRjCcR/9Y0MxvF8wTEDDLSldKILbW5SE4j2TGSiH+oeh/H4svZlONNIv57nato9vsYLEwh/iNbGxm1xNisU5T4RVGgyjqCKhJA/6xynXVGI/aiZwEobVSOTZNlZFB+gErUULFUyeGWlJRQgZOALorGqQgKZ2ZuZGK8mPx8Gb1egYd2p81RRB8jhtQzZCy2gCxj98aSNmr2gbsdJhWyVSWq2Fqylcsjl5kJKaCFymbDvGoV3i+/TJKtmXlm7AVmeq+PJT+qsKYOoy3t/xvmUwkE2lKOrDahHPM0pwkkJgLK8/t0bM9OQy3Ap56UQO0PPf7goH7PR8fwLH2TfvY0fmf19PBrCExB3UtJ05f9XyIjs614W9I2+9lnCHr99/JPD296MKfrcJYpL1pZlrl/6Sz51TXYshMq4nGJYNck+upMRF2iJfzsLAMDAyxevDjpZLy+u/j9j8h1pCSW+sQ4qEV8T1Kx7M9my5AR2SelYt6rpz0EBIFDgj9pO1fgJXdapuS2O3lsmcM3mLGV4ZlTXlKRUAxJKiAa6mFuQpG68c1O4QkMUqivQk4UNGrG45hlPV2RfqQEIj48pNTJ2LNS4Y7KyDkkBE5GlyVtk2lqiErM9HuTti/CjRQJYyyeTdCHUpyVM2NcMuhpm1fULAKxANdKYrR2RxE9ymw1PjyEZW6A4bSmJIXlnVAhiBZC3rZkOGXQfReJOAViRXKfjjkzEhL3Yyl1cI8nF5UqgtGYIr9qYmfop5iLAeX6xWUZX5YWcTKMe1zBwWeDUc6Fq9jBBdTzyvk1Tg9QHQ7xiUFNNKEYfkccxmsSWH4lFeox9lxGlCWG0lKdlePSAmRZYn7yVuraezrQq8zYwymQZ0EwkynBR/+c0v4tHo8zOmonI3OYcCRBWkanqJZuc15axZxy+RiJxZDMGoL9PsIxxXjGY8aLib2xFIG2ZNqNGvhYE03azjpn0Eah6Vqqdsg+cJmwxoJLLAaUeysaLUCKjjA5qNwP0XCIwel7FBgrERILENkbJTtmpUcaJhBQzmV/v4dYTEda+m1kWTk2q+8bZAQOBJuSn98Wi6Cdi3KxK+VUqH1ekdDq+Chp2l66nZgcSxGJgG3bVmLj4wRupc5vVWsuE0M+plzKwYkqFVXLV9F35yYhf8Jm1GCozlSAlViiI6/VSnFxMXfv3k1eU5OpFKu1DvfokaQtQ6NmbYaVz8dnkyrtP/T4g4P6PR9H213o1CJbar9D77V/CJZcKF2fNJ3oO0FdVh0FVqUzihQK4T35JZaNG1CZlZlwcD7CcPe0olqQUKJwP3zAzKibRatSnxXqmUYKxL4X3nsaw34algEYdR9GFPXJsAzAEc8MaQj0PZzh8bgPWZY50jHGMusUBX2fQNgHsQj63q/othfx+dBpYlKMEd8Id+Z7WDtsTdaBhLq6wD3IVMFSHlxTHvK+jgmkuEA80pOcOXZfOAPIFBtqk3UggfZxZA30RoYZGBgAoKOjA6tVBM4TCrmRZZnJ8WPMauv4dFqDLxbHF4tzfm4ep1/iZIeyzchMgKuuKDvMPQidHytftP8ihsA0p2wZCiyBUiAdEmKs65SY/VzBib0njoMoMprZSF+Hkht4cG0UtVbG67nF2BNFcfrB5QtYbdmYJ8zEpkPIcZnw3Wnm0qJ0PrxHLBYjFArR2ztIXl6Q8YnPkGWZef8jpMB97mnWcSQx870w7WNOltGPBTl0W1GUP9k1SlQW2a26BHcVXJuOj5BENUf0YjIHcrL/JBb01F4fJ9ihqBzMffEFMWcZT8ZMBOcjSJLM47YpjBYfj2+eIxaJEPDOMXC/nZLcekIJ2iwy6kc1GWPAOEV74rMeP35MOBzHkTPE2NhRAMbGvkAkznnWcDTxHT71zKACIsPznOlRwlCf3hnBoY+xYvY4TCjOTdV5kAlLNodm7jEZnCQSj3DKdYblvhziJ75BjsWITUwQuXGFuYqV9NxQrsHEkA//rIRKNcD9i0ojv8e3rhONhCi21BJ4qpCfAA4eCaPJZ6CzsxOjUYPF0sPMzHVkOc7o6BFCxhau+k30zAdp9wUYCEVYpjfwbc84c0+L66y5ULYBOg9AXJmwVKRXUJleyfEnqdWMec0aRLOZuaMpLL1iSQ6iKPDgO6uohc+sUbpf37iatBmbcpD8MUIPUpTe4sWLmZmZYWQk1Sc2N3cffv9DfL7UhG1vTjqj4SjXZlMhwh9y/MFB/R6PSEziWKebjYscWBMhDbyj8Oi0kvdQKaBC73Qvj2Yesb0kBUf4vj2D5PORtjulMPHolgdJkr9H792/cAa1TkdF64qkzX9rDNGqRV+h0IGyLNPZ2UlhYSEZier7eDzImOc42dlbUKstAIyHo1yY9vF8bgZqUeCzOy5u9k8zOBVgX0uRoup87zNlBRiaRVW/n4ngBNdHr3O8T3k4t5XtIHDzJlGXi9nDRxAMBtK2baWvY4JwIErv9TGsWQbyq7LpuXwOKR7n3vlvKaypw+Z04L/tQY7GCXZNYqjJQq3X0NnZydTUFENDQ9TXNyII4B49gtfbQTA4QF7uToKSzPGJWY6PzxKUZF7MzaBv0k/78CyHbysP9QvNBQqFNd0Hdz8BnQ3twh2cHjhNKBbi6KOjFNuKqStYytynnyHF48wdO46xtRV9noPe62OE/FH6OiapWOJArVPTdfY0c+MehnvusXDlGqW5Xvs44cczSL4IxqYcQqEQDx8+pLu7m2g0SmNjI8HgELNztxkb+xxBUJHn2MmFaR8TkSgHRqfJ0KjYnpPO8Q43wUico3dclGebWbTACZ0HIRZRvkPFJrTmXD599CnzkXnODp1lY/EmNFo9c59/Qai3l3BPD2m7dyFJMo9ueRjqnsI/G6Z6RR7hgJ/Ht67Re/UiUjxO9Zp1RMf8REb9BG6PgUrA0pTLo0eP8Pl83L17F6PRSHlFDR7PCeLxMO7RI1itdWRYKvhodIpoXOIzzwxrMiw4DBo+bRthwhfmwsMJdjXmoxJF6PgYRu+Cux2h8Q3icpyTfSe5NHIJb8TLjopdxKem8F+9ytyxYxCPk75vHxNDPiaGfTy84UFUC1S25tN35xZBn5d757/FmpVDQd1i/G1jSDGJwB0P2gVWLHnpdHR04Pf7efjwIYsXN6DRmBkd/Yzp6auEwm6qCvajEQQOjk3zmUcps/iLhU4iMYmvEsK2ADS8Cr5ReHImadpeup17U/fom1MKj0WDAeu2rXhPnSLuVVbyBouWwppMHt4YQ0o0MswpLSc9Ny8xSVOGvjwd0aLF/50w38KFC1Gr1d+DJRw52xFFHe7RFPq+0W7DpBL57PckzPcHB/V7PM71jjMbiLKn4Tvhvc4DIEvKTZ4Yx58cRy2ov1ecO3f0KBqnE2Oi66wsy3RfcpO9wII9X1lRRSNheq9donzJcrSGREfc2TChhzOYmnMQVIlVltvN5OTk9+CI8fGvicfncea+kLQdHZ9BAl4ryGJluZ3P210cbhvBrFOzZdUyyFoId96DtnfAmkfNkr/AqrXyxaMvOP7kOEscS6ja9ToA0wcO4D15EuuWLVSuLSUelbh30cVI7wyVSx0sWrWWOc8Y7adO4J3wULNuI6ZmB5FBL/PXR5HDccxNisL5/fv3aWtrQxAEmptXkZHxDG73IUZcH6NSGWkp3E2pQceh0WkOjU1TZtTx8/oCjFoVH18f5PDtYVaWZ5G/LBGeaXsX7h+DRbvYXL6L+eg8n/R+QsdEB3vK9pC+dx9Rl4uZjz4iOjKCbcd2Kpc6GOmd4d5FF/GYxKKVBVQuW8mDKxfpOK2sGBdv2YyuxEbgjgd/mwfRqGbBqiqsVittbW20tbWRnZ1NTc0eVCoTbvdhxsY+JyNjJTucpUjA+65Jvp6cY19OBvtbCvCFY3xwfYDbgzPsashDqH8JJnvh5j+BfwKx4TV2le/iivsKBx4cIBgLsq9awf69X33F7JFPQaMh99U9ZC+w0H3Jzf3LbgwWDc1bG7HYs7h3/lvuXzxL1oJi8tc1gCjgvz1GoH0cw6JM6pY2IMsyt2/fpre3l5qaGvKcu4lGZxhxfYDf/5Dc3H284sykez7EW65JRsNRXnVmsqshj/MPJ/joxiBxSWZfa4UiZdTxkXIfqXTYl/6cxfbFfP74c449OUamPpM1699EZbMxe/RzZj/9DENjIxU7fgXbUgAAIABJREFUmlGpRe5fdvPwtoeiWju169YgxWN0nv6SoXudLFq9HvNSJ5IvyvwlF7HxIKaWHOrq6hgbG+PatWtIkkR9fSM5OTsZn/gSl+sj1Oo0SnI3sdFu5cjoNF94Ztlgt7J8QQYldhOf3flOP9aKzWC0Q/sHSdNzxc8hCiInnqTAiLR9zyOHQsx9F5ZY5iDgjTDcozgQQRCoWbsB14NuplzKallQCRgbswn1ThNPUH96vZ7Kykq6urqIxZSVm1ptIStrEx7PMeIJzN2oEtlit3FiYpZQPKV48kONPzio3+Px2Z0R7GYtK8sTdUiyrIT3FqxINiYMx8N88eQL1hauJU2v5JWio6P4r17FtmtXsuh2rM/LtNvPopUpZ/fk9g3CAf/3wnuB22Mgg6k5tcrq7OxEpVJRXV2dtLlHD2MwLCAtrSVxaDIfuKdoshqpMOnZ05iPey7E8U43W2tzMeo00Pg6uNrgyVlofB2txsCW4i2cGT7DsG+YHaU70DidmFatZPbgJ0iBAGn79pFVaCEzz8S9Cy6QFTKufOlytAYDd748hs5koqylFWNjNogwf8WNKk2HriSNuro6otEo7e3tlJaWYrVacTpfIBwexeM5QU7OdjQaCy84Mrg+5+f6nJ8XHBlY9Bp21jv5otONey7ESy0FYHVC6Tpoe19ZDdbtZ4ljCU6Tk496PkItqNlWug3LhmcRLRZm3nsf0WTCumEDla0OhTC+6CIzz0RWoYXadZuIhoJ0nTlFcX0TVns2xqYcYlMhgt1TGOqyUOs0NDQ08OTJE9xuN42NjajVJrKzn2N8/ATh8Bi5jt1UmvQ0WY2845okKsvsz81gaXEGCzKNvHtlAJUoKHnM6l2g0sGtt8CUDWXPsrtsN5Is8VHPR1RlVLEocxG2XTuRvF7mPv8c8+pVqNPTqX7GybTbz8DdSapac1Fr1SxavZ7Bu+2MPXlE9ap1qEwaDNUZBG6NIQVimJodZGZmUlhYyK1bt4jFYtTX15OR8QwaTSYjIx8iilpysrexJycdgyjw1sgEOVo1z2ba2NeYT1yS+fjGEHX5NsqyLdD0I/BPKCvB6h1gzGBn2U4ezz7mwsgFtpZsRaM3Yt2xA9/p00T6+kjbuxe9SUNJvZ0H10YJeiMsXJZL1oJi7IVFdH6rqK0sWr0OfWUGokXL/DU3gk6FYXEWtbW1iKJIe3s7OTk5OBwO8pwvIUkRJqfO4nDsRBR1vOjIYCoWZyIaY19OOoIg8HxzATcHpnk8ntC/U2uV/HHvV+BXwqFZxiyWOZdxou9ESuF8UTW6hQuZPZzKExXV2NGZ1Dy4nlqR1ax5FlGlputMStfP1JQDkgI7PR0NDQ0Eg8FEg0hlOHP3EYt5mZxMdfN9wZGBNybx1e+B9NEfHNTv6fB4Q5zpGWd3Q16qMeHQNZh+Ag2vJbc7PXCa2fAsL1SmVjJzX3wBsoxtdwpe6L7kQqNXJVtBgBLeM2faKahJYOmSjP+2B115GuoMhU6KRCJ0dnaycOFCDAZFBy8QGGR29gbO3OeTwMSV2XkeB8K8kac4043VOejVIuGYxL5mhTij7iVlBYKQ/A47S3cSlaJoRA0bFmwAIP3FF5Hm51E7HBga6hEEgcpWB/MzYbIWWLBlGdDqDZS3rsQ74aF8yXI0Wh0qixZtcRrx2TCmJQ4EUaCgoACz2UwwGKS+vh6ALPt6RNGILEfIcyqI+D5HevK87Eug2S8vWUA0LmPSqnh2YYJ6rH8ZQjNKDrCwFZWoYnf5bkb9ozQ7mrEb7Ih6PZYNG4i6XFie24JoMmHLMmIvNOOfCVPVqshVOSuqMGdkEg74WfysQikaauygEiAuY2pU9tnYqNBogiAkc4C5uXuRpLDSmNCu0Giv5WYyGY1TZtSx0GxAEBSn5J4Lsawkk1ybAQxpUL4BZgagZg+oNORb8qnJrGEqNMXecgU3N7W2IqalKWHiXcp9VN6Sg6gSkGWofkahNp9ObgRBYOEzawAwLc1FjkiIRjW6BIzT0NBAIBDAbrfjdDoRRQ2OnG2EQsNkZKxGo7FiVatYl2nFFY6yLycdjShQnmOhPNvMuC/M3qbEfVS2XmkLEg1Ao9LIe3PxZlSCirgcZ0fpjsR99ALE4wgaDdbNSnRh4QonsYiE3qyhsCYTQRCoXrWO+elJckrLsWU7lBVInR3JG8GwKBNRq8JkMlFYWIjf709eA4tlITpdHrIcx5mrdBNYl2FFKwjoRIENmQpB+XxzPhqVwIfXh5L3GA2vgRRTnGxi7Crdxah/lMuuy8lzmvb8PsI9PcmaKJVGpKLFQX/HJOGAktcy2tIoW7KM7gtnkzVRmmwj2gKLEvJOOLeSkhLS09O5fTuFpaenL0Ovc+IeTaHvz6SbKTJoec+VUq74ocYfHNTv6fj4xhBxWeaVpQtSxvYPQWtRZo2Jcaj3EEXWIpY6UqG82aNHMba0oC1QgImQP8rjtnEqljjQ6pW8lXdinIHOdhatWpfEmsOPZ5WXe0tq9dTV1UU4HKalpSVpGx09Aog4clP5rfdcU6SrVexI1HzoNSrSjApCXZieEHjVWUClAVGVVL8oshYhIGDSmJK9q9QOZf+i0Zh0gEarQvGZElg2gDlN2ZdGnxKQFbXKLa2yKduLoog5AYmkpT1VPdeiSgjp6vQKfJKj1aATBHSCQLZWyfc5bIqT1qlFNIlwJ2lFyk9TdhJrdpiU49UnFMQBRJOCJKvtKRUOU+KYDInvIAgC2sSxWzOV7QStqJCTAqjsyucZjUZEUUQURXS6xGfolWur0diSyuXFxsT/ianH2mZQvkuGKXXesCbU8A0pp2zUKCHeLIMCxggqFSqb8oLVJVRDNDoVao0IAujNyuea0tIRRBG1TofRppxfVWbiemjEJIzz9Bo8neQA6A2FyvYqU+ocJSZjGVp10pZuVPZVZE9sJ6oggcBjUa6fWWNGq9KiElQU2YqU3efmgiiCVouQ2K8pLXHdDepky5oMZ37i+6UEZAWt6ns/gaT2pNGonCvlxa9QfPG4QqO6whEiskxEkplJhNLsZh1banL59M4IgUgCOc+ugvwWJcyXcCDrC9djN9g5+CDltGzbtiHodMweOZy0VS1zEI9J9N5IwRKL128iNO/j0c3vwxIxT4DoU+pPFGlqamJwcJDxcWVlJQgijtw9TE9fJhRSVmWiIPCa0871OT8P/D9sTdTv5KAEQdgsCEKvIAiPBUH463/h/3WCIHyS+P8bgiAUJewbBEFoEwShK/Fz3Xd+53ziMzsSf7J/+3P/rY5oXOLAzSFWV2SlHsqQV+kWWrMHtIqtd7qXjokOnq9IrWQCN24SHRzCtifV/r33xhjxqMSilak2HR2nT4JAcuYOCTjCpMZQrdSFyLLMzZs3ycnJobCwMGGLMzr2GZmZq9DrlBezJxzlq8lZXszNQJ94wTyZmGcsIVh64NZw4kC+VNqKSzHoUeLqx/qOISMzG57l7qRSpzH3+ecgikT6+oiMKLH7R7c8qNQCY/1zyRbY/R1taHQ6+tpuIicEPcP9c6AWCN5TZn9+v5/JyUkEQeDOnTsAeL3tRKNKDH9sVKnq/3pyjrAsE5Zlvk6ENj69o8AR04Eo7cMJbP7Oe8oLcuIB+BWM+czgGXQqHbc9twnGgsiSxPyF8wgGA/6LiqhqPCoxPuBFVAvJBnRz4x6mR10gCMkkd2TIhxSIgQyBO8pLpKenB0mSvqdM7XZ/AkA4PIbfryTWP/XMoBbg/nwQT1iZXZ+8O4peI3Kjb4q4JCsvw/5LSpH3gxMgy/giPu5O3EUrahXpIyAyMkJ0SJnxz36qJNHdD2eJhOIgkxSQ7blyHlmSiIZCjNxXEvDBduW4pbkI0THlxd3R0YFKpWJ0dDTZ5XVq8iyiqGV6+gqSFCUmyVyc9mEURb6eUMCAuWCULrcXtShw9GkeZ/IxzA0BQjKPc9l1mWAsSFyO882gEq7yfn0KJAnZ78d/RVFCv3/ZjSDA3EQQ75Ty8n3avXj08UNC/nlkWSZ4bwpBpyLUO40syYTDYQYGBtBoFOgGwOfrIhweQxB0uFwHAPjQPYUIyMChsRRo8GrrAnyhGMc73UkbDa8q95FLKRnQqDTsq9jHZddlhn3KM6OyWrFu3oT3+AmkBOaevcBKTrGVrvMu5ISCfOGixaTl5HL321SYz7jYDmoR/82UI2toaEAURdraUmUKzty9gJykKgFedGSgFQQ+cKVQ/R9i/DcdlCAIKuAfgC1ANbBfEITq39rsJ8CMLMtlwN8A/yVhnwS2y7JcC7wBfPBbv/dKoh18vSzL4/xhAHCqe4xxX5jXl31n9XTvSCKk8XrSdKj3EDqVjp1lO5O26fffR5WejnWL0hPnu3BEVoFC20XDIbrOnKK8ZRlWuzJjjs9HCN6fwtiQk+zXMzw8jMfjoaWlJekAp6YuEA6PfQ+O+Hh0ipgMrztTq4V3rvSjVYksK8nk4xtDROMS3FbgCNIWwJ33kGSJj3s+ptZei1lj5qOej5DCYbxfHMO8ehWIIrOfHmFuIsBg9xSljdmE5mM8uu3B0/eY8f4nlC9dwdz4GINdHQTvTiCH4hgW2ZUE8VyYtrY2YrFYMkEcDAZxuQ6iUpmwWutxjx5ClmXeGpmgUK8lX6fhrZEJZFnmk1vDNBamYdSqOHBjCIIzivBt5VaIh6HtHTx+D5dcl1hXuI756Dxf93+N/8pVokPDWDZuJNTdTbC7m4e3PAR9UUobsxnsnmJuIkjX2dMICBQ3NHP/koJrz191I+hVaPLN+K+6kSWZtrY20tPTsVgstLW1IUlRXO6DpKcvQxC0DI+8hz8W56hH0T+MJ67JgzEvtwZm2FKTi8cX5tyDceg7BxM9Sv+wsS4YvsmXfV8SiodYv2A954bPMRWcYuajj0EUMa1axeyhw0jBIN2X3eiMarIKzHRfciNJEh2nTmIvWIDObKHty2NKmLjNg7bICmqB+eujzM/P09PTQ1VVFbFYjK6uLubne5meuUJ29nNEoxNMTH7Dt1NexiIxtmfbuOVVZu+Hbw8TjMTZUuPgxF03475QYpKgVvKBHR9BLMLBBwexG+wssCzgw/sfKpGEQ4fQFhUhZmQwc+AgsUicB9cUiSwE6Lkyyvz0FL1XL1G+dAXxSITu82eUvkrjAYx1WcRnwoSfzNLZ2UkkEqG+vp6BgQE8Hg9u9yFEUY/DocAS/vAMH49Os9FuZXmamd+MTBBLOJCWonQqcszfD/Mt2gMaowJ7JMa+8n2Igsih3kNJW9rzzyP5/UmleYDFa/OZ9QSS7eAFUaR2/SZGeu4lYQnRqMHUkE2gfZy4X5mwmEwmqqur6ejoIJIIBxoMhaSlLcXlPogkJVZ9WjXbstM47JnGnygW/iHG77KCWgI8lmW5T5blCHAQ2Plb2+wE3kv8/QiwXhAEQZbldlmWn04ZugGDIAg6/jD+q+P9a4MUZBhYXZFYVEoSXPtHRSYlTykE9Ef9nOg7waaiTdh0SigmMjjI/LlzpL30ImKiwn3syRwzo34WrUrBET2XzxPyz9OwJYWlB9o8St7jOwj6zZs30el036t9Ghp6G53Ogd2uLIbjssyH7ilWpZspSYSYZgMRPm1zsbPeyU9XFjPuC3Pp5i3l5dj4BjS9AQOXuNxziCHfEK9Vv8bu8t18M/ANruNHiM/NkfH665hXrmTuyKd0nRtBFASW7S4lw2mi48wwt09+jkZvYNUrb2Kw2uj85ivmb4yhzjZi3bgAZJi7PMzNmzcpLS1l9erVCVjiCp7xk+TkbCc/72UCgX6uuW9yfc7Pm3l2fpKfxfU5Pwe63fRP+nll6QJ21js5ftdN6NYHyiRh1X9QXo43f81H9z9ARubP6/+cElsJhx8eZuaTg6gyMsj+D/8TotHI1Lvv0XlmmAyniWW7ShEEgbvnh7h3/huKG5po2rKT0LyPxxeuEuyaxNTswLIyj9hUCNftPgYHB2lsbKSpqYknT54wMHCUSGScwoKf4MjZzujop3zocuGLS/x5YQ4r08186J7io+tDaNUif72lilybnrcv9yv3kSkbNv1n0NmQb/wThx8eZmHGQv6o9o+ISTFO3DvC7JEjWDdtxP6znxKfm2P86En62ieoWOKgZnU+024/987fZmKwn4bN26nf8BxP2m4weeUR8ekQ5hV5GBdnEbgzzp1bbUiSxJo1a8jNzeX69esMDb+LKOooL/uP6PX5jIx8wAfuKXK0av5jiRONIPDByCTvXxukpSidv9pYSTQu88m1xwrJWrEZWv8E/BMMd37AZddl9lXs47Xq1+ie6qbz3CGCnZ2kv/IK6fv2MX/+PL1nHhIOxGh4tpCiWjv3Lrq489UJJCnOMy++Rm5FFR2nTzB/YxRBp8K6uQjRqGb+xig3b97E6XSydu1a1Go1N26cT5RZbKYg/3UkKcLBJ+eZisZ43WnnjwuycIWjnJxUVt6CIPBq6wK6XHPcHUmsxvVWJS9797Ciig/kmHJYV7iOo4+PEoopEQhDUxPaoiJmP/kk+RyWNmZjtGq5ezZV15SCJVKOzLzCiRyVvreKamlpIRwOf6/bbmHBjwiFXExMpvpEveHMxBuTkqLDP8T4XRxUHjD8nX+PJGz/4jayLMeAOSDzt7bZC9yRZfm7eu7vJMJ7/6uQVEH9/hAE4Y8EQbgtCMLtiYmJf2mT/67GgzEvN/uneXXpAlRP27o/OgVTj2D5XyTzHif7ThKIBXix8sXk705/8CGo1aTv35+0dV9yK3BEU6qRYPtXx8kqKiGvSumIK8ck5q+40ZXY0GQr8XWfz8f9+/epr69Pxt693i5mZq9TUPBjxIRa+pkpL65wNAlHABy4OUwwGufHK4pZU5lNfrqBuctvKYBEw6tKglil4+OOX5JtyObZBc+yv3I/cSnG6K9/hba4GOPSpaS9+ALhqVl6Lg1TXJ+FOV1P3boCJodG6b16kcXrN2JKS6Nm7QamuvqJDvswL3WgyTRgqLFz91YH8/PztLa2kpubS35+Pn19B5CkEHnOl8jOfg6NJoNfDTzBIIrsz81gf24GBlHkF+efkGHS8lxtLi8vWUA4GiNy/ddQsBRyF0Prz/H7PRzpPciGBRsosBbwQuULuPru4jt7jrS9e9DY7aQ9v4+hq4+Ycs1Tt74AS4aekno7985dwj8zTe36zRTWLCbdmc/ktw9BljEvy8VQY0e0arl64TIqlYr6+noaGhoQBIG+/t+g1xeQmbmKgoIfE5XC/GrIzRKbiSabiTecdlz+MIfvjLC1Npccq54fryhivP8uPP4GWn6q5ADrX+bek6/onellX8U+ytLLaHG00HfoHSSfj/RXX8PQ3IyuqorOEw8VPH6Vk7LmbDR6FbeOHUNnNLHwmTXUb3wOUVQxe6YfVaYew6JMTK25xCMxbt+8RXFxMVlZWSxfvpy5uRFGR4/icOxGq7WTn/cyj2b7OTvt5eXcTBw6DTuy0zhw183QdIAfLS+m2G5ibWUWs9c/VAi+lp8qkwRbAZ/c+w2iILKvfB/bS7dj1Vpx/fqXiDYbaXt2k/bCCyDL3D39hHSHEWdFGg0bCgj6AnSc/pLSpqWkOXJp2LiVwPgMgbsTGBuyURk1GFscPL7/kMnJSZYuXYrRaGTx4sVMTn5GPD5PQcGPsVgWYrXWc2BCokCvZU2GhQ2ZVooMWn49nHpn7W7Iw6hV8eH1lDIIrX8K8Qjc/HXStL9qP3PhuaSyhCAIpL/8MsHOTgJ32gFQqUVqVucx1D3FrEcJ/RltaZS1tNJ94QzRSEId3WFCV57G/DU3cgIbLywsJCsr63uwhN2+HoNhAUNDv0nalthMVJr0vP8Dhvn+VSAJQRAWoYT9/vg75lcSob+ViT+v/Uu/K8vyP8uy3CzLcnNWVta/tMl/V+ODa4Po1KJSFPp0XP07sBUoiDCKk/mk9xMWZixMCsPGvV5mP/sM23Nb0GQrzsg3HeLRLQ9Vy3KTcMRwdxeTw4M0bt6eylt1jBP3RrCsSe3zzp07SJL0PThiaPhtVCozec6UU3zXNYlDq2FjgliKxiXeuzrA8tJMqp1WVKLAm82ZrJs/ga9oE9jywJxNX+1OrkSneaH4OTSihgJrAa/O12IZnMT25hsIooh51SomK58lEhWoWa3kzyqW5IDUiSxB4xZlIb94/WZKzfVIooSxSSHfTM846ZIGyTCmUVqqIPktLU2kpd9Gq63Caq1FpTJgzn2Tc+EydmcK2DRq0jRqNuoMeEZ8vLC0EINWRW2+jTdy+rEGhog3/UT54qXr+cxRjC8e5o1qJey6vXQ7m+6KIEvKSxFIf+11hp1r0IpRKlqUY6tZlUdw9gYGSyYlDc0IokjL1j04pEIkpwp1pgFBJSI02HgwP8DiqhosFgs2m43qahuC8AhHzosIggqLZSE9plcZjen543wFPNlkt5E+ESYUifNqq5I7fGlJIX+kPU1U0EDzm8p3aPkp71iNWARNUtz2zUU/5pmrc4TK8pIEpfXlVxk01FBQoCLTaUarV1Nab2Z29C7lrWvQ6PWYMzJpaNqCIWTEsCQLQRTQFlgYs/vxBudpbm4GlHbwC4oGgSiFBT8GwOl8ga+EXYhIvOJU5rV/WphNdMCH2aRh4yLlvP1oWSEvxz5n1lYNJWtAVBFsfJ2j8RnWZzeRY8rBqDHymm0jRe0e1HueQzSZ0ObnEV+1g+mgkUUrFGHY3LI0TJZ+oiE/jVsU6Ki89Rmqs1YgxMHcqsAXlhVO7qtHMKj1LFq0KHEfNeLI7UYQqrFaFA3DqP3H3JNK2WubRRQEREHgp/lZ3PYGuDOn5OGeli4c63QzlyDwsJdB5XMK9h9RHE1zTjNlaWUceHAgSeCl7duLymZj6q23ks/eopV5iCqBu+dTq6j6TVsJzfvoPvdt0mZekYfkjRDsUvKySj1gMy6XC7fbnbCpKCj4MV5vO3Nzd5Lbve7MpMMXoNMX4IcYv4uDcgHfeVuSn7D9i9sIgqAGbMBU4t/5wFHgdVmWnzz9BVmWXYmfPuBjlFDiv+nhDUU52u5iR52T9KfUlatNUS9o/ZOkcsQV9xUezjzkpaqXkk5m9sinyIEAGW+8kfy89m+UeHfDhsKU7etj6C1WKlcoIq2yJOO7MIImV5lpgaKXdvv2bUpLS7EnKLRQyM34+JfkOV9MKkd0zwc5O+3jNWcmmsRq78uuUca8IX7yTHFyny8J32ATAryv3pu0HUjLQCPL7JtOzTA3XwkybYZrtQnVDJUKd+kmTH43aTOPlGOLhYgFOxG15UiyQnJZ9OkUW2oZ8vcQQ3nwx+QZpkQfiyL5CLJybHZ7HwbDPOOexuQ+L4hbiApa1kupBHHsiRdZJSAuSLX7/rnxLBOylZMx5TaNIfGBxUBjKERtQKGkTBEVz90R6CgVmclQrl9Ak85kZg15IxcQIsHEdxhGjo+ity5N1qkVWWvQq0w8mLqe3GeXPIiMzGK5KGkrKRkiHlfhdqc05Y7LW8mRR6mXFIJLkGV0g34kiwZdolzAKvnYo7rIZ7FncMWU79WnFvnWZGS/P4w5QQLWD4rkT8GxhhgyysvRldZIVGNmgftc8jhU6h5AQlSnwr/lpgbC8SBPZu4kbZ2aQYyyjiKV4mQEIUZubi/T005mZxWyblY2c45nWcklHOrEzN8fQzUVJpxv4qnU6sr4DUrFUX4tbU9GEr7KysOrUvHSTErWZ+P1EHEVnGxM6ckNFm1CFQuRO5U6tmjgDoIqi1gsQY1KAmWWBkYCjwiISs3SXMzPkDhJZSQXIaSsQGSuo9MFefKklHgiP/NFuBY1MRrn/ynpVPY7MrCqRf5pJHWPv76siFBU4r1rA0kby/9MaSiZkNESBIGXKl+iZ7onCQ6JRiPpr7zC/NmzhB8rQrNGq5by5hweXB0lElTOUv7CGpwVC7l1/FPiCYpQX5GOOsuA77IreWx1dXXodDouXbqUPAxn7l7Uatv3VlHPO5SIwndXgv+a43dxULeAckEQigVB0AIvAcd+a5tjKBAEwD7grCzLsiAIacBJ4K9lWb7ydGNBENSCINgTf9cA24B7/Bsf718dIBCJ88byopTx6t+DzpaEI2RZ5pedvyTXlJuUNpJjMaY//ABjSwv6RDFtwBvh/mU3Fa0OLImX1Ny4hye3b7J4/SY02oRCdM80sYkgltX5SWd39+5dfD4fS5ak5gzDw+8CAgUFP0ra/mZgDItK5Cf59uSx/eZyfyIck8ifRYMY237FQ3ML/0+PGY83hC/i4wvXObaoM8m88zGEvAS77qFpf8C1VXY+fPwJsiwz3DPNzLyGwtk2pv/5nwDoOnOKeCyMxtCcjL/7Lo4gCiL3Ji/ReVrpRHr9+nX0Wj2l83alW60sMTzyayCPri4Rj8dDTJL5YMxPk24Cw9RHhEJuXLNBLnR7cJSmcXBqlqgkg6eb7NFznNJv4e8uDiFJMt8MfsNo1MePghJc+wcAZg8eQOeP8NkKFe92v6ucy7PDiKKAc+AMs4eVWpObnx9Ga7QS8Jcx0qOIsgZueIgaYnT1nMXT95hQKERb5x1KbQVo7wWRQjHCYQ9e39eEQou5fr2LaDTKjTk/94Jqdmqu4B55B1mWOXF3lNm5MOpyK387mJC7aXsHjRTmXWkz71xW2om/fe9t9KKGVyfciuwRMPPhR8RtJr4omuTC8AXicYnO86Nk6ufRnjtMZMRFJBTk/oWvsGRV0tcRJeCNEJ0MIg+GGdeO0PbNcaR4nIGBAVwzYzRoSvGfHUmo358E5pgYX8y1a9cA+PXwBFHUbJWPMDzyPgDvXh1AoxLwOfV8MjYNsox49Rf4DPn8aqKG9qEZYlKMd3oPUqGx0dx7DiZ6ic3MEDl+iv6lBRyY+Bp/1M/0qJ+BIZmiSDfet3+FHIsxeLcd35Qbc2YrHd8qGQz/jTFUcRW93pvcOqbQnbdu3UIURRZGncxfUbQZh4beQq23/bshAAAgAElEQVQuwjVio7e3F3cowoHRWbZbvajmLzMzq0wyTGoVr+RmcmJilpGQAiQszLXy7MIc3r7cjy+UWEUVLlNyy9f+ARIt3LeXbseitfB219vJ5y39tVcR9Hqm3k45kNq1+UTDcXquKYi4IAgs3f0C3gmlgSco/aTMK5xER+aJDCmOV6/Xs2TJEnp6epLIuUplJC9vP+MTpwgGlXNiVat4PS+To+Mz9Af+9bvt/jcdVCKn9GfAKaAHOCTLcrcgCP+bIAhPC3LeBjIFQXgM/BXwFEX/M6AM+E+/hZPrgFOCINwFOlBWYKkg7L/B4Q1F+eeLfTy7MIeap11zZwaVthpNbyg1RMD10evcnbjLT2t/ikalrDR8354h5h4l440U4dd5Zph4TKJxY2r1dPOLwwiiSN0GJZwjyzK+C0ozOUNtguaLx7lw4QK5ublUVCjK2tGoF5f7INnZzyXbavTMBzkxMcdP87NI0ygruztDM3SOzPHjFUXJGhPufAD+CWwb/yMxSeaX55/wUc9HBGNBXmn6SwjPQds7TL31FqLFQtFrP+P+1H2uuK5w83g/5gwdNTtq8F+9xnx7O3e+Ok5+dQ1Vy+vouTZKcNzP/I0xjI052KtLuHX8M8bHxnjw4AHNS5rR2834Lo0wMfENfv8jysv+Ap1Oz/nz5znkmcYdjvInRUqdz9DQ27x1SUG2/4c1ZbjDUQ57puH8/wE6Kxnr/5JH4/Ocvj/Gu93vUmQtYvWi1+DBSSRXD1O/eQfTihVUrdzB4YeHcU+N0XN9jIolDtIXVzD9wfu4H3Qz1NXB0p17sWSYuHG8j1DvDFHXPOnrStAZTdz84ghtbW2Ew2FWrluNHIkzf8XNwOCvkOU4C6v+Cr/fT3t7O78aHidDo+K1BVV4vZ1Mz7bxd2cfUZlj4WdNhZyYmKNnzqvkOErWUF6zlIO3humdGuRk30n2Vr5Iek4tXPgvhLrvMX/uHFkvv0p2Wj6/ufcbHt8exzcdomlXFahUTL31azpOnSTonWP1q68Si0l0nh1m/rILRAH75ip8kxM8unmNCxcuYDabaVnbSmTIR+jxDMPD72I0llFWtoPu7m4GJ6Z4xzXJtqw0FtsXMjT0FsNTkxxuG2F3Qx4NmRZ+OTROvP8SuNrQrPpLTHod/3DuMV/1f8WAd4A/af4fETQGuPw3zH7yCXIwSMm/+/fMR+c5+ugobV8NoNaqaNrfRHR4mLkTJ2j78guMtjRatm9g9PEco49m8F1yoStLI++ZWrrOnmZ0cIDbt2+zaNEiMqvzmL82yuTYWfz+R5SV/Zy0tHQuXbrE3w95kJD5X6pa0GqzGBz4ZfKZezM/C1mG34ykil7/Yn0Zc8Eo719L5KIEAZb/uaLx2KvknYwaI29Uv8G54XN0Tyowgzo9nbS9e5k7cYLomAI95BRZcZTY6PhmiFhUcW7FDc1kLSjmxueHkRIOz9iYg2BQK9cpMZYtW4ZGo+HixVSzxPz81xAEkeGR95K2Py3IRiMI/GIwpe33rzV+pxyULMtfyrJcIctyqSzL/zlh+0+yLB9L/D0ky/LzsiyXybK8RJblvoT9f5dl2fQdlLxeluVxWZb9siw3ybK8WJblRbIs/6X8VLf+3+j4zeV+vKEY//7Z8pTx+i8VsGDpvwMUh/Krzl+RbcxmV1kiHxWPM/mP/4hmQSHmtWsBCAeidF0Yoawxm3SHUjM1M+bm3rlvWPzspiRaHhn0EhnyYVmZn9Td6+joYHZ2lrVr1yZXVG73QeJxP4WFP0ke2i8GPZhUIj8rSOUF//bbR9gMGvY2Jir+YxG48gsoaCWndh3PN+Xz8a0e3rn3LusK1lG9cA8UryJy6pf4Tp8mff9+di7eT545jw9PfY6n30vzliIy97+EaLPR8fe/wDc1QfO2PdStLyAWjjNw8CHEJaxrC1i2dz9B7xzHjxxCpVKxZMkSzM/kERnx0f/w7zEYCsnP30VraytdD3r5Px+7aLAY2ZpbRE7ONnoHjnPw5hA76p28WJxFvcXIic4L0HMcWn/OxqaFFGYY+b8ufcX9qfu8Vv0a4tI/ApWGmf/7fyY+PY39T3/Ozxb/jKgU5dDhM8TCceqeLSDjzTeJuUe5+utfojeZqd+0hebnivD0e5n84gmqdB22ZQXUbdjCw5vXuHrlyv/L3nuFN3Vu+7vvVLckW7Ik23LvBTew6dX0BEJoIY000kglyVopKz2EJCu9N0IavYdAgNB7CcaAbVywsY17L7IlF3Wdi8l2zr44z/mfvc9ea19kXM5Hlqb8TH3fN8b4/d5BbGws0cMSUKUa6Tp3mcbGTYSG3kJCwlgiIyPZfeESBzqs3BdmIjZsATKZno2ndlLV3sdT0xJ5JCoYtVTCpRMrRTjp2Cd5eGIcvQ43y098hSAILElbAlNege5a2t9+EUlAAKYl93Nv6r0UtBVw9vdyAkM1JExKJPDWRbTv2EHezm3EZo0geUwW8VnBlB9voO9CC+qsYOLHi4KD4zu3U1NTw/jx49GNjkAaoKAxdwe23hKioh5g9OgxCILA+/ml2Dxeno4OJi72adxuK+/vOYjP52PZ1ESejA6m1u6k4/jHoAlCNeIeHsmJ5/CVZj678DUphhSmJs6D4Uvw5m+la+1aNBMnkjFqNlnBWWzL20VFXisZOeGYbpyCMiWFilUrqSm4SNYNc0ibFIXCT0bdriq8NrEPO2r+bQgC/LZ1M263m5ycHPxzIvDZ3VSXfYtSaSbUPJfJkydT2WlhXWMnt5kNxGj8iYp6kC7LGXqsolcqUqXg5mA9a5o6aHeKGVNmhJ4pyUH8cOoafY7rBcyUm0EfBWe/GPw93TXkLnRKHV8XfD14zXD//eD10rX6zw1k9NxYei0OSk7+Rz9JzKIsTQ1UnhezVIlCinZ0KAPFHTibxZ6YWq1m1KhRFBcX09EhbqAqpZmQ4Dk0NW3F5RL9gMFKOfeEGdnW2kXtwL82i/qLJPG/ILr7nfx4qpob08x/Zk89DaI/IuNWUVgA5LXkcantEg+mP4hCKvY4enbvxnH1KsFPPz04TK7oeAMuu4fsG//0UZ3dugGJVMaYhX/OkLIdb0CikaEeIfYH3G43J0+eJDw8nMTrw/Xcbhu1dd8TGDhusCF8tc/OrrZuHgg3YbiePZ2u6OBURQdPTklAo7xOASjaCtYGmPQcCAJPTElAajhOv7ufZVnLxNeMf4bOi/0IMgmGe+9BLpXzaOZjhJSmI9P5SBkXilSrQb94McUdTQQGhRCXNYKgSH+Sh5pQN9pQpBmRmfwIT0klOG0o9e2djBg+nICAANTZwQyEl9HrLCU66hEkEhljxoyhIiqRFreXl+NE7FB01FKO1I5gwOXl0RxRCv5yXCj3VvyAQxEAYx9HJpXwaE4cDfyKvzxQROoEhOEd+gCdR8pRZ2egzs4mOiCaOeb5cNlIVJYeU4Q/2sk5DCTGU9tQQ9YNc1D4qUkZF0q8QYlgsRMwPQpBJiF79jzcehN9/f1MmCAO79PNjKYzYhd4fcREP4EgCEycOJGjxggU+HggwoRMpiEq+jE2FUYTZ5QwK92MQS7jkWA/ZhR9y0D4aEiYTkaEjlEJUoqth5kdczMhmhBInEk/GfTmV2G8fwlSnY4FiQsY0jeS/lYPWTOiECQCxkcfpdakx97fx7hb7wJg+KxoYvDhc/vwnxiORCJl/G130+aRoJTLGT58OIJMgnaSmeaANahk0YSaF6LT6UjKyOR3lOQE+JHur8bfPw2Xaj6/l2m5Y4SZSIOaG006ZrrrCKk7jm/UIyD34/7xMQSGFNFmb+SxoY8hESQwbhmWCg2eLgvGB8WD1FNZTxFdORyf1Muw6VEIgoDxsUcpFlyoVH5kz56LQiUjfVIY+rZ+hBA1yngdAaYgEnNm0GzrJzU5GZPJhDIqAHdKKzZfPpHhS5BI5GRmZlKelIHb5+PJCPGgFh52JzKZjpqabwZ/Z8/HmrF7vXxa82cGsmxaIpZ+F+v+Q9EnlcHYZVCfCxWiwEGr0LIkbQmnGk9R2C5ueIqIcAJmzaJ761Y83aL8OyLFQERKIBf31wzOHEscPY7A0DByf9022HfynxSOoJRh3V89eB9jx45FJpP9p15UdPRSPJ5+amr//A5PRIUgEwS+rP3X2lX/2qD+F8QPp6qxOdw8M+P/lj0dWSG6/qe8PHhp5eWVBPkFcUuSKDbwOhy0f/EFqvR0/G8UjblOu5vCIw1EpxsHjbnttdWUnT1J9qyb0ehFvI3jWg/2si6048ORXMe55Ofn09PT85+yp5qab3G5ukiIf2HwPj6vbUUlkfBIpNhn8np9vLvvCuF6P+75D3Ox1wOnPwVzJiSIrDilqheF4SweaxYqxFKhQ4ihu1qDLtGDLECUuGf0jSG4L4r8yIP4hOvDBiND6FMpSPfKB4UFGUEqJECF80/qsjMkErweAq97SAS5hO6MA8jsgei7RGGIV64gPyaZcEs7cQMisWDAF8PBuplkBZcSHSieEicNVHBj5xlWRt5Bn0wUFgQGlSNT16Dpn43yOi6puz0Oj12KKf3P4YujG25C4pNQkXRduCCRUJeZgtTjJbZP7EdIEBiilmL1+Gi7friQqzV4w6KR2vvQq8RDiFvXTU/ESXSNk1C4xH5fT3AYVcERjGyrxygT/7akeyZNfWHMiT+IIIiL0pON2wl2dfFN8pODwoK4+Iv48CD0iBm3D2gvDkSq8mAQzyAoJSpymm7FpuiiN1osC3k0amrMBoJ7+tC7xfcP9JMRp5LS6AX019FMETF4tAEoLW2DC4w1+g+c2iZC6m8ftCi0pGVhlysY0VA5+H/bVTUXmeBmbqK4YEqB9+p+wCrV8HusyLuTy3yog4/iGQhHZhdv2O3xo+OKHk2YE02qWNZOkKSS1DGCKyFncSpEFVqHUU+X1o+k7v7BPmxqqBqNROCq/c/nyB4YBAIoOv4cntmWsBGp0x9dnfgcdbg8FBjDSWqto6eiDACZTEtkxH10dBymt1ekfiSoVdwVamRtU8dgHyc7KpCJiSa+P3ntT/zR8CVgiIODrwzOilqcsphAZSDfFPy5WRgffhjvwAAdK7/783mbF8eAzcXlo9dNuhIpI+ctoq2miuoCUU4uUcsJmBKJvdyC/fpAUa1Wy4gRI7h8+TJdXV3XryUTGnoL9fVrB3tRZqWcu0KNbG7ppP56P+1fEX9tUP/m6Opz8vOZam7KDCXFHCBebLwoNq3HPiGm/YjZU15LHg+kPzC4MFrWb8Dd1Ezwc88NLtoX99Vi73MxYnbM4Gec3rIOpZ+akXMXAaJyr3t3FVKdEu0EMTtzuVycPHmSyMjIQVn2wEA9dfU/YzYvICBAlLNX9tv5tdXC/eEmTNd5absvN1HSZOXZmUmo5NfZZXk/Qmcl5LwwuDB+V/gdguDF3TmDr49Vik3z995H4udHUFILnPkMn9dH3p5a5HofZ7X72V21G3tvL7l7d2IOCER79AQDBQV4ep24L7fTa/Cj8EI7lpY+ampqqG9uIUjqo/D3nbgcdto7DmLzFmDqWIB1fyM+t5dVDe1YkTCxqYrjx48D8NGBcpweOYuSdnGt6mPxOxx/F7cqkC/MC/i+oR2nx8mXBZ9hVERRUZnKgZJWvHY7nWs2ok4KReM8DTVnsLT00XChj77ERjY3raVzoJOmq2VUVZaRoNRgW/U9np4e+vNbkfa6qFVIOb+3Gp/Px5kzZ3B4vGgs7ZxYK0qKa2q/BomAofpmrEfr8fl8LK9qwiCB5PJCLly4gMfr46tjNUQF+sjQ7aa1dQ/0tqPJ/YrSyBl87Imist9OnbWOQw07CJOOY+s5O/Vd/fSdOUt/cSWm8SYkeV+Cy07p6SboVFKWdJIPLr2Px+vh0u+7cHrcJNsctH/+OQA9+6qRyCQU21xc2FeDz+fjxMmTqBQKvA3V5B/Yg8czQHXtF2iENJRFQ3Bc66HT6ea7ViupPid9+Xk0NjZS2mRlX0kv84Y00Nf5o4ijunqAsPoTbEh6mNcb+uj3eNlVuQuruw3twE18dPCqOHjy62/wuryEZPXCkTev/xZqkEqlXAg9xKqiVXi9Hk5tWkOAv46w8mtY9+3H6/TQf6wet7+C0lobNUWddHZ2Ulx6hXCdP1VnjmNpbqStbS82ZyFm6730HenEY3PyTX0bbuCGAQvHjx8fHGMRGXkfMpk/VyveHsxenosxo5BIeLf6Twr5M9MT6exz/umLkilgxgoRf5QvikXUcjUPpD/A2aazXGoVFYiq5CT0i26ha/16HNfEnqk5VkfsUBP5B+uwX6dGpE6cgi44hJPrfx5U9GnHhSHVKenZVz14b+PHj0cikfynXlRc3N8QBAlVVR8NXnsyKhgJAl/+C3tR0uXLl//LPuy/G6tWrVq+dOnSf/dt/P8anxwqJ7emi68XZ2PUKsWsafsDIrPu1tUgU+Lyunjq6FPIJXLemvAWcokcT08PDc/8DfXoUQQ99hgAlpY+Dq8uJXm0mcwpojOg6eoVTm1Yzdhb7iRmaBYAfedb6M9rJfCWRBRhYmZw/vx5SktLmT9//uBQwrLy1xgYqCEzYyUymT8+n49HS2vpcrlZmRaNRirF4fbwyLqLhAeqeWteuph59bbBlrshehxMex0EgXprPa+ffZ1FSYtI9Z/M5rx6ZvdW4fjpe4KefRZttB/kr6dSmE3xGQtT7kilhIucajxFVKGbhtJi5r20HPex4/Tl5YEiG1dLP8F3p1Ka14q1Y4CCmpMIgsC8m26m8OBevD4HFveXqPzCSYlbQd8frVhVUp7s6WSq0Z+79CouXLiAU2vm/SM1PDghlpnJHhoaNxBiN6A4+SWSyS9yyTSCX9ssqKwHOFx7gI9y3uVKvYpDpa3MyvuNgdOnCPvoU+Rtx6HxAsdKR9Hb7eCGpWlsq9pCR387ti1nESQS5jz1Aj0bNuJ1eXFcC0Rm8sNvcgTFJ5uQ67wcOb2P1NRUhqYNoeDgXowxGpq6viA8fDFG6TT6zrdwJFbFD20W3kmKwNDVTmFhIWWeYH4tbOHtBVkYpOfo7DxBZFklQsMFpHesY43FR4mtn0uVH9I20MZX079ke14bLT12hv70IYJcTuhbryNc/AG71MS+3+QExwQwbG4Ym8o3YfT5U7l+N3HZI8kcMYbuTZtRJo2h77yVgGlR9PsrKDnVBIZucvP+YOq0acjsfZSfOYkxrY1Oy1HSMz7DVyrDca2bdw1e8m39rBuaQG3RZZqbm9l8TUpnr4OvFmfT3rIW3A4MB78CTRDeeV+zqqkLn9fO9sLlxOnieGDIE6zPrSPDa0H+8Tvob70V/bRRkPc9LfKJnNrbw9CpkRBrZUfFDtJajFSePMmMx55GWV5J75EjSIMn4Ki0ErQklerKHuqvdFHXdxmLxcLiu++m5OhBervbGFCtRuUXQerQf9J3toVqu4OX3DbmBQfyYFwEeXl5aDQaIiIikEpVSKUaGhvXodEkoNUmoZFJcXi9rG7sZJoxgFClnDC9H/l13ezMb2JhdgRalQxMSVB9Ekp2wvD7QaYk2ZDMjoodlFvKmRc/D0EQ8Bs6lO4tW3BUVhJw8xwEQcAQpqHwWAMCEDnEgEQiRRdiJn/fbhRqNeHJQxCkAhK1jL5zzchD1MhDNCiVShwOB3l5ecTFxaHT6ZDJtHi9DhobN2A0TkalNOMvk9LscLGtpYv7w02D3M3/Srz55pvNy5cvX/X/9rq/Mqh/YxQ39vDTmRpuHR5BYohYjuPKb+JYjSmviCgUYG3JWiq7K3l59MuDxO+OVavwWq0EP/ssIJYgTm6+ikwhZexCUZXm83o5sf5n1Dr9INbI2+/CeqAGRawOvwyxXGSxWDh69CgJCQnExor+mp6eS7S17SU66mFU14nfv7RaOGXp5eX4MIKuE783nKujwTLAi7NS/lTuHXpdRALN/mgwe/r00qfIJDIeyXyEJ6Ym4C/10freeyji4jDcdRfMfAu7V8vp7dWYIrUkjQzhqeyn6G1rp2D/HtInz8A8JI2Ql17E3eZlIL8d/0kR+MfpyJoZRVnZFRobG5kyZQoxmUNJy5lGY/MP2B1NJCe9iV9KMMqkQD6pbaXX4+UfsaGMGjUKf/8Alv9WgkGtYNm0RGJjl6GQ6pHsfQGfLgJGPsyLsaH0OnpYdXkV48PHMylyIivmpSOru0b3zz+jW7AA9dgJMOVlmqt7qS7sIHtmFEPCE7k//X6uHjtGW00Vk+99mIBhw9AtXEDvH814uh3oboghcXQopkgthw6KmJkZM2aQdeMcAsPCqaxegUTiR0z04wRMjcIpF3j7WjNpWhW3hxqZPXs23Q74+FAFExNNzMkMIyH+BQRLDVxYDcPvwxCaysvxYeQ2neB042meGPYEGeZIlk6Mw7Z3L/aSEkzLliFJmgYJ08nbU4Oj38WE2xK5MfYGhocMJ3f9BtxOB+NvvwfDPfcgNZro2VeLVKdAOzGcsQsTkCh8HDx4gJCQEEaPHs3EO+/D5emhtu47TKZpGILGoJ+bwKUBOxtbung4IohMg46pU6eSW23haFkbj+TEEx40RBxfkfudqGy78V1GGwOZH6xnTdG3tPS18MzwZ1iYHUF8kIbOjz9GUKkIWrYMJj2HJyCaY9vq0OoVjJwTy+PDHkfulfDHto2YE5JIGjuR0OVv4O0X6DvbjHp4CH5xesbfkkB7VwslJcWMHj2a4PAIRty8gO7+37A7mkhKfBVFiD+acaG84e1FjsAr8aHEx8cTExPDyZMn6b8OdI0IX4y/No2Kindwu0Wf3OORwRjlMt6qahrMXlbMS8Pl8fLm7uvYIUEQMVT9HXD6EwD8ZH48PuxxLrZe5NdK0a8nMxoxPfE4fadO0Xu9CmAM15I0KoTLRxuwdoieu/jho4nLHskf2zZi6xSFEOqsYORmNdYDNYN0iZycHAICAtizZ8+gtys6ailyuZHKincH7/fvMWYOj0xGJ/+TNv8/GX9tUP+mcHm8PL/9MgaNgldmX2fvuh1w6A1x8uz1eUn1tnpWFq5kauRUpkaJ/Dv71atY1q1HN3cuquRkACovttFQZmHMvDjU18c5XNr3G03lpUy66/7BsQ7WI3V4B9zob45DEATRN7NnD4IgMGfOnMFrVyv+iUIRRFTUwwB0udy8XtlIdoCa+667/Vt67Hx+pILxCUYm/cdQxdqzIitt/FOiSx7YX7OfQ7WHWJq5lCB1EMH+Kj6WXMHY3UbJggcQ5HLQRXBG+U8GnEqmTrMjkUoYGzqWG+uScAkeImdNBEA7bSZ+Yx7C29+OeqioUEyZEEyfrholWtLTxFLkyEVTCcroZKA5Cl2AaMwtn2xmc7iUO51yhmj9UCqVaFJzaHKqmBvjI0AlRybzZ1h3En69fVjG3wlKLUO0fgz37Mfp6WNG0uPi+0frWV6xm16Zkv4HxGue9Ds42f8kamkPQ8eLYpe7o29neIWBrhCIHinSFALvehRl0hxwi7JmiUQgabqGflkb4f4p6HQ6pDI5w2+PQWXqRt53I0plENIABTtyTDTJ4EWJBqkgYDKZqAwYhtvr47GR4oA8Q+AE0mvleCU+7GNFasStQX4YejbgU0RyY7zYy3koTccTRTupC4kj4OY5IAh0jXyfot7ppAYXExShFZV+yjlENMpxjY7AGBGJRKMh8L6XEJTBSDUNSBRS1AEK1KkduLx2shInIJVKCY6JI3WeFB8OjOrFAChSDXyQrSXI4eXp6+M5ElMzOOeNRy91cu9oMfNPMD9ATF0/lmAD3rgc8TvoO5Fb9xNsupGR5pHIpBLejrKTWVdE0eQFyIxGUGgoMH1Al93MpKxrKFQyzBozt1vGIu11E3zjWARBQDV0KNoZz+Bz2VHGiIt5WEoAA0GVSL1KRmaPAWDY7MmEZHfS22BCoxJNyQeHBnDeKOOpJi9mhRxBELjhhhsYGBhg377/wBNJSU5+E4ezleqaL8VnVybl2ZgQznb3svM63y7aqOGpaYnsK27hcOn10ll4NmTeIXITLWL5b1HSIoaHDOejvI9o6xeFCoa77kIRF0fre+/hvQ5+HTMvHolU4MiaK4Ok86n3PyIeVteJnipBIhBwYyzuTju2k6KXUKlUMnv2bNra2gb9aTKZlri4Z+juyRtk9JmVcuLVf46V+Z+Ovzaof1N8d6KKK81W3pqXju76vBuOvgWWarjhbZDK8Pl8vHPuHSSChJdGvwSA1+mk6fkXkGi1BD//HCAKI85sq8AUqR2EwnY21nN601riho8idZK4sbla+uj9ownNKPNgaa+goICqqiqmT58+OC+pvmE1Vms+8XHPIZOJm8BbVU1Y3R4+So5EIgh4vT6e3VaA0+39s7TnccPe50Qs00Qxs+sY6OCdc++QYcrg/nQRbeNqbSV89yauxg/j5QYtTd0D1JV2UlYdRJbhKEGXXgS3k6vnTqOp7qMiyclbRR/g9rqxHa9HkOmwX95E++efAnDoyAG8Egd+nfFc+L1WNFM2foxEqqLqkJLLRw7Q5/bwbGsbEV4Jj57qwnGtB5vdxc/5FiI1Xrh2jpaWFmgpQlt4gI7wEEpd+3C7bVxouUBd6x7kuul80Cijz+2he+s2zPVXWZs1nzdPig7983vr6LCHkxOwEvlRUdxyfstGFF4px5Mb+aHoB3weH9ajHQhygd5Dn2A7cAC3280fF0/gp9DQd0VHfWkXdnsTFsdm3D2hXNxSia2rg7K+Ab6S2smx+kjb24DH5uRwaSsX27yM1nZSeOYIHo8HIe8HAtraqIrTcaXuQ3w+Lz8V/4jH1YEt8D7erW7D5/PR89abqH1uVqQvYvW5enxeH6f22VAoYLTvAyjchL2vl7Itv+E1+bFZJxJMPD0OXK2B+NyddP34No5r1TQ2NlLVWEqgNJqyw1acdjdtbQeQ6q/QdSWMo99tx+1ysaaxgysKH3+vdOHaLfZB3tt/FatHzlhpFX+cFm/4RPYAACAASURBVM2l8mMfIfVJuBLto67ue5weJ19deBuN0kSpaiGnumx4ensJWvUJvYFBvCJN40JNFz3tA+TlqYgzVhFb9TJYm2m4UozvXA1NsfBB6yqsTisDRR34vAZcdYdp/eeb+Nxujh07hsPbi39PErm/1uL1erlW8wFSmYS6U3pOblxDh9PNm7UtZEvkzCu00X99tEhoaCg5OTkUFRVRWioOF9TpsggLvY36+tX09l4FROL/8AA1/7haP2jefXhiHEkhWl7fVfyn7Hza6+JYl11PgNeDRJDw5rg3cXqdvH1O7G0JcjkhL72Iq7aOrp9XA+BvUDH+1kSaKroHEUi6YDOj5t9K+R+nqC0qAECVHIhfpgnroTqcDaJ5NyUlhZSUFI4fP47FIo4KCQu9Da0mmbKy13A4//UDDP/qQf0boqLVxtObC7gx3czT/+F7qjgEvz8nctLGiCfyfdX7+KnkJ54d8SzjwsYB0PbRx/QePkz4Jx/jd50NdnpbBY3l3cx6NAN/gwqvx8POD1bgtA9wy8srUPj54XV46PipCBAw3p2KRCHFZrOxadMmwsLCmD17NoIgYLUWUVzyNCbTVLFUJAictfTyWmUjj0cFc4tZ7E/9eLqaDbl1rJiXzqSk616o05+IY0HmfwvmdHw+Hy+eepFr3ddYOX0lRj8jPpeL+kcfw93eTuRXX7GuxEJFkxVOtKPRKZh5exCSvJX0dHSyY/NhgmPiGL5kMRvKN2Lo1RJ6RIZ6WDCK0AEsGzZQGxrKqaIicnJyCPGPoeh4A9qIM7Rb1pGU+ArdNTKunDrGjoRsztgGWJ0Zi7msh/7CNl6pa6O42ca3dw+n+doVaquryC77AMHrwX3bj9S3bKbFepVXCrZiUBl4c8KH/NTUg7O9ndjXXsIvKwvX0qdY80ctIQ6o3l9P6vhQsrMGIHclNVYtJ3YfYtS8RTgSdWy7uo0bm8ZCkY3AW5NxlJ+j55cdnDcYqKipYeHCBXTXwrWCNoSgj7A7GkhPW0nx0VPUVFxlRUA0bh+sS4vFl9uCtbWPJy5UE6pXseKmJC7knSfA0UTY6RchfioDOU/Q0LiW2gE7719ez5y4OYyKXsRPjR1MPXMc39o1hLzwPAURaazPrSWhy0ddXhsTbk0m3JcLhZs5UgJNFRXMe+FVDnSd4HT9aabmpuG1ODEuGYJ1zw56L15gn8MBgsAtC26l5HgzDkcrHY7n0GgSiItczqV9u2nywAqvhlE6DS8aDPT/0Uyux8m7Z66xdFIcE8Ok5ObmkuIsRHvhS4SJz9IdHk5j42b2dFg50nCK9ye+T4HDxK7WLm746hNchYVEfPMNu9sEDpW2YC7to9/qZM5jaSgKv8fRWskvO/Lw8w/ghmeeY2PFZro620k/HozMqCJgupnu9etpkck5WF7GyJEjSU3I5PKxBqS6Q3TZVhMX+zQKbwYFB/awMTqDKy4fG4Yn4F9ro/9iG37pRqQaOZGRkVRUVFBUVMTQoUNRKBTodNk0Nm3Gas3HbF6AVCJlfKCW1Y2d5Fv7WWQORC6VMCQ0gB/P1OBwe8lJChLL+/5myP0WJHKIGY9eqUcukbOpbBNxujgSAhNQREfjKL+KZcsWNGPHIg8Vy8VttTaunG4iYXgwKq2c0IRkys+epLrgAqmTpiFTKFDF6+nPb8Ne1oV6RAiCVEJkZCQXLlygra3t+ph7KXr9CBoa19FrKyUkZO6gwve/E/+nPai/Nqh/cbg8Xpauu0if081PS0aKniFrM6xfAIFxcNtakMqps9bxzPFnSNAn8MbYN5AIEvr++IOW5W+iv/MOjEuWAHDlbDO5v11j6PRIUseL0u3zu7ZTevIoNzz2DGGJKfh8PizbruKs7sF4bxoKswafz8evv/5Ke3s7d999NxqNBrfbRn7BvUgkSrKG/YRU6ke708XdRdfQy2R8lxaDXCJwpdnKso35TB0SzMuzU8QHtvIw7HpSnHEz6XkQBHZf281PxT/xt+F/Y0qUKGlu++hjbPv2Efbuu4RMGodaIaXhaBOGXi+zH81Al5KJp6+bHTvPY/epWPT6u6RHZtHQWUf28XD0Uh1BS9LRjMqm9dRpfne7MJvNLLjlFiJTDNSW5+LRvY1OP4KUlOWEJQ1hR1Epm8OHsDTcyL1RwSiixcVgY0cPL96YwvzhUej1ehTnvyauNw8WfIsy9gYEQcE/L2+lwe5k5YzvGGWKpdfuIGH5q5g72oj6biVD06K5UNGJ8mwn+kAVcx7PRBo3np7iY/yyvwp9aASznnyeEWEjySs8w7T8TFTpRgJviEMzdiyFJ0+RK5MxetQoxo0fR1CkluqqrciNu0hMeInwqNnogkL40OqlJNDMj+kxDA0JAKnAK+euUehw8t09wxmWGElXWzNpBW/gJ5ciuXcn/sYxNHUX8nrRPjRKA59O+ZyJRiMnSiuZ9s4b+A0bSvjyN5iUFMzZPxoJLLYRmxXE+FsSEKLGUHN4EyeK+hl580Kyp80m1ZiK62Q7GY0x6BcmoMkMRx4WyvHCy9T6+TFv3jwSU2Nx2J30uF9Hrm4nK2sN5phMLNYe3lCH4vTTsi4znpDYQNqvdPB4cR2hBjVf3ZVNYkI87SUnyL76Mb6IkUjmf4veMIbz1Zv4prqIWbGzeGTow4zRa2nYuo1Rv2zB+NRTBC2YR2pYAAWH6zG1uBi3MIGo7DiQ+3Hot2M0dktY8I83SIrLROIVSDtiwjSgI+i+dNRZQ7CVlrCnrxc/vZ7bFy8mItlIa0MBbt3bBPiPJi3tHSKGZLDjWh07QpN4MtzIgjAjykQ9/XktOK5aUGeHIJVLiYqKIjc3l87OTtLS0pDJ1KhUYdTX/4zb3YPJOBm9XEawQsYPDR1opFJG6TSE6f1otTpYf66WzAg9sSYNmDOgqwrOr4LYSaCPJMOUwenG0+yr2cfN8TejlqvRjB+H9fffse7bh27ePKR+foQnBVJyuonmqm5SxoYilckIjo7j4u+76GyoI3nsBCQKGfIwLb2nG/EOuPFLMaBSqZDJZOTl5aFSqYiMjEShMCGX6alvWI1M5o9Ol/3/tLz9H8dfIon/heHz+Xjl1yLy67p5c24aQf5K0S+042FwDcCtP4Pcjx5HD08ceQIBgQ8nfYhUIsXT3U3Tiy+hiI0l5AXRk9RaY+XExnLCkwMZt0CUhjeWlXJ220aSxkwgZZzo1+g718xAYTsBM6NRJYhlvGPHjlFWVsa0adMwmUz4fD7Kyl9nYKCB9LTPkcsDsXu83F9UTafTzaq0GNRSCXaXh2c2FxDgJ+e9hRni5tRZJSoPQ9Jg3lcgCFR1V/Fe7ntkB2dz95C7AbAePEjXzz8TuPhOdDfPAWCkR06WU0a+yk2TXGzYnu5MpMUewExzOTqhB5/Xx7K6O4mxh/FNzHb6FHZQqbhww0x8gsCo4ycQHA6QdBM25mvcDn+6i58EJNgNwRyZtRiDpY0xp/bg8/m47HbxLXYmIuNOyXUvjKSaqZylmCTKJGJf71S/mhK7jLl6B2HSfnw+Hw9t/pnh5cWsvGcpXWHhSCUCd8q0aL2wU+nA5vbgcrnZVRMHwLzEJuQKBYHoeLvjaWySPj42icMae5RK8kYMx9jewdBiEUXpF1RF2MgN9Lcl0VMtlmYrkoZRmDaKUfkniawSX7faZecQbh6RqRjqp0QQBObrSgilnZ3eaXQ5ZXh8Hn5q82D1CjwcLEUn1+DndvPJhu8QvB7evmspDh8o3D5m9cqxSLwc1ogS5U67ij0t6RgU/YwNEUtFwwZSuLvjJo4GnGe3RgTHVprNlA9JIaGqitjrk3KjRp5BYy6lJf9W+jrEZ+u3UTfQbgxl/olfMXudeIEPtR66fD5e9apQuH3IvXYWeXfjRMEOYQ5eQUKP28uPXRq0Ui8L9R58Ph8JLY08vWU1F1LS+XGGKP4x9/mYYldwVe6hKUhs4Jf5hlLaE8IYYy1hgujnWVQ3jYz+RL4K20yHTvTA5efk0KvVMvLUaSQWC15vL8bML/G6tFQfuxePC8pcXn4dNwdzWyMJO1fj9XiQ6VUYbk/G1dpP907RNhEcHMzUqVMpKysjLy9PvLeQm4mKfJCGhnU0NYk8xjvMBm4K0vHetWaKrpPCX5szhBRzAMs25VPeYhMFEzd9Ig74/OUh6O9CJpGxYvwK+l39PHX0KQbcA0h1OsI//wxPVxdNzz2Pz+NBo1cy6Y4kWq5ZOf+bKEWPSE1n8r0PUXXhHOd2iOxFVbwe7cRwcY0oE31Qo0ePJiUlhYMHD3L1qliaDA9fTJBpBpVVH2K1Fv1/Wfb+W/FXBvUvjC+OVPLj6WqemprA/eOv076Pvg2XN8PNn0H8VFxeF08fe5oySxlfT/uaIcYhePv6qH/kUZy1tUR+9x2K8DD6rU52fZqPQiVj7jPDUKhktNdWs/2d1/A3mpj33CvIlUqc9TY6N5ahSjagn5eAIAhcvHiRQ4cOkZWVxfTp0xEEgcbGDdTWfUdc7DOEhs7H5/Pxt7J6DnfZ+DY1hhyDPy6Plyc25JNX08XXd2WTGqYDRy+snQ/OXrjvN9AG09TbxAMHHkAqkfL19K/RKXU4a2qof+RRlMnJhH/6CYJUSs3lDo6sLiVsSCAHNC62Xmgg3VVL3uafGZoziZGyc1BxEGt7Dvb8LnpypHxo/5ZLLZcQrgiUV1QyIy0N7dZtOBtquGbeht1Rg7/7A4qP+LAKPpbZOrF44ZWeOmr3/IJdEcDfj3Zg0Cj5PCIYd14rqoBryHbfi8+cyV7tYnIvXGLAMMBbl95iQthY5uvstLXtRX3URfd3P+K99z7eGjedAx1W4i/2UHGqmZiccDa2dHCptgu/P7bQUHaFebfkYK5ej7eng44zYdDm5Oq0br5t+hGnw0nZoTI8Ph83y+UMrF+PL1lPSeerKJVB2Gtf4/LhDnrDVSxruq7au3SEkqMHqTWksuJAFfPTzDzeJ2GgsB01vyM99Q729MX83h1HRUUFR71HOVB7kOeH3k1I/xF6rWW43zuC6+xZOl55nQ8Cw2jod+DbVktflwPZ1BB+zm8gUBig5If3QJBy23Qz6oJVuGVRdO71ItEq+CXrFBsqNpLkS+LIniPEREYyNu8CPdu24xipoKL5XQL1k2m+uJDKC22ciJLxQ2sXywKVGH/bSH1JMZstwewsauEfY2IYW92Ps96KuuZ1pA251Ix7n6MlLfS7+3nn6jt02C2syJyNq2M79DqxvbAKwePlyIr3+Larn+R+KPz+CoGhGv4Il7A2t45Ebxu5P35GSGwcN8Z1IuSvo887HduxDhgVwEfyHzhRfwJNjYbCwiImZmQQ+vs+bGdO0TTkD2x9hUSaPqPkiJR6m52/O7tRy6R8IrNRvvdX+nu6icseidykxueDvrNNyHRKFOFaIiIiaGpqIjc3l6CgIIKDgwkMHEtPzyUaGjdgMExApQplYqA/21os7GzrZpZJR5BKwdQhwWy/2MDeombmDQtDrdZA5CjIXSlOQE6dj1ETTII+gbWlorp3ZvRMFCEhSI1GLGvXipOQR43CEKahr9vB5WMNKNUyzLE6zAlJ9LS1cmnfb4TExWMIi0AZq8N+pYu+vBZUCXpkehVJSUlUVFRw8eJFkpOT0Wq1GAzjaWnZSXvHYUJDFyGRKP7La+FfJb7/ZbH9YgMr9pSyMDucN25OQwARQnryQ5FUnvMPEATezX2XAzUHWD52OdOip+G126l/7HEG8vMJ//hjtOPG4rS7+f2by1g7Bpj79DB0QWq6W1vYtuJlpHI5t7/xLtpAA86mXjpWlyDxkxH0QDoShZSKigp++eUX4uPjueWWW5BIJDQ0bqT86usYjVNISX4TQZDwRW0bqxra+UesmfvCTbg9Xp7ZXMCBkhZWzEtj/rBwkbW34yGoPwd3boTwbLrsXTx44EGsDis/zPyBWF0szoYG6h58CFwuon/+CVlgIG21VvZ8XYgxXMvcZUOZlm7m7NHjSI6vJyg2gZuffRVpeBZ9p8roqclAM8JE1NwsogOiKTxdiKvWxbgJ45g8dx4o5NS4VmMLaSAl5T1Shs2hvdvOK4KNRpmXDUPjmJOdxbXqet4ultKNknUPjSZ+RBiuy0VoSh5C0JqQPLCHxIwRHCk7wsr2lZg1Zr6ZvpJQ0yTaDqzB+2ku2qkTSfjnuwzXaSg+VI/6dAcJY8zMuiuFML2Koj2/oK48x4Q77yV9wcP4XC66zhhxWIwY7kwhdfQIOmwd1J2sQ7AK3HHHHcTNno310kmqoraAUsbwEZtJzErlXHUXr/r1oZJL2TQsnqzskRw6mcfn9YFkhvvz3QOj0SQb8eauQ129AuJmIL/1B0LDI9hUvImDAwe5I/kOnhzxEjJZILb318KJGoJfepG0e+5C4vXRsaMWv+p+pt6Two3TYimtbadv19fIB3q4/fV3ME5YjLv6Ku25KXi9fpjuz2RC6mSOXDlCX24fep2eJUvuxzBzBi0lW6iL3Ye/OoVh2T8QmRzCtrIWVuqczDLq+GhoIsaISL4528SBLi0PT4jm73PTkfrLkOYuR9m5C6a9jmHKY1h6LHxR9wUNngY+n/I5kxOWMNBeif3FbdBgJfLLL8kZNZxTDRZUm2vxk0lZ9Oxw5oyIIPd8PtKD36M1mLj9tXdQpM/GkfsHnaXZKGP8MS8extCQoZz/4zzuCjdDs4cya/4ClMlJVNt/oie4kvi4Z0kYcjv9Pi+vSG30yGB7VgKjUofgcTm5tO83pHIFESlpKGN1OOus9J5rRhasRmHWkJKSQk1NDbm5uURERGA0mjCZptDaupvW1t0EBc0kQBlIjsGfDU2d7Gzr5qYgHWFaFaNjDaw5W8P56i7mZYUh04eDxgTnvoHWUhhyM7GBCeiUOtZdWUe3o5uJ4RNRpaXhamzEsnYtUoMBdWYm0elGOht7uXy0AV2QH6YIf2KGZVNTeImiIweJHTYcrcGAaoiBgcsd4iaVFIhC70diYiIFBQWUlpaSkZGBShWAv386+DwYDBORSP7rUvO/Snz/i+JASQsv/nKZCQkm3luYKW5OR9+GE+/DsLthzmd4fF7eO/8eW8q3cH/a/SxIXIDX6aThyWX0nz9P2HvvEXDDTPqtTnZ+kk9LtZWp9w0hKMqfvm4L2995FY/LxS0vryAgKBhHrZX2VUUIUgHTA+lI1HJqa2vZtm0bISEh3HbbbUilUuob1lFe/hpG4xQy0r8GJHxe08q71c0sDAnkmegQvF4fL2y/zN6iZl6ZPYR7x8aAwwYbb4OyPXDDuxA/lV5nL48dfozmvma+mvYVyYZkHJWV1C6+C4/VSuSq75CHh9PZ2Muerwrx81dw0xOZKFQyHJUF5DTsp10ZxE7zTVid0NeZisXzNEpJAXrL0zBgQVYpI8GaQEVABccUx3B7BmgdV0r/RC/aAxKkq8txej2szVDQZJAx/4wNbX43LTYHP0lH060wMLvtIMrGK0hdzZgUbyBIoLXnVRytMq70XuGw/jBqr5qc5hx8Az4434zhewXucGi87RoOZyv+l7qZXNhPcZSC1UMVOL0eDMX7GdOdR5k2iQ398ThcXiyW27B7R6GXfYO69SsGBgYILQslyB7EpaBLFHgKcEv66HrCjVcnoP/YiftUORVuF6tGiCine45Z0Xa5KOuV8Zt5DmqvnUllG+ltaULRuZ9A4VMc3qG0dT+HxyVwrP8YF00XCe4PJvxqOHa7HdXWdjRnpdhmeWgZeRmXw0XSvjbS65wczvRjv1mC2zHADS37CXJ28ptxOgdbZbh7PLS3P46XQEzy11C4i7B325nYIsr+9+r3Um4rx+ZXS+c9VuStMvTv2sEywGG5k63jtJgtHqbt72TA5uK0O5zz+uGk2q6QXLgVt2MATdPb+Mt2Y3PPo7trLi63i1xDLm3qNrLas3BedeK2WPD7Zz3yFildS130J9hwWRzcedSKxu7lp7FqznrsONvqyaneiUOmZn3gLFqcMgaatLQPvIpMaMMw8AxCTw2yZhlDOofQqG1kq7AVm7ObuuA99E/0oD0oQfZFBd19/XwT6aNNL2P+KRstu2rxeX1MuONeUsbncHrTGi4f3i9yChcPQRHhT9fGK/RdaEGhULB48WJMJhObN2+moaEBuTyQzIyVeLwDXLh4KzZbCUO0fmweFk+P282igkpaHS6GRur5+LahXKi18NCaC/QMuETx1KwPoXwvbL0H3A4WD1nMkrQlbC7fzMrClQCY31yOdupUWle8Rcd3q5BIJcx8KI3wJD1H11yhpqgDuULJ3GdfRqFWs2X5P6grLkSmUxL0UAYShYSOH4txtfah0+m48847sdlsrF69GovFQmDgaJKSXkN6nWbzPx1/ZVD/g+H1+vjyaCWv/FpMRriOH5eMRC2TiCiW05+ImdPNX9DnsfO3439jz7U93JN6D38b/je83T00/u3v9J0+Teg7b6OfP5/utn52fnIJW4edWY9kEJ8VTHNFOdv/+Rr91h5uefktQuISsFdY6Py5BKm/nKClmchNfuTl5bF9+3YCAgK45557UKvV1DespqJiBSbTNDIzvsItyPl7eT3fNbRzS0ggn6ZE4nB5eeGXy+wsaOLZGUk8NiUBbK2wdh40XIB5X8PIB7jWc41HDz9KZXcln035jDFhYxgoLqFuyf0gCESvXo1fWhqVF9vY+81lZHIJ854eRoDJjytnTvD7Fx8SmpBM2v3PsfZCK9pzLUQXW1AmGTDOAO+F7zl4qZo/rlkZMWIE+qF6tpevR9e1HvoLiY97DmNFMld/28tjxmjOC3I+To4gs8HN8WO1LL9cS4/Tw6o70tFWn6ft2GqSKj5C4hnAt2gz/fVBnCo4ygsdKwjzD+OjUR9RkX+VnnXrUP3wI6rUNEyfvkyTdRdFRyyUHtETNyyIoEWx/FDfQufalVjPnSB71lxkk25l29laUnLb0df3ETAjCn9zKbbcNazNH6C9Z4C5C+dyVXmVo5VrCLasw+fuIC35E6Sn2vnj2EmWxmSgUshZHx+F7WwbG0/X8P7lWkID1Xy7MInWc4dw5/5ITM1PCJFjcM34mZ5zHXxc+wVr2jcxK3YWT8c+Tf7Zc0i+XYnkwEH0d9yOYmkOtdVbOL81hNZrAuPvTOJqmpZtJWUMfPcRfTVVTH34Saq0Cew/XcvkSxZkbh9Bd0ejbFzH1XP72HDJhlyuZO6tczlhOUFRzTqCrb+iVseQYf6AnvW/8mW3nXf9Q5gU6M/nxmCuHm/kq7xa1pc3MzM1hBdH+XN5/69El39BQMsJfDkvMhD8BHW5ZTzb+Bpnus+xbNgyRspGUnDsGPrPPkdobibsy0/ojq2hPP845zZF4LELTF6aznGNh/25ufhWf4larWbm82+yrayXnrNNpBVYUIYHYFqoRSj+mWPnizhYaiEuLo7xs8azpXwDfl0bkffnExv7N8zdkyjed4gHguIoRcYnQyKZ4FNw+WgDtk470Rkm4keMpvVaJZd+34W910Z0VjaarBCcDTZ6TzchqGRo4g0kJydTUlJCXl4egYGBREamYTJNo7V1N42NmwgIyCRWH89YvZbVTZ3s7+hhQqA/YyMDCdP7seZsDQdLW5mcFIwucQxogsRMqrkQUm5iTMREmnqbWH9lPdU91UyMysE46yacDQ1Y1qzB53CgHT+O+Kxg6kq7Bst9kamhJI+dyLVLeVz6/TcCzaEEJyegGmKk/1Ir/ZfaUEQHYIgKIjIykkuXLlFQUEB0dDQBAQH/7bXxrxLfvzl6HW6e2pzP+nN1LMwKZ+U9w9H0N4qnn6KtIsZkzmc09jfz8KGHudx+mVfHvMrSzKUM5OZR/+CDOCsrMb+5nMBFi6gv7WLv14V4XD5ufnoY4cmBFBzYw57PP0CpVrPwH8sxxyViO9GAZUcFcpOaoKWZoJGyd+9eTpw4QXx8PHfffTcKhZ3S0mepb1hNkGkGGelf0uWWcu/laxzotPJ8jJm3EsMpa7Zxz4/nya3u4rmZSSyblggNF2HDLSJt/Y6NkDaffdX7ePLIk7i9bj6b8hnjQ8fRvWULTc89j9Tfn+i1a5DHxpG76xqntlYQFOXP/GeyUKp9HPnxW85sWUd48hBueelNEoMDmVNjJ7XDxS6Jk56pEQRHxbGhQk2ZVc0oRSWzckaSGjWMhIH9aLzt/N4XTHr8k9SNmMljqSNpk8p589QB7hyeTnmgmi+uNeNweng80MDsyfEM010jrXMzPQNSLgU/TNCUhfwk3canzu8JdwTxue5tkjKGELl/3//V3pmHx1Gd+fo91XurW/u+WbItyZLlXbaFF7ABY4MBs4QleEIg4RkCBBySXAJJLskkuZcszCRMuMNACGsIBDDBZgCDsfGG992WJcuWZC2WWmq1ulvqvbvq3D+6yRgCgQGCTVTv87S7TtWpU0efv6pfn6XOR/bbG+guKyPxv75LccUcDr86BdeRCjLGHGDO1UYmmovIeO4RLMcOs2PuRcy+ajnLnA4uahohJ6TyXLqgfHEFXmctzx01MhJR+XL2QermXMK0HCfjI28QSMTYIRo5p+5Wnps+jx9OnIXD5+WR3W8z+ZxG3tRiPNvroTSm8MNJY5gzM48pwVWMj2ylO5xF16S7sUwdx32JB3kjvoErfYu4p+a7FGeaKXr4YdLa2mhrmEH+d76DVc5m/6o6RgbSqJi/mqkLJjJtcAT74w8Qi0ZovvLrfOn8RVwUM7CkNUgsrvFUuZmpc8ZzUNTxcruZPNnPDTVBShqWUa+0UKUdoDsG7qwvUz1xGfdPm8fTZVUs2vUO/xb2YJ01mV93utgTCDFTM/HjxbXUjTMzafBpcqLH2TpcD/PuZGBCgm8N30uf2s89wZtZPvcGil3dFD76e4Tfz9Err6Bi2RXE3eexf3UNinmISZdtoG7SAsq3vEX26j/iSUsncsMKltaM5xKvRmNPhG3E2T49m4kTx/OnDicHfGlMU45ymnGa2QAAGs5JREFUxTmTKSytojb2NllaH6+POMkpug7v1CXcUttAWNX45XO/59KZ06iYm3zp/OD6Hk4cGqSkKptpi88nHo2y97VV9LQcZtzM2WTMLCXRHyLwTi8JX5T0CflMnFJPV1cX27dvJxgMMqGmgcKii/EMvk13z5OYTFnU5E2jMdPBc64hHj85SK7ZxLXVBcyqzOH53d08v7ub6WOyKJk4FxyFSZFq+jOieDrn1n8Fi8HCM83PsKlnE/PKz6b4ostJeDx4n3qaaOtRHI2zqJ5fyVBvkIPrexjqC1HVUMrEBQvpPXqEPa++jBCC0qn12GtzCR/yEHjnJCAomDaGCbUTaGpqYufOneTk5JCfn/+pno8fV6DEu0tYfBFoaGiQu3fvPt3V+JtIKVlz2MUv1rTQ7Q3zg4tquXHOGMT+P8Ca1MrkS+4jPOlKnjjyJI8ffhyjMHL/gvtpzJrG4EP/ied3v8NcUUHJv96PWjyOLS8c4/ieATIL7Cy9dTJCDLPxD49xbMdWxk6fyZLbvo3BB96Vx4j3BbFNyiXr8vF09HXx5ptv0t/fz/z581m4cCGDnrW0tPyQRCLAuLF3UlT6NZ7q83J/h4uwpvHAhHIuysngia0d/OqNo+Q6LPz6mqk0ForkCut7nki+n3HtMwxmj+HBfQ+y8thKpuVP41dn/4rMgRCu/30vod27sZ/VSPF99+EJ29i68jh9x/3Uzi3inGtr6G09zJqHfsPI4CAzL72CxiuvI3bYi3/NCbRADMOicla09OA9eYw55m6sFhOXzaunev+P6HD00lWWhsHoJK3sTr637yVOmGYRcl5Itd3Cb9ydBH/2cx6su4Tt+bVMKk7n9uoSfG9soTHtKcqNu5A1S9muLeCVDS+ydYYPjy3MlWOv4Kb+K4iv3kisZSXa8AAZN93EhqIiThzykBmoRREGZl+eTcR2Lx3b+ujfW4AiTEy54Rb+r62UGc3DfKMthjHdQvf8Qr659hC1agfjDINkZ+dw5fRcsnfeTXsJuPKMZGbMpNWykJ8dXEko9xbCpkqW5ji5a/1r7F/5Jo9MvYK2tHyunlHK+WETod1ruSDnQWwMETvr26zaHuCt4a3sqxshbtS4c+IKlmybTHDza8Sa/4xit2K5525ebG1D68vBHirBnmlh9hWCfv/36NoGg0cyyS0bg+3GO/hFd4jvH44w253ANDaDNeUW/mPzIWaZushhmJqaaq7IOUb04AMcmZhH0JKgoOR6Huv18spggGj2V4krTm4ryOC6f/8la477eWTGVcTNVu5dNAFtXQ9jA39gpnMlwurEP/su/vjqHrbYW2geFyA/rYBfjfsZ2c/7iOx5hnjXDqwTJ+K74au8sfcYVu8YTJEsisZnMOmSwxw78ku6N5QTcBmYsOB8Nsy9mLYWH99viVIY0rDMLOAX8SC7Dh5mvrUHi1BZet5cph7+MZ3Go3SMcWA0ppMz5lvce3gje7SJRJ0LGW8386hFRdx+G6rPT/by5eTeegudbVE2/LGFaDjB7EvHMvX8clre2cDah3+LxeFg7jX/RN28cwm81c3I5h6UNDNZy8Zhrs1i3bp1bN269S/vHRYUpHP48O0MebeQnj6VCTU/IWSu5vbmTjZ5A8lZftWljPijfO2JXXQOhbh6RhnfXVxD3uBOePnWZDibuStgwT1s6d/FXZvuQiD4xpRvcHX11QSefAb3Aw8grFYKvncX6Zddzv63utm+qp2MPBtnX1NN4bg01j7yW5q3bCCntJzzvn4LJWNr8b58nPB+N+bKdLK/VE3UqvHss88yMDDAihUrSEtL+8TPSSHEHillw0fm0wXqs2NHu4efr2lhX5eP6gIHP7m4hsbIFtj6W+jbDxXziV/yG970H+WBvQ/QF+xj0ZhFfHvCzVhXbWToySdRh4bIvOpLpN/+XVr2etmzphMtIZlx4RjGz7Cxe/WLHN6wFqEozLlqOVMbFhPc7iK4x5W8GS4bhy87ztq1a2lvbyczM5MLLlhEXr6Lrq7f4/PtwOmcSM2EX7EjWshP23o5FopyTpaT71cUsP/IIA9vbKPXH2HxxAJ+cXEFma0vJcfLwl6Y/Q2GGm/m8eMv8lzLc8S1ONfXXc/NOcsIPPc83mefS90M30POXcyOVe207XNjc5qYvWwszkwPe179M+17d5FZWMTiW+4k11SM//UO4j0BzGVOHEvH0OrrZNPmzQx5PPRLJ7u0Mm6a42Ki80/EYi6K+qMUDGTyxNSf8J+MZUQDa2ADxb6NVCvL2X00jXg0zleaXuM6Yzuli+yYBjcSl1Z2DV/NrsI5HK3ewlb/JmxxI2fty+Bc0wQm9A2ROHAAJaMYc/1V+KfM5uhQlEFXCNUUZDijicoCC5G2Znx9vWRUBhkzJ0iVXIHpYCUyqLI+38hDdQqXxoYQLYcIh8IcTBQSzChgxVnbscVfRqgJynuCxOMNPFL3bV6IZyK1KDbPY9RJgXX4KnYcj1IQHebrB/7MZfUxcsZ5MHgPMqwV8br3DnqnONiW+yrN/iMUe+3MacphsbOKrL0H0VwuDLnVGGfdhHtcGS3dAQK+GGF7L1pODxV2hb59O1DjUXJqh6hqyKHMfzM0ZxFXJb+pMtNSLrjMfYKB5ibiwsTOWAkTqgSXVb0F0a2Y41Db7Ke1aDkPVNzIxhBY493YPI8x27SA9o5aujxxxvlP8v39zzBjUR7p2e0ovjaORc5mc+wGXHO7eTX6AsPxYcaeTGPR8WLmWfKw7dmPFghirr4IMWMZXTkOjhz2IIVGwN6BM99HRshLf/MhFLNG6byTjK+YQ0HPctRWjR6HgZ/WmBifGWFM6yGG3QP4pY131DKuntHHrPw3iEfbyPeolLZLnmy4j98a6whrGpaRteQH13BdzWUsL7yY+ENP4HtxJYasLPLuuB3TuRex+aVO2ve7ySq0M/X8cjILgrz9xEO4jreSU1rO/OtuoLSgFl/qR6O1JgvHvBI6Ei5eeeUVQqEQVVVVLFiwAEXZybHj9xGPeyktWU5J6fU86XFwX3svRiG4riiH6/OzWPlOJ09sPYHFaOCb545n+dQsnBvuhX1PQ0Y5NN5CV9VCfrb312zr20aJo4Tbp93OedTSf++PCO3ejW3GDHK+diPDJVN566kWAkNRisZnMPuSsUQCx1j/+MMMu/upnbeAGRdfjmPIgW9VGzKhYp+Sj21+ER5tmNLS0k/1rPxMBUoIsQR4gGR4lkellD9/33EL8BQwA/AA10gpT6SO3QN8HVCBO6SUb3ycMj+IM1GgujwhXjnYy+r9vRztH6HQaeFfGgWLTPtR9jwO/m5kzjiap3+Z1cYEr3W8jjfqpS6jhu+ZLqZ430n8q1ahjYxgm38O8YtvoH3AQft+N5oqKa1No7TKz8nm3bTv3QnAlAVLmVJ7HommEWIdwwiTgjbFSXf+CIdbmujt7cVmszJvXjUlJUP0uf5EKNSOxVKEVnALmziHlQN++qJxKqwmrren4z8ZYOXekwwGoswqT+fuyQGmDb6COPwSJMJEyht5Z8Y1rB1uZX3XeqJqlMuLFnN9eDrGV98muGkzGAxYl1zKyLlfoa05RO9xH0azgdo5DhzpLpo2vslARxu29AwaFiyjKreByEEPqieCcJqIzHHQKQc4cOAAfr+fgoJ8GhuL0Qy7cA+sxqSEODFSzibtWySyCtmTUPEZ7FwwsJXzIyHWBCrZ1m1GArnpTdxV0cTivqOkDx9FatDen8u2+gWszvbToh7FnLAyd2A2yz2F2HeuxTgwQNSg0Fk/C9FwJX5XOsPBBHYhqcgLE0k7ztGmd1CjYaTJytiJ51OfV421J4ESsTGc1cRAlYvWcBEn2/oRmoY7O5PK6Saq2IU1sg1FqGzsX0h3xlcJ2CXv4MSqRlnm3kpVzMkLriw6vVYQMaYVvM13Ctw0HN+LVXURDym0hMbyxsyZvEILQ3iwR50s7zqXczwJxK51mAIBvHYb7rOWICovoK9DklAlmQaN0iIPA7Emuo4fAFVFZBQwecpixhkyMZ6wgNDwFu2jryzBwX4bQZcHVQhclfk01MbIH36bdHGIkVgam4cuxVt8BUe0MCdEGumxYW7s24JUS/lTrw1/0I7B3MeFZbu40+Klom0jBhEh5DexxTmDtdUlbIwfIawEqfRUc4PnLKq6j6Ls3orQNPqzswmct5yIoZ4BV3L5n1JLlNySQY4O7Mbb3YZUFKyF4zmrfgm5gwKD14pmiHCychu92XYOdRrA78dvtZOoy+Kcoh4cw6sxiWE6R0rYpN6MN7uOQ2qckGLmosFN/EA9QrxqBr8bbmJt13osBgtLxy7lguh4Ch99jeiefSgOB84lS/BNWcqhVoXB7gA2p4m6ecUoop1D617A5+ols7CICWedzTjbVLSDAbRgAmOeDXNDLoeiHWzbu4NIJEJFRQW1teXY7WtxD65ESpWszEbiucv5Y6CGlQMjCASX5Gcyw2Bm09ZuNh51YzUpLJ5YyE1FHdS3PYLo2gaWDJj+Fbbmj+XX3a/T4j1Kgb2AJeWLufCwEfPTq0m4XJiKi3Fecy29ubPYv3OEkD9G/hgnlVOyGO7fzKF1r5CIxygcX82UuUsojJYT3etBJjRs9blkXVmFYv3ks/g+M4ESQhiAVmAR0APsAr4spTxySp5bgclSym8IIa4FLpdSXiOEqAOeBWYBxcBbQHXqtL9Z5gdxugVqJBKn0xPi0Ek/+7t87O/24ervo1r0sCjXw8L0XsYNb8cT6qfLaKKpsIb9uWXsC/WiugcZ5zawIFrJlKE0LPvaCMVNhDNKiE46G3/hZAZcUeJRP0bjIBl5QYQcwN3eil2kk5c1hsqyKeSaSogOBBkhwpAjjDc/Rn/ci9vTjd3up6hIUlwcx2BsZTA2TD8F9Fnm02ldwMFIBr2BKMaROONVAzlhjY5OL7awi/EGF0vz3CxKO47TvYcBLUSLPZ0jJfUcSctk31ALGe4I1X47Z4fLqO+UJJo7iJgyCBbXEZ28EL+9FPfJEdT4IDbHCI7MEUK+4wT7B3EYMynJr2Fc+QzsUQehoQBDIoA/L4EvI0qn7yTR6AB2+wilZVBUNEIs3oJHhS5RxUDaBbRq9ewOGIlHVMRwDONAhBx/kGg4Rr7wMkO08iXjZqptfVjiPk4ajey0WtjoSKfdkEZAjVDghYmdGguajZSM2CEcIZhWjDtnCt7CeoK2bNREAql6UePtKOIEIhFAaApZ5nzKHRPJz6jAhJWojOMRI3Qa3PTbvATVIEZTGKfDQ0FhG/bsOJIgHnJoYQJ7RSOdsg5fwoCIaAhvFEtfmJxQgFBMZbzo5VxlH+eaD1Fu6oNEiBMmI1utVtalZ9EnDch4nLJBmNekMbXPRqbfgCoNBNJKGMydhK9oMiFhR2oR1EQ/WqwJs9FLIhbCKmzkWoopddSQk16OkjAQFBHcYphjJhd+m59ILIrNNkJmVi+5eX2Y0lU0GcRFEc1MZIdYSK9WSkQFEYijuMI4vWEckQAiHqVKOcl5Yi/n25rIlS6CaBw3GVnlcHDInolXVbGFVMb1ShpbYdKgE9tQhJg5g5G0EvpK5hDIHUs0oSC1YbR4NzJxHIspSCwcwGnKIsdSQmVGPU5bPjIh8YkgnYqbbrOHkMWPqsaw2/1k5/SQmzeIsAYJSBs9lLKZhRwT0/BqaaiKgLiGsT/M/JiP2+Jv0OB9FWt0EGkw01EymcecdtZGeglpMWyKhcsDNTTuD5O/ox0lEkXJzCQ49QJOpDfQN5zs8rKmKTiyuggNHcTbexQpJTlFpdQUNVKYGINpJPlgV7MNtGQM0DrSiSeQXPuuvDyDkpITmC070bQBwEDEMYdXxeWsC5fhVxXMQjBZNSBPBmlv8xKOqjgsRq4scLFce4Uqz3qEVFEt6ayrmMorJsmWUA8JqVJiLeTi3gJmbnGT3tQFgCguwz31croN4/Cm6pZVaMBoOIa3dyeBoV4QguLyGury5pBJHiUrGjGmIhp8Ej5LgToL+LGUcnEqfQ+AlPK+U/K8kcqzTQhhBFxAHnD3qXnfzZc67W+W+UF8GoH615/exXCm7ROdq6Pzt/ifdJJ/+lXMPqzED6rFe68m359P/PWZf9mW4pRMEpCIVEpoqbSQqSI0BBKkQKKkcqfO1QQCgSIVFJncRgg0oSCFQCqpAJciVaYiAS35AoxQEErygyLQDJKEkkBVNGJKgrhRRVUk0ijRjALVIEgYDYQVGyM4CeDESzZu8lFF6te+lFiIEsOERIGROEZXGJMnhBzRMMoE85TDNCpNzDE0UydOoKGxy2Zlvd3OFpudXpOCJSaZ1SqZdEIyoQcKvZKYycFQVi2DuXUMZdWSMDmRWhA1dhQtfgJNdYGMkG7KpcA2hgJbJfnWMkyKGa8IcEJx06W4GVKCqEIlI6OfzKw+MtMHcKQPIhVoZQJ7mMkBOZ0+UYzUBIo7gsETxuiNIIMaTsLMVQ6z0LCfs5WDFIkh/IrC2jQbm21pHLKYcRsVCrySyR2SKR2SiV2StAiErTm486YykFtPwFGGqliRqgst3pn8qC5AcMfTL2D6HATq47TRSoDuU9I9wOwPyyOlTAgh/EBOav/2951bktr+qDIBEEL8M/DPAOXl5R+juh9M2GTg4frLP/H5Ojo6Zz4GqeJIRHHEE9jiGoURlZpIH+nqILmii3LZjtM8gMEWxmvJwG3JpX9sAYNVOfi1TDzBTLYON7Ah0ogaEaSFg1RHOxkb7mVsoJdb6SdN+AhYAgwWRBgq1VhjhJGYAevgCI7hXWT4d5E9KMiKOjFrRWAoRhpziZkriJhMhIjRFYnQHjkGch92xUC60YbT6KDe5MSiZBI3mwhFxhJ2q4SUOEOGIKrDhc02xAL7ARbZNoFZxW3JoS+nEE9+Dl6RxWA8B89wJuvCc3g9fDZaWJATGaI61sUEfyeTfS4W4cNk9OK1DOMrj3NynMYeg4IaMGD3DeL0riPLt550l8ARy8FEGdKQi2osJmqZQMSgfipx+p/w+USd+hRIKR8BHoFkC+qTlpOmSm4++NJnVi8dnb87H9jcEh/SYvsYt4Y89Vu+p3gF+Zf9/91qSl5P/KXtBFKK1D4Qqff8xbv/iL8UhhSpj5JqfwlASFShoAGqoqAh0BAIoSFJtZxQ0aSKFBog0WRyn5QaSkJFJCRKQkPENQwJiSEhMapgTqgYExpGVSZbbRKElvoLpMCICQMKkE5AZqEIBaMQFKFQJBLAABj6UAwaGFSEoiGERtxkIG40kDApxK25NIsC4sJIXCjEpQE1qiAjAqdIYMpIINM1AqUaIySQQkWSQENFE30IeRJDIoEhkUBRJUKqCBXCqhGvVEAzoGgpI2oCEUn9N2hgwIBxyIiCBQMlREj+WLcJhbEYGEsERC/C2IMwJECRKIqGapSoBgNxg0C1GfAqY3BTQQwjMcWApiokVAULEqNIYMjSSGSqDMkEQ2ioSgKNBFJEkLIboakYE+pH+9pnxMcRqJNA2Snp0tS+D8rTk+riyyA5WeJvnftRZX6m3PmDj5yDoaOjo6NzBvFxljraBVQJISqFEGbgWmD1+/KsBr6a2v4SsF4mB7dWA9cKISxCiEqgCtj5McvU0dHR0RnFfGQLKjWm9E3gDZJTwh+TUjYJIX4C7JZSrgZ+DzwthDgODJEUHFL5ngeOAAngNimlCvBBZX72f56Ojo6OzheVL9SLukIIN9D5KYvJBT7/2MVnLro93otuj/ei2+O96Pb4az6JTcZIKfM+KtMXSqA+C4QQuz/O9MbRgm6P96Lb473o9ngvuj3+mr+nTfRwGzo6Ojo6ZyS6QOno6OjonJGMRoH6yCXeRxm6Pd6Lbo/3otvjvej2+Gv+bjYZdWNQOjo6OjpfDEZjC0pHR0dH5wuALlA6Ojo6Omcko0aghBBLhBBHhRDHhRB3n+76fN4IIcqEEG8LIY4IIZqEECtS+7OFEGuFEMdS31mnu66fJ0IIgxBinxDiv1LpSiHEjpSf/Cm10smoQQiRKYR4UQjRIoRoFkKcNZp9RAhxZ+p+OSyEeFYIYR1NPiKEeEwIMSCEOHzKvg/0B5Hk31N2OSiEmP5prz8qBCoV0+r/ARcCdcCXU7GqRhMJ4DtSyjqgEbgtZYO7gXVSyipgXSo9mlgBNJ+S/gXwaynleMBLMtjmaOIBYI2UcgIwhaRtRqWPCCFKgDuABillPclVb65ldPnIE8CS9+37MH+4kORydlUkI1A89GkvPioEimTAxONSynYpZQx4Dlh2muv0uSKl7JNS7k1tj5B88JSQtMOTqWxPApednhp+/gghSoGlwKOptADOBV5MZRlt9sgAzia5dBlSypiU0sco9hGSy8HZUotg24E+RpGPSCk3kVy+7lQ+zB+WAU/JJNuBTCFE0ae5/mgRqA+KaVXyIXn/4RFCVADTgB1AgZSyL3XIBRScpmqdDn4D3EUyzgMkY5j5pJSJVHq0+Ukl4AYeT3V7PiqESGOU+oiU8iRwP9BFUpj8wB5Gt4/Ah/vDZ/6cHS0CpZNCCOEAVgLfklIOn3ostQL9qHjvQAhxMTAgpdxzuutyBmEEpgMPSSmnAUHe1503ynwki2SroBIoBtL46+6uUc3f2x9Gi0B9nJhW//AIIUwkxekZKeW70Rv7322Gp74HTlf9PmfmApcKIU6Q7PI9l+T4S2aqOwdGn5/0AD1Syh2p9IskBWu0+sj5QIeU0i2ljAMvkfSb0ewj8OH+8Jk/Z0eLQI36+FOp8ZXfA81Syn875dCpsby+Cqz6vOt2OpBS3iOlLJVSVpD0h/VSyuXA2yRjmsEosgeAlNIFdAshalK7ziMZKmdU+gjJrr1GIYQ9df+8a49R6yMpPswfVgPXp2bzNQL+U7oCPxGjZiUJIcRFJMcc3o0/9X9Oc5U+V4QQ84DNwCH+e8zl+yTHoZ4HykmGMrlaSvn+QdF/aIQQC4DvSikvFkKMJdmiygb2Af8kpYyezvp9ngghppKcNGIG2oEbSf6QHZU+IoT4F+AakrNg9wE3kRxXGRU+IoR4FlhAMqRGP/Aj4GU+wB9SIv4gyW7QEHCjlHL3p7r+aBEoHR0dHZ0vFqOli09HR0dH5wuGLlA6Ojo6OmckukDp6Ojo6JyR6AKlo6Ojo3NGoguUjo6Ojs4ZiS5QOjo6OjpnJLpA6ejo6Oickfx/0tlkef98PKwAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "#%% plot