@init

dark     = 10000;
intense   = 10100;
fluo     = 10200;
colorblind   = 10300;
pimp    = 10400;
shades     = 10500;
fancy     = 10600;
pastel     = 10700;
purple     = 10800;
dark2     = 10900;
dark3     = 11000;
dark4     = 11100;
dark5     = 11200;
colorblind2 = 11300;
smooth = 11400;

c = dark;
c[] = 199/255;
c += 1;
c[] = 149/255;
c += 1;
c[] = 66/255;
c += 1;
c[] = 120/255;
c += 1;
c[] = 73/255;
c += 1;
c[] = 209/255;
c += 1;
c[] = 107/255;
c += 1;
c[] = 209/255;
c += 1;
c[] = 86/255;
c += 1;
c[] = 204/255;
c += 1;
c[] = 77/255;
c += 1;
c[] = 188/255;
c += 1;
c[] = 199/255;
c += 1;
c[] = 211/255;
c += 1;
c[] = 83/255;
c += 1;
c[] = 75/255;
c += 1;
c[] = 57/255;
c += 1;
c[] = 134/255;
c += 1;
c[] = 109/255;
c += 1;
c[] = 211/255;
c += 1;
c[] = 171/255;
c += 1;
c[] = 201/255;
c += 1;
c[] = 73/255;
c += 1;
c[] = 113/255;
c += 1;
c[] = 88/255;
c += 1;
c[] = 121/255;
c += 1;
c[] = 63/255;
c += 1;
c[] = 174/255;
c += 1;
c[] = 142/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 198/255;
c += 1;
c[] = 76/255;
c += 1;
c[] = 46/255;
c += 1;
c[] = 98/255;
c += 1;
c[] = 149/255;
c += 1;
c[] = 178/255;
c += 1;
c[] = 90/255;
c += 1;
c[] = 44/255;
c += 1;
c[] = 74/255;
c += 1;
c[] = 196/255;
c += 1;
c[] = 206/255;
c += 1;
c[] = 181/255;
c += 1;
c[] = 71/255;
c += 1;
c[] = 58/255;
c += 1;
c[] = 43/255;
c += 1;
c[] = 188/255;
c += 1;
c[] = 130/255;
c += 1;
c[] = 119/255;

c = dark2;
c[] = 78/255;
c += 1;
c[] = 44/255;
c += 1;
c[] = 101/255;
c += 1;
c[] = 113/255;
c += 1;
c[] = 207/255;
c += 1;
c[] = 77/255;
c += 1;
c[] = 107/255;
c += 1;
c[] = 70/255;
c += 1;
c[] = 197/255;
c += 1;
c[] = 204/255;
c += 1;
c[] = 206/255;
c += 1;
c[] = 72/255;
c += 1;
c[] = 204/255;
c += 1;
c[] = 77/255;
c += 1;
c[] = 199/255;
c += 1;
c[] = 99/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 152/255;
c += 1;
c[] = 198/255;
c += 1;
c[] = 77/255;
c += 1;
c[] = 130/255;
c += 1;
c[] = 87/255;
c += 1;
c[] = 110/255;
c += 1;
c[] = 56/255;
c += 1;
c[] = 147/255;
c += 1;
c[] = 138/255;
c += 1;
c[] = 207/255;
c += 1;
c[] = 200/255;
c += 1;
c[] = 138/255;
c += 1;
c[] = 66/255;
c += 1;
c[] = 121/255;
c += 1;
c[] = 185/255;
c += 1;
c[] = 199/255;
c += 1;
c[] = 210/255;
c += 1;
c[] = 76/255;
c += 1;
c[] = 60/255;
c += 1;
c[] = 60/255;
c += 1;
c[] = 72/255;
c += 1;
c[] = 80/255;
c += 1;
c[] = 195/255;
c += 1;
c[] = 204/255;
c += 1;
c[] = 150/255;
c += 1;
c[] = 109/255;
c += 1;
c[] = 54/255;
c += 1;
c[] = 46/255;
c += 1;
c[] = 201/255;
c += 1;
c[] = 151/255;
c += 1;
c[] = 157/255;


c = dark3;
c[] = 203/255;
c += 1;
c[] = 74/255;
c += 1;
c[] = 115/255;
c += 1;
c[] = 112/255;
c += 1;
c[] = 212/255;
c += 1;
c[] = 83/255;
c += 1;
c[] = 106/255;
c += 1;
c[] = 63/255;
c += 1;
c[] = 191/255;
c += 1;
c[] = 203/255;
c += 1;
c[] = 211/255;
c += 1;
c[] = 84/255;
c += 1;
c[] = 198/255;
c += 1;
c[] = 81/255;
c += 1;
c[] = 190/255;
c += 1;
c[] = 122/255;
c += 1;
c[] = 208/255;
c += 1;
c[] = 163/255;
c += 1;
c[] = 209/255;
c += 1;
c[] = 79/255;
c += 1;
c[] = 51/255;
c += 1;
c[] = 102/255;
c += 1;
c[] = 118/255;
c += 1;
c[] = 192/255;
c += 1;
c[] = 203/255;
c += 1;
c[] = 144/255;
c += 1;
c[] = 59/255;
c += 1;
c[] = 73/255;
c += 1;
c[] = 41/255;
c += 1;
c[] = 83/255;
c += 1;
c[] = 98/255;
c += 1;
c[] = 127/255;
c += 1;
c[] = 55/255;
c += 1;
c[] = 197/255;
c += 1;
c[] = 148/255;
c += 1;
c[] = 187/255;
c += 1;
c[] = 62/255;
c += 1;
c[] = 82/255;
c += 1;
c[] = 65/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 178/255;
c += 1;
c[] = 146/255;
c += 1;
c[] = 120/255;
c += 1;
c[] = 64/255;
c += 1;
c[] = 53/255;
c += 1;
c[] = 122/255;
c += 1;
c[] = 179/255;
c += 1;
c[] = 198/255;

c = dark4;
c[] = 110/255;
c += 1;
c[] = 71/255;
c += 1;
c[] = 203/255;
c += 1;
c[] = 114/255;
c += 1;
c[] = 214/255;
c += 1;
c[] = 84/255;
c += 1;
c[] = 204/255;
c += 1;
c[] = 84/255;
c += 1;
c[] = 196/255;
c += 1;
c[] = 204/255;
c += 1;
c[] = 210/255;
c += 1;
c[] = 76/255;
c += 1;
c[] = 84/255;
c += 1;
c[] = 47/255;
c += 1;
c[] = 118/255;
c += 1;
c[] = 118/255;
c += 1;
c[] = 210/255;
c += 1;
c[] = 170/255;
c += 1;
c[] = 210/255;
c += 1;
c[] = 73/255;
c += 1;
c[] = 60/255;
c += 1;
c[] = 119/255;
c += 1;
c[] = 132/255;
c += 1;
c[] = 197/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 136/255;
c += 1;
c[] = 58/255;
c += 1;
c[] = 74/255;
c += 1;
c[] = 43/255;
c += 1;
c[] = 63/255;
c += 1;
c[] = 203/255;
c += 1;
c[] = 187/255;
c += 1;
c[] = 129/255;
c += 1;
c[] = 202/255;
c += 1;
c[] = 99/255;
c += 1;
c[] = 141/255;
c += 1;
c[] = 91/255;
c += 1;
c[] = 131/255;
c += 1;
c[] = 58/255;
c += 1;
c[] = 167/255;
c += 1;
c[] = 184/255;
c += 1;
c[] = 196/255;
c += 1;
c[] = 133/255;
c += 1;
c[] = 79/255;
c += 1;
c[] = 57/255;
c += 1;
c[] = 63/255;
c += 1;
c[] = 87/255;
c += 1;
c[] = 72/255;

c = dark5;
c[] = 184/255;
c += 1;
c[] = 103/255;
c += 1;
c[] = 119/255;
c += 1;
c[] = 115/255;
c += 1;
c[] = 214/255;
c += 1;
c[] = 90/255;
c += 1;
c[] = 141/255;
c += 1;
c[] = 63/255;
c += 1;
c[] = 204/255;
c += 1;
c[] = 206/255;
c += 1;
c[] = 209/255;
c += 1;
c[] = 80/255;
c += 1;
c[] = 100/255;
c += 1;
c[] = 89/255;
c += 1;
c[] = 182/255;
c += 1;
c[] = 98/255;
c += 1;
c[] = 138/255;
c += 1;
c[] = 65/255;
c += 1;
c[] = 202/255;
c += 1;
c[] = 75/255;
c += 1;
c[] = 163/255;
c += 1;
c[] = 125/255;
c += 1;
c[] = 210/255;
c += 1;
c[] = 182/255;
c += 1;
c[] = 212/255;
c += 1;
c[] = 69/255;
c += 1;
c[] = 64/255;
c += 1;
c[] = 101/255;
c += 1;
c[] = 150/255;
c += 1;
c[] = 185/255;
c += 1;
c[] = 199/255;
c += 1;
c[] = 133/255;
c += 1;
c[] = 59/255;
c += 1;
c[] = 72/255;
c += 1;
c[] = 43/255;
c += 1;
c[] = 79/255;
c += 1;
c[] = 202/255;
c += 1;
c[] = 185/255;
c += 1;
c[] = 144/255;
c += 1;
c[] = 113/255;
c += 1;
c[] = 57/255;
c += 1;
c[] = 39/255;
c += 1;
c[] = 200/255;
c += 1;
c[] = 163/255;
c += 1;
c[] = 207/255;
c += 1;
c[] = 64/255;
c += 1;
c[] = 82/255;
c += 1;
c[] = 59/255;

c = shades;
c[] = 182/255;
c += 1;
c[] = 216/255;
c += 1;
c[] = 220/255;
c += 1;
c[] = 40/255;
c += 1;
c[] = 23/255;
c += 1;
c[] = 17/255;
c += 1;
c[] = 220/255;
c += 1;
c[] = 236/255;
c += 1;
c[] = 218/255;
c += 1;
c[] = 51/255;
c += 1;
c[] = 33/255;
c += 1;
c[] = 38/255;
c += 1;
c[] = 223/255;
c += 1;
c[] = 202/255;
c += 1;
c[] = 187/255;
c += 1;
c[] = 39/255;
c += 1;
c[] = 48/255;
c += 1;
c[] = 33/255;
c += 1;
c[] = 140/255;
c += 1;
c[] = 177/255;
c += 1;
c[] = 189/255;
c += 1;
c[] = 73/255;
c += 1;
c[] = 48/255;
c += 1;
c[] = 39/255;
c += 1;
c[] = 160/255;
c += 1;
c[] = 180/255;
c += 1;
c[] = 164/255;
c += 1;
c[] = 37/255;
c += 1;
c[] = 66/255;
c += 1;
c[] = 70/255;
c += 1;
c[] = 183/255;
c += 1;
c[] = 154/255;
c += 1;
c[] = 150/255;
c += 1;
c[] = 101/255;
c += 1;
c[] = 80/255;
c += 1;
c[] = 69/255;
c += 1;
c[] = 96/255;
c += 1;
c[] = 127/255;
c += 1;
c[] = 131/255;
c += 1;
c[] = 149/255;
c += 1;
c[] = 123/255;
c += 1;
c[] = 123/255;
c += 1;
c[] = 97/255;
c += 1;
c[] = 104/255;
c += 1;
c[] = 87/255;
c += 1;
c[] = 148/255;
c += 1;
c[] = 148/255;
c += 1;
c[] = 129/255;

c = pastel;
c[] = 161/255;
c += 1;
c[] = 216/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 233/255;
c += 1;
c[] = 175/255;
c += 1;
c[] = 184/255;
c += 1;
c[] = 179/255;
c += 1;
c[] = 223/255;
c += 1;
c[] = 193/255;
c += 1;
c[] = 199/255;
c += 1;
c[] = 175/255;
c += 1;
c[] = 212/255;
c += 1;
c[] = 219/255;
c += 1;
c[] = 241/255;
c += 1;
c[] = 195/255;
c += 1;
c[] = 222/255;
c += 1;
c[] = 206/255;
c += 1;
c[] = 238/255;
c += 1;
c[] = 185/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 161/255;
c += 1;
c[] = 165/255;
c += 1;
c[] = 192/255;
c += 1;
c[] = 221/255;
c += 1;
c[] = 223/255;
c += 1;
c[] = 170/255;
c += 1;
c[] = 146/255;
c += 1;
c[] = 156/255;
c += 1;
c[] = 218/255;
c += 1;
c[] = 234/255;
c += 1;
c[] = 225/255;
c += 1;
c[] = 202/255;
c += 1;
c[] = 163/255;
c += 1;
c[] = 139/255;
c += 1;
c[] = 190/255;
c += 1;
c[] = 183/255;
c += 1;
c[] = 225/255;
c += 1;
c[] = 204/255;
c += 1;
c[] = 195/255;
c += 1;
c[] = 201/255;
c += 1;
c[] = 247/255;
c += 1;
c[] = 232/255;
c += 1;
c[] = 162/255;
c += 1;
c[] = 189/255;
c += 1;
c[] = 163/255;
c += 1;
c[] = 203/255;
c += 1;
c[] = 225/255;
c += 1;
c[] = 209/255;

c = pimp;
c[] = 181/255;
c += 1;
c[] = 142/255;
c += 1;
c[] = 54/255;
c += 1;
c[] = 125/255;
c += 1;
c[] = 58/255;
c += 1;
c[] = 204/255;
c += 1;
c[] = 93/255;
c += 1;
c[] = 165/255;
c += 1;
c[] = 59/255;
c += 1;
c[] = 201/255;
c += 1;
c[] = 75/255;
c += 1;
c[] = 202/255;
c += 1;
c[] = 90/255;
c += 1;
c[] = 117/255;
c += 1;
c[] = 47/255;
c += 1;
c[] = 99/255;
c += 1;
c[] = 98/255;
c += 1;
c[] = 216/255;
c += 1;
c[] = 217/255;
c += 1;
c[] = 89/255;
c += 1;
c[] = 44/255;
c += 1;
c[] = 97/255;
c += 1;
c[] = 137/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 220/255;
c += 1;
c[] = 67/255;
c += 1;
c[] = 91/255;
c += 1;
c[] = 62/255;
c += 1;
c[] = 154/255;
c += 1;
c[] = 121/255;
c += 1;
c[] = 214/255;
c += 1;
c[] = 67/255;
c += 1;
c[] = 143/255;
c += 1;
c[] = 147/255;
c += 1;
c[] = 95/255;
c += 1;
c[] = 45/255;
c += 1;
c[] = 98/255;
c += 1;
c[] = 73/255;
c += 1;
c[] = 149/255;
c += 1;
c[] = 168/255;
c += 1;
c[] = 77/255;
c += 1;
c[] = 73/255;
c += 1;
c[] = 194/255;
c += 1;
c[] = 119/255;
c += 1;
c[] = 185/255;
c += 1;
c[] = 140/255;
c += 1;
c[] = 58/255;
c += 1;
c[] = 107/255;

c = intense;
c[] = 206/255;
c += 1;
c[] = 133/255;
c += 1;
c[] = 56/255;
c += 1;
c[] = 115/255;
c += 1;
c[] = 58/255;
c += 1;
c[] = 196/255;
c += 1;
c[] = 104/255;
c += 1;
c[] = 183/255;
c += 1;
c[] = 64/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 78/255;
c += 1;
c[] = 192/255;
c += 1;
c[] = 102/255;
c += 1;
c[] = 176/255;
c += 1;
c[] = 126/255;
c += 1;
c[] = 203/255;
c += 1;
c[] = 67/255;
c += 1;
c[] = 113/255;
c += 1;
c[] = 80/255;
c += 1;
c[] = 169/255;
c += 1;
c[] = 179/255;
c += 1;
c[] = 210/255;
c += 1;
c[] = 71/255;
c += 1;
c[] = 49/255;
c += 1;
c[] = 114/255;
c += 1;
c[] = 110/255;
c += 1;
c[] = 209/255;
c += 1;
c[] = 172/255;
c += 1;
c[] = 163/255;
c += 1;
c[] = 68/255;
c += 1;
c[] = 95/255;
c += 1;
c[] = 53/255;
c += 1;
c[] = 110/255;
c += 1;
c[] = 74/255;
c += 1;
c[] = 96/255;
c += 1;
c[] = 46/255;
c += 1;
c[] = 197/255;
c += 1;
c[] = 135/255;
c += 1;
c[] = 181/255;
c += 1;
c[] = 119/255;
c += 1;
c[] = 56/255;
c += 1;
c[] = 46/255;
c += 1;
c[] = 98/255;
c += 1;
c[] = 131/255;
c += 1;
c[] = 182/255;
c += 1;
c[] = 206/255;
c += 1;
c[] = 138/255;
c += 1;
c[] = 118/255;

