double min100[400]={
  2.90310924e-07,  8.91790103e-07,  2.23119727e-06,  4.90667878e-06,
  9.84888776e-06,  1.84442822e-05,  3.26839133e-05,  5.53369736e-05,
  9.01464309e-05,  1.42041745e-04,  2.17360638e-04,  3.24069010e-04,
  4.71964981e-04,  6.72850238e-04,  9.40648795e-04,  1.29145188e-03,
  1.74346638e-03,  2.31684438e-03,  3.03337311e-03,  3.91600775e-03,
  4.98823441e-03,  6.27325767e-03,  7.79301539e-03,  9.56703340e-03,
  1.16111442e-02,  1.39361057e-02,  1.65461669e-02,  1.94376417e-02,
  2.25975586e-02,  2.60024642e-02,  2.96174637e-02,  3.33955811e-02,
  3.72775202e-02,  4.11918995e-02,  4.50560206e-02,  4.87772122e-02,
  5.22547703e-02,  5.53824856e-02,  5.80517243e-02,  6.01549909e-02,
  6.15898762e-02,  6.22632576e-02,  6.20955947e-02,  6.10251414e-02,
  5.90118762e-02,  5.60409508e-02,  5.21254546e-02,  4.73083078e-02,
  4.16631195e-02,  3.52938807e-02,  2.83334045e-02,  2.09404807e-02,
  1.32957673e-02,  5.59650411e-03, -1.94980253e-03, -9.13251786e-03,
 -1.57455767e-02, -2.15954358e-02, -2.65089413e-02, -3.03407549e-02,
 -3.29799805e-02, -3.43556517e-02, -3.44407737e-02, -3.32546666e-02,
 -3.08634254e-02, -2.73783938e-02, -2.29526369e-02, -1.77754992e-02,
 -1.20654239e-02, -6.06130718e-03, -1.27402562e-05,  5.83044054e-03,
  1.12288252e-02,  1.59638268e-02,  1.98473055e-02,  2.27299426e-02,
  2.45079399e-02,  2.51276877e-02,  2.45881396e-02,  2.29407412e-02,
  2.02868782e-02,  1.67729358e-02,  1.25831821e-02,  7.93080500e-03,
  3.04753056e-03, -1.82767089e-03, -6.46022906e-03, -1.06313828e-02,
 -1.41487744e-02, -1.68556854e-02, -1.86384374e-02, -1.94315744e-02,
 -1.92205569e-02, -1.80418296e-02, -1.59802619e-02, -1.31641026e-02,
 -9.75772110e-03, -5.95252970e-03, -1.95657710e-03,  2.01662363e-03,
  5.75942849e-03,  9.08094654e-03,  1.18168896e-02,  1.38378622e-02,
  1.50556537e-02,  1.54272090e-02,  1.49560842e-02,  1.36913333e-02,
  1.17239199e-02,  9.18088086e-03,  6.21759652e-03,  3.00862518e-03,
 -2.62366148e-04, -3.41299499e-03, -6.27228994e-03, -8.68998228e-03,
 -1.05444491e-02, -1.17488785e-02, -1.22553358e-02, -1.20565348e-02,
 -1.11852547e-02, -9.71147816e-03, -7.73746212e-03, -5.39106316e-03,
 -2.81774182e-03, -1.71736331e-04,  2.39306243e-03,  4.73199544e-03,
  6.71776471e-03,  8.24734687e-03,  9.24731230e-03,  9.67727272e-03,
  9.53129800e-03,  8.83726646e-03,  7.65423795e-03,  6.06805446e-03,
  4.18547512e-03,  2.12723332e-03,  2.04588593e-05, -2.00906354e-03,
 -3.84433040e-03, -5.38381123e-03, -6.54701310e-03, -7.27861353e-03,
 -7.55095264e-03, -7.36478028e-03, -6.74826431e-03, -5.75437146e-03,
 -4.45682919e-03, -2.94495808e-03, -1.31772537e-03,  3.22592318e-04,
  1.87673571e-03,  3.25439115e-03,  4.37936856e-03,  5.19373468e-03,
  5.66068090e-03,  5.76599124e-03,  5.51806678e-03,  4.94655438e-03,
  4.09971341e-03,  3.04072828e-03,  1.84323359e-03,  5.86359140e-04,
 -6.50378353e-04, -1.79201232e-03, -2.77258908e-03, -3.53889417e-03,
 -4.05323635e-03, -4.29515022e-03, -4.26195157e-03, -3.96815544e-03,
 -3.44383811e-03, -2.73208842e-03, -1.88574607e-03, -9.63662538e-04,
 -2.67410655e-05,  8.65983497e-04,  1.66097735e-03,  2.31333380e-03,
  2.78921481e-03,  3.06748132e-03,  3.14044339e-03,  3.01372020e-03,
  2.70525803e-03,  2.24360683e-03,  1.66559873e-03,  1.01360492e-03,
  3.32566910e-04, -3.32996561e-04, -9.41812297e-04, -1.45833096e-03,
 -1.85471651e-03, -2.11224136e-03, -2.22202503e-03, -2.18510017e-03,
 -2.01183426e-03, -1.72077616e-03, -1.33703105e-03, -8.90293442e-04,