the distributions\n", - "\n", "pl.figure(1)\n", "pl.subplot(2, 1, 1)\n", "pl.plot(x, a, 'b', label='Source distribution')\n", @@ -146,7 +144,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 5, @@ -155,18 +153,18 @@ }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "#%% Compute and plot distributions and loss matrix\n", - "\n", "d_emd = ot.emd2(a, B, M) # direct computation of EMD\n", "d_emd2 = ot.emd2(a, B, M2) # direct computation of EMD with loss M2\n", "\n", @@ -196,17 +194,18 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "#%%\n", "reg = 1e-2\n", "d_sinkhorn = ot.sinkhorn2(a, B, M, reg)\n", "d_sinkhorn2 = ot.sinkhorn2(a, B, M2, reg)\n", @@ -240,7 +239,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.5" + "version": "3.6.9" } }, "nbformat": 4, -- cgit v1.2.3 From 135c011092cb442b0b874b565b6a2ca3f09234c4 Mon Sep 17 00:00:00 2001 From: RĂ©mi Flamary Date: Wed, 22 Apr 2020 11:39:23 +0200 Subject: remove notebooks and cleanup readme and doc --- README.md | 40 +- docs/source/readme.rst | 60 +-- notebooks/plot_OT_1D.ipynb | 278 ---------- notebooks/plot_OT_1D_smooth.ipynb | 335 ------------ notebooks/plot_OT_2D_samples.ipynb | 372 -------------- notebooks/plot_OT_L1_vs_L2.ipynb | 384 -------------- notebooks/plot_UOT_1D.ipynb | 197 -------- notebooks/plot_UOT_barycenter_1D.ipynb | 342 ------------- notebooks/plot_WDA.ipynb | 316 ------------ notebooks/plot_barycenter_1D.ipynb | 315 ------------ notebooks/plot_barycenter_fgw.ipynb | 342 ------------- notebooks/plot_barycenter_lp_vs_entropic.ipynb | 592 ---------------------- notebooks/plot_compute_emd.ipynb | 247 --------- notebooks/plot_convolutional_barycenter.ipynb | 178 ------- notebooks/plot_fgw.ipynb | 365 -------------- notebooks/plot_free_support_barycenter.ipynb | 171 ------- notebooks/plot_gromov.ipynb | 263 ---------- notebooks/plot_gromov_barycenter.ipynb | 369 -------------- notebooks/plot_optim_OTreg.ipynb | 643 ------------------------ notebooks/plot_otda_classes.ipynb | 305 ----------- notebooks/plot_otda_color_images.ipynb | 327 ------------ notebooks/plot_otda_d2.ipynb | 321 ------------ notebooks/plot_otda_jcpot.ipynb | 397 --------------- notebooks/plot_otda_laplacian.ipynb | 252 ---------- notebooks/plot_otda_linear_mapping.ipynb | 343 ------------- notebooks/plot_otda_mapping.ipynb | 290 ----------- notebooks/plot_otda_mapping_colors_images.ipynb | 368 -------------- notebooks/plot_otda_semi_supervised.ipynb | 294 ----------- notebooks/plot_partial_wass_and_gromov.ipynb | 350 ------------- notebooks/plot_screenkhorn_1D.ipynb | 213 -------- notebooks/plot_stochastic.ipynb | 573 --------------------- 31 files changed, 22 insertions(+), 9820 deletions(-) delete mode 100644 notebooks/plot_OT_1D.ipynb delete mode 100644 notebooks/plot_OT_1D_smooth.ipynb delete mode 100644 notebooks/plot_OT_2D_samples.ipynb delete mode 100644 notebooks/plot_OT_L1_vs_L2.ipynb delete mode 100644 notebooks/plot_UOT_1D.ipynb delete mode 100644 notebooks/plot_UOT_barycenter_1D.ipynb delete mode 100644 notebooks/plot_WDA.ipynb delete mode 100644 notebooks/plot_barycenter_1D.ipynb delete mode 100644 notebooks/plot_barycenter_fgw.ipynb delete mode 100644 notebooks/plot_barycenter_lp_vs_entropic.ipynb delete mode 100644 notebooks/plot_compute_emd.ipynb delete mode 100644 notebooks/plot_convolutional_barycenter.ipynb delete mode 100644 notebooks/plot_fgw.ipynb delete mode 100644 notebooks/plot_free_support_barycenter.ipynb delete mode 100644 notebooks/plot_gromov.ipynb delete mode 100644 notebooks/plot_gromov_barycenter.ipynb delete mode 100644 notebooks/plot_optim_OTreg.ipynb delete mode 100644 notebooks/plot_otda_classes.ipynb delete mode 100644 notebooks/plot_otda_color_images.ipynb delete mode 100644 notebooks/plot_otda_d2.ipynb delete mode 100644 notebooks/plot_otda_jcpot.ipynb delete mode 100644 notebooks/plot_otda_laplacian.ipynb delete mode 100644 notebooks/plot_otda_linear_mapping.ipynb delete mode 100644 notebooks/plot_otda_mapping.ipynb delete mode 100644 notebooks/plot_otda_mapping_colors_images.ipynb delete mode 100644 notebooks/plot_otda_semi_supervised.ipynb delete mode 100644 notebooks/plot_partial_wass_and_gromov.ipynb delete mode 100644 notebooks/plot_screenkhorn_1D.ipynb delete mode 100644 notebooks/plot_stochastic.ipynb (limited to 'notebooks/plot_compute_emd.ipynb') diff --git a/README.md b/README.md index 1cc39e6..c42af39 100644 --- a/README.md +++ b/README.md @@ -136,35 +136,11 @@ T_reg=ot.sinkhorn(a,b,M,reg) # entropic regularized OT ba=ot.barycenter(A,M,reg) # reg is regularization parameter ``` - - - ### Examples and Notebooks The examples folder contain several examples and use case for the library. The full documentation is available on [https://PythonOT.github.io/](https://PythonOT.github.io/). -Here is a list of the Python notebooks available [here](https://github.com/PythonOT/POT/blob/master/notebooks/) if you want a quick look: - -* [1D optimal transport](https://github.com/PythonOT/POT/blob/master/notebooks/plot_OT_1D.ipynb) -* [OT Ground Loss](https://github.com/PythonOT/POT/blob/master/notebooks/plot_OT_L1_vs_L2.ipynb) -* [Multiple EMD computation](https://github.com/PythonOT/POT/blob/master/notebooks/plot_compute_emd.ipynb) -* [2D optimal transport on empirical distributions](https://github.com/PythonOT/POT/blob/master/notebooks/plot_OT_2D_samples.ipynb) -* [1D Wasserstein barycenter](https://github.com/PythonOT/POT/blob/master/notebooks/plot_barycenter_1D.ipynb) -* [OT with user provided regularization](https://github.com/PythonOT/POT/blob/master/notebooks/plot_optim_OTreg.ipynb) -* [Domain adaptation with optimal transport](https://github.com/PythonOT/POT/blob/master/notebooks/plot_otda_d2.ipynb) -* [Color transfer in images](https://github.com/PythonOT/POT/blob/master/notebooks/plot_otda_color_images.ipynb) -* [OT mapping estimation for domain adaptation](https://github.com/PythonOT/POT/blob/master/notebooks/plot_otda_mapping.ipynb) -* [OT mapping estimation for color transfer in images](https://github.com/PythonOT/POT/blob/master/notebooks/plot_otda_mapping_colors_images.ipynb) -* [Wasserstein Discriminant Analysis](https://github.com/PythonOT/POT/blob/master/notebooks/plot_WDA.ipynb) -* [Gromov Wasserstein](https://github.com/PythonOT/POT/blob/master/notebooks/plot_gromov.ipynb) -* [Gromov Wasserstein Barycenter](https://github.com/PythonOT/POT/blob/master/notebooks/plot_gromov_barycenter.ipynb) -* [Fused Gromov Wasserstein](https://github.com/PythonOT/POT/blob/master/notebooks/plot_fgw.ipynb) -* [Fused Gromov Wasserstein Barycenter](https://github.com/PythonOT/POT/blob/master/notebooks/plot_barycenter_fgw.ipynb) - - -You can also see the notebooks with [Jupyter nbviewer](https://nbviewer.jupyter.org/github/PythonOT/POT/tree/master/notebooks/). - ## Acknowledgements This toolbox has been created and is maintained by @@ -174,21 +150,21 @@ This toolbox has been created and is maintained by The contributors to this library are -* [Alexandre Gramfort](http://alexandre.gramfort.net/) -* [Laetitia Chapel](http://people.irisa.fr/Laetitia.Chapel/) +* [Alexandre Gramfort](http://alexandre.gramfort.net/) (CI) +* [Laetitia Chapel](http://people.irisa.fr/Laetitia.Chapel/) (Partial OT) * [Michael Perrot](http://perso.univ-st-etienne.fr/pem82055/) (Mapping estimation) * [LĂ©o Gautheron](https://github.com/aje) (GPU implementation) -* [Nathalie Gayraud](https://www.linkedin.com/in/nathalie-t-h-gayraud/?ppe=1) -* [Stanislas Chambon](https://slasnista.github.io/) -* [Antoine Rolet](https://arolet.github.io/) +* [Nathalie Gayraud](https://www.linkedin.com/in/nathalie-t-h-gayraud/?ppe=1) (DA classes) +* [Stanislas Chambon](https://slasnista.github.io/) (DA classes) +* [Antoine Rolet](https://arolet.github.io/) (EMD solver debug) * Erwan Vautier (Gromov-Wasserstein) -* [Kilian Fatras](https://kilianfatras.github.io/) +* [Kilian Fatras](https://kilianfatras.github.io/) (Stochastic solvers) * [Alain Rakotomamonjy](https://sites.google.com/site/alainrakotomamonjy/home) -* [Vayer Titouan](https://tvayer.github.io/) +* [Vayer Titouan](https://tvayer.github.io/) (Gromov-Wasserstein -, Fused-Gromov-Wasserstein) * [Hicham Janati](https://hichamjanati.github.io/) (Unbalanced OT) * [Romain Tavenard](https://rtavenar.github.io/) (1d Wasserstein) * [Mokhtar Z. Alaya](http://mzalaya.github.io/) (Screenkhorn) -* [Ievgen Redko](https://ievred.github.io/) +* [Ievgen Redko](https://ievred.github.io/) (Laplacian DA, JCPOT) This toolbox benefit a lot from open source research and we would like to thank the following persons for providing some code (in various languages): diff --git a/docs/source/readme.rst b/docs/source/readme.rst index 279e5da..4da1ceb 100644 --- a/docs/source/readme.rst +++ b/docs/source/readme.rst @@ -1,8 +1,8 @@ POT: Python Optimal Transport ============================= -|PyPI version| |Anaconda Cloud| |Build Status| |Codecov Status| -|Downloads| |Anaconda downloads| |License| +|PyPI version| |Anaconda Cloud| |Build Status| |Build Status| |Codecov +Status| |Downloads| |Anaconda downloads| |License| This open source Python library provide several solvers for optimization problems related to Optimal Transport for signal, image processing and @@ -184,44 +184,6 @@ The examples folder contain several examples and use case for the library. The full documentation is available on https://PythonOT.github.io/. -Here is a list of the Python notebooks available -`here `__ if you -want a quick look: - -- `1D optimal - transport `__ -- `OT Ground - Loss `__ -- `Multiple EMD - computation `__ -- `2D optimal transport on empirical - distributions `__ -- `1D Wasserstein - barycenter `__ -- `OT with user provided - regularization `__ -- `Domain adaptation with optimal - transport `__ -- `Color transfer in - images `__ -- `OT mapping estimation for domain - adaptation `__ -- `OT mapping estimation for color transfer in - images `__ -- `Wasserstein Discriminant - Analysis `__ -- `Gromov - Wasserstein `__ -- `Gromov Wasserstein - Barycenter `__ -- `Fused Gromov - Wasserstein `__ -- `Fused Gromov Wasserstein - Barycenter `__ - -You can also see the notebooks with `Jupyter -nbviewer `__. - Acknowledgements ---------------- @@ -232,24 +194,28 @@ This toolbox has been created and is maintained by The contributors to this library are -- `Alexandre Gramfort `__ +- `Alexandre Gramfort `__ (CI) - `Laetitia Chapel `__ + (Partial OT) - `Michael Perrot `__ (Mapping estimation) - `LĂ©o Gautheron `__ (GPU implementation) - `Nathalie Gayraud `__ -- `Stanislas Chambon `__ -- `Antoine Rolet `__ + (DA classes) +- `Stanislas Chambon `__ (DA classes) +- `Antoine Rolet `__ (EMD solver debug) - Erwan Vautier (Gromov-Wasserstein) -- `Kilian Fatras `__ +- `Kilian Fatras `__ (Stochastic + solvers) - `Alain Rakotomamonjy `__ -- `Vayer Titouan `__ +- `Vayer Titouan `__ (Gromov-Wasserstein -, + Fused-Gromov-Wasserstein) - `Hicham Janati `__ (Unbalanced OT) - `Romain Tavenard `__ (1d Wasserstein) - `Mokhtar Z. Alaya `__ (Screenkhorn) -- `Ievgen Redko `__ +- `Ievgen Redko `__ (Laplacian DA, JCPOT) This toolbox benefit a lot from open source research and we would like to thank the following persons for providing some code (in various @@ -437,6 +403,8 @@ NIPS Workshop on Optimal Transport and Machine Learning OTML, 2014. :target: https://anaconda.org/conda-forge/pot .. |Build Status| image:: https://travis-ci.org/PythonOT/POT.svg?branch=master :target: https://travis-ci.org/PythonOT/POT +.. |Build Status| image:: https://github.com/PythonOT/POT/workflows/build/badge.svg + :target: https://github.com/PythonOT/POT/actions .. |Codecov Status| image:: https://codecov.io/gh/PythonOT/POT/branch/master/graph/badge.svg :target: https://codecov.io/gh/PythonOT/POT .. |Downloads| image:: https://pepy.tech/badge/pot diff --git a/notebooks/plot_OT_1D.ipynb b/notebooks/plot_OT_1D.ipynb deleted file mode 100644 index 9b2b446..0000000 --- a/notebooks/plot_OT_1D.ipynb +++ /dev/null @@ -1,278 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# 1D optimal transport\n", - "\n", - "\n", - "This example illustrates the computation of EMD and Sinkhorn transport plans\n", - "and their visualization.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Remi Flamary \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "import ot.plot\n", - "from ot.datasets import make_1D_gauss as gauss" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 100 # nb bins\n", - "\n", - "# bin positions\n", - "x = np.arange(n, dtype=np.float64)\n", - "\n", - "# Gaussian distributions\n", - "a = gauss(n, m=20, s=5) # m= mean, s= std\n", - "b = gauss(n, m=60, s=10)\n", - "\n", - "# loss matrix\n", - "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)))\n", - "M /= M.max()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot distributions and loss matrix\n", - "----------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "G0 = ot.emd(a, b, M)\n", - "\n", - "pl.figure(3, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, G0, 'OT matrix G0')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Solve Sinkhorn\n", - "--------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It. |Err \n", - "-------------------\n", - " 0|2.861463e-01|\n", - " 10|1.860154e-01|\n", - " 20|8.144529e-02|\n", - " 30|3.130143e-02|\n", - " 40|1.178815e-02|\n", - " 50|4.426078e-03|\n", - " 60|1.661047e-03|\n", - " 70|6.233110e-04|\n", - " 80|2.338932e-04|\n", - " 90|8.776627e-05|\n", - " 100|3.293340e-05|\n", - " 110|1.235791e-05|\n", - " 120|4.637176e-06|\n", - " 130|1.740051e-06|\n", - " 140|6.529356e-07|\n", - " 150|2.450071e-07|\n", - " 160|9.193632e-08|\n", - " 170|3.449812e-08|\n", - " 180|1.294505e-08|\n", - " 190|4.857493e-09|\n", - "It. |Err \n", - "-------------------\n", - " 200|1.822723e-09|\n", - " 210|6.839572e-10|\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "lambd = 1e-3\n", - "Gs = ot.sinkhorn(a, b, M, lambd, verbose=True)\n", - "\n", - "pl.figure(4, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, Gs, 'OT matrix Sinkhorn')\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_OT_1D_smooth.ipynb b/notebooks/plot_OT_1D_smooth.ipynb deleted file mode 100644 index 603a18c..0000000 --- a/notebooks/plot_OT_1D_smooth.ipynb +++ /dev/null @@ -1,335 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# 1D smooth optimal transport\n", - "\n", - "\n", - "This example illustrates the computation of EMD, Sinkhorn and smooth OT plans\n", - "and their visualization.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Remi Flamary \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "import ot.plot\n", - "from ot.datasets import make_1D_gauss as gauss" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 100 # nb bins\n", - "\n", - "# bin positions\n", - "x = np.arange(n, dtype=np.float64)\n", - "\n", - "# Gaussian distributions\n", - "a = gauss(n, m=20, s=5) # m= mean, s= std\n", - "b = gauss(n, m=60, s=10)\n", - "\n", - "# loss matrix\n", - "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)))\n", - "M /= M.max()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot distributions and loss matrix\n", - "----------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "G0 = ot.emd(a, b, M)\n", - "\n", - "pl.figure(3, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, G0, 'OT matrix G0')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Solve Sinkhorn\n", - "--------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It. |Err \n", - "-------------------\n", - " 0|2.821142e-01|\n", - " 10|7.695268e-02|\n", - " 20|1.112774e-02|\n", - " 30|1.571553e-03|\n", - " 40|2.218100e-04|\n", - " 50|3.130527e-05|\n", - " 60|4.418267e-06|\n", - " 70|6.235716e-07|\n", - " 80|8.800770e-08|\n", - " 90|1.242095e-08|\n", - " 100|1.753030e-09|\n", - " 110|2.474136e-10|\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "lambd = 2e-3\n", - "Gs = ot.sinkhorn(a, b, M, lambd, verbose=True)\n", - "\n", - "pl.figure(4, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, Gs, 'OT matrix Sinkhorn')\n", - "\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Solve Smooth OT\n", - "--------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "lambd = 2e-3\n", - "Gsm = ot.smooth.smooth_ot_dual(a, b, M, lambd, reg_type='kl')\n", - "\n", - "pl.figure(5, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, Gsm, 'OT matrix Smooth OT KL reg.')\n", - "\n", - "pl.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "lambd = 1e-1\n", - "Gsm = ot.smooth.smooth_ot_dual(a, b, M, lambd, reg_type='l2')\n", - "\n", - "pl.figure(6, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, Gsm, 'OT matrix Smooth OT l2 reg.')\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_OT_2D_samples.ipynb b/notebooks/plot_OT_2D_samples.ipynb deleted file mode 100644 index d5967bd..0000000 --- a/notebooks/plot_OT_2D_samples.ipynb +++ /dev/null @@ -1,372 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# 2D Optimal transport between empirical distributions\n", - "\n", - "\n", - "Illustration of 2D optimal transport between discributions that are weighted\n", - "sum of diracs. The OT matrix is plotted with the samples.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Remi Flamary \n", - "# Kilian Fatras \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "import ot.plot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 50 # nb samples\n", - "\n", - "mu_s = np.array([0, 0])\n", - "cov_s = np.array([[1, 0], [0, 1]])\n", - "\n", - "mu_t = np.array([4, 4])\n", - "cov_t = np.array([[1, -.8], [-.8, 1]])\n", - "\n", - "xs = ot.datasets.make_2D_samples_gauss(n, mu_s, cov_s)\n", - "xt = ot.datasets.make_2D_samples_gauss(n, mu_t, cov_t)\n", - "\n", - "a, b = np.ones((n,)) / n, np.ones((n,)) / n # uniform distribution on samples\n", - "\n", - "# loss matrix\n", - "M = ot.dist(xs, xt)\n", - "M /= M.max()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Cost matrix M')" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1)\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.legend(loc=0)\n", - "pl.title('Source and target distributions')\n", - "\n", - "pl.figure(2)\n", - "pl.imshow(M, interpolation='nearest')\n", - "pl.title('Cost matrix M')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute EMD\n", - "-----------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'OT matrix with samples')" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "G0 = ot.emd(a, b, M)\n", - "\n", - "pl.figure(3)\n", - "pl.imshow(G0, interpolation='nearest')\n", - "pl.title('OT matrix G0')\n", - "\n", - "pl.figure(4)\n", - "ot.plot.plot2D_samples_mat(xs, xt, G0, c=[.5, .5, 1])\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.legend(loc=0)\n", - "pl.title('OT matrix with samples')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute Sinkhorn\n", - "----------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# reg term\n", - "lambd = 1e-3\n", - "\n", - "Gs = ot.sinkhorn(a, b, M, lambd)\n", - "\n", - "pl.figure(5)\n", - "pl.imshow(Gs, interpolation='nearest')\n", - "pl.title('OT matrix sinkhorn')\n", - "\n", - "pl.figure(6)\n", - "ot.plot.plot2D_samples_mat(xs, xt, Gs, color=[.5, .5, 1])\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.legend(loc=0)\n", - "pl.title('OT matrix Sinkhorn with samples')\n", - "\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Emprirical Sinkhorn\n", - "----------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Warning: numerical errors at iteration 0\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/rflamary/PYTHON/POT/ot/bregman.py:363: RuntimeWarning: divide by zero encountered in true_divide\n", - " v = np.divide(b, KtransposeU)\n", - "/home/rflamary/PYTHON/POT/ot/plot.py:90: RuntimeWarning: invalid value encountered in double_scalars\n", - " if G[i, j] / mx > thr:\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# reg term\n", - "lambd = 1e-3\n", - "\n", - "Ges = ot.bregman.empirical_sinkhorn(xs, xt, lambd)\n", - "\n", - "pl.figure(7)\n", - "pl.imshow(Ges, interpolation='nearest')\n", - "pl.title('OT matrix empirical sinkhorn')\n", - "\n", - "pl.figure(8)\n", - "ot.plot.plot2D_samples_mat(xs, xt, Ges, color=[.5, .5, 1])\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.legend(loc=0)\n", - "pl.title('OT matrix Sinkhorn from samples')\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_OT_L1_vs_L2.ipynb b/notebooks/plot_OT_L1_vs_L2.ipynb deleted file mode 100644 index d6a8761..0000000 --- a/notebooks/plot_OT_L1_vs_L2.ipynb +++ /dev/null @@ -1,384 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# 2D Optimal transport for different metrics\n", - "\n", - "\n", - "2D OT on empirical distributio with different gound metric.\n", - "\n", - "Stole the figure idea from Fig. 1 and 2 in\n", - "https://arxiv.org/pdf/1706.07650.pdf\n", - "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Remi Flamary \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "import ot.plot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Dataset 1 : uniform sampling\n", - "----------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "n = 20 # nb samples\n", - "xs = np.zeros((n, 2))\n", - "xs[:, 0] = np.arange(n) + 1\n", - "xs[:, 1] = (np.arange(n) + 1) * -0.001 # to make it strictly convex...\n", - "\n", - "xt = np.zeros((n, 2))\n", - "xt[:, 1] = np.arange(n) + 1\n", - "\n", - "a, b = ot.unif(n), ot.unif(n) # uniform distribution on samples\n", - "\n", - "# loss matrix\n", - "M1 = ot.dist(xs, xt, metric='euclidean')\n", - "M1 /= M1.max()\n", - "\n", - "# loss matrix\n", - "M2 = ot.dist(xs, xt, metric='sqeuclidean')\n", - "M2 /= M2.max()\n", - "\n", - "# loss matrix\n", - "Mp = np.sqrt(ot.dist(xs, xt, metric='euclidean'))\n", - "Mp /= Mp.max()\n", - "\n", - "# Data\n", - "pl.figure(1, figsize=(7, 3))\n", - "pl.clf()\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.axis('equal')\n", - "pl.title('Source and target distributions')\n", - "\n", - "\n", - "# Cost matrices\n", - "pl.figure(2, figsize=(7, 3))\n", - "\n", - "pl.subplot(1, 3, 1)\n", - "pl.imshow(M1, interpolation='nearest')\n", - "pl.title('Euclidean cost')\n", - "\n", - "pl.subplot(1, 3, 2)\n", - "pl.imshow(M2, interpolation='nearest')\n", - "pl.title('Squared Euclidean cost')\n", - "\n", - "pl.subplot(1, 3, 3)\n", - "pl.imshow(Mp, interpolation='nearest')\n", - "pl.title('Sqrt Euclidean cost')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Dataset 1 : Plot OT Matrices\n", - "----------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "G1 = ot.emd(a, b, M1)\n", - "G2 = ot.emd(a, b, M2)\n", - "Gp = ot.emd(a, b, Mp)\n", - "\n", - "# OT matrices\n", - "pl.figure(3, figsize=(7, 3))\n", - "\n", - "pl.subplot(1, 3, 1)\n", - "ot.plot.plot2D_samples_mat(xs, xt, G1, c=[.5, .5, 1])\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.axis('equal')\n", - "# pl.legend(loc=0)\n", - "pl.title('OT Euclidean')\n", - "\n", - "pl.subplot(1, 3, 2)\n", - "ot.plot.plot2D_samples_mat(xs, xt, G2, c=[.5, .5, 1])\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.axis('equal')\n", - "# pl.legend(loc=0)\n", - "pl.title('OT squared Euclidean')\n", - "\n", - "pl.subplot(1, 3, 3)\n", - "ot.plot.plot2D_samples_mat(xs, xt, Gp, c=[.5, .5, 1])\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.axis('equal')\n", - "# pl.legend(loc=0)\n", - "pl.title('OT sqrt Euclidean')\n", - "pl.tight_layout()\n", - "\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Dataset 2 : Partial circle\n", - "--------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "n = 50 # nb samples\n", - "xtot = np.zeros((n + 1, 2))\n", - "xtot[:, 0] = np.cos(\n", - " (np.arange(n + 1) + 1.0) * 0.9 / (n + 2) * 2 * np.pi)\n", - "xtot[:, 1] = np.sin(\n", - " (np.arange(n + 1) + 1.0) * 0.9 / (n + 2) * 2 * np.pi)\n", - "\n", - "xs = xtot[:n, :]\n", - "xt = xtot[1:, :]\n", - "\n", - "a, b = ot.unif(n), ot.unif(n) # uniform distribution on samples\n", - "\n", - "# loss matrix\n", - "M1 = ot.dist(xs, xt, metric='euclidean')\n", - "M1 /= M1.max()\n", - "\n", - "# loss matrix\n", - "M2 = ot.dist(xs, xt, metric='sqeuclidean')\n", - "M2 /= M2.max()\n", - "\n", - "# loss matrix\n", - "Mp = np.sqrt(ot.dist(xs, xt, metric='euclidean'))\n", - "Mp /= Mp.max()\n", - "\n", - "\n", - "# Data\n", - "pl.figure(4, figsize=(7, 3))\n", - "pl.clf()\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.axis('equal')\n", - "pl.title('Source and traget distributions')\n", - "\n", - "\n", - "# Cost matrices\n", - "pl.figure(5, figsize=(7, 3))\n", - "\n", - "pl.subplot(1, 3, 1)\n", - "pl.imshow(M1, interpolation='nearest')\n", - "pl.title('Euclidean cost')\n", - "\n", - "pl.subplot(1, 3, 2)\n", - "pl.imshow(M2, interpolation='nearest')\n", - "pl.title('Squared Euclidean cost')\n", - "\n", - "pl.subplot(1, 3, 3)\n", - "pl.imshow(Mp, interpolation='nearest')\n", - "pl.title('Sqrt Euclidean cost')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Dataset 2 : Plot OT Matrices\n", - "-----------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "G1 = ot.emd(a, b, M1)\n", - "G2 = ot.emd(a, b, M2)\n", - "Gp = ot.emd(a, b, Mp)\n", - "\n", - "# OT matrices\n", - "pl.figure(6, figsize=(7, 3))\n", - "\n", - "pl.subplot(1, 3, 1)\n", - "ot.plot.plot2D_samples_mat(xs, xt, G1, c=[.5, .5, 1])\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.axis('equal')\n", - "# pl.legend(loc=0)\n", - "pl.title('OT Euclidean')\n", - "\n", - "pl.subplot(1, 3, 2)\n", - "ot.plot.plot2D_samples_mat(xs, xt, G2, c=[.5, .5, 1])\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.axis('equal')\n", - "# pl.legend(loc=0)\n", - "pl.title('OT squared Euclidean')\n", - "\n", - "pl.subplot(1, 3, 3)\n", - "ot.plot.plot2D_samples_mat(xs, xt, Gp, c=[.5, .5, 1])\n", - "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n", - "pl.axis('equal')\n", - "# pl.legend(loc=0)\n", - "pl.title('OT sqrt Euclidean')\n", - "pl.tight_layout()\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_UOT_1D.ipynb b/notebooks/plot_UOT_1D.ipynb deleted file mode 100644 index e0289d1..0000000 --- a/notebooks/plot_UOT_1D.ipynb +++ /dev/null @@ -1,197 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# 1D Unbalanced optimal transport\n", - "\n", - "\n", - "This example illustrates the computation of Unbalanced Optimal transport\n", - "using a Kullback-Leibler relaxation.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Hicham Janati \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "import ot.plot\n", - "from ot.datasets import make_1D_gauss as gauss" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 100 # nb bins\n", - "\n", - "# bin positions\n", - "x = np.arange(n, dtype=np.float64)\n", - "\n", - "# Gaussian distributions\n", - "a = gauss(n, m=20, s=5) # m= mean, s= std\n", - "b = gauss(n, m=60, s=10)\n", - "\n", - "# make distributions unbalanced\n", - "b *= 5.\n", - "\n", - "# loss matrix\n", - "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)))\n", - "M /= M.max()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot distributions and loss matrix\n", - "----------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(6.4, 3))\n", - "pl.plot(x, a, 'b', label='Source distribution')\n", - "pl.plot(x, b, 'r', label='Target distribution')\n", - "pl.legend()\n", - "\n", - "# plot distributions and loss matrix\n", - "\n", - "pl.figure(2, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, M, 'Cost matrix M')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Solve Unbalanced Sinkhorn\n", - "--------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# Sinkhorn\n", - "\n", - "epsilon = 0.1 # entropy parameter\n", - "alpha = 1. # Unbalanced KL relaxation parameter\n", - "Gs = ot.unbalanced.sinkhorn_unbalanced(a, b, M, epsilon, alpha, verbose=True)\n", - "\n", - "pl.figure(4, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, Gs, 'UOT matrix Sinkhorn')\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_UOT_barycenter_1D.ipynb b/notebooks/plot_UOT_barycenter_1D.ipynb deleted file mode 100644 index 0ef7f62..0000000 --- a/notebooks/plot_UOT_barycenter_1D.ipynb +++ /dev/null @@ -1,342 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# 1D Wasserstein barycenter demo for Unbalanced distributions\n", - "\n", - "\n", - "This example illustrates the computation of regularized Wassersyein Barycenter\n", - "as proposed in [10] for Unbalanced inputs.\n", - "\n", - "\n", - "[10] Chizat, L., Peyré, G., Schmitzer, B., & Vialard, F. X. (2016). Scaling algorithms for unbalanced transport problems. arXiv preprint arXiv:1607.05816.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Hicham Janati \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "# necessary for 3d plot even if not used\n", - "from mpl_toolkits.mplot3d import Axes3D # noqa\n", - "from matplotlib.collections import PolyCollection" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# parameters\n", - "\n", - "n = 100 # nb bins\n", - "\n", - "# bin positions\n", - "x = np.arange(n, dtype=np.float64)\n", - "\n", - "# Gaussian distributions\n", - "a1 = ot.datasets.make_1D_gauss(n, m=20, s=5) # m= mean, s= std\n", - "a2 = ot.datasets.make_1D_gauss(n, m=60, s=8)\n", - "\n", - "# make unbalanced dists\n", - "a2 *= 3.\n", - "\n", - "# creating matrix A containing all distributions\n", - "A = np.vstack((a1, a2)).T\n", - "n_distributions = A.shape[1]\n", - "\n", - "# loss matrix + normalization\n", - "M = ot.utils.dist0(n)\n", - "M /= M.max()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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S0rwOx5imI/dLKMyHAVd7HUl4DbgaTh2F7R95HYmJQqEkxd1A16D3Xdxloahu293u67rs0xgTDllvuE2nE72OJLx6XOjct5hlTaim9kJJiiuA3iLSXUQSgOnAwhD3vxi4TERaux1sLgMWq+pe4JiIjHF7nd4MLKhD/MaYuqhoOu1zGSQ09zqa8PInQN8rYPPbUHbK62hMlKkxKapqGXA3ToLbBLyiqlki8qCITAEQkZEikgdcD/xdRLLcbQ8Bv8FJrCuAB91lAHcBTwHZwDbgnbB+MmNM9XZ+AUX7m17TaYWKJtRt1oRqascfSiFVXQQsqrTsl0GvV3B6c2hwuWeAZ6pYngkMrE2wxpgwyXod4pOdodGaou4XQFIr53Oe3UR61ppGEfEdbYwxYRYoh00LnWuJTa3ptII/wRkkfMsia0I1tWJJ0ZhYs/NzKCpwJudtyvpfDaeOwbYlXkdiooglRWNiTVNvOq3QI6gJ1ZgQWVI0JpaUl8HGiqbTZK+jaVi+eGeQ882LoLTY62hMlLCkaEws2fk5nDjQdHudVjbgKig5bk2oJmSWFI2JJVmvQ3xzZ1aMWND9AmjW2ppQTcgsKRoTK8rLnF6nZ09q+k2nFSqaULcsgtKTXkdjooAlRWNiRc5ncOJg7DSdVhhwNZQUQvaHXkdiooAlRWNiRdbrzsz0vS7xOpLGlTEemrWxJlQTEkuKxsSC8jLY9KYzb2J8M6+jaVw+v9OEuvVda0I1NbKkaEwsyPkUTh6KvabTCv9qQv3A60hMhLOkaEws+FfT6QSvI/FGxvmQ3NaaUE2NLCka09SVlzpNp2dPjr2m0woVTahbrAnVnJklRfMNgYDyydYCnvx0O7uP2B+QqLfjUzh5OHabTisMuBpKi+Cr972OxESwkKaOMrHh6IlSXl25i38s3UnOwRMA/O6dTVzSrwMzx2YwtmdbnDmhTVTJeg0SWkDPGG06rdDtPEhu53wf/ad4HY2JUJYUDQCrcw9z09PLKTxVxvBurbnn0j4M7tKKVzJ3MXfFLt7bmM8FfdJ4auYI4n3WwBA1yk45Tad9L4f4JK+j8ZbPD/2nwpqX4FQhJKZ4HZGJQCH9dRORSSKyRUSyReS+KtYnishcd/0yEclwl98gImuCHgERGequ+9jdZ8W69uH8YCZ0e46c5I7nV9K6eTxv/dt5zP/+WKYO7Uz3ds25d1JfvrjvYh74Vj8+2VrAg29u9DpcUxvblkDxURh4rdeRRIaB10LZSef2DGOqUGNSFBEf8BgwGegPzBCR/pWK3QYcVtVewCPA7wFU9UVVHaqqQ4GbgB2quiZouxsq1qvq/jB8HlNLJ0rKuOP5TIpLy3l65kgGdk79RpmkeB93jO/BneN78MLSnbzwZU6jx2nqaMN8Z+zPnhd5HUlkSD8XWnRyvhdjqhBKTXEUkK2q21W1BJgDTK1UZiow2309D5gg37z4NMPd1kSIQED5yStr2bj3GI/OGEqfDi3OWP5nk/oyoW97fv3mRj7PPtBIUZo6KznhTJvUf6ozBqiBuDgYeI3T2ebkYa+jMREolKTYGdgV9D7PXVZlGVUtA44CbSuVmQa8XGnZs27T6S+qSKIAiMgsEckUkcyCgoIQwjWhenTJV7yzYR8/n9yPi/t2qLG8L0740/Sh9Exrzl0vriLnQFEjRGnqbOu7Tm9Lazo93cBrIFAKm9/2OhITgRqlx4SIjAZOqOqGoMU3qOog4Hz3cVNV26rqE6o6QlVHpKWlNUK0sWF7QSH/b0k2V5/TmdvP7x7ydi2S4nl65kgCqvzmLbu+GNE2zIeUs6DbOK8jiSydhkHr7rB+nteRmAgUSlLcDXQNet/FXVZlGRHxA6nAwaD106lUS1TV3e7zceAlnGZa00j+970tJPnjeODyfrW+zaJrm2TuurAXH27ez7LtB2vewDS+4qNOE+GAqyHO53U0kUXEqT3v+AQKrfXJnC6UpLgC6C0i3UUkASfBLaxUZiEw0319HbBEVRVAROKAbxN0PVFE/CLSzn0dD1wBbMA0itW5h1m0fh93jO9Bu5TEOu3j1nEZnNUyiYfe3Yz7T20iyea3ofyUNZ1WZ+C1oAHY+IbXkZgIU2NSdK8R3g0sBjYBr6hqlog8KCIVd8A+DbQVkWzgx0DwbRvjgV2quj1oWSKwWETWAWtwappP1vvTmBqpKg+9s5l2KQncfn6POu8nKd7HPZf2ZnXuERZn5YcxQhMWG+ZDq3ToMsLrSCJTh/6Q1g82vOZ1JCbChHTzvqouAhZVWvbLoNfFwPXVbPsxMKbSsiJgeC1jNWHw8dYClu04xINTB5CSWL+xG64d1oUnP9vBHxZv5pJ+7fHbTf2RoeggbPsIxv3QaSo0VRt0LSz5LRzdDamV+w6aWGV/xWJIIKD8/p3NdGubzPSR6fXen98Xx88mns32giJeXZkXhghNWGS9BlpuTac1qfh+1r/qbRwmolhSjCEL1u5m877j/MdlZ5PgD88//aX9OzC8W2seeX8rJ0vKw7JPU09r50D7AXDWIK8jiWxtekCXUbBuLth1ceOypBgjVJW/fbydvme14PJBHcO2XxHhPy47m/3HT/H66sqdkk2jO5ANuzNhyDSvI4kOQ6bB/o2wb73XkZgIYUkxRny57SBb8o/z3fO6ExcX3utMY3q0oX/Hljz3xQ7rieq1dXMBgUFVXuI3lQ24BuLi3e/NGEuKMeOZz3No2zyBKUM6hX3fIsKt4zLYml/I59l236JnAgFYNwd6XAgtw//v3CQlt4E+E2HdK1Be5nU0JgJYUowBOw8W8eHmfL4zOp2k+Ia5kfvKIZ1o2zyBZz/f0SD7NyHYtRSO5MKQ6V5HEl2GTIei/bD9Y68jMRHAkmIMeO6LHPxxwo1jujXYMZLifdwwphtLtuy3MVG9snYOxCdD3yu8jiS69L4MklrB2spDM5tYZEmxiTteXMqrmXlcPqgjHVo27CSzN45Jxx8nPPdFToMex1ShtBiy3oB+U2zy3NryJzq3Z2x+G4qPeR2N8ZglxSZu3so8Ck+Vceu40Af9rqv2LZK4YnAn5q3M43hxaYMfzwTZ+g6cOmq9TutqyHRn8uFNlUewNLHGkmITFggos7/IYVh6K4Z0bdUox7x1XAaFp8p4NdNu5m9Ua+dCi47Q/QKvI4lOXUY69y2utSlfY50lxSbsk60F5Bw80Si1xAqDu7RieLfWPP9lDoGA3Z7RKAr3Q/b7zm0YNiNG3YjA4OmQ8084vNPraIyHLCk2YS8tz6VdSgITB5zVqMe9cUw6OQdPsNSmlWoca16EQBmcU+WUpCZUQ7/jPK9+wds4jKcsKTZR+ceKWbJ5P9cN7xq2Id1CNXlgR1KbxfPS8txGPW5MCgRg1fOQPhbS+ngdTXRr1RV6XQKr/2H3LMYwS4pN1KuZuygPKNNHdq25cJglxfu4+pzOvJeVz6GikkY/fkzJ+QwObYfht3gdSdMw/BY4vtdpjjYxyZJiExQIKHMzd3Fuj7ZktGvuSQwzRqVTUh7gtVXW4aZBrZoNSanQf0rNZU3N+kyElA6wcrbXkRiPhJQURWSSiGwRkWwRua+K9YkiMtddv0xEMtzlGSJyUkTWuI+/BW0zXETWu9s8KmITv4XL59sOsOvQSWaMrv/0UHV19lktGJbeipeW59p4qA2l6CBsetPpIBLfzOtomgZfPAy9Ab5a7MyzaGJOjUlRRHzAY8BkoD8wQ0T6Vyp2G3BYVXsBjwC/D1q3TVWHuo/vBS1/HLgD6O0+JtX9Y5hgLy/PpXVyPBMHdPA0jhmj0tleUMSKnMOextFkrZsD5SUwfKbXkTQtw24CDTgdmEzMCaWmOArIVtXtqloCzAGmViozFahob5gHTDhTzU9EOgItVXWpOtWI54Grah29+YYDhad4f2M+1wzrQqLf2+75lw/uSItEP3Osw034qTpNfJ1HQIcBXkfTtLTp4dzvueoFpyOTiSmhJMXOwK6g93nusirLqGoZcBRo667rLiKrReQTETk/qHzwxaaq9gmAiMwSkUwRySwoKAgh3Ng2f2UepeXKjFGN38GmsuQEP1PP6cTb6/dy9ISNcBNWuUvhwBarJTaU4TPhaC5sX+J1JKaRNXRHm71AuqqeA/wYeElEWtZmB6r6hKqOUNURaWlpDRJkU6GqzF2xi5EZrenVvoXX4QBOE+qpsgCvrbYON2G18jlIaOHMB2jCr+8VkNzW+Z5NTAklKe4GgqsdXdxlVZYRET+QChxU1VOqehBAVVcC24A+bvkuNezT1NLS7YfYfqCI6SO962BT2YBOqQzuksqc5busw024HM+HrNec8Tpt8O+G4U90BkPY/LaNcBNjQkmKK4DeItJdRBKA6UDlUXMXAhXtONcBS1RVRSTN7aiDiPTA6VCzXVX3AsdEZIx77fFmYEEYPk9Mm7MilxZJfr41qKPXoZxm+sh0tuQfZ/WuI16H0jRkPu10sBnzfa8jadpGzQIElj/hdSSmEdWYFN1rhHcDi4FNwCuqmiUiD4pIxc1RTwNtRSQbp5m04raN8cA6EVmD0wHne6p6yF13F/AUkI1Tg3wnTJ8pJh05UcI7G/ZxzTmdaZYQWeNfThnaieQEn3W4CYfSYljxNPSZBG17eh1N05baGQZc5XS4OXXc62hMI/GHUkhVFwGLKi37ZdDrYuD6KrabD8yvZp+ZwMDaBGuq99qq3ZSUBZg+KnKaTiukJPq5cnAnFq7dwy+u6E+LpHivQ4peG+bBiQNWS2wsY+6CDfNhzUsw+k6vozGNwEa0aQJUlZeX5zKkayv6daxVP6ZGM2N0OidLy1mwZo/XoUQvVVj6OLQfYFNENZYuI5xppZY+brdnxAhLik3AqtzDfLW/kBkejHMaqiFdUul7VgvmrLAm1DrL+QzyNzi1RBsAqvGMuQsO73BGuTFNniXFJuDl5btonuDjyiGdvA6lWiLCjFHpbNh9jA27j3odTnT68q/ObQKDvnGlwjSkflOgZRf48jGvIzGNwJJilDtWXMpb6/YwZWhnmieGdInYM1cN7UyiP46XrcNN7R3cBlvfhRG3QXyS19HEFp8fRt3h1NT3rfc6GtPALClGuQWrd1NcGoiIEWxqkpocz+WDOrJgzR6KTtl8dbXy+Z+dwapH3uZ1JLFp+EyIbw7//JPXkZgGZkkxiqkqLy7LpX/HlgzqnOp1OCGZMTqdwlNlLFxrHW5CdninMzj1sJnQ4iyvo4lNzVo7tcUN86Fgi9fRmAZkSTGKLdtxiM37jjNzbDeiZeatEd1a0/esFsz+IsdGuAnVPx8GiYPz7vE6ktg29t+cKbo+/aPXkZgGZEkxis3+IodWyfFMHVrlWOoRSUS4ZWwGm/cdZ/mOQzVvEOuO5MLqF2HYzc7N5MY7zdsF1Ra3eh2NaSCWFKPUniMneW9jPtNGdiUpPrJGsKnJ1KGdSW0Wz+wvc7wOJfJ99rDzbLXEyDD2h+BPstpiE2ZJMUq9uGwnqsqNo7t5HUqtNUvwMW1kVxZn5bPnyEmvw4lcR3bB6n84k96mdqm5vGl4zds5nZ02zIMD2V5HYxqAJcUoVFxazsvLdzGhXwe6tkn2Opw6uWlMNwKqvLTMbs+o1j8fcZ7P+7G3cZjTjf0h+BKttthEWVKMQm+t28uhohJuGZvhdSh11rVNMhP6duDl5bkUl5Z7HU7kObwTVr8A59wIrSL/dpuYktLeqS2uf8V6ojZBlhSjjKoy+4scerdPYWzPtl6HUy+3jM3gYFEJb6/b63Uokef9X0CcH8b/1OtITFXOu8eZ5Pnd+50xaU2TYUkxyqzKPcL63Ue5eWxG1NyGUZ1xvdrSq30Ks7+02zNOk/NP2LjA+cNrPU4jU/N2cOG9sO1D+Oo9r6MxYWRJMcr87ZNtpDaL55pzov+PpYhw67gM1uUd5cttB70OJzIEyuGd+yC1q3NfnIlcI++Atr1g8c+hrMTraEyYWFKMIpv2HuP9jfl8d1z3iB/nNFTXDutCh5aJPLrkK69DiQyrnof89XDpg86N4iZy+RNg4u/gYDYsf8LraEyYhJQURWSSiGwRkWwRua+K9YkiMtddv0xEMtzll4rIShFZ7z5fHLTNx+4+17iP9uH6UE3VXz7KJiXRH9UdbC0fy1UAABHNSURBVCpLivcxa3xPlm4/xIqcGL+Z/+QRWPJbSB8LA672OhoTij6XQa9L4JM/QGGB19GYMKgxKYqID3gMmAz0B2aISP9KxW4DDqtqL+AR4Pfu8gPAlao6CJgJvFBpuxtUdaj72F+Pz9HkZe8/zqL1e5k5thupyU1r5vrvjEqnXUoCj34Y47XFT/8IJw7C5IdsvsRoMvF/oLQIlvzG60hMGIRSUxwFZKvqdlUtAeYAUyuVmQrMdl/PAyaIiKjqalWtGPk5C2gmIonhCDzWPPbRNpL8Pm47r4fXoYRdswQft5/fg8++OsCaXUe8Dscbu1bA0r86szF0HOJ1NKY20s6G0d+DVbNh+ydeR2PqKZSk2BnYFfQ+z11WZRlVLQOOApXvF7gWWKWqp4KWPes2nf5CqulKKSKzRCRTRDILCmKzeWLnwSIWrNnNjWPSadM8wetwGsSNY7rRKjmev8TitcWSE/DG96BlZ7jUahtR6aIHoE1PWPADKD7mdTSmHhqlo42IDMBpUr0zaPENbrPq+e7jpqq2VdUnVHWEqo5IS0tr+GAj0F8/2obfF8cd45teLbFCSqKf747rzgeb9pO156jX4TSuDx90OmtMfQySWnodjamLhGS4+u9wbDcsvt/raEw9hJIUdwPBQ2p0cZdVWUZE/EAqcNB93wV4HbhZVbdVbKCqu93n48BLOM20ppKcA0XMX5XHjJFdad+iac+4PnNsBi0S/TzyfgzNQLDjU1j2OIy6E3pc4HU0pj66joRx/+6MV7vlXa+jMXUUSlJcAfQWke4ikgBMBxZWKrMQpyMNwHXAElVVEWkFvA3cp6qfVxQWEb+ItHNfxwNXABvq91Gapgff2kiiP44fXNTL61AaXGqzeL53YU8+2LSfT7bGQFN58TF44wdOs9slv/Y6GhMOF94H7QfAmz+EEzHemzpK1ZgU3WuEdwOLgU3AK6qaJSIPisgUt9jTQFsRyQZ+DFTctnE30Av4ZaVbLxKBxSKyDliDU9N8MpwfrClYsjmfJZv386NLetO+ZdOuJVa4/fzuZLRN5r8WZlFSFvA6nIajCm/+CI7lwdV/c5rfTPTzJzr/nicOwRvfdwZjMFFFoml4rREjRmhmZqbXYTSKU2XlTHzkU3xxwjs/Gk+CP3bGWfho835ufW4F90/uy50X9PQ6nIbx6f86Xfgn/ArOt1kwmpxlT8A7P3VmOLnkV15HYyoRkZWqOqKqdbHzlzbKPPXZDnIOnuDXUwbEVEIEuKhveyb0bc+jH35F/rFir8MJv81vOwlx0Ldt8uCmatQdMPwW+OfDsH6e19GYWoitv7ZRYs+Rk/xlSTYTB3Tg/N6x2eP2l1f2p7Rc+d2iTV6HEl75WfDaLOg0DKY8ajfpN1UiMPmPzuhEC34Au1d6HZEJkSXFCKOq/OatjQRU+c/LKw8cFDu6tW3OrPE9eGPNHr7YdsDrcMKjcD+8PAMSUmD6iza2aVPnT4BpL0Dz9jDnBjia53VEJgSWFCPMS8tzeWfDPn50SW+6tontzhd3XdST7u2ac8/cNRwoPFXzBpHseD48dwUUFTgJsWUnryMyjaF5O5jxMpQUwXOXw5FdNW9jPGVJMYJs2H2U/1q4kQv6pPG98U20g0ktJCf4eew7wzh8opR75q6hPBA9ncJOc3yf8wfxaB7cMA+6VHl93zRVZw2Em153eqQ+dzkcyfU6InMGlhQjxLHiUu56cRVtUxJ4ZNpQ4uLsWhNA/04teXDKAD776gCPfZTtdTi1d2yP84fw+F64cR5kjPM6IuOFLiPg5jecmVCeuxwO7/Q6IlMNS4oRQFX52avrnA423zmnyY5vWlfTRnblmnM688gHW/k8O4quL+ZnwbOTnZrijfOh21ivIzJe6jzcSYzFR53zYs9qryMyVbCkGAH+siSbd7P2ce+kvgzv1sbrcCKOiPDbqwfSKy2FH81ZzfaCQq9Dqtn6efDUJVB6Em5eAOljvI7IRILOw2DmW4DA0xNh9YteR2QqsaTosT9/8BX/9/5WrhraidvP7+51OBErOcHP4zcORxWmPbGU7P3HvQ6pauVlsPgBmH8bnDUY7vzUriGa03UcDHd+AumjYcFd8PZPoKzE66iMy5KiR1SVh9/bwiMfbOWaYZ35v28PpZrZs4yrV/sU5swagypMf2IpW/ZFWGLctx6emQhf/gVGzYKZb0KLs7yOykSi5u3gxtdh7A9hxVPw1AS7lzFCWFL0gKryh8VbeHRJNtNGdOWP1w3BZx1rQtK7Qwvm3jkGX5ww48mlbNwTAXPXnSp0aod/vwAO58C1T8O3/ujcp2ZMdXx+uOw3MO1F5x7WJyfAop861xyNZywpNrL9x4u5fXYmj3+8jRtGp/O7awZZQqylnmkpzJ11Lon+OK59/Av+sXQnnozhW1YCq16Av45xaofn3Ah3r4BB1zV+LCZ69bsC7l7uDA23/En4yyhY8TSUNsEhDqOADQjeiN7dsJf7X1vPiZJy7p3Ul1vHZViTaT3sO1rMT+et5bOvDnDh2Wn84drBjTObSEkRrHoevvh/zqSyHYfA5D9YZxpTf7tXwTs/g7wVkNIBzr0bRtwKiS28jqxJOdOA4JYUG0H2/kIe/fArFq7dw6DOqTwybQi92ttJHg6qygtLd/I/izaRFO/jJ5f24foRXUmK94X7QM4fqrVzIOs1OHkYuo1zZrjoOcHGMDXho+pMPv3Z/8GOTyAxFQZcBYOnQfq5EGcNfPVlSdEjq3MP87dPtvHexnwSfHHceUFP/u3iXsT77KQOt20Fhdw3fx0rcg7TtnkCt47L4KYxGaQmx9d9p6XFsGspbPsINr7hXC/0N4O+34KRd0C3c8MWvzFVylsJy/8Om96C0iJITYf+U6DnxU6CtHk466TeSVFEJgF/BnzAU6r6UKX1icDzwHDgIDBNVXPcdfcDtwHlwA9VdXEo+6xKpCfFQEDZsOcoH2zaz4eb8snac4yWSX5mjs1g5tgM2qUkeh1ik6aqLN9xiMc/2cbHWwpoFu/jgj5pTOjXnov6tj/z96/qNIXuXes8di2H3C+hrBji/E6tcMh06HsFJLVsvA9lDDhN9pvfhnVzYfsnECgFX6JzW0fX0U4TfschkNrVWi1CUK+kKCI+YCtwKZAHrABmqOrGoDJ3AYNV9XsiMh24WlWniUh/4GVgFNAJ+ADo4252xn1WJZKSYnFpOXuOnGRr/nE27j3Opr3HWLPrCAXHTxEnMCy9NZMHdWTayK6kJPq9DjfmbNxzjH8s28mSTfvZd6yYOAkw+qw4RrYtZUDLE/RqVkiHwH6aF+5EDufAwWw4ecjZWOIgrR/0uAB6XOiMRGPXdEykKCmCnV/C9o+c5tX8jaDlzrqkVtC2F7TpDm16QKtu0KIDtOgIKWdBs9bW/Er9k+K5wK9VdaL7/n4AVf1dUJnFbpkvRcQP7APSgPuCy1aUczc74z6rEo6kuG3DCg7v3Y4CAVVUnefygBIIKGWqlJYFKC1XSgMBSkoDnCgt50RJGSdLyjlWXMbhohIKT5UFfUdwVsskurVtzqDOqQzukkqLpHo020WKWjWtVyp72rZaaZm6r4OWa+Dr5RoIei6HQPnXz4Fy51dyecWjxKnNlZ1ynktPOH80SgrhVCFafITyosPEnTpKHIHTQgyosI827PV15FBiF/Kb9eZAi74cS+1LYnIKSX4fSfFxJPrjiPfHER8Xhy9O8PuEOKl4OCPuiIDgvub0H+uVf7g7JaphP/JNLcWVFdP86BZaHMoi5cgmmh3PpVnhTpKK9iCV/l+qxFEW35LShJaUJaRSHp9CmT+Zcn8yAX8yAV8CgbhE9zkBjfP/61nF5z7i4F+vBSTOWeaevMGvnZNf0H+9r4gk+EQ//aTXM9R0E5NT6Tt6Yl2/qq+PeIakGEoVpjMQPN9JHjC6ujKqWiYiR4G27vKllbbt7L6uaZ8Vwc8CZgGkp6eHEO6ZHfj4r4w+8Fq990PlW9BO4nyKPGBZ/XdvQiXgTwJ/ovNIaO484ptDs9ZImx74m7VyfkEnt0VTOnDY14atJ5qzrTiV3YXKvmPF5B8r5ujJUo4VlHFs1yEKi/dTFq2zcpgY1dt9OBIopaMcpD1HaC9HaC+HaS3HSS0totXJIlIpIlkO0Zw9JFNMspwimVIS3UecRN75n+3rCWFIimcS8e16qvoE8AQ4NcX67i/jynvZcfgWRHB/5YNPnBqAL06Ii4MEn494n5Dgi7NbJmpTdflG0aqqS6f/gvzX8opflyIgPue9+yuUOJ9zXU/cZ58f4uLBF+8uDz1GAdoAY9zHmZSVBygpD1BcGqC0PEBZQClzn1WVgOK0MLgtDuBWcIN+nVeubJ/pBI6mTm+m6ShxH0eCF6qCliGBMiRQ6j6XIRpwlweAgPvefXZbepzXOO/RoJNeKz2DfOOcP/P/gfhmzevyEWsllKS4G+ga9L6Lu6yqMnlu82kqToebM21b0z4bRIdufaFb38Y4lIlyfl8cfl8cyTYwjTExI5QrriuA3iLSXUQSgOnAwkplFgIz3dfXAUvU+dm7EJguIoki0h2nbr88xH0aY4wxjarGmqJ7jfBuYDHO7RPPqGqWiDwIZKrqQuBp4AURyQYO4SQ53HKvABuBMuAHqk43qar2Gf6PZ4wxxoTObt43xhgTU87U+9RuWDHGGGNclhSNMcYYV1Q1n4pIAbAzDLtqBxwIw36aOvueQmPfU+jsuwqNfU+hqev31E1V06paEVVJMVxEJLO69mTzNfueQmPfU+jsuwqNfU+haYjvyZpPjTHGGJclRWOMMcYVq0nxCa8DiBL2PYXGvqfQ2XcVGvueQhP27ykmrykaY4wxVYnVmqIxxhjzDZYUjTHGGFfMJUURmSQiW0QkW0Tu8zqeSCEiXUXkIxHZKCJZIvIjd3kbEXlfRL5yn1t7HWskEBGfiKwWkbfc991FZJl7Xs11B7qPaSLSSkTmichmEdkkIufa+fRNInKP+39ug4i8LCJJdj6BiDwjIvtFZEPQsirPH3E86n5f60RkWF2PG1NJUUR8wGPAZKA/MENE+nsbVcQoA36iqv1xphr8gfvd3Ad8qKq9gQ/d9wZ+BGwKev974BFV7QUcBm7zJKrI8mfgXVXtCwzB+b7sfAoiIp2BHwIjVHUgzgQJ07HzCeA5YFKlZdWdP5P5epblWcDjdT1oTCVFYBSQrarbVbUEmANM9TimiKCqe1V1lfv6OM4fsM44389st9hs4CpvIowcItIFuBx4yn0vwMXAPLdIzH9PIpIKjMeZQQdVLVHVI9j5VBU/0MydizYZ2IudT6jqpzizLgWr7vyZCjyvjqVAKxHpWJfjxlpS7AzsCnqf5y4zQUQkAzgHWAZ0UNW97qp9QAePwookfwJ+BlRMMd4WOKKqZe57O6+gO1AAPOs2Mz8lIs2x8+k0qrob+F8gFycZHgVWYudTdao7f8L2tz3WkqKpgYikAPOBf1fVY8Hr3ImjY/oeHhG5Ativqiu9jiXC+YFhwOOqeg5QRKWmUjufwL0mNhXnR0QnoDnfbDI0VWio8yfWkuJuoGvQ+y7uMgOISDxOQnxRVV9zF+dXNEO4z/u9ii9CjAOmiEgOTvP7xTjXzlq5zV9g5xU4v9TzVHWZ+34eTpK08+l0lwA7VLVAVUuB13DOMTufqlbd+RO2v+2xlhRXAL3dnl0JOBe0F3ocU0Rwr4s9DWxS1YeDVi0EZrqvZwILGju2SKKq96tqF1XNwDl/lqjqDcBHwHVuMfueVPcBu0TkbHfRBGAjdj5VlguMEZFk9/9gxfdk51PVqjt/FgI3u71QxwBHg5pZayXmRrQRkW/hXBPyAc+o6n97HFJEEJHzgM+A9Xx9reznONcVXwHScabt+raqVr74HZNE5ELgP1T1ChHpgVNzbAOsBm5U1VNexuc1ERmK0xkpAdgO3IrzQ9zOpyAi8l/ANJwe4KuB23Guh8X0+SQiLwMX4kwPlQ/8CniDKs4f9wfFX3Cank8At6pqZp2OG2tJ0RhjjKlOrDWfGmOMMdWypGiMMca4LCkaY4wxLkuKxhhjjMuSojHGGOOypGiMMca4LCkaY4wxrv8Plem1r3vSaToAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# plot