c = fluo;
c[] = 183/255;
c += 1;
c[] = 231/255;
c += 1;
c[] = 120/255;
c += 1;
c[] = 88/255;
c += 1;
c[] = 227/255;
c += 1;
c[] = 214/255;
c += 1;
c[] = 237/255;
c += 1;
c[] = 206/255;
c += 1;
c[] = 46/255;
c += 1;
c[] = 100/255;
c += 1;
c[] = 237/255;
c += 1;
c[] = 153/255;
c += 1;
c[] = 246/255;
c += 1;
c[] = 180/255;
c += 1;
c[] = 130/255;
c += 1;
c[] = 97/255;
c += 1;
c[] = 233/255;
c += 1;
c[] = 83/255;
c += 1;
c[] = 238/255;
c += 1;
c[] = 187/255;
c += 1;
c[] = 82/255;
c += 1;
c[] = 164/255;
c += 1;
c[] = 234/255;
c += 1;
c[] = 53/255;
c += 1;
c[] = 221/255;
c += 1;
c[] = 202/255;
c += 1;
c[] = 116/255;
c += 1;
c[] = 150/255;
c += 1;
c[] = 228/255;
c += 1;
c[] = 92/255;
c += 1;
c[] = 178/255;
c += 1;
c[] = 246/255;
c += 1;
c[] = 178/255;
c += 1;
c[] = 221/255;
c += 1;
c[] = 236/255;
c += 1;
c[] = 60/255;
c += 1;
c[] = 147/255;
c += 1;
c[] = 218/255;
c += 1;
c[] = 153/255;
c += 1;
c[] = 218/255;
c += 1;
c[] = 218/255;
c += 1;
c[] = 87/255;
c += 1;
c[] = 187/255;
c += 1;
c[] = 211/255;
c += 1;
c[] = 129/255;
c += 1;
c[] = 231/255;
c += 1;
c[] = 239/255;
c += 1;
c[] = 146/255;

c = purple;
c[] = 72/255;
c += 1;
c[] = 58/255;
c += 1;
c[] = 162/255;
c += 1;
c[] = 40/255;
c += 1;
c[] = 28/255;
c += 1;
c[] = 46/255;
c += 1;
c[] = 138/255;
c += 1;
c[] = 23/255;
c += 1;
c[] = 201/255;
c += 1;
c[] = 29/255;
c += 1;
c[] = 29/255;
c += 1;
c[] = 60/255;
c += 1;
c[] = 60/255;
c += 1;
c[] = 54/255;
c += 1;
c[] = 214/255;
c += 1;
c[] = 81/255;
c += 1;
c[] = 72/255;
c += 1;
c[] = 100/255;
c += 1;
c[] = 92/255;
c += 1;
c[] = 42/255;
c += 1;
c[] = 193/255;
c += 1;
c[] = 49/255;
c += 1;
c[] = 22/255;
c += 1;
c[] = 70/255;
c += 1;
c[] = 46/255;
c += 1;
c[] = 68/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 84/255;
c += 1;
c[] = 64/255;
c += 1;
c[] = 114/255;
c += 1;
c[] = 123/255;
c += 1;
c[] = 40/255;
c += 1;
c[] = 176/255;
c += 1;
c[] = 58/255;
c += 1;
c[] = 59/255;
c += 1;
c[] = 134/255;
c += 1;
c[] = 55/255;
c += 1;
c[] = 24/255;
c += 1;
c[] = 147/255;
c += 1;
c[] = 110/255;
c += 1;
c[] = 48/255;
c += 1;
c[] = 117/255;
c += 1;
c[] = 46/255;
c += 1;
c[] = 17/255;
c += 1;
c[] = 100/255;
c += 1;
c[] = 113/255;
c += 1;
c[] = 42/255;
c += 1;
c[] = 143/255;

c = colorblind;
c[] = 133/255;
c += 1;
c[] = 123/255;
c += 1;
c[] = 232/255;
c += 1;
c[] = 168/255;
c += 1;
c[] = 174/255;
c += 1;
c[] = 62/255;
c += 1;
c[] = 82/255;
c += 1;
c[] = 85/255;
c += 1;
c[] = 185/255;
c += 1;
c[] = 105/255;
c += 1;
c[] = 160/255;
c += 1;
c[] = 80/255;
c += 1;
c[] = 193/255;
c += 1;
c[] = 101/255;
c += 1;
c[] = 198/255;
c += 1;
c[] = 69/255;
c += 1;
c[] = 192/255;
c += 1;
c[] = 151/255;
c += 1;
c[] = 132/255;
c += 1;
c[] = 43/255;
c += 1;
c[] = 113/255;
c += 1;
c[] = 189/255;
c += 1;
c[] = 127/255;
c += 1;
c[] = 55/255;
c += 1;
c[] = 84/255;
c += 1;
c[] = 136/255;
c += 1;
c[] = 227/255;
c += 1;
c[] = 185/255;
c += 1;
c[] = 76/255;
c += 1;
c[] = 63/255;
c += 1;
c[] = 102/255;
c += 1;
c[] = 161/255;
c += 1;
c[] = 229/255;
c += 1;
c[] = 187/255;
c += 1;
c[] = 72/255;
c += 1;
c[] = 106/255;
c += 1;
c[] = 75/255;
c += 1;
c[] = 47/255;
c += 1;
c[] = 127/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 93/255;
c += 1;
c[] = 156/255;
c += 1;
c[] = 111/255;
c += 1;
c[] = 106/255;
c += 1;
c[] = 181/255;
c += 1;
c[] = 201/255;
c += 1;
c[] = 138/255;
c += 1;
c[] = 210/255;

c = colorblind2;
c[] = 102/255;
c += 1;
c[] = 114/255;
c += 1;
c[] = 42/255;
c += 1;
c[] = 80/255;
c += 1;
c[] = 24/255;
c += 1;
c[] = 137/255;
c += 1;
c[] = 147/255;
c += 1;
c[] = 171/255;
c += 1;
c[] = 21/255;
c += 1;
c[] = 205/255;
c += 1;
c[] = 159/255;
c += 1;
c[] = 255/255;
c += 1;
c[] = 233/255;
c += 1;
c[] = 192/255;
c += 1;
c[] = 55/255;
c += 1;
c[] = 1/255;
c += 1;
c[] = 88/255;
c += 1;
c[] = 167/255;
c += 1;
c[] = 255/255;
c += 1;
c[] = 202/255;
c += 1;
c[] = 112/255;
c += 1;
c[] = 92/255;
c += 1;
c[] = 0/255;
c += 1;
c[] = 64/255;
c += 1;
c[] = 113/255;
c += 1;
c[] = 236/255;
c += 1;
c[] = 154/255;
c += 1;
c[] = 255/255;
c += 1;
c[] = 103/255;
c += 1;
c[] = 183/255;
c += 1;
c[] = 97/255;
c += 1;
c[] = 116/255;
c += 1;
c[] = 0/255;
c += 1;
c[] = 226/255;
c += 1;
c[] = 52/255;
c += 1;
c[] = 95/255;
c += 1;
c[] = 134/255;
c += 1;
c[] = 48/255;
c += 1;
c[] = 55/255;
c += 1;
c[] = 255/255;
c += 1;
c[] = 128/255;
c += 1;
c[] = 121/255;
c += 1;
c[] = 150/255;
c += 1;
c[] = 0/255;
c += 1;
c[] = 44/255;
c += 1;
c[] = 176/255;
c += 1;
c[] = 33/255;
c += 1;
c[] = 24/255;

c = fancy;
c[] = 183/255;
c += 1;
c[] = 103/255;
c += 1;
c[] = 81/255;
c += 1;
c[] = 0/255;
c += 1;
c[] = 187/255;
c += 1;
c[] = 187/255;
c += 1;
c[] = 230/255;
c += 1;
c[] = 148/255;
c += 1;
c[] = 118/255;
c += 1;
c[] = 120/255;
c += 1;
c[] = 184/255;
c += 1;
c[] = 252/255;
c += 1;
c[] = 179/255;
c += 1;
c[] = 132/255;
c += 1;
c[] = 74/255;
c += 1;
c[] = 77/255;
c += 1;
c[] = 126/255;
c += 1;
c[] = 179/255;
c += 1;
c[] = 229/255;
c += 1;
c[] = 186/255;
c += 1;
c[] = 120/255;
c += 1;
c[] = 1/255;
c += 1;
c[] = 135/255;
c += 1;
c[] = 155/255;
c += 1;
c[] = 255/255;
c += 1;
c[] = 162/255;
c += 1;
c[] = 176/255;
c += 1;
c[] = 19/255;
c += 1;
c[] = 157/255;
c += 1;
c[] = 133/255;
c += 1;
c[] = 250/255;
c += 1;
c[] = 199/255;
c += 1;
c[] = 185/255;
c += 1;
c[] = 138/255;
c += 1;
c[] = 222/255;
c += 1;
c[] = 248/255;
c += 1;
c[] = 150/255;
c += 1;
c[] = 112/255;
c += 1;
c[] = 132/255;
c += 1;
c[] = 161/255;
c += 1;
c[] = 213/255;
c += 1;
c[] = 147/255;
c += 1;
c[] = 95/255;
c += 1;
c[] = 131/255;
c += 1;
c[] = 100/255;
c += 1;
c[] = 225/255;
c += 1;
c[] = 208/255;
c += 1;
c[] = 182/255;

c = smooth;
c[] = 228/255;
c += 1;
c[] = 81/255;
c += 1;
c[] = 78/255;
c += 1;
c[] = 210/255;
c += 1;
c[] = 120/255;
c += 1;
c[] = 49/255;
c += 1;
c[] = 190/255;
c += 1;
c[] = 178/255;
c += 1;
c[] = 74/255;
c += 1;
c[] = 82/255;
c += 1;
c[] = 150/255;
c += 1;
c[] = 70/255;
c += 1;
c[] = 69/255;
c += 1;
c[] = 150/255;
c += 1;
c[] = 140/255;
c += 1;
c[] = 67/255;
c += 1;
c[] = 122/255;
c += 1;
c[] = 203/255;
c += 1;
c[] = 127/255;
c += 1;
c[] = 117/255;
c += 1;
c[] = 227/255;
c += 1;
c[] = 167/255;
c += 1;
c[] = 102/255;
c += 1;
c[] = 200/255;
c += 1;
c[] = 228/512;
c += 1;
c[] = 81/512;
c += 1;
c[] = 78/512;
c += 1;
c[] = 210/512;
c += 1;
c[] = 120/512;
c += 1;
c[] = 49/512;
c += 1;
c[] = 190/512;
c += 1;
c[] = 178/512;
c += 1;
c[] = 74/512;
c += 1;
c[] = 82/512;
c += 1;
c[] = 150/512;
c += 1;
c[] = 70/512;
c += 1;
c[] = 69/512;
c += 1;
c[] = 150/512;
c += 1;
c[] = 140/512;
c += 1;
c[] = 67/512;
c += 1;
c[] = 122/512;
c += 1;
c[] = 203/512;
c += 1;
c[] = 127/512;
c += 1;
c[] = 117/512;
c += 1;
c[] = 227/512;
c += 1;
c[] = 167/512;
c += 1;
c[] = 102/512;
c += 1;
c[] = 200/512;
c += 1;

magma = 1000;
viridis = 2000;
inferno = 3000;
plasma = 4000;
turbo = 5000;
bluered = 6000;

