pbns.push_back(make_pair<double,double>(0.0290362,1));
pbns.push_back(make_pair<double,double>(0.0307676,2));
pbns.push_back(make_pair<double,double>(0.0366312,3));
pbns.push_back(make_pair<double,double>(0.0544614,4));
pbns.push_back(make_pair<double,double>(0.0920033,5));
pbns.push_back(make_pair<double,double>(0.104599,6));
pbns.push_back(make_pair<double,double>(0.114718,7));
pbns.push_back(make_pair<double,double>(0.117379,8));
pbns.push_back(make_pair<double,double>(0.123493,9));
pbns.push_back(make_pair<double,double>(0.133638,10));
pbns.push_back(make_pair<double,double>(0.137798,9));
pbns.push_back(make_pair<double,double>(0.149798,10));
pbns.push_back(make_pair<double,double>(0.155421,11));
pbns.push_back(make_pair<double,double>(0.158443,12));
pbns.push_back(make_pair<double,double>(0.176956,13));
pbns.push_back(make_pair<double,double>(0.183234,12));
pbns.push_back(make_pair<double,double>(0.191069,13));
pbns.push_back(make_pair<double,double>(0.191333,14));
pbns.push_back(make_pair<double,double>(0.191836,15));
pbns.push_back(make_pair<double,double>(0.192675,16));
pbns.push_back(make_pair<double,double>(0.208564,17));
pbns.push_back(make_pair<double,double>(0.218425,18));
pbns.push_back(make_pair<double,double>(0.219902,17));
pbns.push_back(make_pair<double,double>(0.23233,16));
pbns.push_back(make_pair<double,double>(0.234558,17));
pbns.push_back(make_pair<double,double>(0.237166,16));
pbns.push_back(make_pair<double,double>(0.247352,17));
pbns.push_back(make_pair<double,double>(0.267421,18));
pbns.push_back(make_pair<double,double>(0.268093,19));
pbns.push_back(make_pair<double,double>(0.278734,18));
pbns.push_back(make_pair<double,double>(0.284722,19));
pbns.push_back(make_pair<double,double>(0.284998,20));
pbns.push_back(make_pair<double,double>(0.294069,21));
pbns.push_back(make_pair<double,double>(0.306293,22));
pbns.push_back(make_pair<double,double>(0.322361,21));
pbns.push_back(make_pair<double,double>(0.323152,22));
pbns.push_back(make_pair<double,double>(0.371021,23));
pbns.push_back(make_pair<double,double>(0.372395,24));
pbns.push_back(make_pair<double,double>(0.387744,25));
pbns.push_back(make_pair<double,double>(0.435537,26));
pbns.push_back(make_pair<double,double>(0.462911,25));
pbns.push_back(make_pair<double,double>(0.483569,26));
pbns.push_back(make_pair<double,double>(0.489209,25));
pbns.push_back(make_pair<double,double>(0.517115,24));
pbns.push_back(make_pair<double,double>(0.522197,23));
pbns.push_back(make_pair<double,double>(0.532665,22));
pbns.push_back(make_pair<double,double>(0.545262,23));
pbns.push_back(make_pair<double,double>(0.587227,22));
pbns.push_back(make_pair<double,double>(0.593036,23));
pbns.push_back(make_pair<double,double>(0.602647,24));
pbns.push_back(make_pair<double,double>(0.605044,25));
pbns.push_back(make_pair<double,double>(0.621962,24));
pbns.push_back(make_pair<double,double>(0.629449,23));
pbns.push_back(make_pair<double,double>(0.636719,22));
pbns.push_back(make_pair<double,double>(0.64957,21));
pbns.push_back(make_pair<double,double>(0.650781,22));
pbns.push_back(make_pair<double,double>(0.654951,23));
pbns.push_back(make_pair<double,double>(0.683489,24));
pbns.push_back(make_pair<double,double>(0.687172,23));
pbns.push_back(make_pair<double,double>(0.69703,22));
pbns.push_back(make_pair<double,double>(0.701174,21));
pbns.push_back(make_pair<double,double>(0.717623,22));
pbns.push_back(make_pair<double,double>(0.722023,21));
pbns.push_back(make_pair<double,double>(0.722298,20));
pbns.push_back(make_pair<double,double>(0.725347,19));
pbns.push_back(make_pair<double,double>(0.73071,18));
pbns.push_back(make_pair<double,double>(0.758355,17));
pbns.push_back(make_pair<double,double>(0.770913,18));
pbns.push_back(make_pair<double,double>(0.790833,17));
pbns.push_back(make_pair<double,double>(0.821211,16));
pbns.push_back(make_pair<double,double>(0.849305,17));
pbns.push_back(make_pair<double,double>(0.853669,16));
pbns.push_back(make_pair<double,double>(0.866659,15));
pbns.push_back(make_pair<double,double>(0.872896,16));
pbns.push_back(make_pair<double,double>(0.889597,15));
pbns.push_back(make_pair<double,double>(0.900231,14));
pbns.push_back(make_pair<double,double>(0.903847,13));
pbns.push_back(make_pair<double,double>(0.906299,12));
pbns.push_back(make_pair<double,double>(0.910852,11));
pbns.push_back(make_pair<double,double>(0.93453,10));
pbns.push_back(make_pair<double,double>(0.944757,9));
pbns.push_back(make_pair<double,double>(0.947812,8));
pbns.push_back(make_pair<double,double>(0.959154,7));
pbns.push_back(make_pair<double,double>(0.975654,6));
pbns.push_back(make_pair<double,double>(0.976719,5));
pbns.push_back(make_pair<double,double>(0.977343,4));
pbns.push_back(make_pair<double,double>(0.980129,3));
pbns.push_back(make_pair<double,double>(0.987842,2));
pbns.push_back(make_pair<double,double>(0.990127,1));
pbns.push_back(make_pair<double,double>(0.994537,0));