the distributions\n", - "\n", - "pl.figure(1, figsize=(6.4, 3))\n", - "for i in range(n_distributions):\n", - " pl.plot(x, A[:, i])\n", - "pl.title('Distributions')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Barycenter computation\n", - "----------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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pdLHaPA3BYTB3hNORqBymCSqXe/q7tWw+lMgbvRpSq0zBy9qXiDCyS23aXBnJiOnrWbXnuIeiVBdkDMx6EkLzw7XDnY7GtxQoCa0fg00zYdsCp6NROUgTVC42Y/V+pq/az4PXVqPNlSU8ss+Q4CAm9GhAyQJ5GPLNKk4np3pkv+oCNv9sP3zbDIP8xZ2Oxvc0vx+KVIKfh9pp71VA0ASVSx1IOMPw79bSoHxh7m9TxaP7LpQ3lFdurc/O+FOM+WmjR/etMpGSBLOfgsia0Li/09H4ppA80GEsHNkMy99zOhqVQzRB5UIul+Gxb1eT6jKMvzWKkGDP/xlbVCnO3a0q8fmy3SzcfNjj+1fpLH3dzoHUcSwE631oWare3nY7/2UsnNRzMhBogsqFPlmyk9+3xvPMDbWoWDy/18p5rP2V1ChVgCemrOHoqWSvlRPQEvbCr69Cza5Q+Rqno/FtItDhBUg5o6OdBwhNULnMjiOneHHWJtrWKEGPxuW8WlaekGDG3xZFwukURkxf59WyAtasoWBcdrQEdWHFq9k5o1Z+DruWOh2N8jJNULmIMYZh09YSFhLECzfXzZGx82qWLsgD11Zl5poDLNh0yOvlBZSNM2HjD3DNUChSweloco+rn4RC5eGHhyD1rNPRKC/KVoISkQ4isllEtorI0EzW5xGRb9zr/xCRiu7lFUXkjIiscj/e8Wz4geXbmL0s3R7PUx1rUqJgeI6Ve+/VVaheMoJnvl/PqbPaq88jkhLgp8egZF1o/oDT0eQueSLghldth4nfxjsdjfKiCyYoEQkG3gQ6ArWA20WkVobN+gPHjDFVgfHAi+nWbTPGRLkf93oo7oATl3iW53/aSJOKRb3etJeRrbHVY3/CGV6Zo6NMeMT80XDyEHSdqB0jLkW166FOd/h1HMTpOemvslODagJsNcZsN8YkA18D3TJs0w341P18CtBWdO4Gjxr1w3rOJKcx5ua6BAXl/KFtVKEIvZtW4JMlO/UG3su1+w9Y8SE0vReuaOR0NLlXh7EQms829blcTkejvCA7CeoKYE+613vdyzLdxhiTCiQAxdzrKonIShFZJCJXZVaAiAwQkRgRiYmLi7uoXyAQLNh0iJlrDvDAtVWpWiJ7g8B6wxMdrqRkgXCGTl1DSpp+IFySlCT44UEoVNYO4aMuXUQktH8edi+F2I+cjkZ5gbc7SRwAyhtjGgCPAF+KyL/G4zHGvGeMiTbGREdGRno5pNzl5NlUhn+3jmolIrj3as/ekHuxCoSHMrpbbTYdTOS9xdsdjSXXmj8K4jZBlwn2Woq6PFG9oMq1dvbhI1udjkZ5WHYS1D4g/UWPsu5lmW4jIiFAISDeGHPWGBMPYIyJBbYB1S836EAybs5mDpxIYuwt9QgLcb7TZbvapehYpxQT529hx5FTToeTu2ydD8vegiYDoep1TkfjH0Sg21t2pIlpd+swSH4mO594K4BqIlJJRMKAHsCMDNvMAPq5n3cHFhhjjIhEujtZICKVgWqAfvXOplV7jvPJkp30blqBRhWKOB3OeaO61iZPSBDDpq3F12Zk9lmnj8L3gyCyBlyvN5l6VMHS0OU12L/SjjKh/MYFE5T7mtIDwGxgIzDZGLNeREaLSFf3Zh8CxURkK7Yp71xX9NbAGhFZhe08ca8xRqfGzIaUNBdDp66hZIFwnuhwpdPh/EOJguE81bEmS7fH823sXqfD8X3G2OtOp+Ph5vch9NKnRFFZqNUVGvSG317VG3j9iPjaN+Do6GgTExPjdBiOe+uXrbw0azPv9WlEu9qlnA7nX1wuQ4/3lrH5UCLzHrmayAJ5nA7Jd8V+YnuaXT8aWj7kdDT+62wivNPK9ugbuAjyFXU6IpVNIhJrjInOuNz5ixrqX7YeTmTCvC10qF3KJ5MTQFCQMObmupxJTmPE9HXa1JeVPSvgp8ehchu9Idfb8hSAWz6Ckwdhan9wpTkdkbpMmqB8TEqai0cmryZ/WDCjb6ztdDj/qWqJCIZcX52f1x1k+qr9TofjexIPweQ+UKA0dP8IgoKdjsj/lW0EnV6xc2vpgLK5niYoH/PWwm2s2ZvA8zfVpUSBnBvO6FINaF2ZRhWKMGL6Og4mJDkdju9ITYbJfe2QRj2+1OamnNSoH0TfBb9PhHVTnY5GXQZNUD5k7d4EXl+whW5RZehUt7TT4WRLcJAw7n/1SUkzPDF1jTb1wd/Tt+9ZBt3egFJ1nI4o8HR4Eco1g+kPwMG1TkejLpEmKB+RlJLGI5NXUSwijNFdc9cHWsXi+XmqUw0W/xXHl8t3Ox2O8359BWI+sh0i6tzidDSBKSQMbp0E4YXh8+5wdIfTEalLoAnKR7zw00a2HD7Ji7fUo1C+3Dd4aO+mFWhVtTjPzdzIX4cSnQ7HOSs+gAXPQb3boO1Ip6MJbAVKQp9pkHYWPrvJXhNUuYomKB/w3cq9fLp0F/1bVeKaK0s4Hc4lCQoSxt1an/x5Qrj3s1gSkwLwjv61U+DHx6B6R+j2JgTpv5fjStSEXlPsFPGf3wxndKDj3ET/gxy28cAJnpq2liaVijK0Yw2nw7ksJQuG80bPBuw6eprHvl0dWNejNv8M3w2ECi3gfx/rFBq+pGw09PjcTsvx5a2244rKFTRBOSjhTAr3fh5LwfBQ3ujZgNDg3P/naFa5GE91rMHs9Yd4Z1GAjGq16kv4uheUqge3f6UjRfiiKtfarv77YuHjztrcl0vk/k/EXCo1zcUj36xi37EzvN27Ya7oUp5d/VtVonO90rw8exOL/vLz6VN+nwjf3weVroJ+MyC8kNMRqazU6go9v4Gj2+CjdnA0QL5A5WKaoBzgctku2fM3HebZLrVoVMG/7pEREV66pR7VSxbg3s9iid3lh8MvutJg9tMwdwTUvhl6TrYjGSjfVvU66PcDJJ2AD9vbAWaVz9IElcOMMTw7Yz3T/tzHkOuq06d5RadD8or8eUKY1L8JpQqFc8fHK1i3z4/a/RMPwaRusPQNaDIAbvnATvegcoey0XDXbPs3+7Cdnd04kK6X5iKaoHKQMYaxszbx2bJdDGhdmQfbVnU6JK8qUSCcz+9uSsHwUPp+tJwt/tD9fMev8O5VsDfGzkPU6WUdwig3iqwOAxZBpdbw4yMw9W472KzyKZqgckiayzDmp428u2g7vZqW56mONRARp8PyuisK5+Xzu5sSJELPD/5g9Z5c2s03+TTMfRYmdYU8BeGeBdCgl9NRqcuRvxj0/BbajoD10+Ddq2HHYqejUulogsoBJ5JS6P/pCt7/dQd9m1fg/7rVCYjkdE6l4vn56p6mhAUHceu7S5m+KuOEzD5u8yx4syn8PgGiesKAX6BkLaejUp4QFARXPWqvS5k0+LQLTBsIJ/28c08uofNBedmOI6fo/+kKdsefZlS32vRqWsHpkBwTf/Is933xJ8t3HGXQNVV4rN2VBAX5cKI+uBYWjoHNP9mZcG8Yb+9zUv4p5Qz8Og5+mwBh+aH14xB9p32uvCqr+aA0QXlJapqLSUt38ercvwgLCeLtXg1pWrmY02E5LjnVxcgf1vPlH7uJrlCE526qQ41SBZ0O65/2r4RFL8PmH21zXqshdi6nkDCnI1M5Ie4v+PkJ2L4Q8hWHFoOhcX/tpelFmqByUOyuYwz/fh0bD5ygdfVIxtxUh7JF8jkdlk+ZEruX53/cwImkVO5qWZGHrqtORJ4Q5wJKPgUbpsPKz2HX7/Z+pmaDoOlAyFvEubiUc3Yvg0Uvwbb59nyoe6udVr5MlNOR+R1NUF5mjGHp9ng++X0nczYcolTBcJ7tUosOdUoF1PWmi3HsVDIvzd7EV8v3UDwiD32bV6Bn0/IUj8ihLtvJp2D7ItuEt/57SE6EopWhYV87n5DedKvA9thc9jZs/MEOPFuqrh2lvnoH2/Sr/9+XTROUlxxIOMO8jYf5YtkuNh1MpEi+UHo3q8DAq6s4WyPIRWJ3HWPi/C0s/iuOsOAgbqhfmpsblKVJpaKEhXiwH09KEhxYBXv+sN3Fdyy2HzhhEVCzCzToY68x6QeOyszpo3YCxJWf2/MIoFB5qHYdlG8O5ZpA4Qp6/lyCy0pQItIBmAgEAx8YY8ZmWJ8HmAQ0AuKB24wxO93rngL6A2nAg8aY2f9Vli8nKGMMB08ksWH/CWJ3HWPBpsNsOmjvnahRqgB3taxE16gyhIfqfTGXYuvhk0xaupMpsXs5nZxG/rBgWlYtzlXVI6l7RSGuLFmAvGHZOLbJpyFhLxzbAXGb4PAmiNsIB9eByz3KetEqUL29fZRvodeX1MVJ2Adb5tjHjsWQfNIujyhpa1iRNeyjeHUoXN4u19Hts3TJCUpEgoG/gOuBvcAK4HZjzIZ02wwC6hlj7hWRHsBNxpjbRKQW8BXQBCgDzAOqG2PSsiovpxNUmstwJiWNM8lpJKWkcSIphYQzKSScTiH+VDIHEs5w4HgS+46f4a9DiRw7bT/ggoOE6ApFaFOjBG2uLEH1khHalHe5XC5wpXA66QzLtxxi2Zb9rNh6gITERPJxlnySTOVCQsWIVErlSSYyNIliQacokHacfCnHyJMcT+jJ/QSfif/nfiNKQeSVUKaB/ZZbtglERDrzOyr/40qDwxtszXzPCji8Ho5sgdSkv7cJDoOCV0CB0pC/OOSPtD/DC9lHnoKQJwJC89lHWH77npBw++UpOAyCQuzDDz9nskpQ2WmDagJsNcZsd+/oa6AbsCHdNt2Ake7nU4A3xH5adwO+NsacBXaIyFb3/pZe6i+SHbtG1SbYpAKQPv2ac6+MXW4ybgDkdz/KuF+L2GQUHCSEhgQRViSIsJAgwoKDCEoCVrkffuc/vric/1JjMtnMuNdn+Glc7ueuvx8uF7hS7f0nrlT3NpAPuMb9ACD9Jakz7ofbWRPKEQqyyxQk3hTkgKnHPhPJXlOcPaYEO+UKTicUIPRkEMG7hOBlgshqgoNAEEQgKN0//Lmn6T8DhH9+IPjh54PyiCruBwSFpVEq9DDlXPsoZeIoZQ5T8kQcRROOU9jsoYg5TmEubeSKVIJJI4g0gnER5H4IhiBcIoBgAJf7NlfjPn+Ne/nfJMP6rBmyPulLDF1NWB7vDHadnQR1BbAn3eu9QNOstjHGpIpIAlDMvXxZhvdekbEAERkADAAoX758dmPP0pFCdcCknT+k9gNFOHfLTZD8/cEUJEJwULokFBx0/pEnxD6CAvUT6T9/7/Sf5Bm2O7fMfdyRoL+XBQXb14j7G2GQ+1thsJ1DKSjE/gwOs2OlBeexP8Py//3NMk8BCC/EKcnPodOQkJTK8TMpnDiTgiSnUSw5jfypaVRIcdEszUWqy5Cc6sJlDC5jSHPZAXsNBmPAdf57y99fYM7J+E/ra9dslS8rRjI12Q3szmStmDTCXafJm3aSvK6ThLnOkMeVRJhJItSVRIhJIcSkEGqSCTYpBJk0gk0awaQSZFwI9rVgEHM+RYGxqUj+kZIMksm5m359VjKmtYxKebHp0ieu4htj3gPeA9vEd7n7a/TwN5cdk/J9+YHKEU5HoZTyluykvn1AuXSvy7qXZbqNiIQAhbCdJbLzXqWUUupfspOgVgDVRKSSiIQBPYAZGbaZAfRzP+8OLDC2LWQG0ENE8ohIJaAasNwzoSullPJnF2zic19TegCYje1m/pExZr2IjAZijDEzgA+Bz9ydII5ikxju7SZjO1SkAvf/Vw8+gNjY2CMisuuyfiurOHDEA/vxN3pcMqfHJXN6XDKnxyVzl3pcMh2k1Odu1PUUEYnJrNtioNPjkjk9LpnT45I5PS6Z8/Rx0TvHlFJK+SRNUEoppXySPyeo95wOwEfpccmcHpfM6XHJnB6XzHn0uPjtNSillFK5mz/XoJRSSuVimqCUUkr5JL9LUCLSQUQ2i8hWERnqdDxOEZFyIrJQRDaIyHoReci9vKiIzBWRLe6fATldrIgEi8hKEZnpfl1JRP5wnzffuG9KDygiUlhEpojIJhHZKCLN9XwBERni/h9aJyJfiUh4IJ4vIvKRiBwWkXXplmV6foj1mvv4rBGRhpdSpl8lKPfUIG8CHYFawO3uKT8CUSrwqDGmFtAMuN99LIYC840x1YD57teB6CFgY7rXLwLjjTFVgUmpASgAACAASURBVGPYOcwCzURgljGmBlAfe3wC+nwRkSuAB4FoY0wd7GAFPQjM8+UToEOGZVmdHx2xIwdVww4E/valFOhXCYp0U4MYY5KBc1ODBBxjzAFjzJ/u54nYD5srsMfjU/dmnwI3OhOhc0SkLNAZ+MD9WoBrsVPFQAAeFxEpBLTGjgqDMSbZGHMcPV/AjriT1z3OaD7gAAF4vhhjFmNHCkovq/OjGzDJWMuAwiJS+mLL9LcEldnUIP+a3iPQiEhFoAHwB1DSGHPAveogUNKhsJw0AXgCcLlfFwOOG+OeRCwwz5tKQBzwsbvp8wMRyU+Any/GmH3AK9gZMw4ACUAser6ck9X54ZHPYn9LUCoDEYkApgIPG2NOpF/nHtA3oO4zEJEbgMPGmFinY/ExIUBD4G1jTAPgFBma8wL0fCmCrQ1Uws5jmp9/N3MpvHN++FuC0uk90hGRUGxy+sIYM829+NC5qrb752Gn4nNIS6CriOzENgFfi732UtjdhAOBed7sBfYaY/5wv56CTViBfr5cB+wwxsQZY1KAadhzKNDPl3OyOj888lnsbwkqO1ODBAT3dZUPgY3GmFfTrUo/NUo/YHpOx+YkY8xTxpiyxpiK2PNjgTGmF7AQO1UMBOZxOQjsEZEr3YvaYmchCOjzBdu010xE8rn/p84dl4A+X9LJ6vyYAfR19+ZrBiSkawrMNr8bSUJEOmGvMZybGuR5h0NyhIi0An4F1vL3tZZh2OtQk4HywC7gVmNMxgufAUFErgEeM8bcICKVsTWqosBKoLcx5qyT8eU0EYnCdhwJA7YDd2K/xAb0+SIio4DbsD1jVwJ3Y6+nBNT5IiJfAddgp9Q4BDwLfE8m54c7mb+BbQ49DdxpjIm56DL9LUEppZTyD/7WxKeUUspPaIJSSinlkzRBKaWU8kmaoJRSSvkkTVBKKaV8kiYopZRSPkkTlFJKKZ+kCUoppZRP0gSllFLKJ2mCUkop5ZM0QSmllPJJmqCUUkr5JE1QSimlfJImKBXQRGSniJwRkZMickxEfhSRchd+p28QkZEi8rnTcSjlDZqglIIuxpgIoDR2npvXL3YH6WZXzVVya9wqMGiCUsrNGJOEneq8FoCIdBaRlSJyQkT2iMjIc9uKSEURMSLSX0R2Awvcta/B6fcpImtE5Cb389oiMldEjorIIREZ5l4eJCJDRWSbiMSLyGQRKZqhnH4isltEjojI0+51HbCTUN7mrgGudi8vJCIfisgBEdknIs+JSLB73R0i8ruIjBeReGCkiFQVkUUikuDe/zdePdBKZZMmKKXcRCQfdubUZe5Fp4C+QGGgM3CfiNyY4W1XAzWB9sCnQO90+6uPnXn1RxEpAMwDZgFlgKrAfPemg4Eb3fsqAxwD3sxQTivgSuyU4yNEpKYxZhYwBvjGGBNhjKnv3vYT7OyvVYEGQDvsLLDnNMXOmFsSeB74P2AOUAQoyyXUIJXyBk1QSsH3InIcSACuB14GMMb8YoxZa4xxGWPWAF9hk0h6I40xp4wxZ4AZQHURqeZe1webPJKBG4CDxphxxpgkY0yiMeYP93b3Ak8bY/a6pw0fCXTP0Pw2yhhzxhizGlgN1CcTIlIS6AQ87I7rMDAe6JFus/3GmNeNManuuFOACkAZd2y/XdzhU8o7NEEpBTcaYwoD4cADwCIRKSUiTUVkoYjEiUgCNpEUz/DePeeeuJsIvwF6i0gQcDvwmXt1OWBbFuVXAL4TkePuRLkRSMPWcM45mO75aSDiP/YVChxIt793gRKZxez2BCDAchFZLyJ3ZbFvpXKUJiil3IwxacaYadjk0Ar4ElsrKmeMKQS8g/0g/8fbMrz+FOiFbYo7bYxZ6l6+B6icRdF7gI7GmMLpHuHGmH3ZCTuTfZ0FiqfbV0FjTO2s3mOMOWiMuccYUwYYCLwlIlWzUbZSXqUJSik3sbphr8VsBAoAR40xSSLSBOh5oX24E5ILGMfftSeAmUBpEXlYRPKISAERaepe9w7wvIhUcMcR6Y4jOw4BFd01NowxB7DXk8aJSEF3B4wqIpKxaTL97/0/ESnrfnkMm8Bc2SxfKa/RBKUU/CAiJ4ET2E4D/Ywx64FBwGgRSQRGAJOzub9JQF3g/P1JxphE7PWtLtjmui1AG/fqidia2hx3WcuwHRmy41v3z3gR+dP9vC8QBmzAJpwp2C70WWkM/OE+BjOAh4wx27NZvlJeI8ZkbCFQSl0OEekLDDDGtHI6FqVyM61BKeVB7q7qg4D3nI5FqdxOE5RSHiIi7YE47HWhLx0OR6lcT5v4lFJK+SStQSmllPJJPjdQZPHixU3FihWdDkMppVQOiY2NPWKMicy43OcSVMWKFYmJiXE6DKWUUjlERHZltlyb+JRSSvkkn6tBKZVb7E/cz7aj24g/E0/86XiCg4LpWLUjJSNKXvjNSqkL0gSl1EVae2gtY34bw+T1k3GZf44IJAitK7Sme63u9KnXh0LhhRyKUqncz+e6mUdHRxu9BqV80Zb4LTw29zFmbJ5BRFgEg6IHcV3l6yierzjF8hXjeNJxpm2cxrcbvmVD3AbKFSzHFzd/wVUVrnI6dAWkpKSwd+9ekpKSnA4lYIWHh1O2bFlCQ0P/sVxEYo0x0Rm31wSlVDYs3rWYG7++EYNhSLMhDG4ymCJ5i2S5/ZI9S+j7XV92HN/BsFbDGHH1CEKDQ7PcXnnfjh07KFCgAMWKFUMk46D0ytuMMcTHx5OYmEilSpX+sS6rBKWdJJS6gC/WfMH1n11PyYiSxA6IZcTVI/4zOQG0KNeClQNX0rd+X5779TnafNqGhKSEHIpYZSYpKUmTk4NEhGLFil1UDVYTlFL/4fnFz9P7u960KNeCJXctoXKRrKZ0+rcCeQrwcbeP+fLmL1m+bzk3fHUDp1NOezFadSGanJx1scdfE5RSWXg/9n2GLxxO73q9md179gVrTVm5ve7tfHHzFyzZs4RbJt9CclqyhyNVyj9pglIqE7/s/IVBPw2iQ9UOfNztY8KCwy5rf/+r/T/eu+E9Zm2dRe9pvUlzpXkoUpWbREREALBq1SqaN29O7dq1qVevHt98843Dkfkm7WauVAbbj23nlsm3UK1oNb6+5WtCgjzzb9K/YX+OJx3nsbmPUa5gOca1H+eR/arcJ1++fEyaNIlq1aqxf/9+GjVqRPv27SlcuLDTofkUTVBKpXPi7Am6fNUFgBm3z/D4fUyPtniUHcd38OqyV7m20rV0rt7Zo/tXuUP16tXPPy9TpgwlSpQgLi5OE1QGmqCUSmfQj4PYfGQzc/vMpWrRql4p45V2r/Db7t+4Y/odrBq4iisKXuGVctR/ePhhWLXKs/uMioIJEy76bcuXLyc5OZkqVap4Nh4/oNeglHL7ftP3fLH2C55p/QxtKrXxWjnhIeF83f1rTqecpvd3ej0qkB04cIA+ffrw8ccfExSkH8cZaQ1KKeDI6SMMnDmQqFJRDLtqmNfLq1G8Bm92epM7p9/JmF/H8MzVz3i9TJXOJdR0PO3EiRN07tyZ559/nmbNmjkdjk/SlK0UMPjnwRw7c4xPb/w0x0Z86Fe/H73q9mLUolGsPLAyR8pUviE5OZmbbrqJvn370r17d6fD8VmaoFTAm7phKl+v+5oRV4+gXsl6OVauiPB6x9cplq8YA2cO1Ka+ADJ58mQWL17MJ598QlRUFFFRUazy9DUxP6AJSgW040nHGfTTIBqWbsiTLZ/M8fKL5C3ChPYTWLF/BW/HvJ3j5aucdfLkSQB69+5NSkoKq1atOv+IiopyODrfowlKBbRRv4wi7lQcH3T5wLHBXHvU6UG7Ku0YNn8Y+07scyQGpXyRdpJQAWtD3AbeWPEG9zS8hwalGzgWh4jwVqe3qPN2HR6a9RBTbp3iTCA7d8KMGbBpk31s2QKFC8OVV0KNGtCwIXTpAqE6KrvKGVqDUgHJGMPDsx4mIiyC5659zulwqFK0CiNaj2DqxqnM/Gtmzhb+559w++1QtSo89BB89RWcOQNt2kDlyrB2LYwdC7fcAlWqwKuvQmJizsaoApImKBWQZmyewdztcxl1zSgi80c6HQ5gR5moWbwmQ2YPyZkBZffuhU6doFEj+PFHGDIEduyAo0dh6VKYNAmmT4fNm+H0aZg50yasRx+FcuXgtdfAx+aTU/5FE5QKOEmpSTwy5xFqRdbivuj7nA7nvLDgMMa1G8fWo1t5c/mb3i3sxx/tyAeLF9va0Z498PLLULEiZDYlQlgYdO4Mv/wCf/wBzZrZ2taNN9qEppQXaIJSAWfisolsP7adiR0m+twstx2rdaR9lfaMXjya+NPxni8gORkeewxuuAHKloXYWHjySSh0EWMONmkCP/8M48fbn1FR8Pvvno9VBTxNUCqgHD1zlBd+e4HO1TpzXeXrnA4nU+PajSPxbCIjfxnp2R0nJUG3bjBuHAwaBMuW2Q4Ql0LEjme3ZIntNNGmDXz/vWfj9UNDhgxhQrpRLNq3b8/dd999/vWjjz7Kq6++6kRo5x0/fpy33norW9u2aNHCq7FoglIB5YVfX+DE2RO80PYFp0PJUu0StRnQaABvx7zNxriNntnpmTPQtSvMmgXvvgtvvgnh4Ze/3+hoWwtr2BD+9z+YOvXy9+nHWrZsyZIlSwBwuVwcOXKE9evXn1+/ZMkSr3/on5Oamprp8otJUOd+F2/RBKUCxp6EPby+/HX61O9D3ZJ1nQ7nP426ZhT5w/Lz2NzHLn9np0/b7uHz5sGHH8KAAZe/z/QKF4Y5c2zT3223wbffenb/fqRFixYsXboUgPXr11OnTh0KFCjAsWPHOHv2LBs3bqRWrVq0bduWhg0bUrduXaZPnw7AqVOn6Ny5M/Xr16dOnTrnJzkcOnQotWrVol69ejz2mD1f4uLiuOWWW2jcuDGNGzfmd3cT7MiRI+nTpw8tW7akT58+rF+/niZNmhAVFUW9evXYsmULQ4cOZdu2bURFRfH4448D8PLLL9O4cWPq1avHs88+e/73OTcB4y+//MI111xD9+7dqVGjBr169cJ4oAON3gelAsbIX0ZiMIy+ZrTToVxQZP5Ihl81nCfmPcGCHQu4ttK1l7ajs2dtzWnBAvj4Y+jXz7OBnlOwoK2ddepku6wHBdlu6T7q4VkPs+qgZ4cWiioVxYQO/z0IbZkyZQgJCWH37t0sWbKE5s2bs2/fPpYuXUqhQoWoW7cu+fLl47vvvqNgwYIcOXKEZs2a0bVrV2bNmkWZMmX48ccfAUhISCA+Pp7vvvuOTZs2ISIcP34cgIceeoghQ4bQqlUrdu/eTfv27dm40dbGN2zYwG+//UbevHkZPHgwDz30EL169SI5OZm0tDTGjh3LunXrzg+9NGfOHLZs2cLy5csxxtC1a1cWL15M69at//G7rVy5kvXr11OmTBlatmzJ77//TqtWrS7rmGoNSgWEDXEb+GT1J9zf+H4qFK7gdDjZMrjpYMoVLMfQeUMv7duoMXDffTB/vneT0zkFCthOE02aQO/esGKFd8vLpVq0aMGSJUvOJ6jmzZuff92yZUuMMQwbNox69epx3XXXsW/fPg4dOkTdunWZO3cuTz75JL/++iuFChWiUKFChIeH079/f6ZNm0a+fPkAmDdvHg888ABRUVF07dqVEydOnB9mqWvXruTNmxeA5s2bM2bMGF588UV27dp1fnl6c+bMYc6cOTRo0ICGDRuyadMmtmzZ8q/tmjRpQtmyZQkKCiIqKoqdO3de9rHSGpQKCMPmDyMiLCJHptLwlPCQcEa3Gc2d0+9k6sapdK91kaNev/KKTUwjRng/OZ0TEWE7SzRtajtkLF9uewv6mAvVdLzp3HWotWvXUqdOHcqVK8e4ceMoWLAgd955J1988QVxcXHExsYSGhpKxYoVSUpKonr16vz555/89NNPDB8+nLZt2zJixAiWL1/O/PnzmTJlCm+88QYLFizA5XKxbNkywjO5zpg/f/7zz3v27EnTpk358ccf6dSpE++++y6VK1f+x/bGGJ566ikGDhz4n79Xnjx5zj8PDg7O8hrXxdAalPJ7f+z9g+mbp/N4i8cpnq+40+FclD71+lA7sjbD5g8jJS0l+2+cMcN2H7/1Vkh3zSBHlCgBP/xgR5vo1g1OncrZ8n1cixYtmDlzJkWLFiU4OJiiRYty/Phxli5dSosWLUhISKBEiRKEhoaycOFCdu3aBcD+/fvJly8fvXv35vHHH+fPP//k5MmTJCQk0KlTJ8aPH8/q1asBaNeuHa+//vr5MrMaKX379u1UrlyZBx98kG7durFmzRoKFChAYrqRQtq3b89HH310vga2b98+Dh8+7K3D8w+aoJTfe2bhMxTPV5yHmz3sdCgXLTgomBfavsCWo1v4aOVH2XvTmjXQs6cdIeLjj+31oJxWpw58/bWdVr1fPx1xIp26deuev7aUflmhQoUoXrw4vXr1IiYmhrp16zJp0iRq1KgBwNq1a893aBg1ahTDhw8nMTGRG264gXr16tGqVavzXdRfe+01YmJiqFevHrVq1eKdd97JNJbJkydTp04doqKiWLduHX379qVYsWK0bNmSOnXq8Pjjj9OuXTt69uxJ8+bNqVu3Lt27d/9HAvMm8URPC0+Kjo42MTExToeh/MTiXYu5+pOrGdduHI80f8TpcC6JMYarPr6Kbce2sXXwVvKH5c9648RE2/U7MRFiYqBMmZwLNDOvvmqHRnr1VTuUkoM2btxIzZo1HY1BZf53EJFYY0x0xm21BqX8ljGG4QuGUzqitE8NaXSxRIQXr3uRgycPMvGPiVlveK5TxNatdsBXp5MT2KR04422uXH5cqejUbmMJijlt+Ztn8evu39leOvh5A39d++k3KRl+ZZ0qd6Fl35/iaNnshj77pNP4IsvYORIuPrqnAwvayLw0Uc2WfboAe5u0EplhyYo5ZeMMQxfOJwKhSrQv0F/p8PxiOevfZ4TZ0/w4m8v/nvlhg1w//1w7bUwzMd6KhYpYmt0u3fDPfc4ej3K1y5pBJqLPf6aoJRfmvnXTJbvW86Iq0eQJyTPhd+QC9QtWZde9Xrx2vLX2J+4/+8VSUl2BIeICPj8cwgOdi7IrDRvDmPGwJQp8N57joQQHh5OfHy8JimHGGOIj4/PtOt7VrSThPI7LuOi4bsNOZVyio33byQkyH9u99t+bDtXvnEldze4m7dveNsuPNcJ4aefoGNHZwP8Ly4XdOhgRz5fvdpOkJiDUlJS2Lt3L0lJSTlarvpbeHg4ZcuWJTTDrMxZdZLwn/9cpdymbZzG6kOr+fymz/0qOQFULlKZgY0G8m7suzza4lGqrtlrp7247z7fTk5gu7t/9BHUrQt9+9q5qEJy7u8TGhpKpUqVcqw8dfm0iU/5lTRXGiMWjqBWZC161OnhdDheMbz1cMKCwxgx5ym44w47DfvLLzsdVvaULWtHUl+6NPfErByTrQQlIh1EZLOIbBWRoZmszyMi37jX/yEiFd3LK4rIGRFZ5X5kfreYUh7y1bqv2HhkI6OuGUVwkA9ei/GAUhGleLjpw3y1eQorU3bDZ59B/v+4N8rX3H773yNcZDHCgVKQjQQlIsHAm0BHoBZwu4jUyrBZf+CYMaYqMB5I381omzEmyv2410NxK/UvKWkpjFo0ivol63NzzZudDserHk+oTZEz8NTdlez067mJCLz1FhQvDn362BHXlcpEdmpQTYCtxpjtxphk4GugW4ZtugGfup9PAdqKiHguTKUubNLqSWw9upXRbUYTJH7cen30KIUHPcLTW0szO2g7C3YscDqii1esGHzwAaxbB6N9f/oT5Yzs/BdfAexJ93qve1mm2xhjUoEEoJh7XSURWSkii0TkqswKEJEBIhIjIjFxcXEX9QsoBXA29SyjF4+mcZnGdKnexelwvOvBByE+nvuf+o5yBcvx5Lwnc2fX6U6d4M474cUX7bBMSmXg7a+ZB4DyxpgGwCPAlyJSMONGxpj3jDHRxpjoyMhIL4ek/NG7se+yO2E3z137HH5deZ8+3Y4WMXw44Y2aMrrNaGL2xzBlwxSnI7s0r74KpUrZzh7a1KcyyE6C2geUS/e6rHtZptuISAhQCIg3xpw1xsQDGGNigW1A9csNWqn0Es8m8tzi52hTsQ3XV77e6XC85+hRuPdeqF8fnnoKSDcdx4KLnI7DVxQuDO+/D+vXa1Of+pfsJKgVQDURqSQiYUAPYEaGbWYA52ZE6w4sMMYYEYl0d7JARCoD1YDtngldKWvCsgnEnY7jhbYv+Hft6aGH4MgRO+ZeWBjw93QcW49u5YM/P3A2vkvVsaM29alMXTBBua8pPQDMBjYCk40x60VktIh0dW/2IVBMRLZim/LOdUVvDawRkVXYzhP3GmOyGOlSqYt35PQRXl7yMjfWuJGmZZs6HY73zJhhhzF6+mmIivrHqhuq30DrCq159pdnSUhKcCjAy6RNfSoTOtSRytUem/MY45eNZ829a6hdorbT4XjH0aNQuzaULGmnrHDXntKL3R9L9PvRPNnyScZeN9aBID3gp5+gc2ebhJ97zuloVA7S+aCU39l7Yi9vLH/DXofx1+QEmTbtZdSoTCP61u/L+GXj2XFsR87G5ymdOtka1Nix2tSnAE1QKhcbsXAEBsPIa0Y6HYr3/EfTXkbPX/s8wRLMU/OfyqHgvGD8eFtTvPNObepTmqACQlqa7SX1+ecwaxbExzsd0WVbeWAln6z6hAebPEjFwhWdDsc7jh6FgQNtr71szPFUtmBZHm/xON+s/4ale5bmQIBeULiwnY5j3Tr4v/9zOhrlME1Q/soYmDwZ2rSx//R16thhZTp2tEPMVKkCd98Ne/ZceF8+xhjDo3MepWjeojzd+mmnw/GewYMv2LSX0RMtn6B0RGmGzB6Cy7i8G5+3dO4M/frZpr4VK5yORjlIE5Q/2rwZ2rWzk9gdPGj/2T/9FNauhQULbHfeqCj48kuoWRNeegmSk52OOttm/jWThTsXMuqaURQOL+x0ON7x7bf27zNixAWb9tLLH5afF9q+wB/7/mDS6kleDNDLJkyA0qXttBxnzjgdjXKKMcanHo0aNTLqEqWlGTNihDGhocYUKmTMm28ak5qa9fY7dhjTrZsxYEzNmsasWJFjoV6q5NRkU/316qbGGzVMcmqy0+F4x/79xhQrZkzjxsakpFz029NcaabFhy1M5EuR5ujpo14IMIfMnWvPzYcfdjoS5WVAjMkkH2gNyl+kpNgmvNGj7VQGmzfDoEH/Pf13xYrw/ffwww9w8qRtDlzg2wOPvhPzDn/F/8XL179MaHDohd+Q2xgD99wDp07BpEmXNKFfkATxVqe3iD8Tz9MLcnET6HXXwQMP2NrUwoVOR6OckFnWcvKhNahLcPq0MZ0722+bY8YY43Jd/D727TOmTh1j8uQx5vvvPR+jBxw5dcQUfbGoaftpW+O6lN8xN/jgA/t3nDDhsnf14E8PGhkpZsU+368ZZ+nUKWOqVTOmfHljEhKcjkZ5CVqD8lMnTkCHDvYmx7fesmO0XcpwP2XKwKJF9nrHLbfYb+8+5sl5T3Li7AkmdJjgn0Mabd0KDz9sa7KDB1/27ka3GU2J/CUY9OMg0lxpHgjQAfny2XNx715bm1IBRRNUbpacDDfdBEuW2BGu77vv8vZXtCjMmwfXXGNvmPzuO09E6RG/7/6dD1d+yJBmQ6hToo7T4XhecrKdaTY01PbaC7r8f81C4YV4pd0rrNi/gvdi37v8GJ3SrBk884ydOfjzz52ORuWkzKpVTj60iS+bXC5j7rjDNgd9+qln9336tDFNmxqTN68xf/zh2X1fgpS0FFP3rbqm3KvlTOLZRKfD8Y4nnrB/y6lTPbpbl8tlrv30WhMxJsLsPLbTo/vOUSkpxrRqZUxEhDFbtzodjfIwtInPzzz/vP2m/eyztiuuJ+XNa0cwKFUKunSBHc4OnfPaH6+x9vBaJnaYSERYhKOxeMWcObar/8CBcLNnp6oXET7o8gHGGO754R7sZ0EuFBJiWwlCQmxNMxfdFqEunSao3OiLL2yTR+/eNkF5Q4kS8OOP9oOgc2c4dsw75VzA3hN7efaXZ+lUrRM31rjRkRi86vBh+wWjVi07orcXVCpSiZeuf4m52+fy4coPvVJGjihf3s4dtWKFPf+V39MEldusWAF33QWtW8MHH1xah4jsqlnTXofautV+a03L2QvtxhgGzhxIqiuV1zu+7n8dI1JToWdPOH4cvvrKdgjwknuj76VNxTY8MvsRdifs9lo5Xte9OwwYYGucP/zgdDTKyzRB5SZxcbaHXenSMHUq5Mnj/TKvuQZefx1mz4aRI71fXjofrvyQn7b8xNi2Y6lcpHKOlp0jhg+H+fNt78t69bxaVJAE8WHXD3EZV+5u6gN7X1TDhva+v61bnY5GeZEmqNwiNRV69LBJato0O55eThkwwNbannsOpk/PkSJ3HNvBkNlDaFOxDYObXn6Xa58zdaodcmrgQHtsc0ClIpV4+fqXmbNtDq8u9U5zYo7Im9cev+Bg24v11CmnI1Jeogkqt3j6aTvKw9tv22+POUkE3nwToqPt9ZK//vJqcS7j4s7pdyIIH3f7mCDxs9N040bbjb9pU5g4MUeLvjf6Xm6ueTND5w9l2d5lOVq2R1WsaJtF16+3I2/k5hqhypKf/ef7qalTbZv7fffZDzYnhIfbOMLC7LfWkye9VtTEZRNZtGsREztMpELhCl4rxxHHjtnjlzcvTJmSM8206YgIH3b9kHIFy3HblNs4euZojpbvUe3a2Vr9V1/BuHFOR6O8QBOUrzv3bbtZM9v27qTy5eHrr2HTJujf3yvfWmP2x/DU/KfoUr0Ld0Td4fH9O+rsWZuctm+3o5WXLetIGIXDC/NN9284kHiAO6ffmbuvRw0dajtOPPGE/QKl/IomKF924oT9QMuXz37bzuacQF7Vti28dUghlQAAEoVJREFU8IKda8rD3aKPnD7CLZNvoWREST7q9pF/9dozxib1RYvg44/h6qsdDafxFY15pd0rzNg8g5d+f8nRWC5LUJAdCqlZM3vbxdJcOlGjypQmKF9ljK05bd1qk8EVVzgd0d8ef9z2JnzySY+NMp3mSqPn1J4cPHmQqbdOpXi+HOwEkhOeecbev/bcc9Crl9PRADC4yWB61OnB0PlDmbJhitPhXLpzN5aXLWtvLN+yxemIlIdogvJVL75o70F65RXHv23/i4itBVSvbidF9MCsvCMWjmDu9rm82elNostEeyBIH/L223bkj7vvztbU7TlFxHZCaVGuBX2+65O7O00ULw4//397Zx4ldXXl8c+tql6gaaCLoDTI0tgtKJqhEUMri2ggA8YjbhE0JjkYYxLjNibHQyY5M2RzRDMxcc0g4BKNBiEIggIjyyicKGEJyI6sAiVL29BNd0NXV93541ZD0XaTphd+VV3vc847Vb+lqm69evX7vnff+937rj0fPRr27/fWHkez4AQqEXn7bbuQjRsHDz7otTV1k51ty92PH4cxY5q01Hfmxpk8uuxR7i68m7sH3N2MRiYAkydbXq7rr7f7nRLMbZkZyOStsW/RLbsbN7x+AztLvA1r1STy82HuXDhwAK69FkIhry1yNBEnUInG2rUWteHyy2Hq1IS7oJ1G3762aGLtWvP/R6Nn/RZLdi7hjr/eQdEFRTx93dMtYKSHTJ1q9zldd53NIaYlZoLFzlmdmXfHPKqj1Yx+bTQHjh3w2qTGU1RkI6m9e02kDiTxd3E4gUooQiHraefkmE+9BUPfNBvXXQdPPmmZeSdMOKuXrtq/ijFvjKEgWMC8O+aRGchsISM94KWX7P6cUaPOXdSPJtDnS32YPW42n5Z+yjUvX8Nnxz7z2qTGM2SI5Ufbs8dE6uBBry1yNBInUIlCRYW5ykpKzMWXm+u1RQ3n/vvNjfXEExYfsAFsLd7K6NdGE2wTZMGdCwi2CbawkecIVZs/HD/eUpbPmmX3kCUBQ3sO5Z073mH30d1c8/I1hMqS2EU2bJgFO965E666yi2cSFKcQCUCVVVw222wciX8+c+W1TaZELGICF/7GvzgBzaaOgNbDm9hxCsjAFj4rYV0a59AKxSbQnW1CfWECTZ/OGdO0ohTDVf3upp3v/kunx79lOEvD2df6T6vTWo8w4db9JWjR+HKKy2xpyOpcALlNeGwXczmzbPVXjfc4LVFjSMQsJtPBw40sX3nnTpPW7FvBYOnDeZE5AQLv7WQizpddI4NbSGOHYMbb4Q//tGW37/2WtKJUw3Deg5j/p3z2V+2n0FTBrFq/yqvTWo8RUV2b1QwaO6+N9/02iLHWeAEyksiEYttN2uWjUC+/32vLWoa7dvD/Plw2WWWeO+99047PP+T+Vzz8jV0yOzA8ruW079Lko0U62PdOhPmd981gXrssWZJ2e4lQ3oMYdn4Zfh9foa+OJTpG6Z7bVLjyc+30dPll1vn6cc/dgkPk4W60ux6WVIm5XtVleq3v21pvh9/3GtrmpfDh1Uvu8xSxr/3nkajUX3+789r4JcB7f/H/hoqC3ltYfMQjao+95xqRoZqbq7q4sVeW9TsHDh2QAdPHaxMRH++6OcajoS9NqnxVFaq3nef/eeuuEJ1+3avLXLEoJ6U754LUu2SEgJVUqI6cqRV/69+5bU1LcOBA6r9+mlJll+/MWmgMhEd9eooPXr8qNeWNQ/79qnedJP9hqNG2fdtpRwPH9e73rpLmYgOemGQbj602WuTmsbMmaodO6q2b6/64ovW0XB4Sn0Cldx+iGRk504YPBiWLoVp0yxpXWvkvPP4aMYfKLw/jVnHVjKpahjzxs6hfUZ7ry1rGtXV5o7t29fm2R5/3OYPzzvPa8tajIxABlPHTOWNW95g2+fb6P8//Xnyb08S1bO/7y0huPlmWLPGkkSOH2+RWtav99oqRx04gTqXLF5sOYBCIVi40P4crZDiimLunXcvV03/Gnr++Xxw9GYeefR9fDffYgkXk5WlS+ErX4GHHrKly+vXW1zCJJ9vaihjLx3Lhns3MKL3CB5e+DBXvHAFi3Ys8tqsxtGrlwXunTLFckoVFsJPfgKHD3ttmSOeuoZVXpZW6eIrLVX94Q/NHXTRRapbtnhtUYsQjoT1uRXPaXBSUP2/8Ov979yvJZUl5kJ56inVtDTVzp1V//KX5HGrRKM2tzRsmP1+3bqpTp+ePPa3ANFoVF9d+6p2/133k67bf4T+4bVZjefQIdW77lIVUc3KUp0wwfY5zhm4OSiPWLBAtWdPa/wPP6xaXu61Rc1OeVW5PvPRM5r3+zxlIjr8peG67rN1Xzzx449VBw60ZnfTTap79px7YxtKRYXqn/6ketVVZm/XrqpPP20T7Q5VVa0MV+oTy5/Qjo91VCaiI18ZqXO3zNVINOK1aY1j/XrVceNOCdV996muq6MdO5odJ1Dnkppe99VXnxo1LV/utVXNzuZDm/Vni36mnSZ1UiaiRVOKdNamWRo90+giHFadNMlWvqWlqX7ve4mzmioSUf3wQ9UHHlDNybHf7sILbfTnhKleiiuK9df/92vt+t9dlYlo/lP5+uj7j+q24m1em9Y4NmxQvfNO1fR0awNFRaovvKB68KDXlrVa6hMosWOJw8CBA3XlypVem9E4ysstTNGzz8KyZdC1q2X6vOcey1mT5KgqW4u38vbWt3l9/eusDq1GEK6/6HoeGfwIg7sPbniSwV27bIHBtGm28OAb37A8SSNHntu4dUeO2G81d65FfgiFLDHkzTdbLL3hw1NmjqmphCNhZm6ayTMrnmH5p8sBGJA7gFsuvoURvUcwIHcAAV/AYyvPguJiS4Y4ebJlkfb5LM7fjTda1JSLL3Zto5kQkVWq+oU8Ow0SKBEZBfwB8ANTVPWxWsczgFeAy4FiYKyq7ood+ynwXSACPKCqC870WUknUMXF8P77Fq169mwTqe7dLZrAd7+btNEEwC44Gw9tZHVoNUt3L2XRjkXsK7PQN1d0vYLbL72d2/rd1rRQRaGQ5byaNs3EokMHi6YxcqQtSCgoaL6LQFkZbNxoixtWr4YPPrDnqtCunQV2HTPGAuAGW0lsQI/Yc3QPMzbO4M2Nb57MM9U+oz3Deg6jqFsRhbmFFHYpJDc7CWJOqtqqv9mzLYzXunW2Pxg0wRo82MKTffnL0KWLt7YmKY0WKBHxA1uBkcBe4O/A7aq6Me6ce4Evq+oPRGQccJOqjhWRS4DXga8AXYH3gItUNVLf5yWsQEWjFsJ/yxbYutVSTCxbBps22fFgEG691VJlDB0Kfr+39jaQY1XHCJWFCB0LsbNkJ9tLtrO9ZDubD29m/cH1VEXsjvtObTpxbd61fDXvq4y8cCS9c3o3ryFVVbBokWUPfustEyswwSostFVX3btDjx4W7T0ry0pmpkXkqK62sFGlpRZw9/PPbcXgnj1Wdu8+PbFiu3a2Em/IECtXXpnUnYlE5mD5QZbuWsrinYtZsmsJW4u3njzWuW1nCjoVUBAsID+YT48OPeiW3Y2u2V3Jzc6lQ0aHho/KzxW7dtmKzg8+sM7pJ5+cOta5M/TpAxdeCL17Q16eBX6uKTk5iZ1CxyOaIlBXAhNV9V9j2z8FUNX/ijtnQeycv4lIAPgM6AxMiD83/rz6Pq85BGrJjN+i0Yj1fFBQTGCiUdsXiZwq4bCVqiorlZUWWbyiHErLTl3sSkrs/BqysqBfP7jsMrRfP7jkYgj883w/yqn6rl33Ssz3Ws9jVKMnS0QjRKKRk4/haJhwJEw4GqYqUsXx6uMcrz5OZbiS8nA5x6qOUR4u58jxI5RUllByvITiimLKw6cnGvSJjx4delAQLKB/l/4Udimkf5f+9PlSH3xyjtwZkYgJ/4oVVtatM5EJhc4u51QgYGnAe/Y0cevbFy691EpennPPeMTR40dZe2Ata0Jr+Pjgx2wv2c624m0nR+fx+MVPsE2QTm070SGjA9kZ2WSnZ5OdkU2bQBsraW3IDGSS7k8/WdJ8aQR8AQK+AH6fH7/48YkPv88ea4ogiEi9j/EIp7ZPO1ZaiuzYCTt2WNm319rq4eIvfB/x+SzZZ/tsyGpnKXXatoU2mZCRae7t9HQraWlWAgHr8MYXn8+KyKnOsM+HmSinPzeDaz3GHauLsxDR4Tc+hM/fNNdtUwTqVmCUqt4d2/4WMEhV74s7Z33snL2x7e3AIGAi8KGqvhrbPxV4V1Vn1PqMe4B7AHr06HH57t27G/s9AUj/DyGcHAOYFsUnPjIDmbRLb0dWWhZZ6Vl0zOxITmYOOW1yCGYGyc3OJbddLl3adaFnx5706tiLdH+616bXTThsqbyPHDFXank5nDhhf+Cakp1tvdRg0GIDOhFKGirCFewv28++0n3sL9tP6FiI4opiiiutlJ4opexEGWVVZZSdKKOyupLKcCUV4Qoi9TtlHC3MiUfKSG/TrknvUZ9AJcSMpapOBiaDjaCa+n6LBj17apwiYqV2jyO+V5KRYT2Vml5LI4bgcqbeSO1z496/9uvO1Jur6QXWPK/pGfp9ftJ8aaT500jzpZERyCAzkJlcE9INIS3NRkM9e3ptiaMFaJvWlvxgPvnB/LN+bSQaoSpSdbJUR6upjlYTjoaJRCOneR0U80bUPK/PaxFPfEf+TMfORO3XnfkLxbmtw2HzHNR4faqrT3mEarxCGj3lKYr3GpmBtQzRL+6rffwsCKS3nGu8IVewfUD3uO0LYvvqOmdvzMXXAVss0ZDXNjtDv35vS3+Ew+FIIPw+P2185u5ztB4a4v/4O1AgInkikg6MA+bUOmcO8J3Y81uBxbG17XOAcSKSISJ5QAGwonlMdzgcDkdr5p+OoFS1WkTuAxZgy8ynqeoGEfkldnPVHGAq8CcR+QT4HBMxYudNBzYC1cCPzrSCz+FwOByOGhLuRl0ROQQ0bZWE8SXARX78Iq5e6sbVS924eqkbVy9109h66amqnWvvTDiBai5EZGVdq0JSHVcvdePqpW5cvdSNq5e6ae56cWtwHQ6Hw5GQOIFyOBwOR0LSmgVqstcGJCiuXurG1UvduHqpG1cvddOs9dJq56AcDofDkdy05hGUw+FwOJIYJ1AOh8PhSEhanUCJyCgR2SIin4jIBK/t8QoR6S4iS0Rko4hsEJEHY/uDIvK/IrIt9pjjta1eICJ+EVkjInNj23ki8lGs3fwlFjUlpRCRjiIyQ0Q2i8gmEbnStRcQkX+L/YfWi8jrIpKZiu1FRKaJyMFYcPCafXW2DzGeitXPOhEZ0JjPbFUCFctd9SwwGrgEuD2WkyoVqQZ+rKqXAEXAj2J1MQFYpKoFwKLYdiryILApbnsS8KSq5gMlWJLNVOMPwHxV7Qv8C1Y/Kd1eRKQb8AAwUFUvxaLpjCM128tLwKha++prH6Ox0HYFWKaK5xvzga1KoLDEiJ+o6g5VrQLeAMZ4bJMnqGpIVVfHnpdhF5tuWH28HDvtZeBGbyz0DhG5APg6MCW2LcC1QE0amJSrFxHpAAzDwpahqlWqegTXXsBCwrWJBcJuC4RIwfaiqu9joeziqa99jAFeUeNDoKOInHX65NYmUN2AuLSp7I3tS2lEpBdQCHwEnK+qodihz4DzPTLLS34PPALUZD/sBBxR1erYdiq2mzzgEPBizPU5RUSySPH2oqr7gN8CezBhOgqswrWXGuprH81yLW5tAuWohYi0A2YCD6lqafyxWMT5lLrPQESuBw6q6iqvbUkwAsAA4HlVLQTKqeXOS9H2koONBvKArkAWX3RzOWiZ9tHaBMqT/FOJioikYeL0mqr+Nbb7QM1QO/Z40Cv7PGIwcIOI7MJcwNdicy8dYy4cSM12sxfYq6ofxbZnYIKV6u1lBLBTVQ+pahj4K9aGUr291FBf+2iWa3FrE6iG5K5KCWLzKlOBTar6u7hD8bm7vgPMPte2eYmq/lRVL1DVXlj7WKyq3wSWYLnMIDXr5TPgUxHpE9v1VSxNTkq3F8y1VyQibWP/qZp6Sen2Ekd97WMO8O3Yar4i4GicK7DBtLpIEiJyHTbHUJO76jcem+QJIjIE+AD4mFNzLf+OzUNNB3pgaU1uU9XaE58pgYgMB36iqteLSG9sRBUE1gB3quoJL+0714hIf2zhSDqwAxiPdWJTur2IyC+AsdjK2DXA3dh8Skq1FxF5HRiOpdQ4APwn8BZ1tI+YmD+DuUMrgPGquvKsP7O1CZTD4XA4WgetzcXncDgcjlaCEyiHw+FwJCROoBwOh8ORkDiBcjgcDkdC4gTK4XA4HAmJEyiHw+FwJCROoBwOh8ORkPw/PD3x5iehJPsAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# non weighted barycenter computation\n", - "\n", - "weight = 0.5 # 0<=weight<=1\n", - "weights = np.array([1 - weight, weight])\n", - "\n", - "# l2bary\n", - "bary_l2 = A.dot(weights)\n", - "\n", - "# wasserstein\n", - "reg = 1e-3\n", - "alpha = 1.\n", - "\n", - "bary_wass = ot.unbalanced.barycenter_unbalanced(A, M, reg, alpha, weights=weights)\n", - "\n", - "pl.figure(2)\n", - "pl.clf()\n", - "pl.subplot(2, 1, 1)\n", - "for i in range(n_distributions):\n", - " pl.plot(x, A[:, i])\n", - "pl.title('Distributions')\n", - "\n", - "pl.subplot(2, 1, 2)\n", - "pl.plot(x, bary_l2, 'r', label='l2')\n", - "pl.plot(x, bary_wass, 'g', label='Wasserstein')\n", - "pl.legend()\n", - "pl.title('Barycenters')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Barycentric interpolation\n", - "-------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/rflamary/PYTHON/POT/ot/unbalanced.py:895: RuntimeWarning: overflow encountered in true_divide\n", - " u = (A / Kv) ** fi\n", - "/home/rflamary/PYTHON/POT/ot/unbalanced.py:900: RuntimeWarning: invalid value encountered in true_divide\n", - " v = (Q / Ktu) ** fi\n", - "/home/rflamary/PYTHON/POT/ot/unbalanced.py:907: UserWarning: Numerical errors at iteration 595\n", - " warnings.warn('Numerical errors at iteration %s' % i)\n", - "/home/rflamary/PYTHON/POT/ot/unbalanced.py:900: RuntimeWarning: overflow encountered in true_divide\n", - " v = (Q / Ktu) ** fi\n", - "/home/rflamary/PYTHON/POT/ot/unbalanced.py:907: UserWarning: Numerical errors at iteration 974\n", - " warnings.warn('Numerical errors at iteration %s' % i)\n", - "/home/rflamary/PYTHON/POT/ot/unbalanced.py:907: UserWarning: Numerical errors at iteration 615\n", - " warnings.warn('Numerical errors at iteration %s' % i)\n", - "/home/rflamary/PYTHON/POT/ot/unbalanced.py:907: UserWarning: Numerical errors at iteration 455\n", - " warnings.warn('Numerical errors at iteration %s' % i)\n", - "/home/rflamary/PYTHON/POT/ot/unbalanced.py:907: UserWarning: Numerical errors at iteration 361\n", - " warnings.warn('Numerical errors at iteration %s' % i)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# barycenter interpolation\n", - "\n", - "n_weight = 11\n", - "weight_list = np.linspace(0, 1, n_weight)\n", - "\n", - "\n", - "B_l2 = np.zeros((n, n_weight))\n", - "\n", - "B_wass = np.copy(B_l2)\n", - "\n", - "for i in range(0, n_weight):\n", - " weight = weight_list[i]\n", - " weights = np.array([1 - weight, weight])\n", - " B_l2[:, i] = A.dot(weights)\n", - " B_wass[:, i] = ot.unbalanced.barycenter_unbalanced(A, M, reg, alpha, weights=weights)\n", - "\n", - "\n", - "# plot interpolation\n", - "\n", - "pl.figure(3)\n", - "\n", - "cmap = pl.cm.get_cmap('viridis')\n", - "verts = []\n", - "zs = weight_list\n", - "for i, z in enumerate(zs):\n", - " ys = B_l2[:, i]\n", - " verts.append(list(zip(x, ys)))\n", - "\n", - "ax = pl.gcf().gca(projection='3d')\n", - "\n", - "poly = PolyCollection(verts, facecolors=[cmap(a) for a in weight_list])\n", - "poly.set_alpha(0.7)\n", - "ax.add_collection3d(poly, zs=zs, zdir='y')\n", - "ax.set_xlabel('x')\n", - "ax.set_xlim3d(0, n)\n", - "ax.set_ylabel(r'$\\alpha$')\n", - "ax.set_ylim3d(0, 1)\n", - "ax.set_zlabel('')\n", - "ax.set_zlim3d(0, B_l2.max() * 1.01)\n", - "pl.title('Barycenter interpolation with l2')\n", - "pl.tight_layout()\n", - "\n", - "pl.figure(4)\n", - "cmap = pl.cm.get_cmap('viridis')\n", - "verts = []\n", - "zs = weight_list\n", - "for i, z in enumerate(zs):\n", - " ys = B_wass[:, i]\n", - " verts.append(list(zip(x, ys)))\n", - "\n", - "ax = pl.gcf().gca(projection='3d')\n", - "\n", - "poly = PolyCollection(verts, facecolors=[cmap(a) for a in weight_list])\n", - "poly.set_alpha(0.7)\n", - "ax.add_collection3d(poly, zs=zs, zdir='y')\n", - "ax.set_xlabel('x')\n", - "ax.set_xlim3d(0, n)\n", - "ax.set_ylabel(r'$\\alpha$')\n", - "ax.set_ylim3d(0, 1)\n", - "ax.set_zlabel('')\n", - "ax.set_zlim3d(0, B_l2.max() * 1.01)\n", - "pl.title('Barycenter interpolation with Wasserstein')\n", - "pl.tight_layout()\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_WDA.ipynb b/notebooks/plot_WDA.ipynb deleted file mode 100644 index df46812..0000000 --- a/notebooks/plot_WDA.ipynb +++ /dev/null @@ -1,316 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# Wasserstein Discriminant Analysis\n", - "\n", - "\n", - "This example illustrate the use of WDA as proposed in [11].\n", - "\n", - "\n", - "[11] Flamary, R., Cuturi, M., Courty, N., & Rakotomamonjy, A. (2016).\n", - "Wasserstein Discriminant Analysis.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/rflamary/.local/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n", - " from ._conv import register_converters as _register_converters\n" - ] - } - ], - "source": [ - "# Author: Remi Flamary \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "\n", - "from ot.dr import wda, fda" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "#%% parameters\n", - "\n", - "n = 1000 # nb samples in source and target datasets\n", - "nz = 0.2\n", - "\n", - "# generate circle dataset\n", - "t = np.random.rand(n) * 2 * np.pi\n", - "ys = np.floor((np.arange(n) * 1.0 / n * 3)) + 1\n", - "xs = np.concatenate(\n", - " (np.cos(t).reshape((-1, 1)), np.sin(t).reshape((-1, 1))), 1)\n", - "xs = xs * ys.reshape(-1, 1) + nz * np.random.randn(n, 2)\n", - "\n", - "t = np.random.rand(n) * 2 * np.pi\n", - "yt = np.floor((np.arange(n) * 1.0 / n * 3)) + 1\n", - "xt = np.concatenate(\n", - " (np.cos(t).reshape((-1, 1)), np.sin(t).reshape((-1, 1))), 1)\n", - "xt = xt * yt.reshape(-1, 1) + nz * np.random.randn(n, 2)\n", - "\n", - "nbnoise = 8\n", - "\n", - "xs = np.hstack((xs, np.random.randn(n, nbnoise)))\n", - "xt = np.hstack((xt, np.random.randn(n, nbnoise)))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#%% plot samples\n", - "pl.figure(1, figsize=(6.4, 3.5))\n", - "\n", - "pl.subplot(1, 2, 1)\n", - "pl.scatter(xt[:, 0], xt[:, 1], c=ys, marker='+', label='Source samples')\n", - "pl.legend(loc=0)\n", - "pl.title('Discriminant dimensions')\n", - "\n", - "pl.subplot(1, 2, 2)\n", - "pl.scatter(xt[:, 2], xt[:, 3], c=ys, marker='+', label='Source samples')\n", - "pl.legend(loc=0)\n", - "pl.title('Other dimensions')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute Fisher Discriminant Analysis\n", - "------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "#%% Compute FDA\n", - "p = 2\n", - "\n", - "Pfda, projfda = fda(xs, ys, p)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute Wasserstein Discriminant Analysis\n", - "-----------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Compiling cost function...\n", - "Computing gradient of cost function...\n", - " iter\t\t cost val\t grad. norm\n", - " 1\t+8.1744675052927340e-01\t5.18943290e-01\n", - " 2\t+4.6574082332790778e-01\t1.98300827e-01\n", - " 3\t+4.4912307637701449e-01\t1.38157890e-01\n", - " 4\t+4.4030490938831912e-01\t7.00834944e-02\n", - " 5\t+4.3780885707533013e-01\t4.35903168e-02\n", - " 6\t+4.3753767094086027e-01\t5.81158060e-02\n", - " 7\t+4.3658534767678403e-01\t4.44189462e-02\n", - " 8\t+4.3516262357849916e-01\t4.15971448e-02\n", - " 9\t+4.3332622549435446e-01\t7.82365182e-02\n", - " 10\t+4.2847338855201011e-01\t5.28789263e-02\n", - " 11\t+4.1510883118208680e-01\t6.83664317e-02\n", - " 12\t+4.1332168544999542e-01\t1.01013343e-01\n", - " 13\t+4.0818672134323475e-01\t5.07935089e-02\n", - " 14\t+4.0502824759368472e-01\t9.56110665e-02\n", - " 15\t+3.9786250825732905e-01\t6.68177888e-02\n", - " 16\t+3.5518514892526853e-01\t2.01958719e-01\n", - " 17\t+2.5048183658126072e-01\t1.82260477e-01\n", - " 18\t+2.4055179583813954e-01\t1.48301002e-01\n", - " 19\t+2.2127351995549377e-01\t1.77690944e-02\n", - " 20\t+2.2106865089529223e-01\t6.44501056e-03\n", - " 21\t+2.2105965534255226e-01\t5.35361879e-03\n", - " 22\t+2.2104056962319110e-01\t3.63028924e-04\n", - " 23\t+2.2104051220659457e-01\t2.27022248e-04\n", - " 24\t+2.2104049071158929e-01\t1.43369832e-04\n", - " 25\t+2.2104048094656506e-01\t7.87652127e-05\n", - " 26\t+2.2104047690862835e-01\t1.39217014e-05\n", - " 27\t+2.2104047689800282e-01\t1.33400288e-05\n", - " 28\t+2.2104047685931880e-01\t1.09433285e-05\n", - " 29\t+2.2104047677977950e-01\t3.27906935e-07\n", - "Terminated - min grad norm reached after 29 iterations, 8.50 seconds.\n", - "\n" - ] - } - ], - "source": [ - "#%% Compute WDA\n", - "p = 2\n", - "reg = 1e0\n", - "k = 10\n", - "maxiter = 100\n", - "\n", - "Pwda, projwda = wda(xs, ys, p, reg, k, maxiter=maxiter)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot 2D projections\n", - "-------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "#%% plot samples\n", - "\n", - "xsp = projfda(xs)\n", - "xtp = projfda(xt)\n", - "\n", - "xspw = projwda(xs)\n", - "xtpw = projwda(xt)\n", - "\n", - "pl.figure(2)\n", - "\n", - "pl.subplot(2, 2, 1)\n", - "pl.scatter(xsp[:, 0], xsp[:, 1], c=ys, marker='+', label='Projected samples')\n", - "pl.legend(loc=0)\n", - "pl.title('Projected training samples FDA')\n", - "\n", - "pl.subplot(2, 2, 2)\n", - "pl.scatter(xtp[:, 0], xtp[:, 1], c=ys, marker='+', label='Projected samples')\n", - "pl.legend(loc=0)\n", - "pl.title('Projected test samples FDA')\n", - "\n", - "pl.subplot(2, 2, 3)\n", - "pl.scatter(xspw[:, 0], xspw[:, 1], c=ys, marker='+', label='Projected samples')\n", - "pl.legend(loc=0)\n", - "pl.title('Projected training samples WDA')\n", - "\n", - "pl.subplot(2, 2, 4)\n", - "pl.scatter(xtpw[:, 0], xtpw[:, 1], c=ys, marker='+', label='Projected samples')\n", - "pl.legend(loc=0)\n", - "pl.title('Projected test samples WDA')\n", - "pl.tight_layout()\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 2", - "language": "python", - "name": "python2" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 2 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.12" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_barycenter_1D.ipynb b/notebooks/plot_barycenter_1D.ipynb deleted file mode 100644 index 564028c..0000000 --- a/notebooks/plot_barycenter_1D.ipynb +++ /dev/null @@ -1,315 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# 1D Wasserstein barycenter demo\n", - "\n", - "\n", - "This example illustrates the computation of regularized Wassersyein Barycenter\n", - "as proposed in [3].\n", - "\n", - "\n", - "[3] Benamou, J. D., Carlier, G., Cuturi, M., Nenna, L., & Peyré, G. (2015).\n", - "Iterative Bregman projections for regularized transportation problems\n", - "SIAM Journal on Scientific Computing, 37(2), A1111-A1138.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Remi Flamary \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "# necessary for 3d plot even if not used\n", - "from mpl_toolkits.mplot3d import Axes3D # noqa\n", - "from matplotlib.collections import PolyCollection" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 100 # nb bins\n", - "\n", - "# bin positions\n", - "x = np.arange(n, dtype=np.float64)\n", - "\n", - "# Gaussian distributions\n", - "a1 = ot.datasets.make_1D_gauss(n, m=20, s=5) # m= mean, s= std\n", - "a2 = ot.datasets.make_1D_gauss(n, m=60, s=8)\n", - "\n", - "# creating matrix A containing all distributions\n", - "A = np.vstack((a1, a2)).T\n", - "n_distributions = A.shape[1]\n", - "\n", - "# loss matrix + normalization\n", - "M = ot.utils.dist0(n)\n", - "M /= M.max()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(6.4, 3))\n", - "for i in range(n_distributions):\n", - " pl.plot(x, A[:, i])\n", - "pl.title('Distributions')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Barycenter computation\n", - "----------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "alpha = 0.2 # 0<=alpha<=1\n", - "weights = np.array([1 - alpha, alpha])\n", - "\n", - "# l2bary\n", - "bary_l2 = A.dot(weights)\n", - "\n", - "# wasserstein\n", - "reg = 1e-3\n", - "bary_wass = ot.bregman.barycenter(A, M, reg, weights)\n", - "\n", - "pl.figure(2)\n", - "pl.clf()\n", - "pl.subplot(2, 1, 1)\n", - "for i in range(n_distributions):\n", - " pl.plot(x, A[:, i])\n", - "pl.title('Distributions')\n", - "\n", - "pl.subplot(2, 1, 2)\n", - "pl.plot(x, bary_l2, 'r', label='l2')\n", - "pl.plot(x, bary_wass, 'g', label='Wasserstein')\n", - "pl.legend()\n", - "pl.title('Barycenters')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Barycentric interpolation\n", - "-------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n_alpha = 11\n", - "alpha_list = np.linspace(0, 1, n_alpha)\n", - "\n", - "\n", - "B_l2 = np.zeros((n, n_alpha))\n", - "\n", - "B_wass = np.copy(B_l2)\n", - "\n", - "for i in range(0, n_alpha):\n", - " alpha = alpha_list[i]\n", - " weights = np.array([1 - alpha, alpha])\n", - " B_l2[:, i] = A.dot(weights)\n", - " B_wass[:, i] = ot.bregman.barycenter(A, M, reg, weights)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(3)\n", - "\n", - "cmap = pl.cm.get_cmap('viridis')\n", - "verts = []\n", - "zs = alpha_list\n", - "for i, z in enumerate(zs):\n", - " ys = B_l2[:, i]\n", - " verts.append(list(zip(x, ys)))\n", - "\n", - "ax = pl.gcf().gca(projection='3d')\n", - "\n", - "poly = PolyCollection(verts, facecolors=[cmap(a) for a in alpha_list])\n", - "poly.set_alpha(0.7)\n", - "ax.add_collection3d(poly, zs=zs, zdir='y')\n", - "ax.set_xlabel('x')\n", - "ax.set_xlim3d(0, n)\n", - "ax.set_ylabel('$\\\\alpha$')\n", - "ax.set_ylim3d(0, 1)\n", - "ax.set_zlabel('')\n", - "ax.set_zlim3d(0, B_l2.max() * 1.01)\n", - "pl.title('Barycenter interpolation with l2')\n", - "pl.tight_layout()\n", - "\n", - "pl.figure(4)\n", - "cmap = pl.cm.get_cmap('viridis')\n", - "verts = []\n", - "zs = alpha_list\n", - "for i, z in enumerate(zs):\n", - " ys = B_wass[:, i]\n", - " verts.append(list(zip(x, ys)))\n", - "\n", - "ax = pl.gcf().gca(projection='3d')\n", - "\n", - "poly = PolyCollection(verts, facecolors=[cmap(a) for a in alpha_list])\n", - "poly.set_alpha(0.7)\n", - "ax.add_collection3d(poly, zs=zs, zdir='y')\n", - "ax.set_xlabel('x')\n", - "ax.set_xlim3d(0, n)\n", - "ax.set_ylabel('$\\\\alpha$')\n", - "ax.set_ylim3d(0, 1)\n", - "ax.set_zlabel('')\n", - "ax.set_zlim3d(0, B_l2.max() * 1.01)\n", - "pl.title('Barycenter interpolation with Wasserstein')\n", - "pl.tight_layout()\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_barycenter_fgw.ipynb b/notebooks/plot_barycenter_fgw.ipynb deleted file mode 100644 index 6fb19af..0000000 --- a/notebooks/plot_barycenter_fgw.ipynb +++ /dev/null @@ -1,342 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "=================================\n", - "Plot graphs' barycenter using FGW\n", - "=================================\n", - "\n", - "This example illustrates the computation barycenter of labeled graphs using FGW\n", - "\n", - "Requires networkx >=2\n", - "\n", - ".. [18] Vayer Titouan, Chapel Laetitia, Flamary R{'e}mi, Tavenard Romain\n", - " and Courty Nicolas\n", - " \"Optimal Transport for structured data with application on graphs\"\n", - " International Conference on Machine Learning (ICML). 2019.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Titouan Vayer \n", - "#\n", - "# License: MIT License" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import networkx as nx\n", - "import math\n", - "from scipy.sparse.csgraph import shortest_path\n", - "import matplotlib.colors as mcol\n", - "from matplotlib import cm\n", - "from ot.gromov import fgw_barycenters" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def find_thresh(C, inf=0.5, sup=3, step=10):\n", - " \"\"\" Trick to find the adequate thresholds from where value of the C matrix are considered close enough to say that nodes are connected\n", - " Tthe threshold is found by a linesearch between values \"inf\" and \"sup\" with \"step\" thresholds tested.\n", - " The optimal threshold is the one which minimizes the reconstruction error between the shortest_path matrix coming from the thresholded adjency matrix\n", - " and the original matrix.\n", - " Parameters\n", - " ----------\n", - " C : ndarray, shape (n_nodes,n_nodes)\n", - " The structure matrix to threshold\n", - " inf : float\n", - " The beginning of the linesearch\n", - " sup : float\n", - " The end of the linesearch\n", - " step : integer\n", - " Number of thresholds tested\n", - " \"\"\"\n", - " dist = []\n", - " search = np.linspace(inf, sup, step)\n", - " for thresh in search:\n", - " Cprime = sp_to_adjency(C, 0, thresh)\n", - " SC = shortest_path(Cprime, method='D')\n", - " SC[SC == float('inf')] = 100\n", - " dist.append(np.linalg.norm(SC - C))\n", - " return search[np.argmin(dist)], dist\n", - "\n", - "\n", - "def sp_to_adjency(C, threshinf=0.2, threshsup=1.8):\n", - " \"\"\" Thresholds the structure matrix in order to compute an adjency matrix.