magma[] = 0.001462;
magma +=1;
magma[] = 0.000466;
magma +=1;
magma[] = 0.013866;
magma +=1;
magma[] = 0.002258;
magma +=1;
magma[] = 0.001295;
magma +=1;
magma[] = 0.018331;
magma +=1;
magma[] = 0.003279;
magma +=1;
magma[] = 0.002305;
magma +=1;
magma[] = 0.023708;
magma +=1;
magma[] = 0.004512;
magma +=1;
magma[] = 0.00349;
magma +=1;
magma[] = 0.029965;
magma +=1;
magma[] = 0.00595;
magma +=1;
magma[] = 0.004843;
magma +=1;
magma[] = 0.03713;
magma +=1;
magma[] = 0.007588;
magma +=1;
magma[] = 0.006356;
magma +=1;
magma[] = 0.044973;
magma +=1;
magma[] = 0.009426;
magma +=1;
magma[] = 0.008022;
magma +=1;
magma[] = 0.052844;
magma +=1;
magma[] = 0.011465;
magma +=1;
magma[] = 0.009828;
magma +=1;
magma[] = 0.06075;
magma +=1;
magma[] = 0.013708;
magma +=1;
magma[] = 0.011771;
magma +=1;
magma[] = 0.068667;
magma +=1;
magma[] = 0.016156;
magma +=1;
magma[] = 0.01384;
magma +=1;
magma[] = 0.076603;
magma +=1;
magma[] = 0.018815;
magma +=1;
magma[] = 0.016026;
magma +=1;
magma[] = 0.084584;
magma +=1;
magma[] = 0.021692;
magma +=1;
magma[] = 0.01832;
magma +=1;
magma[] = 0.09261;
magma +=1;
magma[] = 0.024792;
magma +=1;
magma[] = 0.020715;
magma +=1;
magma[] = 0.100676;
magma +=1;
magma[] = 0.028123;
magma +=1;
magma[] = 0.023201;
magma +=1;
magma[] = 0.108787;
magma +=1;
magma[] = 0.031696;
magma +=1;
magma[] = 0.025765;
magma +=1;
magma[] = 0.116965;
magma +=1;
magma[] = 0.03552;
magma +=1;
magma[] = 0.028397;
magma +=1;
magma[] = 0.125209;
magma +=1;
magma[] = 0.039608;
magma +=1;
magma[] = 0.03109;
magma +=1;
magma[] = 0.133515;
magma +=1;
magma[] = 0.04383;
magma +=1;
magma[] = 0.03383;
magma +=1;
magma[] = 0.141886;
magma +=1;
magma[] = 0.048062;
magma +=1;
magma[] = 0.036607;
magma +=1;
magma[] = 0.150327;
magma +=1;
magma[] = 0.05232;
magma +=1;
magma[] = 0.039407;
magma +=1;
magma[] = 0.158841;
magma +=1;
magma[] = 0.056615;
magma +=1;
magma[] = 0.04216;
magma +=1;
magma[] = 0.167446;
magma +=1;
magma[] = 0.060949;
magma +=1;
magma[] = 0.044794;
magma +=1;
magma[] = 0.176129;
magma +=1;
magma[] = 0.06533;
magma +=1;
magma[] = 0.047318;
magma +=1;
magma[] = 0.184892;
magma +=1;
magma[] = 0.069764;
magma +=1;
magma[] = 0.049726;
magma +=1;
magma[] = 0.193735;
magma +=1;
magma[] = 0.074257;
magma +=1;
magma[] = 0.052017;
magma +=1;
magma[] = 0.20266;
magma +=1;
magma[] = 0.078815;
magma +=1;
magma[] = 0.054184;
magma +=1;
magma[] = 0.211667;
magma +=1;
magma[] = 0.083446;
magma +=1;
magma[] = 0.056225;
magma +=1;
magma[] = 0.220755;
magma +=1;
magma[] = 0.088155;
magma +=1;
magma[] = 0.058133;
magma +=1;
magma[] = 0.229922;
magma +=1;
magma[] = 0.092949;
magma +=1;
magma[] = 0.059904;
magma +=1;
magma[] = 0.239164;
magma +=1;
magma[] = 0.097833;
magma +=1;
magma[] = 0.061531;
magma +=1;
magma[] = 0.248477;
magma +=1;
magma[] = 0.102815;
magma +=1;
magma[] = 0.06301;
magma +=1;
magma[] = 0.257854;
magma +=1;
magma[] = 0.107899;
magma +=1;
magma[] = 0.064335;
magma +=1;
magma[] = 0.267289;
magma +=1;
magma[] = 0.113094;
magma +=1;
magma[] = 0.065492;
magma +=1;
magma[] = 0.276784;
magma +=1;
magma[] = 0.118405;
magma +=1;
magma[] = 0.066479;
magma +=1;
magma[] = 0.286321;
magma +=1;
magma[] = 0.123833;
magma +=1;
magma[] = 0.067295;
magma +=1;
magma[] = 0.295879;
magma +=1;
magma[] = 0.12938;
magma +=1;
magma[] = 0.067935;
magma +=1;
magma[] = 0.305443;
magma +=1;
magma[] = 0.135053;
magma +=1;
magma[] = 0.068391;
magma +=1;
magma[] = 0.315;
magma +=1;
magma[] = 0.140858;
magma +=1;
magma[] = 0.068654;
magma +=1;
magma[] = 0.324538;
magma +=1;
magma[] = 0.146785;
magma +=1;
magma[] = 0.068738;
magma +=1;
magma[] = 0.334011;
magma +=1;
magma[] = 0.152839;
magma +=1;
magma[] = 0.068637;
magma +=1;
magma[] = 0.343404;
magma +=1;
magma[] = 0.159018;
magma +=1;
magma[] = 0.068354;
magma +=1;
magma[] = 0.352688;
magma +=1;
magma[] = 0.165308;
magma +=1;
magma[] = 0.067911;
magma +=1;
magma[] = 0.361816;
magma +=1;
magma[] = 0.171713;
magma +=1;
magma[] = 0.067305;
magma +=1;
magma[] = 0.370771;
magma +=1;
magma[] = 0.178212;
magma +=1;
magma[] = 0.066576;
magma +=1;
magma[] = 0.379497;
magma +=1;
magma[] = 0.184801;
magma +=1;
magma[] = 0.065732;
magma +=1;
magma[] = 0.387973;
magma +=1;
magma[] = 0.19146;
magma +=1;
magma[] = 0.064818;
magma +=1;
magma[] = 0.396152;
magma +=1;
magma[] = 0.198177;
magma +=1;
magma[] = 0.063862;
magma +=1;
magma[] = 0.404009;
magma +=1;
magma[] = 0.204935;
magma +=1;
magma[] = 0.062907;
magma +=1;
magma[] = 0.411514;
magma +=1;
magma[] = 0.211718;
magma +=1;
magma[] = 0.061992;
magma +=1;
magma[] = 0.418647;
magma +=1;
magma[] = 0.218512;
magma +=1;
magma[] = 0.061158;
magma +=1;
magma[] = 0.425392;
magma +=1;
magma[] = 0.225302;
magma +=1;
magma[] = 0.060445;
magma +=1;
magma[] = 0.431742;
magma +=1;
magma[] = 0.232077;
magma +=1;
magma[] = 0.059889;
magma +=1;
magma[] = 0.437695;
magma +=1;
magma[] = 0.238826;
magma +=1;
magma[] = 0.059517;
magma +=1;
magma[] = 0.443256;
magma +=1;
magma[] = 0.245543;
magma +=1;
magma[] = 0.059352;
magma +=1;
magma[] = 0.448436;
magma +=1;
magma[] = 0.25222;
magma +=1;
magma[] = 0.059415;
magma +=1;
magma[] = 0.453248;
magma +=1;
magma[] = 0.258857;
magma +=1;
magma[] = 0.059706;
magma +=1;
magma[] = 0.45771;
magma +=1;
magma[] = 0.265447;
magma +=1;
magma[] = 0.060237;
magma +=1;
magma[] = 0.46184;
magma +=1;
magma[] = 0.271994;
magma +=1;
magma[] = 0.060994;
magma +=1;
magma[] = 0.46566;
magma +=1;
magma[] = 0.278493;
magma +=1;
magma[] = 0.061978;
magma +=1;
magma[] = 0.46919;
magma +=1;
magma[] = 0.284951;
magma +=1;
magma[] = 0.063168;
magma +=1;
magma[] = 0.472451;
magma +=1;
magma[] = 0.291366;
magma +=1;
magma[] = 0.064553;
magma +=1;
magma[] = 0.475462;
magma +=1;
magma[] = 0.29774;
magma +=1;
magma[] = 0.066117;
magma +=1;
magma[] = 0.478243;
magma +=1;
magma[] = 0.304081;
magma +=1;
magma[] = 0.067835;
magma +=1;
magma[] = 0.480812;
magma +=1;
magma[] = 0.310382;
magma +=1;
magma[] = 0.069702;
magma +=1;
magma[] = 0.483186;
magma +=1;
magma[] = 0.316654;
magma +=1;
magma[] = 0.07169;
magma +=1;
magma[] = 0.48538;
magma +=1;
magma[] = 0.322899;
magma +=1;
magma[] = 0.073782;
magma +=1;
magma[] = 0.487408;
magma +=1;
magma[] = 0.329114;
magma +=1;
magma[] = 0.075972;
magma +=1;
magma[] = 0.489287;
magma +=1;
magma[] = 0.335308;
magma +=1;
magma[] = 0.078236;
magma +=1;
magma[] = 0.491024;
magma +=1;
magma[] = 0.341482;
magma +=1;
magma[] = 0.080564;
magma +=1;
magma[] = 0.492631;
magma +=1;
magma[] = 0.347636;
magma +=1;
magma[] = 0.082946;
magma +=1;
magma[] = 0.494121;
magma +=1;
magma[] = 0.353773;
magma +=1;
magma[] = 0.085373;
magma +=1;
magma[] = 0.495501;
magma +=1;
magma[] = 0.359898;
magma +=1;
magma[] = 0.087831;
magma +=1;
magma[] = 0.496778;
magma +=1;
magma[] = 0.366012;
magma +=1;
magma[] = 0.090314;
magma +=1;
magma[] = 0.49796;
magma +=1;
magma[] = 0.372116;
magma +=1;
magma[] = 0.092816;
magma +=1;
magma[] = 0.499053;
magma +=1;
magma[] = 0.378211;
magma +=1;
magma[] = 0.095332;
magma +=1;
magma[] = 0.500067;
magma +=1;
magma[] = 0.384299;
magma +=1;
magma[] = 0.097855;
magma +=1;
magma[] = 0.501002;
magma +=1;
magma[] = 0.390384;
magma +=1;
magma[] = 0.100379;
magma +=1;
magma[] = 0.501864;
magma +=1;
magma[] = 0.396467;
magma +=1;
magma[] = 0.102902;
magma +=1;
magma[] = 0.502658;
magma +=1;
magma[] = 0.402548;
magma +=1;
magma[] = 0.10542;
magma +=1;
magma[] = 0.503386;
magma +=1;
magma[] = 0.408629;
magma +=1;
magma[] = 0.10793;
magma +=1;
magma[] = 0.504052;
magma +=1;
magma[] = 0.414709;
magma +=1;
magma[] = 0.110431;
magma +=1;
magma[] = 0.504662;
magma +=1;
magma[] = 0.420791;
magma +=1;
magma[] = 0.11292;
magma +=1;
magma[] = 0.505215;
magma +=1;
magma[] = 0.426877;
magma +=1;
magma[] = 0.115395;
magma +=1;
magma[] = 0.505714;
magma +=1;
magma[] = 0.432967;
magma +=1;
magma[] = 0.117855;
magma +=1;
magma[] = 0.50616;
magma +=1;
magma[] = 0.439062;
magma +=1;
magma[] = 0.120298;
magma +=1;
magma[] = 0.506555;
magma +=1;
magma[] = 0.445163;
magma +=1;
magma[] = 0.122724;
magma +=1;
magma[] = 0.506901;
magma +=1;
magma[] = 0.451271;
magma +=1;
magma[] = 0.125132;
magma +=1;
magma[] = 0.507198;
magma +=1;
magma[] = 0.457386;
magma +=1;
magma[] = 0.127522;
magma +=1;
magma[] = 0.507448;
magma +=1;
magma[] = 0.463508;
magma +=1;
magma[] = 0.129893;
magma +=1;
magma[] = 0.507652;
magma +=1;
magma[] = 0.46964;
magma +=1;
magma[] = 0.132245;
magma +=1;
magma[] = 0.507809;
magma +=1;
magma[] = 0.47578;
magma +=1;
magma[] = 0.134577;
magma +=1;
magma[] = 0.507921;
magma +=1;
magma[] = 0.481929;
magma +=1;
magma[] = 0.136891;
magma +=1;
magma[] = 0.507989;
magma +=1;
magma[] = 0.488088;
magma +=1;
magma[] = 0.139186;
magma +=1;
magma[] = 0.508011;
magma +=1;
magma[] = 0.494258;
magma +=1;
magma[] = 0.141462;
magma +=1;
magma[] = 0.507988;
magma +=1;
magma[] = 0.500438;
magma +=1;
magma[] = 0.143719;
magma +=1;
magma[] = 0.50792;
magma +=1;
magma[] = 0.506629;
magma +=1;
magma[] = 0.145958;
magma +=1;
magma[] = 0.507806;
magma +=1;
magma[] = 0.512831;
magma +=1;
magma[] = 0.148179;
magma +=1;
magma[] = 0.507648;
magma +=1;
magma[] = 0.519045;
magma +=1;
magma[] = 0.150383;
magma +=1;
magma[] = 0.507443;
magma +=1;
magma[] = 0.52527;
magma +=1;
magma[] = 0.152569;
magma +=1;
magma[] = 0.507192;
magma +=1;
magma[] = 0.531507;
magma +=1;
magma[] = 0.154739;
magma +=1;
magma[] = 0.506895;
magma +=1;
magma[] = 0.537755;
magma +=1;
magma[] = 0.156894;
magma +=1;
magma[] = 0.506551;
magma +=1;
magma[] = 0.544015;
magma +=1;
magma[] = 0.159033;
magma +=1;
magma[] = 0.506159;
magma +=1;
magma[] = 0.550287;
magma +=1;
magma[] = 0.161158;
magma +=1;
magma[] = 0.505719;
magma +=1;
magma[] = 0.556571;
magma +=1;
magma[] = 0.163269;
magma +=1;
magma[] = 0.50523;
magma +=1;
magma[] = 0.562866;
magma +=1;
magma[] = 0.165368;
magma +=1;
magma[] = 0.504692;
magma +=1;
magma[] = 0.569172;
magma +=1;
magma[] = 0.167454;
magma +=1;
magma[] = 0.504105;
magma +=1;
magma[] = 0.57549;
magma +=1;
magma[] = 0.16953;
magma +=1;
magma[] = 0.503466;
magma +=1;
magma[] = 0.581819;
magma +=1;
magma[] = 0.171596;
magma +=1;
magma[] = 0.502777;
magma +=1;
magma[] = 0.588158;
magma +=1;
magma[] = 0.173652;
magma +=1;
magma[] = 0.502035;
magma +=1;
magma[] = 0.594508;
magma +=1;
magma[] = 0.175701;
magma +=1;
magma[] = 0.501241;
magma +=1;
magma[] = 0.600868;
magma +=1;
magma[] = 0.177743;
magma +=1;
magma[] = 0.500394;
magma +=1;
magma[] = 0.607238;
magma +=1;
magma[] = 0.179779;
magma +=1;
magma[] = 0.499492;
magma +=1;
magma[] = 0.613617;
magma +=1;
magma[] = 0.181811;
magma +=1;
magma[] = 0.498536;
magma +=1;
magma[] = 0.620005;
magma +=1;
magma[] = 0.18384;
magma +=1;
magma[] = 0.497524;
magma +=1;
magma[] = 0.626401;
magma +=1;
magma[] = 0.185867;
magma +=1;
magma[] = 0.496456;
magma +=1;
magma[] = 0.632805;
magma +=1;
magma[] = 0.187893;
magma +=1;
magma[] = 0.495332;
magma +=1;
magma[] = 0.639216;
magma +=1;
magma[] = 0.189921;
magma +=1;
magma[] = 0.49415;
magma +=1;
magma[] = 0.645633;
magma +=1;
magma[] = 0.191952;
magma +=1;
magma[] = 0.49291;
magma +=1;
magma[] = 0.652056;
magma +=1;
magma[] = 0.193986;
magma +=1;
magma[] = 0.491611;
magma +=1;
magma[] = 0.658483;
magma +=1;
magma[] = 0.196027;
magma +=1;
magma[] = 0.490253;
magma +=1;
magma[] = 0.664915;
magma +=1;
magma[] = 0.198075;
magma +=1;
magma[] = 0.488836;
magma +=1;
magma[] = 0.671349;
magma +=1;
magma[] = 0.200133;
magma +=1;
magma[] = 0.487358;
magma +=1;
magma[] = 0.677786;
magma +=1;
magma[] = 0.202203;
magma +=1;
magma[] = 0.485819;
magma +=1;
magma[] = 0.684224;
magma +=1;
magma[] = 0.204286;
magma +=1;
magma[] = 0.484219;
magma +=1;
magma[] = 0.690661;
magma +=1;
magma[] = 0.206384;
magma +=1;
magma[] = 0.482558;
magma +=1;
magma[] = 0.697098;
magma +=1;
magma[] = 0.208501;
magma +=1;
magma[] = 0.480835;
magma +=1;
magma[] = 0.703532;
magma +=1;
magma[] = 0.210638;
magma +=1;
magma[] = 0.479049;
magma +=1;
magma[] = 0.709962;
magma +=1;
magma[] = 0.212797;
magma +=1;
magma[] = 0.477201;
magma +=1;