 -4.12683644e-04,  6.34609388e-05,  5.07692486e-04,  8.93324968e-04,
  1.19896094e-03,  1.40959087e-03,  1.51721501e-03,  1.52097223e-03,
  1.42679351e-03,  1.24662878e-03,  9.97320999e-04,  6.99221509e-04,
  3.74652214e-04,  4.63254363e-05, -2.64171516e-04, -5.37730100e-04,
 -7.58831403e-04, -9.16354066e-04, -1.00404283e-03, -1.02062592e-03,
 -9.69593923e-04, -8.58674817e-04, -6.99058133e-04, -5.04435332e-04,
 -2.89931823e-04, -7.10089186e-05,  1.37588407e-04,  3.22769849e-04,
  4.73867946e-04,  5.83194552e-04,  6.46361145e-04,  6.62356199e-04,
  6.33389594e-04,  5.64529284e-04,  4.63168434e-04,  3.38370210e-04,
  2.00142535e-04,  5.86970922e-05, -7.62557405e-05, -1.96130346e-04,
 -2.93970218e-04, -3.64806489e-04, -4.05856083e-04, -4.16556567e-04,
 -3.98446288e-04, -3.54908798e-04, -2.90808581e-04, -2.12050560e-04,
 -1.25099334e-04, -3.64944232e-05,  4.76048093e-05,  1.21814940e-04,
  1.81841533e-04,  2.24693824e-04,  2.48793038e-04,  2.53974296e-04,
  2.41390167e-04,  2.13329497e-04,  1.72970617e-04,  1.24091162e-04,
  7.07580774e-05,  1.70211061e-05, -3.33686868e-05, -7.71976920e-05,
 -1.11971905e-04, -1.36034098e-04, -1.48612688e-04, -1.49804038e-04,
 -1.40494913e-04, -1.22234806e-04, -9.70718920e-05, -6.73666190e-05,
 -3.55984046e-05, -4.17967988e-06,  2.47098448e-05,  4.92586168e-05,
  6.81208475e-05,  8.04726256e-05,  8.60258163e-05,  8.50021751e-05,
  7.80729337e-05,  6.62711265e-05,  5.08853871e-05,  3.33444280e-05,
  1.51014872e-05, -2.47292551e-06, -1.81828062e-05, -3.10774919e-05,
 -4.04982661e-05, -4.60995995e-05, -4.78454214e-05, -4.59830002e-05,
 -4.09984564e-05, -3.35587691e-05, -2.44458229e-05, -1.44880580e-05,
 -4.49496161e-06,  4.80080675e-06,  1.27900553e-05,  1.90202102e-05,
  2.32136613e-05,  2.52712033e-05,  2.52617669e-05,  2.34006431e-05,
  2.00188147e-05,  1.55265532e-05,  1.03746042e-05,  5.01619096e-06,
 -1.27317826e-07, -4.69491996e-06, -8.40718371e-06, -1.10789159e-05,
 -1.26232946e-05, -1.30482552e-05, -1.24459066e-05, -1.09764414e-05,
 -8.84863378e-06, -6.29867621e-06, -3.56890869e-06, -8.88419053e-07,
  1.54315409e-06,  3.56792052e-06,  5.07751353e-06,  6.01582365e-06,
  6.37762461e-06,  6.20337293e-06,  5.57069385e-06,  4.58407533e-06,
  3.36366152e-06,  2.03370110e-06,  7.12345810e-07, -4.97029970e-07,
 -1.51257946e-06, -2.27772942e-06, -2.76303530e-06, -2.96505532e-06,
 -2.90374889e-06, -2.61784832e-06, -2.15951033e-06, -1.58836330e-06,
 -9.65718051e-07, -3.49301677e-07,  2.11062091e-07,  6.76659736e-07,
  1.02168703e-06,  1.23374288e-06,  1.31323818e-06,  1.27167697e-06,
  1.12927510e-06,  9.12126480e-07,  6.49192140e-07,  3.69422075e-07,
  9.92907780e-08, -1.39211531e-07, -3.29903613e-07, -4.63031240e-07,
 -5.35244284e-07, -5.49072800e-07, -5.11901577e-07, -4.34626504e-07,
 -3.30228650e-07, -2.12284643e-07, -9.36334451e-08,  1.46615533e-08,
  1.04113405e-07,  1.69254438e-07,  2.07667052e-07,  2.19826264e-07,
  2.08665877e-07,  1.78928360e-07,  1.36455143e-07,  8.74837593e-08,
  3.79584960e-08, -7.00721904e-09, -4.35072135e-08, -6.90724541e-08,
 -8.27424355e-08, -8.49275653e-08, -7.71969371e-08, -6.19829258e-08,
 -4.21694539e-08, -2.07593778e-08, -5.41035109e-10,  1.62024339e-08,
  2.78629416e-08,  3.36156279e-08,  3.35163915e-08,  2.83547357e-08,
  1.95284047e-08,  8.86108291e-09, -1.62561940e-09, -1.00109083e-08,
 -1.47375250e-08, -1.49071665e-08, -1.06012370e-08, -3.13596846e-09,
  4.62757291e-09,  7.95596418e-09, -9.16942124e-12, -3.60934751e-12};