\n", - " All values between threshinf and threshsup are considered representing connected nodes and set to 1. Else are set to 0\n", - " Parameters\n", - " ----------\n", - " C : ndarray, shape (n_nodes,n_nodes)\n", - " The structure matrix to threshold\n", - " threshinf : float\n", - " The minimum value of distance from which the new value is set to 1\n", - " threshsup : float\n", - " The maximum value of distance from which the new value is set to 1\n", - " Returns\n", - " -------\n", - " C : ndarray, shape (n_nodes,n_nodes)\n", - " The threshold matrix. Each element is in {0,1}\n", - " \"\"\"\n", - " H = np.zeros_like(C)\n", - " np.fill_diagonal(H, np.diagonal(C))\n", - " C = C - H\n", - " C = np.minimum(np.maximum(C, threshinf), threshsup)\n", - " C[C == threshsup] = 0\n", - " C[C != 0] = 1\n", - "\n", - " return C\n", - "\n", - "\n", - "def build_noisy_circular_graph(N=20, mu=0, sigma=0.3, with_noise=False, structure_noise=False, p=None):\n", - " \"\"\" Create a noisy circular graph\n", - " \"\"\"\n", - " g = nx.Graph()\n", - " g.add_nodes_from(list(range(N)))\n", - " for i in range(N):\n", - " noise = float(np.random.normal(mu, sigma, 1))\n", - " if with_noise:\n", - " g.add_node(i, attr_name=math.sin((2 * i * math.pi / N)) + noise)\n", - " else:\n", - " g.add_node(i, attr_name=math.sin(2 * i * math.pi / N))\n", - " g.add_edge(i, i + 1)\n", - " if structure_noise:\n", - " randomint = np.random.randint(0, p)\n", - " if randomint == 0:\n", - " if i <= N - 3:\n", - " g.add_edge(i, i + 2)\n", - " if i == N - 2:\n", - " g.add_edge(i, 0)\n", - " if i == N - 1:\n", - " g.add_edge(i, 1)\n", - " g.add_edge(N, 0)\n", - " noise = float(np.random.normal(mu, sigma, 1))\n", - " if with_noise:\n", - " g.add_node(N, attr_name=math.sin((2 * N * math.pi / N)) + noise)\n", - " else:\n", - " g.add_node(N, attr_name=math.sin(2 * N * math.pi / N))\n", - " return g\n", - "\n", - "\n", - "def graph_colors(nx_graph, vmin=0, vmax=7):\n", - " cnorm = mcol.Normalize(vmin=vmin, vmax=vmax)\n", - " cpick = cm.ScalarMappable(norm=cnorm, cmap='viridis')\n", - " cpick.set_array([])\n", - " val_map = {}\n", - " for k, v in nx.get_node_attributes(nx_graph, 'attr_name').items():\n", - " val_map[k] = cpick.to_rgba(v)\n", - " colors = []\n", - " for node in nx_graph.nodes():\n", - " colors.append(val_map[node])\n", - " return colors" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We build a dataset of noisy circular graphs.\n", - "Noise is added on the structures by random connections and on the features by gaussian noise.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "np.random.seed(30)\n", - "X0 = []\n", - "for k in range(9):\n", - " X0.append(build_noisy_circular_graph(np.random.randint(15, 25), with_noise=True, structure_noise=True, p=3))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(8, 10))\n", - "for i in range(len(X0)):\n", - " plt.subplot(3, 3, i + 1)\n", - " g = X0[i]\n", - " pos = nx.kamada_kawai_layout(g)\n", - " nx.draw(g, pos=pos, node_color=graph_colors(g, vmin=-1, vmax=1), with_labels=False, node_size=100)\n", - "plt.suptitle('Dataset of noisy graphs. Color indicates the label', fontsize=20)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Barycenter computation\n", - "----------------------\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Features distances are the euclidean distances\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "Cs = [shortest_path(nx.adjacency_matrix(x)) for x in X0]\n", - "ps = [np.ones(len(x.nodes())) / len(x.nodes()) for x in X0]\n", - "Ys = [np.array([v for (k, v) in nx.get_node_attributes(x, 'attr_name').items()]).reshape(-1, 1) for x in X0]\n", - "lambdas = np.array([np.ones(len(Ys)) / len(Ys)]).ravel()\n", - "sizebary = 15 # we choose a barycenter with 15 nodes\n", - "\n", - "A, C, log = fgw_barycenters(sizebary, Ys, Cs, ps, lambdas, alpha=0.95, log=True)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot Barycenter\n", - "-------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "bary = nx.from_numpy_matrix(sp_to_adjency(C, threshinf=0, threshsup=find_thresh(C, sup=100, step=100)[0]))\n", - "for i, v in enumerate(A.ravel()):\n", - " bary.add_node(i, attr_name=v)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pos = nx.kamada_kawai_layout(bary)\n", - "nx.draw(bary, pos=pos, node_color=graph_colors(bary, vmin=-1, vmax=1), with_labels=False)\n", - "plt.suptitle('Barycenter', fontsize=20)\n", - "plt.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_barycenter_lp_vs_entropic.ipynb b/notebooks/plot_barycenter_lp_vs_entropic.ipynb deleted file mode 100644 index b5d7895..0000000 --- a/notebooks/plot_barycenter_lp_vs_entropic.ipynb +++ /dev/null @@ -1,592 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# 1D Wasserstein barycenter comparison between exact LP and entropic regularization\n", - "\n", - "\n", - "This example illustrates the computation of regularized Wasserstein Barycenter\n", - "as proposed in [3] and exact LP barycenters using standard LP solver.\n", - "\n", - "It reproduces approximately Figure 3.1 and 3.2 from the following paper:\n", - "Cuturi, M., & Peyré, G. (2016). A smoothed dual approach for variational\n", - "Wasserstein problems. SIAM Journal on Imaging Sciences, 9(1), 320-343.\n", - "\n", - "[3] Benamou, J. D., Carlier, G., Cuturi, M., Nenna, L., & Peyré, G. (2015).\n", - "Iterative Bregman projections for regularized transportation problems\n", - "SIAM Journal on Scientific Computing, 37(2), A1111-A1138.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Remi Flamary \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "# necessary for 3d plot even if not used\n", - "from mpl_toolkits.mplot3d import Axes3D # noqa\n", - "from matplotlib.collections import PolyCollection # noqa\n", - "\n", - "#import ot.lp.cvx as cvx" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Gaussian Data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "problems = []\n", - "\n", - "n = 100 # nb bins\n", - "\n", - "# bin positions\n", - "x = np.arange(n, dtype=np.float64)\n", - "\n", - "# Gaussian distributions\n", - "# Gaussian distributions\n", - "a1 = ot.datasets.make_1D_gauss(n, m=20, s=5) # m= mean, s= std\n", - "a2 = ot.datasets.make_1D_gauss(n, m=60, s=8)\n", - "\n", - "# creating matrix A containing all distributions\n", - "A = np.vstack((a1, a2)).T\n", - "n_distributions = A.shape[1]\n", - "\n", - "# loss matrix + normalization\n", - "M = ot.utils.dist0(n)\n", - "M /= M.max()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(6.4, 3))\n", - "for i in range(n_distributions):\n", - " pl.plot(x, A[:, i])\n", - "pl.title('Distributions')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Elapsed time : 0.008066177368164062 s\n", - "Primal Feasibility Dual Feasibility Duality Gap Step Path Parameter Objective \n", - "1.0 1.0 1.0 - 1.0 1700.336700337 \n", - "0.006776453137632 0.006776453137632 0.006776453137632 0.9932238647293 0.006776453137632 125.6700527543 \n", - "0.004018712867873 0.004018712867873 0.004018712867873 0.4301142633001 0.004018712867873 12.26594150092 \n", - "0.001172775061627 0.001172775061627 0.001172775061627 0.7599932455027 0.001172775061627 0.3378536968898 \n", - "0.0004375137005386 0.0004375137005386 0.0004375137005386 0.6422331807989 0.0004375137005386 0.1468420566359 \n", - "0.0002326690467339 0.0002326690467339 0.0002326690467339 0.5016999460898 0.0002326690467339 0.09381703231428 \n", - "7.430121674299e-05 7.4301216743e-05 7.430121674299e-05 0.7035962305811 7.430121674299e-05 0.05777870257169 \n", - "5.321227838943e-05 5.321227838945e-05 5.321227838944e-05 0.3087841864307 5.321227838944e-05 0.05266249477219 \n", - "1.990900379216e-05 1.99090037922e-05 1.990900379216e-05 0.6520472013271 1.990900379216e-05 0.04526054405523 \n", - "6.305442046834e-06 6.305442046856e-06 6.305442046837e-06 0.7073953304085 6.305442046837e-06 0.04237597591384 \n", - "2.290148391591e-06 2.290148391631e-06 2.290148391602e-06 0.6941812711476 2.29014839161e-06 0.04152284932101 \n", - "1.182864875578e-06 1.182864875548e-06 1.182864875555e-06 0.5084552046229 1.182864875567e-06 0.04129461872829 \n", - "3.626786386894e-07 3.626786386985e-07 3.626786386845e-07 0.7101651569095 3.626786385995e-07 0.0411303244893 \n", - "1.539754244475e-07 1.539754247164e-07 1.539754247197e-07 0.6279322077522 1.539754251915e-07 0.04108867636377 \n", - "5.193221608537e-08 5.19322169648e-08 5.193221696942e-08 0.6843453280956 5.193221892276e-08 0.04106859618454 \n", - "1.888205219929e-08 1.88820500654e-08 1.888205006369e-08 0.6673443828803 1.888205852187e-08 0.04106214175236 \n", - "5.676837529301e-09 5.676842740457e-09 5.676842761502e-09 0.7281712198286 5.676877044229e-09 0.04105958648535 \n", - "3.501170987746e-09 3.501167688027e-09 3.501167721804e-09 0.4140142115019 3.501183058995e-09 0.04105916265728 \n", - "1.110582426269e-09 1.110580273241e-09 1.110580239523e-09 0.6999003212726 1.110624310022e-09 0.04105870073273 \n", - "5.768753963318e-10 5.769422203363e-10 5.769421938248e-10 0.5002521235315 5.767522037401e-10 0.04105859764872 \n", - "1.534102102874e-10 1.535920569433e-10 1.535921107494e-10 0.7516900610544 1.535251083958e-10 0.04105851678411 \n", - "6.717475002202e-11 6.735435784522e-11 6.735430717133e-11 0.5944268235824 6.732253215483e-11 0.04105850033323 \n", - "1.751321118837e-11 1.74043080851e-11 1.740429001123e-11 0.7566075167358 1.736956306927e-11 0.0410584908946 \n", - "Optimization terminated successfully.\n", - " Current function value: 0.041058 \n", - " Iterations: 22\n", - "Elapsed time : 2.3570468425750732 s\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "alpha = 0.5 # 0<=alpha<=1\n", - "weights = np.array([1 - alpha, alpha])\n", - "\n", - "# l2bary\n", - "bary_l2 = A.dot(weights)\n", - "\n", - "# wasserstein\n", - "reg = 1e-3\n", - "ot.tic()\n", - "bary_wass = ot.bregman.barycenter(A, M, reg, weights)\n", - "ot.toc()\n", - "\n", - "\n", - "ot.tic()\n", - "bary_wass2 = ot.lp.barycenter(A, M, weights, solver='interior-point', verbose=True)\n", - "ot.toc()\n", - "\n", - "pl.figure(2)\n", - "pl.clf()\n", - "pl.subplot(2, 1, 1)\n", - "for i in range(n_distributions):\n", - " pl.plot(x, A[:, i])\n", - "pl.title('Distributions')\n", - "\n", - "pl.subplot(2, 1, 2)\n", - "pl.plot(x, bary_l2, 'r', label='l2')\n", - "pl.plot(x, bary_wass, 'g', label='Reg Wasserstein')\n", - "pl.plot(x, bary_wass2, 'b', label='LP Wasserstein')\n", - "pl.legend()\n", - "pl.title('Barycenters')\n", - "pl.tight_layout()\n", - "\n", - "problems.append([A, [bary_l2, bary_wass, bary_wass2]])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Stair Data\n", - "----------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "a1 = 1.0 * (x > 10) * (x < 50)\n", - "a2 = 1.0 * (x > 60) * (x < 80)\n", - "\n", - "a1 /= a1.sum()\n", - "a2 /= a2.sum()\n", - "\n", - "# creating matrix A containing all distributions\n", - "A = np.vstack((a1, a2)).T\n", - "n_distributions = A.shape[1]\n", - "\n", - "# loss matrix + normalization\n", - "M = ot.utils.dist0(n)\n", - "M /= M.max()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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Tlflf/GZLIYmRUnFA+hRdU1xQvaboO2UkwaGYo/JUxYNsbNlGS8XBGH1a/7L3Mm+tzfcpuvk0BQ7FHJXdfGorMDowNcX66FNPO2qp4BVtUuJQzFHZzae2AiOlwmAMtJlvPnVNsaWip2SkxKGYI/cp2kqMrl1DebqadzEWV68Bufm0Na9okxSHYo7KnpJhKzBaKlCeGoAmt/kpGW4+bcm3jkqKQzEn05Uqs9VgnfsUbZlqfYqDUFP0Mm8L8jJvSekoFCXtkHRA0qSkPS32lyTdku2/U9JYtv3nJN0j6dvZ32/qbvEHV31+2chwIeeS2KAaKRUHpE/RA20W5GXekrJoKEoqANcBFwPbgEslbWs67DLgyYjYAlwLXJNtfxx4S0T8A2A3sLdbBR909V/4o14I3JZpXanIiZkKEZF3URZW/7J3n2Jrbj5NSic1xQuByYg4GBEzwM3AzqZjdgI3ZY/3ARdJUkTcGxE/zLbvB54jyf8zOLk812jJNUVbnpFSkQh4ZibxJlQvCL4wCYbWOBQT0UkobgAeaXh+KNvW8piIqADHgHOajvmXwDci4rQ2AkmXS5qQNHHkyJFOyz7QToaia4q2PAOzKLhDcXHFkle0SURfBtpIeiW1JtV/3Wp/RFwfEdsjYvv69ev7UaTc1Sddj7imaMs0MIuCV72izaIKw64pJqKTUDwMbGp4vjHb1vIYSUXgLOBo9nwj8EXg3RHx4EoLvFrUl+fy6FNbrvlQTH1R8IpriosqDHuZt0R0Eop3A1slbZY0DOwCxpuOGac2kAbgEuD2iAhJzwf+D7AnIv5ftwq9GpysKToUbXlGBuVGw9UZUAGG3CrSVnHYy7wlYtFQzPoIrwBuAx4APh8R+yVdLemt2WE3AOdImgTeD9SnbVwBbAGulPTN7M8Luv6vGED1X/de0caWq37tJL8oeHXatcTFFIY9JSMRHX0jR8StwK1N265seDwFvL3F634P+L0VlnFVqvcD+S4Ztlyjg1JTrMycnKBurRVK7lNMhFe0yUl5usLIcIGhIeVdFBtQAzX61DXFhRU8JSMVDsWcnPC6p7ZCAzX61Eu8LaxYcvNpIhyKOTnueynaCpWKQxSHlP7o06qbTxdV8ECbVDgUc+LbRtlKSWJkEG40XPFAm0V5SkYyHIo5KU85FG3lRkvFARh9OutQXEzRA21S4VDMie+laN0wOgg1RU/JWFxhjZd5S4RDMSfl6QrrHIq2QqNrB+D2UdVZL/G2GE/JSIZDMScefWrdULunYuJ3yahM+16Ki/Hap8lwKOak7NGn1gXrSkXKU4mPWqxOe0rGYope0SYVDsUcTFeqzFbDA21sxUZKhfkbVierOuspGYsplDwlIxEOxRzU55WNDHuBZFuZWvNp4n2KnpKxuMIaT8lIhEMxB/Vf9qNr3c9iK7OuVOTETIW5uci7KO1VZ918uhhPyUiGQzEHx6drzSSjvsGwrdBIqUgEPDObcBNq1QNtFlUYhpiDauK1/jOAQzEH8zXFkr8obGXqg7WSnqtYnfGUjMXUm5ddW8ydQzEH5aymOOKaoq3Q/D0VU17/tOK7ZCxqPhTdr5g3h2IO6vPK1nlKhq3QQNxT0SvaLK4+Oter2uTOoZiD+dGnnpJhKzSS+u2j5uZgruLm08XUByK5+TR3DsUc1H/Ve56irVTy91Ssf8l7oM3C3KeYjI5CUdIOSQckTUra02J/SdIt2f47JY1l28+RdIeksqRPdrfog6v+BTYy7FC0lUm++XQ+FF1TXFDRoZiKRUNRUgG4DrgY2AZcKmlb02GXAU9GxBbgWuCabPsU8FHgg10r8SpQnq4wMlxgaEh5F8UGXH30afo1RfcpLqh+frzUW+46qSleCExGxMGImAFuBnY2HbMTuCl7vA+4SJIi4kREfJVaOFrGi4FbtwxM86mXeVvYfJ+il3rLWyehuAF4pOH5oWxby2MiogIcA87pRgFXo+NeDNy6pFQcojik+cFbyanXfFxTXFi9z9VTMnKXxEAbSZdLmpA0ceTIkbyL03MnpiseZGNdIYmRlG807ObTztRH57r5NHedhOJhYFPD843ZtpbHSCoCZwFHOy1ERFwfEdsjYvv69es7fdnAKk85FK17RktFjqceip6SsbD50aduPs1bJ6F4N7BV0mZJw8AuYLzpmHFgd/b4EuD2iEh4heJ8ld2naF00mnJNseKaYke8ok0yFv1mjoiKpCuA24ACcGNE7Jd0NTAREePADcBeSZPAE9SCEwBJ3weeBwxLehvwzyLi/u7/UwZHebrCOoeidcno2oRvH+Xm084UPdAmFR19M0fErcCtTduubHg8Bby9zWvHVlC+VcmjT62bRkpFjj2b6Jdp1QNtOlIfaOM+xdwlMdDmTFP26FPronWlIuWpVEMxK5f7FBfmZd6S4VDss+lKldlqeKCNdc1IqTB/O7LkzE/J8DJvC/Iyb8lwKPZZfT6ZQ9G6ZbS0JuE+xXoouqa4oKJXtEmFQ7HP6r/o3ado3TJaKnBipsLcXIIDvuebT92nuCA3nybDodhnx7MbDLumaN0yurZIBDwzm2ATqle06cz8ijYOxbw5FPusXlN0KFq3jKR8pwzfJaMzUu2Hg0Mxdw7FPivXa4oefWpdUv+BdTzF9U99P8XOFYZPLnZguXEo9ll5vqZYyLkktlokfU9FL/PWOdcUk+BQ7LP66FMPtLFuGUn59lFe5q1zhWEv85YAh2Kf1X/Nu0/RuiXpeypWp0EFGHLLyKKKbj5NgUOxz+p3MxgZdihad8yHYqp9iq4ldsbNp0lwKPbZiekKI8MFhoaUd1FslagP2joxk2AoVmY8R7FThZJDMQEOxT4rT3kxcOuu5EefejpGZ4quKabAodhn5RkvBm7dVSoOURxSuqNP3XzamcKwl3lLgEOxz8pTFQ+ysa6SxEgp0XsqVt182rHCsO+nmACHYp+dmHYoWveNphqKlWnXFDvlKRlJcCj2Wdk3GLYeGC0V3Xw66IolT8lIgEOxz8rTFdY5FK3LRtcmWlN0KHausMYDbRLgUOyzE64pWg/U+hRTvEvGjJd461Sh5ObTBHQUipJ2SDogaVLSnhb7S5JuyfbfKWmsYd+Hsu0HJP1894o+mMrTHn1q3beuVKQ8leAgDdcUO1f0QJsULBqKkgrAdcDFwDbgUknbmg67DHgyIrYA1wLXZK/dBuwCXgnsAD6Vvd8ZabpSZbYaHmhjXTdSKszfliwpVQ+06ZinZCShk2/nC4HJiDgIIOlmYCdwf8MxO4Grssf7gE9KUrb95oiYBh6SNJm939e6U/z2vnPX3zB94qlef8ySTM1UeePQg7zs6Sfhew/lXRxbRS6Yepinnn2Mb93xRN5FOcVLn36c44UXsv/AY3kXJXlbnq7youkT3HfHn+RdlGSdvfGlbNp6fk8/o5NQ3AA80vD8EPDadsdEREXSMeCcbPvXm167ofkDJF0OXA5w3nnndVr2BQ399Yc5v/LdrrxXN712GLg3+2PWJe8E3lkAvpR3SU73xWMv48OTd+ddjORdUXiGD655lvO/9N68i5Ksr238VTZtvbann5FEO15EXA9cD7B9+/boxnuu+Ref4sAzx7vxVl21pjjE2NkjXvvUuqoyN8dDj59gbq4r/326atvZL+eLxefkXYz0zb2GA0ffBTGXd0mStfmF3ak0LaSTUDwMbGp4vjHb1uqYQ5KKwFnA0Q5f2xObt72mHx9jloQisLX33xfWa2MvyLsEZ7xORp/eDWyVtFnSMLWBM+NNx4wDu7PHlwC3R0Rk23dlo1M3A1uBu7pTdDMzs+5atKaY9RFeAdwGFIAbI2K/pKuBiYgYB24A9mYDaZ6gFpxkx32e2qCcCvDrEZHgEDkzMzNQrUKXju3bt8fExETexTAzs1VK0j0Rsb3VPq9oY2ZmlnEompmZZZJrPpV0BPhBl97uXODxLr3XaudztTQ+X53zueqcz9XSLPd8vTgi1rfakVwodpOkiXbtxnYqn6ul8fnqnM9V53yulqYX58vNp2ZmZhmHopmZWWa1h+L1eRdggPhcLY3PV+d8rjrnc7U0XT9fq7pP0czMbClWe03RzMysYw5FMzOzzKoMRUk7JB2QNClpT97lSY2kTZLukHS/pP2SfjPbfrakv5H0vezvn8i7rKmQVJB0r6S/yJ5vlnRndo3dki2Wf8aT9HxJ+yR9R9IDkv6hr6v2JP1W9n/wPkmfk7TW11aNpBslPSbpvoZtLa8l1fxhds7+XtJPL/dzV10oSioA1wEXA9uASyVty7dUyakAH4iIbcDrgF/PztEe4O8iYivwd9lzq/lN4IGG59cA10bEFuBJ4LJcSpWeTwB/FREvB86nds58XbUgaQPwG8D2iHgVtRsu7MLXVt1ngB1N29pdSxdTuwvTVmo3rP+j5X7oqgtF4EJgMiIORsQMcDOwM+cyJSUifhQR38geH6f2xbWB2nm6KTvsJuBt+ZQwLZI2Ar8IfDp7LuBNwL7sEJ8rQNJZwM9Qu2sOETETEU/h62ohReA52X1onwv8CF9bAETEl6nddalRu2tpJ/DZqPk68HxJP7mcz12NobgBeKTh+aFsm7UgaQx4NXAn8MKI+FG268fAC3MqVmr+C/DbQP2W6OcAT0VEJXvua6xmM3AE+O9ZU/OnJY3g66qliDgM/GfgYWpheAy4B19bC2l3LXXte381hqJ1SNIo8AXg30bE0437sptEn/HzdSS9GXgsIu7JuywDoAj8NPBHEfFq4ARNTaW+rk7K+sN2Uvsx8SJghNObC62NXl1LqzEUDwObGp5vzLZZA0lrqAXi/4yIP802P1pvcsj+fiyv8iXkHwNvlfR9ak3xb6LWb/b8rMkLfI3VHQIORcSd2fN91ELS11VrPws8FBFHImIW+FNq15uvrfbaXUtd+95fjaF4N7A1G8E1TK3jejznMiUl6xO7AXggIj7esGsc2J093g38Wb/LlpqI+FBEbIyIMWrX0u0R8cvAHcAl2WE+V0BE/Bh4RNLLsk0XAffj66qdh4HXSXpu9n+yfr58bbXX7loaB96djUJ9HXCsoZl1SVblijaSfoFaP1ABuDEi/n3ORUqKpNcDXwG+zcl+sg9T61f8PHAetdt3/VJENHd0n7EkvRH4YES8WdJLqNUczwbuBd4VEdN5li8Fki6gNiBpGDgIvIfaj29fVy1I+hjwDmojwu8F3kutL+yMv7YkfQ54I7XbQz0K/Dvgf9PiWsp+VHySWvPzM8B7ImJiWZ+7GkPRzMxsOVZj86mZmdmyOBTNzMwyDkUzM7OMQ9HMzCzjUDQzM8s4FM3MzDIORTMzs8z/B1okJ462XUIQAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(6.4, 3))\n", - "for i in range(n_distributions):\n", - " pl.plot(x, A[:, i])\n", - "pl.title('Distributions')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Elapsed time : 0.007988214492797852 s\n", - "Primal Feasibility Dual Feasibility Duality Gap Step Path Parameter Objective \n", - "1.0 1.0 1.0 - 1.0 1700.336700337 \n", - "0.006776466288938 0.006776466288938 0.006776466288938 0.9932238515788 0.006776466288938 125.66492558 \n", - "0.004036918865472 0.004036918865472 0.004036918865472 0.4272973099325 0.004036918865472 12.347161701 \n", - "0.001219232687076 0.001219232687076 0.001219232687076 0.7496986855957 0.001219232687076 0.3243835647418 \n", - "0.0003837422984467 0.0003837422984467 0.0003837422984467 0.6926882608271 0.0003837422984467 0.1361719397498 \n", - "0.0001070128410194 0.0001070128410194 0.0001070128410194 0.7643889137854 0.0001070128410194 0.07581952832542 \n", - "0.0001001275033713 0.0001001275033714 0.0001001275033713 0.07058704838615 0.0001001275033713 0.07347394936346 \n", - "4.550897507807e-05 4.550897507807e-05 4.550897507807e-05 0.576117248486 4.550897507807e-05 0.05555077655034 \n", - "8.557124125834e-06 8.557124125853e-06 8.557124125835e-06 0.853592544106 8.557124125835e-06 0.0443981466023 \n", - "3.611995628666e-06 3.611995628643e-06 3.611995628672e-06 0.6002277331398 3.611995628673e-06 0.0428300776216 \n", - "7.590393750111e-07 7.590393750273e-07 7.590393750129e-07 0.8221486533655 7.590393750133e-07 0.04192322976247 \n", - "8.299929287077e-08 8.299929283415e-08 8.299929287126e-08 0.901746793884 8.299929287181e-08 0.04170825633295 \n", - "3.117560207452e-10 3.117560192413e-10 3.117560199213e-10 0.9970399692253 3.117560200234e-10 0.04168179329766 \n", - "1.559774508975e-14 1.559825507727e-14 1.559755309294e-14 0.9999499686993 1.559748033629e-14 0.04168169240444 \n", - "Optimization terminated successfully.\n", - " Current function value: 0.041682 \n", - " Iterations: 13\n", - "Elapsed time : 1.8278961181640625 s\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "alpha = 0.5 # 0<=alpha<=1\n", - "weights = np.array([1 - alpha, alpha])\n", - "\n", - "# l2bary\n", - "bary_l2 = A.dot(weights)\n", - "\n", - "# wasserstein\n", - "reg = 1e-3\n", - "ot.tic()\n", - "bary_wass = ot.bregman.barycenter(A, M, reg, weights)\n", - "ot.toc()\n", - "\n", - "\n", - "ot.tic()\n", - "bary_wass2 = ot.lp.barycenter(A, M, weights, solver='interior-point', verbose=True)\n", - "ot.toc()\n", - "\n", - "\n", - "problems.append([A, [bary_l2, bary_wass, bary_wass2]])\n", - "\n", - "pl.figure(2)\n", - "pl.clf()\n", - "pl.subplot(2, 1, 1)\n", - "for i in range(n_distributions):\n", - " pl.plot(x, A[:, i])\n", - "pl.title('Distributions')\n", - "\n", - "pl.subplot(2, 1, 2)\n", - "pl.plot(x, bary_l2, 'r', label='l2')\n", - "pl.plot(x, bary_wass, 'g', label='Reg Wasserstein')\n", - "pl.plot(x, bary_wass2, 'b', label='LP Wasserstein')\n", - "pl.legend()\n", - "pl.title('Barycenters')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Dirac Data\n", - "----------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "a1 = np.zeros(n)\n", - "a2 = np.zeros(n)\n", - "\n", - "a1[10] = .25\n", - "a1[20] = .5\n", - "a1[30] = .25\n", - "a2[80] = 1\n", - "\n", - "\n", - "a1 /= a1.sum()\n", - "a2 /= a2.sum()\n", - "\n", - "# creating matrix A containing all distributions\n", - "A = np.vstack((a1, a2)).T\n", - "n_distributions = A.shape[1]\n", - "\n", - "# loss matrix + normalization\n", - "M = ot.utils.dist0(n)\n", - "M /= M.max()" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(6.4, 3))\n", - "for i in range(n_distributions):\n", - " pl.plot(x, A[:, i])\n", - "pl.title('Distributions')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Elapsed time : 0.0016779899597167969 s\n", - "Primal Feasibility Dual Feasibility Duality Gap Step Path Parameter Objective \n", - "1.0 1.0 1.0 - 1.0 1700.336700337 \n", - "0.00677467552072 0.006774675520719 0.006774675520719 0.9932256422636 0.006774675520719 125.6956034741 \n", - "0.002048208707556 0.002048208707555 0.002048208707555 0.734309536815 0.002048208707555 5.213991622102 \n", - "0.0002697365474791 0.0002697365474791 0.0002697365474791 0.8839403501183 0.0002697365474791 0.5059383903908 \n", - "6.832109993919e-05 6.832109993918e-05 6.832109993918e-05 0.7601171075982 6.832109993918e-05 0.2339657807271 \n", - "2.437682932221e-05 2.437682932221e-05 2.437682932221e-05 0.6663448297463 2.437682932221e-05 0.1471256246325 \n", - "1.134983216308e-05 1.134983216308e-05 1.134983216308e-05 0.5553643816417 1.134983216308e-05 0.1181584941171 \n", - "3.342312725863e-06 3.34231272585e-06 3.342312725863e-06 0.7238133571629 3.342312725863e-06 0.1006387519746 \n", - "7.078561231536e-07 7.078561231537e-07 7.078561231535e-07 0.803314255252 7.078561231535e-07 0.09474734646268 \n", - "1.966870949422e-07 1.966870952674e-07 1.966870952717e-07 0.7525479180433 1.966870953014e-07 0.09354342735758 \n", - "4.199895266495e-10 4.199895367352e-10 4.19989526535e-10 0.9984019849265 4.199895265747e-10 0.09310367785861 \n", - "2.101053559204e-14 2.100331212975e-14 2.101054034304e-14 0.9999499736903 2.101053604307e-14 0.09310274466458 \n", - "Optimization terminated successfully.\n", - " Current function value: 0.093103 \n", - " Iterations: 11\n", - "Elapsed time : 1.8065369129180908 s\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "alpha = 0.5 # 0<=alpha<=1\n", - "weights = np.array([1 - alpha, alpha])\n", - "\n", - "# l2bary\n", - "bary_l2 = A.dot(weights)\n", - "\n", - "# wasserstein\n", - "reg = 1e-3\n", - "ot.tic()\n", - "bary_wass = ot.bregman.barycenter(A, M, reg, weights)\n", - "ot.toc()\n", - "\n", - "\n", - "ot.tic()\n", - "bary_wass2 = ot.lp.barycenter(A, M, weights, solver='interior-point', verbose=True)\n", - "ot.toc()\n", - "\n", - "\n", - "problems.append([A, [bary_l2, bary_wass, bary_wass2]])\n", - "\n", - "pl.figure(2)\n", - "pl.clf()\n", - "pl.subplot(2, 1, 1)\n", - "for i in range(n_distributions):\n", - " pl.plot(x, A[:, i])\n", - "pl.title('Distributions')\n", - "\n", - "pl.subplot(2, 1, 2)\n", - "pl.plot(x, bary_l2, 'r', label='l2')\n", - "pl.plot(x, bary_wass, 'g', label='Reg Wasserstein')\n", - "pl.plot(x, bary_wass2, 'b', label='LP Wasserstein')\n", - "pl.legend()\n", - "pl.title('Barycenters')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Final figure\n", - "------------\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "nbm = len(problems)\n", - "nbm2 = (nbm // 2)\n", - "\n", - "\n", - "pl.figure(2, (20, 6))\n", - "pl.clf()\n", - "\n", - "for i in range(nbm):\n", - "\n", - " A = problems[i][0]\n", - " bary_l2 = problems[i][1][0]\n", - " bary_wass = problems[i][1][1]\n", - " bary_wass2 = problems[i][1][2]\n", - "\n", - " pl.subplot(2, nbm, 1 + i)\n", - " for j in range(n_distributions):\n", - " pl.plot(x, A[:, j])\n", - " if i == nbm2:\n", - " pl.title('Distributions')\n", - " pl.xticks(())\n", - " pl.yticks(())\n", - "\n", - " pl.subplot(2, nbm, 1 + i + nbm)\n", - "\n", - " pl.plot(x, bary_l2, 'r', label='L2 (Euclidean)')\n", - " pl.plot(x, bary_wass, 'g', label='Reg Wasserstein')\n", - " pl.plot(x, bary_wass2, 'b', label='LP Wasserstein')\n", - " if i == nbm - 1:\n", - " pl.legend()\n", - " if i == nbm2:\n", - " pl.title('Barycenters')\n", - "\n", - " pl.xticks(())\n", - " pl.yticks(())" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_compute_emd.ipynb b/notebooks/plot_compute_emd.ipynb deleted file mode 100644 index 5ee6641..0000000 --- a/notebooks/plot_compute_emd.ipynb +++ /dev/null @@ -1,247 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# Plot multiple EMD\n", - "\n", - "\n", - "Shows how to compute multiple EMD and Sinkhorn with two differnt\n", - "ground metrics and plot their values for diffeent distributions.\n", - "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Remi Flamary \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "from ot.datasets import make_1D_gauss as gauss" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 100 # nb bins\n", - "n_target = 50 # nb target distributions\n", - "\n", - "\n", - "# bin positions\n", - "x = np.arange(n, dtype=np.float64)\n", - "\n", - "lst_m = np.linspace(20, 90, n_target)\n", - "\n", - "# Gaussian distributions\n", - "a = gauss(n, m=20, s=5) # m= mean, s= std\n", - "\n", - "B = np.zeros((n, n_target))\n", - "\n", - "for i, m in enumerate(lst_m):\n", - " B[:, i] = gauss(n, m=m, s=5)\n", - "\n", - "# loss matrix and normalization\n", - "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)), 'euclidean')\n", - "M /= M.max()\n", - "M2 = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)), 'sqeuclidean')\n", - "M2 /= M2.max()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1)\n", - "pl.subplot(2, 1, 1)\n", - "pl.plot(x, a, 'b', label='Source distribution')\n", - "pl.title('Source distribution')\n", - "pl.subplot(2, 1, 2)\n", - "pl.plot(x, B, label='Target distributions')\n", - "pl.title('Target distributions')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute EMD for the different losses\n", - "------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "d_emd = ot.emd2(a, B, M) # direct computation of EMD\n", - "d_emd2 = ot.emd2(a, B, M2) # direct computation of EMD with loss M2\n", - "\n", - "\n", - "pl.figure(2)\n", - "pl.plot(d_emd, label='Euclidean EMD')\n", - "pl.plot(d_emd2, label='Squared Euclidean EMD')\n", - "pl.title('EMD distances')\n", - "pl.legend()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute Sinkhorn for the different losses\n", - "-----------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "reg = 1e-2\n", - "d_sinkhorn = ot.sinkhorn2(a, B, M, reg)\n", - "d_sinkhorn2 = ot.sinkhorn2(a, B, M2, reg)\n", - "\n", - "pl.figure(2)\n", - "pl.clf()\n", - "pl.plot(d_emd, label='Euclidean EMD')\n", - "pl.plot(d_emd2, label='Squared Euclidean EMD')\n", - "pl.plot(d_sinkhorn, '+', label='Euclidean Sinkhorn')\n", - "pl.plot(d_sinkhorn2, '+', label='Squared Euclidean Sinkhorn')\n", - "pl.title('EMD distances')\n", - "pl.legend()\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_convolutional_barycenter.ipynb b/notebooks/plot_convolutional_barycenter.ipynb deleted file mode 100644 index 4dba332..0000000 --- a/notebooks/plot_convolutional_barycenter.ipynb +++ /dev/null @@ -1,178 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# Convolutional Wasserstein Barycenter example\n", - "\n", - "\n", - "This example is designed to illustrate how the Convolutional Wasserstein Barycenter\n", - "function of POT works.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Nicolas Courty \n", - "#\n", - "# License: MIT License\n", - "\n", - "\n", - "import numpy as np\n", - "import pylab as pl\n", - "import ot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Data preparation\n", - "----------------\n", - "\n", - "The four distributions are constructed from 4 simple images\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "f1 = 1 - pl.imread('../data/redcross.png')[:, :, 2]\n", - "f2 = 1 - pl.imread('../data/duck.png')[:, :, 2]\n", - "f3 = 1 - pl.imread('../data/heart.png')[:, :, 2]\n", - "f4 = 1 - pl.imread('../data/tooth.png')[:, :, 2]\n", - "\n", - "A = []\n", - "f1 = f1 / np.sum(f1)\n", - "f2 = f2 / np.sum(f2)\n", - "f3 = f3 / np.sum(f3)\n", - "f4 = f4 / np.sum(f4)\n", - "A.append(f1)\n", - "A.append(f2)\n", - "A.append(f3)\n", - "A.append(f4)\n", - "A = np.array(A)\n", - "\n", - "nb_images = 5\n", - "\n", - "# those are the four corners coordinates that will be interpolated by bilinear\n", - "# interpolation\n", - "v1 = np.array((1, 0, 0, 0))\n", - "v2 = np.array((0, 1, 0, 0))\n", - "v3 = np.array((0, 0, 1, 0))\n", - "v4 = np.array((0, 0, 0, 1))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Barycenter computation and visualization\n", - "----------------------------------------\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(figsize=(10, 10))\n", - "pl.title('Convolutional Wasserstein Barycenters in POT')\n", - "cm = 'Blues'\n", - "# regularization parameter\n", - "reg = 0.004\n", - "for i in range(nb_images):\n", - " for j in range(nb_images):\n", - " pl.subplot(nb_images, nb_images, i * nb_images + j + 1)\n", - " tx = float(i) / (nb_images - 1)\n", - " ty = float(j) / (nb_images - 1)\n", - "\n", - " # weights are constructed by bilinear interpolation\n", - " tmp1 = (1 - tx) * v1 + tx * v2\n", - " tmp2 = (1 - tx) * v3 + tx * v4\n", - " weights = (1 - ty) * tmp1 + ty * tmp2\n", - "\n", - " if i == 0 and j == 0:\n", - " pl.imshow(f1, cmap=cm)\n", - " pl.axis('off')\n", - " elif i == 0 and j == (nb_images - 1):\n", - " pl.imshow(f3, cmap=cm)\n", - " pl.axis('off')\n", - " elif i == (nb_images - 1) and j == 0:\n", - " pl.imshow(f2, cmap=cm)\n", - " pl.axis('off')\n", - " elif i == (nb_images - 1) and j == (nb_images - 1):\n", - " pl.imshow(f4, cmap=cm)\n", - " pl.axis('off')\n", - " else:\n", - " # call to barycenter computation\n", - " pl.imshow(ot.bregman.convolutional_barycenter2d(A, reg, weights), cmap=cm)\n", - " pl.axis('off')\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_fgw.ipynb b/notebooks/plot_fgw.ipynb deleted file mode 100644 index a4c7329..0000000 --- a/notebooks/plot_fgw.ipynb +++ /dev/null @@ -1,365 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# Plot Fused-gromov-Wasserstein\n", - "\n", - "\n", - "This example illustrates the computation of FGW for 1D measures[18].\n", - "\n", - ".. [18] Vayer Titouan, Chapel Laetitia, Flamary R{'e}mi, Tavenard Romain\n", - " and Courty Nicolas\n", - " \"Optimal Transport for structured data with application on graphs\"\n", - " International Conference on Machine Learning (ICML). 2019.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Titouan Vayer \n", - "#\n", - "# License: MIT License\n", - "\n", - "import matplotlib.pyplot as pl\n", - "import numpy as np\n", - "import ot\n", - "from ot.gromov import gromov_wasserstein, fused_gromov_wasserstein" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We create two 1D random measures\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 20 # number of points in the first distribution\n", - "n2 = 30 # number of points in the second distribution\n", - "sig = 1 # std of first distribution\n", - "sig2 = 0.1 # std of second distribution\n", - "\n", - "np.random.seed(0)\n", - "\n", - "phi = np.arange(n)[:, None]\n", - "xs = phi + sig * np.random.randn(n, 1)\n", - "ys = np.vstack((np.ones((n // 2, 1)), 0 * np.ones((n // 2, 1)))) + sig2 * np.random.randn(n, 1)\n", - "\n", - "phi2 = np.arange(n2)[:, None]\n", - "xt = phi2 + sig * np.random.randn(n2, 1)\n", - "yt = np.vstack((np.ones((n2 // 2, 1)), 0 * np.ones((n2 // 2, 1)))) + sig2 * np.random.randn(n2, 1)\n", - "yt = yt[::-1, :]\n", - "\n", - "p = ot.unif(n)\n", - "q = ot.unif(n2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.close(10)\n", - "pl.figure(10, (7, 7))\n", - "\n", - "pl.subplot(2, 1, 1)\n", - "\n", - "pl.scatter(ys, xs, c=phi, s=70)\n", - "pl.ylabel('Feature value a', fontsize=20)\n", - "pl.title('$\\mu=\\sum_i \\delta_{x_i,a_i}$', fontsize=25, usetex=True, y=1)\n", - "pl.xticks(())\n", - "pl.yticks(())\n", - "pl.subplot(2, 1, 2)\n", - "pl.scatter(yt, xt, c=phi2, s=70)\n", - "pl.xlabel('coordinates x/y', fontsize=25)\n", - "pl.ylabel('Feature value b', fontsize=20)\n", - "pl.title('$\\\\nu=\\sum_j \\delta_{y_j,b_j}$', fontsize=25, usetex=True, y=1)\n", - "pl.yticks(())\n", - "pl.tight_layout()\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Create structure matrices and across-feature distance matrix\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "C1 = ot.dist(xs)\n", - "C2 = ot.dist(xt)\n", - "M = ot.dist(ys, yt)\n", - "w1 = ot.unif(C1.shape[0])\n", - "w2 = ot.unif(C2.shape[0])\n", - "Got = ot.emd([], [], M)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot matrices\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "cmap = 'Reds'\n", - "pl.close(10)\n", - "pl.figure(10, (5, 5))\n", - "fs = 15\n", - "l_x = [0, 5, 10, 15]\n", - "l_y = [0, 5, 10, 15, 20, 25]\n", - "gs = pl.GridSpec(5, 5)\n", - "\n", - "ax1 = pl.subplot(gs[3:, :2])\n", - "\n", - "pl.imshow(C1, cmap=cmap, interpolation='nearest')\n", - "pl.title(\"$C_1$\", fontsize=fs)\n", - "pl.xlabel(\"$k$\", fontsize=fs)\n", - "pl.ylabel(\"$i$\", fontsize=fs)\n", - "pl.xticks(l_x)\n", - "pl.yticks(l_x)\n", - "\n", - "ax2 = pl.subplot(gs[:3, 2:])\n", - "\n", - "pl.imshow(C2, cmap=cmap, interpolation='nearest')\n", - "pl.title(\"$C_2$\", fontsize=fs)\n", - "pl.ylabel(\"$l$\", fontsize=fs)\n", - "#pl.ylabel(\"$l$\",fontsize=fs)\n", - "pl.xticks(())\n", - "pl.yticks(l_y)\n", - "ax2.set_aspect('auto')\n", - "\n", - "ax3 = pl.subplot(gs[3:, 2:], sharex=ax2, sharey=ax1)\n", - "pl.imshow(M, cmap=cmap, interpolation='nearest')\n", - "pl.yticks(l_x)\n", - "pl.xticks(l_y)\n", - "pl.ylabel(\"$i$\", fontsize=fs)\n", - "pl.title(\"$M_{AB}$\", fontsize=fs)\n", - "pl.xlabel(\"$j$\", fontsize=fs)\n", - "pl.tight_layout()\n", - "ax3.set_aspect('auto')\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute FGW/GW\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 0|4.734412e+01|0.000000e+00|0.000000e+00\n", - " 1|2.508254e+01|8.875326e-01|2.226158e+01\n", - " 2|2.189327e+01|1.456740e-01|3.189279e+00\n", - " 3|2.189327e+01|0.000000e+00|0.000000e+00\n", - "Elapsed time : 0.0014753341674804688 s\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 0|4.683978e+04|0.000000e+00|0.000000e+00\n", - " 1|3.860061e+04|2.134468e-01|8.239175e+03\n", - " 2|2.182948e+04|7.682787e-01|1.677113e+04\n", - " 3|2.182948e+04|0.000000e+00|0.000000e+00\n" - ] - } - ], - "source": [ - "alpha = 1e-3\n", - "\n", - "ot.tic()\n", - "Gwg, logw = fused_gromov_wasserstein(M, C1, C2, p, q, loss_fun='square_loss', alpha=alpha, verbose=True, log=True)\n", - "ot.toc()\n", - "\n", - "#%reload_ext WGW\n", - "Gg, log = gromov_wasserstein(C1, C2, p, q, loss_fun='square_loss', verbose=True, log=True)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Visualize transport matrices\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "cmap = 'Blues'\n", - "fs = 15\n", - "pl.figure(2, (13, 5))\n", - "pl.clf()\n", - "pl.subplot(1, 3, 1)\n", - "pl.imshow(Got, cmap=cmap, interpolation='nearest')\n", - "#pl.xlabel(\"$y$\",fontsize=fs)\n", - "pl.ylabel(\"$i$\", fontsize=fs)\n", - "pl.xticks(())\n", - "\n", - "pl.title('Wasserstein ($M$ only)')\n", - "\n", - "pl.subplot(1, 3, 2)\n", - "pl.imshow(Gg, cmap=cmap, interpolation='nearest')\n", - "pl.title('Gromov ($C_1,C_2$ only)')\n", - "pl.xticks(())\n", - "pl.subplot(1, 3, 3)\n", - "pl.imshow(Gwg, cmap=cmap, interpolation='nearest')\n", - "pl.title('FGW ($M+C_1,C_2$)')\n", - "\n", - "pl.xlabel(\"$j$\", fontsize=fs)\n", - "pl.ylabel(\"$i$\", fontsize=fs)\n", - "\n", - "pl.tight_layout()\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_free_support_barycenter.ipynb b/notebooks/plot_free_support_barycenter.ipynb deleted file mode 100644 index 018353c..0000000 --- a/notebooks/plot_free_support_barycenter.ipynb +++ /dev/null @@ -1,171 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# 2D free support Wasserstein barycenters of distributions\n", - "\n", - "\n", - "Illustration of 2D Wasserstein barycenters if discributions that are weighted\n", - "sum of diracs.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Vivien Seguy \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - " -------------\n", - "%% parameters and data generation\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "N = 3\n", - "d = 2\n", - "measures_locations = []\n", - "measures_weights = []\n", - "\n", - "for i in range(N):\n", - "\n", - " n_i = np.random.randint(low=1, high=20) # nb samples\n", - "\n", - " mu_i = np.random.normal(0., 4., (d,)) # Gaussian mean\n", - "\n", - " A_i = np.random.rand(d, d)\n", - " cov_i = np.dot(A_i, A_i.transpose()) # Gaussian covariance matrix\n", - "\n", - " x_i = ot.datasets.make_2D_samples_gauss(n_i, mu_i, cov_i) # Dirac locations\n", - " b_i = np.random.uniform(0., 1., (n_i,))\n", - " b_i = b_i / np.sum(b_i) # Dirac weights\n", - "\n", - " measures_locations.append(x_i)\n", - " measures_weights.append(b_i)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute free support barycenter\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "k = 10 # number of Diracs of the barycenter\n", - "X_init = np.random.normal(0., 1., (k, d)) # initial Dirac locations\n", - "b = np.ones((k,)) / k # weights of the barycenter (it will not be optimized, only the locations are optimized)\n", - "\n", - "X = ot.lp.free_support_barycenter(measures_locations, measures_weights, X_init, b)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1)\n", - "for (x_i, b_i) in zip(measures_locations, measures_weights):\n", - " color = np.random.randint(low=1, high=10 * N)\n", - " pl.scatter(x_i[:, 0], x_i[:, 1], s=b_i * 1000, label='input measure')\n", - "pl.scatter(X[:, 0], X[:, 1], s=b * 1000, c='black', marker='^', label='2-Wasserstein barycenter')\n", - "pl.title('Data measures and their barycenter')\n", - "pl.legend(loc=0)\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_gromov.ipynb b/notebooks/plot_gromov.ipynb deleted file mode 100644 index 11cfeec..0000000 --- a/notebooks/plot_gromov.ipynb +++ /dev/null @@ -1,263 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# Gromov-Wasserstein example\n", - "\n", - "\n", - "This example is designed to show how to use the Gromov-Wassertsein distance\n", - "computation in POT.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Erwan Vautier \n", - "# Nicolas Courty \n", - "#\n", - "# License: MIT License\n", - "\n", - "import scipy as sp\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "from mpl_toolkits.mplot3d import Axes3D # noqa\n", - "import ot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Sample two Gaussian distributions (2D and 3D)\n", - "---------------------------------------------\n", - "\n", - "The Gromov-Wasserstein distance allows to compute distances with samples that\n", - "do not belong to the same metric space. For demonstration purpose, we sample\n", - "two Gaussian distributions in 2- and 3-dimensional spaces.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n_samples = 30 # nb samples\n", - "\n", - "mu_s = np.array([0, 0])\n", - "cov_s = np.array([[1, 0], [0, 1]])\n", - "\n", - "mu_t = np.array([4, 4, 4])\n", - "cov_t = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]])\n", - "\n", - "\n", - "xs = ot.datasets.make_2D_samples_gauss(n_samples, mu_s, cov_s)\n", - "P = sp.linalg.sqrtm(cov_t)\n", - "xt = np.random.randn(n_samples, 3).dot(P) + mu_t" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plotting the distributions\n", - "--------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig = pl.figure()\n", - "ax1 = fig.add_subplot(121)\n", - "ax1.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "ax2 = fig.add_subplot(122, projection='3d')\n", - "ax2.scatter(xt[:, 0], xt[:, 1], xt[:, 2], color='r')\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute distance kernels, normalize them and then display\n", - "---------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "C1 = sp.spatial.distance.cdist(xs, xs)\n", - "C2 = sp.spatial.distance.cdist(xt, xt)\n", - "\n", - "C1 /= C1.max()\n", - "C2 /= C2.max()\n", - "\n", - "pl.figure()\n", - "pl.subplot(121)\n", - "pl.imshow(C1)\n", - "pl.subplot(122)\n", - "pl.imshow(C2)\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute Gromov-Wasserstein plans and distance\n", - "---------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 0|7.602249e-02|0.000000e+00|0.000000e+00\n", - " 1|4.138485e-02|8.369641e-01|3.463764e-02\n", - " 2|2.382207e-02|7.372484e-01|1.756278e-02\n", - " 3|2.149536e-02|1.082425e-01|2.326712e-03\n", - " 4|2.149536e-02|0.000000e+00|0.000000e+00\n", - "It. |Err \n", - "-------------------\n", - " 0|8.206392e-02|\n", - " 10|2.775943e-07|\n", - " 20|5.372013e-14|\n", - "Gromov-Wasserstein distances: 0.02149535867154042\n", - "Entropic Gromov-Wasserstein distances: 0.019910889144636214\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "p = ot.unif(n_samples)\n", - "q = ot.unif(n_samples)\n", - "\n", - "gw0, log0 = ot.gromov.gromov_wasserstein(\n", - " C1, C2, p, q, 'square_loss', verbose=True, log=True)\n", - "\n", - "gw, log = ot.gromov.entropic_gromov_wasserstein(\n", - " C1, C2, p, q, 'square_loss', epsilon=5e-4, log=True, verbose=True)\n", - "\n", - "\n", - "print('Gromov-Wasserstein distances: ' + str(log0['gw_dist']))\n", - "print('Entropic Gromov-Wasserstein distances: ' + str(log['gw_dist']))\n", - "\n", - "\n", - "pl.figure(1, (10, 5))\n", - "\n", - "pl.subplot(1, 2, 1)\n", - "pl.imshow(gw0, cmap='jet')\n", - "pl.title('Gromov Wasserstein')\n", - "\n", - "pl.subplot(1, 2, 2)\n", - "pl.imshow(gw, cmap='jet')\n", - "pl.title('Entropic Gromov Wasserstein')\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_gromov_barycenter.ipynb b/notebooks/plot_gromov_barycenter.ipynb deleted file mode 100644 index eb51305..0000000 --- a/notebooks/plot_gromov_barycenter.ipynb +++ /dev/null @@ -1,369 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# Gromov-Wasserstein Barycenter example\n", - "\n", - "\n", - "This example is designed to show how to use the Gromov-Wasserstein distance\n", - "computation in POT.