magma[] = 0.716387;
magma +=1;
magma[] = 0.214982;
magma +=1;
magma[] = 0.47529;
magma +=1;
magma[] = 0.722805;
magma +=1;
magma[] = 0.217194;
magma +=1;
magma[] = 0.473316;
magma +=1;
magma[] = 0.729216;
magma +=1;
magma[] = 0.219437;
magma +=1;
magma[] = 0.471279;
magma +=1;
magma[] = 0.735616;
magma +=1;
magma[] = 0.221713;
magma +=1;
magma[] = 0.46918;
magma +=1;
magma[] = 0.742004;
magma +=1;
magma[] = 0.224025;
magma +=1;
magma[] = 0.467018;
magma +=1;
magma[] = 0.748378;
magma +=1;
magma[] = 0.226377;
magma +=1;
magma[] = 0.464794;
magma +=1;
magma[] = 0.754737;
magma +=1;
magma[] = 0.228772;
magma +=1;
magma[] = 0.462509;
magma +=1;
magma[] = 0.761077;
magma +=1;
magma[] = 0.231214;
magma +=1;
magma[] = 0.460162;
magma +=1;
magma[] = 0.767398;
magma +=1;
magma[] = 0.233705;
magma +=1;
magma[] = 0.457755;
magma +=1;
magma[] = 0.773695;
magma +=1;
magma[] = 0.236249;
magma +=1;
magma[] = 0.455289;
magma +=1;
magma[] = 0.779968;
magma +=1;
magma[] = 0.238851;
magma +=1;
magma[] = 0.452765;
magma +=1;
magma[] = 0.786212;
magma +=1;
magma[] = 0.241514;
magma +=1;
magma[] = 0.450184;
magma +=1;
magma[] = 0.792427;
magma +=1;
magma[] = 0.244242;
magma +=1;
magma[] = 0.447543;
magma +=1;
magma[] = 0.798608;
magma +=1;
magma[] = 0.24704;
magma +=1;
magma[] = 0.444848;
magma +=1;
magma[] = 0.804752;
magma +=1;
magma[] = 0.249911;
magma +=1;
magma[] = 0.442102;
magma +=1;
magma[] = 0.810855;
magma +=1;
magma[] = 0.252861;
magma +=1;
magma[] = 0.439305;
magma +=1;
magma[] = 0.816914;
magma +=1;
magma[] = 0.255895;
magma +=1;
magma[] = 0.436461;
magma +=1;
magma[] = 0.822926;
magma +=1;
magma[] = 0.259016;
magma +=1;
magma[] = 0.433573;
magma +=1;
magma[] = 0.828886;
magma +=1;
magma[] = 0.262229;
magma +=1;
magma[] = 0.430644;
magma +=1;
magma[] = 0.834791;
magma +=1;
magma[] = 0.26554;
magma +=1;
magma[] = 0.427671;
magma +=1;
magma[] = 0.840636;
magma +=1;
magma[] = 0.268953;
magma +=1;
magma[] = 0.424666;
magma +=1;
magma[] = 0.846416;
magma +=1;
magma[] = 0.272473;
magma +=1;
magma[] = 0.421631;
magma +=1;
magma[] = 0.852126;
magma +=1;
magma[] = 0.276106;
magma +=1;
magma[] = 0.418573;
magma +=1;
magma[] = 0.857763;
magma +=1;
magma[] = 0.279857;
magma +=1;
magma[] = 0.415496;
magma +=1;
magma[] = 0.86332;
magma +=1;
magma[] = 0.283729;
magma +=1;
magma[] = 0.412403;
magma +=1;
magma[] = 0.868793;
magma +=1;
magma[] = 0.287728;
magma +=1;
magma[] = 0.409303;
magma +=1;
magma[] = 0.874176;
magma +=1;
magma[] = 0.291859;
magma +=1;
magma[] = 0.406205;
magma +=1;
magma[] = 0.879464;
magma +=1;
magma[] = 0.296125;
magma +=1;
magma[] = 0.403118;
magma +=1;
magma[] = 0.884651;
magma +=1;
magma[] = 0.30053;
magma +=1;
magma[] = 0.400047;
magma +=1;
magma[] = 0.889731;
magma +=1;
magma[] = 0.305079;
magma +=1;
magma[] = 0.397002;
magma +=1;
magma[] = 0.8947;
magma +=1;
magma[] = 0.309773;
magma +=1;
magma[] = 0.393995;
magma +=1;
magma[] = 0.899552;
magma +=1;
magma[] = 0.314616;
magma +=1;
magma[] = 0.391037;
magma +=1;
magma[] = 0.904281;
magma +=1;
magma[] = 0.31961;
magma +=1;
magma[] = 0.388137;
magma +=1;
magma[] = 0.908884;
magma +=1;
magma[] = 0.324755;
magma +=1;
magma[] = 0.385308;
magma +=1;
magma[] = 0.913354;
magma +=1;
magma[] = 0.330052;
magma +=1;
magma[] = 0.382563;
magma +=1;
magma[] = 0.917689;
magma +=1;
magma[] = 0.3355;
magma +=1;
magma[] = 0.379915;
magma +=1;
magma[] = 0.921884;
magma +=1;
magma[] = 0.341098;
magma +=1;
magma[] = 0.377376;
magma +=1;
magma[] = 0.925937;
magma +=1;
magma[] = 0.346844;
magma +=1;
magma[] = 0.374959;
magma +=1;
magma[] = 0.929845;
magma +=1;
magma[] = 0.352734;
magma +=1;
magma[] = 0.372677;
magma +=1;
magma[] = 0.933606;
magma +=1;
magma[] = 0.358764;
magma +=1;
magma[] = 0.370541;
magma +=1;
magma[] = 0.937221;
magma +=1;
magma[] = 0.364929;
magma +=1;
magma[] = 0.368567;
magma +=1;
magma[] = 0.940687;
magma +=1;
magma[] = 0.371224;
magma +=1;
magma[] = 0.366762;
magma +=1;
magma[] = 0.944006;
magma +=1;
magma[] = 0.377643;
magma +=1;
magma[] = 0.365136;
magma +=1;
magma[] = 0.94718;
magma +=1;
magma[] = 0.384178;
magma +=1;
magma[] = 0.363701;
magma +=1;
magma[] = 0.95021;
magma +=1;
magma[] = 0.39082;
magma +=1;
magma[] = 0.362468;
magma +=1;
magma[] = 0.953099;
magma +=1;
magma[] = 0.397563;
magma +=1;
magma[] = 0.361438;
magma +=1;
magma[] = 0.955849;
magma +=1;
magma[] = 0.4044;
magma +=1;
magma[] = 0.360619;
magma +=1;
magma[] = 0.958464;
magma +=1;
magma[] = 0.411324;
magma +=1;
magma[] = 0.360014;
magma +=1;
magma[] = 0.960949;
magma +=1;
magma[] = 0.418323;
magma +=1;
magma[] = 0.35963;
magma +=1;
magma[] = 0.96331;
magma +=1;
magma[] = 0.42539;
magma +=1;
magma[] = 0.359469;
magma +=1;
magma[] = 0.965549;
magma +=1;
magma[] = 0.432519;
magma +=1;
magma[] = 0.359529;
magma +=1;
magma[] = 0.967671;
magma +=1;
magma[] = 0.439703;
magma +=1;
magma[] = 0.35981;
magma +=1;
magma[] = 0.96968;
magma +=1;
magma[] = 0.446936;
magma +=1;
magma[] = 0.360311;
magma +=1;
magma[] = 0.971582;
magma +=1;
magma[] = 0.45421;
magma +=1;
magma[] = 0.36103;
magma +=1;
magma[] = 0.973381;
magma +=1;
magma[] = 0.46152;
magma +=1;
magma[] = 0.361965;
magma +=1;
magma[] = 0.975082;
magma +=1;
magma[] = 0.468861;
magma +=1;
magma[] = 0.363111;
magma +=1;
magma[] = 0.97669;
magma +=1;
magma[] = 0.476226;
magma +=1;
magma[] = 0.364466;
magma +=1;
magma[] = 0.97821;
magma +=1;
magma[] = 0.483612;
magma +=1;
magma[] = 0.366025;
magma +=1;
magma[] = 0.979645;
magma +=1;
magma[] = 0.491014;
magma +=1;
magma[] = 0.367783;
magma +=1;
magma[] = 0.981;
magma +=1;
magma[] = 0.498428;
magma +=1;
magma[] = 0.369734;
magma +=1;
magma[] = 0.982279;
magma +=1;
magma[] = 0.505851;
magma +=1;
magma[] = 0.371874;
magma +=1;
magma[] = 0.983485;
magma +=1;
magma[] = 0.51328;
magma +=1;
magma[] = 0.374198;
magma +=1;
magma[] = 0.984622;
magma +=1;
magma[] = 0.520713;
magma +=1;
magma[] = 0.376698;
magma +=1;
magma[] = 0.985693;
magma +=1;
magma[] = 0.528148;
magma +=1;
magma[] = 0.379371;
magma +=1;
magma[] = 0.9867;
magma +=1;
magma[] = 0.535582;
magma +=1;
magma[] = 0.38221;
magma +=1;
magma[] = 0.987646;
magma +=1;
magma[] = 0.543015;
magma +=1;
magma[] = 0.38521;
magma +=1;
magma[] = 0.988533;
magma +=1;
magma[] = 0.550446;
magma +=1;
magma[] = 0.388365;
magma +=1;
magma[] = 0.989363;
magma +=1;
magma[] = 0.557873;
magma +=1;
magma[] = 0.391671;
magma +=1;
magma[] = 0.990138;
magma +=1;
magma[] = 0.565296;
magma +=1;
magma[] = 0.395122;
magma +=1;
magma[] = 0.990871;
magma +=1;
magma[] = 0.572706;
magma +=1;
magma[] = 0.398714;
magma +=1;
magma[] = 0.991558;
magma +=1;
magma[] = 0.580107;
magma +=1;
magma[] = 0.402441;
magma +=1;
magma[] = 0.992196;
magma +=1;
magma[] = 0.587502;
magma +=1;
magma[] = 0.406299;
magma +=1;
magma[] = 0.992785;
magma +=1;
magma[] = 0.594891;
magma +=1;
magma[] = 0.410283;
magma +=1;
magma[] = 0.993326;
magma +=1;
magma[] = 0.602275;
magma +=1;
magma[] = 0.41439;
magma +=1;
magma[] = 0.993834;
magma +=1;
magma[] = 0.609644;
magma +=1;
magma[] = 0.418613;
magma +=1;
magma[] = 0.994309;
magma +=1;
magma[] = 0.616999;
magma +=1;
magma[] = 0.42295;
magma +=1;
magma[] = 0.994738;
magma +=1;
magma[] = 0.62435;
magma +=1;
magma[] = 0.427397;
magma +=1;
magma[] = 0.995122;
magma +=1;
magma[] = 0.631696;
magma +=1;
magma[] = 0.431951;
magma +=1;
magma[] = 0.99548;
magma +=1;
magma[] = 0.639027;
magma +=1;
magma[] = 0.436607;
magma +=1;
magma[] = 0.99581;
magma +=1;
magma[] = 0.646344;
magma +=1;
magma[] = 0.441361;
magma +=1;
magma[] = 0.996096;
magma +=1;
magma[] = 0.653659;
magma +=1;
magma[] = 0.446213;
magma +=1;
magma[] = 0.996341;
magma +=1;
magma[] = 0.660969;
magma +=1;
magma[] = 0.45116;
magma +=1;
magma[] = 0.99658;
magma +=1;
magma[] = 0.668256;
magma +=1;
magma[] = 0.456192;
magma +=1;
magma[] = 0.996775;
magma +=1;
magma[] = 0.675541;
magma +=1;
magma[] = 0.461314;
magma +=1;
magma[] = 0.996925;
magma +=1;
magma[] = 0.682828;
magma +=1;
magma[] = 0.466526;
magma +=1;
magma[] = 0.997077;
magma +=1;
magma[] = 0.690088;
magma +=1;
magma[] = 0.471811;
magma +=1;
magma[] = 0.997186;
magma +=1;
magma[] = 0.697349;
magma +=1;
magma[] = 0.477182;
magma +=1;
magma[] = 0.997254;
magma +=1;
magma[] = 0.704611;
magma +=1;
magma[] = 0.482635;
magma +=1;
magma[] = 0.997325;
magma +=1;
magma[] = 0.711848;
magma +=1;
magma[] = 0.488154;
magma +=1;
magma[] = 0.997351;
magma +=1;
magma[] = 0.719089;
magma +=1;
magma[] = 0.493755;
magma +=1;
magma[] = 0.997351;
magma +=1;
magma[] = 0.726324;
magma +=1;
magma[] = 0.499428;
magma +=1;
magma[] = 0.997341;
magma +=1;
magma[] = 0.733545;
magma +=1;
magma[] = 0.505167;
magma +=1;
magma[] = 0.997285;
magma +=1;
magma[] = 0.740772;
magma +=1;
magma[] = 0.510983;
magma +=1;
magma[] = 0.997228;
magma +=1;
magma[] = 0.747981;
magma +=1;
magma[] = 0.516859;
magma +=1;
magma[] = 0.997138;
magma +=1;
magma[] = 0.75519;
magma +=1;
magma[] = 0.522806;
magma +=1;
magma[] = 0.997019;
magma +=1;
magma[] = 0.762398;
magma +=1;
magma[] = 0.528821;
magma +=1;
magma[] = 0.996898;
magma +=1;
magma[] = 0.769591;
magma +=1;
magma[] = 0.534892;
magma +=1;
magma[] = 0.996727;
magma +=1;
magma[] = 0.776795;
magma +=1;
magma[] = 0.541039;
magma +=1;
magma[] = 0.996571;
magma +=1;
magma[] = 0.783977;
magma +=1;
magma[] = 0.547233;
magma +=1;
magma[] = 0.996369;
magma +=1;
magma[] = 0.791167;
magma +=1;
magma[] = 0.553499;
magma +=1;
magma[] = 0.996162;
magma +=1;
magma[] = 0.798348;
magma +=1;
magma[] = 0.55982;
magma +=1;
magma[] = 0.995932;
magma +=1;
magma[] = 0.805527;
magma +=1;
magma[] = 0.566202;
magma +=1;
magma[] = 0.99568;
magma +=1;
magma[] = 0.812706;
magma +=1;
magma[] = 0.572645;
magma +=1;
magma[] = 0.995424;
magma +=1;
magma[] = 0.819875;
magma +=1;
magma[] = 0.57914;
magma +=1;
magma[] = 0.995131;
magma +=1;
magma[] = 0.827052;
magma +=1;
magma[] = 0.585701;
magma +=1;
magma[] = 0.994851;
magma +=1;
magma[] = 0.834213;
magma +=1;
magma[] = 0.592307;
magma +=1;
magma[] = 0.994524;
magma +=1;
magma[] = 0.841387;
magma +=1;
magma[] = 0.598983;
magma +=1;
magma[] = 0.994222;
magma +=1;
magma[] = 0.84854;
magma +=1;
magma[] = 0.605696;
magma +=1;
magma[] = 0.993866;
magma +=1;
magma[] = 0.855711;
magma +=1;
magma[] = 0.612482;
magma +=1;
magma[] = 0.993545;
magma +=1;
magma[] = 0.862859;
magma +=1;
magma[] = 0.619299;
magma +=1;
magma[] = 0.99317;
magma +=1;
magma[] = 0.870024;
magma +=1;
magma[] = 0.626189;
magma +=1;
magma[] = 0.992831;
magma +=1;
magma[] = 0.877168;
magma +=1;
magma[] = 0.633109;
magma +=1;
magma[] = 0.99244;
magma +=1;
magma[] = 0.88433;
magma +=1;
magma[] = 0.640099;
magma +=1;
magma[] = 0.992089;
magma +=1;
magma[] = 0.89147;
magma +=1;
magma[] = 0.647116;
magma +=1;
magma[] = 0.991688;
magma +=1;
magma[] = 0.898627;
magma +=1;
magma[] = 0.654202;
magma +=1;
magma[] = 0.991332;
magma +=1;
magma[] = 0.905763;
magma +=1;
magma[] = 0.661309;
magma +=1;
magma[] = 0.99093;
magma +=1;
magma[] = 0.912915;
magma +=1;
magma[] = 0.668481;
magma +=1;
magma[] = 0.99057;
magma +=1;
magma[] = 0.920049;
magma +=1;
magma[] = 0.675675;
magma +=1;
magma[] = 0.990175;
magma +=1;
magma[] = 0.927196;
magma +=1;
magma[] = 0.682926;
magma +=1;
magma[] = 0.989815;
magma +=1;
magma[] = 0.934329;
magma +=1;
magma[] = 0.690198;
magma +=1;
magma[] = 0.989434;
magma +=1;
magma[] = 0.94147;
magma +=1;
magma[] = 0.697519;
magma +=1;
magma[] = 0.989077;
magma +=1;
magma[] = 0.948604;
magma +=1;
magma[] = 0.704863;
magma +=1;
magma[] = 0.988717;
magma +=1;
magma[] = 0.955742;
magma +=1;
magma[] = 0.712242;
magma +=1;
magma[] = 0.988367;
magma +=1;
magma[] = 0.962878;
magma +=1;
magma[] = 0.719649;
magma +=1;
magma[] = 0.988033;
magma +=1;
magma[] = 0.970012;
magma +=1;
magma[] = 0.727077;
magma +=1;
magma[] = 0.987691;
magma +=1;
magma[] = 0.977154;
magma +=1;
magma[] = 0.734536;
magma +=1;
magma[] = 0.987387;
magma +=1;
magma[] = 0.984288;
magma +=1;
magma[] = 0.742002;
magma +=1;
magma[] = 0.987053;
magma +=1;
magma[] = 0.991438;
magma +=1;
magma[] = 0.749504;
magma +=1;

inferno[] = 0.001462;
inferno +=1;
inferno[] = 0.000466;
inferno +=1;
inferno[] = 0.013866;
inferno +=1;
inferno[] = 0.002267;
inferno +=1;
inferno[] = 0.00127;
inferno +=1;
inferno[] = 0.01857;
inferno +=1;
inferno[] = 0.003299;
inferno +=1;
inferno[] = 0.002249;
inferno +=1;
inferno[] = 0.024239;
inferno +=1;
inferno[] = 0.004547;
inferno +=1;
inferno[] = 0.003392;
inferno +=1;
inferno[] = 0.030909;
inferno +=1;
inferno[] = 0.006006;
inferno +=1;
inferno[] = 0.004692;
inferno +=1;
inferno[] = 0.038558;
inferno +=1;
inferno[] = 0.007676;
inferno +=1;
inferno[] = 0.006136;
inferno +=1;
inferno[] = 0.046836;
inferno +=1;
inferno[] = 0.009561;
inferno +=1;
inferno[] = 0.007713;
inferno +=1;
inferno[] = 0.055143;
inferno +=1;
inferno[] = 0.011663;
inferno +=1;
inferno[] = 0.009417;
inferno +=1;
inferno[] = 0.06346;
inferno +=1;
inferno[] = 0.013995;
inferno +=1;
inferno[] = 0.011225;
inferno +=1;
inferno[] = 0.071862;
inferno +=1;
inferno[] = 0.016561;
inferno +=1;
inferno[] = 0.013136;
inferno +=1;
inferno[] = 0.080282;
inferno +=1;
inferno[] = 0.019373;
inferno +=1;
inferno[] = 0.015133;
inferno +=1;
inferno[] = 0.088767;
inferno +=1;
inferno[] = 0.022447;
inferno +=1;
inferno[] = 0.017199;
inferno +=1;
inferno[] = 0.097327;
inferno +=1;
inferno[] = 0.025793;
inferno +=1;
inferno[] = 0.019331;
inferno +=1;
inferno[] = 0.10593;
inferno +=1;
inferno[] = 0.029432;
inferno +=1;
inferno[] = 0.021503;
inferno +=1;
inferno[] = 0.114621;
inferno +=1;
inferno[] = 0.033385;
inferno +=1;
inferno[] = 0.023702;
inferno +=1;
inferno[] = 0.123397;
inferno +=1;
inferno[] = 0.037668;
inferno +=1;
inferno[] = 0.025921;
inferno +=1;
inferno[] = 0.132232;
inferno +=1;
inferno[] = 0.042253;
inferno +=1;
inferno[] = 0.028139;
inferno +=1;
inferno[] = 0.141141;
inferno +=1;
inferno[] = 0.046915;
inferno +=1;
inferno[] = 0.030324;
inferno +=1;
inferno[] = 0.150164;
inferno +=1;
inferno[] = 0.051644;
inferno +=1;
inferno[] = 0.032474;
inferno +=1;
inferno[] = 0.159254;
inferno +=1;
inferno[] = 0.056449;
inferno +=1;
inferno[] = 0.034569;
inferno +=1;
inferno[] = 0.168414;
inferno +=1;
inferno[] = 0.06134;
inferno +=1;
inferno[] = 0.03659;
inferno +=1;
inferno[] = 0.177642;
inferno +=1;
inferno[] = 0.066331;
inferno +=1;
inferno[] = 0.038504;
inferno +=1;
inferno[] = 0.186962;
inferno +=1;
inferno[] = 0.071429;
inferno +=1;
inferno[] = 0.040294;
inferno +=1;
inferno[] = 0.196354;
inferno +=1;
inferno[] = 0.076637;
inferno +=1;
inferno[] = 0.041905;
inferno +=1;
inferno[] = 0.205799;
inferno +=1;
inferno[] = 0.081962;
inferno +=1;
inferno[] = 0.043328;
inferno +=1;
inferno[] = 0.215289;
inferno +=1;
inferno[] = 0.087411;
inferno +=1;
inferno[] = 0.044556;
inferno +=1;
inferno[] = 0.224813;
inferno +=1;
inferno[] = 0.09299;
inferno +=1;
inferno[] = 0.045583;
inferno +=1;
inferno[] = 0.234358;
inferno +=1;
inferno[] = 0.098702;
inferno +=1;
inferno[] = 0.046402;
inferno +=1;
inferno[] = 0.243904;
inferno +=1;
inferno[] = 0.104551;
inferno +=1;
inferno[] = 0.047008;
inferno +=1;
inferno[] = 0.25343;
inferno +=1;
inferno[] = 0.110536;
inferno +=1;
inferno[] = 0.047399;
inferno +=1;
inferno[] = 0.262912;
inferno +=1;
inferno[] = 0.116656;
inferno +=1;
inferno[] = 0.047574;
inferno +=1;
inferno[] = 0.272321;
inferno +=1;
inferno[] = 0.122908;
inferno +=1;
inferno[] = 0.047536;
inferno +=1;
inferno[] = 0.281624;
inferno +=1;
inferno[] = 0.129285;
inferno +=1;
inferno[] = 0.047293;
inferno +=1;
inferno[] = 0.290788;
inferno +=1;
inferno[] = 0.135778;
inferno +=1;
inferno[] = 0.046856;
inferno +=1;
inferno[] = 0.299776;
inferno +=1;
inferno[] = 0.142378;
inferno +=1;
inferno[] = 0.046242;
inferno +=1;
inferno[] = 0.308553;
inferno +=1;
inferno[] = 0.149073;
inferno +=1;
inferno[] = 0.045468;
inferno +=1;
inferno[] = 0.317085;
inferno +=1;
inferno[] = 0.15585;
inferno +=1;
inferno[] = 0.044559;
inferno +=1;
inferno[] = 0.325338;
inferno +=1;
inferno[] = 0.162689;
inferno +=1;
inferno[] = 0.043554;
inferno +=1;
inferno[] = 0.333277;
inferno +=1;
inferno[] = 0.169575;
inferno +=1;
inferno[] = 0.042489;
inferno +=1;
inferno[] = 0.340874;
inferno +=1;
inferno[] = 0.176493;
inferno +=1;
inferno[] = 0.041402;
inferno +=1;
inferno[] = 0.348111;
inferno +=1;
inferno[] = 0.183429;
inferno +=1;
inferno[] = 0.040329;
inferno +=1;
inferno[] = 0.354971;
inferno +=1;
inferno[] = 0.190367;
inferno +=1;
inferno[] = 0.039309;
inferno +=1;
inferno[] = 0.361447;
inferno +=1;
inferno[] = 0.197297;
inferno +=1;
inferno[] = 0.0384;
inferno +=1;
inferno[] = 0.367535;
inferno +=1;
inferno[] = 0.204209;
inferno +=1;
inferno[] = 0.037632;
inferno +=1;
inferno[] = 0.373238;
inferno +=1;
inferno[] = 0.211095;
inferno +=1;
inferno[] = 0.03703;
inferno +=1;
inferno[] = 0.378563;
inferno +=1;
inferno[] = 0.217949;
inferno +=1;
inferno[] = 0.036615;
inferno +=1;
inferno[] = 0.383522;
inferno +=1;
inferno[] = 0.224763;
inferno +=1;
inferno[] = 0.036405;
inferno +=1;
inferno[] = 0.388129;
inferno +=1;
inferno[] = 0.231538;
inferno +=1;
inferno[] = 0.036405;
inferno +=1;
inferno[] = 0.3924;
inferno +=1;
inferno[] = 0.238273;
inferno +=1;
inferno[] = 0.036621;
inferno +=1;
inferno[] = 0.396353;
inferno +=1;
inferno[] = 0.244967;
inferno +=1;
inferno[] = 0.037055;
inferno +=1;
inferno[] = 0.400007;
inferno +=1;
inferno[] = 0.25162;
inferno +=1;
inferno[] = 0.037705;
inferno +=1;
inferno[] = 0.403378;
inferno +=1;
inferno[] = 0.258234;
inferno +=1;
inferno[] = 0.038571;
inferno +=1;
inferno[] = 0.406485;
inferno +=1;
inferno[] = 0.26481;
inferno +=1;
inferno[] = 0.039647;
inferno +=1;
inferno[] = 0.409345;
inferno +=1;
inferno[] = 0.271347;
inferno +=1;
inferno[] = 0.040922;
inferno +=1;
inferno[] = 0.411976;
inferno +=1;
inferno[] = 0.27785;
inferno +=1;
inferno[] = 0.042353;
inferno +=1;
inferno[] = 0.414392;
inferno +=1;
inferno[] = 0.284321;
inferno +=1;
inferno[] = 0.043933;
inferno +=1;
inferno[] = 0.416608;
inferno +=1;
inferno[] = 0.290763;
inferno +=1;
inferno[] = 0.045644;
inferno +=1;
inferno[] = 0.418637;
inferno +=1;
inferno[] = 0.297178;
inferno +=1;
inferno[] = 0.04747;
inferno +=1;
inferno[] = 0.420491;
inferno +=1;
inferno[] = 0.303568;
inferno +=1;
inferno[] = 0.049396;
inferno +=1;
inferno[] = 0.422182;
inferno +=1;
inferno[] = 0.309935;
inferno +=1;
inferno[] = 0.051407;
inferno +=1;
inferno[] = 0.423721;
inferno +=1;
inferno[] = 0.316282;
inferno +=1;
inferno[] = 0.05349;
inferno +=1;
inferno[] = 0.425116;
inferno +=1;
inferno[] = 0.32261;
inferno +=1;
inferno[] = 0.055634;
inferno +=1;
inferno[] = 0.426377;
inferno +=1;
inferno[] = 0.328921;
inferno +=1;
inferno[] = 0.057827;
inferno +=1;
inferno[] = 0.427511;
inferno +=1;
inferno[] = 0.335217;
inferno +=1;
inferno[] = 0.06006;
inferno +=1;
inferno[] = 0.428524;
inferno +=1;
inferno[] = 0.3415;
inferno +=1;
inferno[] = 0.062325;
inferno +=1;
inferno[] = 0.429425;
inferno +=1;
inferno[] = 0.347771;
inferno +=1;
inferno[] = 0.064616;
inferno +=1;
inferno[] = 0.430217;
inferno +=1;
inferno[] = 0.354032;
inferno +=1;
inferno[] = 0.066925;
inferno +=1;
inferno[] = 0.430906;
inferno +=1;
inferno[] = 0.360284;
inferno +=1;
inferno[] = 0.069247;
inferno +=1;
inferno[] = 0.431497;
inferno +=1;
inferno[] = 0.366529;
inferno +=1;
inferno[] = 0.071579;
inferno +=1;
inferno[] = 0.431994;
inferno +=1;
inferno[] = 0.372768;
inferno +=1;
inferno[] = 0.073915;
inferno +=1;
inferno[] = 0.4324;
inferno +=1;
inferno[] = 0.379001;
inferno +=1;
inferno[] = 0.076253;
inferno +=1;
inferno[] = 0.432719;
inferno +=1;
inferno[] = 0.385228;
inferno +=1;
inferno[] = 0.078591;
inferno +=1;
inferno[] = 0.432955;
inferno +=1;
inferno[] = 0.391453;
inferno +=1;
inferno[] = 0.080927;
inferno +=1;
inferno[] = 0.433109;
inferno +=1;
inferno[] = 0.397674;
inferno +=1;
inferno[] = 0.083257;
inferno +=1;
inferno[] = 0.433183;
inferno +=1;
inferno[] = 0.403894;
inferno +=1;
inferno[] = 0.08558;
inferno +=1;
inferno[] = 0.433179;
inferno +=1;
inferno[] = 0.410113;
inferno +=1;
inferno[] = 0.087896;
inferno +=1;
inferno[] = 0.433098;
inferno +=1;
inferno[] = 0.416331;
inferno +=1;
inferno[] = 0.090203;
inferno +=1;
inferno[] = 0.432943;
inferno +=1;
inferno[] = 0.422549;
inferno +=1;
inferno[] = 0.092501;
inferno +=1;
inferno[] = 0.432714;
inferno +=1;
inferno[] = 0.428768;
inferno +=1;
inferno[] = 0.09479;
inferno +=1;
inferno[] = 0.432412;
inferno +=1;
inferno[] = 0.434987;
inferno +=1;
inferno[] = 0.097069;
inferno +=1;
inferno[] = 0.432039;
inferno +=1;
inferno[] = 0.441207;
inferno +=1;
inferno[] = 0.099338;
inferno +=1;
inferno[] = 0.431594;
inferno +=1;
inferno[] = 0.447428;
inferno +=1;
inferno[] = 0.101597;
inferno +=1;
inferno[] = 0.43108;
inferno +=1;
inferno[] = 0.453651;
inferno +=1;
inferno[] = 0.103848;
inferno +=1;
inferno[] = 0.430498;
inferno +=1;
inferno[] = 0.459875;
inferno +=1;
inferno[] = 0.106089;
inferno +=1;
inferno[] = 0.429846;
inferno +=1;
inferno[] = 0.4661;
inferno +=1;
inferno[] = 0.108322;
inferno +=1;
inferno[] = 0.429125;
inferno +=1;
inferno[] = 0.472328;
inferno +=1;
inferno[] = 0.110547;
inferno +=1;
inferno[] = 0.428334;
inferno +=1;
inferno[] = 0.478558;
inferno +=1;
inferno[] = 0.112764;
inferno +=1;
inferno[] = 0.427475;
inferno +=1;
inferno[] = 0.484789;
inferno +=1;
inferno[] = 0.114974;
inferno +=1;
inferno[] = 0.426548;
inferno +=1;
inferno[] = 0.491022;
inferno +=1;
inferno[] = 0.117179;
inferno +=1;
inferno[] = 0.425552;
inferno +=1;
inferno[] = 0.497257;
inferno +=1;
inferno[] = 0.119379;
inferno +=1;
inferno[] = 0.424488;
inferno +=1;
inferno[] = 0.503493;
inferno +=1;
inferno[] = 0.121575;
inferno +=1;
inferno[] = 0.423356;
inferno +=1;
inferno[] = 0.50973;
inferno +=1;
inferno[] = 0.123769;
inferno +=1;
inferno[] = 0.422156;
inferno +=1;
inferno[] = 0.515967;
inferno +=1;
inferno[] = 0.12596;
inferno +=1;
inferno[] = 0.420887;
inferno +=1;
inferno[] = 0.522206;
inferno +=1;
inferno[] = 0.12815;
inferno +=1;
inferno[] = 0.419549;
inferno +=1;
inferno[] = 0.528444;
inferno +=1;
inferno[] = 0.130341;
inferno +=1;
inferno[] = 0.418142;
inferno +=1;
inferno[] = 0.534683;
inferno +=1;
inferno[] = 0.132534;
inferno +=1;
inferno[] = 0.416667;
inferno +=1;
inferno[] = 0.54092;
inferno +=1;
inferno[] = 0.134729;
inferno +=1;
inferno[] = 0.415123;
inferno +=1;
inferno[] = 0.547157;
inferno +=1;
inferno[] = 0.136929;
inferno +=1;
inferno[] = 0.413511;
inferno +=1;
inferno[] = 0.553392;
inferno +=1;
inferno[] = 0.139134;
inferno +=1;
inferno[] = 0.411829;
inferno +=1;
inferno[] = 0.559624;
inferno +=1;
inferno[] = 0.141346;
inferno +=1;
inferno[] = 0.410078;
inferno +=1;
inferno[] = 0.565854;
inferno +=1;
inferno[] = 0.143567;
inferno +=1;
inferno[] = 0.408258;
inferno +=1;
inferno[] = 0.572081;
inferno +=1;
inferno[] = 0.145797;
inferno +=1;
inferno[] = 0.406369;
inferno +=1;
inferno[] = 0.578304;
inferno +=1;
inferno[] = 0.148039;
inferno +=1;
inferno[] = 0.404411;
inferno +=1;
inferno[] = 0.584521;
inferno +=1;
inferno[] = 0.150294;
inferno +=1;
inferno[] = 0.402385;
inferno +=1;
inferno[] = 0.590734;
inferno +=1;
inferno[] = 0.152563;
inferno +=1;
inferno[] = 0.40029;
inferno +=1;
inferno[] = 0.59694;
inferno +=1;
inferno[] = 0.154848;
inferno +=1;
inferno[] = 0.398125;
inferno +=1;
inferno[] = 0.603139;
inferno +=1;
inferno[] = 0.157151;
inferno +=1;
inferno[] = 0.395891;
inferno +=1;
inferno[] = 0.60933;
inferno +=1;
inferno[] = 0.159474;
inferno +=1;
inferno[] = 0.393589;
inferno +=1;
inferno[] = 0.615513;
inferno +=1;
inferno[] = 0.161817;
inferno +=1;
inferno[] = 0.391219;
inferno +=1;
inferno[] = 0.621685;
inferno +=1;
inferno[] = 0.164184;
inferno +=1;
inferno[] = 0.388781;
inferno +=1;
inferno[] = 0.627847;
inferno +=1;
inferno[] = 0.166575;
inferno +=1;
inferno[] = 0.386276;
inferno +=1;
inferno[] = 0.633998;
inferno +=1;
inferno[] = 0.168992;
inferno +=1;
inferno[] = 0.383704;
inferno +=1;
inferno[] = 0.640135;
inferno +=1;
inferno[] = 0.171438;
inferno +=1;
inferno[] = 0.381065;
inferno +=1;
inferno[] = 0.64626;
inferno +=1;
inferno[] = 0.173914;
inferno +=1;
inferno[] = 0.378359;
inferno +=1;
inferno[] = 0.652369;
inferno +=1;
inferno[] = 0.176421;
inferno +=1;
inferno[] = 0.375586;
inferno +=1;
inferno[] = 0.658463;
inferno +=1;
inferno[] = 0.178962;
inferno +=1;
inferno[] = 0.372748;
inferno +=1;
inferno[] = 0.66454;
inferno +=1;
inferno[] = 0.181539;
inferno +=1;
inferno[] = 0.369846;
inferno +=1;
inferno[] = 0.670599;
inferno +=1;
inferno[] = 0.184153;
inferno +=1;
inferno[] = 0.366879;
inferno +=1;
inferno[] = 0.676638;
inferno +=1;
inferno[] = 0.186807;
inferno +=1;
inferno[] = 0.363849;
inferno +=1;
inferno[] = 0.682656;
inferno +=1;
inferno[] = 0.189501;
inferno +=1;
inferno[] = 0.360757;
inferno +=1;
inferno[] = 0.688653;
inferno +=1;
inferno[] = 0.192239;
inferno +=1;
inferno[] = 0.357603;
inferno +=1;
inferno[] = 0.694627;
inferno +=1;
inferno[] = 0.195021;
inferno +=1;
inferno[] = 0.354388;
inferno +=1;
inferno[] = 0.700576;
inferno +=1;
inferno[] = 0.197851;
inferno +=1;
inferno[] = 0.351113;
inferno +=1;
inferno[] = 0.7065;
inferno +=1;
inferno[] = 0.200728;
inferno +=1;
inferno[] = 0.347777;
inferno +=1;
inferno[] = 0.712396;
inferno +=1;
inferno[] = 0.203656;
inferno +=1;
inferno[] = 0.344383;
inferno +=1;
inferno[] = 0.718264;
inferno +=1;
inferno[] = 0.206636;
inferno +=1;
inferno[] = 0.340931;
inferno +=1;
inferno[] = 0.724103;
inferno +=1;
inferno[] = 0.20967;
inferno +=1;
inferno[] = 0.337424;
inferno +=1;
inferno[] = 0.729909;
inferno +=1;
inferno[] = 0.212759;
inferno +=1;
inferno[] = 0.333861;
inferno +=1;