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Erwan Vautier \n", - "# Nicolas Courty \n", - "#\n", - "# License: MIT License\n", - "\n", - "\n", - "import numpy as np\n", - "import scipy as sp\n", - "\n", - "import matplotlib.pylab as pl\n", - "from sklearn import manifold\n", - "from sklearn.decomposition import PCA\n", - "\n", - "import ot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Smacof MDS\n", - "----------\n", - "\n", - "This function allows to find an embedding of points given a dissimilarity matrix\n", - "that will be given by the output of the algorithm\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def smacof_mds(C, dim, max_iter=3000, eps=1e-9):\n", - " \"\"\"\n", - " Returns an interpolated point cloud following the dissimilarity matrix C\n", - " using SMACOF multidimensional scaling (MDS) in specific dimensionned\n", - " target space\n", - "\n", - " Parameters\n", - " ----------\n", - " C : ndarray, shape (ns, ns)\n", - " dissimilarity matrix\n", - " dim : int\n", - " dimension of the targeted space\n", - " max_iter : int\n", - " Maximum number of iterations of the SMACOF algorithm for a single run\n", - " eps : float\n", - " relative tolerance w.r.t stress to declare converge\n", - "\n", - " Returns\n", - " -------\n", - " npos : ndarray, shape (R, dim)\n", - " Embedded coordinates of the interpolated point cloud (defined with\n", - " one isometry)\n", - " \"\"\"\n", - "\n", - " rng = np.random.RandomState(seed=3)\n", - "\n", - " mds = manifold.MDS(\n", - " dim,\n", - " max_iter=max_iter,\n", - " eps=1e-9,\n", - " dissimilarity='precomputed',\n", - " n_init=1)\n", - " pos = mds.fit(C).embedding_\n", - "\n", - " nmds = manifold.MDS(\n", - " 2,\n", - " max_iter=max_iter,\n", - " eps=1e-9,\n", - " dissimilarity=\"precomputed\",\n", - " random_state=rng,\n", - " n_init=1)\n", - " npos = nmds.fit_transform(C, init=pos)\n", - "\n", - " return npos" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Data preparation\n", - "----------------\n", - "\n", - "The four distributions are constructed from 4 simple images\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def im2mat(I):\n", - " \"\"\"Converts and image to matrix (one pixel per line)\"\"\"\n", - " return I.reshape((I.shape[0] * I.shape[1], I.shape[2]))\n", - "\n", - "\n", - "square = pl.imread('../data/square.png').astype(np.float64)[:, :, 2] / 256\n", - "cross = pl.imread('../data/cross.png').astype(np.float64)[:, :, 2] / 256\n", - "triangle = pl.imread('../data/triangle.png').astype(np.float64)[:, :, 2] / 256\n", - "star = pl.imread('../data/star.png').astype(np.float64)[:, :, 2] / 256\n", - "\n", - "shapes = [square, cross, triangle, star]\n", - "\n", - "S = 4\n", - "xs = [[] for i in range(S)]\n", - "\n", - "\n", - "for nb in range(4):\n", - " for i in range(8):\n", - " for j in range(8):\n", - " if shapes[nb][i, j] < 0.95:\n", - " xs[nb].append([j, 8 - i])\n", - "\n", - "xs = np.array([np.array(xs[0]), np.array(xs[1]),\n", - " np.array(xs[2]), np.array(xs[3])])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Barycenter computation\n", - "----------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "ns = [len(xs[s]) for s in range(S)]\n", - "n_samples = 30\n", - "\n", - "\"\"\"Compute all distances matrices for the four shapes\"\"\"\n", - "Cs = [sp.spatial.distance.cdist(xs[s], xs[s]) for s in range(S)]\n", - "Cs = [cs / cs.max() for cs in Cs]\n", - "\n", - "ps = [ot.unif(ns[s]) for s in range(S)]\n", - "p = ot.unif(n_samples)\n", - "\n", - "\n", - "lambdast = [[float(i) / 3, float(3 - i) / 3] for i in [1, 2]]\n", - "\n", - "Ct01 = [0 for i in range(2)]\n", - "for i in range(2):\n", - " Ct01[i] = ot.gromov.gromov_barycenters(n_samples, [Cs[0], Cs[1]],\n", - " [ps[0], ps[1]\n", - " ], p, lambdast[i], 'square_loss', # 5e-4,\n", - " max_iter=100, tol=1e-3)\n", - "\n", - "Ct02 = [0 for i in range(2)]\n", - "for i in range(2):\n", - " Ct02[i] = ot.gromov.gromov_barycenters(n_samples, [Cs[0], Cs[2]],\n", - " [ps[0], ps[2]\n", - " ], p, lambdast[i], 'square_loss', # 5e-4,\n", - " max_iter=100, tol=1e-3)\n", - "\n", - "Ct13 = [0 for i in range(2)]\n", - "for i in range(2):\n", - " Ct13[i] = ot.gromov.gromov_barycenters(n_samples, [Cs[1], Cs[3]],\n", - " [ps[1], ps[3]\n", - " ], p, lambdast[i], 'square_loss', # 5e-4,\n", - " max_iter=100, tol=1e-3)\n", - "\n", - "Ct23 = [0 for i in range(2)]\n", - "for i in range(2):\n", - " Ct23[i] = ot.gromov.gromov_barycenters(n_samples, [Cs[2], Cs[3]],\n", - " [ps[2], ps[3]\n", - " ], p, lambdast[i], 'square_loss', # 5e-4,\n", - " max_iter=100, tol=1e-3)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Visualization\n", - "-------------\n", - "\n", - "The PCA helps in getting consistency between the rotations\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "clf = PCA(n_components=2)\n", - "npos = [0, 0, 0, 0]\n", - "npos = [smacof_mds(Cs[s], 2) for s in range(S)]\n", - "\n", - "npost01 = [0, 0]\n", - "npost01 = [smacof_mds(Ct01[s], 2) for s in range(2)]\n", - "npost01 = [clf.fit_transform(npost01[s]) for s in range(2)]\n", - "\n", - "npost02 = [0, 0]\n", - "npost02 = [smacof_mds(Ct02[s], 2) for s in range(2)]\n", - "npost02 = [clf.fit_transform(npost02[s]) for s in range(2)]\n", - "\n", - "npost13 = [0, 0]\n", - "npost13 = [smacof_mds(Ct13[s], 2) for s in range(2)]\n", - "npost13 = [clf.fit_transform(npost13[s]) for s in range(2)]\n", - "\n", - "npost23 = [0, 0]\n", - "npost23 = [smacof_mds(Ct23[s], 2) for s in range(2)]\n", - "npost23 = [clf.fit_transform(npost23[s]) for s in range(2)]\n", - "\n", - "\n", - "fig = pl.figure(figsize=(10, 10))\n", - "\n", - "ax1 = pl.subplot2grid((4, 4), (0, 0))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax1.scatter(npos[0][:, 0], npos[0][:, 1], color='r')\n", - "\n", - "ax2 = pl.subplot2grid((4, 4), (0, 1))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax2.scatter(npost01[1][:, 0], npost01[1][:, 1], color='b')\n", - "\n", - "ax3 = pl.subplot2grid((4, 4), (0, 2))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax3.scatter(npost01[0][:, 0], npost01[0][:, 1], color='b')\n", - "\n", - "ax4 = pl.subplot2grid((4, 4), (0, 3))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax4.scatter(npos[1][:, 0], npos[1][:, 1], color='r')\n", - "\n", - "ax5 = pl.subplot2grid((4, 4), (1, 0))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax5.scatter(npost02[1][:, 0], npost02[1][:, 1], color='b')\n", - "\n", - "ax6 = pl.subplot2grid((4, 4), (1, 3))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax6.scatter(npost13[1][:, 0], npost13[1][:, 1], color='b')\n", - "\n", - "ax7 = pl.subplot2grid((4, 4), (2, 0))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax7.scatter(npost02[0][:, 0], npost02[0][:, 1], color='b')\n", - "\n", - "ax8 = pl.subplot2grid((4, 4), (2, 3))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax8.scatter(npost13[0][:, 0], npost13[0][:, 1], color='b')\n", - "\n", - "ax9 = pl.subplot2grid((4, 4), (3, 0))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax9.scatter(npos[2][:, 0], npos[2][:, 1], color='r')\n", - "\n", - "ax10 = pl.subplot2grid((4, 4), (3, 1))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax10.scatter(npost23[1][:, 0], npost23[1][:, 1], color='b')\n", - "\n", - "ax11 = pl.subplot2grid((4, 4), (3, 2))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax11.scatter(npost23[0][:, 0], npost23[0][:, 1], color='b')\n", - "\n", - "ax12 = pl.subplot2grid((4, 4), (3, 3))\n", - "pl.xlim((-1, 1))\n", - "pl.ylim((-1, 1))\n", - "ax12.scatter(npos[3][:, 0], npos[3][:, 1], color='r')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_optim_OTreg.ipynb b/notebooks/plot_optim_OTreg.ipynb deleted file mode 100644 index 34f42af..0000000 --- a/notebooks/plot_optim_OTreg.ipynb +++ /dev/null @@ -1,643 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# Regularized OT with generic solver\n", - "\n", - "\n", - "Illustrates the use of the generic solver for regularized OT with\n", - "user-designed regularization term. It uses Conditional gradient as in [6] and\n", - "generalized Conditional Gradient as proposed in [5][7].\n", - "\n", - "\n", - "[5] N. Courty; R. Flamary; D. Tuia; A. Rakotomamonjy, Optimal Transport for\n", - "Domain Adaptation, in IEEE Transactions on Pattern Analysis and Machine\n", - "Intelligence , vol.PP, no.99, pp.1-1.\n", - "\n", - "[6] Ferradans, S., Papadakis, N., Peyré, G., & Aujol, J. F. (2014).\n", - "Regularized discrete optimal transport. SIAM Journal on Imaging Sciences,\n", - "7(3), 1853-1882.\n", - "\n", - "[7] Rakotomamonjy, A., Flamary, R., & Courty, N. (2015). Generalized\n", - "conditional gradient: analysis of convergence and applications.\n", - "arXiv preprint arXiv:1510.06567.\n", - "\n", - "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "import ot.plot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 100 # nb bins\n", - "\n", - "# bin positions\n", - "x = np.arange(n, dtype=np.float64)\n", - "\n", - "# Gaussian distributions\n", - "a = ot.datasets.make_1D_gauss(n, m=20, s=5) # m= mean, s= std\n", - "b = ot.datasets.make_1D_gauss(n, m=60, s=10)\n", - "\n", - "# loss matrix\n", - "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)))\n", - "M /= M.max()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Solve EMD\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "G0 = ot.emd(a, b, M)\n", - "\n", - "pl.figure(3, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, G0, 'OT matrix G0')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Solve EMD with Frobenius norm regularization\n", - "--------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 0|1.760578e-01|0.000000e+00|0.000000e+00\n", - " 1|1.669467e-01|5.457501e-02|9.111116e-03\n", - " 2|1.665639e-01|2.298130e-03|3.827855e-04\n", - " 3|1.664378e-01|7.572776e-04|1.260396e-04\n", - " 4|1.664077e-01|1.811855e-04|3.015066e-05\n", - " 5|1.663912e-01|9.936787e-05|1.653393e-05\n", - " 6|1.663852e-01|3.555826e-05|5.916369e-06\n", - " 7|1.663814e-01|2.305693e-05|3.836245e-06\n", - " 8|1.663785e-01|1.760450e-05|2.929009e-06\n", - " 9|1.663767e-01|1.078011e-05|1.793559e-06\n", - " 10|1.663751e-01|9.525192e-06|1.584755e-06\n", - " 11|1.663737e-01|8.396466e-06|1.396951e-06\n", - " 12|1.663727e-01|6.086938e-06|1.012700e-06\n", - " 13|1.663720e-01|4.042609e-06|6.725769e-07\n", - " 14|1.663713e-01|4.160914e-06|6.922568e-07\n", - " 15|1.663707e-01|3.823502e-06|6.361187e-07\n", - " 16|1.663702e-01|3.022440e-06|5.028438e-07\n", - " 17|1.663697e-01|3.181249e-06|5.292634e-07\n", - " 18|1.663692e-01|2.698532e-06|4.489527e-07\n", - " 19|1.663687e-01|3.258253e-06|5.420712e-07\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 20|1.663682e-01|2.741118e-06|4.560349e-07\n", - " 21|1.663678e-01|2.624135e-06|4.365715e-07\n", - " 22|1.663673e-01|2.645179e-06|4.400714e-07\n", - " 23|1.663670e-01|1.957237e-06|3.256196e-07\n", - " 24|1.663666e-01|2.261541e-06|3.762450e-07\n", - " 25|1.663663e-01|1.851305e-06|3.079948e-07\n", - " 26|1.663660e-01|1.942296e-06|3.231320e-07\n", - " 27|1.663657e-01|2.092896e-06|3.481860e-07\n", - " 28|1.663653e-01|1.924361e-06|3.201470e-07\n", - " 29|1.663651e-01|1.625455e-06|2.704189e-07\n", - " 30|1.663648e-01|1.641123e-06|2.730250e-07\n", - " 31|1.663645e-01|1.566666e-06|2.606377e-07\n", - " 32|1.663643e-01|1.338514e-06|2.226810e-07\n", - " 33|1.663641e-01|1.222711e-06|2.034152e-07\n", - " 34|1.663639e-01|1.221805e-06|2.032642e-07\n", - " 35|1.663637e-01|1.440781e-06|2.396935e-07\n", - " 36|1.663634e-01|1.520091e-06|2.528875e-07\n", - " 37|1.663632e-01|1.288193e-06|2.143080e-07\n", - " 38|1.663630e-01|1.123055e-06|1.868347e-07\n", - " 39|1.663628e-01|1.024487e-06|1.704365e-07\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 40|1.663627e-01|1.079606e-06|1.796061e-07\n", - " 41|1.663625e-01|1.172093e-06|1.949922e-07\n", - " 42|1.663623e-01|1.047880e-06|1.743277e-07\n", - " 43|1.663621e-01|1.010577e-06|1.681217e-07\n", - " 44|1.663619e-01|1.064438e-06|1.770820e-07\n", - " 45|1.663618e-01|9.882375e-07|1.644049e-07\n", - " 46|1.663616e-01|8.532647e-07|1.419505e-07\n", - " 47|1.663615e-01|9.930189e-07|1.652001e-07\n", - " 48|1.663613e-01|8.728955e-07|1.452161e-07\n", - " 49|1.663612e-01|9.524214e-07|1.584459e-07\n", - " 50|1.663610e-01|9.088418e-07|1.511958e-07\n", - " 51|1.663609e-01|7.639430e-07|1.270902e-07\n", - " 52|1.663608e-01|6.662611e-07|1.108397e-07\n", - " 53|1.663607e-01|7.133700e-07|1.186767e-07\n", - " 54|1.663605e-01|7.648141e-07|1.272349e-07\n", - " 55|1.663604e-01|6.557516e-07|1.090911e-07\n", - " 56|1.663603e-01|7.304213e-07|1.215131e-07\n", - " 57|1.663602e-01|6.353809e-07|1.057021e-07\n", - " 58|1.663601e-01|7.968279e-07|1.325603e-07\n", - " 59|1.663600e-01|6.367159e-07|1.059240e-07\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 60|1.663599e-01|5.610790e-07|9.334102e-08\n", - " 61|1.663598e-01|5.787466e-07|9.628015e-08\n", - " 62|1.663596e-01|6.937777e-07|1.154166e-07\n", - " 63|1.663596e-01|5.599432e-07|9.315190e-08\n", - " 64|1.663595e-01|5.813048e-07|9.670555e-08\n", - " 65|1.663594e-01|5.724600e-07|9.523409e-08\n", - " 66|1.663593e-01|6.081892e-07|1.011779e-07\n", - " 67|1.663592e-01|5.948732e-07|9.896260e-08\n", - " 68|1.663591e-01|4.941833e-07|8.221188e-08\n", - " 69|1.663590e-01|5.213739e-07|8.673523e-08\n", - " 70|1.663589e-01|5.127355e-07|8.529811e-08\n", - " 71|1.663588e-01|4.349251e-07|7.235363e-08\n", - " 72|1.663588e-01|5.007084e-07|8.329722e-08\n", - " 73|1.663587e-01|4.880265e-07|8.118744e-08\n", - " 74|1.663586e-01|4.931950e-07|8.204723e-08\n", - " 75|1.663585e-01|4.981309e-07|8.286832e-08\n", - " 76|1.663584e-01|3.952959e-07|6.576082e-08\n", - " 77|1.663584e-01|4.544857e-07|7.560750e-08\n", - " 78|1.663583e-01|4.237579e-07|7.049564e-08\n", - " 79|1.663582e-01|4.382386e-07|7.290460e-08\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 80|1.663582e-01|3.646051e-07|6.065503e-08\n", - " 81|1.663581e-01|4.197994e-07|6.983702e-08\n", - " 82|1.663580e-01|4.072764e-07|6.775370e-08\n", - " 83|1.663580e-01|3.994645e-07|6.645410e-08\n", - " 84|1.663579e-01|4.842721e-07|8.056248e-08\n", - " 85|1.663578e-01|3.276486e-07|5.450691e-08\n", - " 86|1.663578e-01|3.737346e-07|6.217366e-08\n", - " 87|1.663577e-01|4.282043e-07|7.123508e-08\n", - " 88|1.663576e-01|4.020937e-07|6.689135e-08\n", - " 89|1.663576e-01|3.431951e-07|5.709310e-08\n", - " 90|1.663575e-01|3.052335e-07|5.077789e-08\n", - " 91|1.663575e-01|3.500538e-07|5.823407e-08\n", - " 92|1.663574e-01|3.063176e-07|5.095821e-08\n", - " 93|1.663573e-01|3.576367e-07|5.949549e-08\n", - " 94|1.663573e-01|3.224681e-07|5.364492e-08\n", - " 95|1.663572e-01|3.673221e-07|6.110670e-08\n", - " 96|1.663572e-01|3.635561e-07|6.048017e-08\n", - " 97|1.663571e-01|3.527236e-07|5.867807e-08\n", - " 98|1.663571e-01|2.788548e-07|4.638946e-08\n", - " 99|1.663570e-01|2.727141e-07|4.536791e-08\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 100|1.663570e-01|3.127278e-07|5.202445e-08\n", - " 101|1.663569e-01|2.637504e-07|4.387670e-08\n", - " 102|1.663569e-01|2.922750e-07|4.862195e-08\n", - " 103|1.663568e-01|3.076454e-07|5.117891e-08\n", - " 104|1.663568e-01|2.911509e-07|4.843492e-08\n", - " 105|1.663567e-01|2.403398e-07|3.998215e-08\n", - " 106|1.663567e-01|2.439790e-07|4.058755e-08\n", - " 107|1.663567e-01|2.634542e-07|4.382735e-08\n", - " 108|1.663566e-01|2.452203e-07|4.079401e-08\n", - " 109|1.663566e-01|2.852991e-07|4.746137e-08\n", - " 110|1.663565e-01|2.165490e-07|3.602434e-08\n", - " 111|1.663565e-01|2.450250e-07|4.076149e-08\n", - " 112|1.663564e-01|2.685294e-07|4.467159e-08\n", - " 113|1.663564e-01|2.821800e-07|4.694245e-08\n", - " 114|1.663564e-01|2.237390e-07|3.722040e-08\n", - " 115|1.663563e-01|1.992842e-07|3.315219e-08\n", - " 116|1.663563e-01|2.166739e-07|3.604506e-08\n", - " 117|1.663563e-01|2.086064e-07|3.470297e-08\n", - " 118|1.663562e-01|2.435945e-07|4.052346e-08\n", - " 119|1.663562e-01|2.292497e-07|3.813711e-08\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 120|1.663561e-01|2.366209e-07|3.936334e-08\n", - " 121|1.663561e-01|2.138746e-07|3.557935e-08\n", - " 122|1.663561e-01|2.009637e-07|3.343153e-08\n", - " 123|1.663560e-01|2.386258e-07|3.969683e-08\n", - " 124|1.663560e-01|1.927442e-07|3.206415e-08\n", - " 125|1.663560e-01|2.081681e-07|3.463000e-08\n", - " 126|1.663559e-01|1.759123e-07|2.926406e-08\n", - " 127|1.663559e-01|1.890771e-07|3.145409e-08\n", - " 128|1.663559e-01|1.971315e-07|3.279398e-08\n", - " 129|1.663558e-01|2.101983e-07|3.496771e-08\n", - " 130|1.663558e-01|2.035645e-07|3.386414e-08\n", - " 131|1.663558e-01|1.984492e-07|3.301317e-08\n", - " 132|1.663557e-01|1.849064e-07|3.076024e-08\n", - " 133|1.663557e-01|1.795703e-07|2.987255e-08\n", - " 134|1.663557e-01|1.624087e-07|2.701762e-08\n", - " 135|1.663557e-01|1.689557e-07|2.810673e-08\n", - " 136|1.663556e-01|1.644308e-07|2.735399e-08\n", - " 137|1.663556e-01|1.618007e-07|2.691644e-08\n", - " 138|1.663556e-01|1.483013e-07|2.467075e-08\n", - " 139|1.663555e-01|1.708771e-07|2.842636e-08\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 140|1.663555e-01|2.013847e-07|3.350146e-08\n", - " 141|1.663555e-01|1.721217e-07|2.863339e-08\n", - " 142|1.663554e-01|2.027911e-07|3.373540e-08\n", - " 143|1.663554e-01|1.764565e-07|2.935449e-08\n", - " 144|1.663554e-01|1.677151e-07|2.790030e-08\n", - " 145|1.663554e-01|1.351982e-07|2.249094e-08\n", - " 146|1.663553e-01|1.423360e-07|2.367836e-08\n", - " 147|1.663553e-01|1.541112e-07|2.563722e-08\n", - " 148|1.663553e-01|1.491601e-07|2.481358e-08\n", - " 149|1.663553e-01|1.466407e-07|2.439446e-08\n", - " 150|1.663552e-01|1.801524e-07|2.996929e-08\n", - " 151|1.663552e-01|1.714107e-07|2.851507e-08\n", - " 152|1.663552e-01|1.491257e-07|2.480784e-08\n", - " 153|1.663552e-01|1.513799e-07|2.518282e-08\n", - " 154|1.663551e-01|1.354539e-07|2.253345e-08\n", - " 155|1.663551e-01|1.233818e-07|2.052519e-08\n", - " 156|1.663551e-01|1.576219e-07|2.622121e-08\n", - " 157|1.663551e-01|1.452791e-07|2.416792e-08\n", - " 158|1.663550e-01|1.262867e-07|2.100843e-08\n", - " 159|1.663550e-01|1.316379e-07|2.189863e-08\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 160|1.663550e-01|1.295447e-07|2.155041e-08\n", - " 161|1.663550e-01|1.283286e-07|2.134810e-08\n", - " 162|1.663550e-01|1.569222e-07|2.610479e-08\n", - " 163|1.663549e-01|1.172942e-07|1.951247e-08\n", - " 164|1.663549e-01|1.399809e-07|2.328651e-08\n", - " 165|1.663549e-01|1.229432e-07|2.045221e-08\n", - " 166|1.663549e-01|1.326191e-07|2.206184e-08\n", - " 167|1.663548e-01|1.209694e-07|2.012384e-08\n", - " 168|1.663548e-01|1.372136e-07|2.282614e-08\n", - " 169|1.663548e-01|1.338395e-07|2.226484e-08\n", - " 170|1.663548e-01|1.416497e-07|2.356410e-08\n", - " 171|1.663548e-01|1.298576e-07|2.160242e-08\n", - " 172|1.663547e-01|1.190590e-07|1.980603e-08\n", - " 173|1.663547e-01|1.167083e-07|1.941497e-08\n", - " 174|1.663547e-01|1.069425e-07|1.779038e-08\n", - " 175|1.663547e-01|1.217780e-07|2.025834e-08\n", - " 176|1.663547e-01|1.140754e-07|1.897697e-08\n", - " 177|1.663546e-01|1.160707e-07|1.930890e-08\n", - " 178|1.663546e-01|1.101798e-07|1.832892e-08\n", - " 179|1.663546e-01|1.114904e-07|1.854694e-08\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 180|1.663546e-01|1.064022e-07|1.770049e-08\n", - " 181|1.663546e-01|9.258231e-08|1.540149e-08\n", - " 182|1.663546e-01|1.213120e-07|2.018080e-08\n", - " 183|1.663545e-01|1.164296e-07|1.936859e-08\n", - " 184|1.663545e-01|1.188762e-07|1.977559e-08\n", - " 185|1.663545e-01|9.394153e-08|1.562760e-08\n", - " 186|1.663545e-01|1.028656e-07|1.711216e-08\n", - " 187|1.663545e-01|1.115348e-07|1.855431e-08\n", - " 188|1.663544e-01|9.768310e-08|1.625002e-08\n", - " 189|1.663544e-01|1.021806e-07|1.699820e-08\n", - " 190|1.663544e-01|1.086303e-07|1.807113e-08\n", - " 191|1.663544e-01|9.879008e-08|1.643416e-08\n", - " 192|1.663544e-01|1.050210e-07|1.747071e-08\n", - " 193|1.663544e-01|1.002463e-07|1.667641e-08\n", - " 194|1.663543e-01|1.062747e-07|1.767925e-08\n", - " 195|1.663543e-01|9.348538e-08|1.555170e-08\n", - " 196|1.663543e-01|7.992512e-08|1.329589e-08\n", - " 197|1.663543e-01|9.558020e-08|1.590018e-08\n", - " 198|1.663543e-01|9.993772e-08|1.662507e-08\n", - " 199|1.663543e-01|8.588499e-08|1.428734e-08\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 200|1.663543e-01|8.737134e-08|1.453459e-08\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "def f(G):\n", - " return 0.5 * np.sum(G**2)\n", - "\n", - "\n", - "def df(G):\n", - " return G\n", - "\n", - "\n", - "reg = 1e-1\n", - "\n", - "Gl2 = ot.optim.cg(a, b, M, reg, f, df, verbose=True)\n", - "\n", - "pl.figure(3)\n", - "ot.plot.plot1D_mat(a, b, Gl2, 'OT matrix Frob. reg')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Solve EMD with entropic regularization\n", - "--------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 0|1.692289e-01|0.000000e+00|0.000000e+00\n", - " 1|1.617643e-01|4.614437e-02|7.464513e-03\n", - " 2|1.612639e-01|3.102965e-03|5.003963e-04\n", - " 3|1.611291e-01|8.371098e-04|1.348827e-04\n", - " 4|1.610468e-01|5.110558e-04|8.230389e-05\n", - " 5|1.610198e-01|1.672927e-04|2.693743e-05\n", - " 6|1.610130e-01|4.232417e-05|6.814742e-06\n", - " 7|1.610090e-01|2.513455e-05|4.046887e-06\n", - " 8|1.610002e-01|5.443507e-05|8.764057e-06\n", - " 9|1.609996e-01|3.657071e-06|5.887869e-07\n", - " 10|1.609948e-01|2.998735e-05|4.827807e-06\n", - " 11|1.609695e-01|1.569217e-04|2.525962e-05\n", - " 12|1.609533e-01|1.010779e-04|1.626881e-05\n", - " 13|1.609520e-01|8.043897e-06|1.294681e-06\n", - " 14|1.609465e-01|3.415246e-05|5.496718e-06\n", - " 15|1.609386e-01|4.898605e-05|7.883745e-06\n", - " 16|1.609324e-01|3.837052e-05|6.175060e-06\n", - " 17|1.609298e-01|1.617826e-05|2.603564e-06\n", - " 18|1.609184e-01|7.080015e-05|1.139305e-05\n", - " 19|1.609083e-01|6.273206e-05|1.009411e-05\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 20|1.608988e-01|5.940805e-05|9.558681e-06\n", - " 21|1.608853e-01|8.380030e-05|1.348223e-05\n", - " 22|1.608844e-01|5.185045e-06|8.341930e-07\n", - " 23|1.608824e-01|1.279113e-05|2.057868e-06\n", - " 24|1.608819e-01|3.156821e-06|5.078753e-07\n", - " 25|1.608783e-01|2.205746e-05|3.548567e-06\n", - " 26|1.608764e-01|1.189894e-05|1.914259e-06\n", - " 27|1.608755e-01|5.474607e-06|8.807303e-07\n", - " 28|1.608737e-01|1.144227e-05|1.840760e-06\n", - " 29|1.608676e-01|3.775335e-05|6.073291e-06\n", - " 30|1.608638e-01|2.348020e-05|3.777116e-06\n", - " 31|1.608627e-01|6.863136e-06|1.104023e-06\n", - " 32|1.608529e-01|6.110230e-05|9.828482e-06\n", - " 33|1.608487e-01|2.641106e-05|4.248184e-06\n", - " 34|1.608409e-01|4.823638e-05|7.758383e-06\n", - " 35|1.608373e-01|2.256641e-05|3.629519e-06\n", - " 36|1.608338e-01|2.132444e-05|3.429691e-06\n", - " 37|1.608310e-01|1.786649e-05|2.873484e-06\n", - " 38|1.608260e-01|3.103848e-05|4.991794e-06\n", - " 39|1.608206e-01|3.321265e-05|5.341279e-06\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 40|1.608201e-01|3.054747e-06|4.912648e-07\n", - " 41|1.608195e-01|4.198335e-06|6.751739e-07\n", - " 42|1.608193e-01|8.458736e-07|1.360328e-07\n", - " 43|1.608159e-01|2.153759e-05|3.463587e-06\n", - " 44|1.608115e-01|2.738314e-05|4.403523e-06\n", - " 45|1.608108e-01|3.960032e-06|6.368161e-07\n", - " 46|1.608081e-01|1.675447e-05|2.694254e-06\n", - " 47|1.608072e-01|5.976340e-06|9.610383e-07\n", - " 48|1.608046e-01|1.604130e-05|2.579515e-06\n", - " 49|1.608020e-01|1.617036e-05|2.600226e-06\n", - " 50|1.608014e-01|3.957795e-06|6.364188e-07\n", - " 51|1.608011e-01|1.292411e-06|2.078211e-07\n", - " 52|1.607998e-01|8.431795e-06|1.355831e-06\n", - " 53|1.607964e-01|2.127054e-05|3.420225e-06\n", - " 54|1.607947e-01|1.021878e-05|1.643126e-06\n", - " 55|1.607947e-01|3.560621e-07|5.725288e-08\n", - " 56|1.607900e-01|2.929781e-05|4.710793e-06\n", - " 57|1.607890e-01|5.740229e-06|9.229659e-07\n", - " 58|1.607858e-01|2.039550e-05|3.279306e-06\n", - " 59|1.607836e-01|1.319545e-05|2.121612e-06\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 60|1.607826e-01|6.378947e-06|1.025624e-06\n", - " 61|1.607808e-01|1.145102e-05|1.841105e-06\n", - " 62|1.607776e-01|1.941743e-05|3.121889e-06\n", - " 63|1.607743e-01|2.087422e-05|3.356037e-06\n", - " 64|1.607741e-01|1.310249e-06|2.106541e-07\n", - " 65|1.607738e-01|1.682752e-06|2.705425e-07\n", - " 66|1.607691e-01|2.913936e-05|4.684709e-06\n", - " 67|1.607671e-01|1.288855e-05|2.072055e-06\n", - " 68|1.607654e-01|1.002448e-05|1.611590e-06\n", - " 69|1.607641e-01|8.209492e-06|1.319792e-06\n", - " 70|1.607632e-01|5.588467e-06|8.984199e-07\n", - " 71|1.607619e-01|8.050388e-06|1.294196e-06\n", - " 72|1.607618e-01|9.417493e-07|1.513973e-07\n", - " 73|1.607598e-01|1.210509e-05|1.946012e-06\n", - " 74|1.607591e-01|4.392914e-06|7.062009e-07\n", - " 75|1.607579e-01|7.759587e-06|1.247415e-06\n", - " 76|1.607574e-01|2.760280e-06|4.437356e-07\n", - " 77|1.607556e-01|1.146469e-05|1.843012e-06\n", - " 78|1.607550e-01|3.689456e-06|5.930984e-07\n", - " 79|1.607550e-01|4.065631e-08|6.535705e-09\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 80|1.607539e-01|6.555681e-06|1.053852e-06\n", - " 81|1.607528e-01|7.177470e-06|1.153798e-06\n", - " 82|1.607527e-01|5.306068e-07|8.529648e-08\n", - " 83|1.607514e-01|7.816045e-06|1.256440e-06\n", - " 84|1.607511e-01|2.301970e-06|3.700442e-07\n", - " 85|1.607504e-01|4.281072e-06|6.881840e-07\n", - " 86|1.607503e-01|7.821886e-07|1.257370e-07\n", - " 87|1.607480e-01|1.403013e-05|2.255315e-06\n", - " 88|1.607480e-01|1.169298e-08|1.879624e-09\n", - " 89|1.607473e-01|4.235982e-06|6.809227e-07\n", - " 90|1.607470e-01|1.717105e-06|2.760195e-07\n", - " 91|1.607470e-01|6.148402e-09|9.883374e-10\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "def f(G):\n", - " return np.sum(G * np.log(G))\n", - "\n", - "\n", - "def df(G):\n", - " return np.log(G) + 1.\n", - "\n", - "\n", - "reg = 1e-3\n", - "\n", - "Ge = ot.optim.cg(a, b, M, reg, f, df, verbose=True)\n", - "\n", - "pl.figure(4, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, Ge, 'OT matrix Entrop. reg')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Solve EMD with Frobenius norm + entropic regularization\n", - "-------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 0|1.693084e-01|0.000000e+00|0.000000e+00\n", - " 1|1.610202e-01|5.147342e-02|8.288260e-03\n", - " 2|1.609508e-01|4.309685e-04|6.936474e-05\n", - " 3|1.609484e-01|1.524885e-05|2.454278e-06\n", - " 4|1.609477e-01|3.863641e-06|6.218444e-07\n", - " 5|1.609475e-01|1.433633e-06|2.307397e-07\n", - " 6|1.609474e-01|6.332412e-07|1.019185e-07\n", - " 7|1.609474e-01|2.950826e-07|4.749276e-08\n", - " 8|1.609473e-01|1.508393e-07|2.427718e-08\n", - " 9|1.609473e-01|7.859971e-08|1.265041e-08\n", - " 10|1.609473e-01|4.337432e-08|6.980981e-09\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "def f(G):\n", - " return 0.5 * np.sum(G**2)\n", - "\n", - "\n", - "def df(G):\n", - " return G\n", - "\n", - "\n", - "reg1 = 1e-3\n", - "reg2 = 1e-1\n", - "\n", - "Gel2 = ot.optim.gcg(a, b, M, reg1, reg2, f, df, verbose=True)\n", - "\n", - "pl.figure(5, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, Gel2, 'OT entropic + matrix Frob. reg')\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_otda_classes.ipynb b/notebooks/plot_otda_classes.ipynb deleted file mode 100644 index 450365f..0000000 --- a/notebooks/plot_otda_classes.ipynb +++ /dev/null @@ -1,305 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# OT for domain adaptation\n", - "\n", - "\n", - "This example introduces a domain adaptation in a 2D setting and the 4 OTDA\n", - "approaches currently supported in POT.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Authors: Remi Flamary \n", - "# Stanislas Chambon \n", - "#\n", - "# License: MIT License\n", - "\n", - "import matplotlib.pylab as pl\n", - "import ot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n_source_samples = 150\n", - "n_target_samples = 150\n", - "\n", - "Xs, ys = ot.datasets.make_data_classif('3gauss', n_source_samples)\n", - "Xt, yt = ot.datasets.make_data_classif('3gauss2', n_target_samples)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Instantiate the different transport algorithms and fit them\n", - "-----------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 0|1.068487e+01|0.000000e+00|0.000000e+00\n", - " 1|2.265157e+00|3.717055e+00|8.419713e+00\n", - " 2|2.027223e+00|1.173695e-01|2.379341e-01\n", - " 3|1.969810e+00|2.914611e-02|5.741231e-02\n", - " 4|1.946438e+00|1.200787e-02|2.337257e-02\n", - " 5|1.935059e+00|5.880253e-03|1.137864e-02\n", - " 6|1.927743e+00|3.795152e-03|7.316078e-03\n", - " 7|1.923064e+00|2.433205e-03|4.679208e-03\n", - " 8|1.917781e+00|2.754726e-03|5.282962e-03\n", - " 9|1.914769e+00|1.572823e-03|3.011594e-03\n", - " 10|1.913550e+00|6.373943e-04|1.219686e-03\n", - " 11|1.911332e+00|1.160273e-03|2.217668e-03\n", - " 12|1.910399e+00|4.882451e-04|9.327431e-04\n", - " 13|1.908762e+00|8.578270e-04|1.637388e-03\n", - " 14|1.908107e+00|3.430078e-04|6.544958e-04\n", - " 15|1.907106e+00|5.253391e-04|1.001877e-03\n", - " 16|1.906394e+00|3.734588e-04|7.119595e-04\n", - " 17|1.906076e+00|1.664949e-04|3.173520e-04\n", - " 18|1.905829e+00|1.295989e-04|2.469934e-04\n", - " 19|1.905120e+00|3.720389e-04|7.087790e-04\n", - "It. |Loss |Relative loss|Absolute loss\n", - "------------------------------------------------\n", - " 20|1.904801e+00|1.676571e-04|3.193534e-04\n" - ] - } - ], - "source": [ - "# EMD Transport\n", - "ot_emd = ot.da.EMDTransport()\n", - "ot_emd.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# Sinkhorn Transport\n", - "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)\n", - "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# Sinkhorn Transport with Group lasso regularization\n", - "ot_lpl1 = ot.da.SinkhornLpl1Transport(reg_e=1e-1, reg_cl=1e0)\n", - "ot_lpl1.fit(Xs=Xs, ys=ys, Xt=Xt)\n", - "\n", - "# Sinkhorn Transport with Group lasso regularization l1l2\n", - "ot_l1l2 = ot.da.SinkhornL1l2Transport(reg_e=1e-1, reg_cl=2e0, max_iter=20,\n", - " verbose=True)\n", - "ot_l1l2.fit(Xs=Xs, ys=ys, Xt=Xt)\n", - "\n", - "# transport source samples onto target samples\n", - "transp_Xs_emd = ot_emd.transform(Xs=Xs)\n", - "transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=Xs)\n", - "transp_Xs_lpl1 = ot_lpl1.transform(Xs=Xs)\n", - "transp_Xs_l1l2 = ot_l1l2.transform(Xs=Xs)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 1 : plots source and target samples\n", - "---------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(10, 5))\n", - "pl.subplot(1, 2, 1)\n", - "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.legend(loc=0)\n", - "pl.title('Source samples')\n", - "\n", - "pl.subplot(1, 2, 2)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.legend(loc=0)\n", - "pl.title('Target samples')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 2 : plot optimal couplings and transported samples\n", - "------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "param_img = {'interpolation': 'nearest'}\n", - "\n", - "pl.figure(2, figsize=(15, 8))\n", - "pl.subplot(2, 4, 1)\n", - "pl.imshow(ot_emd.coupling_, **param_img)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nEMDTransport')\n", - "\n", - "pl.subplot(2, 4, 2)\n", - "pl.imshow(ot_sinkhorn.coupling_, **param_img)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nSinkhornTransport')\n", - "\n", - "pl.subplot(2, 4, 3)\n", - "pl.imshow(ot_lpl1.coupling_, **param_img)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nSinkhornLpl1Transport')\n", - "\n", - "pl.subplot(2, 4, 4)\n", - "pl.imshow(ot_l1l2.coupling_, **param_img)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nSinkhornL1l2Transport')\n", - "\n", - "pl.subplot(2, 4, 5)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.3)\n", - "pl.scatter(transp_Xs_emd[:, 0], transp_Xs_emd[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Transported samples\\nEmdTransport')\n", - "pl.legend(loc=\"lower left\")\n", - "\n", - "pl.subplot(2, 4, 6)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.3)\n", - "pl.scatter(transp_Xs_sinkhorn[:, 0], transp_Xs_sinkhorn[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Transported samples\\nSinkhornTransport')\n", - "\n", - "pl.subplot(2, 4, 7)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.3)\n", - "pl.scatter(transp_Xs_lpl1[:, 0], transp_Xs_lpl1[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Transported samples\\nSinkhornLpl1Transport')\n", - "\n", - "pl.subplot(2, 4, 8)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.3)\n", - "pl.scatter(transp_Xs_l1l2[:, 0], transp_Xs_l1l2[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Transported samples\\nSinkhornL1l2Transport')\n", - "pl.tight_layout()\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_otda_color_images.ipynb b/notebooks/plot_otda_color_images.ipynb deleted file mode 100644 index cc060ee..0000000 --- a/notebooks/plot_otda_color_images.ipynb +++ /dev/null @@ -1,327 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# OT for image color adaptation\n", - "\n", - "\n", - "This example presents a way of transferring colors between two images\n", - "with Optimal Transport as introduced in [6]\n", - "\n", - "[6] Ferradans, S., Papadakis, N., Peyre, G., & Aujol, J. F. (2014).\n", - "Regularized discrete optimal transport.\n", - "SIAM Journal on Imaging Sciences, 7(3), 1853-1882.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Authors: Remi Flamary \n", - "# Stanislas Chambon \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "\n", - "\n", - "r = np.random.RandomState(42)\n", - "\n", - "\n", - "def im2mat(I):\n", - " \"\"\"Converts an image to matrix (one pixel per line)\"\"\"\n", - " return I.reshape((I.shape[0] * I.shape[1], I.shape[2]))\n", - "\n", - "\n", - "def mat2im(X, shape):\n", - " \"\"\"Converts back a matrix to an image\"\"\"\n", - " return X.reshape(shape)\n", - "\n", - "\n", - "def minmax(I):\n", - " return np.clip(I, 0, 1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Loading images\n", - "I1 = pl.imread('../data/ocean_day.jpg').astype(np.float64) / 256\n", - "I2 = pl.imread('../data/ocean_sunset.jpg').astype(np.float64) / 256\n", - "\n", - "X1 = im2mat(I1)\n", - "X2 = im2mat(I2)\n", - "\n", - "# training samples\n", - "nb = 1000\n", - "idx1 = r.randint(X1.shape[0], size=(nb,))\n", - "idx2 = r.randint(X2.shape[0], size=(nb,))\n", - "\n", - "Xs = X1[idx1, :]\n", - "Xt = X2[idx2, :]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot original image\n", - "-------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Image 2')" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(6.4, 3))\n", - "\n", - "pl.subplot(1, 2, 1)\n", - "pl.imshow(I1)\n", - "pl.axis('off')\n", - "pl.title('Image 1')\n", - "\n", - "pl.subplot(1, 2, 2)\n", - "pl.imshow(I2)\n", - "pl.axis('off')\n", - "pl.title('Image 2')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Scatter plot of colors\n", - "----------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(2, figsize=(6.4, 3))\n", - "\n", - "pl.subplot(1, 2, 1)\n", - "pl.scatter(Xs[:, 0], Xs[:, 2], c=Xs)\n", - "pl.axis([0, 1, 0, 1])\n", - "pl.xlabel('Red')\n", - "pl.ylabel('Blue')\n", - "pl.title('Image 1')\n", - "\n", - "pl.subplot(1, 2, 2)\n", - "pl.scatter(Xt[:, 0], Xt[:, 2], c=Xt)\n", - "pl.axis([0, 1, 0, 1])\n", - "pl.xlabel('Red')\n", - "pl.ylabel('Blue')\n", - "pl.title('Image 2')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Instantiate the different transport algorithms and fit them\n", - "-----------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# EMDTransport\n", - "ot_emd = ot.da.EMDTransport()\n", - "ot_emd.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# SinkhornTransport\n", - "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)\n", - "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# prediction between images (using out of sample prediction as in [6])\n", - "transp_Xs_emd = ot_emd.transform(Xs=X1)\n", - "transp_Xt_emd = ot_emd.inverse_transform(Xt=X2)\n", - "\n", - "transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=X1)\n", - "transp_Xt_sinkhorn = ot_sinkhorn.inverse_transform(Xt=X2)\n", - "\n", - "I1t = minmax(mat2im(transp_Xs_emd, I1.shape))\n", - "I2t = minmax(mat2im(transp_Xt_emd, I2.shape))\n", - "\n", - "I1te = minmax(mat2im(transp_Xs_sinkhorn, I1.shape))\n", - "I2te = minmax(mat2im(transp_Xt_sinkhorn, I2.shape))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot new images\n", - "---------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(3, figsize=(8, 4))\n", - "\n", - "pl.subplot(2, 3, 1)\n", - "pl.imshow(I1)\n", - "pl.axis('off')\n", - "pl.title('Image 1')\n", - "\n", - "pl.subplot(2, 3, 2)\n", - "pl.imshow(I1t)\n", - "pl.axis('off')\n", - "pl.title('Image 1 Adapt')\n", - "\n", - "pl.subplot(2, 3, 3)\n", - "pl.imshow(I1te)\n", - "pl.axis('off')\n", - "pl.title('Image 1 Adapt (reg)')\n", - "\n", - "pl.subplot(2, 3, 4)\n", - "pl.imshow(I2)\n", - "pl.axis('off')\n", - "pl.title('Image 2')\n", - "\n", - "pl.subplot(2, 3, 5)\n", - "pl.imshow(I2t)\n", - "pl.axis('off')\n", - "pl.title('Image 2 Adapt')\n", - "\n", - "pl.subplot(2, 3, 6)\n", - "pl.imshow(I2te)\n", - "pl.axis('off')\n", - "pl.title('Image 2 Adapt (reg)')\n", - "pl.tight_layout()\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_otda_d2.ipynb b/notebooks/plot_otda_d2.ipynb deleted file mode 100644 index c39b7fb..0000000 --- a/notebooks/plot_otda_d2.ipynb +++ /dev/null @@ -1,321 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# OT for domain adaptation on empirical distributions\n", - "\n", - "\n", - "This example introduces a domain adaptation in a 2D setting. It explicits\n", - "the problem of domain adaptation and introduces some optimal transport\n", - "approaches to solve it.\n", - "\n", - "Quantities such as optimal couplings, greater coupling coefficients and\n", - "transported samples are represented in order to give a visual understanding\n", - "of what the transport methods are doing.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Authors: Remi Flamary \n", - "# Stanislas Chambon \n", - "#\n", - "# License: MIT License\n", - "\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "import ot.plot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n_samples_source = 150\n", - "n_samples_target = 150\n", - "\n", - "Xs, ys = ot.datasets.make_data_classif('3gauss', n_samples_source)\n", - "Xt, yt = ot.datasets.make_data_classif('3gauss2', n_samples_target)\n", - "\n", - "# Cost matrix\n", - "M = ot.dist(Xs, Xt, metric='sqeuclidean')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Instantiate the different transport algorithms and fit them\n", - "-----------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# EMD Transport\n", - "ot_emd = ot.da.EMDTransport()\n", - "ot_emd.