inferno[] = 0.735683;
inferno +=1;
inferno[] = 0.215906;
inferno +=1;
inferno[] = 0.330245;
inferno +=1;
inferno[] = 0.741423;
inferno +=1;
inferno[] = 0.219112;
inferno +=1;
inferno[] = 0.326576;
inferno +=1;
inferno[] = 0.747127;
inferno +=1;
inferno[] = 0.222378;
inferno +=1;
inferno[] = 0.322856;
inferno +=1;
inferno[] = 0.752794;
inferno +=1;
inferno[] = 0.225706;
inferno +=1;
inferno[] = 0.319085;
inferno +=1;
inferno[] = 0.758422;
inferno +=1;
inferno[] = 0.229097;
inferno +=1;
inferno[] = 0.315266;
inferno +=1;
inferno[] = 0.76401;
inferno +=1;
inferno[] = 0.232554;
inferno +=1;
inferno[] = 0.311399;
inferno +=1;
inferno[] = 0.769556;
inferno +=1;
inferno[] = 0.236077;
inferno +=1;
inferno[] = 0.307485;
inferno +=1;
inferno[] = 0.775059;
inferno +=1;
inferno[] = 0.239667;
inferno +=1;
inferno[] = 0.303526;
inferno +=1;
inferno[] = 0.780517;
inferno +=1;
inferno[] = 0.243327;
inferno +=1;
inferno[] = 0.299523;
inferno +=1;
inferno[] = 0.785929;
inferno +=1;
inferno[] = 0.247056;
inferno +=1;
inferno[] = 0.295477;
inferno +=1;
inferno[] = 0.791293;
inferno +=1;
inferno[] = 0.250856;
inferno +=1;
inferno[] = 0.29139;
inferno +=1;
inferno[] = 0.796607;
inferno +=1;
inferno[] = 0.254728;
inferno +=1;
inferno[] = 0.287264;
inferno +=1;
inferno[] = 0.801871;
inferno +=1;
inferno[] = 0.258674;
inferno +=1;
inferno[] = 0.283099;
inferno +=1;
inferno[] = 0.807082;
inferno +=1;
inferno[] = 0.262692;
inferno +=1;
inferno[] = 0.278898;
inferno +=1;
inferno[] = 0.812239;
inferno +=1;
inferno[] = 0.266786;
inferno +=1;
inferno[] = 0.274661;
inferno +=1;
inferno[] = 0.817341;
inferno +=1;
inferno[] = 0.270954;
inferno +=1;
inferno[] = 0.27039;
inferno +=1;
inferno[] = 0.822386;
inferno +=1;
inferno[] = 0.275197;
inferno +=1;
inferno[] = 0.266085;
inferno +=1;
inferno[] = 0.827372;
inferno +=1;
inferno[] = 0.279517;
inferno +=1;
inferno[] = 0.26175;
inferno +=1;
inferno[] = 0.832299;
inferno +=1;
inferno[] = 0.283913;
inferno +=1;
inferno[] = 0.257383;
inferno +=1;
inferno[] = 0.837165;
inferno +=1;
inferno[] = 0.288385;
inferno +=1;
inferno[] = 0.252988;
inferno +=1;
inferno[] = 0.841969;
inferno +=1;
inferno[] = 0.292933;
inferno +=1;
inferno[] = 0.248564;
inferno +=1;
inferno[] = 0.846709;
inferno +=1;
inferno[] = 0.297559;
inferno +=1;
inferno[] = 0.244113;
inferno +=1;
inferno[] = 0.851384;
inferno +=1;
inferno[] = 0.30226;
inferno +=1;
inferno[] = 0.239636;
inferno +=1;
inferno[] = 0.855992;
inferno +=1;
inferno[] = 0.307038;
inferno +=1;
inferno[] = 0.235133;
inferno +=1;
inferno[] = 0.860533;
inferno +=1;
inferno[] = 0.311892;
inferno +=1;
inferno[] = 0.230606;
inferno +=1;
inferno[] = 0.865006;
inferno +=1;
inferno[] = 0.316822;
inferno +=1;
inferno[] = 0.226055;
inferno +=1;
inferno[] = 0.869409;
inferno +=1;
inferno[] = 0.321827;
inferno +=1;
inferno[] = 0.221482;
inferno +=1;
inferno[] = 0.873741;
inferno +=1;
inferno[] = 0.326906;
inferno +=1;
inferno[] = 0.216886;
inferno +=1;
inferno[] = 0.878001;
inferno +=1;
inferno[] = 0.33206;
inferno +=1;
inferno[] = 0.212268;
inferno +=1;
inferno[] = 0.882188;
inferno +=1;
inferno[] = 0.337287;
inferno +=1;
inferno[] = 0.207628;
inferno +=1;
inferno[] = 0.886302;
inferno +=1;
inferno[] = 0.342586;
inferno +=1;
inferno[] = 0.202968;
inferno +=1;
inferno[] = 0.890341;
inferno +=1;
inferno[] = 0.347957;
inferno +=1;
inferno[] = 0.198286;
inferno +=1;
inferno[] = 0.894305;
inferno +=1;
inferno[] = 0.353399;
inferno +=1;
inferno[] = 0.193584;
inferno +=1;
inferno[] = 0.898192;
inferno +=1;
inferno[] = 0.358911;
inferno +=1;
inferno[] = 0.18886;
inferno +=1;
inferno[] = 0.902003;
inferno +=1;
inferno[] = 0.364492;
inferno +=1;
inferno[] = 0.184116;
inferno +=1;
inferno[] = 0.905735;
inferno +=1;
inferno[] = 0.37014;
inferno +=1;
inferno[] = 0.17935;
inferno +=1;
inferno[] = 0.90939;
inferno +=1;
inferno[] = 0.375856;
inferno +=1;
inferno[] = 0.174563;
inferno +=1;
inferno[] = 0.912966;
inferno +=1;
inferno[] = 0.381636;
inferno +=1;
inferno[] = 0.169755;
inferno +=1;
inferno[] = 0.916462;
inferno +=1;
inferno[] = 0.387481;
inferno +=1;
inferno[] = 0.164924;
inferno +=1;
inferno[] = 0.919879;
inferno +=1;
inferno[] = 0.393389;
inferno +=1;
inferno[] = 0.16007;
inferno +=1;
inferno[] = 0.923215;
inferno +=1;
inferno[] = 0.399359;
inferno +=1;
inferno[] = 0.155193;
inferno +=1;
inferno[] = 0.92647;
inferno +=1;
inferno[] = 0.405389;
inferno +=1;
inferno[] = 0.150292;
inferno +=1;
inferno[] = 0.929644;
inferno +=1;
inferno[] = 0.411479;
inferno +=1;
inferno[] = 0.145367;
inferno +=1;
inferno[] = 0.932737;
inferno +=1;
inferno[] = 0.417627;
inferno +=1;
inferno[] = 0.140417;
inferno +=1;
inferno[] = 0.935747;
inferno +=1;
inferno[] = 0.423831;
inferno +=1;
inferno[] = 0.13544;
inferno +=1;
inferno[] = 0.938675;
inferno +=1;
inferno[] = 0.430091;
inferno +=1;
inferno[] = 0.130438;
inferno +=1;
inferno[] = 0.941521;
inferno +=1;
inferno[] = 0.436405;
inferno +=1;
inferno[] = 0.125409;
inferno +=1;
inferno[] = 0.944285;
inferno +=1;
inferno[] = 0.442772;
inferno +=1;
inferno[] = 0.120354;
inferno +=1;
inferno[] = 0.946965;
inferno +=1;
inferno[] = 0.449191;
inferno +=1;
inferno[] = 0.115272;
inferno +=1;
inferno[] = 0.949562;
inferno +=1;
inferno[] = 0.45566;
inferno +=1;
inferno[] = 0.110164;
inferno +=1;
inferno[] = 0.952075;
inferno +=1;
inferno[] = 0.462178;
inferno +=1;
inferno[] = 0.105031;
inferno +=1;
inferno[] = 0.954506;
inferno +=1;
inferno[] = 0.468744;
inferno +=1;
inferno[] = 0.099874;
inferno +=1;
inferno[] = 0.956852;
inferno +=1;
inferno[] = 0.475356;
inferno +=1;
inferno[] = 0.094695;
inferno +=1;
inferno[] = 0.959114;
inferno +=1;
inferno[] = 0.482014;
inferno +=1;
inferno[] = 0.089499;
inferno +=1;
inferno[] = 0.961293;
inferno +=1;
inferno[] = 0.488716;
inferno +=1;
inferno[] = 0.084289;
inferno +=1;
inferno[] = 0.963387;
inferno +=1;
inferno[] = 0.495462;
inferno +=1;
inferno[] = 0.079073;
inferno +=1;
inferno[] = 0.965397;
inferno +=1;
inferno[] = 0.502249;
inferno +=1;
inferno[] = 0.073859;
inferno +=1;
inferno[] = 0.967322;
inferno +=1;
inferno[] = 0.509078;
inferno +=1;
inferno[] = 0.068659;
inferno +=1;
inferno[] = 0.969163;
inferno +=1;
inferno[] = 0.515946;
inferno +=1;
inferno[] = 0.063488;
inferno +=1;
inferno[] = 0.970919;
inferno +=1;
inferno[] = 0.522853;
inferno +=1;
inferno[] = 0.058367;
inferno +=1;
inferno[] = 0.97259;
inferno +=1;
inferno[] = 0.529798;
inferno +=1;
inferno[] = 0.053324;
inferno +=1;
inferno[] = 0.974176;
inferno +=1;
inferno[] = 0.53678;
inferno +=1;
inferno[] = 0.048392;
inferno +=1;
inferno[] = 0.975677;
inferno +=1;
inferno[] = 0.543798;
inferno +=1;
inferno[] = 0.043618;
inferno +=1;
inferno[] = 0.977092;
inferno +=1;
inferno[] = 0.55085;
inferno +=1;
inferno[] = 0.03905;
inferno +=1;
inferno[] = 0.978422;
inferno +=1;
inferno[] = 0.557937;
inferno +=1;
inferno[] = 0.034931;
inferno +=1;
inferno[] = 0.979666;
inferno +=1;
inferno[] = 0.565057;
inferno +=1;
inferno[] = 0.031409;
inferno +=1;
inferno[] = 0.980824;
inferno +=1;
inferno[] = 0.572209;
inferno +=1;
inferno[] = 0.028508;
inferno +=1;
inferno[] = 0.981895;
inferno +=1;
inferno[] = 0.579392;
inferno +=1;
inferno[] = 0.02625;
inferno +=1;
inferno[] = 0.982881;
inferno +=1;
inferno[] = 0.586606;
inferno +=1;
inferno[] = 0.024661;
inferno +=1;
inferno[] = 0.983779;
inferno +=1;
inferno[] = 0.593849;
inferno +=1;
inferno[] = 0.02377;
inferno +=1;
inferno[] = 0.984591;
inferno +=1;
inferno[] = 0.601122;
inferno +=1;
inferno[] = 0.023606;
inferno +=1;
inferno[] = 0.985315;
inferno +=1;
inferno[] = 0.608422;
inferno +=1;
inferno[] = 0.024202;
inferno +=1;
inferno[] = 0.985952;
inferno +=1;
inferno[] = 0.61575;
inferno +=1;
inferno[] = 0.025592;
inferno +=1;
inferno[] = 0.986502;
inferno +=1;
inferno[] = 0.623105;
inferno +=1;
inferno[] = 0.027814;
inferno +=1;
inferno[] = 0.986964;
inferno +=1;
inferno[] = 0.630485;
inferno +=1;
inferno[] = 0.030908;
inferno +=1;
inferno[] = 0.987337;
inferno +=1;
inferno[] = 0.63789;
inferno +=1;
inferno[] = 0.034916;
inferno +=1;
inferno[] = 0.987622;
inferno +=1;
inferno[] = 0.64532;
inferno +=1;
inferno[] = 0.039886;
inferno +=1;
inferno[] = 0.987819;
inferno +=1;
inferno[] = 0.652773;
inferno +=1;
inferno[] = 0.045581;
inferno +=1;
inferno[] = 0.987926;
inferno +=1;
inferno[] = 0.66025;
inferno +=1;
inferno[] = 0.05175;
inferno +=1;
inferno[] = 0.987945;
inferno +=1;
inferno[] = 0.667748;
inferno +=1;
inferno[] = 0.058329;
inferno +=1;
inferno[] = 0.987874;
inferno +=1;
inferno[] = 0.675267;
inferno +=1;
inferno[] = 0.065257;
inferno +=1;
inferno[] = 0.987714;
inferno +=1;
inferno[] = 0.682807;
inferno +=1;
inferno[] = 0.072489;
inferno +=1;
inferno[] = 0.987464;
inferno +=1;
inferno[] = 0.690366;
inferno +=1;
inferno[] = 0.07999;
inferno +=1;
inferno[] = 0.987124;
inferno +=1;
inferno[] = 0.697944;
inferno +=1;
inferno[] = 0.087731;
inferno +=1;
inferno[] = 0.986694;
inferno +=1;
inferno[] = 0.70554;
inferno +=1;
inferno[] = 0.095694;
inferno +=1;
inferno[] = 0.986175;
inferno +=1;
inferno[] = 0.713153;
inferno +=1;
inferno[] = 0.103863;
inferno +=1;
inferno[] = 0.985566;
inferno +=1;
inferno[] = 0.720782;
inferno +=1;
inferno[] = 0.112229;
inferno +=1;
inferno[] = 0.984865;
inferno +=1;
inferno[] = 0.728427;
inferno +=1;
inferno[] = 0.120785;
inferno +=1;
inferno[] = 0.984075;
inferno +=1;
inferno[] = 0.736087;
inferno +=1;
inferno[] = 0.129527;
inferno +=1;
inferno[] = 0.983196;
inferno +=1;
inferno[] = 0.743758;
inferno +=1;
inferno[] = 0.138453;
inferno +=1;
inferno[] = 0.982228;
inferno +=1;
inferno[] = 0.751442;
inferno +=1;
inferno[] = 0.147565;
inferno +=1;
inferno[] = 0.981173;
inferno +=1;
inferno[] = 0.759135;
inferno +=1;
inferno[] = 0.156863;
inferno +=1;
inferno[] = 0.980032;
inferno +=1;
inferno[] = 0.766837;
inferno +=1;
inferno[] = 0.166353;
inferno +=1;
inferno[] = 0.978806;
inferno +=1;
inferno[] = 0.774545;
inferno +=1;
inferno[] = 0.176037;
inferno +=1;
inferno[] = 0.977497;
inferno +=1;
inferno[] = 0.782258;
inferno +=1;
inferno[] = 0.185923;
inferno +=1;
inferno[] = 0.976108;
inferno +=1;
inferno[] = 0.789974;
inferno +=1;
inferno[] = 0.196018;
inferno +=1;
inferno[] = 0.974638;
inferno +=1;
inferno[] = 0.797692;
inferno +=1;
inferno[] = 0.206332;
inferno +=1;
inferno[] = 0.973088;
inferno +=1;
inferno[] = 0.805409;
inferno +=1;
inferno[] = 0.216877;
inferno +=1;
inferno[] = 0.971468;
inferno +=1;
inferno[] = 0.813122;
inferno +=1;
inferno[] = 0.227658;
inferno +=1;
inferno[] = 0.969783;
inferno +=1;
inferno[] = 0.820825;
inferno +=1;
inferno[] = 0.238686;
inferno +=1;
inferno[] = 0.968041;
inferno +=1;
inferno[] = 0.828515;
inferno +=1;
inferno[] = 0.249972;
inferno +=1;
inferno[] = 0.966243;
inferno +=1;
inferno[] = 0.836191;
inferno +=1;
inferno[] = 0.261534;
inferno +=1;
inferno[] = 0.964394;
inferno +=1;
inferno[] = 0.843848;
inferno +=1;
inferno[] = 0.273391;
inferno +=1;
inferno[] = 0.962517;
inferno +=1;
inferno[] = 0.851476;
inferno +=1;
inferno[] = 0.285546;
inferno +=1;
inferno[] = 0.960626;
inferno +=1;
inferno[] = 0.859069;
inferno +=1;
inferno[] = 0.29801;
inferno +=1;
inferno[] = 0.95872;
inferno +=1;
inferno[] = 0.866624;
inferno +=1;
inferno[] = 0.31082;
inferno +=1;
inferno[] = 0.956834;
inferno +=1;
inferno[] = 0.874129;
inferno +=1;
inferno[] = 0.323974;
inferno +=1;
inferno[] = 0.954997;
inferno +=1;
inferno[] = 0.881569;
inferno +=1;
inferno[] = 0.337475;
inferno +=1;
inferno[] = 0.953215;
inferno +=1;
inferno[] = 0.888942;
inferno +=1;
inferno[] = 0.351369;
inferno +=1;
inferno[] = 0.951546;
inferno +=1;
inferno[] = 0.896226;
inferno +=1;
inferno[] = 0.365627;
inferno +=1;
inferno[] = 0.950018;
inferno +=1;
inferno[] = 0.903409;
inferno +=1;
inferno[] = 0.380271;
inferno +=1;
inferno[] = 0.948683;
inferno +=1;
inferno[] = 0.910473;
inferno +=1;
inferno[] = 0.395289;
inferno +=1;
inferno[] = 0.947594;
inferno +=1;
inferno[] = 0.917399;
inferno +=1;
inferno[] = 0.410665;
inferno +=1;
inferno[] = 0.946809;
inferno +=1;
inferno[] = 0.924168;
inferno +=1;
inferno[] = 0.426373;
inferno +=1;
inferno[] = 0.946392;
inferno +=1;
inferno[] = 0.930761;
inferno +=1;
inferno[] = 0.442367;
inferno +=1;
inferno[] = 0.946403;
inferno +=1;
inferno[] = 0.937159;
inferno +=1;
inferno[] = 0.458592;
inferno +=1;
inferno[] = 0.946903;
inferno +=1;
inferno[] = 0.943348;
inferno +=1;
inferno[] = 0.47497;
inferno +=1;
inferno[] = 0.947937;
inferno +=1;
inferno[] = 0.949318;
inferno +=1;
inferno[] = 0.491426;
inferno +=1;
inferno[] = 0.949545;
inferno +=1;
inferno[] = 0.955063;
inferno +=1;
inferno[] = 0.50786;
inferno +=1;
inferno[] = 0.95174;
inferno +=1;
inferno[] = 0.960587;
inferno +=1;
inferno[] = 0.524203;
inferno +=1;
inferno[] = 0.954529;
inferno +=1;
inferno[] = 0.965896;
inferno +=1;
inferno[] = 0.540361;
inferno +=1;
inferno[] = 0.957896;
inferno +=1;
inferno[] = 0.971003;
inferno +=1;
inferno[] = 0.556275;
inferno +=1;
inferno[] = 0.961812;
inferno +=1;
inferno[] = 0.975924;
inferno +=1;
inferno[] = 0.571925;
inferno +=1;
inferno[] = 0.966249;
inferno +=1;
inferno[] = 0.980678;
inferno +=1;
inferno[] = 0.587206;
inferno +=1;
inferno[] = 0.971162;
inferno +=1;
inferno[] = 0.985282;
inferno +=1;
inferno[] = 0.602154;
inferno +=1;
inferno[] = 0.976511;
inferno +=1;
inferno[] = 0.989753;
inferno +=1;
inferno[] = 0.61676;
inferno +=1;
inferno[] = 0.982257;
inferno +=1;
inferno[] = 0.994109;
inferno +=1;
inferno[] = 0.631017;
inferno +=1;
inferno[] = 0.988362;
inferno +=1;
inferno[] = 0.998364;
inferno +=1;
inferno[] = 0.644924;
inferno +=1;

viridis[] = 0.267004;
viridis +=1;
viridis[] = 0.004874;
viridis +=1;
viridis[] = 0.329415;
viridis +=1;
viridis[] = 0.26851;
viridis +=1;
viridis[] = 0.009605;
viridis +=1;
viridis[] = 0.335427;
viridis +=1;
viridis[] = 0.269944;
viridis +=1;
viridis[] = 0.014625;
viridis +=1;
viridis[] = 0.341379;
viridis +=1;
viridis[] = 0.271305;
viridis +=1;
viridis[] = 0.019942;
viridis +=1;
viridis[] = 0.347269;
viridis +=1;
viridis[] = 0.272594;
viridis +=1;
viridis[] = 0.025563;
viridis +=1;
viridis[] = 0.353093;
viridis +=1;
viridis[] = 0.273809;
viridis +=1;
viridis[] = 0.031497;
viridis +=1;
viridis[] = 0.358853;
viridis +=1;
viridis[] = 0.274952;
viridis +=1;
viridis[] = 0.037752;
viridis +=1;
viridis[] = 0.364543;
viridis +=1;
viridis[] = 0.276022;
viridis +=1;
viridis[] = 0.044167;
viridis +=1;
viridis[] = 0.370164;
viridis +=1;
viridis[] = 0.277018;
viridis +=1;
viridis[] = 0.050344;
viridis +=1;
viridis[] = 0.375715;
viridis +=1;
viridis[] = 0.277941;
viridis +=1;
viridis[] = 0.056324;
viridis +=1;
viridis[] = 0.381191;
viridis +=1;
viridis[] = 0.278791;
viridis +=1;
viridis[] = 0.062145;
viridis +=1;
viridis[] = 0.386592;
viridis +=1;
viridis[] = 0.279566;
viridis +=1;
viridis[] = 0.067836;
viridis +=1;
viridis[] = 0.391917;
viridis +=1;
viridis[] = 0.280267;
viridis +=1;
viridis[] = 0.073417;
viridis +=1;
viridis[] = 0.397163;
viridis +=1;
viridis[] = 0.280894;
viridis +=1;
viridis[] = 0.078907;
viridis +=1;
viridis[] = 0.402329;
viridis +=1;
viridis[] = 0.281446;
viridis +=1;
viridis[] = 0.08432;
viridis +=1;
viridis[] = 0.407414;
viridis +=1;
viridis[] = 0.281924;
viridis +=1;
viridis[] = 0.089666;
viridis +=1;
viridis[] = 0.412415;
viridis +=1;
viridis[] = 0.282327;
viridis +=1;
viridis[] = 0.094955;
viridis +=1;
viridis[] = 0.417331;
viridis +=1;
viridis[] = 0.282656;
viridis +=1;
viridis[] = 0.100196;
viridis +=1;
viridis[] = 0.42216;
viridis +=1;
viridis[] = 0.28291;
viridis +=1;
viridis[] = 0.105393;
viridis +=1;
viridis[] = 0.426902;
viridis +=1;
viridis[] = 0.283091;
viridis +=1;
viridis[] = 0.110553;
viridis +=1;
viridis[] = 0.431554;
viridis +=1;
viridis[] = 0.283197;
viridis +=1;
viridis[] = 0.11568;
viridis +=1;
viridis[] = 0.436115;
viridis +=1;
viridis[] = 0.283229;
viridis +=1;
viridis[] = 0.120777;
viridis +=1;
viridis[] = 0.440584;
viridis +=1;
viridis[] = 0.283187;
viridis +=1;
viridis[] = 0.125848;
viridis +=1;
viridis[] = 0.44496;
viridis +=1;
viridis[] = 0.283072;
viridis +=1;
viridis[] = 0.130895;
viridis +=1;
viridis[] = 0.449241;
viridis +=1;
viridis[] = 0.282884;
viridis +=1;
viridis[] = 0.13592;
viridis +=1;
viridis[] = 0.453427;
viridis +=1;
viridis[] = 0.282623;
viridis +=1;
viridis[] = 0.140926;
viridis +=1;
viridis[] = 0.457517;
viridis +=1;
viridis[] = 0.28229;
viridis +=1;
viridis[] = 0.145912;
viridis +=1;
viridis[] = 0.46151;
viridis +=1;
viridis[] = 0.281887;
viridis +=1;
viridis[] = 0.150881;
viridis +=1;
viridis[] = 0.465405;
viridis +=1;
viridis[] = 0.281412;
viridis +=1;
viridis[] = 0.155834;
viridis +=1;
viridis[] = 0.469201;
viridis +=1;
viridis[] = 0.280868;
viridis +=1;
viridis[] = 0.160771;
viridis +=1;
viridis[] = 0.472899;
viridis +=1;
viridis[] = 0.280255;
viridis +=1;
viridis[] = 0.165693;
viridis +=1;
viridis[] = 0.476498;
viridis +=1;
viridis[] = 0.279574;
viridis +=1;
viridis[] = 0.170599;
viridis +=1;
viridis[] = 0.479997;
viridis +=1;
viridis[] = 0.278826;
viridis +=1;
viridis[] = 0.17549;
viridis +=1;
viridis[] = 0.483397;
viridis +=1;
viridis[] = 0.278012;
viridis +=1;
viridis[] = 0.180367;
viridis +=1;
viridis[] = 0.486697;
viridis +=1;
viridis[] = 0.277134;
viridis +=1;
viridis[] = 0.185228;
viridis +=1;
viridis[] = 0.489898;
viridis +=1;
viridis[] = 0.276194;
viridis +=1;
viridis[] = 0.190074;
viridis +=1;
viridis[] = 0.493001;
viridis +=1;
viridis[] = 0.275191;
viridis +=1;
viridis[] = 0.194905;
viridis +=1;
viridis[] = 0.496005;
viridis +=1;
viridis[] = 0.274128;
viridis +=1;
viridis[] = 0.199721;
viridis +=1;
viridis[] = 0.498911;
viridis +=1;
viridis[] = 0.273006;
viridis +=1;
viridis[] = 0.20452;
viridis +=1;
viridis[] = 0.501721;
viridis +=1;
viridis[] = 0.271828;
viridis +=1;
viridis[] = 0.209303;
viridis +=1;
viridis[] = 0.504434;
viridis +=1;
viridis[] = 0.270595;
viridis +=1;
viridis[] = 0.214069;
viridis +=1;
viridis[] = 0.507052;
viridis +=1;
viridis[] = 0.269308;
viridis +=1;
viridis[] = 0.218818;
viridis +=1;
viridis[] = 0.509577;
viridis +=1;
viridis[] = 0.267968;
viridis +=1;
viridis[] = 0.223549;
viridis +=1;
viridis[] = 0.512008;
viridis +=1;
viridis[] = 0.26658;
viridis +=1;
viridis[] = 0.228262;
viridis +=1;
viridis[] = 0.514349;
viridis +=1;
viridis[] = 0.265145;
viridis +=1;
viridis[] = 0.232956;
viridis +=1;
viridis[] = 0.516599;
viridis +=1;
viridis[] = 0.263663;
viridis +=1;
viridis[] = 0.237631;
viridis +=1;
viridis[] = 0.518762;
viridis +=1;
viridis[] = 0.262138;
viridis +=1;
viridis[] = 0.242286;
viridis +=1;
viridis[] = 0.520837;
viridis +=1;
viridis[] = 0.260571;
viridis +=1;
viridis[] = 0.246922;
viridis +=1;
viridis[] = 0.522828;
viridis +=1;
viridis[] = 0.258965;
viridis +=1;
viridis[] = 0.251537;
viridis +=1;
viridis[] = 0.524736;
viridis +=1;
viridis[] = 0.257322;
viridis +=1;
viridis[] = 0.25613;
viridis +=1;
viridis[] = 0.526563;
viridis +=1;
viridis[] = 0.255645;
viridis +=1;
viridis[] = 0.260703;
viridis +=1;
viridis[] = 0.528312;
viridis +=1;
viridis[] = 0.253935;
viridis +=1;
viridis[] = 0.265254;
viridis +=1;
viridis[] = 0.529983;
viridis +=1;
viridis[] = 0.252194;
viridis +=1;
viridis[] = 0.269783;
viridis +=1;
viridis[] = 0.531579;
viridis +=1;
viridis[] = 0.250425;
viridis +=1;
viridis[] = 0.27429;
viridis +=1;
viridis[] = 0.533103;
viridis +=1;
viridis[] = 0.248629;
viridis +=1;
viridis[] = 0.278775;
viridis +=1;
viridis[] = 0.534556;
viridis +=1;
viridis[] = 0.246811;
viridis +=1;
viridis[] = 0.283237;
viridis +=1;
viridis[] = 0.535941;
viridis +=1;
viridis[] = 0.244972;
viridis +=1;
viridis[] = 0.287675;
viridis +=1;
viridis[] = 0.53726;
viridis +=1;
viridis[] = 0.243113;
viridis +=1;
viridis[] = 0.292092;
viridis +=1;
viridis[] = 0.538516;
viridis +=1;
viridis[] = 0.241237;
viridis +=1;
viridis[] = 0.296485;
viridis +=1;
viridis[] = 0.539709;
viridis +=1;
viridis[] = 0.239346;
viridis +=1;
viridis[] = 0.300855;
viridis +=1;
viridis[] = 0.540844;
viridis +=1;
viridis[] = 0.237441;
viridis +=1;
viridis[] = 0.305202;
viridis +=1;
viridis[] = 0.541921;
viridis +=1;
viridis[] = 0.235526;
viridis +=1;
viridis[] = 0.309527;
viridis +=1;
viridis[] = 0.542944;
viridis +=1;
viridis[] = 0.233603;
viridis +=1;
viridis[] = 0.313828;
viridis +=1;
viridis[] = 0.543914;
viridis +=1;
viridis[] = 0.231674;
viridis +=1;
viridis[] = 0.318106;
viridis +=1;
viridis[] = 0.544834;
viridis +=1;
viridis[] = 0.229739;
viridis +=1;
viridis[] = 0.322361;
viridis +=1;
viridis[] = 0.545706;
viridis +=1;
viridis[] = 0.227802;
viridis +=1;
viridis[] = 0.326594;
viridis +=1;
viridis[] = 0.546532;
viridis +=1;
viridis[] = 0.225863;
viridis +=1;
viridis[] = 0.330805;
viridis +=1;
viridis[] = 0.547314;
viridis +=1;
viridis[] = 0.223925;
viridis +=1;
viridis[] = 0.334994;
viridis +=1;
viridis[] = 0.548053;
viridis +=1;
viridis[] = 0.221989;
viridis +=1;
viridis[] = 0.339161;
viridis +=1;
viridis[] = 0.548752;
viridis +=1;
viridis[] = 0.220057;
viridis +=1;
viridis[] = 0.343307;
viridis +=1;
viridis[] = 0.549413;
viridis +=1;
viridis[] = 0.21813;
viridis +=1;
viridis[] = 0.347432;
viridis +=1;
viridis[] = 0.550038;
viridis +=1;
viridis[] = 0.21621;
viridis +=1;
viridis[] = 0.351535;
viridis +=1;
viridis[] = 0.550627;
viridis +=1;
viridis[] = 0.214298;
viridis +=1;
viridis[] = 0.355619;
viridis +=1;
viridis[] = 0.551184;
viridis +=1;
viridis[] = 0.212395;
viridis +=1;
viridis[] = 0.359683;
viridis +=1;
viridis[] = 0.55171;
viridis +=1;
viridis[] = 0.210503;
viridis +=1;
viridis[] = 0.363727;
viridis +=1;
viridis[] = 0.552206;
viridis +=1;
viridis[] = 0.208623;
viridis +=1;
viridis[] = 0.367752;
viridis +=1;
viridis[] = 0.552675;
viridis +=1;
viridis[] = 0.206756;
viridis +=1;
viridis[] = 0.371758;
viridis +=1;
viridis[] = 0.553117;
viridis +=1;
viridis[] = 0.204903;
viridis +=1;
viridis[] = 0.375746;
viridis +=1;
viridis[] = 0.553533;
viridis +=1;
viridis[] = 0.203063;
viridis +=1;
viridis[] = 0.379716;
viridis +=1;
viridis[] = 0.553925;
viridis +=1;
viridis[] = 0.201239;
viridis +=1;
viridis[] = 0.38367;
viridis +=1;
viridis[] = 0.554294;
viridis +=1;
viridis[] = 0.19943;
viridis +=1;
viridis[] = 0.387607;
viridis +=1;
viridis[] = 0.554642;
viridis +=1;
viridis[] = 0.197636;
viridis +=1;
viridis[] = 0.391528;
viridis +=1;
viridis[] = 0.554969;
viridis +=1;
viridis[] = 0.19586;
viridis +=1;
viridis[] = 0.395433;
viridis +=1;
viridis[] = 0.555276;
viridis +=1;
viridis[] = 0.1941;
viridis +=1;
viridis[] = 0.399323;
viridis +=1;
viridis[] = 0.555565;
viridis +=1;
viridis[] = 0.192357;
viridis +=1;
viridis[] = 0.403199;
viridis +=1;
viridis[] = 0.555836;
viridis +=1;
viridis[] = 0.190631;
viridis +=1;
viridis[] = 0.407061;
viridis +=1;
viridis[] = 0.556089;
viridis +=1;
viridis[] = 0.188923;
viridis +=1;
viridis[] = 0.41091;
viridis +=1;
viridis[] = 0.556326;
viridis +=1;
viridis[] = 0.187231;