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# Sinkhorn Transport\n", - "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)\n", - "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# Sinkhorn Transport with Group lasso regularization\n", - "ot_lpl1 = ot.da.SinkhornLpl1Transport(reg_e=1e-1, reg_cl=1e0)\n", - "ot_lpl1.fit(Xs=Xs, ys=ys, Xt=Xt)\n", - "\n", - "# transport source samples onto target samples\n", - "transp_Xs_emd = ot_emd.transform(Xs=Xs)\n", - "transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=Xs)\n", - "transp_Xs_lpl1 = ot_lpl1.transform(Xs=Xs)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 1 : plots source and target samples + matrix of pairwise distance\n", - "---------------------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(10, 10))\n", - "pl.subplot(2, 2, 1)\n", - "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.legend(loc=0)\n", - "pl.title('Source samples')\n", - "\n", - "pl.subplot(2, 2, 2)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.legend(loc=0)\n", - "pl.title('Target samples')\n", - "\n", - "pl.subplot(2, 2, 3)\n", - "pl.imshow(M, interpolation='nearest')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Matrix of pairwise distances')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 2 : plots optimal couplings for the different methods\n", - "---------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(2, figsize=(10, 6))\n", - "\n", - "pl.subplot(2, 3, 1)\n", - "pl.imshow(ot_emd.coupling_, interpolation='nearest')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nEMDTransport')\n", - "\n", - "pl.subplot(2, 3, 2)\n", - "pl.imshow(ot_sinkhorn.coupling_, interpolation='nearest')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nSinkhornTransport')\n", - "\n", - "pl.subplot(2, 3, 3)\n", - "pl.imshow(ot_lpl1.coupling_, interpolation='nearest')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nSinkhornLpl1Transport')\n", - "\n", - "pl.subplot(2, 3, 4)\n", - "ot.plot.plot2D_samples_mat(Xs, Xt, ot_emd.coupling_, c=[.5, .5, 1])\n", - "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Main coupling coefficients\\nEMDTransport')\n", - "\n", - "pl.subplot(2, 3, 5)\n", - "ot.plot.plot2D_samples_mat(Xs, Xt, ot_sinkhorn.coupling_, c=[.5, .5, 1])\n", - "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Main coupling coefficients\\nSinkhornTransport')\n", - "\n", - "pl.subplot(2, 3, 6)\n", - "ot.plot.plot2D_samples_mat(Xs, Xt, ot_lpl1.coupling_, c=[.5, .5, 1])\n", - "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Main coupling coefficients\\nSinkhornLpl1Transport')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 3 : plot transported samples\n", - "--------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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jPdZZd6ScWs8HAYNA/xJEJKbbtcp6O/kr0F3mu4ARwCxTx887uEgvFRle6MVKqfEY3v7LMUaAOumu4z6gjm46bo4OZTDI2nNtIPcDzKGeV4DFZlD9BIx4oq+CB6N37RWRORhDJkeEiNwoIslmr7ER44cfijjlf0XEJSKTTTmXmvuXAPeKSLKIpAD/Czx3iEtVAsndXnAazRFhek9/JiIZ5nYmRhjAmmOpTym1BCNc4D0ROewkWaVUMfA58CsxJqhOAf6DQ//mjzceDB1tNeMGu8cf94qIXB0x2acBQ88jJxX9t4jEi0gW8F901fOfishwU3cfBJaY74ueqAKUiIw84rvS9HsGsP5FmfV1fiI9rveJkcbtLIyY6pd7qkBEHBFOJbtZzxF1XHvAg+EVrheRJIxO8BEhIueJyCTTwG3CCLmI1NObzP9jDMYcppfMzu1LwKViTE6MwjDSm4Hu4ZaRVAIDSse1gXx8eEO65jB99Rjq+DHGsEgFRi/8H19Rph9ivDg6YwRfOoqyC4F8s+xvgWu6DXt9ChRgzFD/lVLqA3P/fcAWDI/WVgxl+lVvF1FGrPVyoNCM3dZZLDRHQzNGTNxaMbK3rMH47f3sWCtUSj2LEabwgYgMP4Ii12HE8ZYBr2LE3p6QlI+98DOMTmozhjd56aFP78JsYL357F4BfmTGh3byBrAZ2IRxb8+Y+58wr/MJxnugGWOiYI+YQ+C/wvg/NcgRZu3Q9HsGqv6txAh/7PwsNvdXAPXmtZ4HfmB6zXtip1k2HXjH/J7dy7mH4xGM+N9ajA7BW0dRNg1Dt5sw5hm9hzHJt5N/YXQoygErcDuAUioX473yKMbI0ALgUjMeuTd+idGBaBCR249Cxn6LdB0J02h6R0RygN1KqWPtCWs0mn6O6THzAyPMiX0azaBGjExNz5mx1gMCMdLwPamUeqavZemvaA+yRqPRaDQajUYTgTaQNRqNRqPRaDSaCHSIhUaj0Wg0Go1GE4H2IGs0Go1Go9FoNBEcaXJ6AJKTk9Xw4cNPkCgajaYnvvzyyxqlVMrhz+yK1leN5uRzrPoKWmc1mr6gN509KgN5+PDhbNiw4fhJpdFoDouIHO2qioDWV42mLzhWfQWtsxpNX9CbzuoQC41Go9FoNBqNJgJtIGs0Go1Go9FoNBFoA1mj0Wg0Go1Go4ngqGKQNf0Tv99PSUkJXq+3r0XRfAWcTicZGRlERUX1tSgajUaj0QxqtIE8ACgpKcHj8TB8+HBE9CrQpyJKKWpraykpKWHEiBF9LY5Go9FoNIMaHWIxAPB6vSQlJWnj+BRGREhKShpUowD+YJD69nb8wWBfi6LRaA6DUoomn5eWjo6+FkWjOSloD/IAQRvHpz6D5X+olOKTokLeLdiLLxDEYbNywchRnJWlR0A0mv5IRUszy/JyKWpsQAHjk1NYNH4icU5nX4um0ZwwtAdZo9GcVNaXlfLajnzcdjtpHg/uKDuv7cjny7LSvhZNo9F0o83v5+9frqeypYVUt4dUt4ddtbU8tWkDwVCor8XTaE4YA8aD3NrRweaKcvY11DMkJoaZaekkuqL7WqxBQW1tLeeffz4AFRUVWK1WUlKMRWnWrVuH3W4/7tfcuHEjVVVVLFiw4LjXfTQEAgGSk5NpaGjoUzlOJd7ft5ckVzQOq/H6cdhsJLmiea+wgJnpGX0snUajiSS/uoqWDh/pnjgABBjmdlPa3MT+xgZGJiT2rYAazQliQBjITT4vf12/lrr2Nj4p2k9IKS4YmcMPZswiMy6ur8Ub8CQlJbF582YAFi9ejNvt5s477zzi8sFgEKvVelTX3LhxI9u3b+9zA1lz9DR4vQyNcXfZ54qKorK1pY8k0mg0vdHg9WLpZbC5WccjawYwAyLE4uPCQurb20n3xBFlseKw2rCKhdd25qGU6mvx+h355Y38/t1d3PnyFn7/7i7yyxtP2LUuueQSZsyYwcSJE3nyyScBw+saHx/P7bffzpQpU1i3bh2vv/46Y8eOZcaMGdx2221cdtllALS0tHDzzTcza9Yspk+fzhtvvEF7ezv3338/zz//PNOmTWPZsmVdrrlt2zZOP/10pk2bxpQpUygoKDisLD/96U+ZOHEiF154IWvXruWcc85h5MiRrFy5EoAnn3ySyy+/nHPOOYfRo0fzwAMP9Hi/Dz30ELNmzWLKlCncf//9ADQ3N3PRRRcxdepUJk2adJC8g42RCQnUe9u77Ktvb2eU9kRpNP2OjLg4girUpS0NKYVSilS3+xAlNZpTmwHhQd5WVcFnxfuxiIXS5iYAPizcy5yMLLyBAC6dVzZMfnkjj6/eR5writQ4J43tfh5fvY/vnz2C8anH39v+7LPPkpiYSFtbGzNnzmTRokV4PB4aGxs5++yz+cMf/kBbWxtjxozhs88+Iysri6uvvjpc/v7772fBggU888wz1NfXM3v2bLZu3cq9997L9u3b+cMf/nDQNf/2t79x5513cs011+Dz+cIv9kPJctFFF/HII49wySWXsHjxYt5//322bNnCrbfeysKFCwEjXGT79u3Y7XZOP/10Lr74YiZNmhS+7sqVKykqKmLt2rUopVi4cCGff/45xcXFDB8+nLfeeguAxsYT1yE5FViYM5a/rV9DZWsLHrvd9EIpLsoZEz7nuuVLAViy6Jo+klKj0QDkJCQyNimZHbXVxDtchFA0er2ckZnNEHMkSOurZiAyIDzIbruDUDdHsVJgs1iwWQbELR433t5eSZwrijhXFBaR8Pe3t1eekOv9/ve/Z+rUqcydO5eSkhL27t0LgN1u5/LLLwcgLy+PsWPHkp2djYhw3XXXhcuvWrWKBx98kGnTpvG1r30Nr9dLUVHRIa95xhln8MADD/Cb3/yG4uJinOZM695kcblcXHDBBQBMnjyZc889F5vNxuTJkyksLAzXe+GFF5KQkEBMTAyXXXYZn376aZfrrlq1irfeeovp06dz2mmnsWfPHnbt2sWUKVN4++23ufvuu/nss8+IG+RhP5lxcfzX7DOYPiwVh9XG9GGp/GT2GTocSqPph1gtFm6aOp0rxk0k1ukgJTqa66dM5fJx4/taNI3mhDIgPMhnZmVT2FBPmieWFTvzUShmp2cyNyOTqKOMbR3olDa0kxrXNTWPx2mjtKG9lxLHznvvvcfq1atZs2YNLpeLM888M5zn1+VyHVFKL6UUr732GqNGjeqyf/Xq1b2WufHGG5k7dy5vvvkmCxYs4Omnn6ajo6NXWSInEVosFhwOR/h7IBAIH+sub/dtpRT33HMP//Ef/3GQTBs2bGDlypXcfffdXHTRRfz85z8/7L0PZFI9Hq6eOPmg/Z2eqLWlJeFt7ZXSaPoWh83GvKxs5mVld9mv9VUzkBkQ7tXpw1JZMGo0NW2tdAQDdASDnJaaxoWjRve1aP2O9HgXzd5Al33N3gDp8a7jfq3GxkYSExNxuVzk5uayfv36Hs+bMGECO3fupLi4GKUUS5cuDR+78MIL+fOf/xze3rRpEwAej4fm5uYe6ysoKCAnJ4ef/OQnXHzxxWzduvWIZTkUq1atoqGhgba2NlasWMG8efO6HL/wwgt56qmnaG1tBYwVDmtqaigtLcXtdnPjjTfys5/9jI0bNx71tTUajUaj0Zw8BoQHWUT4es5ozsjK5gczZxHrcOgUb72wYNJQHl+9DzA8x83eAI3tfq45/fin1/rGN77B448/zoQJExg7diyzZ8/u8bzo6Gj+8pe/MH/+fNxuNzNnzgx7d//v//6P22+/ncmTJxMKhcjJyWHFihWcd955PPzww0yfPp1f/OIXXHnlleH6XnjhBZYsWUJUVBRpaWksXrwYp9N5RLIcitNPP51vfvOblJWV8e1vf5tp06Z18TAvXLiQHTt2MGfOHMAw4l944QXy8vK4++67sVgs2O12HnvssaO+9mCh0/ukYxo1mv6P1lfNQEaOJsvDzJkz1YYNG06gOJpjIT8/n/HjjzweLL+8kbe3V1La0E56vIsFk4aekAl6R0NLSwtutxulFLfeeiuTJ0/mtttu61OZInnyySd7nRR4POnpfykiXyqlZh5tXaeyvuoGV3Oqcqz6Cqeuzmp91ZzK9KazA8KDrDk6xqfG9blB3J1HH32U559/Hp/Px8yZM/ne977X1yJpjgJfIECD14vH4SD6OGSN0Q2tRnPiUEpR227MO0k6wvkgh0Lrq2Ygog1kTb/grrvu4q677uprMXrllltu6WsR+iVKKVbvL2RVwR4C5rKzZ2Zlc1HOGJ1BRqPph1S0NLNk+1bKzDkcaR4P102awjC3p48l02j6F7oF02g0x8yWygpW7MwnzuHk8+IiPivaz4f7CviosKCvRdNoNN3wBQI8sXEDdW3trCkpYk1JEXXt7Tzx5Xp8gcDhK9BoBhH90kBu9Hp5fWc+D67+kD+t/YJN5WV6RTyNph/yYWEBCU4XdjOdoogw1O3m4/2FhLTOajT9it11tTT5fCRFRwMCCEmuaJo6OthVV9vX4mk0/Yp+F2LR0tHBX9evocHr5bPi/YQUFDbUU9PeygUjddo2jaY/0eTzsWrvHiwi4VUs/71rB75AkHvOOheH7chfMcd7ok9HMMieulpa/R2kuWNJ83i+cqylRnMq0+b3o5RieX5uWF+X5+fiCwS4asKkw5Q+sSilKG9pprS5iWhbFDmJSUf1/tBojjf97te3sbyMem876Z44LGLBIkaM1HsFBZyRkU1MxKIOGo2mbxmXnMzK3TuxWw+8SgKhEE6bLexV7guqW1t5fON6GrzGRCSljHzpl40bT4zd0Wdy9SVKBSCwD1QLWIeCJVV3GAYZ6Z5YBFAcGN3p/J7mOboY5OPZoQ0pxWs78viiuMhwbGOskHvj5GkMT0jAMkh/pypYA8ESEAfYRiGi7Z+TSb8zkAsb6vm0aD82izXcw12xcwe+YIAfnT67zw3kBm87vkCQ5OhorHoSEgC1tbWcf/75AFRUVGC1WklJSQFg3bp1XVaqG6jcc889JCcnc/vtt/e1KCeV80aMIr+6mja/n0+K9hNSinOzR/CDmbOPyvi6bvnSLqtxwbE3vEopluZupT3gJ90Thy8YYGdNNU9s3MAH+wo4IzOLb46bQHL04MmVrkL1qNanIVjduQfsM8B1BSL9rhnQnCDSPB5mpWcQUIo1JUUAzErLYE5GJume2COu53jqK0BedRWfFu8nwxOHRaCkqYk1JcWsLS1mTnomF+WMYWZa+qDp0CmlUN63wfeRuUfA4oGY/0Csw/pStEFFv3szDnW7D4pd7Ozhxjr6zvPT7POxLG87+TXVIOCxO7hqwiTGJaf0mUx9jVIhIEhiYjybN28GYPHixbjdbu68885u5yqUUlh0p2JAkRIdw09mn8Ha0mLWlpZgt1q5fc48hrrdfSZTg9fL/sZG0tweFIrN5eU0d/iIczjxBYPsbajj71+u4865Zw6aIVzV/iqE6sGaZu4IQcd6lHUk4jimlL2aUxAR4YrxExmTlMymijJQ8O2p05k0ZGifGp9flpXijrJjEaG8uYnc6iqibTbaA0E6giGWbN+K3Wpl6rDUPpPxpBLYA74PwJIGYo7EhepRbc+D+w5EdDt6Muh3rcPM1HTmj8zBKhY+LNyLUjA7PYNZaRnEO4//cshHglKKF7ZvoaC+ni9KilAKJg0dyp2r3uLMrOHMHzmK6cNSTymP8jV//wKApbfOPabyKtQKoUbASO2lJAYsXXMr79mzh0svvZTp06ezadMm3n33Xe677z42btxIe3s711xzDffeey8AGRkZ3HLLLaxYsYJgMMiyZcsYM2YMH3zwAXfccQcigsVi4ZNPPuGLL77gwQcfxOl0UlBQwPz58/nLX/5y0Av+rrvu4s0338Rms3HRRRfx61//mhUrVvDLX/6Sjo4OUlJSeO655xgyZAj33HMPJSUl7Nmzh+LiYv74xz/yySef8M4775Cdnc2KFSuw2WxkZGRw/fXXs3LlSqKjo1myZAkjR47sct3du3fz4x//mJqaGmJiYnjyyScZM2YML774Ig888ABWq5XExEQ+/PDDY3r2/Y0El4sFOWNYkDPmmOtYsuiaLp6ouvY2Pi/aT0ApRicmkdrD8O/u2lo+LH/es7AAACAASURBVCygurWFUYlJfG34SIa63V2Gjxu8Xpo6fHjsDryBAAIMiXZT0tTIjprqQdHgqlALBHaBRHiexAISB/51oA3kQYXVYmHqsFQ++vaxp67srq/+YJDcqkoqW1sZEhPDmKTkg0Ksmnw+PtlfyNbKClxRUZyVnc30YWlYRAih6Iyt2NtQT7QtCpvFgkgQl82Gw2rlvX17B4W+Aij/RsB1wDgGsCRAsBxCVaC9yCeFfmcgJ0VH84MZs3htZx5zMrKIsliYm5HF10fl9JlMVa2tPLXxSxw2K6Vm7sh6bzu+QIDS5maqWlsobGjgygkT+0zGk4lSXsMbJTYINR84EDrYA7Fjxw7++c9/MnOm0Qg/9NBDJCYmEggE+NrXvsaVV17JhAkTABg6dCibNm3iT3/6E4888giPPfYYDz/8MI8//jizZ8+mpaUFp9MJwNq1a8nLyyMzM5MLLriAFStWcNlll4WvW1lZycqVK8nNzUVEaGhoAODss8/m0ksvRUR47LHH+N3vfsevf/1rAPbt28dHH33Eli1bOOuss1ixYgW/+93vuOSSS3j77be5+OKLAUhMTGTbtm08/fTT/PSnP+W1117rcs/f//73efLJJxk1ahSfffYZP/7xj1m1ahX33XcfH330EUOHDg3LMxho6ehgW2UFla2tZMbFMillaI+e284h2s3lZSzJ3UZIhUAZEZMX5ozm/BGjwp2gLRXl/HPrZtxRdt7bt5dAaCfbqir5r1lzGRITQ2ZsLNWtbfhDQQDya6oIhEJcPHosABYR6s345EGBAg7yEAqoYF9Io+nHhJSioL6O/JpqnFYbU4YOO+SIULPPxxMb11PW3Bw2dofFuPn+jFnhUd92v59HN6yltq2NBKeLl3K38fy2Ldx37vksHD2GGanpbKusJN7poK2jg9LmJkJKMT55CNFRUYSUorqt9WQ9gr5HqR70FQxFDp1saQYt/c5ABsiMi+PHp8/BGwhgs1iIOg6TfYKhECVNTQRCQTJi43psoOva29hUXk5texsjExKZPMRoyNsCfvO3euAHa7NY8IkgQEZsHGtKijg7O5shMX03tHwkdHqO1+6r67J9VJ7kUIsx0UcJ0GHsM5123dPxjRo1KmwcAyxZsoSnnnqKQCBAWVkZeXl5YQP5iiuuAGDGjBmsXLkSgHnz5vGTn/yE66+/nkWLFuE2X9Rz5sxh+PDhAFx77bV8+umnXQzkxMRELBYL3/ve9/jGN74RNm6Lioq4+uqrqaiowOfzMWbMAa/nwoULsdlsTJ48GYALLrgAgMmTJ1NYWBg+77rrrgPg+uuv5+677+5yvw0NDaxZs4ZFixaF9wXM/KLz5s3jpptu4qqrrgrf60CnurWVv21YS0uHjyiLlU+Lggx1u7k1ovGMpLWjgxdzt5PgdOE0dTQQCvHOnt2MTxlCuieWkFK8uXsniU4XMXZjWNZutRJSio/2F/Dajnw6gkGmDUultqWN1o4OAqEQDquNoW4PSilCSpF6FDGXpzJicaNsIyBYCpJs7FQKVAPYz+tb4TT9ipBSLM/bzprSEqIsFkJK8W7BHq6dNIXTUtO6nNvZoX01P4+KlhYyYg+MIJa3NLFq726uNDNjbKksp7q1NXyO1WLBIsJHhQX8Y/OXWMXCFeMnsLa0BIsI/mAIq0WYbIZ+NHrbGRGfcJKeQt8j9iko/5egEozRHoBQE1jiwTK0b4UbRPRLAxmMWClXL0vWdqaDqW5rI87hICsu/pCzXMubm3l2yyZe2ZGLABeMHM01kyYzeciBH9r+hgb+/uU63t+3F0GYl5XNJ55Ybp05i2Exbs4bPooEl4uX8rbR0O4FjJdJg8/Lqzvy8AUD3Dh1er83kI8Ph/I6dTWQY2Jiwt93797NH//4R9atW0d8fDw33HADXq83fNxhGkxWqzVsVN5zzz1ceumlvPnmm8yZM4f3338f4KBwiu7bUVFRbNiwgXfffZeXX36ZRx99lFWrVvGjH/2In//85yxcuJD33nuPhx566KDrWyyWLhMLLRZLWJ6ertXl7pUiOTk5HJMdyRNPPMHatWv597//zWmnncamTZtISBgYL/269jY2lpdR0dLCiPgEpg1LJcZu541dO+gIBkj3HGg8y5qb+LhwH5eMHXdQPYUN9QRVKGwcA+ZQq7CrpoZ0Tyxtfj8NPi+pMR5eyt1GRWsLAKv372P1/n1kxcVjt1r57zPOYmdtDVe9vAR/KER7IMCy/O0EgiFunnYaOQmJJ/7B9BPEdTmq9UnDSAZAgW0CYp/Rp3Jp+oZAKERedRW5VVW4omzMSE0nMy6Ogvo61pSWkO6JDbepvkCAZXnbGZ+c0mOb/GV5KSnRMV32pUS7+bK8jEXjJyIiFDY04LJFsSxvO4FQiCrTG/zx/n2kemKx2SxcNWESczOy+M7ry/EGAxCEt/fuJhgKcc7wESwYdewhXKcctnFgnw0d641tAXAi0Tch0nfZgQYb/dZA7g1/MMjS3G1sqSzn4/2FANw0dTrfmXpajxkuAqEQT2/+ko5AEIeZiiomKorntm7irjPOJjk6GqUUy/K2Y7fawumqMmPjKG5qZE1JEeeNGMU3xozl1R15hJRCocLL6kbiOQWyNXR6ir9SDLI4QdwgURAyQwUk1lTi3o3HpqYmPB4PsbGxlJeX884777BgwYJDXmrv3r1MmTKFKVOmsHbtWnbu3InT6WTNmjUUFRWRnp7OSy+9xG233dalXHNzM16vl4svvpgzzjiDsWONofXGxkbS09NRSvHss88e/b0DS5cu5c4772TJkiXMmzevy7GEhARSU1N59dVXufzyywmFQmzbto2pU6dSUFDAnDlzmD17Nm+++SalpaUDwkAuaWrksQ3r8IcMHdtSWc7qokK+N30m+TXVpHZbwjbJFc2myvIeDWSjUe55gZHOGH+nzYZNLHxZXkqjzxc+XtnaSpTFQnmLYTDfvGJ5+Hx/hzHSIQiJLhffnX7aKTVn4Ksi1iHg+SkEdqGCTYgtFawj9GSfQUggFOK5rZvZVlVBtM1OQAX5tGg/V02cRLWpQ5EOJ4fNRqA9RFFTI2OTkg+qz2KxmDHEBwgphTWijiHRMbzX0kSDz9tFvevb26luawPgW6+8BBgTfwvq6wFjgr4rKorbZs3p4qEe6IhYwLUI7LNQgSKQaCRqLGKJOXxhzXGj3xrIIaUobKinsqWFWIeD0WbQ/xclxWwsLyMzNs40eBVFDQ2s3L2TqyZOPqieosYGVuzMx2G1hdPGrdyzC18wwIKcMXxt+EiafD4qW1v4oqQoHGO8LG87IaXIjI3lvBGjODMrm1S3m0kpQ1m5ZyfxDmc4o8W8rCyGRrsZPliGgMQN0gbKz4G3XRAk6ZDe1dNOO40JEyYwbtw4srOzDzIue+K3v/0tn3zyCRaLhSlTpvD1r3+d1atXM2vWLH7wgx+wd+9e5s+fz6WXXtqlXGNjI1dccQU+n49QKMQjjzwCGFk2Lr/8chITEzn33HMpLy8/6tuvqalhypQpuFwulixZctDxF198kR/+8IcsXryYjo4ObrjhBqZOncodd9zBvn37UErx9a9/nUmT+jYx//FAKcVrO/KxiJDqPhCyUNbcZKZrtBBSISwRXo9AKITT7Ij6g0H2NdTjDQTIiI1lREICTlsUrR0d4Q6vL2h478ebGWNsFgtJrmg+KypifFIyu+trCSmj0zrM7WF/o9FpC4ZC5FZX0W56/6OjosiKiztuC5Gcaog4IWoK0vPAnGaQsKu2hm2VFWTExoXf175ggNfy8zkzK7vLJNdOFBBldiirWlsob2nBY7eTHRfP3PRM3tu3hwyPUZ9SiqrWFs4dPiJc/4jEBAobG8iOi8djt5NXU01rRweuqCiazc4rwLaqSpJcB9IvZnjieOmqa0/g0+i/iAjYshBbVl+LMmjplwayLxDgua2bya+pZvX+QhC4YtxEvj9jJl+UFLGmtJj1ZaVhg/fz4iIsIlw2bsJB8cq+YM/hAAK0+42GM8pqRSljlaFOGnxe7BYrLtuB1mRUYhKjEpO4aPRolufnkuByoYBxSSlcPm7CKZXM/FizVwCIWFGWIaBaQdkBG1jciNhZvHhx+LycnJwuoQYiwr/+9a8e6ywpKQl/nzNnDu+99x4Ajz76aI/nx8XFHTQ5LpKMjAzWrVt30P5FixZ1iQ/u5IEHHgh/t9lsXSbRRR4DuPvuu7uEZnQ/Z+TIkbzzzjsHXeP111/vVd5TFV8wwP7GBtK6eYkTXS5ya6qYnZ7Bp0X7jQUKRAgpRW17G1dOmERlSwtPbtpAg9cbHne4YNQobpoyjX9u3UxjsxcFWEW4asIkUiLCdZp8Plr9HdTVtaEUWCzCJaPH4YyyMazOTVApRsTFk1tdFS7TEQjQEBHSo9EMRnbWVOOw2bo4MxxWG0GUOaJqtMGd83Tq29tJcLlI98SyLC+XNSVGe6uAVLeb6ydPo6S5kV01tYgYXt+cxCTmjxwVrr+8qZmGdi+BUIj02FhCIUW808m52SPYXV9HTFQU10+eyu3vrKSkqTFcrqy5iXa/v9dwS43mRNIvDeS1JcXkVlcZXmJTSZt8XlbszCcQCh08iC+YoQ8Gde1ttPn9pETHkBkbx9eGjyTJFc0bu3YAcPm4CZQ2NTI2KQkwPEsxdhseu4NGnw8BxiYmU93WSryZNQHAG/CzrbKSPXV1jE5I5Bujx5ISHdPni5f0BSJWI6yCwTHRSdMzVrFgs1gIqhC2CC+xPxjC43CwIGc0dd528quqjKFYFeKMzCxmpqVz3rNPEVAhrp04BTA8y2/v2cMPZ87i52eeQ0F9HUGlGB6fcNCEvoAKGRN9QkJGXBxxDgc2q4UOs0Nc1dLCntqa8LZVhFinkxHx8bT5/UTrBlczSIm22wmqHjIhKEWaJ5ZrJ00xYoXbjXPiXS6+M/U0Fr38ApUtrVw3aUrYGVTR0szK3Tu5ZfpMipsaqWtvJ8HpIisurosB7lchRMBqESwijEpMJCsuzryswh8M8tvPP0UAi1joXP0g1uFgU3kZZ2Rln+CnotEcTL80kNeVlbKmpJj1lgNe4tVFhQRCIc7Kzqa+vZ2M2DiW5+cCcGZWNuOSkgmGQjy7fSt/Xb8GAeaPzOHi0WO5bOx4lufn0hEMAEJpcyOzMzIZYU7SUUrhDynqve3hRUp21tZgt1nZ32j0Ztv8fh7+bDVbKivYVVuLzSJ8fdRofjBzFiPtg2eyT39g/vz5zJ8/v0+uHenp1hijL3MzMvl4f2F4Yk8gFKLO287CMWNw2qL4ztTTqGxtocHrJTk6htveeoMl27dS1mKEM3Xq8aLxE3FYbWyqKCMnMYmJQ3qfrf3J/sJw2qeSpkaKlKK8pYXLx47ngfMu4JIl/6LB68Vqeq2tYiEUUmyvrqK6tYXswRIOpdF0Y/qwVN7ftzfsmVVKUdPexjC3m/TYWDLj4hifnEJxUyM2i4WsuHhsFgtNPh+2bvHJQ2LcRriE309WXDxZcfEHXe+65UvxBgLUthtpFf2hECjD4RQdZcdps7G9qhJ/KGS2vwq7xYpCUdrcxLqyEm0ga/qEfmkgHypSYV5mNvvqGyhqbKAjGEBhTI67eMw4Xt2Ry/aqShxWKyDEOhwsy8vlh6fP4o658zhvxCh8AT8ThwwlJzEprOgK6AgGiY6yh+Oh7FYrDquNRp8xJPvclk28vnMHTR0+gqYR/UVJEbEOJ78465w+XwJTKdXnMmi+Gt1T5J0qXDhqNC0dHWyuKEcwQmkWjBrN9GFGWigRYZjbwx3vrAyX6e1WrWaKp0NR195Gc8eByXkdwSAWETx2O+1BP9cuW8qu2hqsIgQiLtTq70ChkENMJNVoBjpDYtzcOGU6L+duo97nRakQ6Z44bpwyLdwmuqKiGJOUzHXLl5JXXcWElCGUNBnOqsgOrWCEK4Z68kibKGBHTXV4uyMQwGqxYBMLcXYHTR2+g1bPBWNCrVJGiIdG0xf0SwN5VloGpc1NZHrieGVHHmAYxuNTkkl0RfPDmbPYXVfLgpzRJLmiGZ+SQiCk2FxRwRclRZSZE+3+vWsn/mCQqcOGcdPU6b2uNW8RIdHpwh0VRbX5gkj3xOIN+Elze/AFAizJ3XaQIle0GBP7Gn3ePlvlD8DpdFJbW0tS0qEnyWn6L0opamtrwwuhnEo4bDa+NXkqC3JG0+TzkeSKxtMtJOK65UtZW2p432enZ7C3vpYoc7LdovETCYSC7G9oYHd9DfEuJ5ctfR6XzXbQhLpmn4+LX/gX3oi0e0qBzWrhzKzh1LS1YrX0bAKHlMJjd5AYHd3DUY1m8DB5yFDGJiVT3tyM3WplmNt9FG2HsepdfXs7O2trcNqsbKusZEZaGk7bwaFLN02Zzv+rrjKdUFEkOF1EWS3Uetupbm+jxsxiYRMjG4bdYiU5OppAKESrv4MJKUOO341rNEdBvzSQZ2dksre+jtyqSnyBAAgkRbv45tjxgDGsOyFlSBfF6VSy7k2jRYSmiFRQPdHS0UFhQx113nbDE4sRASXmRITK1hZKm5vCnuNOguZsXZulb/MSZmRkUFJSQnV19eFP1vRbnE4nGRkZfS3GMZPoiibRFd1lCdpD0bm4R1FjPbtqa2nu6CDDE0ttWxtlTU1dJuV1sqminIAKYbdawxNwHTYrwZDilfxcoqyWcCYaqwiiFFaLBbfdjoiwMGcM7kE4Z0Cj6Y7daiU7/uCQCCCsw52d2rzqKjx2O/FOFzPT0qlta+Pj/ftw2mzUedu5452V3DhlGt+fcXqXRbhaOjq47+P3wyOz3kCARp+XjNg4Gr2+LuEaNouFYDBECIUvGECFFNlx8XxtxMgT9Qg0mkPSLw1ku9XKt6dOp6ixkasmTibO6WRUQiK2Q+QtTXA6iXU4uXDUaN7ZuxuF4pzs4eyoraHd76esuYm0HjzIbX4/f12/hp11tTR6fRgRUFDU1Ig7yk5lSzNOm63XDBVuuwNXD6vynUyioqIYMWJEn8qg0fRGZ2M7Oz2DPDOrRGeDOS45hU0V5aR5YpmRls4H+/ZS1NRITXsbNe1tXLPsRSwiYWO7uKmRBaNGEwiFWLHTSC83LimFBtMbNSTGHTaQE5wuqttasYiQ4HJx2rA0bp05qw+egEbTvznSTm2q28O3p07nd198SqvfWKGy0zn1r62beWfvbv79rZvC53cPj3BYbeHMNBmxcVw0ejQfFe4D4JZpM/n92s9o6ehAAcPcbn58+pxBsviWpj/SLw1kMOIWs+Pje+3hdsdqsXDlhIk8vflLfMEAvkCAT4oKqW1vp6ihgaq2Vq6dOJkZaeldym0qL6OqpYUEp8uIsTKdxJ0LgiS4XKRExzB/xEg2lJVR520PLxKS4HRyyZixg2rBAc3gIBAKsbu2hj31dcQ5nEwZOvSwYUTdvU6d24fC6PQKoxKSSHC66L7QjD8Y7OKRSnW72VxRTronFrfdQXvAT3OHj5LmJobHJ/D6dTeEr/vCFVdT1NhAcVMjKTFuchISta5qBizVra1sq6zAGwwwNimZEQmJx5R6NNJYnvrYn4EDHVoR+L+P3md0UlJ4MY9OLBbpkioVIM7p5JzsEXxeXIQCJiSn8EVJMXvq6rh+ylRumjKdW2cc6LTOzcxke3UlFoQxycnEOk69kDPNwKHfGsjHwrjkFO6YPY+R8Ym8vWcXIxMSWVdagoiQ7IpmeX4uE1KGdMmpuKe+ls9LigiEVDi+2GomO58ydBjnjRiFiHD3medw56q3aaz0EsTwcs/LzObmaaf10d1qNCeGjmCQZ7dsZEdNDZ8W7UehuGBkDrecNpMRR5H9Ia+6ija/PxyaNDs9gwkpQ7hz7pn819v/xh8MMSc9E1dUFAX1dYAx8Qdgef52fMEgj19yOckRMcMzUtP5eH8h1a2tXDNxMv5QkMqWZjqCwXAquEgvWHZ8gs5YoRnwbK2s4Lltm/mocB8CnJk1nDnpGSyaMOmQRnL3Tm2nQRwZvhgZWbivvp4Yu51AMMQV4yYgIuFJe/Myszgra3iX+mMdDuZmZBEIhRga4ybKamVbVSUA/zlz9kH5jaPtdmalZx7TM9Bojjcn1UCuaWtjZ201KBiTlNxjjOFXJdXjYZjbTXlLC7Xt7eFUUv/evRNfMMB3p88gJzEpfH6SK5qQUjhtB+KIHVYbIaW4fOwEpg4dBkBGbBzPXHYFnxcVUdzUyJikZKanpvY4KUGjOZXZVF5GfnU1mbFx2M2FdxxWK0u3b+W/553da4O7ZNE1FDc28q1Xlobjg/3BEEFzJbyOYJDylmbuevdtmnw+XLYo6tvb2VVbi0IR63AQHWUnpBRzM7IYm5xMcnQ0zT4fgVCIeKeTOKeT/5w5mzd37yS/phqnzUZudTUFDfUUNNT3OFQcCIUoamxAKUVGRG51jWYg4A34WZq7jUSny1xd1phkvqa0hGnD0hidlNRr2ZBS1EWEQXSGN6wtLeHaZUsZ5vbgsFrZU1+Hy2bjG6PHUu9to83fQUVLC8PcRvhDMGTEDs9IS8MfDNLk8+G223HYbFwydhyxDge/+PBdQkqFQzL+c6WxcFJPYR3Vba3Ut7eT6Iru0kHWHEyo9gYALEnP9bEkA4+T1lKsLS1meV6uEW8kcE72cL45dgJnHmF+w86E/3brwRPiCurrWLV3D8VNDaS6Y4m2GUtQ90T38rPSM/ja8JHERNlZVbCHkFKcNiyVGanpLBg9psu5TlsU50WsDqTRDES2VFbwRbc85O8W7GVuRia1bW09dmzb/H7yqqv455ZN+EMhmnw+kl3ReE3j2B1lZ2LKEFo7OnDabMQ5nXgDARp8XhKjXTisVvyhEGXm9SakDOHCUaN5ZvPGcNzyULebqyZMIisunu9On0EwFMIiwrdeeanXeylubOTZLRtp8vkQEexWK9dPmsI4PTNeM0AoaWrCHwzy5u5dYX19dUceHcEgZ2cN79FADilFSVMjZ2RmsbeujuLGRpAD7SwYXmm71cpQdww2seALBNlaVWFmmWokIzaW4qZG5mZk4nE4WDRuAnvr6/jb+rV4A0GirBbOyR7O+SNGcf7IUTy5aQNKHZhQ3xMdwSDL8razqbzcXJUPZqSmsWj8xINWydVoTjQnxUBu8LbzSl4eydExYe/NkGg3r+/MZ1xyyiF7iE0+L//etYPNlRWgYPKQYVwydizxThfNPh/L8rbz4vZtuKJslDU3Y7UI04elMXVoKiMTEnlz904Azs0eQazTQUZsHN6AH38whNtuZ0iMm1umz2T5jlzmZmQiIsxMTeOSseN6lclvesIsIqSZiyNoNAMFh83aQ05mIya/p4myG8pKWZ6XS0lzAyVNzcaCIUiXfOb+UJA2vx+rxRIedbGJhYL6OuZkZBJQivzqavyhIE9fegWxDgd/Xb+W4qZGhrk9CNDo8/L4l+u564yziHM6u8QTe+x2JqQM6eKN8gUCPLVpA2LqKRiG/LNbN/M/887q09SMGs3xovfJ6wpnD6MljV4vz2zeyL6GOrZUVuKy2XA77LhstvAEV4fVitthZ9rQYVS0tIRDLpp8PqrbWrFbbVyYM5ohMTH4AkGSoqPJq65ieV4uQ2PcJLps+INB3t67G4fVxjnDR4R181ATAlfv38eX5aVkeOLCS9OvKythSHSMdk51o9NzjH9deFt7kY8vJ8VALqiv58PCAhw2W7iH+/quHfiCAa6cMKlHAzkQCrG/oZ5nNm+iPehnTXExiJG2raKliR/MnMVjX67nk/2FlDY3IeZy005bFMPcHpo7vDR3+MKLicQ6HVw9YTIv5W5jY0UZSkFmbByLxk8kJymJu844iyafF4fVdsh13/fU1vL89i1cn/5bAH6z9W5unDqt1xzLGs2pxuz0TLZUVJDmiWXFznzAWK1yeFw8Ca6uRmVFSzMv5W4jyRVNTVsUHrudYChErMOBK8oIoQgBc9IzUUpht1rxB4NEWa1YLRZCAUVtWxuThw4jv7oKu9VKnNNprI7X2ECq2xPOzxrvdFHa3MSWygrOzh5+kNwhpXivYA9rSorxBgKkREfT4PMyPO5ADHK0KVN+TTVzM7JO2DPUaE4WmbFxJLhcnDd8JB8UFgBw8Zix1LS2McUMEYzkpbxtlLe0kBQdQ0xUFNFRdgKhEHEOJ/XtXkIopg4Zhtthx261hielg7FUdKPXy6bKcgrq61l29XXhYx8WFhDvdIWdYFFWK0Oi3XxQWMBZ2cO5/pWXwqNBnQb3nrpaVu3dQ2lTI8kxMRTW15PmiQ3rvEWEIdFuPinerw1kzUnnpBjIFpHuk9MNFD16X0uaGnlmyyZezc+lweslOiqKVnN27KdF++kIBsmOj6eypQUF+Mxh3KBStAcCvLN3F3MzsvjFWefw3WmnYbfaSPN4eHrTl+yqq+WL4iJEwDV8FI99uY67zjiTWIfzsB6lJp+Pf2zZiMtmw27GLHsDfp7euIH/OfOcHsM/NJpTjbFJyVw0ejTv7t0b1q0h0TFcM2nyQeduraxAEBw2GwkuF6UtTRQ1NOILGDPpxyalUNTUwOaKcqKsFpRSBEIhUqJj8DgcdASDrC7az6qCPWEdv275Utr8fsYmJx+0eEGUxUKDtz18HhyYYLS1soL/9/4qJg8ZSnlzM40+H/5gkJgcOynREWEhooz86ppDomMbTw2sFgs3Tz2Nf5gZnADq271cPXESqR5Pl3MbvO3srq0l1e0hqBQWEUKhEIWNDQjgtNkIBELsqavFHwoSE2Wn1d9Bk89HSkwMBfV17KipJmjGEkd6g+vb24mO6ppj3GG18sqOXHbUVLO+rBQwRnsAdtZU8/jGDXQEAhQ3NdFSWkxVaxtThw5jemoqFjE84zaLhUaf1tfudOplpJ5qnT2+nBQDeVRCIuePGEWs3cHKPbv4/+y9d3xc1Zn//z63TdeodxfZlruNccWAacGLKYEECMXAkrpJyCYhPfnlu+W7wwskFgAAIABJREFUm2w2+93dFJINKUDKxgQIkJCEQBLAgAPGNrYB9yI3WbKsXqbecn5/nJEs2XKVrWLNm5dfSHdm7r0zmnvPc57zPJ8PwPXVk2lLJqnO71sfpZZF3wSpLnyR+a+btmQST0qe27mTtxsbSLvuMQYetutRHAoTNC0mZvZf39nJjzesw6frPY17L+2tIeU6LK2ayGXjj9URTtg2r+zfy9qDtbhSkmNZ3Dv2v/EbBpV+VbrxwfHfJuW47G6dxbTCorP3oWXJMkQIIVg6oZqF5WP4wIXzCBomY6LRfiezKcft2V4cChNpb+upY3Q8j8Z4OwHDRAMaYjECplp6bYh10ZSIowlB0nF6gmNQ6heTCwpBquaf7lIKKSVp16UqL7/Pc3vOxXVxkkneOFjLzKISQpbFzmY1Ib6qagJhy4freUhJn0bdLGfGqWrnZjn3lEUifPGSy7hj5mzSrsuYnCihfgxx7Ew2WAiBIQTV+QWsP1SPzATLRcEQrckEZeEwu9ta6Uil0DVBZypJV0bqzdJ1Ev1MMKvzC9jceLiPbnF7ZlW2t9V0ZzrNlsbD/HHXTgRQ09aCXzcpDIZJ2g6bGhsIWRZTM+NpUzzOhaXHZsKzZDnXDEqAHPH5uHvWHH75zkY1w5XQnkpx58zZRI+y1q1pa+UPO7fj042eYn6Zabjz68qww/ZcXj2wD1dKzF71V1pGnm1+RQXLJlX32W9nOpUJs49y2kPQ3I/Xu+t5PLLxTXY0N7Ny3x5s1yVsWSxZnOq35iudzUhlOc+IZlQjTsTUwiJW7tuDJ1V9cm1HR8+SbF1nJ7bnMr0whwMdHQRMg7Bl0ZW2CZkmY3Nz6UylCFlWTxa4dy3xszt38JeaXUQsH4am0ZZKMDEvn6kFhYAKzO588jE+M+VBXM/jrpU34tMNZTUtBIbQyfUHiNtpNjU2MD6ah+25XDauKlsSdQJOpbaxt3V4NlAeHhiaxoRek8f+KAgEyQ8E6EglyfH5WVNXS1c6jSslrpQc6uoEBHHHwdQ0Ij4fKcfF9tyMkkyA+kyCqTsT3P13v3rCJLY2N3Koq5OI5SNmq/3+7D238NUX/8yWxsM9esrTi4qp7WinJRFHF1pPA94PLvk1ScfhS2/eTa7fh+tBbsDP0omTztGnNvLpzhx7zXf3uWa7H8ty5gyaisWM4mK+uuQK7pg5G4AJefn9Wr7avbpou+nOSKVch2TmYZH594srnsH1PP725ZsIWRbTC4v4uwvnM6u4pM8+ikMhLhtXRWkozG8ydZW3TJtBbUc74/sxI9nd2sLu1laa4zEc1+ORy36DXze4e+V7KA1H+NGlT6IJweN1X+JwrIsvXxodwKeTJcvIZGJ+PhdVVLL6YC2mpuF4R67fsGXRkUrheBJXeoQsi/JIlIRtk+PzMSYaZWHFGN4zdRp3PvkYWxoP92m0u3ZSNWNycnj94AHSjsOVVRNYUF7Rp5v90VtuZ9P2h4il0+T7A5SEQkR6mQuELItJkTzy/EEuGTOOGcXFVOXmHVO6keXEZAfc8wNNCG6fOZufrF/Hwc4O0q7X51owNB1XesTSaQxNozAYwtJ0OtMp2pJJbO/Y8bmbknCYTy+6mL/u38e+9jaqCwq4ZOw4KiI5PZPZ3is+JeEwNW0tfRJOEqUWNTYaZXpRCZMLCphdUkbwBH1BWbKcKwZVEDRkWf02DfRmbDTKFeOqKAqGeGbHNqSUhC2L3a0t+HSDuKOWYruLKjwpEQjy/AHGRaN8+ML5zCkrP2a/uf4AV4yr4oU9u3E8D4Gqda6I5PQRRe+mMRbj5b17+P7ix/EmSeYX1gPwo0ufwtA04raJpesc6urk2kmTyQ9ktRqzjD40Ibhl+kzmlpWzramJpRMm8a3Vf+VwPMYV46vY1NhAPJ3Gk5L8QBApJbbnUhIO43geD657g8c2vw1wjAqFEIJZJaVMLijkjdoDrDlYy19qduEzDAKGwfKK/yTi8zE9uheAH17yJJpQmTSB4Mvr7yZkmeT6A9w4eWq/ZVRZjuVEtY3ddAc83T9L6SG9LhB+hMjqTA9nqnLz+MLFl/L2oUMsGTuOqtw8PvHs70g6DgvKK9nZ0kRrMkHANPHpOinXJWCaXD6uis50il0tLQjR/4pBUTDEe6ZOp6a1hZf37uWnG95ESjANnaUTJtKZSnGgox2AayZW82bdQVoSCf57wc+QSGbk7gPgH2c/wtjxvzuBQkeW3vR3zZ4MKVOAhxBZNZ/jMezuZLn+ANdXT+F3O7aRdh1AEPX7mVdWzryyCn721gaSroMnJb+84hkWFqnA9SdLniJsWfyltZqr6L/b9drqyVREIkzMzydhO1xYWsbiMWP7NQ7ICwR6Sjt6I1Cd8D/f/xkWVYzhvgVlp+UuliXL+YYmBBPzC3rq/d81YSIH2tt5Yc9uErbN3rY2EIKdLc0IYE5pGTmWj7hjE7aOdb/rjeN5PLzhTbY1NXKgs539bW0kHZeQafKu3C7aUykmZkoeLygppbaznZZEomfSnB8MUBwMM7esHC9TZ5nl1Dje0u3Rg6+X3gzJ34PXCsKH9F2B8F2GENmm5eFKrj/QZ8JYFonQnkxSGgnTFI8RMEw6Ukk6Uik0TWNOcSlPbt1MXiBAfuDEAdVbh+r5+dsb6Ugl2dHUREsyoUojXY+AadCZTvPGwVq+seplOlIp/IZJ2nP7BMOFgWBPyaRsuQfIrl6cLaTXgUz8DuxNgESakxH+mxB6ti/jaIZdgAxw+fgqJuTlc8X4KhxPUhnJ4bc7ttCciKFrAgslFdV7sLN0HSkhmrGb7Q9NCOaUlTOlsIi/HtjHmoO1PL97J5auEzBMJuTlc9GYMVTl5lGdX8B7p07nK+vvoSke5ydLnsKn63xrx0eoCEe4a/Ys5pZVDMbHMeqQ0gPZnslGZWe3I5Ex0WiPDXtjLMadTz5GMlOnv7OlmXV1B5laWNRjO9tfHWu3msWk/AISjk1rPIEQgqjPR9pz+dza5UzMy+fz037EuGgumhCMzcllbEA1An/9wp8TNE3eiP8b//n6KmK2zbTCIq6rnkxpOJItGxggj95yO9KpQXY9CCIX9HKQaUj+AQkI/5VDfYpZTpHHbr2j5+eU47D5cAPP7NjGb7ZtxdQ10oVF5Ph95Pn9J6w1dz2PZ3Zsw6frHGhvJ+E6RCwfjueRdlN9jEhA9Tn8z3Xvxml+inivRt32VIqG3dfzeN0X+UR1ihzr+ON6liOc7F4mpYuMPQJeA8ufV70cK5bVIGM/hshnEeLYstfRzLAMkEENsGOiR+p6x+Xm8sKe3bgSdjY3sbOlmQ+88l4evep3aELj6UNfpD2d4pMLT+zjbrsuD214kx3NTby0t4aYbaMBv7rqD1iGznffuJ+7Zs1hfnkFn1y4mKRjs2r/fixNx9B0ioMhxkRzmZxfSMpxsra1ZxnP3gGJp8FTWUdpzkMEbkCI7A1ypFIUCimJqLZWAB669Cm60mk+9tqtJ31tynHQhaC+qwsPNckVQinb6JrG4XgMiSrb6LbZ7aYyJ0pTPMYLe2ooCYXJ8fnZ3aKcvj67+BJGa5ue9LpApkDLQ4gTL2GfbOlWpl4BEQAtk8YXFmilkFqJ9F2KENna0ZGGzzCYW17B3PIKtjQ14rgee9paqWlV/443mQX4wfU30plOkbTVKi8SNE1gaBr5gSC5fj8NsS5yLF+f13uBIAUBIBMj265LZeAgd1X+JzliB9ij1whDShu8dtBCA08YuXtY/mwcRCFrGtQK+fLn80GmePTm7WAeK+U5mhkx0V1RKMQdM2dzx8zZtCUTvHZgP3/cuYNvbf8YBcEQAcPjzpmzGX+ScoddLc3sbWsllk73dNsbmo5E4nqSlO3wm21bmVVcQtTv51+vXMrGQ/W8VjuLpOOwbGIhLckEX3t1JZ6UTCko5MYp0/q1381yekj3EMQeARFm+Z+KQEpWXPMGEhsRvOPkO8gybPnHy67kI7/7DWnPJdcfQEKf2v/+BttulYSWRIK4bVMaCpPstU9DaLiexw9rPsUXL15CIHMNdgdzXeGf8J/rV1IRCfdIxRWFQtxQ9DXc5h+A/k7P80fDwCu9LmTiN2ppVQgQucjALWjmyRUCjvv5uIdBHNV/ISzw0ioIzwbII5LbnniU5kSCPZlJbeAUE0EBw8QQGrbr9lhFy4xCRjDTXLugrILrqqf0eV339+vQgfcQS6f5XeNXubn0G/QuQe6v5PF8RkqJTK+B5B8z15JAWhcj/Nec+cTT6zz+8dz27OV6FCMmQO5Nrj/AddVTuHbSZBq6urA9j+JQ6JSyubUdHbyyfy/xtE3KdfnlFc8AMC/ThPdx7Xv8b+3naYrHqchRjj4XlpVzYVk5UkoeXLeGmrZWXj+wHwSYusaDb67hc4svHZWdttLrVLWHWh5Ci5z8BSfaV3oNy5+PgrBYc6h7dlvCims2Iv3XIrSsUshI5A87tvOdN16jJZHgoSVPUeGvp8IPn6r+H3RN4yOrbu7zfE9K2pNHQmHbU+VUWsYtM+k4ytDAc4n6g0zKy+9x4+wOju9a+W6SzpNMLijsY0kNStox7bowikpkpZTI+K/A2a0yvEJTg2X8EWT4Mwi98Mx2bEwEe73KInfjxUCLHhs4ZxkRtCTi7Gxp7imJAuUtIICFFZUnnMxe/tOfsLhyDJ3pFEjwGzoJ2wEkISuIJyUB02Re+bGN9F7z3eRoe0gKtQr81KGvAHBz6TdIuy6FFT/hWL2p8xhnOyR+DVoRaPkgHUi9jMRABJad2T71YlZc0wZaOcufU+UuK5bp4LUijKzW9NGMyAAZYMvhBn69ZTPNyTh5/gBXVU3k0rHjTtiE43oeuX4fJ5uIelI1ExxNbUcHj2xcj884Yjbyyr59pFyHaydNZn756KlJltJFJp+F9GuQfBkEyMiXEf7rz7w5x2sGjlryFUL9kzEgGyCPNPa3t/H9tW9gaTqzS0rRj1rSDxhGn0yylJJrJlWz+XCDGmQRXFhaSmMsTlsyiaFpOJ6HrqkSi4sqx3LnrAv6lW3r1kjvbTYC8IOaT3LtxGpKQv8EjJIaZK8R4g8DFgQyExItAl4Maa9H6H9zRrsVvsuQ9lvgNYCIgkyoazVw90nLN7IMP6SUfGv1a+T6/RQFw2xvVq55UkqkK2lJJI4pLexdO2xoGmHLx4t7a5AS8gJ+hABTM4jbNtOLinn/nLmUH0eHvNObwA/3fIySXguyj9Z+gZid5h/Gj676WFW+FAGRka0Uhprcpl9D+t91ZllkrRzM2WBvBJm573qHwJgEelbl52hGZID8Uk0N33jtZZBQ19mBoek0xeO4nseVVROOeX7Ctnl+907eOFhLynGYlJ9P0nbY1tzEXStvxBAaj171O3RN4/9t/QhXVxX3K9vWnkpmfEb6DsYCaIrHzs2bHabI9GuQekVdcN2F/alXkVoewrfkzHZqTGLFNdtAr2D5H1X2YsUyD6QBWrbDdiSxr62NF/fU8Jc9uzgc66IyRw2IX9/0If5h1kPYnscHX30v11dP4Y6Z45FSIoTgQHs7bx86REUk0mM1Oym/EL/Rzv0XLUYTGh2pFKamMbWoiJJQGCEEDV1d+Ds/QES8BcCnqg8A8JUN9zC3tFzpueo6zYkYYctifkUFdA3NZzMkyLhKDBwzjzDBbT3j3Qq9CMKfRKZWquy0UYnwXY4wssYOI4mEbfPXA/t4cU8Nr+7fi57xr51SUMTbhw/1NNc1xmJc+fOH+N0d91AQDPLoLbfz36+voqGrC1PXAMHKfXt6DEGq8vIImCb3L7qYsdEok/ILsXSdpGOzq6WFhGMzQX6ahG1T7t9GkQkfGvcdhBA83fAV1ZybSHDL9Bl99M9HBV4bHNN7Y6hG2DMsXxJCQPA2ZLqKFde9AdID63qE76Ks6kw/jLgA+VBXJw+sfZ2DHR29bKYdXtpbQ3M8To5lMau0DCtzMUkp+cXbG9nR3MTq2gMgYEF5BbXt7YzNjbKnVQ0On117J1Gfn5umTOC2Gf0XqheHQlw+toqySISnt20BMmYjne3HnRGft6RehfQbgAZendqWfgO0PDjDAFmYc5Hp1eDWgSwAPPCaIHBLtklvBLG7pZkfvrkWn26QchwQ3ZrjUbY1N3LXyhuRmeXXsnCEV/btZUZRMT7d4PvrVvNWwyF2tjQztbCQyQWFpF2XQ12dPLrpHWYWl3Dp2HFMKyxCCIEnJc9s38qqffv4cFUXkaOqfOJpm7ll5ezvaKc1mWBWcSlLJ04ix+cH3yjIHNNdduKCbFJBcuKpI1lkmVBlEgNA6EWI4PsGfJ5ZhobuxvU9ba1qooqgLSPvZuq6arbL4DMMXE/y2+1buWvWBTy7czu/37GdznQKXdMImmYfd9vmRJywaXHp2PE9xmD729t4aMObxG2bva2tfGVGm1qxzSRKTV3H0DRaEnHyA0FumD2FOaVlg/qZDAuMKWC/0bd8SXaBXgTizHuehDARvovBd/FZOMnzmxETIO9ta+UPO3ewav9eNh1uwJMSr9fjCcdhY0M9P3t7I1PravnQhfPxGQb72tv40ZtrlalHTKWM1tXVkXIc/vNvriXX76czpeyjJxcUkhcI4HgeW5sa2d/WRtxJs7+tnYZ4FyWhMOWRCAc62nE9DyFU2UVlTrTHN37UILs4phwCLbP9zBBaCEIfR6ZfZ8V1W0DLQVjvBaP65C/OMmx4ducOgqYy6CgOhWlLJmlOxNnW3IjteZiaRthnsWxiNbqm4dN13qg9wNamRtKOR8AwCBkmdZ2dJGybtOtyOBajKBjikY1v8uP16/iPq6/hyqoJbGtq5OW9e6iI5PCt7R/j4xMfQCD42Gs3kuPzcdOUyexra+MrSy4f5RrIvbNDDngdIDtAH4Owsp3ro5mdLc3saWtlTE6UuJ0mZFk4rktrMoGl6eT5/LQkE/gNg9tnzMSTsK2pkV9v2cT6Q3XkB4JE/T5AKPWJnCjN8QS6Jrh24mTaUgl+sHY1n1i4GEvX+dlbG9CFRtTnJ+bYfGPzh4nZab63+HEMofHAzvv4u3kL+Ld3nWFd/HmC8C9BOm+DW69KLUioOmT/bciWe5CMkvKwIWREBMgHOzt4cN0afLrB9qYm3G7B/8zMVqASI5oQjI/msru1hQ2H6igIBPnemtV8b/HjCODOl94NgCs9kq7Dj9evZUpBEZeNG89F5RXomkbKcfjZWxvY3tzE31V9h5hn8+Cue/jB4idAwAM772NeWQXlkRzSrsO8snKWjKvqyViPGozpIDXQi1VGCsC6FIypA9qt0MII/1LwLz0LJ5llsJFSsq+9jYrMisrYaJRX9+/F9TzsjGqM7Xl0pVK8un8ft0ybgURyoKOdtOsyNhrlcKyLtlSSkGlyoL0dD0lpOEJFThSjvg5dSJ7fvZOFFZWsqztIyLLQNY2WRKJHBq4yEuWSsWMJmhZ1nR10pVMqazwK6SPVJuMQeI+qEzYvR1jzh3R1RnotSglDywGtLGsBPgQc7OjoMekImhaHY10kHIccyyLpOMRsGyklOT4VBEvpYbsu6w/VURGJYmkGGxvqCRgmnid5u6EeIdS+7hn7XwB8d8d9bKivoyInh85UivJIDg1dXQhA17SMkYiLYaqfD7S3M7lglAfIWr4qX0qvzjTXViN8FyP0ij7JwcFEyjS4+9Uv+pjzfmV3RATIr+zbw0t792DpOm0p1d0uEOgC1UCQeV7CcXh6+1Ycz2NMTpSGWIygaREwDHShln8EUBIM49eTbG9qoqa1hZZEnJZEnPdMnc6b9XVsb26kMhLF8SSG0AgYyuI6x+cjPxCkrrODL1y8ZFTfzIX/GqRTo8ohcFQtk7AQ/jNr9slyfiCEoDAUIm7bhCwLv2GS4/MRt22SvUwCtMyA7Hguadcj6vPTlU4jhGBOaRm7Wpqp6+okZttU5kSo6+zgt9u3crCzA4Bby76JaH0ET34xUy0JAdPk/2y4l4BpgkghUcvHpq4fo5E8ahFBtNDfDukpqJIPCYHbVJMvGuCpRqHgXQgtq34xmOQFAnieGkWf3LqZ1oyCjCYElqYTNE1SjtvTE3A43sWk/AL2d7SjCUFJOEzL3jgJ2yE/EMCVkhsnT+Pjkx6g0r8dgPsmfo8AJgn5cE8dfO+kkkDw7e0fZ0phEZJ2cv2jczJ7NELLRfiPKFZ4zXereKeXsyUMTiZZOjXI2C9AdvdiWcjgXWjm5HN+7KFiRIwaBzs60bW+waihq252DXUhd2sag8pitcQTfHDct/HpOpUBNeN5+NKn8ZB8ft1yKiI5pF0XIQQVkRxeO7CfK8dPYH39Qf5+0v+ga4JK/x4AfnHpNwkZKQDuHfPffHfXfTieN/qaBnoh9CKIfBqZXg/mDNArEdbcIZNik9IFdw/SaUDoUTAmZ12BhoilVRP55TtvoQlBwDS5vnoqTfEYf6rZRdJxKAoGuXTsOAAOx2JcXz2ZiOVj9+YWQNUgTisqZlJ+AevrD1IWyaE5kTzmOLomuLC0jEvCX8WnG7Qk7qcx1oWb9ghlaiEPxbq4esLErKEPw2w5VnZB+lXQKpXknJTg7EYmn0UET24gk+XsMaOomKjfR2O8q4/WsON5pBwn0+ejVnJXvPMWy2fN5rYZM/n2G6+Tch18uoGlG1i6zsyiEtpSiWN8ATwkpqZRmBMlaJh0pdNE/X7ClkVnOonnSYpCIZrjccKWj2m9lG2yDD3SiyNjP4XUS4Cuehi8GMR/gYx8CdFtFHSeMSJGjfG5uVw+roqSUJgnt25GSsncsnLqOjspDAXRELxz+BAguHHyVA7FuhiXl4sQ9OnaDpgGKdelI5lESqjPSLX9ZvtW0q7DxxcswtKNzE2i/+ywKyX5/mAf3/jRitCiw8JOVsoUMvZzcHZCapW6xQduhPDfqWWqLIPK3LJybM/jT7t30tqZYNX+feQHAj1yUGOjuWxvbuZfrngXY6NR8gNBUo7Dq/v3UtvRTp5f9QG0p5LcPG0G6w/VcfWEieRYPi7L+QekhLkFteDWMtP8PHawngPxcuJ2mv9asIK06/LjPZ+mLZnkXVUTWTohq6gwXPCa7+7JfuG1AOvUYCsEaCWQXo8M3Jid3A4iAdPko/MX8tttW0i7Hq/s20PY8lEQCLK9ubFHkQKgPBLhkwsXo2sa106azGeefxZDEzTElIqTKyWWplMajvCE/BLvK/smrpT8ZM8n+eziSzB1nbtnzeGRjW/SlkxQGgqzz3H42ryf49MNnm/5R26dPmNUegqcCidztjxnuLuUckbvXgYtBG4bODvAmjs45zHIjIgAecnY8ayvr6MpHkNKiSclhqbxmcUXM6u4hJ+/vZF19QeV3FoizrsnT6E0HOHB9Z+kIpLDLWX/DsDzLV/krYZ6fEZTn4YdmQmJ8/x+FlVU8r23PkFFJIf3lnyDznSKL6y7i28v/BUB0+SBnfdx9+zqUV1eMdyQqdXqItUqj0jOSeUaJkIfHNqTG4UIIbiocgwLyitIuS4ffOapPtNNTQhCptmnM91nGHx03kJer93PxkOHyDNN3jN1GrNLSplXXsGTWzdT39WJzKHPapKd2oylxZkY3sU9Y/6LSTnNYEzja1VXEzDMbOZ4WHP0PTRTaoHbz3OznEuKgiE+PHcBScfm3t88iSZEjyHIBQ8+QNy2mV9e0cck5JIxYymPRGjrZepTEclBE4JFFZWsq68jnSlx+rt5C0jYDk9v3Uzccbhh8lR0TWOyuB+/YaBrqt74ExMXZcfWU2DQV4Oko2RdZbP6vafvaCFS2sdJJ458RsToURIO84kFF/H87p14qAzuu6omMKdUNXV8Yv4ibp46XdnRhiOELQvX85hVXMJbhw9hF6vyi/quLu6cOZs1Bw+Sdl1e2b8XKWFheSWXjB1Lrj9ATomfK8ZX8cq+vXjFEks3yAsEeLDmk5Tn5HDP7EmjU3JmOJNel5GcW3tEci61CqSDlImB+9dnOSN0TSOoafwqM6h2u25965rreKFmN//y8osUBkNcOb6KaUXFhCyLq6L/zFXRvgPAhLx8Pr/4UjpSKSz9XUo9pvZmCsx9NCQrGB/aqZ4XaUAnBc46cmIfUS8eTmUFWdAK/ldlv7xWMGeC3stcSTaDMSF7vQ4hfsPksVvvAI5cr90Z5A319Vz88A/5p8uv4rKx4wmYJr+94+4+z+0dQN8weSpp93JyfD5er93PU1u3YGo6H676Dl7K469dX2de2R6EFwdPTYqy6gzDFGM8x05o1Uq7MMYP+ukMFiMiQAaoyMnhgxfO6/cxIQRl4Qid6VSPBqOuadw1ew5zDjfw+uGv4zN0PrGggqrcPOaXV/LHXTtxPI+gaXLZ2PFMKyrmsU1vs72lmTx/gPdMnU7C9zBhn49Hb1EGl6NbJmoYIzT6t0cUHCtFl2UoSLsutuvhSY8H1qxGSknU7+dwrIsfr1/HXbMuYF7GiXJL02G+vvKxPoOtEIJopnHnr/v3Uey4NDOOe1+5kW8v/BVpVxnLLCquH/w3l6UPsltd6Dj3S63gf5FeDBn7CbgHAROwQYQQgRsH70SzHBcpZZ++HoD8YAAB/Hn3LnY2N/Ox+QtPWGoYME0CpkksneaZ7dv4ZPX/IARU+tWEtjzwfoQ8trcgy+BysusVlKKGjP47tH9JlUP5Lgbpgn8pQi8ZrFMddEZMgHwidjY38fS2rTTFY5nlnTFcVz0Zn2FwQWkZFxyV8S0Ohbn3ggt7vhgtiQTfWfMatuvy0QkP4EnJ97Z+gvdNn8mskqw/+bDHWqQGWm0MJJ9W23wXgzH9vJehGe5IKXmtdj/P7drJxPw89rW1s7+9jbml5Qghehp88pMfZdP2NNOje5kehU9V/w+btj/EzCl/Omaf7xxuoCH2eaI+P7C5Z/tdK2/kt3/zHEIIplX/HNtz8WUc+rKce6TbgEw+B85WEEGkdRnCdylCHDvMCC0E4Y8j7a3gHgCtEGFOE5r8AAAgAElEQVTOPG+bfUYSjbEYj29+h6rcPOJ2Gg2Brglum670sqWU7G1rZWdzU08zXe/J7NEc7OzAk5KjL0NLS/X6TUcSROb9PNvfM0hIaSNTr6pmWZlEGtMR/mWqAb8fNP9leF2VSirSdznCmAb6mEE+68FlxAbITfE4dZ0dJOw0T27dQthSyzhSqu5b23OP64jXTffA+dcD+0g5LmXhCJoQSromFOaPu3Ywv7xiVKtVDCVSOuA1AjpoRccNdIS1QEnO2e8oG04ArRgRePfgnWyWfnnncANPbtlMSSiMLxBkV0sLzYk4+9rbGJ+bB0DQNHE9D9nfIkA/RHw+ajvaAeVk+UrHv/DY5ncIWzaFQdU9/88rXyTpOpSGwrx7ytRRr6l6rpFeG7LrQVWrqJUCaUj+Aem1I4I39fsaISyEdQFwwaCea5bjk3Icfrh+LUnbpiwc4VCXUrZwJbieh65pCCHQhUZdV+cpqU34M30ATx36CgA3l36DQnM/e7tKmRpVSlEp16I2UcIjW/7CJZXjWDpx0ujzFhhkZOIZSL+ummNFFJwdyNheCN+P0CL9vkYrfGJwT3KIGXEBspSSP+zczsv79rDrC8+SdBz23zeVXL+f+i7l4rb64AE0IVg2qfqUzAH2tLXysQkPZKTdlG7jnZX/j+/v+gQdqRT5gQB1XZ0kMzXOISvbYX2u8exdkHhcOX4h1Uw1tLxfVQohTAjepbLIwduV6YBelfWWHwa8tLeGXH+gp1kux/KRtB32trUyLjcXgSDlOvzswGf5x8uuhLZ72dJ0mO/u/NBxs1KLK8ewvr6uR2Jqd0szAdOgLBzm43+9lbquDiblNzOvtJyYneYn69fxyYWLGRMdGgnC4YR0G5DpDeC1gzkFYU4/K4oRMr1e6aPq3at1ftDKwV6N9K467oCbZXixs6WZ9kSCipwoT27djOO5SNS4+8SWTdwxczYAnvQo8J9arXhlTpTicJjGeIzCQBDXk+zsKOLTb7yP31/9XVzpcdNf/p4rqyaQ57N4cW8NMTt90gTXaEDKFDL9jjIK0fMQ5lyEPvDJvvRaIb32iMwigCgCtw6Z3oDwXzbgY5wPjLi1jC2Nh3lxTw2loQiWbvRkFWNpu+c5IvNfVy95mhNRFo7gyb71VnHb5q1Dh/jv11fxmeefJd5wO7L1Hv71lZdYtX/f2XtDWY5Beq0Q/6kqK06vVg143mFk7BGld9wPQgiEkdFiNiZlg+NhQmsi0ZNBAhiXm4dEXV+u5/HElnf49ZZNXDZ2/Cmv1EzIy+fWaTPoSKWoaW1hc2MjhcEQac9jX0cbnoQtjY28eaiesOXD1HRe3rfnHL3DkYOX3ors/DakXwFnC8RXIGMPK3esgeLWgjgqGSF0kEI15GUZEcRtu083R+9yBzejIFXf1UHE7+Mbf32lpznvRGhC8IEL5lIcClHf1cln19zBF9YupygUYnt7Idvbi2hPpXhhTw0Jx6EiksO6uoO0JRPn4B2OHKRMqFWZxOPqek2tRHZ9C+nsHvjOvTZAHAmOuxH+jPlXFhiBGeQ1B2vZ9+XnOKjptGyoBaDiey7m/7mEUDKBJjRumDyFjlSKgsCpOTJdMnYc33njU4QMi/eP+xadqRT3vX4z7alOntq2Bb9h8IFxNrl+P/mBIE9v20J5JMKEvNGtsSudfcjkn5X1pFYCvqvQrGkD3296EyRfVJJtPaoUr6jyicAtmY7aLCOByQWFvNPQQElY1Zbm+v1U5+dzqKuLmrYWOlIpdE3jhT27ids2yyb9lJkFBo9OOfF+F48Zy4VlZbxQU4MrPRpjcQRgajqWrpN0bGo72xnTlUPU76chs7o0WpHSgeSToEVBBLs3KnOO9EaEb+HADqCPAXsLkNfroC4ICVkt8hFDaTiMQGWMb5k2A4AntmyiM5ViQXkFa+sOsPlwI5ahEzBMCoOnNsYWBIN8auFi6jo7+PqrLxMwDLY2NfK5tXeSdFyCpiBu22w63MDiyjEIIehIpcg9xSz1+YhMrVGronrlkY1eJzL+JEQ+jzg6uD0dtHxAZq7RXokJmQSj4rgvG22MuAA57bkcLTeiCS2TkZK4uOxsaeJvJlSfsupERSSHj85dwDM7tvH1TR9id2sL5eEATYkEDy95mul5zURMlWW5vfw/cDyPNQcrRnWALJ39yK4fqBln6mXAA3cvHn+LZg1waUx2cjyjFuToziqMNK6eMJGtTY3Ud3USsXzE7TR+0+TLl17Gx/7wDLGMeciq/ft4cU8NBzs6uGnqNErC4ZM26/gNk3G5uWhCI2anCZkmmhCZhiCBT9ep7+pCCI2FFf03nowavCblfKX3algWAkQEnE0wwABZWPOQ6VXgNYAoANLgNYPvimzj3QhiTE6UOWXlvFl3kKjPjwQWVVQyv7wCTQjeqD3ABvcQac+lJZHgYGcH7370F/gNgyfed+cJ9y2EoDySQ0EgwO62VmXKJSVx20YTOqamruPOtGreO9UE13mLs0nVBvdGi0DiV0j7TUTBybP3x0NoUaS1GNKrQCsETCWzqOUgzAsHdt7nESMuQJ5XVsH2f7+GMTlRVv/9rwGY+B/LaE4kiJg+dre1sL6+nrcbGtje1MgHLpxHZc7Jaw8n5hdw/6KLWbl3D1/8y3M0xLpIOko6qnfzUNp10YXocQUbrcjUCyB8mZmoAHQQeZB8DmnOHJBygDAmIX2XgFZxRJXCfyPIxr66qVmGPcWhMJ9edDGvHdjH3rZWphQWcMmYcWxrbOxjayuRpFyHJ7a8w7bmRvIDAe6YOZuphScObCfl5xMyTdKuS9i0KAgGqe/sRBMCU9OJ2WkMTbBk3Phz/E6HOcICPHUz631tSiWvNuDdazkQ+jgy9WeVSRYhCLwHYV004H1nGTyEENw+YxZTCgpZV3cQgBsmT2FCXh7LfvkzLF3PJKmOcKC9HcvQ+fWWTdw0ZdoJS6WEEFw6djxvNRwCIOzz0ZZKErdtioMhbNeloauLm6ZMy/b6iBDQ2HdbTynowKtjReB6pJ6f8QxoBXM2wr80O6HtxYgLkC8oKeXtw4fYcvgwaddBAoamc9/8RazY9DaLKsbQFI8DkHRcvvbKSt47bTqTCwoZH809sdafEBSHQnhS8tClT+FJ2aOr2pG20ITg3zZ/iDx/gOWzRrn8m3sAUisB0asM4k9gXQTYwABubsZEZSJgvwM4alD36sF/nRqIs4woCoNBbpzSt/Tm5b17uWbCJF7YW4OUahUn6Ti4UpLnD2BqOj/duJ4vXLyEghMs4/oNk/vmL+Kzf3qW5kQcn2FQHAoRMEw67RRXj5nI3bPnUBQceBA4khFaPtKYDO5uSL6mNvpvAFIIa4DlFd3H0AsRwRNnEaWU4B1SdclaPmglWRm+YYahacwvr2B++ZFkRG1Hu1rT65Us0gCE4IKSUi4oLeP12v2ELYtlkyafcP9XVk1gc2MDz2zfRsjziPr8FAV1Uq5LQSDIBy6cy7yybCJEWIuR9maQERCmGgcTj4NsAq9pwHbTQhgI3xLwLTnh86QXV2WU6GCMG1U28CMuQDZ1nXtnX0hNayv7nlIqFdMKi1hfX8dLe2vw6QYHOzsA+O2OrSRsm7V1tVw5fgKLKiq5ZfrME5ZeVBcUcuOUaVi6ju0eadzrfknCtrmoYgyzR7s+slaKsoTt/RXyVI0j5oB2LYQOweXq5mDOAuFDWPNAnzig/WYZPhQEAmw8VE+e30/a9djd0kJZRCkdBE1lEd2eSvJWQz1XVZ347z42N5fvX/duvvPG67Qmk4RME4Fgybhx3DB5atbgJ4MI3oaMrwC5Um2QbRC4GWFUDcrxpUwj449mapUzttLmTAjePqoG3ZFIvj/AlIJCmuIJ2pJJ0p5aSdWEIM8fyEijRli1fx9LJ0xCP0F5lKXr3D/5QZZXdPHPb78fv2Fi6hoFgRAfnjv/lOuaz3uMyRC4EZJ/BE+qen4R6N8T6xzhpTdC4glVqwyghSB4L8IYO3gnMYSMuAAZlEtedUEB1QUFPdvSrouUklSmLALUwr9ALbWWR3JYfbCWmSWlTDvBsq2l69y/6GK++uKn2dx4mG8v/BWmrvMfWz5C0nH42LyFXDJ23KjXRhb+dyGdXSByIPUXwANrIfiWnpWMkBCG0ki1jq+RKr0OJS/l7ge9AmHNQ2i5Az52lnOLlJK3Gg7hZswDLE3HQ1Lb0cH88vIeSThdaKesRFMSjvAvV15NTWsLCdumPJJDUWh0Z42PRrZ+PPNDk/q/UwNd3wPf4JRByNRLYG9WpVNCqIyY/TYyVYrwLx2UczhVpBdD2puUDrtWjrBmjGrToe3NTTiuhyu9nmSRpesUBEKU5aiJralppFwXV0pOZXQsDoX51yuXUtfZQcA0mZCXnzUJ6YUQAuFbgjTnqu+hCCGiRQPOHJ8q0m2C+GOZlZ7Md9/rQMZ/BpEvDatJrZQeuDVIezuIIMKcgdBPrtF9MkZkgNwfAdMkYvkwvrmGrhsrSZYHcTwPD8nheIynt23Bdl0WVVSeMEAGiPr9/MfSa3lq62Z+Was6SKcVBbl12gwm5hec8LWjBWFMRIY+pGa31iJ1EfmXDlqBv3SbkLEfqMaj9CqQHtJ/DYQ/itBHeXZ/mHOws4PDsRiXjR3P/o526jo7MHWdoG4QMNTqg5SStOdSfRoGH4amZQ1BTovBC0aklJB6HbTiI8txQqjf06/DMAqQpduIjP0QvC7UEGkj08UQ+uiorc98Zf9ephQWkbBt8gMB6js7sV0Xn6FjaiocbkkmmJCbd0KDj+7gDnsNAAV8lKLScxvojXSEFlKZ20FG2lsAqXqNutFyVEmlsxfME5fSDBZSesjEr5WuM6rXQiafRwaXo1mzB7Tv8yJAdj2Pl/fWMCYnSn0v9YOjveQl9FzMJyNomtw9ew6xdJqU65CbWUbKcgTNnALmlIw2sTaotYQy9ZeMMUE5YKjlAukgk39EhD4waOdxMqRMI1OrIP2akqkz5yD8V4/qWuqE7SAE+E2TyQWFTC4oZF9bK281HKIpESc3ESBup5lVXMrkIZiQDlaGZrDpfj9D9/7ScExuUVeNgsMImfw9yFTm3pLBrUOmViICNwzdiQ0hXakUfsMg6vdTGomo0sWDtbSmErQk4tieh6Fpx/QaZDn7DN516/Rt6O1GZh4bLji7Ib0uszKVmfTLJCSeQJqTEUfrs58G50WAfDgWoz2VIvm1VchtzVRsa4ap+UgJzffPImz5uGnKVOq7uphTVnbyHfYiZFmEBtJwNgoYElMOe4vqvu3dJJh+FYSNlN7ANCLPElJKZPwJsDcqsxMEYCPdGgh/clQu2X7uyn/C9ST+f7iEtOv2ZJvGRnOJOzbTC4vJDwaYXVzKjOKSE9Yynm2Ozm6d74HyYCKEQJoXgr0BRK8VHtkE5rxBP5/jIaUN9vZMj0UvtAJ1HY/SAHl6UQmraw/09AkETJMphUUkHYdJ+fmUhXOYX15xwoZaGA6TtCynijAmIZPP9dVKlikVhOrDpwZZOlsBs6/pifArZQ63FoxJZ7zv8yJA7q9uKerz055K4npKPupwLMb11ZMZH83WqJ4XiBBqKtt7hptpYjiehvJg4zWA/bay82St2qaVgXsQaW9BWKNTb1LXBDdMnsrT27bg03UMTacrnWJheSX3zpmbrUM8TxH+pUh3jzI/wAAc0AsR/quH+tR6oYEwAI8+JSjS6bvUPMq4YnwVmxsbONjZQcg0STgOutD4zOKLGZsdU89P9DHguwxSr6rgU2bG28Ctw6vUSPhUA+PRSBiQmhbnSYBcGAxSmRPF+n/Xs/MLzwKw4IFbONjZwRcmVVMajjA2Gh3VrjznHb4lmQaaCkj+Vm2zFoB12fCRjfJaMjeXXo6AiafUkrLvcmD0BMifu/KfAHj75S1qw70Pk3QcLvrhHfzm3p8Stiz+9pWvDWlwnM1unVuElgvhTyHTW8A7DHopwpw2rFZShNCR1kLo+Hd13QZuVtqzshn87x3q0xsy8gIBPr3oYtbW1bK3rY3ScJgFFZVnLJ+YvbaGP0II8F8P5myksx0wzlrz29lEmLORyRch8SQqgL9ZyUjqeQP2TTgvAmQhBHfOms3DG94k7aramMOxLq6dVM3SCZOGT8CU5awhrEVIrzXToJdWSWPrEqXrOFzQ8o7zgFTW3KMcv2HwvumzWJ2xoR7tyjCjASH8CN/coT6NEyL8f4Ps+i54cXDrUQo9ixHWoqE+tSEl4vOdVHIxy/mFEAKMscNa1k3oZcjA+zKxgAS3DrQ8RPBvB1z+eV4EyABFwRCfW3wp+16cQcJxqIjkkBfIZozPV4TQlROQ73IIfRy03OHX+KaVQvijStqquwbZdwmICMKaMdRnN6j810v/FziSSe79e3dW+ejHhopsdmt0I1s+nDFGAJztIEy04DeH9qSyZMnSLz29I17GddDZpbwTzoKa1XkTIIOqRc7KsI0uhBaG4VQP1QshBATvQCZfytRGp8GchfBfM6DO2pHMUAe/WYYfdz75GAArblqMtN8BJMKcAfr4oV/9E1nTiixZ+kN6XUj7LXAPgz4moxU+DJKSZ3FsPa8C5CxZeiOlMpkYSkFzIXyIwDKl0QxDP+APM/7rpf87bDLHIw0pPXB2Ip1tIPwI84IRpwF+55OP8cbB2szPvwQEK67pRKZeAd9V4L9m0K8ZreB/s3XoWc4J0m1G2m+D1wbGJIQ5FSEG5jw7FEj3MDL2Q5b/0QA0VlyzGpl+KaMVPrgrueeydyQbIGfpg5Rp1UQmgiM2mJNeGzLxe1XaAEhzBiJww5C67I3Uz3IwyAbGp48Sx38c0m8CPhAeMvkiMngbmjV8ZNP64/gDmaV0V/USJS2VegmsOTDCgv4sw5+hmAB59i6I/zRj22xA+jWkUQ2h9w8rV7puTvQZyeTvwUtn1KRQzXBufUYr/MbBPM1zSjZAzgJkDC2Sf8kYWjhqUArchDCqhvrUTgspbWTsIfBaWP68clVbsWwrMtYA4U+NyNl6lsFn2GcQnV0qONYqj4j5yxQknkaa04fHUucp8Ogtt3PnEw8hvcOsuK6XIoLQAYl09g5aVrz333zY/t2zjEikdCHxBBAEPdy9Ua0ApTcifAuH9PxOh26t8OXPF7OmQcmrLf+jA7KAFde+DYMYIJ/razYbIGcBUBnX9GqWP6/UFVYs60TGfqIMLUZSBsfZzfJn0yAKjly8zxeATPHozbvBnDrEJ5gly8BRsktWX6cr4VPZKacWzOqzdywpwT2AdPZmSjmmIbRIv8890cTieEYsiKuOc2QxrCTgsox8+vsODspkyGsCrwP0XkZlQoDIAecdOMsBsvQ6kfY2kHGEMR70sae8inlywyQN+k00SWBkTMxPlWyAnAXpdYG9luXPl7CmQW1b/nwIpMmKG9eckyUTZU99Dlz4ZOeZPZYlCyPITU8EjiOOL5FoYG9G2ltABBDWhSz/zSpAZWxPB1XK8bRSYcmYBcikD0L3IoyzI/m14pY7kR3fBM+D7sDb61I6xMbZC/RPhNd89/D/m2c5p5zTv7uwAE9ljfsEqjYQ4M5f/wIpu1hxfQEYkxHm9DMuu5DOHmTskYzrnUAmJVjzIXBLvw6zp/u+lVb4Ray45lWWP18MQrBimQZePfhuPqNzPl0G6z6dDZCzgOxS/xeCjP1MBk11qJIJomVK6QsOwMZZep3KvtLeoH435yL8y86eM49WyIpr2kArZ/lzKghfsUxXTRFa4dk5RpYsQ4wwZyGTL4BMHuna9lpAy4fUKqSzKaOc4iJTryK96j5Z31MeUJydkF6tDHmEpoxucJHCgsiXEcLos78TZeZO2EwT+gAy/ouM7nDGETN479A4dslEJqDJcr7R33dwMIItoeWpemN3D6CCSqStvmtaAdLdkDmHekivRRoTIfTB0w6SpXSQ8UcBH+iZ8U56kF4D5kwwp510H6fS9Cb8S5UPAbUghRpfrYsR1lCViqQZqGtef2QD5CwZQwuDFcs8lj+ngt8V1xoZ+ZZZeLFfqmUgBIhcZOAWNPP0/c2ldDL1wQ2Qer17I9I9COG/PzvZZH0cGFPA2QaySG3z6sGYph7LkuUEjBQ3PaGXIIO3K/co2aoyU3oBWIsh8due2mRVG+ixpqEdaOfOJx/jqzMfYnp0L3Dy96lk1/wqOO5BBy+mBPnPwECg3wHXGAeRL4FbC0jQKwe1cUnkfgvZfKsKWszJgIaXWofmmz9o55Dl/EYEb0PGfqE0toUGCJb/eRJ4b7GmQZUsLH8+lxXLCsDZjUy/hfAtOL2DuIdAdoBW3uvAGogAsu3TSK34mHvcmUwMhPAhQvfw6K2HwWsHvQCh5Z/euQ4Akf8zVRbq1KgNehUYU5EyeVYlVLMBchaE8CkZssRvQBYDmeUSkQPOHnAPqCwSgG8pxB9Bhu9H6EWndyBnN8Qf72u9nH5dOeH5rzsrdZNCaBC6G5l6nRXXrlUbrRsQvsUDynyfDlImkKnVYG8ELLAuQlgXDtrxswycsx0YS5lU2VFhgVZ+VlRNhDkdaUxCeIcAC/QKZOIZVEDbuzZZo+/K0OmgmuVU5pgj123qZYj8fc+zzsbEQggThqApWEpPZa9xMn+fMnVPSjyBNMoRevlJ95FlZNH7+9nfd1dKiXTrVYZXLzs7Ta8iBKEPgdeMIAFaKUI8jaQVdZ0plj/ngixixQ2b4HQDZKEfudS7r9nAzWoCzendc04pUNaLYQisp2X6TUi/emSlRysHZxsy8Rwi+J6zdpxsgJwFAGFdghR5rLj+VTUjNBeDMQNa7wF6BbSpPwNppO8yhH7N6R3Ea+O4A7VsG8DZ90UIC+G/HPyXn7V9nipKReNhcPZlJhUS3D1ItxYRvGnQz2co6DZ+ON161/MVL71BDVbSQWVHyyB0zxlnXKTbkMme7ARhIM0FiMA1qjZQC4Nwep674lp1i1/+bAyhV2T+JrefciArrAuQ6dfVefceYIWpAslzgHR2I1s/qhoOc/4/hHXRcZsCzwpunVotC/T6vgoLhK4UBgLZAHk0Ib12ZOx/M26Kmvoe+G9A8110ZvuTDjK1ElKrWP6cD4SPR2++BaGFWXHz9ciOb7L8+WK2tqjnrzkkAZ3lf4jxq9tO82BaCehF4LUe2ZZ4SpVHymZw9xxz7Q90tUx6HeoeYe9QJZi+S869+lX6NRD5KvjvRisBey1SXn/W1KqyAfIIRDr7lZC+2wBGFcK35PSzub3357Uj7U3gtSN8l4NRjRAG0tl7nImnBm7L6R9ILwDfZWq2l3xabfO/VwXf2rlxQJTSUxlwmQS9/NwOtKA6h519oFcCmYyxVqE0L/1LBnUZKsvQI906iP9K1b9rPpXJ8ZrUUmv4U6edSZZeFzL2I6VBqpUCnvpuyVZVs2vORiZfzNTRBtTxZDOIqFK5OF30KvAvQwUKEpKvAC5Yi5Ed/4w05yD8V/eYAww08+6l1kHicXW9IiD5AjK9AcL3ncN6ZJt+s2tSV59jllFBT+Y49qPMmFSeqRVOQ+IppF6mSoFOE5l8juXPvAOEWdOg+nzufPJRNWG99R6kUc2KZTUsf67vGHgmY5UQGgTvQja/T5UyAio73ev7LeNnzSFSeh3Iru+rpJrIAa8Rab+NDC5Hs+aclWP0f+AkiKPDVz2jMe2dtcNkA+QRhmdvh9jDkF4F6OBbgrQ3QvgTCL3ktPcnnX3I2EMsfy6AcrFaqWp4Q/eAVgz+K9VMLfk79YLAzapO8Ey6y/UqMCaoUovuL7G7D7Qo0q5V7+c05GhO+t68FmTsZxB/Qm3wX470X4ewLj13xh3ufkj9VWXYurPuyd+qm6z7ftVEdZ7SnTk+4oz22KjPIsv0BrXs2R2cCgEUqnILrx5Oc/le2u8ohQe9IrNFUwO5vRW8BoReigzeqWqTu1ds9DIeveVuhH5kAD71jnWB8F+FtOYgnQMgitS5awXq2PZapFuj5CAHKMkmZRra71f79VRzMOnVINNIawHCf+WA9n9c9HJ1vXZPKtTJACmEOf3cHDPL8MRTWVZE2ZEyJWEBFjL95mkHyNKLq2wnBcc0wcuMqpII3oaMP8qKa2oAjeXPR0Er4NFb7z2jtyD0UuT/z96bh1lVXvn+n3fvc/YZqgqogXkSEZVBQEHBKY4oCijOxhgTNXPsKYa+fW9uOjd9+9fpTiX9PN3p3LYztDExaIwzOA+ATA4gMgoCMs8UQ41n2nv9/li7To1QpyaoKvb3eXysOsO731Ocd7/rXeu7vl97aF2AbHr7smw24ELoHIg/mH19ew61kvpAg+NaCmbsdl1HiZeR8LhsE2+HIzxBaV71759Spu6EHSgNGQTI3QgiAon5elLDLyFY/cE7qA428TZIOFX/CdVT9b9U1mDl8qTWYEUmI9GbtOmHDGDA3aMNNM4FrZ6/MTbkPYAkl4DVG7wKcA8rDznxBhK5ApyLIHZXuxv2NBMwVzv7a3lKpgRq5mlwETq7XeOfEFYxJ6SRmM7NXvdEdHsbaqkGaXSbNQbwM1OthXeIJt3axqBBZTnYA7Cc8Uj4fKUO+Jza9h4IjVUEdgrxDoE9rF7wMBDcPUh6I8aZ0K5r4B3VjvvGm6qxlU5C5wTIxkSQ2F1Q/Ucwx0AsIAXhiRA6t1OuGaCrIoU2ozdaLyZcp/bUGkgFCMy92W/Ce03pT3NvzICte5yxekHeNzSglQQmtJxs9bEZ5EJhs4rnKnXC3QORa8Dq43OSbY0fkm+A07KiRYvIbG66r5kYuMf0gG53jnKUiVyJZD71m3ojgO/+G5vZodcJAuRuhYRukMn367KTNc+TlUVqLbwy8I5y35t9fd5TvQaBGasgMhnjXA5WPyQ8Tjf70DhMZHKbT2nGxFQiJnIdUvmvWupxt+iT1iBIrUBCYzDO+DaNX/fZDkH13IYNgYl5IGnEuQTTSQGyCY9DotMBV0+4oMoCoWH1sn49E6Gmjk0AACAASURBVLU37ICDXAcTHoOkPmyofyoJ3XDtNnB4rcHAkoaPiQd4DTYjYxwIndXWaTcPrwylWjQOtkO+PFs7A2STp30Dpp9WXUAzUt7BTqNg1cJyLkDs7yHpNSA1mNC5fjaqg3XaA3RtWH19alI9GoKIBsehcW0Yr4/fOJdqKB0oVRCqa8AzxmQt1Z+646xmh2pthc4qfhLv+A/qAthavq4IuHsRkfZXUq1iqPojyCH9vbYxMHJZ22KSHGGsfMj/LpJaB95usEow4fEdTqEMAuRuBQd1qmmcoXTbpvFrQmTFyxtAshllYwyEz8WEOziT4h32s8f1gv3Ei0AGwhdAewNkMs037Rrj8xs7B7pwv45UvwDOVMCAMx4TndV5tI4eikev+RFrFm3I/gzdMJMcOk+/z+m1QEwb6MSD+L0nPWSe6JBhnHFIaqFmh60ibfyTI+BcnjO//WQHGBGBzGdK2wKMn0U1xvhykM2ZHWSym3t7YKx8JHwRpD6qe9CrAslg2tgg1arr2/0w9vWdfp0AXRfGhJHonVD9BzDlQEgpA6FzMU7rA2RViLpBq7CmD3OnR3W9EsM4UzpkzuIdQVIrVOLNHqGKSbV8fWuQX0XtXe8NlWD37xglHedShH9rNKEUhC/BWHnNv6mDYEwEE5kETOq0awQBcjeCMTYSuVrLNqmPAAPRm8A7jIlc3frxrEIkdA5zp+/gvjd0c5073eh4TscoLoiIci0l0Ugux5xEdaYDsjZWP5WOEwuSb+pj0dv0tBluPT2kNTD2QMj/tmYJTKhDdRm7A4LMcR2MCUH8Pj/o3AAmTzewNgaUxkQg75tIchGkV4MVBedOjNNKOahmICJIYh4kF1NrGSupFRC5CqIzVLUiPBrSG3R9YWvmyC7GdJCFu4ndgmD7h3fRe0TsK5geXn0J0HVgOWMQ+2+Q9CqlLYXOU3v1NiojGOcKxPSC5HsgxyF8ESZyDcbq06pxmqvQSWa3NhVKGkwU0huQ1BLI/7aOH50GVb8Gz2gmWSpVMSrSMfu7CQ1DCn8Fx74NuJo5Dk/BxG7qkPFPN4IAuZvBRK5EcLX8I2kgrdmo8HltGy9+lzaySTXgO+JEp2nmq50Q7yhS9ST3vVoJGOZOr0Sis7AiU/yu/kG6+dZSEaK3grcX41zU7msbE0Ji90D1Ez7X04C3B8IXYMJj2z1+y9c3YE6DC1gPws8X/Lj7Zo7rwZgQhMfk1PCVSxnVWPmY2AyIzWjVPFoc29sPySV+975/SBVXA2Znsgb18S8iyQVK8/J5uiZ6Q4cdAo2JYOK3I3KT3zTXO6A5BDjl0GpCK2VMTzSWMcrPby9HvxFExNc9t+vRqwrB24ck38PEbsEKn4sXf1g5x94+Vb6JzMZyOm4PtJxxSN+FGvybWMdoRncRBAFyN4MxlnaVR67wuYx57dpAjNUH8v+Cp+7YrRlPe2CrT7bNQUSQ6qf9TtpCLcmaPlDznC+XMwzi96qzHilljXj7IXIlhDomG2WFRyEF30Mi00AqMaFzAl5hgAAngquBM/XXR+3P7i6wB2gAG52ORDR46CzakDGxTuUwBgjQXVF7qFXzoR0NXfMATBGk10HsFgAs53xwzu8YzvEJYIyt1+1hCALkbgpjnIak/3aNZbXJMvak8A5x3yvHgEI+PAAgamMtRcydtRITGqYuPAWPQuw2zRbZg9okVXcyGKtITUMCdEt058xxW9CZjY71x/7BuN8ypqQfUN8cI8IJeU+NMsQBnz5AgNONkB8DZMiqWoFWTJtpVgvWbOsRBMgBOge1ElaNtB9V3qqq7jfjQAfxFwME6Ck4LTzu0ChVkvCOqwwjgHec+94oxoTW8dQdncvdDxAgQO4wJoQ4l0JyoU+Lsvym3aMQufl0T69HIAiQA3QO7P7MnZ4CY3Hf63q6nTvdVh5UuGO4XQECBGgIEc+XqIqcsKnoj1fPg/R2SG9vYDNrTAzyHkSqnwJ3rxoWEPPdv/a2KqstItqUmFykXfuhUdqYZPfroE8aIEDPgEgCxMNYrXe3M9HrEamC1EpUghGI3qjqM62dh3cESSyEzAbVSo5ciQlPPKMzz0GAHKBTYEwYid0J1U+C9Eab5PZB6Pw2NcmJV60brpRh7CG+9FTH+K0HCNAT4KU2qta3VwbGQSJXYCLXtuxmlfkUr+x+DZJDQ6Hg++Dtx9jv+CXc3a2ei6Q+UDc/09vvrl+r6zf/Lxs4+gUIcKZCvEpVjUmtASOIfTYmdmuraIbGONpoH52mihtWcZvk1dQy+v/5h+tCNfGq/iMSPdZ5DpbdAEGAHKBZiHhIeh2kV6L2lBdinAmtso60nLGI/TfMvfUTXy7nZkz4/FYHtuIeQqp+DTXz9ffIFWAPhbyH23TqDhCgp0Eyu6D6cc382IOU4pR4CxG3ieSSVfwkXtk9alkdnQU1FWSt3/F7EuxBPHXnlwHlLG/9ZDuDXtiQEydcJA2JN3zTBZ+7bPqBtx9JLcX4zUMBApypUBfbJyCz25dMtCCzW/e5/O812ddEUkj6U8hsAtPLl4qsC6SN1UdNSdo6n9QK38Leb/gzEZAoJN9GIlN7lDJFaxAEyAGahdTMg9QS5sw6CBhK521CMhsg/iXdQBu/3i1TxQpToFbUfllG5XJuaOdcXvYln/ymRHsIuLt0s41Oa9fYAQL0BEhqKeDUNef4FtOkliDRaxrIsElmmypWeEeh6hfqVAd4By4CDFb/lblfVwRJr/Y1XsshNBbC5/k213k6H6sIrf0WQGZ7R33kAAG6L9zd4O5s6K5ql/i27RswkcnZh0VSSNXjkNnqHzgzSPI9JH4/ltOydGRjiHtQpRozm1V5wrkKUqtU4hVUgtU46vYpovcJOwiQAwQAQNwDkFqmtrbmqD5oDVHpGHc71LNpFnGRmvn6+uRifTDvAYjfX+fm05pre5VIeq2Wie2heq30Bkh9AKIbudpZempzGQTIAQKAe6DOGrcWJqSufVKdzeSKeEjNcxC5CZJvN3y9uL5BRx0eveZHDMLj8KKNrAEevfIBMPn8bOFPMFZv3WgTr2pZ1kQgtRiqHgd3G2CBPUwDZGeiLyM5svP+BgECdBdIOUhz3F7bd9qr99LUGshs0T04a1dfDYlnkfD/RI48CGhlqBZeepNWcby9elCO3IDljEbcMqTyl4CrsqvuYaj4sWam8cAeodKO4Qs12YVoVeoMRRAgB2gKdx9zZu0FU8aaJccBmDNzLUiS0rd2Y+oHyKlVuilaQ+oyvJkdSGI+Jn5vs8OLux9JrdSTaeg8jDNeLTndfUjlr7jvdQcwzL1hkZZ90kuAdONROkzmLkCAbo/QSD2kUo9/KDWqJVx/g5Pj4B7SrvfY7fpYzfPgHQJqQGjQuAeAe7DehcIglUjVr5D41yD5jm7AtbSp5Hu+gk3Sf+8ezZSZOFiFmMjlnfDhAwToZrD6AaIH2NqKrAiQwdhDGq7BzHo1narfLGfimvH1DunvmU/xDkyC0Gjo9UOo+o3P/x/g84kfx+NBcDcDGbB8ekbqBfAOk1WacneiSlMGwmeDc0WbEl09BUGAHKApGmeiGjzXSF8x9b5md1mhp1WA1HIAJHabWuPWg5f6FKp/z5xZe1Dqxhok9T6S9zWofhHwfD1WgAy4m1DraRuwABfCF4MRcKa295MGCNAjYCKX8f0bngV2U/rKWDURkkqI3ZvtGxDxlAolNSoHlUMvwM/e/iZS8W/MmZUBYyh9Zbw+4e6B1Ap0vfrjSEqv2QCi/8kxyHu0RctoEY9aXdczuXs+QM+GsfshziW6V5pCzdp6RyD1EeLugfRHAHhl9+oBNXwxWIV1A4iACHJ4ZsM1l14JR78FkWvB8g/Gppe2GCTfQKlO9QJeSfuPSe3E9N5AlVpi5+DWKZIC7B5pwBUEyAGaInQ2pa9eAF4lc2bqwimdNxSMaWBpLSLgJWjWXMCIvwlH6r0+A4nndcEa/+Tr84lJLgd3O/e90Y8PD+g173ujgP89McmYPtX+CBYgKkOT91WMc3EnfPgAAbofjFWkfEbvGCReAcKYwscw4VEAiLsHqZ4Lbhm4+5XPGJ4Cdh9t1PP8x0y8QakW7whgKH21sU2u7dvT41MzbPQ+4K93E9XsdXS2313fGyt8zgnnL+IhqeWQXKAZL3sgEp2B5c8/QICeBhObjdhDNckkaYje5LtZ1ttPMzsBVwNfqYTQufq4HITQOU1pUrjaC5R8p65CBJrYcvcqdcJdB+Rp5Uh83jEWEILYA4AH7n5M9OqTNtSLuw+pecXnMkcQ5zJM9Fr1NughCALkAE1gTAjiDyM1z1A6LwkYsHpj4ndjrLi/mX2gm1lmk56Ancm6KAEiV/mW1Y3kZrwjGnTfcqiOujFjDUiG0tc2oou0PqThr1Zf3YzDY7Did530M0hmF5JapuXk8CiMMxVTa34QIEAPwqPX/AiANe99BsDWdR6QZNS1fnAsSaTqvzXrZA/SdZRaAellIBeAFYbozVD126aDW0VoBlgalnhxIXQW4Cm1I/UhurHX6NOSqWcIVAGRk2ufS2oZ1Lyoc7MGaZBc9Rsk/zuY0PC2/WECBOjCMMbGRC6ByCV1D/qSat6hm5WCGLtbKRiZHZBZrVUauwhCZ2Hi92Dyv67UCqkGXB3D6o9WYepBKtSpNnKFNtV65Y1mY9VOylec6gvWgBPOXbxjSOVj/lsHAWlIvotIOSZ+d1v/JF0OQYAcoFkYuxjyvuWfMAVMYbbkKclFmqWq3RStEt8QIIEuNBsTm93MoBGym20DiN/IU8TcG1dz3xslYAxzr90JXhzE76qN3a6n4/DJHb2UxvE7SC7Rm4t7hcrY5H9X5XACBOiB+OmzWwAYOUYD01oeo+n1d+BV1ZNwCkPkUs0YR6/FRL6gh9nm9E6tgRAerY2yVl/AVtULqwQTHg3hMYgVh+QyGmzKptaJbx84kzDOpBPOWytLb+vGXltxMr3ASyHJRZjQA+35swQI0K0g4mqvgHHq+Mmh4b67pYfJ/xZY/esoSKHRkPm07udef68cZO+4Zo6lQoPe2B2Y0BAk72FIzIfwRZBKACGIXKbX8vaCKcDE729WrSo7x9THfrA+0H/E0UA59TESnYapTwfpxggC5AAnhDFGs8P1IJLSzHHqIy3L6iv1BBuZDrEZmPDYZon9xuqNhMdQOu9T5sxCOY3zzwfvIMa5BKz+iFcOlGny2I6DGaQlHDJaIrLyMJHrTzhnEQ8SL/kNCn55yB4I7j4kuTQnTlWAAN0JtdrEm999ByUb+plbdw9YfRCvhibVGAATwdgnNxYwxkD8i0hyIdS8ojJtJg5OLyS9GcsZC84UJHaXlodTy/SN+X8B4dGq1WoNODmfWBL6n1XU6OL5SgcJEKCHQiTtV2OXA2kITwTnUnCu8DOz9WDiQA3GbpjZraVEZRv7wufi5T0MNS/5VaIEWMPA3YLICExoJBIao/cHLFQRqi9ELleqVujslmkS7v4G9Emdn6XjeeUN+dLdGEGAHOCEEBFwtyKpT0AyGGc8YvVHFSUabXgmCnYxVmTKScc0sdsReQbYBV4aUkshPBmwMVYeEn+IubOe0+wvMQgVQ+Ryf/yhGGcSxjqJ7IxU6Mk5tbyuaTArC9cXggA5QBeH+FQk7L6tEuh/7B+uAnc3pc8ZNCt0nVaAfJ3jOq4w2j0P2gPQAoyJINYg3RCdqapvLFVQ/Ts8HoLUEpBDEBqm/0kG0qswzmRMNsN0sgvEVC+5VnUj+4cob7FaFCDA6YZIypdZjGplpRXNpVLzHKRWMmfWYbRpvRwyn2nG2D0App7rpBzx98rmUb93wISGI3gQGgWmBPAguRhxD+kaTr6l1aH4vX7D3wHIbMLkPZjbxENDIb2m0Ydxtfeo8UG3GyMIkM8AiCQBq/UOdsm3tPSZXKpJ4vTlWpbBgegMvxmIOuqDPazFMY2VD/HbKZ2/DdxjkF4F7quIlCPxL+tmnlrhLz6jjQuZzZi8b2Qbjk5+gSjZZr4G8MDuGafaAD0TIgmk+llIrwVsMAaJTsc4V+S06Za+dqmvR75DH7B6gUS02uNcpoEsMb9pvcbPUuUQwIJuqKYP1FaGTD54HiRe1t6C+tkuEwITRVIf5bRmjbGR6HSoftpv4PUlrAyYyFW5zS9AgNMAL7UKal7wG9I91fmO34uxClp8r/oNrPIlUn2/AXuQZnYjN2iW1t2ne5rUgNUrZ9tnSX3qG3zUqsbY6muQ2aRJJJNPVvPcGKAfpDchXvnJE1A+TPhCJLlEq8imyFewOQKRa3P67N0FQYDcgyHufjXxyGwBYyPhSzCxGxu4ap34vWWQaKRxag2C9MdaAkotRZsCbBUbN1bOGqeSXK43lPAoyKz1xy70bzQp5TZ7+/TxxGtABgmdl+NmG0EilwIpDQxAg2yvDBO5Mqf5BQhwOiA18zU4tgbppiVpqHlZKx/h81seILMdyG/UvR4BOQrO5ZjwaCT9CSCY8EQIjcop8NZK0oFmSr554O0CnEYNfAAhkKN4ibd0XvYAjDMFY/dr9hqWMwmPuK9icQjS76tusn3iRqEAAU4n1N79aTWssqKaiXW3IdVPQ97XWl5bXllTv4EZa0BSlL6ZxhT8tfoFuPvBHo5xLjqpJnED7WQ5iEqj1oMxKAXiWNPnfKk3Sa1FXO1lIHyR0iWb4SIbKx/yv4UkFukebuWBczfGOXGGuzsiCJB7KMSrRCp/BWSYM0sl1UrnLUXkKMS/0vLidXerM55x6qgKiReBFERmQPw+Pe16RyE0EhOddsLNrwkyn/kBtlVv7NdV65EMTWXjLHAPIulPEXcXmD6Y8JgT3ixM9EYEIWuVSRLi92BCJ5aZChDgdEKkRg+f1oC6YNOEweQjqWWYEwTItQoWP1/wY7D7+30BjXVOLYxdgDElmPC5rZ6bMQaxByu3sIHpSIVmzKRcVSdqM0ciaj7gHYLMbg2k3e3Ktcz7+glVKSxnNDijgbrNPkCArgpJfeyvUT/hZAxzZhwAdvGzhbepdfTJULuWmm1aL8FYRZgcnGKzayX9Yd3vUgmh8xq+UATwfMWpRSAFdfeammeBBOqw598/0usQZyrEbm82XjBWISY+G5it10x9jKkvEdkDEATIPRSSXsOcmapPuGapSrrMmQXwDj9bOB1aysyYSNM4FZS5YOVhOReBc1HbJmcVo81E9U+monJTFGl5KfmmPhy7XZvzvH3qR59coq+OTof8rzfLcTQmjInNQqLXg1etpalW0ksCBDilkJRy+KzGmR1Hg88coBJOq3x6Qm8gpZSl6LQmhj2thnMlVP8eNQbJ1+BYqjGxLwFGZeTcCiDkyz1KVu4RgJq3gQxiDVA1mRMc0Jvd7GnIrwwQoEtAygHdV+bMUD5u7V77/et+xs8X/vPJ328PpvS1L0Bmi783Q+m8AWDiGGds++ZmYqp64e72XftcPbSGJ2pvgrtbVWxw0KRUBrB8uoe/L9csVHplZGo9qkZD9PT1GgTIPRXeQZo20hkNcL2KlgPk0NnKM5aMlj0BItOA5AmzWbnCRC5D0ms0UE68Bgg4U5S6YY+C6sfRRkBbuc3uEbAiyqHKdtd6SPVzJ91sjYmBnXuTU4AApw2mF9h9/Q7w+lnaYxC+pNm3PHrNj1izaEP2Z4CfvfV1pWq4u5XLG52JiVzR5mmJdwSpfl5pWpIEd7uu29AoTPT6Otv5gkeR1BqVp8qs183YapxBC/lGCEmgZZpXgABdGqHR2isjzUiH5mCWYYyBvPuRmjeA5wHx19WMVjXnNlSxEMh7CJILtTfALfMbfodA9GZM5HKMcZC8hyDzGXLsUdQ+vkwHS7xYt3b96q4c/Q6m5KWc59OTEATIPRXWUD2N2kOyp9vS+eO0BGsXt/BmVOYl72Gk+knNbhnAGEz8oTZ7s4tkkORSSL2nWS53DzgTfdmoqZjojbp4re8gyQvUYjM0EsxG1W1Mr62jZCQXajeuVDQs+wYI0A1hjIHY7UjVb7XqQUSlE+1+GOfkyjANxgmNgPxH0ANm6KRapi1BJO3P57j2IlgDdSM1MUzeVxpkpY1ViFT9Wn/JrNf/J14my3XMUqnmIcm3MP1XNnvNJpJVPSQTFaDnwTjjkfQKyHxO6bwhQJo5M5Ng9ePnC/4htzFMDBOfzc/emwlI+yudUg6JV5WqZZVo9tg7CLFbsJxx9a4bxiv/idKgQqOzHiPNIrPjhE/19PUaBMg9FMYZh6QWKj1BPEDA2w3Olap1mMsY9gDI/x7Ev4TKpA1ol9+6JF6F5Hu+wYgF4cv0ify/wrL71103NLwBT9Gr3HeCCUJT970AAbonTOhsyPcbc7zDyu13Jp4wm/TzBT9uyEGuHccYtHTaTmQ+1wbc+uVVU6L3lMxmCOuGK5mdyNGHtOO+PuVJMn65tn6FJ9hyAvQMaBLpISS1Vo06rN5gu031gXMaq/3rwhT9Aan4RyBSl8E2UUh9AKmV0E8rwSI1mqhyd4IpgPzvQqWr1Z3INapWA5D4s/YYhce0e27dFcHdqofCmAjkfRNJLqb0lU90oTiXtbrL1Bir4abXRohXARX/jHIqffH/9DLNTkev1wYjQLxyJPWRlnStfpjIVM0UZ7YoPyrxor43chmEzm9zNjtAgK4IY/fFxKaf7mkopPJETyBehfa9Z7Yhlf/ly1CVqJxcolobePP/UuXhcNVGmhBQo2f1FjJOPS0TFaBnwhgHE5kEEXWK/PnCWadxNhmlUzSRabPQihJ4ZV+C9GoNjGtpFce+p2s9PNrnLe9TOqZ3TN+XXnHGrtcgQO7BMFY+JnYTxG463VPRk6jQtPHPWL6jD76/+/9THmZqKeAhqS9A/EFtEkr5ATVoNrs5O+sAAc4g1M8cdzgsv6ojAokX9OfobQAYe6BumulPwOqjpVrQCpGxIDoNK/oFJHIJeMeQzDbAzjbzBAgQoKMR0mqPd1ybdGue14d9yVRVt6hGG20jdVYBJqL0yT6/8CkZhwFfxu4MX69BgBzg1MAqhOhVYPqpFTTUKVT4bl6SXKwnWXsQyl20VSIqOQ+T/z111Mt7QB+zh7WLXxkgwJmIVnEF7cHgXKjl2VqSordb3e2ypkAeTbeRkDbzgWqu2wMwxU+1/voBAgTIGcYYJDoDqn4DbhJdm/XIxZlPtWcnC0erPrHbtUfAO6TW8HZfHa/4yTN+vQYBcoBTAmMVIM7l2lxXK/HmHQQrD+NoeYr0Rl/GrZ4+cvJtvxmvCmOXtKwtGSBAgGahGd/c5Zi0cfBOpPopVZMBdeJKvoPUvFDXjCc1NNxsK1V1pgtD3DIktVyrV/ZgjHMpJofm5QABujKs8Eik4BF1ubNLwD4Lap7SngGrry/FCLoH+xABpEs3u4ukkdRqyKwGQhjnYgiNbpWtd1sQBMgBThlM9CbE6qNe7VIF4TGYyDTwyvESC3wpqYRqOGYhvnVtBzQddRLE3ec3VpVD6DyMc4E2cAQI0M1hTAgx9axjTS9tvnP31z0mVVqmjc7WYFmOQOTLzY7XFTJR4u5DKv8T1X6Ng7sDSX0I+d+uo47QNeYaIEBrYezBmPg92d+9mrm6pzqTIFmpMq8mrr0/VoH2BIXOAntok7G6whoQcZHqP0J6vXKn8ZD0OrW1jt3Uqes1CJADnDIYY6smaz1dVi+1GqrnQmqJGiWY/DruIwacS8C5tMsGnF5qrT//RYAFzmVI+kPIe7jLzjnAmQmrjSXT+u8zhf+OlP+LykjVUqXCUzSz425SulTsXkx4/AnHE69aXfXSq/2N+zJMeFynZ4Oy10+8ofzLrBZ8L3API4k3MHlfrX0V4pZphcsEms0BujGiN6sijVUChLQRz/SGzCcQOh+cib72cvPrT0QgswlJLdUkUHgMxrkMYxU0+/oOR+ZzSG/wTUz8OUpvSC5CInUSmOIdRxNqvTvsXhIEyAFOG0RS2t1uFQFhte10JkPqE7DPhVAJhKee1G5TJKnZ2/QaMFHVjA2df0o2W53/89qkVCurZQ2GzOdIag0mMrnudZIAkx/wpgOcMoh42qAjGbAHtuvAVhtQS3o9YIGxlU5RC2OBczkmdvNJv+MiSdVLdveAKQQqoPr3SPSGnGx1OwSZTfUO4T6sIqj6FV7i7SwNRcpmAQYp+AEmekOHSHEFCHAyiHdcDT6s3jnLsbaIzGdglFecXbPigbcHev0IqwU6lKSWQs1LvgW1A4kFSnfI/y7GyuuYOZ7s+u52tB+p3p7uy83KkYezVC855IsRxO+H+J0Yu1+7rx2s+AA5Q7xylX6xijpGXs07DCQgsaCOc5z6EMiAcwEm7+SmJCIptZ/OfA6p5YDoBh6djole1/75tWX+iRd0/uFxiDNes1XJ9wEXrCIkNhsrfG7nz62bwHVdEpUJIvEIoXBwO+ooiHsQqf4DuIcAAyaCxO5ufxnSxKlrf68PD+y+LR4AJbXO5/0OqfdgHiTfRZyppyYrZXqjbn6xuk7/6HQg5Hf518IBROdmwqcugO/iSFQnERFieUFmvaMg4iKJVyC5zHe89RBnEiY2u/2VSFPoJ2jqB7NJsIpaDo4lAYk39ECZnUceuHuQ9MeYyJXtm1suMAVk7zm16zV7OK8fNPvz8/YjVb+BgkcbmBm1BT1uRxIRElUJwpFwsOF2EEQyal9b8VN9IHoV4lyBiU5vl3EIJuqbmDS5IthDWgzCJb3RLx0NJuvYZQ2E5NuIc8kp2Gwjzc9fBEwBUvOqStOlPgCMWnVXPY4U/AXGHtTJc+v62LB8E4ueWU7l8SoiMYcpMyZx8fSJWFaQZW8rRNKIVw1Vj/tOfP73TGqg5knEfrR9zWj2cKUmeAfrslJyXN31wmNbfr+7Tdd9fZgQiPGbdk9BgBy5SrVfjZOVwKLmJe3ej94I1QeBUL1sWwqSi5HINWd0Frm8rIK3/vAe29ZsRwRGjB/G9fd/gT59e5/uqXUr1Df3ERGQVxnBNAAAIABJREFUaiS1ApKLwRqk2VHxILUCsfpgoje074KRq6HmTyBh/c5LWmUZY3e2/F6vDMg07QEyedozdAoCZBMeiyReg5o/1zUL1/wJCEGfX8LRb+j86le03D0NzIzaih612ret28m7f1zMkf3HCEfDTL5xIpfOnIQdakcQdwYju3iTy1SXOOvO0w+SCxCrCBO5tM3jG6sICZ0HWH4GGOVLeWXapdoS3G2QXKrUjGwG92UgBfGHOn+ztYogNEpvaMll+lh0hmaWw2Og+gnNiNduwsm3gDSSvBgTv/2Ew54J2LZ2B/P+80369O9N/2F9SSXTLHhqCVbI4uIbJp7u6XU7iLhIcoHqELtlKrMWnlT3AhMD7yiSXouxr27zdYyxIO+rSPWzukEC2P0xsbtyqypZxbpBN5x8Xf/BKYBxpiBWEcixevMq0kyVdxSitzQK4sMgSQ2Uz9AAOZPO8OefvczxsgpKhqiS0K5P9/JM6cs8+I/3EnbaaZF8BkIyO1QNxt2vDWh2/7oDrbFUkzi5DIlMaxdl0DiTEamC5DvgZfQ7HL0Z41ySw5vz/fXp+a6YtUiqKsYpgLEKIO9hJLmw3qMRrViRaLaepW5EVe2+do9Z7fu2HeDZf51Hfu88vvTIS4gIf/i3BF7G5Qt3tj2IO1Mhmc+Rmpcgsx8yazXoq91QEi+h1tP9oB0BMoCJ341UPwPJRVotkWqI34sJNe2obfrm3jRb7hXAirdrXrnAGAPxe1QGi4V6XamA2F0YqxCR5m5qVp2pQjeGiHBgxyEO7y4jmh9l+Jghrdokl89fSV6fvGyZ1omEKRlcxAfzV3LRdRdg28GhtjWQ5DuQeEtLoTbgbmPOTO36Ln31Iv9VlpZa2wlj9cHkf00pV2TAFOa8gRtnogby3jF//XqaFQqdp/eTUwBjLEzfV9Ry98hXgBBW8VwAvOrnIb0CzIC6N0gF2P0aqet0P9RU1rBjw24yaZfBowZS2C/3zO+ujXs4sv8o/YfX/RsVDyrkwI5D7Fi/m3MuHNEZU+5RqM0cr1m0AYDvX/NDwKL0lQuBjZDZB9iQrcSE/PXqka2QtgHGGEz0aiRymTbZWQU5Uw+M1RtxJkJqlTbmYvlaypJbEquDYELDoO8C5MgX9feip1X3ObNbs9hWfYt7PyboAAfgLhUgHzt0nN2b9mLZFsPHDiWvV+5Bzsdvr+Gerz9HOBKi/6DtADzwV/N5+lcOU2dOwokGigK5Qlyfw0OcObccBolS+myy0avMSaxoc4ex8jH5DyFxXyLK6psz58o4E5DodUBE9ZJBLajtoVqqOgXQ0+3XITZbb2Z2f4yJaGOecTSjnHhFX1xrjBI655TMrbPgui6v//e7rF+6SR8w0Lu4gLvn3Eph/z45jXHswHGieQ1v0uFImKMHjpNJZbBjQYCcK8SnAGAN0GoKvfz/UxcQizBn1k6w3+XnCxtaWYt7UEu83hEInYtxxuek3GCaWNq2DGMVQt7X/MzZPr+570JMdNYpU7HIzsXEEBrea0zkKpWQ8vYD+T4n2YXoPad8fh2JHRt28cIvXiNVo9l7Y8FVd1/GJdMvzOn9lceqlQbTCCJC1fHqZt4RIBdsXZtgzsy14MUAm9IX9kFopFYwvDIIn9eExqiN6Wv9ZtM+GGcSxh7Q/AXqwRinTT4CJnYbQtTvDxKwiyF6r5qKnEIYYyGE/Z/972LWzGiFf+AGpBzCE5uVrWstukyAvPKt1bz71BJeHKmB2B2Px7nlOzdyzsTcTqZle49iTWjIXTQWeK5HTWUiCJBbAUl9wJyZu8E4rFlaDtjMufMcSp/dqhIxsds169MM51C8ClWVcHeog1Z4ck6cx7Z07Opm+zBS/WfNZIvoBh+745RuZsYYzTA1eMxBojdBzbOo3qqlAYHV65SevDsDGz/YzNr3PmXAiP5Ylv6dfx3Zy5/m/pF3/vo7Of3th54/mC0fb6N4UGH2sWtv+hWpVJrf/F2MSMzhomnjmXD12CCb3BKkWpUqLN085szcCFLAmmVJwGXOzSspnddPKQSNsqBeejNU/do/7IYhtUoNNPK+jumkKowJDYP8v9RMlAljTmNmtnHTorGLoeARJLlc+xvsczCRyzH24NM0w/YjlUzz0i/fIBqPUOQfYDNpl0VPL2X46CH0H95yqbxkcBGCICLZ9e15HscOHee9Z5ez+Pn3OXv8cC6dNTnnQ/KZhlpb+Eev+RFbV30GGKrKXdYsOe6/wmLObJvS+Qd97f84JnpzgzFEEkjFryGzUQMcE0ISi5G8r2A5oztl3sZEMPHZSGy6TzMqOG2HxSbr1RiI3YXY50L6I0AgfBPGmdghc+wSAfLhPWW8M3cJxQMLcaJHAMjvncf8x97kW//6VaLxlssBQ88fxNP/dTv9hpYw7ZbfAPDC77/IoV27+d0PnyYcDXPhtRcw+cYJAV+qJbgHgcaNUgZwlT/o7gUrHxO5vsErxDuCVPxSn09/DBgkegPkfQMTGkJnwITOgoJHlTtowm3KanUWrMgUxCpEwqPBPQbh83Wz7UJzbAvWLt5IQWF+NjgGCDk2qZokFUcr6VXUMvf70lmT2PrJNsr2HiGvTx6Vx6qyzXqRWAQ34/Lm7xZxaFcZN371ms78ON0KIil1yUq9D3jKM3YuBytPKzC1waaJokoNsHVtmjmzYc2Sw/z02ffZ/O47jLp2CSIuVP5KLWiz/EILvAokvBIT7bwGHGMMXdW5y1hFmNiM0z2NDsPeLftJVifp07fu7x0K2xjbYusn23IKkAeM6Me5k89m4wdb6N23FwbD1tXbqSqvZsioQURiDps+3MLW1Tv4yv+5m17Fp0gjtxtAMluQxNvKNbYH+4oSFg3c7GphIuBMAHsYxrmwyV7x/av/B9/6+/cYOdaD0HCfTlgINX9Gwv+rU5tIjYk2bbDtAlB/hYsgclHLL24lukSA/PmaHbx8TpJw9Ag7wnpTf2rAcdKFKWZ+tjenLPJF141n/ZJNHNpdhucKnuux6t219BtazAevfgxAxZFKDuw4yK3fvalbl8s6El5qIyTf1EYyazBEb4DQ2ZTO2wr2IObMWANA6byzINNL+T6hEVrWadQEJ9UvQ+p95twW5Vs/TukizuxEauZhCr7daZ/BGEvLPl0QJnwupsfJuklWXefxgoMA7AinIAwPvzmPUNjmqTvuOcn7oWRwMff//V189Poq9ny2j7u/9iyDhunheEb+EwC88eJDrHlvA1NmXNTpnfLiVQLeac2OtAQRQarnakOPVQKE1bo9sxUi06HmGTB5lM4fBXKcOTPTKqd2gk1TMruZM2sLEKP0Jb/CJmnVR02vhE4MkAOcWpzoK+15zbc4NX2/YeY3b2D4mKGsXrQBN+PixMKMmjSWaFyDpuJBRRzcdZhPFqzr9L4f1ZavQrXlu27Cy0tvgqrfquqD6QXuXkpfBOL/ExKvMGfGOjQMEyBD6Vtfw4pefZIBD/sqSaE6+TOvDDK2PpcD1SJA7ugSAXJHoHdJL770wzv56LVVvPLnB0jWJBk4ooxzLhzBjg17ABhwVj8+W7mNQ7vL6De09VycXKEC/Yf9jGZhy284TfBSn0L148yZdRCwKZ0fh6rfQOxesHr5JgMuINqgl/8QVj0XvPoQEUjMB3cP3/qxYeRYv4M0vUo1WCUVOMv1EIy9/Hxe+dVb5PdpKhIfCudOhygZVMRND6leddmnTzd53rIsLMvi6IHjnRYgi3cMqXlexfQFsIdB/PacOH2nHO5uSH/a0FHKHgzuTox1HeR9HUn5KhbhyXzrxwuBrYy6dgle2f1sXb2PkWOqgCp1xsv/tr/Z1tcSDYOX1mx0gB6BQSP7E4461FQmiOVrMPt4/gFSZ6e5vxXNdaFwiAuvvYALr72Aw3uP8LsfPp0NjmuR1yvO7s37OnT+9SEiSGoJJN4GUkAEiV6PcS7vmgfbxOsaGNdmgk2hJo5TSzD53wbrB6q2YEJgSjCRq5od5tFrfsS3fvg29/9NNSPHVYPA1k82MHKcBdZIX3ax62V3uzu6RIB89vjh3PJMhOKBhTxZrFmkL+7vTXVFNUPOzb3ZqrBfb274ytUALHnhA/79u7/h8zU7OLBDVQPe+v0iUok0sx+Z3mkBsmS2qSqDdxQQJHQOJn4XxuqCvKzkm7p4jf7NsXr7i3cZJv/bSHIxpa98qo87V2LCY048lncYJMnW9YbK43UPb11vMXLicdrThRuga2HM1HPZvm4Xn77/Gb53Ea+MCdF3aEmLmeMTYee+n1B59C9xomHeevlrgG6GXsaloCh3+a9UMs2G5Zv4dPlmwtEQE68ex8iJZzW7eYq4ajTjHVbVAmPAO1BPZL6LqRZ4ZYBpJh1oIe4BrOjVmPCo7KMjJzx/ksGEOTc8x5rlYf35Vm3eKn3RAlwIdQ6fsSMg3jHNmmMgNBJjddzhqS1W3F0dTtThlu/cyIu/eI3fFx4GYJ8j4MCNr/+JMX37tXrd5vWOYyyDm3EbyKjWVCYYNal1ihZ7t+5n1TtrOXaonBHjhjLh6rHk9W7eoU1SH6lmtTXA1/RNQs2LCDFMZFKz7zldEPF8OmKjGMb0AncXxurFzxf9ooUxXI0lxGXQ8GO4g91GL0Az6XZR14wxUG12Mlu1ec7qp/SRDnKU7ez12iUC5JLBxVx33xW8+9QSUnkpACqPV3Hrd6fnxD9uDsWDiurkPnyIfptaxY+qOl7FyrfWsOmjrcQKokyaNoHzLzmn+Q3XO4pU/TcQ9dUfhNL5YaTq95D/SJeyGRYR8PYxZ+YhvxEPpVOIUDq/BmMVYmK3QOyWk4xRo05dVj7a3TqAx34UZs0ym58+u4X83vDY359F6Ssj2mco0kkQEXB3IZmtmu0Pj+k4e88eDDtkM/Ob05g0bTyHdpURK4iy8vOPGnCSW4vzLj6Hsg0W6VQGzxM81+XwniOMumgExQNzq8K4GZcX/v1Vtq/dSX5hPp7rseXj+Vx6yySuuuuyZt6wrY4XWAtTrC5RqY2YSG4d/qcMVh+0mtMo64tgGnWne2X3Zy2TdRPxGDl1DlT+i26qofOAsnrv8DdeSSi38VQ4ZLUBXnIlJJ4la9BjbCR2F5bT9n8rvRfuRdKf6yZuOl8i8lRjxLhhfKP0yyx47k+IB/uqjrRrvFhelMk3TGD5yyspGVxEOBKi4oiqGk289oKcx9m0Ygsv//INwpEwkZjD0pc+Yu3iT/nS/76z2QoVyXeVXpTV5I+AKYLkAuhiAbIxFmL1zVJBspCqhrJkJ4CX3gQ1z0HNfEqfQSs7QE2VRSwPRo4fhtLdQhC7q3M+RDsh3jGk6rea4a4Nx0LnQd797aooi1eJpDf5cpHRBs2jHYkuESADTJo2gZETz+KmTXuxQjbDxwxplcxbY4ycMJxpD1xFeVklH7+tPNoJV43lrHHDcmpKALXUnPuTFzh24Dir3lmLiLB7017K7pjKFbObimxLah1zZm4HE8l2ps6ZZUB28LMFuyE0rM2fp6NhjEGsAcD+Rs+4LUqkaZlrKSReU5tlgLxvQmgkpS/DnFuOkN8bRo71KH3Z6ZKLV0R8a8/3ILVE447o1UjsXixnfDvGTaidrrcHrH6Y8AUdY8vdxWCMYdDIAQwaqVSEP4wdyqYVW3nlV2/Ru28vxl52Xqu62eMFMWqGPcvCPy3l0O4dhMI2k2+cyBW3XZLzjW/7+l3sWLeTASP6Zd+TX5jHh6+uYuI14+hd0qgpzKsCmhvbNDSR6Cqwh0HoLMjs8DWDDcghdYALtcBz946q2U/0LtSpK0HpSw5zbukLUkHpyyWopnEEYrOxuiCnX7yjGhybIqi1yJWkNiiFRrap+TV7Hyj/J/8BzbB6h2/HKjlZBr77Ia9XnJcffBCACY/9gopUiopUiiP7jjH7iSd47v77W6UY89IvX6fiSCXxXjESBxIMHjmAq++9nJJBuSUZXNflnT8upldxQZb6kdc7zoGdh/hkwTquuG1Kg9ercdWxhhrVoI2p0kW15aPToPpJ8IwevKQK5DhE7jjp28TdD1W/85VnGgaSsTwbTUgN12a/0EhM9PpmxzndkJp5Kh9p+UkIEchsRJLLMdHm6SQtjpnZiRy5D9VQ1/Uqh29ErL5YxX/soJkrukyADNCnb+8s1zCdSrN60To+fX8zTtRhwtVjOXv88Jw3SyfqcM/fzmbxc+8Dgh2ymXDNWC675eKcx9j44WaO7j/GgLP6Ydma/e0/vC8fzF/JhdeOaxrAy3Ga33Dpmpy+yI2Uzttbx0Ged5ZmUKLTTv6+zGd+maueP3tmA4TO9puCanjsR6MpndcfIlMwzoTO/iSth7tTg2NrIODoP5vp43cDj2pTeV28CqTqv1QFJLkUECR2M+R9E2OfGteh04FEdZI//fRFDmw/RDQeIZVM8+Frq7jze7MYdn7u8ljFAwu5469nkklnMJZptbzbns37CDnhBuv7nSffI5VIc9tf3dw0QLb7oyejei5RIoCXm1HNKYYxFsQfQBJvqJmFCDjjMdGbmmRjrOIns+VHU/Rb5Pg/qItdbSXHRLVxiHJdszEly5jwuV2Tfw1+mdarC45BA3rP1efakkV2t+l9oPbvV5vl8g726L4JN1OnoFBdUUPl8Spe+8073Pz163O2ejfG0Ku4gEd+8RBuxm21OlTFkUqqy2ua0B0L+uTz2Pee4IV/fzUrjVZ7PbHPVtqCqReEy7Euqy1vwuOR+Jcg8Ya6vVp9IdayJJukVug9ycqvs1CueV5l1kqe1T3GK8PYAyE0qks2KookIb1B44RaGKM87NQKaEOALOIh1U+jG3a9telV+PezjkWXCpBr4WZcnv83LZW+MtaDGuHmn3/OFbdd0uRUeTL0Ki5gxjemcdPXrlM3mVam4Hdv2svHb68hFA5leczv/HExqWSae/721iYBsgmdTem8AWANVvFvoHT+GJCDHeLq0tGwnNF4PEjpq7UqFr0gcidW+LyTvk9Sy3xr6FCdxXPqA13Q+d+n9O2dIFUaZNjDumTzhGQ2QnKJboxZm+pX9QYUvx9a+Bs0O2ZyAbiH/UNCrVFDEknMx+Q92IGz73gc3HWYLR9/jud5jJwwokEWtiWsWbSeA9sOMmBE3Y2w8lgVbzy+gId/ch+WZeF5Xs5rMBRu222poDgfN6NUgTefWFjvGclmqOrD2AMQ5xL9Lps+ZDPHodFgd01nMGPlYeK3IzIbkJNSl2p5eeIdRxU6Gv1dTZTSV87HKvibzptwF4ekNwDhhkEIgDNVmyJDZ5+2uZ0Mieokm1du5fCeI/QdWsKoi0YQieVGR6wqr+bBTxzmnW9hjOHBZD9EhPXLNnHBF8YwfPQQ5f97HrZtZx3g6uv4Qp0j3Jzrftzg+VwRzYtiTEMe85tPLCSdyhDLa/6zmOh0TUJ4B5W24JtVmcgNrbr2qYIxRt0jwxNQPfxQbvdV7yjQ/OHMiItxJnbkNLsPvIP6t6mtSteu18jVnbJWOy1ALtt3lDWL1nNk31GGnDeYcVecnzNlYtu6nWxft4sBI/phhzQw7T+smPfnr2T8VWPoVVRAVXk1nuuR3yevxS9crifixigaWNhEBkd8DmBec/yo0LnKr8lsBMmgEiz7ITq9y2rfWs5ocEa3jsPjVdJsplxEbVy7GnezWYROmOynrXzp9Gr/4GDqgu7kYpA0IukuecoH36Rn7hKMpQHsspdWcOktk7nitik5fSc+W/k5BY20j/P75HFw52H2bt3PmkUb+PT9z7Bsm/FXjeHy2ZecsLeg/sbcGmTSGcr2HuG9Z5djLIuaihr2PKJNpYP/YwP/+rXHGvx7127mJjYbsUdA+gNVbHGuVQnDLsiZr49W9TOYAr8Bt9LvF/DhHe+yXONmERqph/Ca5wCjQa0kdb2GRrZxUKvhfaA2UHb30lQLvmvg+OFynv7nFygvqyQUDpFOpyns34d7/8dsCgpbpnPt33Ywe2CthTGGUDjE9nU7OXbwOMtfXkF5WQWDRg4gWZ0iEj9xJr2t/M8DOw5RcbSCDcs3cfxQOZF4hIM7D2ef37Nlf5PgXE1m/gJJLgZ3j2ZPI5d33aqHD/37tOL+HxoF6XVAvf6L6EytUneTaqQxESQ8BqoeI3sIFQE5CpG26oxbNOjDqF2vXhmdEc52SoC8e/M+nvnpS7z/ykosy2LStPF88u5a7vvBHTkt4D2b9zHvvDThyKGsLvLvC8tIx9PcsG4nn638nO1rdyICA0b05cYHrz2hKkVNZQ2J6hS9ivNbtekePXCUTSu2EI6EcOIRCvv3JhwJM+GqsZx3yTnN+tgbE4K8LyOpNZS+vhqIqmtaaFTTC3QxtOoGFx6n2RV7cL0T3DTNxprO1avtKJjwWMS5Ukteifn6YOR63Szt4W0cNYrWaBs2UGk2uWtutuVlFSx4aglFAwsJOyHefGKhcv3Qxrlc1F7iBTGO7mvI2fU8D9fzmPefb1J1vJriQUWI57HyzTUc3l3G3XNubfCdy6QzfOuiv6XiSCWTb5jA2ROGc9Vdl1IyuGUubLImyb888Au2rNqOm/FwM+mmLzrB17szRea7CoyxkOitUP07cKt9LmQFWAWYSDPNi10UxipEondCcpEuM3e336B0d5sTECY8DkkuBEnXVX28crAKtBLUBbH4ufepOl5N/+F9s5WSideOY9lLH+VkquNEwyDwYEVD90/P89i9eR/LX15B0YBCVi9azx9LjpKe4jD4Pzbw6DU/4ucLfpwNVh+Z8nccO1jOgLP6UVCUzycL1jHh6rFN9pLGQS7Agj8t5Ykf/Qkv4/HJ7H64qd4M/83mnD6/sQdg4l2vr6UjYZyJSOp9/zveG0iBVEPsjpxs4LsKTGyWqgJJSg80AKHRmEgbdbKtvlqN945oQzVoYkOqMU43MAoREd7+wyIiMQcnojec/sP7cnDnYVa8+QnX3NO8jm59aBDdVMBcRFj0zHLSybRSL4DbPy/nmdKXePif7iOWX8cbTdYkeXfuEtYv2wQC+YVxpj1wNSMnnNXi9cv2HeUf7voZRw8cY/Wt/RERRv7uMEPOH8yF141rviPehzEOJjIZIpNbvE53hXEuQdKr/C98BtWGq8bE7+1SSh0ng7EHILHbIfGSLl4DGMHEv9L2TG/kMrXgtoZA4kV9zJkCzpQum5Hcs2U/IhB26m4FtRvc7k17cwqQL7x2HJ+t/Jy8PnFC4RAiwqHdZRQN6JPl8ANgW/QfXsL29btY9tKHpJIZepcUcN7kkSx+/gOOHyonHFG5uF0b9/LUT17gq//33hYP1e/OXcLmVdspGVxI3yHFvHdlnJqKGhJna1b7+A8msxi4ckl1tizc3Kbdk2E5oxHrL5Qe5R2G0MUYZ0qXrWw1h1pOdW1jDplNYGJY7Sk320M1M5d4Ve8BImDlYeIPdqorWVshImz8cEuTRriiAX349IPNOQXIg0YOoE+/Xhw7VJ5116upSmCMYe+WA5QMLsaJhjFoRSk5OM6eR8Zw1sIK3ntOLaXtkMXwsUM5f0qMgsI8ktUpXv/vd0mnM1x8g/57NKZi1P7+4xf/lqd/8gLx/Cix/BjRWAQvKhT1740Tcxo0954p67MxjIlC3jeUi5xZD6YAE5mK6aJc6xNBjj6i9E3QyjphTO+ftDlOMMZA/IuqFubt9cNE8SkWradFtoQOvwMkqhIc3l3GqgXrOLhDb2RvPrEQz/Xo3bdXTgHyqElnc+dz+YSdEM8OAxBmbQzhRGM8NfA4TtRR5y7g+bMNqZokA371FpmMR37vOBOvGcfqhetZv2wTqxeuxxjDFbdP4YV/e5UH/s9d9Bt28hLFvMfe4OiB45QMKs7yJgee3Z+a8houv20KTrRnNm7kCmPlQf63kdRqCF8AVomWpbtJ6acWVmQKEh4L8S8BIXUIbEdTjnGmIO4B5WPXBt3hsZiWmh5PI2qNPWozUbVc+xVvfMLnq3fw2KrSFsc4a9wwrr3vChY/9z7iCeIJZ10wjL5Di1nx+idZt70HK/rhZjy2r9tJ+eFySgYXk0m7/POXf4GXcTl+uAKAt/+wCICJ14xj/bJNTJ1xcvmmFW9+QiQaxvJvuoZWVkTOEJjQEEzo7tM9jY6Dab+dsTEGE/0C4lwAmZ2aRQ6NxJi2yYueCoSdMG/+fiGWZWXX69tPvod4Av/Z8vvtkM3tfz2Tl/7jNQ7sPITB4MQdbnzwGt747wU40bCu2UfGUO5XcFOD45w3uT8fvbqK919egRWyCIVD9PI1yqN5EUoGF7P8pRVceM24k/YRbF75OYnqJBvuGYIBDvfV1264Zygjn/icwv59ztjAuD6MFcdEvwB84XRPpWPgr9f2JtGM3Q8KHoXM5ypLaQ/qtNijwwPkkBPCCtlNEsCeJ+T1yY2DXFCYz93fv4VXf/M2N6+vATEMHTeIkRNH8PQHbzd4rYiQqErx/rsfs2fzPjxPWL1oA1XHqtixYXeW07Tk+Q9IJ9NMuHoM0x64+qTX37B0Ex/PKMEYQ9UIvQEsQ4OJ/dsOcvYFbS3B9xwYE8NEpkJk6umeSrtgrHywxnbMWCakDVTRq8F9WHmfVu7NbqcDw0YPJhJ3mgj+G2OI5ucWJBhjuGT6hVxwxfmU7TtGvCBKYf8+bP1kOx+6Hzd47YHtB6k8Xs24K0ZnM8PieSRrUk3GjcQcDtXjJJ4ITtRpIHl+5eJqRIQFToJhowfz0l9+NfvcmZY57kmobTrsDHMAYxWC03VdT2thjOHC6y9gyYsfKFXCRzqZoU+/3KsBxQML+er/vZdDu8rIpDP0G1aCZVksemaZrsUC2G/XrUkvFuKVsR4PVvTDcz2WvvQho6c2lBZ0omGOHTxOoipJfp9Qk6a+2t/XL93Y7JxEhMtvvZi/fuyb2ceC9dq9UV9Np0PXqwm3qZG+tejwADnshLnw2nGkk2nWLNqAMYZrvngFh3aVMfmG3OW+Bo0cwEP/330cP1SOHbakEzIkAAAgAElEQVTpVVTAkf1HueVJh35Di3mit26c09cK65buYegNE9i/7SA2UFCYx9ZV25qMaWyLY4fKW7x2QXE+UNH0CWPI693zROTPNIi4fnNPtFMoIcYqgm5iOBKJRbj9r2ZgWRaJqiQfvrYKYxn+6dX/lRMdqT5i+TGGjKqjOf3vrR9w4ALJVnt+0mc3sWEJrtlbQn6hNrm++cRCwpEw8V5xUok0tm1l3TAP7DjEwJH9m1ynMb5w51TWL91IJpUh5FNFjh8u57qP+vDP/3h/g9cGG23Xgld2P2Q+hdDoE26gktnlK8TsBnuQZo26EQ+zozF15iTK9h5hy8fb+OiNT0CEL//9XUx/+NpWjWNZVhNPgCvvmMrrv32Xu1MFPDO4gr1WinSjKMGyLfJ6xTmw83ADqsf/3959h8dV3Qkf/557p6r3aluyLcu2LPeKe8HYxoSaBAghQMImm4Rskk12k3fzpm3ysrspu9mEzaZuKiUkC4RiXMAFMBh3G/duS7K6NCrTZ+55/7hiLLmDZUu2f5/n4XnC1cxwRs71/d1zfyUcCONN8Zy1Y0x3wyYOITM/nbHP1ZGWlcobs5OxtKbimVrm/Pzcg6lE/2DV20/0jPwtZ/251kF0+E27lZty2oWF6upJ5erusiRZzbxzKuFgBNM0UUrR3tzOgo/OYtiE99aGwzCMHvlIWQWZjJ9fyZaVO4hXahRwYm8t7U3tbHx5ayKl4+2XtuJrbGfh/XPYtGIbCsVND8yl7lgDpZUXHtZx40dnc/CLvyMtO4V1XcfGv9jIiKnDLtuIavHeaB0EbdnpHhf9Hm3nYIZfBSsARgbaswSjP/ZpvoIGlBfxqR9+jJOH6rjr72+haGj+RbeMOh+lFLkDczheZ3f00Nput1YyKhfVrWpOKUVyupeW2lYM0+SFn62wb6zvmXnGLtXZTF06kQNbjrDmyfWJAsOMnDQe+fHH33fLONF7tA53XTDtyX64pqDc0y8qjUHHjqM7f2ZfaFUqxI6CowyV8snLvOr+y+V2cvsjS2iqaeHOLywlPTftoodzXMiY2RW4vS42vLiF2w6FeW6oppYoRdrdo6gvLSeV+uONbHx5K5n5GWTkpRMNR1ny8IIeT6LgzJtSl8fFZ/7z4/zkM7+k+WQLI//UijIUix9ewLh5lYnXfWneN6/bmoG+pmOH0KHVdls1sxTlmY8yzz9ADEDrmJ0fHDtu9123wnZusGviZZt2dzldlquH0+Vk8UPzmXnHVPxtATLy0nrlgguw4L5ZDCgvonTtbmLRGJGFuTRWNfW44AKYpsG21e/ga7ALf47vraZgcB6VMy68LT/tlknUHW3gpV++wqCfnwBg+G2T+eyPHrrq/oCvNdpqQwefh+huUBptlqG8t19UDpKObIDgs10XagPciyDwRyzcGK4Rl3/x/ZjT5aSkoneHYzx5192APbULoCMSoTZV86uWWgx/PZV/OZnIoexo6SQajmJZEQLtdpC7b+PBi2oNaRgGD3zrbhY/OI99mw6RmpnC6Nkj3/PgAtH7tLbQ/j/YBXVG1+ZCaBk6dgTt/6ndTQMgutHemTptJ1mHVti7xUZX+oNyg+VDB5ejUj9zhb9N/6GUIndANrkDenfioVKKEVOGMWKK3Xnps5Eov/iHP9jXva69Kl9jO9X7TzJgeBF+n5+aQ7U0Vjfz0a9/kDGzKy64wwhQPmEIP1j7bXau20OwI8jIaeW9/l3E+2NFdkHg9/bgDZUM0f3o2D50bH9X3q99zp71zzl2sCs4Lu4aCgLoJIhsB/c86Oft+E53WbdXUjKSzz5P/RIYhsHIqcMYOdU+gRuqmmiubSUtK9UuEtKa3IHZZOSl0VjdgsvjpHBIPuFgmNsfWdKj08W5KKW44++WsvDBeVTtrSYjL53CwRd+1CsuL63jaP9vwGqEyAb7oNuN9v8SUv/+vO1vtLbsnePIRrs3NUB4BRCzG4xf5wFyb2pv7iDkD5GRn4HL7aQi1955erumGrBz+WPROJHQqXZsyRnJxBrjGCZEw/bxaCT2nv67+aV55JfmXfiF4sqJH7MvmsYA+4IJ9v+OHbCn4l3M+9VpN78qHawTV+WOVH8UCUfx1fvwJHtIy+5Z+Oh0ObnzC0t59sfLEgV9NYdqGTCimLJuKVhtTR0MLf0GuiX3VAB1gdxTt8fF5EXn7kDywzXflp3jK0xr3dXRJeNUz3QzF+KNYPnO/2ZAx2sB89S5Dl2BstG1Gy0Bcq+Kx+NU7z9Je3Mn6blpDCgv7DH4I29gDrd/bgmrfreOcfMriYSibHhxCykZSbTW2X+g7U0dNFU3c2zXifd0l5qSlsTIqRd+xCuukPhRCDzdc/pd+DXQEbRn6QVGWsfscZRn9CM27YBbXLKgP8SK36zh4JYjKEPhdDmYf98snrzrbr4075vkzEyisy1A9mN7qJg+nM+v+L/8y/0/pnpfDaZpJAJjp9tJamYyH/qy5CNe9d5tyXb6BRNQWb9Ad/zn+XOQjVw7Hap7xwrtB5UjwXEv2LV+H68+/jrRcBStNWXjB7P44/PxJp/abCgcnM8nv3c/Jw/XE4/F+etjL58xGCgtO4VIMIKO7j31LDe298p9EdFLwqBbwDgtncJIB/dcjLSvnf8JgZGF3fb1NFpfNTMSuuvXAXKgI8j//seLvPDfKwCYtGgcA4cXc8fnb+4xiWvY+CEMGV2Cr7GdppoWtq/Zdcb0PMM81RJHXKWszvP8rO0Cb3aCmWcPNAmvsg957+waDd0/xwpfbT494R8ItAe5+W8WYhiKcDDCsl++mqgj6N6H2OE0GTKmBI/XbqtnWT3/UtVak5rZu0+fRB8430VRpV24st29wH7cq82uASdB+wLuva9313kdqj5Yy7JfvkJmfgbuvHQsS3No61FWGmu57bOLe7zW4XQwaEQxABl56fjbAoT8gILk9CRi4RgvPPlRPvOt1RDd1PWmkZe8Rtk5vtJcdlrF6YWw2m8PBrsA5RyBNtLtTSeVjT1NuAEcA+2e41eZfh0gr3/ubeqONST6DueX5FK1v4aNy7Yy+4M9J7GYDpPswkycbgeTbhqLw+3gzec2YZgG8++bScvJVnn8erUz8+zRuEYRhJ61j3nuAOskyiw871uVUmj3Ugj8Bnu4iQnxBlCgPAsu+9KvdQ0nGulo8eN0OxObhW6vC7fXxY41u87Z8unfX/tnvnvPf3B8dxWeZPumd+S0cgqH5DF88tXVFF+chWOo/Vg1+BTgAs9toBvtYxcxHlo5R6O999rpUNZJeyfZezfKeQnDQQTxeJx1T7/JxmXbcHldLH5oHoZhF9Ue3HKETp//nOmRgyoG8IdvPY3D5aTuaD3KUEy4cQxLHl6Akf2JUzuMvdjWS1wZShlo9wLwfckujPV+0N6Y0n6UZy5w/tzyxICT0AsQ3Q8Y4BqP8tx81QwR665fBshaa2oO1rLyd+s4svM47V0DBFb9fh2WZZGU6j0jQH6Xy+Mi2Bnk0OvHaG+23/fW85sZOa2cihskXeKqZhSCazxEtgBx+5hVDY5yO4/4Qm93jUAbf4sOj4B4HThKUe65FwyuxblprXn7pS384BP/nTjfnv3xMpLSvMy7ZyatDT52vraXUTNGMHDEmVXQ21bvwnSYeFO9uLx+tKWpOnCSGbdPvqix9BcjHo9Te6SBaDhKQWnuBesQJO/x0mirw06HQqHbH8XeRepKtQj+GVI/13XBvPDlRymFck9Eu8YndrWuxgttf9J0soVnfvQSO9bsIhQIEQ5FaDjRSM6AbHwN7dQda2Dzyu1MXjSO5PSeQXKnz8/21bvwNbXT2epPzDvYvnoXbU3tTF0y4bwB1MXyNbbRUusjJTOZ3AHZkk5zGWkdt89XqwPd8SjgAt1s/9kGnrID5YyfXvQUP2XmoJIfQuswoC5p+FZf63cBstaatU+vZ9Oy7ex560AiLxEgFo0RCoTZtX4fy371ClNunnBGe5utq3ZgOp14U089HvA1tOFNcV9URfzFrK/uWAMHNh+2c7bGDaZ4WKGcwJeB1hpih9DRraBjKNc4e8fYHNz1uCYOzkko98WPclaOwSiHpFT0lmO7q1j79Fs9hhbE4xb+tgBbX91JoC1AYVkBT3//r5RPGsL3Vn2jRxuozcu301TdQt0Re9oeBgTbA7z481UsefjGxLj696vpZAvP/udL+BrbUSgMU7HwY3MYPavikj5XnJ0V2WYHwToOKIifAKNbgbOjFCPp3vf8uUoZdoqFuCTxeJxn/3MZq594nXjMIhywe5Sv+/NbDB0/mI4WO41t47Jt7Fi7h7v/8Ta+/9B/AfYN4+Edx+xhIB2hHsPA/O0BDm450ivrW/3E62xfvRtlKCxLM7hyIB/49KIeaZWid2irzS58j9cCCmI1p4rzABylgIHheu/DtPrzNMqL1e8C5LpjDWx6eTt5g3LwJLkxDIVhGsSicVIzk+lo9dNQ1cT+TYfZv+kw93/jg+QUnyq82/n6Xja8sIloOEb1Z+wcKONn+1j95Hru/MIHyB90aX2MN63Yztqn1rNl5Q40MGnhWKYsncCcD90gQXIv0+GVEHoFIm8CCh29AVyTUd4PodxT+3p5AnjntT14Uzwsfmg+L/1yFYH2IEVD82k40USwI0h2URbDJgzB4TDZt/EwwycfSXSgATs148S+ajxJbkyHye4PFdv9qn91kH0bDjBmTs+/mOOxOPG4dVGBczwe59kfLyPUGSa/a7x8JBxl+f+sIb8k94yR8+/uHHfvvSq7yBdPWy0QfBpUFhhdF0fPrXZXA+UGTHns3sfqjzXia2zD4XRgOk5FuPFYnNpDdaTnpTFy6jCyC7Nob+7gS3O/mZhG+6V53+TA5sPEY3Fi0XjPD9YQDkTOOGe01kTDUXvCrnHhnf9db+xjy8qdFAzOwzAMtNYcfecE655+k0UPzuudX4JI0MHn7Xzhd/OLvXeDVWXnH19MjcA1rt8FyFX7ati8YjsujyvxyFYZCm1pgv4wTrcDT7KH7MJMmk+28PZLW1n6yYWJ97ecbCUSilLz2ZGEhtrTW6o+PRLDULz90mZu/fSp4oN4LE7NoTpikRgFg/NISj3/o9e2pnbW/elNcoqzcXZdoHMH5bBx2VYqbiiXISK9SMebIbS6q5q2Kxgyiu3pPK6p4JBx3/1BOBhJ7Ag7XU5SMgyy8tNpqmlhyJgSBpQXJYZ1JKd62b/pUCJArj/eSPWBWkKdYeLROA6XA41Ga43D6WDb2l2JADkcDPPGM2+zc90eYtE4JaMGMv/eGT1ujk/XcLwJX0NbIjgGe8iCYRjs23jojABZXBod7WrdZnTbOVJesFq70iOk6LKvRSMxlFKJaZUrfruGSDiKw2WSkp7EuHmVpHSlVaRmpfR4gqstTTxmnbf9ohU/VWx7cNsR1j39Fq11PpLSvUy/dTLj5lWedyNp26vvkJ6blgim3+33vHv9PuZ/ZKb0Nu9FWgfteQJGt9ZrStk3uFY7mFfn9Lve1O8CZIf7zCVl5qXT3tJJyB/G7wvg9wVY+bu1WJaFp9tYyz1v7eforhNoS6N190/QWJZm38ZDfOBv7d6ZDVVNPPOjl1j9xOsATL1lIjdd4NFrzaE6Ni3fhsvjSnTEePWPrxEJRbjxo7MlQO5N8WoIv96zpVvoua6WbregJEDuF8onDeXIjuOkZiYnLrrNJ1torGll0MgBPXaN4nErkYrhb/Pzp+/9leSMZJShOPqJMjQQHGg/Rt9770BK1+5h98J9VNwwnGW/fJWDW4+QU5yN6TA4eaiOp/7tOR76zj1n5Em+KxaNcbZLseEwCAcjZxw/VyGhuFj6nD9Rad+6QBtGcSUUlObicJqEgxHcXhdKKVxuJ+k5qQwYXpQIjsHuzDV58XhqDtViOkxufngBmYUZbF6+nWBH0A6mtAZlj+lSpsH8e2cS7AzSWN3Csz96idTsVPJLcgkHwqz4zRoAxs8ffc71hYMRHKdN4jNMg3jM6hF8i16gtT3I44y/JRV4b8NI/WIfLKp/6XfVDmVjBzN16URmf+gG8ktyyS/JZfYHb2Dg8EKcpwXPVtwiu9BuIdXe3MGyX73KoJH2o4Lix/bgOdSO51A7RT/ZQ9FP9lC1r4Y///AFAp1Bnv3xMmKRGC6PC5fHRXpOGsv/Zw0NVU3nXNv5Hus6LzFXUpxGec48bxM/k1zE/qLihnJKRw+i7lgDzSdbaTjRhEYzfn4lvob2xOti0TjhYJhRM+yBLPs3H+aNZzZQf7yRlMxktKUJFfZ8grPnzf288LNVbFy+je1rduFwOYjH4iilyCrIINgRYt/GQ+dcW35JLg6Xg3AgnDimtSYSilA2rrR3fxHiVBGPPrXriA7bQwIuoohWXH5ur5tFD82jramdhqomJtw4hjFzKpi0eBzKMIh3C0JbalsYMrYE02FixS22r9lN8dACissLUV03vlrbO8uWpdGWxb5Nh3j+pyt45Y/rCAcjxGMWWmvcSW6yi7J486+bzmjp2N3IaeW0NvZs2elraGPQyOJem8YrbMpIArMMdLeYR2vQreCc1HcL60f63Q5yWnYqt352ES/94hUioQigUKbiri98gG2r32Hna3swDINZd03D19jG1KV2S5lju6vYuGwrjnM8glGGorRyEMfeOc7T33+eZb98BcM07EpcYO1T64mEo9xw68Rz7gQPHFHErA/egMNhsv65jQDMumsagfYAQ8YM6v1fxvXMMQQ8H7AvsOG19jH3jUAU5ZSpd/2F0+Xkg1+8haPvnOD43ipSM1MYMWUY8bjFMz96kfoT9pMWpRRzPzydQSOK+dK8b+JraKe13r4QpmQmU/TYHmoeqSBcnIS7JkDxY3uIAVtf2cmxd04Q9IfwJHtQQMmoARSXFeJ0O2mubT3n2lweF0seXsAL/70SmjowTINoJErlzBGUjDp3T07ZOX5/lJmL9n4Agi90O2iA94MoI/XcbxRX1Mip5eQNymX/pkOEA2GGjCmhuLyQN555m03Lt9stMbUmvySXRQ/O464v3EJrQxv/838eZ/UTbxCPx0lOT0oU9L1La9i6aifVB07iq2/D7XVTfbDW/jth6jDcXhe+hjai4eg5g91JN43lyI5j1B1rwOl2Eo3ESE71suC+WVfiV3PdUd7b7Um08ZquIxocw6TGp0u/C5DBHvzxmf94kNsfWYJhGhQNzccwDTILM0hKTyISiACa2z67mJIK+0KnLfvxnmGcfdtRW5p1f3oTl9eFN9lNsDPUY4NSa40CwsHoWd8P9t33XV9YynOPvdwVvEM4FOH2v7v5nI95xfujlBOSP44OPAG663G4cqCS7kcZvdP+S/QO02FSNn4wZeN7dgd58Dv3UHu4nlAgTH5Jbo+2bW7vqRvZaDjKyUcqCJXZOW/h4iRqHqmg+LE9+Bra8LcFyC/NpfZIHVZc09HS2ZWzbI+RP5/hk8rI/X/Z7N98mJA/zJDRgxg4oviiCobEe2e4Z6Id5ejYIcBAOctRRtYF3yeurOzCTKbfOrnHsbkfnsH4+aNprG4mKdWbKJQD+M6Hf8jJQ3U0n7RvSA3zzPNHW5qmmhbamjsoHTWQaDiGwzSoO1JP0B+ifMIQ0vPSEnMNziYp1ctHvnYXn5/+NSKhCI/85BMMn1x2wfog8f4oMwdS/x5i+9FxH8pRBObgi+4Kda3rlwEy2Ls/paft8kxZPJ6JN44hEorgTnL3uMgNGlnM5MXjSc9N46//9TKRswS6oUCYeCxOUqoHh9OeF250PRrKyEsnb2DOBR+9Fg0t4JPfu59bP70Iy9IUDM675FZU4uyUmQ8pX4CkewENRp6cuFcR0zQZUH5m7+Mfrvk2sWiMh4b/HYGOIE6PC9N56s/VXRNI/G9lKKy4RaAtQLAzhGEo/B0BdqzbzcDhRYmUqvPJKsjkhlvkkeGVosw8lClDma5G6TlppOecWZyllCIjLz0RIJ+vYVM0FOX4niqi4RhoSMlOofNALe3NnXz8/91zwW5PLreTpDQvSWne8+Yri96hlBucY1ASxpyh3wbI52I6zLM2+s/Mz2DBfbN4/r9XcOzhcrTWiR2pmkfswrtBP99PNBKj7mjDaUV8UH+iEXeSC+9F3Kk6nI6zXvhF71NK2VO3RL/1foraHE4HOQOzaan1gYIRT57g4P2DiYQiFD2259QLLY3T67A72miw4hq/L4A3xUN2URb73j7E1Jsn9PZXEkJ08+65/dmpX6VqXw3uJBfJacmEgxGaapp71Gc63U4M08Qw4nabt1AUb7KbUdOGsXv9fmbdOS3R2eZsvjTvmz1aLXb/7wtxJV1Tzxkn3DiGu//xNpLSvD0GF4Bd7+VwOlCGShQYdP/hsPGDGTCskC2rdly5BQtxHfuPdd/hJ289SsW0cvJL85i6ysfQ35waNqAUOD0uwoFwz9ZSCrypXrKLstj79sE+WLkQV68vzftmIvB8rzxJbrIKMigbNxiXx4nf58ftPZUyoQxFNBwl7A93dZ7QREMR2po62LV+P6HOEI3Vzb31VYS4rK66HeQLKZ80lIf/XMDRXVWsMsOEgxFKfnWQpIwkckYUUXu4Hn9boOebtF3kd2x3NZn5GX2zcCGuMpcyWKP7ztCsO6ey+sn1bF65HcvSuL0u3Mlu4tE4ptPs0YUCAA0tta3MnP9fXY9r7z7j8zt9fuKxOGnZqTLAR4he8sM136a5tpUnHn2G/ZsOEw6Ee3RwendmQc+WfwrDwO5xDmfdPY6Eo/jbAiSnefnhmm/LzrHoF/pNgByLxjAd5iVfzEzT5I7PL+Uv//4CLm8zptOkbHwpOQNzObrjmD2++F2KxHlsmibRSJSC0jNz5xqqmji68zgazZAxpdLvWFy3gp1BDmw5TPPJVvxtgR4j3d+vG26dTEpmCns3HEBrTSwSQwORYIRYt53j7//lEHS1XgWomGh3oLGaP5qY+PSFWf+Xllofo2fZUzRzB2Sz+BPzz3peC3Gt01pTfeAkR3Ye54///Be8qR72brCfurzXILT76z/yT3eyecV2PMlu5t0zgxW/XYsVtwgFwlgx6932yGgNTreDkD9Mw/Emtq/eRc6vTxVtaq3ZvHIH65/bSDwSw3CYTLtlon1dlvta0cf6PECuPVLPmqfeoPpALUmpXiYvGc+kRWMxzfdfjJWc5mX0rJHc/9oeYlGLplzIyEnD19hOPBrHk2yPtc3IS6OpugVvmpepSycQCUUZf+NoIuEoTpcDpRSbVm5nzRNvsHnFdkAxadE45t4znSmLx/feL0GIq0BrQxtP/euzdLZ24nA5GTK2hMz8DLSlMR3mRV1oT991/vu53+DApsMkpXkTbd+8KR5u+9wSgh1BVvx2rT3MwOvE6XGilCIes3oUCbU2+Gg5foSSUQNorG4mFo6R1zVSvqOlk6e//zyf+JePkJwm/bPF9UNrzSt/fI2tr+zE4XTQ1tRBW1P7hd94AdUHTvLl+d9KFOw999hyrFicrMJMtGXnHAO4vC570ma3Atzk9CReffx1UrNSeOLRZwgHwpSOGkTugKxEW7d1T7/JfV+/iwkLxlzyWoW4FH0aIDfXtvLUvz6Lw+Vgx7rdaEvT2eYn5A8x50PT39dn+tv8/PE7f6G9pZOtq3bibw+QXZRFZn463hQPlmURDkSIhKN4/G5yBmYzuHIgSRlJ5Gem8NS/PUc0FKWorIBJi8ay9qn15BRnJVrT5BRnsu7pNxk2frCkY4jrymt/fotQZ5j8klO7sQ1VTbQ3d5KZn37G6y9mh8rfFiAWi/d4TGtpzfHdVZSNG4wnyU3YH+K7f9jLyAl239WqI8WYDpNDu104nCbPPX4LG55/FIfTkchvXPX7ddz0wFzSslOpO97Iwa1HGDe3sld+D0JcDWoO1bHt1XfIL8nFMAxu+dRCIuEoK3+3luKygveUvtCzcO5bdtFsF6UUDreTeffMwNKav/zwBbSlGTiimJziLEBxZMcxgp0hMvLT2bb6HQDqjtYDMG5uZeL8d7ocZBVmsuHFLYyfP1rSo0Sf6tMAefvqd9jw4hacbicNx+1pLu+8then28mUmyfgTX7vj2+3rd5Fe0sn+YNyMR0maHv07Zqn3rTHYwJur4sfPnuEtOxUHn/sVo7vqaaxuoX2pna+/osdJKV6eea3d/P4d59hz1v78SS5E6OlVz/xBpFQhMUPzZcAWVw34vF416jnnj1tM/MzGDe/kr977OGL+pzTxzmPmV3BuHmVJKclsfJ3a2lv7qC0ciANJ5o4tO0ovgZ7V7l7f/NOnx+l7GJbK2YRaAvi9DgJdoTO+t80TeOMoQZCXOuO7TqBYRo92qG63E7QnHXUOlzcTa22LLILMwH7c7ILM9Fas/J3a7sm6tk5UC21rbTW+UhK89rnsVL4GtrYv/EQyelJdgcb4PVnNqCUSoyqd3td+Brb7NkEEiCLPtSnAXJjVfMZDceVUqDtnaX3EyAffecEW1ftxHSYiaDWMBSurkrb7/3lEKZpMGJ8B9DK7fc/RTwWJxqOogzF0Ar7zvj2jz1JJBTlS+sGQ9KZU39MxzXVAESI81JK4XCaxGMWhuvU//fjsTju0zrGnK14D85+0Y2EohiGgb8twIw7ptBY3Uz1gZNdn31qJO0//81YvvWbd3A4Hfzoq9Px+/wUDM6js82Pr2EPRUPzSU5P4p3X9pKalZK42GqtiUXjFJcV9t4vQ4irgLMrGD7d5CXj+PCXb31Pn/Vu4VygPciQMSVk5KXz6hOvJ9In4nELjT30512m04Hf5ye7OIuUzGRyCrMwHAaRUJR47NQOdCQcxd1teEh7UweDhsswH9H3+jRALiorYOJNY8kbmMPK360FYN69M2lv7iAt6/1NS0vLTiEaifW4Q3Z6XOQNyqHT58cwjR6TfEJdFfKWpcE69bdJS60Pt9dF4dB8xs2t5PX/3QDArA9OI9AWOO+oWiGuNYZhMG5+JW+/tI2C0vg2JasAABssSURBVFyUUliWpqW29X2NgX03WH5w+OdoqmmhuLwIpcHldWKaBkopRs0YztsvbsHlcXHzJ2/k+SfGcGJPDUpZKEPRfLKFQEcQy9J0+vz4GtooHTWQorIC2pvt0dIdLZ2Ujh5EScWA3v6VCNGvlU8cwhv/u4FwMJJoxdbR2klyehLFw868YbyY/sNOj5M3nn0bK25RPKwQBaRkptBQ1cSY2RXUHKyl+kAtKRlJzL93BpuWb7f7IhsGoVCEjuYOktOTcDjtgvx43GLM7AqSUr0EOoIE2oOgYM6H31+KpRC9qU8D5LFzR7Fj7W6aT7Z2PZqxaKxqZt69M847jvJ8tAZvqgdffRuGoXB6XBQNySN/cD6eZDePfT2V8olDuS/3r4QDYf7vRweCPhUof/+Zw2hL840HK8gbkE16nhd/uz8xWjrYEeS2R5ZIwY+47ky/dTKt9W0c2nrUnnBnacbMqWD8gp7Trk5PozjX49ovzv46NQfrADh5sBaUImdAFk6ng8/86CGcHieZ+elYcQuHw4HD5SAei2M4TNJz06g7Uo8nxUNLnY9IKELh4HzS89KYeedUag/XE41EmX77ZCpuGG6nWwlxHcnMz2Dppxby8q9X09bYjgZSMpK48/NLzzuo41x+uObbrPvzm/zoUz/HitvH4pZF3bEGbrx/DtOWTuDY7ip++ZU/YjrMRKF9sC1A4ZACqvZXY5gGDtPA4XKAUjicDsrGDyZvYDYnD9czZEwJE24cTU5xdi/+JoR4f/o0QE7PSeMjX7uLDS9sxnSapGalMGXJOCpuGP6+Pq+1oY1db+xl0IhiWuvacHldFJUV4En28PFH76Vk5ADeeOZt1v91E1bMwjAMMgsyycxL4/ie6h79kUOdIRprWmhv6eDhf7mP2x+5GYDiYQW4vWemXAhxrXN5XNz+yBKaT7bQ3txJRl4aWQWZ7/vzOlv9p/5FKUyHwYgpZVgxTUpGMmXjB1M0JJ9n/vMl6o83YsUs4nGLqv0nQUFqVgphf1ePZA2DKwdhOAxSM1OY+eWpl/hthbj6jZgyjNLKQdQdbcB0GBQNLTjnzeKF+g9/cfbXOba7ik6ffZ2sPVKPw+Vg2tKJKAXDJ5cxbOIQXB4nW1bupLm2laQUL4d3HCMaOYlSiuQ0L+2tnTicDkZOHcbQcaU0Vjdz71fvuHy/BCHepz5v85ZdmMnSTy685M+xLIuXfrGKt57fTDQSSxQKtDW101rno/FEE4NHDWLmnVPJzE/nlRfz8LcFGD65DR3XVB+oRSn46t3lxKP27XFKehKxaAytNUPGlFzyGoW42imlyCnOvqgdnvMV+jTVNJNXksvJI/U4nCaDRhQTDkYwDAPl0IknOpn5GTz03XupO9pANBzl3x54jHjMPj/bGtpRhj1+Oh6Ns/vN/URCEe74u5t758sKcQ3wJLkpvcSUQK01zSdbiXRLXbTiFvFonLScVDs1AjsVa949M5m4cCzNta24PU7+aemj1B9rJBaLE/SHsGIWkViE2qP11BysZcknFlzS2oS4XPo8QO4tR3YcZ9/GQxhd+Yu6qzoh1BnG5XGSlOoF7BN49KwKRs+qIBqJsmv9fvZtOIA7yc3RnccZMq6Ebat3oVAsuG8WjTXNFA3N78uvJsQ1Z9PL20lK82IYyu5z7HFhmAbHdlVRUlFMweBTreT+YYEdaLc1tVO9vzZxXKPRp+r4iEZimE6T0spBV+x7CHEtOddNbf3xRkbNGE5DVRMHNx/BMA2Gji2l0+en5mAtsz94Q4/Xf/uDPyASjHBo+7Eew3661wZpyy6gnXrLxMvzZYS4RNdEgByPxdm8cjsHtxzGMAysuH3VNEyDrKJMRkwZxuDTdoCPvHOcnzzyKw5sOgzAwOFFZORnEA5GiUXioDUNVU1Mv22ytHMTopcE/SEObT3Chpc240nxMH5+JXXH7D7FABl56YyZXUFOkd1OrnvhkFKqx3Qt+8Y3ic5Wu4XbHZ9bwk0PzrVbWQkhLpnWmpqDtax/biMtdT4GlBUSbA/Z8wSCYUL+MMpQTLnZHpx1egeb0xmGgWVZOBwm0z4widl3TaN84pAr9n2EeC+u6gBZa82Odbt543/fZu/Gg/jbgriTXNDVQcblcWIYils+eWOiqM6yLJqqm3nskV/R1thOLBrDsjRHd1fB7ipGTR/OBz59Ew6ng/JJQxg7d1QffkMhrh0tda089a/P4W8L4Gtop21PDVmFGZRPLqOppgWtNeWThrLgo7MB+8Y32Hmqt7En2d11YbZ3oVxuFxn5aYm+yN5UL76GdjLzM6R/qhCXyLIsVv1+HTvW7ibkD1N7pB5fQxuDR5cQDUfZ9spOtNbc8bmbSctKBSAWifU4Z72pXoKddvqFaRqk56bT1tiOMgxyirMIByMEO0OJJ7xC9CdXdYC8b+NBlv96NdlFWTRWNQOarIIMTNPAdJpMmD+ajMJMRk4rB+Dg1iOsfvINDu84xu43D6D1qabmVlfP1cYTTax58g3amztRChZ/YgF3fG6J7CILcYleffx1IqEo+SW5JKV5eee1PRzYdJgTe6sTgzxO7K3mq4u+y6PL/on//dFLlI4ayMlDdQQ7g3hSPMRj8UQeZNAfonrfSWJdNQNPPvoMf4xbfP6//4aZd0iRnhCXompfDdvX7CK/JA+l7LHtrQ1trH/ubVIzU+joKrL9/bee5g///Gce/M49DBheRCQYoWpfDZal8SS5CHYGUdhPh3wNbcRjFvFYnBd+uoJ4LM6N98/hvq/dSXJ6ct9+YSFOc1V34t7w4lZ2rN3NuqffpLXORzgQofZIPYGOIPFoHE+Khw98aiFKKWoO1fLsj5ehLc3h7cew4lYiOO6uobqZ+uONKMPOi+xs6eTZHy/DsqyzrEAIcTEioQjHdlWRkWePpE7NTKFi+nBMp0nIfyovMTXT7n++Y+1uqvbVkF+Si8PlwLI0bU3tRIIRHC675Zu2NLrbKexwOXB5nGx4YUuPUbhCiPfu0LajuNzORJ3AiKnDKC4rwIrrHrnEylDEY3FW/nYtmfkZ5JfkEo9ZWJZFZ1sAh9OROIetbtdc02Hi8rhoa2xnx9rdffEVhTivq3oH2dfQdsYkvpSMZAaOHMDHvvkhysaV4k2xH91sXrGdLat24nQ5aG+yL56GeSpf+V06bhEJRQkH7DGYG1/eRiQUYcknFlA4RIr1hHg/lKEwTANtWWDYbaYyctNZ/PH5uNxO9mw4AJwqEvrN158kPScNpRQ3fnQ2L/xsBZFglFA83GM6mDJ6plK8m1rRcKKJtOzUK/DNhLg2Od3OHgGt0+Vg6NhSkjOS+Mj/uZP/+NTPAfuc3b/5MM//dHki/z85PYmgP2RP1uv6iLbGdrQ+c1MqNTOFQ9uPMf22KZf/SwnxHlzVAfKgEUV2L+P89MQkvmm3TCSzIIPRM0f2eG1Lne/sY627GKZhNzHvGp0Zere/qv1CIt1GaAoh3huny8moGcN557W95A3KSUzia2vsYNFDcxMB8rscTgchK5w4ryPBrvPv9OvrWUbpajSelPc+pl4IccrwyWW8/dJWopEYTpcdKrQ3d5CRm07haZ2dzG7X1pW/W0unz8/ptNZnPV/DoQiFQ/PO/IEQfeyqDpBn3DGVJx59hubaVrsnYzxOOBA+65jKkoqBTFw4hpziLJb/Zg1YmvLJQzm0/RimadBa70NrjcPlYMjYEuqONqBQzL17Bh2tHeSX5PbBNxTi2jHnQzfgq2+jar89NEBrzdh5FYyZXXFGe6mxc0fx0i9WEY3EiEVO3ZxmFmQQDUfx+wI43A7cXhfxaJyUzGQWfmwOLXU+0nPTpDWjEJcovySXhR+bw6uPv24/aVX2bu/tn1uCaZo9ztmBI4pweVy0NrQlepiDPcwn2BnEdJhoSxOPWyilSM1K4aYH5hIORmip8zF+wZi++IpCnNdVHSAXlOZx/zc+xObl20nLTiG/JJfJi8efNZidcONoNr28jTeefZuW2lYADm87StmEwdQdacDlzaP5ZAvxaJz6400EO0I4XA5a630seXgBniSZnifEpfCmeLn7K7dTd6wBvy9AZkEG2YVnn8RXMb2c1Y+/jtvrxJviIegPY8UtQp2hRJV8NBQlLSsFfyRAVkEGDVVNDCwvYsnDCzCMq7q8Qoh+Ydy8SoZNHELtkXqcbifFZQVnHVPt9rqZdddUfvr539jpFZ0h4rE4yRlJdLR02q1TuxgOA3+bn6r9NaRmpXDz3yxg0IjiK/m1hLgoV3WADJA7IJslD194Eo8n2YPpNMkpyqaxqpl4LI7hMNm8fDvKMBhQVoDCvrMdO6eC+mONLHl4PqNnjiRvkOweC9EblFIUDj777m73MbcttT6ikSjTPjCJQEeQdX96E9NhEo3EUIZKFNgapkFadioFg/O55yu3M6C8SFq8CdGLktOSKBs3+Kw/e/ec/cHqb7Hv7YNUzhiBMhTr/vwmkRA43Q6UAtVtPkFucTaVs0YwelYFNz0wB6dL+paL/umqD5Av1vHdVWxcthWXx5UYi9nR0mlfcJWi/kQT/rYAnT4/O9bsZvz8SsbOGXVRI3WFEO/f6cMFvjTvm3T6/AwZU0pKejLRkD2JKxKM9BgCpLVm/ILR5A/KpaGqCXeSW4JjIa6QeCyOZVkYhkE0HKXmYF2ivqCorJCDW45Qvb8Wre3id8M08CS5uemBubTU+XA4TAmORb92TQbI8Vicg1uPcGDzYVxeF6OmD+/RluZdwc4QaLt4oHtzc63tQdVJXcNFhBCXTzQUpbWhLfHvvoY2nC4n7zaoiEVj53inPZgg5A/jSXKTVSC9yoW43KKRKJ+e8I90tHbSUmt3e/r7Od+ksaqJRQ/Nw3SYxML2OatUz7o8S2u01oQDYUpHy0h40b9dcwFyPB7nhZ+tYP/Gw2xb/Q5aayYsGMPERWOZvHg8OQOyWfGb1bTU+fCkeAi0BQBwJ7kI+cNk5KYxZk4FI6cOIxqOYiW7JZ9RiMukvaWDsgmDQcPbL28FDeWTyhg2YTBV+0/S6fOzeeUOgB67x4MqBhALR4lF47TU+5hw42h2r99Pfmku+SW5spMsxGWy+ok3aGvu6LH721jdhDfVS1N1CzvW7SbQEUycr6bDwLI0RWUFZOalU3u0gdziLPw+Pwe2HKZ01EBcHldffR0hzumaC5BP7K3hwKbDFAzOSxQT5A7MZvvqXYydW8G21bvQlsbtdZORm4rDaeJwOsjMTycWiVE2YTAOh8nu9fvZu+Eg6blpLP74PAYOlyICIXrbnrcOEA5GyB+Ui0KBgoLSXA5vP8Ytn17I2j+9STwWx3SYifcYpiK7MJO07BSGTynjyPZjbF+9K/HzsXNHsfBjc+TGVohe1unz885re1n68I0YppFowzh+wWjGL6gk2BFi88rtPc5XZRgYaHIHZjN27ij8rX4aa5p55Y+vAZCancKHv3zbOQt2hegr12CAXG0PBHE7qT/eCNh3vJFQlNs/t4ThU4Yxfv5oQv4QTTWtNJ9sAWDg8CJKRw9i0/JttDd1sOetAyilmHH7FP78gxd46Lv3yLhpIXpZc00L7q7do5semJs4bpgGqRkpfPJ793P7I0sA+M6H/51AR5C7Pr+U3EE5+Op9vPr46ySlJjFo1ACcTgeWZbFt9S6Gji2lbPzZC4uEEO9Pp8+PUiRmCrx7zra3dNLa0M5dn1/KzDun0unz86/3/4RgZ4ibH15AdlEmptNk2yvvcGjbUconDU1MzWyt97H8f1bzkX+6U578iH7lmguQk9KSzjqtBzSeZA8DhhVSMnJA4mgoEKa5tpUXf7aSH3z8p7Q3dSTSLQDWP7eRSDjKlJvHM/OOqVfoWwhxfSgqK2D3mz2HhMRjcbTWZOanY5pmouvFTzf9GwAHthzmr48tJxaJs3fDQZShaG/poHLWSJxOB0mpXna/tV8CZCF6WXpuGspQxKKxHu3egp1BBgwrtF+Tk0Z6Tho/eetR+2f+EH/6t+doONFE9cFajuw4xpGdx5l370xyirLIyEvn5OE6Olo7ScuS6Zei/7jmnkEOnzSUaR+YxMw7p5JfkkteSQ6TF49j0UPzKBxy5rQet9fFK39YR6gzbE/RU2B0ezwEYChFW2P7lfoKQlw3RkwdRkZeGvUnGgkHI/jbAtQfb2Ty4nEkpyef8fp4LM6qP6wjLSeVna/vJhyMEPKHObTtKMt/vdp+kdbIPpQQvc+b7OGGWydTf6KJTp+fSChCQ1UTKRnJVM4ccdb37F6/j4YTTexct4eqvTWEA/Y5u/ZP61nx2zWJ18nusehvrrkd5LTsVO78/FKW/fIVIiG7c0VWQQa3fHoRpmme8frWeh+NJ5rYtmYXzSftASJojWEokjOSuemBudQda2BQxYAz3iuEuDTeZA8f+ac72bR8G/s3HSYpzcvMu6Yyavrws77e19hOsCNE3sCcHqPjlaGIRaJYlkXQH6LiHO8XQlyaabdMJD03jc0rtuNvCzBuXiVTlown+Rxdnw5tP5a42XV6ThX2aUtjWRa+hjaKhxWSknHmDbEQfemaC5ABSkcN5FM/+Bh3ffEWTKdJdmHmOe9OrbiFBrtA6LRjVtyi7lgD+aW5DJ809MosXojrTEpGMvPumcm8e2Ze8LWeJBdo+8K66IF5vPzrV/G3B8gqzCQtK4XGE01MuHEMQ8aUXIGVC3H9UUpRMa2cimnlF/X6tKwU6o40cNMDc7EszfM/XU40HCWrIIPhU8rwpHhY8vH5soMs+p1rMkAGMB3mWUdOny6rMJOM3HRuuHUSbz2/GY1m8qLxHNhymPKJQ5l+2yRGz66QNjRC9APJ6ckMnzKMfW8fJHdgDqbDJDk9ieKyQhbcN4vRs0aSU5wlF1sh+omxc0ex6419hIMR3F4X3hQPhqG44dZJLPzYXAaNLJaBIaJfumYD5ItlGAa3fGohf/7hC4mUjEgowpJPLODmv1lw1rQMIUTfWfixOVhxiwNbDjNufiVOt5MF982icsbZcyCFEH2nuKyQpZ+8kVcff522pnbGza+kfOJQbnpwLt5kT18vT4hzuu4DZIDCIfk8/K/3Mf/eGQQ6ghQNLaCorED6qArRD3mS3Nz22cW0t3QQ8ofJzE+XHSgh+rFR00dQPmkorfVteJLd0q1CXBUkQO6SlOqlcubIvl6GEOIipWWlyoVWiKuE0+Ukb2BOXy9DiIsmW6RCCCGEEEJ0IwGyEEIIIYQQ3UiALIQQQgghRDcSIAshhBBCCNGNBMhCCCGEEEJ0IwGyEEIIIYQQ3UiALIQQQgghRDcSIAshhBBCCNGNBMhCCCGEEEJ0IwGyEEIIIYQQ3UiALIQQQgghRDcSIAshhBBCCNGNBMhCCCGEEEJ0IwGyEEIIIYQQ3Vw3AXI8Fuf4nir2bDhAY3UzWuu+XpIQ4hwi4SifmfwV/nbCP1B3rEHOVyH6Ma01DSca+dsJ/8BnJn2FSCjS10sS4pI5+noBV0J7cwd/+fcXWP4/qwGYtGgcY2ZXsPCBOZim2ceru/ZpHUZH94FVB0YByjkCpdx9vSzRTzXXtvLnHzxPU3UzAL//1tNUzhzBoofmyfl6hWirFR3ZBbod5RgMjnKUui4uF+I9siyLV/6wju1rdtNS2wrAr776OB/68q3kDsju49VdH7SOQuwgOnYUjDSUcwzKSO/rZV31rou/8Vb8bi1tje24PC4A8gblsmPtbgYML6Jyxog+Xt21TVttaP8vIPCsfcA9C23mQvInUUZa3y5O9Dtaaz4/42tEwzFa69sA2LF2N5uWb6e0chAV08r7eIXXPh07ivb/GkKrAYV2zwDHcEi+H6Vcfb080c8c3n6MX37lcVweZ+Kcfe0vb5GU5uWBb9+NUqqPV3ht0zqC9v8GYochvB7QaM+NkPwwyjGor5d3VbvmUyz87QGO7zrB5lU7qD/eSP3xRl75wzq2rdnFO6/t7evlXfN0aBVYLaBc9j9mMVgt6NArfb000Q91tHQSCUZwuE7tFCulMB0Gu97Y14cruz5obaEDfwK8XeesE4xiiO1DR3b29fJEP7Rr/T5Mh9EjEDadJk3VzbTW+/pwZdcHHdliB8dGsX2+KhfgRAefltS0S3TN7yBrS3O2/4soIBaLX+nlXFe01hDdBuE3waq1DwafATRgAnf24epEf6S1ZvKS8eQNzGHV79cBcNMDc2lv6ezjlV0nrEaw2iDyFlgn7WOhZ4EYOEeAe1KfLk/0TzNum0J6bhorf7cWgIUfm0NjVRMSn10B0R32+Yp56pwNvwruG0C3gsrq0+Vdza75ADk5PYmioQW43C42Ld8G2Cdv7dEGRs+S9IrLz3n2w5LPKM4iLTuVgtI8WupO7TxZlsbv81P5kZl9uLLrhHIC1jl+6L2SKxFXiYobhrN/42FSs1MTx9qbO8kuyiKrIKMPV3adUG442zag1lwHId5ldc2nWCilWPTQPJxuB5FQhEgoQv3xRoaNL2XU9OF9vbxrmlIK3NPANRWMIvsfzx3gmgKu6X29PNEPKaVY8vACXB4nY+ZUMHp2BQ0nGqmcOYLhk4f29fKufSoTHEPAPbPbOXsruKajXLJ7LM40bMJgxs+vpKGqidGzKxg7dxSGQ7H0Uwsl//gKUK6p4LoBPLedOmfdM8A5XOp8LtF1cXuRU5TFxx/9CHPvmYG/LUDeoBwGDi/CMK75+4M+p9zz0PE6CL9hH7BOgrMS5Z7TtwsT/VZOURaf+Jf7OL67ikBHkLxBORSU5snF9gpQSkHSh9H+3wMRe2NKN4BnMTiG9fXyRD9kGAY3PTiXcfMrqTvWgCfZw+DKgYmieHGZOUaCZ6FdVKu72usZhSjvXX27rmvAdREgA3iS3FIB3weUckPSA+C5yS7WM7Lsk1eCHXEeLreTYROG9PUyrkvKyISUz4H3DtABMItkJ0qcl1KK/JJc8kty+3op1x2lFMpzE9o1BeIPgkoGc4BcY3vBdRMgi76jlAKzyP5HCNHvKWWAtIgS4qqhjAwwJOe7N0mOgRBCCCGEEN1IgCyEEEIIIUQ3EiALIYQQQgjRjQTIQgghhBBCdCMBshBCCCGEEN1IgCyEEEIIIUQ3EiALIYQQQgjRjQTIQgghhBBCdKO01hf/YqUageOXbzlCiLMo0Vq/5xFVcr4K0Sfe1/kKcs4K0UfOes6+pwBZCCGEEEKIa52kWAghhBBCCNGNBMhCCCGEEEJ0IwGyEEIIIYQQ3UiALIQQQgghRDcSIAshhBBCCNGNBMhCCCGEEEJ0IwGyEEIIIYQQ3UiALIQQQgghRDcSIAshhBBCCNHN/wfKTuC2Y86QIwAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# display transported samples\n", - "pl.figure(4, figsize=(10, 4))\n", - "pl.subplot(1, 3, 1)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.5)\n", - "pl.scatter(transp_Xs_emd[:, 0], transp_Xs_emd[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.title('Transported samples\\nEmdTransport')\n", - "pl.legend(loc=0)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "\n", - "pl.subplot(1, 3, 2)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.5)\n", - "pl.scatter(transp_Xs_sinkhorn[:, 0], transp_Xs_sinkhorn[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.title('Transported samples\\nSinkhornTransport')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "\n", - "pl.subplot(1, 3, 3)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.5)\n", - "pl.scatter(transp_Xs_lpl1[:, 0], transp_Xs_lpl1[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.title('Transported samples\\nSinkhornLpl1Transport')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "\n", - "pl.tight_layout()\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_otda_jcpot.ipynb b/notebooks/plot_otda_jcpot.ipynb deleted file mode 100644 index cc70d59..0000000 --- a/notebooks/plot_otda_jcpot.ipynb +++ /dev/null @@ -1,397 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# OT for multi-source target shift\n", - "\n", - "\n", - "This example introduces a target shift problem with two 2D source and 1 target domain.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Authors: Remi Flamary \n", - "# Ievgen Redko \n", - "#\n", - "# License: MIT License\n", - "\n", - "import pylab as pl\n", - "import numpy as np\n", - "import ot\n", - "from ot.datasets import make_data_classif" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 50\n", - "sigma = 0.3\n", - "np.random.seed(1985)\n", - "\n", - "p1 = .2\n", - "dec1 = [0, 2]\n", - "\n", - "p2 = .9\n", - "dec2 = [0, -2]\n", - "\n", - "pt = .4\n", - "dect = [4, 0]\n", - "\n", - "xs1, ys1 = make_data_classif('2gauss_prop', n, nz=sigma, p=p1, bias=dec1)\n", - "xs2, ys2 = make_data_classif('2gauss_prop', n + 1, nz=sigma, p=p2, bias=dec2)\n", - "xt, yt = make_data_classif('2gauss_prop', n, nz=sigma, p=pt, bias=dect)\n", - "\n", - "all_Xr = [xs1, xs2]\n", - "all_Yr = [ys1, ys2]" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "da = 1.5\n", - "\n", - "\n", - "def plot_ax(dec, name):\n", - " pl.plot([dec[0], dec[0]], [dec[1] - da, dec[1] + da], 'k', alpha=0.5)\n", - " pl.plot([dec[0] - da, dec[0] + da], [dec[1], dec[1]], 'k', alpha=0.5)\n", - " pl.text(dec[0] - .5, dec[1] + 2, name)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 1 : plots source and target samples\n", - "---------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(-1.85, 5.85, -4.167353448800062, 4.244952120369078)" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1)\n", - "pl.clf()\n", - "plot_ax(dec1, 'Source 1')\n", - "plot_ax(dec2, 'Source 2')\n", - "plot_ax(dect, 'Target')\n", - "pl.scatter(xs1[:, 0], xs1[:, 1], c=ys1, s=35, marker='x', cmap='Set1', vmax=9,\n", - " label='Source 1 ({:1.2f}, {:1.2f})'.format(1 - p1, p1))\n", - "pl.scatter(xs2[:, 0], xs2[:, 1], c=ys2, s=35, marker='+', cmap='Set1', vmax=9,\n", - " label='Source 2 ({:1.2f}, {:1.2f})'.format(1 - p2, p2))\n", - "pl.scatter(xt[:, 0], xt[:, 1], c=yt, s=35, marker='o', cmap='Set1', vmax=9,\n", - " label='Target ({:1.2f}, {:1.2f})'.format(1 - pt, pt))\n", - "pl.title('Data')\n", - "\n", - "pl.legend()\n", - "pl.axis('equal')\n", - "pl.axis('off')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Instantiate Sinkhorn transport algorithm and fit them for all source domains\n", - "----------------------------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1, metric='sqeuclidean')\n", - "\n", - "\n", - "def print_G(G, xs, ys, xt):\n", - " for i in range(G.shape[0]):\n", - " for j in range(G.shape[1]):\n", - " if G[i, j] > 5e-4:\n", - " if ys[i]:\n", - " c = 'b'\n", - " else:\n", - " c = 'r'\n", - " pl.plot([xs[i, 0], xt[j, 0]], [xs[i, 1], xt[j, 1]], c, alpha=.2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 2 : plot optimal couplings and transported samples\n", - "------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(-1.85, 5.85, -4.170525419290473, 4.251885380465107)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(2)\n", - "pl.clf()\n", - "plot_ax(dec1, 'Source 1')\n", - "plot_ax(dec2, 'Source 2')\n", - "plot_ax(dect, 'Target')\n", - "print_G(ot_sinkhorn.fit(Xs=xs1, Xt=xt).coupling_, xs1, ys1, xt)\n", - "print_G(ot_sinkhorn.fit(Xs=xs2, Xt=xt).coupling_, xs2, ys2, xt)\n", - "pl.scatter(xs1[:, 0], xs1[:, 1], c=ys1, s=35, marker='x', cmap='Set1', vmax=9)\n", - "pl.scatter(xs2[:, 0], xs2[:, 1], c=ys2, s=35, marker='+', cmap='Set1', vmax=9)\n", - "pl.scatter(xt[:, 0], xt[:, 1], c=yt, s=35, marker='o', cmap='Set1', vmax=9)\n", - "\n", - "pl.plot([], [], 'r', alpha=.2, label='Mass from Class 1')\n", - "pl.plot([], [], 'b', alpha=.2, label='Mass from Class 2')\n", - "\n", - "pl.title('Independent OT')\n", - "\n", - "pl.legend()\n", - "pl.axis('equal')\n", - "pl.axis('off')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Instantiate JCPOT adaptation algorithm and fit it\n", - "----------------------------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(-1.85, 5.85, -4.170525419290473, 4.251885380465107)" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "otda = ot.da.JCPOTTransport(reg_e=1, max_iter=1000, metric='sqeuclidean', tol=1e-9, verbose=True, log=True)\n", - "otda.fit(all_Xr, all_Yr, xt)\n", - "\n", - "ws1 = otda.proportions_.dot(otda.log_['D2'][0])\n", - "ws2 = otda.proportions_.dot(otda.log_['D2'][1])\n", - "\n", - "pl.figure(3)\n", - "pl.clf()\n", - "plot_ax(dec1, 'Source 1')\n", - "plot_ax(dec2, 'Source 2')\n", - "plot_ax(dect, 'Target')\n", - "print_G(ot.bregman.sinkhorn(ws1, [], otda.log_['M'][0], reg=1e-1), xs1, ys1, xt)\n", - "print_G(ot.bregman.sinkhorn(ws2, [], otda.log_['M'][1], reg=1e-1), xs2, ys2, xt)\n", - "pl.scatter(xs1[:, 0], xs1[:, 1], c=ys1, s=35, marker='x', cmap='Set1', vmax=9)\n", - "pl.scatter(xs2[:, 0], xs2[:, 1], c=ys2, s=35, marker='+', cmap='Set1', vmax=9)\n", - "pl.scatter(xt[:, 0], xt[:, 1], c=yt, s=35, marker='o', cmap='Set1', vmax=9)\n", - "\n", - "pl.plot([], [], 'r', alpha=.2, label='Mass from Class 1')\n", - "pl.plot([], [], 'b', alpha=.2, label='Mass from Class 2')\n", - "\n", - "pl.title('OT with prop estimation ({:1.3f},{:1.3f})'.format(otda.proportions_[0], otda.proportions_[1]))\n", - "\n", - "pl.legend()\n", - "pl.axis('equal')\n", - "pl.axis('off')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Run oracle transport algorithm with known proportions\n", - "----------------------------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "h_res = np.array([1 - pt, pt])\n", - "\n", - "ws1 = h_res.dot(otda.log_['D2'][0])\n", - "ws2 = h_res.dot(otda.log_['D2'][1])\n", - "\n", - "pl.figure(4)\n", - "pl.clf()\n", - "plot_ax(dec1, 'Source 1')\n", - "plot_ax(dec2, 'Source 2')\n", - "plot_ax(dect, 'Target')\n", - "print_G(ot.bregman.sinkhorn(ws1, [], otda.log_['M'][0], reg=1e-1), xs1, ys1, xt)\n", - "print_G(ot.bregman.sinkhorn(ws2, [], otda.log_['M'][1], reg=1e-1), xs2, ys2, xt)\n", - "pl.scatter(xs1[:, 0], xs1[:, 1], c=ys1, s=35, marker='x', cmap='Set1', vmax=9)\n", - "pl.scatter(xs2[:, 0], xs2[:, 1], c=ys2, s=35, marker='+', cmap='Set1', vmax=9)\n", - "pl.scatter(xt[:, 0], xt[:, 1], c=yt, s=35, marker='o', cmap='Set1', vmax=9)\n", - "\n", - "pl.plot([], [], 'r', alpha=.2, label='Mass from Class 1')\n", - "pl.plot([], [], 'b', alpha=.2, label='Mass from Class 2')\n", - "\n", - "pl.title('OT with known proportion ({:1.1f},{:1.1f})'.format(h_res[0], h_res[1]))\n", - "\n", - "pl.legend()\n", - "pl.axis('equal')\n", - "pl.axis('off')\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_otda_laplacian.ipynb b/notebooks/plot_otda_laplacian.ipynb deleted file mode 100644 index 07e4653..0000000 --- a/notebooks/plot_otda_laplacian.ipynb +++ /dev/null @@ -1,252 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# OT with Laplacian regularization for domain adaptation\n", - "\n", - "\n", - "This example introduces a domain adaptation in a 2D setting and OTDA\n", - "approach with Laplacian regularization.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Authors: Ievgen Redko \n", - "\n", - "# License: MIT License\n", - "\n", - "import matplotlib.pylab as pl\n", - "import ot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n_source_samples = 150\n", - "n_target_samples = 150\n", - "\n", - "Xs, ys = ot.datasets.make_data_classif('3gauss', n_source_samples)\n", - "Xt, yt = ot.datasets.make_data_classif('3gauss2', n_target_samples)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Instantiate the different transport algorithms and fit them\n", - "-----------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# EMD Transport\n", - "ot_emd = ot.da.EMDTransport()\n", - "ot_emd.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# Sinkhorn Transport\n", - "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=.01)\n", - "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# EMD Transport with Laplacian regularization\n", - "ot_emd_laplace = ot.da.EMDLaplaceTransport(reg_lap=100, reg_src=1)\n", - "ot_emd_laplace.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# transport source samples onto target samples\n", - "transp_Xs_emd = ot_emd.transform(Xs=Xs)\n", - "transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=Xs)\n", - "transp_Xs_emd_laplace = ot_emd_laplace.transform(Xs=Xs)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 1 : plots source and target samples\n", - "---------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(10, 5))\n", - "pl.subplot(1, 2, 1)\n", - "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.legend(loc=0)\n", - "pl.title('Source samples')\n", - "\n", - "pl.subplot(1, 2, 2)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.legend(loc=0)\n", - "pl.title('Target samples')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 2 : plot optimal couplings and transported samples\n", - "------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "param_img = {'interpolation': 'nearest'}\n", - "\n", - "pl.figure(2, figsize=(15, 8))\n", - "pl.subplot(2, 3, 1)\n", - "pl.imshow(ot_emd.coupling_, **param_img)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nEMDTransport')\n", - "\n", - "pl.figure(2, figsize=(15, 8))\n", - "pl.subplot(2, 3, 2)\n", - "pl.imshow(ot_sinkhorn.coupling_, **param_img)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nSinkhornTransport')\n", - "\n", - "pl.subplot(2, 3, 3)\n", - "pl.imshow(ot_emd_laplace.coupling_, **param_img)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nEMDLaplaceTransport')\n", - "\n", - "pl.subplot(2, 3, 4)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.3)\n", - "pl.scatter(transp_Xs_emd[:, 0], transp_Xs_emd[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Transported samples\\nEmdTransport')\n", - "pl.legend(loc=\"lower left\")\n", - "\n", - "pl.subplot(2, 3, 5)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.3)\n", - "pl.scatter(transp_Xs_sinkhorn[:, 0], transp_Xs_sinkhorn[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Transported samples\\nSinkhornTransport')\n", - "\n", - "pl.subplot(2, 3, 6)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.3)\n", - "pl.scatter(transp_Xs_emd_laplace[:, 0], transp_Xs_emd_laplace[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Transported samples\\nEMDLaplaceTransport')\n", - "pl.tight_layout()\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_otda_linear_mapping.ipynb b/notebooks/plot_otda_linear_mapping.ipynb deleted file mode 100644 index e1e9c17..0000000 --- a/notebooks/plot_otda_linear_mapping.ipynb +++ /dev/null @@ -1,343 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# Linear OT mapping estimation\n", - "\n", - "\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Remi Flamary \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import pylab as pl\n", - "import ot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 1000\n", - "d = 2\n", - "sigma = .1\n", - "\n", - "# source samples\n", - "angles = np.random.rand(n, 1) * 2 * np.pi\n", - "xs = np.concatenate((np.sin(angles), np.cos(angles)),\n", - " axis=1) + sigma * np.random.randn(n, 2)\n", - "xs[:n // 2, 1] += 2\n", - "\n", - "\n", - "# target samples\n", - "anglet = np.random.rand(n, 1) * 2 * np.pi\n", - "xt = np.concatenate((np.sin(anglet), np.cos(anglet)),\n", - " axis=1) + sigma * np.random.randn(n, 2)\n", - "xt[:n // 2, 1] += 2\n", - "\n", - "\n", - "A = np.array([[1.5, .7], [.7, 1.5]])\n", - "b = np.array([[4, 2]])\n", - "xt = xt.dot(A) + b" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, (5, 5))\n", - "pl.plot(xs[:, 0], xs[:, 1], '+')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'o')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Estimate linear mapping and transport\n", - "-------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "Ae, be = ot.da.OT_mapping_linear(xs, xt)\n", - "\n", - "xst = xs.dot(Ae) + be" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot transported samples\n", - "------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, (5, 5))\n", - "pl.clf()\n", - "pl.plot(xs[:, 0], xs[:, 1], '+')\n", - "pl.plot(xt[:, 0], xt[:, 1], 'o')\n", - "pl.plot(xst[:, 0], xst[:, 1], '+')\n", - "\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Load image data\n", - "---------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def im2mat(I):\n", - " \"\"\"Converts and image to matrix (one pixel per line)\"\"\"\n", - " return I.reshape((I.shape[0] * I.shape[1], I.shape[2]))\n", - "\n", - "\n", - "def mat2im(X, shape):\n", - " \"\"\"Converts back a matrix to an image\"\"\"\n", - " return X.reshape(shape)\n", - "\n", - "\n", - "def minmax(I):\n", - " return np.clip(I, 0, 1)\n", - "\n", - "\n", - "# Loading images\n", - "I1 = pl.imread('../data/ocean_day.jpg').astype(np.float64) / 256\n", - "I2 = pl.imread('../data/ocean_sunset.jpg').astype(np.float64) / 256\n", - "\n", - "\n", - "X1 = im2mat(I1)\n", - "X2 = im2mat(I2)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Estimate mapping and adapt\n", - "----------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "mapping = ot.da.LinearTransport()\n", - "\n", - "mapping.fit(Xs=X1, Xt=X2)\n", - "\n", - "\n", - "xst = mapping.transform(Xs=X1)\n", - "xts = mapping.inverse_transform(Xt=X2)\n", - "\n", - "I1t = minmax(mat2im(xst, I1.shape))\n", - "I2t = minmax(mat2im(xts, I2.shape))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot transformed images\n", - "-----------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Inverse mapping Im. 2')" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(2, figsize=(10, 7))\n", - "\n", - "pl.subplot(2, 2, 1)\n", - "pl.imshow(I1)\n", - "pl.axis('off')\n", - "pl.title('Im. 1')\n", - "\n", - "pl.subplot(2, 2, 2)\n", - "pl.imshow(I2)\n", - "pl.axis('off')\n", - "pl.title('Im. 2')\n", - "\n", - "pl.subplot(2, 2, 3)\n", - "pl.imshow(I1t)\n", - "pl.axis('off')\n", - "pl.title('Mapping Im. 1')\n", - "\n", - "pl.subplot(2, 2, 4)\n", - "pl.imshow(I2t)\n", - "pl.axis('off')\n", - "pl.title('Inverse mapping Im. 2')" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_otda_mapping.ipynb b/notebooks/plot_otda_mapping.ipynb deleted file mode 100644 index c604278..0000000 --- a/notebooks/plot_otda_mapping.ipynb +++ /dev/null @@ -1,290 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# OT mapping estimation for domain adaptation\n", - "\n", - "\n", - "This example presents how to use MappingTransport to estimate at the same\n", - "time both the coupling transport and approximate the transport map with either\n", - "a linear or a kernelized mapping as introduced in [8].\n", - "\n", - "[8] M. Perrot, N. Courty, R. Flamary, A. Habrard,\n", - " \"Mapping estimation for discrete optimal transport\",\n", - " Neural Information Processing Systems (NIPS), 2016.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Authors: Remi Flamary \n", - "# Stanislas Chambon \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n_source_samples = 100\n", - "n_target_samples = 100\n", - "theta = 2 * np.pi / 20\n", - "noise_level = 0.1\n", - "\n", - "Xs, ys = ot.datasets.make_data_classif(\n", - " 'gaussrot', n_source_samples, nz=noise_level)\n", - "Xs_new, _ = ot.datasets.make_data_classif(\n", - " 'gaussrot', n_source_samples, nz=noise_level)\n", - "Xt, yt = ot.datasets.make_data_classif(\n", - " 'gaussrot', n_target_samples, theta=theta, nz=noise_level)\n", - "\n", - "# one of the target mode changes its variance (no linear mapping)\n", - "Xt[yt == 2] *= 3\n", - "Xt = Xt + 4" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot data\n", - "---------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Source and target distributions')" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, (10, 5))\n", - "pl.clf()\n", - "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n", - "pl.legend(loc=0)\n", - "pl.title('Source and target distributions')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Instantiate the different transport algorithms and fit them\n", - "-----------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It. |Loss |Delta loss\n", - "--------------------------------\n", - " 0|4.130455e+03|0.000000e+00\n", - " 1|4.124174e+03|-1.520585e-03\n", - " 2|4.123972e+03|-4.893906e-05\n", - " 3|4.123892e+03|-1.957570e-05\n", - " 4|4.123852e+03|-9.690449e-06\n", - "It. |Loss |Delta loss\n", - "--------------------------------\n", - " 0|4.155681e+02|0.000000e+00\n", - " 1|4.121954e+02|-8.115904e-03\n", - " 2|4.120356e+02|-3.877130e-04\n", - " 3|4.119541e+02|-1.978089e-04\n", - " 4|4.118961e+02|-1.406833e-04\n", - " 5|4.118524e+02|-1.061404e-04\n", - " 6|4.118195e+02|-7.984227e-05\n", - " 7|4.117940e+02|-6.188410e-05\n", - " 8|4.117747e+02|-4.692100e-05\n", - " 9|4.117580e+02|-4.045536e-05\n", - " 10|4.117441e+02|-3.393923e-05\n" - ] - } - ], - "source": [ - "# MappingTransport with linear kernel\n", - "ot_mapping_linear = ot.da.MappingTransport(\n", - " kernel=\"linear\", mu=1e0, eta=1e-8, bias=True,\n", - " max_iter=20, verbose=True)\n", - "\n", - "ot_mapping_linear.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# for original source samples, transform applies barycentric mapping\n", - "transp_Xs_linear = ot_mapping_linear.transform(Xs=Xs)\n", - "\n", - "# for out of source samples, transform applies the linear mapping\n", - "transp_Xs_linear_new = ot_mapping_linear.transform(Xs=Xs_new)\n", - "\n", - "\n", - "# MappingTransport with gaussian kernel\n", - "ot_mapping_gaussian = ot.da.MappingTransport(\n", - " kernel=\"gaussian\", eta=1e-5, mu=1e-1, bias=True, sigma=1,\n", - " max_iter=10, verbose=True)\n", - "ot_mapping_gaussian.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "# for original source samples, transform applies barycentric mapping\n", - "transp_Xs_gaussian = ot_mapping_gaussian.transform(Xs=Xs)\n", - "\n", - "# for out of source samples, transform applies the gaussian mapping\n", - "transp_Xs_gaussian_new = ot_mapping_gaussian.transform(Xs=Xs_new)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot transported samples\n", - "------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(2)\n", - "pl.clf()\n", - "pl.subplot(2, 2, 1)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=.2)\n", - "pl.scatter(transp_Xs_linear[:, 0], transp_Xs_linear[:, 1], c=ys, marker='+',\n", - " label='Mapped source samples')\n", - "pl.title(\"Bary. mapping (linear)\")\n", - "pl.legend(loc=0)\n", - "\n", - "pl.subplot(2, 2, 2)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=.2)\n", - "pl.scatter(transp_Xs_linear_new[:, 0], transp_Xs_linear_new[:, 1],\n", - " c=ys, marker='+', label='Learned mapping')\n", - "pl.title(\"Estim. mapping (linear)\")\n", - "\n", - "pl.subplot(2, 2, 3)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=.2)\n", - "pl.scatter(transp_Xs_gaussian[:, 0], transp_Xs_gaussian[:, 1], c=ys,\n", - " marker='+', label='barycentric mapping')\n", - "pl.title(\"Bary. mapping (kernel)\")\n", - "\n", - "pl.subplot(2, 2, 4)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=.2)\n", - "pl.scatter(transp_Xs_gaussian_new[:, 0], transp_Xs_gaussian_new[:, 1], c=ys,\n", - " marker='+', label='Learned mapping')\n", - "pl.title(\"Estim. mapping (kernel)\")\n", - "pl.tight_layout()\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_otda_mapping_colors_images.ipynb b/notebooks/plot_otda_mapping_colors_images.ipynb deleted file mode 100644 index 5313e3b..0000000 --- a/notebooks/plot_otda_mapping_colors_images.ipynb +++ /dev/null @@ -1,368 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# OT for image color adaptation with mapping estimation\n", - "\n", - "\n", - "OT for domain adaptation with image color adaptation [6] with mapping\n", - "estimation [8].\n", - "\n", - "[6] Ferradans, S., Papadakis, N., Peyre, G., & Aujol, J. F. (2014). Regularized\n", - " discrete optimal transport. SIAM Journal on Imaging Sciences, 7(3),\n", - " 1853-1882.\n", - "[8] M. Perrot, N. Courty, R. Flamary, A. Habrard, \"Mapping estimation for\n", - " discrete optimal transport\", Neural Information Processing Systems (NIPS),\n", - " 2016.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Authors: Remi Flamary \n", - "# Stanislas Chambon \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot\n", - "\n", - "r = np.random.RandomState(42)\n", - "\n", - "\n", - "def im2mat(I):\n", - " \"\"\"Converts and image to matrix (one pixel per line)\"\"\"\n", - " return I.reshape((I.shape[0] * I.shape[1], I.shape[2]))\n", - "\n", - "\n", - "def mat2im(X, shape):\n", - " \"\"\"Converts back a matrix to an image\"\"\"\n", - " return X.reshape(shape)\n", - "\n", - "\n", - "def minmax(I):\n", - " return np.clip(I, 0, 1)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Loading images\n", - "I1 = pl.imread('../data/ocean_day.jpg').astype(np.float64) / 256\n", - "I2 = pl.imread('../data/ocean_sunset.jpg').astype(np.float64) / 256\n", - "\n", - "\n", - "X1 = im2mat(I1)\n", - "X2 = im2mat(I2)\n", - "\n", - "# training samples\n", - "nb = 1000\n", - "idx1 = r.randint(X1.shape[0], size=(nb,))\n", - "idx2 = r.randint(X2.shape[0], size=(nb,))\n", - "\n", - "Xs = X1[idx1, :]\n", - "Xt = X2[idx2, :]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Domain adaptation for pixel distribution transfer\n", - "-------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "It. |Loss |Delta loss\n", - "--------------------------------\n", - " 0|3.680534e+02|0.000000e+00\n", - " 1|3.592501e+02|-2.391854e-02\n", - " 2|3.590682e+02|-5.061555e-04\n", - " 3|3.589745e+02|-2.610227e-04\n", - " 4|3.589167e+02|-1.611644e-04\n", - " 5|3.588768e+02|-1.109242e-04\n", - " 6|3.588482e+02|-7.972733e-05\n", - " 7|3.588261e+02|-6.166174e-05\n", - " 8|3.588086e+02|-4.871697e-05\n", - " 9|3.587946e+02|-3.919056e-05\n", - " 10|3.587830e+02|-3.228124e-05\n", - " 11|3.587731e+02|-2.744744e-05\n", - " 12|3.587648e+02|-2.334451e-05\n", - " 13|3.587576e+02|-1.995629e-05\n", - " 14|3.587513e+02|-1.761058e-05\n", - " 15|3.587457e+02|-1.542568e-05\n", - " 16|3.587408e+02|-1.366315e-05\n", - " 17|3.587365e+02|-1.221732e-05\n", - " 18|3.587325e+02|-1.102488e-05\n", - " 19|3.587303e+02|-6.062107e-06\n", - "It. |Loss |Delta loss\n", - "--------------------------------\n", - " 0|3.784871e+02|0.000000e+00\n", - " 1|3.646491e+02|-3.656142e-02\n", - " 2|3.642975e+02|-9.642655e-04\n", - " 3|3.641626e+02|-3.702413e-04\n", - " 4|3.640888e+02|-2.026301e-04\n", - " 5|3.640419e+02|-1.289607e-04\n", - " 6|3.640097e+02|-8.831646e-05\n", - " 7|3.639861e+02|-6.487612e-05\n", - " 8|3.639679e+02|-4.994063e-05\n", - " 9|3.639536e+02|-3.941436e-05\n", - " 10|3.639419e+02|-3.209753e-05\n" - ] - } - ], - "source": [ - "# EMDTransport\n", - "ot_emd = ot.da.EMDTransport()\n", - "ot_emd.fit(Xs=Xs, Xt=Xt)\n", - "transp_Xs_emd = ot_emd.transform(Xs=X1)\n", - "Image_emd = minmax(mat2im(transp_Xs_emd, I1.shape))\n", - "\n", - "# SinkhornTransport\n", - "ot_sinkhorn = ot.da.SinkhornTransport(reg_e=1e-1)\n", - "ot_sinkhorn.fit(Xs=Xs, Xt=Xt)\n", - "transp_Xs_sinkhorn = ot_sinkhorn.transform(Xs=X1)\n", - "Image_sinkhorn = minmax(mat2im(transp_Xs_sinkhorn, I1.shape))\n", - "\n", - "ot_mapping_linear = ot.da.MappingTransport(\n", - " mu=1e0, eta=1e-8, bias=True, max_iter=20, verbose=True)\n", - "ot_mapping_linear.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "X1tl = ot_mapping_linear.transform(Xs=X1)\n", - "Image_mapping_linear = minmax(mat2im(X1tl, I1.shape))\n", - "\n", - "ot_mapping_gaussian = ot.da.MappingTransport(\n", - " mu=1e0, eta=1e-2, sigma=1, bias=False, max_iter=10, verbose=True)\n", - "ot_mapping_gaussian.fit(Xs=Xs, Xt=Xt)\n", - "\n", - "X1tn = ot_mapping_gaussian.transform(Xs=X1) # use the estimated mapping\n", - "Image_mapping_gaussian = minmax(mat2im(X1tn, I1.shape))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot original images\n", - "--------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(6.4, 3))\n", - "pl.subplot(1, 2, 1)\n", - "pl.imshow(I1)\n", - "pl.axis('off')\n", - "pl.title('Image 1')\n", - "\n", - "pl.subplot(1, 2, 2)\n", - "pl.imshow(I2)\n", - "pl.axis('off')\n", - "pl.title('Image 2')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot pixel values distribution\n", - "------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(2, figsize=(6.4, 5))\n", - "\n", - "pl.subplot(1, 2, 1)\n", - "pl.scatter(Xs[:, 0], Xs[:, 2], c=Xs)\n", - "pl.axis([0, 1, 0, 1])\n", - "pl.xlabel('Red')\n", - "pl.ylabel('Blue')\n", - "pl.title('Image 1')\n", - "\n", - "pl.subplot(1, 2, 2)\n", - "pl.scatter(Xt[:, 0], Xt[:, 2], c=Xt)\n", - "pl.axis([0, 1, 0, 1])\n", - "pl.xlabel('Red')\n", - "pl.ylabel('Blue')\n", - "pl.title('Image 2')\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot transformed images\n", - "-----------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(2, figsize=(10, 5))\n", - "\n", - "pl.subplot(2, 3, 1)\n", - "pl.imshow(I1)\n", - "pl.axis('off')\n", - "pl.title('Im. 1')\n", - "\n", - "pl.subplot(2, 3, 4)\n", - "pl.imshow(I2)\n", - "pl.axis('off')\n", - "pl.title('Im. 2')\n", - "\n", - "pl.subplot(2, 3, 2)\n", - "pl.imshow(Image_emd)\n", - "pl.axis('off')\n", - "pl.title('EmdTransport')\n", - "\n", - "pl.subplot(2, 3, 5)\n", - "pl.imshow(Image_sinkhorn)\n", - "pl.axis('off')\n", - "pl.title('SinkhornTransport')\n", - "\n", - "pl.subplot(2, 3, 3)\n", - "pl.imshow(Image_mapping_linear)\n", - "pl.axis('off')\n", - "pl.title('MappingTransport (linear)')\n", - "\n", - "pl.subplot(2, 3, 6)\n", - "pl.imshow(Image_mapping_gaussian)\n", - "pl.axis('off')\n", - "pl.title('MappingTransport (gaussian)')\n", - "pl.tight_layout()\n", - "\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_otda_semi_supervised.ipynb b/notebooks/plot_otda_semi_supervised.ipynb deleted file mode 100644 index 6386840..0000000 --- a/notebooks/plot_otda_semi_supervised.ipynb +++ /dev/null @@ -1,294 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# OTDA unsupervised vs semi-supervised setting\n", - "\n", - "\n", - "This example introduces a semi supervised domain adaptation in a 2D setting.\n", - "It explicits the problem of semi supervised domain adaptation and introduces\n", - "some optimal transport approaches to solve it.\n", - "\n", - "Quantities such as optimal couplings, greater coupling coefficients and\n", - "transported samples are represented in order to give a visual understanding\n", - "of what the transport methods are doing.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Authors: Remi Flamary \n", - "# Stanislas Chambon \n", - "#\n", - "# License: MIT License\n", - "\n", - "import matplotlib.pylab as pl\n", - "import ot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n_samples_source = 150\n", - "n_samples_target = 150\n", - "\n", - "Xs, ys = ot.datasets.make_data_classif('3gauss', n_samples_source)\n", - "Xt, yt = ot.datasets.make_data_classif('3gauss2', n_samples_target)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Transport source samples onto target samples\n", - "--------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# unsupervised domain adaptation\n", - "ot_sinkhorn_un = ot.da.SinkhornTransport(reg_e=1e-1)\n", - "ot_sinkhorn_un.fit(Xs=Xs, Xt=Xt)\n", - "transp_Xs_sinkhorn_un = ot_sinkhorn_un.transform(Xs=Xs)\n", - "\n", - "# semi-supervised domain adaptation\n", - "ot_sinkhorn_semi = ot.da.SinkhornTransport(reg_e=1e-1)\n", - "ot_sinkhorn_semi.fit(Xs=Xs, Xt=Xt, ys=ys, yt=yt)\n", - "transp_Xs_sinkhorn_semi = ot_sinkhorn_semi.transform(Xs=Xs)\n", - "\n", - "# semi supervised DA uses available labaled target samples to modify the cost\n", - "# matrix involved in the OT problem. The cost of transporting a source sample\n", - "# of class A onto a target sample of class B != A is set to infinite, or a\n", - "# very large value\n", - "\n", - "# note that in the present case we consider that all the target samples are\n", - "# labeled. For daily applications, some target sample might not have labels,\n", - "# in this case the element of yt corresponding to these samples should be\n", - "# filled with -1.\n", - "\n", - "# Warning: we recall that -1 cannot be used as a class label" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 1 : plots source and target samples + matrix of pairwise distance\n", - "---------------------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(10, 10))\n", - "pl.subplot(2, 2, 1)\n", - "pl.scatter(Xs[:, 0], Xs[:, 1], c=ys, marker='+', label='Source samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.legend(loc=0)\n", - "pl.title('Source samples')\n", - "\n", - "pl.subplot(2, 2, 2)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o', label='Target samples')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.legend(loc=0)\n", - "pl.title('Target samples')\n", - "\n", - "pl.subplot(2, 2, 3)\n", - "pl.imshow(ot_sinkhorn_un.cost_, interpolation='nearest')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Cost matrix - unsupervised DA')\n", - "\n", - "pl.subplot(2, 2, 4)\n", - "pl.imshow(ot_sinkhorn_semi.cost_, interpolation='nearest')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Cost matrix - semisupervised DA')\n", - "\n", - "pl.tight_layout()\n", - "\n", - "# the optimal coupling in the semi-supervised DA case will exhibit \" shape\n", - "# similar\" to the cost matrix, (block diagonal matrix)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 2 : plots optimal couplings for the different methods\n", - "---------------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(2, figsize=(8, 4))\n", - "\n", - "pl.subplot(1, 2, 1)\n", - "pl.imshow(ot_sinkhorn_un.coupling_, interpolation='nearest')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nUnsupervised DA')\n", - "\n", - "pl.subplot(1, 2, 2)\n", - "pl.imshow(ot_sinkhorn_semi.coupling_, interpolation='nearest')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "pl.title('Optimal coupling\\nSemi-supervised DA')\n", - "\n", - "pl.tight_layout()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fig 3 : plot transported samples\n", - "--------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# display transported samples\n", - "pl.figure(4, figsize=(8, 4))\n", - "pl.subplot(1, 2, 1)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.5)\n", - "pl.scatter(transp_Xs_sinkhorn_un[:, 0], transp_Xs_sinkhorn_un[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.title('Transported samples\\nEmdTransport')\n", - "pl.legend(loc=0)\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "\n", - "pl.subplot(1, 2, 2)\n", - "pl.scatter(Xt[:, 0], Xt[:, 1], c=yt, marker='o',\n", - " label='Target samples', alpha=0.5)\n", - "pl.scatter(transp_Xs_sinkhorn_semi[:, 0], transp_Xs_sinkhorn_semi[:, 1], c=ys,\n", - " marker='+', label='Transp samples', s=30)\n", - "pl.title('Transported samples\\nSinkhornTransport')\n", - "pl.xticks([])\n", - "pl.yticks([])\n", - "\n", - "pl.tight_layout()\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_partial_wass_and_gromov.ipynb b/notebooks/plot_partial_wass_and_gromov.ipynb deleted file mode 100644 index 6bf0bc6..0000000 --- a/notebooks/plot_partial_wass_and_gromov.ipynb +++ /dev/null @@ -1,350 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# Partial Wasserstein and Gromov-Wasserstein example\n", - "\n", - "\n", - "This example is designed to show how to use the Partial (Gromov-)Wassertsein\n", - "distance computation in POT.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Laetitia Chapel \n", - "# License: MIT License\n", - "\n", - "# necessary for 3d plot even if not used\n", - "from mpl_toolkits.mplot3d import Axes3D # noqa\n", - "import scipy as sp\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Sample two 2D Gaussian distributions and plot them\n", - "--------------------------------------------------\n", - "\n", - "For demonstration purpose, we sample two Gaussian distributions in 2-d\n", - "spaces and add some random noise.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "n_samples = 20 # nb samples (gaussian)\n", - "n_noise = 20 # nb of samples (noise)\n", - "\n", - "mu = np.array([0, 0])\n", - "cov = np.array([[1, 0], [0, 2]])\n", - "\n", - "xs = ot.datasets.make_2D_samples_gauss(n_samples, mu, cov)\n", - "xs = np.append(xs, (np.random.rand(n_noise, 2) + 1) * 4).reshape((-1, 2))\n", - "xt = ot.datasets.make_2D_samples_gauss(n_samples, mu, cov)\n", - "xt = np.append(xt, (np.random.rand(n_noise, 2) + 1) * -3).reshape((-1, 2))\n", - "\n", - "M = sp.spatial.distance.cdist(xs, xt)\n", - "\n", - "fig = pl.figure()\n", - "ax1 = fig.add_subplot(131)\n", - "ax1.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "ax2 = fig.add_subplot(132)\n", - "ax2.scatter(xt[:, 0], xt[:, 1], color='r')\n", - "ax3 = fig.add_subplot(133)\n", - "ax3.imshow(M)\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute partial Wasserstein plans and distance\n", - "----------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Partial Wasserstein distance (m = 0.5): 0.45151590745848863\n", - "Entropic partial Wasserstein distance (m = 0.5): 0.46654948274375097\n" - ] - }, - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "p = ot.unif(n_samples + n_noise)\n", - "q = ot.unif(n_samples + n_noise)\n", - "\n", - "w0, log0 = ot.partial.partial_wasserstein(p, q, M, m=0.5, log=True)\n", - "w, log = ot.partial.entropic_partial_wasserstein(p, q, M, reg=0.1, m=0.5,\n", - " log=True)\n", - "\n", - "print('Partial Wasserstein distance (m = 0.5): ' + str(log0['partial_w_dist']))\n", - "print('Entropic partial Wasserstein distance (m = 0.5): ' +\n", - " str(log['partial_w_dist']))\n", - "\n", - "pl.figure(1, (10, 5))\n", - "pl.subplot(1, 2, 1)\n", - "pl.imshow(w0, cmap='jet')\n", - "pl.title('Partial Wasserstein')\n", - "pl.subplot(1, 2, 2)\n", - "pl.imshow(w, cmap='jet')\n", - "pl.title('Entropic partial Wasserstein')\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Sample one 2D and 3D Gaussian distributions and plot them\n", - "---------------------------------------------------------\n", - "\n", - "The Gromov-Wasserstein distance allows to compute distances with samples that\n", - "do not belong to the same metric space. For demonstration purpose, we sample\n", - "two Gaussian distributions in 2- and 3-dimensional spaces.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "n_samples = 20 # nb samples\n", - "n_noise = 10 # nb of samples (noise)\n", - "\n", - "p = ot.unif(n_samples + n_noise)\n", - "q = ot.unif(n_samples + n_noise)\n", - "\n", - "mu_s = np.array([0, 0])\n", - "cov_s = np.array([[1, 0], [0, 1]])\n", - "\n", - "mu_t = np.array([0, 0, 0])\n", - "cov_t = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]])\n", - "\n", - "\n", - "xs = ot.datasets.make_2D_samples_gauss(n_samples, mu_s, cov_s)\n", - "xs = np.concatenate((xs, ((np.random.rand(n_noise, 2) + 1) * 4)), axis=0)\n", - "P = sp.linalg.sqrtm(cov_t)\n", - "xt = np.random.randn(n_samples, 3).dot(P) + mu_t\n", - "xt = np.concatenate((xt, ((np.random.rand(n_noise, 3) + 1) * 10)), axis=0)\n", - "\n", - "fig = pl.figure()\n", - "ax1 = fig.add_subplot(121)\n", - "ax1.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n", - "ax2 = fig.add_subplot(122, projection='3d')\n", - "ax2.scatter(xt[:, 0], xt[:, 1], xt[:, 2], color='r')\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compute partial Gromov-Wasserstein plans and distance\n", - "-----------------------------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "-----m = 1\n", - "Wasserstein distance (m = 1): 62.612867557378095\n", - "Entropic Wasserstein distance (m = 1): 64.09799387131392\n" - ] - }, - { - "data": { - "image/png": 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\n", 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- "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "C1 = sp.spatial.distance.cdist(xs, xs)\n", - "C2 = sp.spatial.distance.cdist(xt, xt)\n", - "\n", - "# transport 100% of the mass\n", - "print('-----m = 1')\n", - "m = 1\n", - "res0, log0 = ot.partial.partial_gromov_wasserstein(C1, C2, p, q, m=m, log=True)\n", - "res, log = ot.partial.entropic_partial_gromov_wasserstein(C1, C2, p, q, 10,\n", - " m=m, log=True)\n", - "\n", - "print('Wasserstein distance (m = 1): ' + str(log0['partial_gw_dist']))\n", - "print('Entropic Wasserstein distance (m = 1): ' + str(log['partial_gw_dist']))\n", - "\n", - "pl.figure(1, (10, 5))\n", - "pl.title(\"mass to be transported m = 1\")\n", - "pl.subplot(1, 2, 1)\n", - "pl.imshow(res0, cmap='jet')\n", - "pl.title('Wasserstein')\n", - "pl.subplot(1, 2, 2)\n", - "pl.imshow(res, cmap='jet')\n", - "pl.title('Entropic Wasserstein')\n", - "pl.show()\n", - "\n", - "# transport 2/3 of the mass\n", - "print('-----m = 2/3')\n", - "m = 2 / 3\n", - "res0, log0 = ot.partial.partial_gromov_wasserstein(C1, C2, p, q, m=m, log=True)\n", - "res, log = ot.partial.entropic_partial_gromov_wasserstein(C1, C2, p, q, 10,\n", - " m=m, log=True)\n", - "\n", - "print('Partial Wasserstein distance (m = 2/3): ' +\n", - " str(log0['partial_gw_dist']))\n", - "print('Entropic partial Wasserstein distance (m = 2/3): ' +\n", - " str(log['partial_gw_dist']))\n", - "\n", - "pl.figure(1, (10, 5))\n", - "pl.title(\"mass to be transported m = 2/3\")\n", - "pl.subplot(1, 2, 1)\n", - "pl.imshow(res0, cmap='jet')\n", - "pl.title('Partial Wasserstein')\n", - "pl.subplot(1, 2, 2)\n", - "pl.imshow(res, cmap='jet')\n", - "pl.title('Entropic partial Wasserstein')\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_screenkhorn_1D.ipynb b/notebooks/plot_screenkhorn_1D.ipynb deleted file mode 100644 index 0bd4aad..0000000 --- a/notebooks/plot_screenkhorn_1D.ipynb +++ /dev/null @@ -1,213 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# 1D Screened optimal transport\n", - "\n", - "\n", - "This example illustrates the computation of Screenkhorn:\n", - "Screening Sinkhorn Algorithm for Optimal transport.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Mokhtar Z. Alaya \n", - "#\n", - "# License: MIT License\n", - "\n", - "import numpy as np\n", - "import matplotlib.pylab as pl\n", - "import ot.plot\n", - "from ot.datasets import make_1D_gauss as gauss\n", - "from ot.bregman import screenkhorn" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Generate data\n", - "-------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n = 100 # nb bins\n", - "\n", - "# bin positions\n", - "x = np.arange(n, dtype=np.float64)\n", - "\n", - "# Gaussian distributions\n", - "a = gauss(n, m=20, s=5) # m= mean, s= std\n", - "b = gauss(n, m=60, s=10)\n", - "\n", - "# loss matrix\n", - "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)))\n", - "M /= M.max()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot distributions and loss matrix\n", - "----------------------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(1, figsize=(6.4, 3))\n", - "pl.plot(x, a, 'b', label='Source distribution')\n", - "pl.plot(x, b, 'r', label='Target distribution')\n", - "pl.legend()\n", - "\n", - "# plot distributions and loss matrix\n", - "\n", - "pl.figure(2, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, M, 'Cost matrix M')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Solve Screenkhorn\n", - "-----------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "epsilon = 0.020986042861303855\n", - "\n", - "kappa = 3.7476531411890917\n", - "\n", - "Cardinality of selected points: |Isel| = 30 \t |Jsel| = 30 \n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/rflamary/PYTHON/POT/ot/bregman.py:2056: UserWarning: Bottleneck module is not installed. Install it from https://pypi.org/project/Bottleneck/ for better performance.\n", - " \"Bottleneck module is not installed. Install it from https://pypi.org/project/Bottleneck/ for better performance.\")\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# Screenkhorn\n", - "lambd = 2e-03 # entropy parameter\n", - "ns_budget = 30 # budget number of points to be keeped in the source distribution\n", - "nt_budget = 30 # budget number of points to be keeped in the target distribution\n", - "\n", - "G_screen = screenkhorn(a, b, M, lambd, ns_budget, nt_budget, uniform=False, restricted=True, verbose=True)\n", - "pl.figure(4, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, G_screen, 'OT matrix Screenkhorn')\n", - "pl.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.6.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/notebooks/plot_stochastic.ipynb b/notebooks/plot_stochastic.ipynb deleted file mode 100644 index aa0f1b3..0000000 --- a/notebooks/plot_stochastic.ipynb +++ /dev/null @@ -1,573 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "# Stochastic examples\n", - "\n", - "\n", - "This example is designed to show how to use the stochatic optimization\n", - "algorithms for descrete and semicontinous measures from the POT library.\n", - "\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Author: Kilian Fatras \n", - "#\n", - "# License: MIT License\n", - "\n", - "import matplotlib.pylab as pl\n", - "import numpy as np\n", - "import ot\n", - "import ot.plot" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "COMPUTE TRANSPORTATION MATRIX FOR SEMI-DUAL PROBLEM\n", - "############################################################################\n", - "############################################################################\n", - " DISCRETE CASE:\n", - "\n", - " Sample two discrete measures for the discrete case\n", - " ---------------------------------------------\n", - "\n", - " Define 2 discrete measures a and b, the points where are defined the source\n", - " and the target measures and finally the cost matrix c.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n_source = 7\n", - "n_target = 4\n", - "reg = 1\n", - "numItermax = 1000\n", - "\n", - "a = ot.utils.unif(n_source)\n", - "b = ot.utils.unif(n_target)\n", - "\n", - "rng = np.random.RandomState(0)\n", - "X_source = rng.randn(n_source, 2)\n", - "Y_target = rng.randn(n_target, 2)\n", - "M = ot.dist(X_source, Y_target)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Call the \"SAG\" method to find the transportation matrix in the discrete case\n", - "---------------------------------------------\n", - "\n", - "Define the method \"SAG\", call ot.solve_semi_dual_entropic and plot the\n", - "results.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[2.55553509e-02 9.96395660e-02 1.76579142e-02 4.31178196e-06]\n", - " [1.21640234e-01 1.25357448e-02 1.30225078e-03 7.37891338e-03]\n", - " [3.56123975e-03 7.61451746e-02 6.31505947e-02 1.33831456e-07]\n", - " [2.61515202e-02 3.34246014e-02 8.28734709e-02 4.07550428e-04]\n", - " [9.85500870e-03 7.52288517e-04 1.08262628e-02 1.21423583e-01]\n", - " [2.16904253e-02 9.03825797e-04 1.87178503e-03 1.18391107e-01]\n", - " [4.15462212e-02 2.65987989e-02 7.23177216e-02 2.39440107e-03]]\n" - ] - } - ], - "source": [ - "method = \"SAG\"\n", - "sag_pi = ot.stochastic.solve_semi_dual_entropic(a, b, M, reg, method,\n", - " numItermax)\n", - "print(sag_pi)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "SEMICONTINOUS CASE:\n", - "\n", - "Sample one general measure a, one discrete measures b for the semicontinous\n", - "case\n", - "---------------------------------------------\n", - "\n", - "Define one general measure a, one discrete measures b, the points where\n", - "are defined the source and the target measures and finally the cost matrix c.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n_source = 7\n", - "n_target = 4\n", - "reg = 1\n", - "numItermax = 1000\n", - "log = True\n", - "\n", - "a = ot.utils.unif(n_source)\n", - "b = ot.utils.unif(n_target)\n", - "\n", - "rng = np.random.RandomState(0)\n", - "X_source = rng.randn(n_source, 2)\n", - "Y_target = rng.randn(n_target, 2)\n", - "M = ot.dist(X_source, Y_target)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Call the \"ASGD\" method to find the transportation matrix in the semicontinous\n", - "case\n", - "---------------------------------------------\n", - "\n", - "Define the method \"ASGD\", call ot.solve_semi_dual_entropic and plot the\n", - "results.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[3.7937628 7.65961287 3.80848103 2.58141742 1.61215093 3.44897695\n", - " 2.71747327] [-2.52391608 -2.29387992 -0.82558991 5.64338591]\n", - "[[2.21553327e-02 1.03145567e-01 1.75528576e-02 3.38501746e-06]\n", - " [1.20021720e-01 1.47691349e-02 1.47329335e-03 6.59299438e-03]\n", - " [3.04838905e-03 7.78276435e-02 6.19810066e-02 1.03737333e-07]\n", - " [2.31393025e-02 3.53135903e-02 8.40777056e-02 3.26544498e-04]\n", - " [1.05758118e-02 9.63969840e-04 1.33213201e-02 1.17996041e-01]\n", - " [2.34525044e-02 1.16688539e-03 2.32054035e-03 1.15917213e-01]\n", - " [3.74708983e-02 2.86448739e-02 7.47858286e-02 1.95554208e-03]]\n" - ] - } - ], - "source": [ - "method = \"ASGD\"\n", - "asgd_pi, log_asgd = ot.stochastic.solve_semi_dual_entropic(a, b, M, reg, method,\n", - " numItermax, log=log)\n", - "print(log_asgd['alpha'], log_asgd['beta'])\n", - "print(asgd_pi)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compare the results with the Sinkhorn algorithm\n", - "---------------------------------------------\n", - "\n", - "Call the Sinkhorn algorithm from POT\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[2.55553508e-02 9.96395661e-02 1.76579142e-02 4.31178193e-06]\n", - " [1.21640234e-01 1.25357448e-02 1.30225079e-03 7.37891333e-03]\n", - " [3.56123974e-03 7.61451746e-02 6.31505947e-02 1.33831455e-07]\n", - " [2.61515201e-02 3.34246014e-02 8.28734709e-02 4.07550425e-04]\n", - " [9.85500876e-03 7.52288523e-04 1.08262629e-02 1.21423583e-01]\n", - " [2.16904255e-02 9.03825804e-04 1.87178504e-03 1.18391107e-01]\n", - " [4.15462212e-02 2.65987989e-02 7.23177217e-02 2.39440105e-03]]\n" - ] - } - ], - "source": [ - "sinkhorn_pi = ot.sinkhorn(a, b, M, reg)\n", - "print(sinkhorn_pi)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "PLOT TRANSPORTATION MATRIX\n", - "#############################################################################\n", - "\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot SAG results\n", - "----------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(4, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, asgd_pi, 'semi-dual : OT matrix ASGD')\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot Sinkhorn results\n", - "---------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(4, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, sinkhorn_pi, 'OT matrix Sinkhorn')\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "COMPUTE TRANSPORTATION MATRIX FOR DUAL PROBLEM\n", - "############################################################################\n", - "############################################################################\n", - " SEMICONTINOUS CASE:\n", - "\n", - " Sample one general measure a, one discrete measures b for the semicontinous\n", - " case\n", - " ---------------------------------------------\n", - "\n", - " Define one general measure a, one discrete measures b, the points where\n", - " are defined the source and the target measures and finally the cost matrix c.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "n_source = 7\n", - "n_target = 4\n", - "reg = 1\n", - "numItermax = 100000\n", - "lr = 0.1\n", - "batch_size = 3\n", - "log = True\n", - "\n", - "a = ot.utils.unif(n_source)\n", - "b = ot.utils.unif(n_target)\n", - "\n", - "rng = np.random.RandomState(0)\n", - "X_source = rng.randn(n_source, 2)\n", - "Y_target = rng.randn(n_target, 2)\n", - "M = ot.dist(X_source, Y_target)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Call the \"SGD\" dual method to find the transportation matrix in the\n", - "semicontinous case\n", - "---------------------------------------------\n", - "\n", - "Call ot.solve_dual_entropic and plot the results.\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0.91323163 2.78641673 1.06629943 0.01804936 0.61062914 1.81958274\n", - " 0.11217916] [0.34004858 0.48129361 1.57541501 4.92963099]\n", - "[[2.17913197e-02 9.28312769e-02 1.08665637e-02 9.30212767e-08]\n", - " [1.60939150e-02 1.81215529e-03 1.24345544e-04 2.47002125e-05]\n", - " [3.44318299e-03 8.04381532e-02 4.40643612e-02 3.27371535e-09]\n", - " [3.12534315e-02 4.36443287e-02 7.14771848e-02 1.23227019e-05]\n", - " [6.81023930e-02 5.68002968e-03 5.39927027e-02 2.12291313e-02]\n", - " [8.06039569e-02 3.66972769e-03 5.01990391e-03 1.11309234e-02]\n", - " [4.85325711e-02 3.39488142e-02 6.09673962e-02 7.07656480e-05]]\n" - ] - } - ], - "source": [ - "sgd_dual_pi, log_sgd = ot.stochastic.solve_dual_entropic(a, b, M, reg,\n", - " batch_size, numItermax,\n", - " lr, log=log)\n", - "print(log_sgd['alpha'], log_sgd['beta'])\n", - "print(sgd_dual_pi)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Compare the results with the Sinkhorn algorithm\n", - "---------------------------------------------\n", - "\n", - "Call the Sinkhorn algorithm from POT\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[2.55553508e-02 9.96395661e-02 1.76579142e-02 4.31178193e-06]\n", - " [1.21640234e-01 1.25357448e-02 1.30225079e-03 7.37891333e-03]\n", - " [3.56123974e-03 7.61451746e-02 6.31505947e-02 1.33831455e-07]\n", - " [2.61515201e-02 3.34246014e-02 8.28734709e-02 4.07550425e-04]\n", - " [9.85500876e-03 7.52288523e-04 1.08262629e-02 1.21423583e-01]\n", - " [2.16904255e-02 9.03825804e-04 1.87178504e-03 1.18391107e-01]\n", - " [4.15462212e-02 2.65987989e-02 7.23177217e-02 2.39440105e-03]]\n" - ] - } - ], - "source": [ - "sinkhorn_pi = ot.sinkhorn(a, b, M, reg)\n", - "print(sinkhorn_pi)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot SGD results\n", - "-----------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pl.figure(4, figsize=(5, 5))\n", - "ot.plot.plot1D_mat(a, b, sgd_dual_pi, 'dual : OT matrix SGD')\n", - "pl.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Plot Sinkhorn results\n", - "---------------------\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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