viridis +=1;
viridis[] = 0.414746;
viridis +=1;
viridis[] = 0.556547;
viridis +=1;
viridis[] = 0.185556;
viridis +=1;
viridis[] = 0.41857;
viridis +=1;
viridis[] = 0.556753;
viridis +=1;
viridis[] = 0.183898;
viridis +=1;
viridis[] = 0.422383;
viridis +=1;
viridis[] = 0.556944;
viridis +=1;
viridis[] = 0.182256;
viridis +=1;
viridis[] = 0.426184;
viridis +=1;
viridis[] = 0.55712;
viridis +=1;
viridis[] = 0.180629;
viridis +=1;
viridis[] = 0.429975;
viridis +=1;
viridis[] = 0.557282;
viridis +=1;
viridis[] = 0.179019;
viridis +=1;
viridis[] = 0.433756;
viridis +=1;
viridis[] = 0.55743;
viridis +=1;
viridis[] = 0.177423;
viridis +=1;
viridis[] = 0.437527;
viridis +=1;
viridis[] = 0.557565;
viridis +=1;
viridis[] = 0.175841;
viridis +=1;
viridis[] = 0.44129;
viridis +=1;
viridis[] = 0.557685;
viridis +=1;
viridis[] = 0.174274;
viridis +=1;
viridis[] = 0.445044;
viridis +=1;
viridis[] = 0.557792;
viridis +=1;
viridis[] = 0.172719;
viridis +=1;
viridis[] = 0.448791;
viridis +=1;
viridis[] = 0.557885;
viridis +=1;
viridis[] = 0.171176;
viridis +=1;
viridis[] = 0.45253;
viridis +=1;
viridis[] = 0.557965;
viridis +=1;
viridis[] = 0.169646;
viridis +=1;
viridis[] = 0.456262;
viridis +=1;
viridis[] = 0.55803;
viridis +=1;
viridis[] = 0.168126;
viridis +=1;
viridis[] = 0.459988;
viridis +=1;
viridis[] = 0.558082;
viridis +=1;
viridis[] = 0.166617;
viridis +=1;
viridis[] = 0.463708;
viridis +=1;
viridis[] = 0.558119;
viridis +=1;
viridis[] = 0.165117;
viridis +=1;
viridis[] = 0.467423;
viridis +=1;
viridis[] = 0.558141;
viridis +=1;
viridis[] = 0.163625;
viridis +=1;
viridis[] = 0.471133;
viridis +=1;
viridis[] = 0.558148;
viridis +=1;
viridis[] = 0.162142;
viridis +=1;
viridis[] = 0.474838;
viridis +=1;
viridis[] = 0.55814;
viridis +=1;
viridis[] = 0.160665;
viridis +=1;
viridis[] = 0.47854;
viridis +=1;
viridis[] = 0.558115;
viridis +=1;
viridis[] = 0.159194;
viridis +=1;
viridis[] = 0.482237;
viridis +=1;
viridis[] = 0.558073;
viridis +=1;
viridis[] = 0.157729;
viridis +=1;
viridis[] = 0.485932;
viridis +=1;
viridis[] = 0.558013;
viridis +=1;
viridis[] = 0.15627;
viridis +=1;
viridis[] = 0.489624;
viridis +=1;
viridis[] = 0.557936;
viridis +=1;
viridis[] = 0.154815;
viridis +=1;
viridis[] = 0.493313;
viridis +=1;
viridis[] = 0.55784;
viridis +=1;
viridis[] = 0.153364;
viridis +=1;
viridis[] = 0.497;
viridis +=1;
viridis[] = 0.557724;
viridis +=1;
viridis[] = 0.151918;
viridis +=1;
viridis[] = 0.500685;
viridis +=1;
viridis[] = 0.557587;
viridis +=1;
viridis[] = 0.150476;
viridis +=1;
viridis[] = 0.504369;
viridis +=1;
viridis[] = 0.55743;
viridis +=1;
viridis[] = 0.149039;
viridis +=1;
viridis[] = 0.508051;
viridis +=1;
viridis[] = 0.55725;
viridis +=1;
viridis[] = 0.147607;
viridis +=1;
viridis[] = 0.511733;
viridis +=1;
viridis[] = 0.557049;
viridis +=1;
viridis[] = 0.14618;
viridis +=1;
viridis[] = 0.515413;
viridis +=1;
viridis[] = 0.556823;
viridis +=1;
viridis[] = 0.144759;
viridis +=1;
viridis[] = 0.519093;
viridis +=1;
viridis[] = 0.556572;
viridis +=1;
viridis[] = 0.143343;
viridis +=1;
viridis[] = 0.522773;
viridis +=1;
viridis[] = 0.556295;
viridis +=1;
viridis[] = 0.141935;
viridis +=1;
viridis[] = 0.526453;
viridis +=1;
viridis[] = 0.555991;
viridis +=1;
viridis[] = 0.140536;
viridis +=1;
viridis[] = 0.530132;
viridis +=1;
viridis[] = 0.555659;
viridis +=1;
viridis[] = 0.139147;
viridis +=1;
viridis[] = 0.533812;
viridis +=1;
viridis[] = 0.555298;
viridis +=1;
viridis[] = 0.13777;
viridis +=1;
viridis[] = 0.537492;
viridis +=1;
viridis[] = 0.554906;
viridis +=1;
viridis[] = 0.136408;
viridis +=1;
viridis[] = 0.541173;
viridis +=1;
viridis[] = 0.554483;
viridis +=1;
viridis[] = 0.135066;
viridis +=1;
viridis[] = 0.544853;
viridis +=1;
viridis[] = 0.554029;
viridis +=1;
viridis[] = 0.133743;
viridis +=1;
viridis[] = 0.548535;
viridis +=1;
viridis[] = 0.553541;
viridis +=1;
viridis[] = 0.132444;
viridis +=1;
viridis[] = 0.552216;
viridis +=1;
viridis[] = 0.553018;
viridis +=1;
viridis[] = 0.131172;
viridis +=1;
viridis[] = 0.555899;
viridis +=1;
viridis[] = 0.552459;
viridis +=1;
viridis[] = 0.129933;
viridis +=1;
viridis[] = 0.559582;
viridis +=1;
viridis[] = 0.551864;
viridis +=1;
viridis[] = 0.128729;
viridis +=1;
viridis[] = 0.563265;
viridis +=1;
viridis[] = 0.551229;
viridis +=1;
viridis[] = 0.127568;
viridis +=1;
viridis[] = 0.566949;
viridis +=1;
viridis[] = 0.550556;
viridis +=1;
viridis[] = 0.126453;
viridis +=1;
viridis[] = 0.570633;
viridis +=1;
viridis[] = 0.549841;
viridis +=1;
viridis[] = 0.125394;
viridis +=1;
viridis[] = 0.574318;
viridis +=1;
viridis[] = 0.549086;
viridis +=1;
viridis[] = 0.124395;
viridis +=1;
viridis[] = 0.578002;
viridis +=1;
viridis[] = 0.548287;
viridis +=1;
viridis[] = 0.123463;
viridis +=1;
viridis[] = 0.581687;
viridis +=1;
viridis[] = 0.547445;
viridis +=1;
viridis[] = 0.122606;
viridis +=1;
viridis[] = 0.585371;
viridis +=1;
viridis[] = 0.546557;
viridis +=1;
viridis[] = 0.121831;
viridis +=1;
viridis[] = 0.589055;
viridis +=1;
viridis[] = 0.545623;
viridis +=1;
viridis[] = 0.121148;
viridis +=1;
viridis[] = 0.592739;
viridis +=1;
viridis[] = 0.544641;
viridis +=1;
viridis[] = 0.120565;
viridis +=1;
viridis[] = 0.596422;
viridis +=1;
viridis[] = 0.543611;
viridis +=1;
viridis[] = 0.120092;
viridis +=1;
viridis[] = 0.600104;
viridis +=1;
viridis[] = 0.54253;
viridis +=1;
viridis[] = 0.119738;
viridis +=1;
viridis[] = 0.603785;
viridis +=1;
viridis[] = 0.5414;
viridis +=1;
viridis[] = 0.119512;
viridis +=1;
viridis[] = 0.607464;
viridis +=1;
viridis[] = 0.540218;
viridis +=1;
viridis[] = 0.119423;
viridis +=1;
viridis[] = 0.611141;
viridis +=1;
viridis[] = 0.538982;
viridis +=1;
viridis[] = 0.119483;
viridis +=1;
viridis[] = 0.614817;
viridis +=1;
viridis[] = 0.537692;
viridis +=1;
viridis[] = 0.119699;
viridis +=1;
viridis[] = 0.61849;
viridis +=1;
viridis[] = 0.536347;
viridis +=1;
viridis[] = 0.120081;
viridis +=1;
viridis[] = 0.622161;
viridis +=1;
viridis[] = 0.534946;
viridis +=1;
viridis[] = 0.120638;
viridis +=1;
viridis[] = 0.625828;
viridis +=1;
viridis[] = 0.533488;
viridis +=1;
viridis[] = 0.12138;
viridis +=1;
viridis[] = 0.629492;
viridis +=1;
viridis[] = 0.531973;
viridis +=1;
viridis[] = 0.122312;
viridis +=1;
viridis[] = 0.633153;
viridis +=1;
viridis[] = 0.530398;
viridis +=1;
viridis[] = 0.123444;
viridis +=1;
viridis[] = 0.636809;
viridis +=1;
viridis[] = 0.528763;
viridis +=1;
viridis[] = 0.12478;
viridis +=1;
viridis[] = 0.640461;
viridis +=1;
viridis[] = 0.527068;
viridis +=1;
viridis[] = 0.126326;
viridis +=1;
viridis[] = 0.644107;
viridis +=1;
viridis[] = 0.525311;
viridis +=1;
viridis[] = 0.128087;
viridis +=1;
viridis[] = 0.647749;
viridis +=1;
viridis[] = 0.523491;
viridis +=1;
viridis[] = 0.130067;
viridis +=1;
viridis[] = 0.651384;
viridis +=1;
viridis[] = 0.521608;
viridis +=1;
viridis[] = 0.132268;
viridis +=1;
viridis[] = 0.655014;
viridis +=1;
viridis[] = 0.519661;
viridis +=1;
viridis[] = 0.134692;
viridis +=1;
viridis[] = 0.658636;
viridis +=1;
viridis[] = 0.517649;
viridis +=1;
viridis[] = 0.137339;
viridis +=1;
viridis[] = 0.662252;
viridis +=1;
viridis[] = 0.515571;
viridis +=1;
viridis[] = 0.14021;
viridis +=1;
viridis[] = 0.665859;
viridis +=1;
viridis[] = 0.513427;
viridis +=1;
viridis[] = 0.143303;
viridis +=1;
viridis[] = 0.669459;
viridis +=1;
viridis[] = 0.511215;
viridis +=1;
viridis[] = 0.146616;
viridis +=1;
viridis[] = 0.67305;
viridis +=1;
viridis[] = 0.508936;
viridis +=1;
viridis[] = 0.150148;
viridis +=1;
viridis[] = 0.676631;
viridis +=1;
viridis[] = 0.506589;
viridis +=1;
viridis[] = 0.153894;
viridis +=1;
viridis[] = 0.680203;
viridis +=1;
viridis[] = 0.504172;
viridis +=1;
viridis[] = 0.157851;
viridis +=1;
viridis[] = 0.683765;
viridis +=1;
viridis[] = 0.501686;
viridis +=1;
viridis[] = 0.162016;
viridis +=1;
viridis[] = 0.687316;
viridis +=1;
viridis[] = 0.499129;
viridis +=1;
viridis[] = 0.166383;
viridis +=1;
viridis[] = 0.690856;
viridis +=1;
viridis[] = 0.496502;
viridis +=1;
viridis[] = 0.170948;
viridis +=1;
viridis[] = 0.694384;
viridis +=1;
viridis[] = 0.493803;
viridis +=1;
viridis[] = 0.175707;
viridis +=1;
viridis[] = 0.6979;
viridis +=1;
viridis[] = 0.491033;
viridis +=1;
viridis[] = 0.180653;
viridis +=1;
viridis[] = 0.701402;
viridis +=1;
viridis[] = 0.488189;
viridis +=1;
viridis[] = 0.185783;
viridis +=1;
viridis[] = 0.704891;
viridis +=1;
viridis[] = 0.485273;
viridis +=1;
viridis[] = 0.19109;
viridis +=1;
viridis[] = 0.708366;
viridis +=1;
viridis[] = 0.482284;
viridis +=1;
viridis[] = 0.196571;
viridis +=1;
viridis[] = 0.711827;
viridis +=1;
viridis[] = 0.479221;
viridis +=1;
viridis[] = 0.202219;
viridis +=1;
viridis[] = 0.715272;
viridis +=1;
viridis[] = 0.476084;
viridis +=1;
viridis[] = 0.20803;
viridis +=1;
viridis[] = 0.718701;
viridis +=1;
viridis[] = 0.472873;
viridis +=1;
viridis[] = 0.214;
viridis +=1;
viridis[] = 0.722114;
viridis +=1;
viridis[] = 0.469588;
viridis +=1;
viridis[] = 0.220124;
viridis +=1;
viridis[] = 0.725509;
viridis +=1;
viridis[] = 0.466226;
viridis +=1;
viridis[] = 0.226397;
viridis +=1;
viridis[] = 0.728888;
viridis +=1;
viridis[] = 0.462789;
viridis +=1;
viridis[] = 0.232815;
viridis +=1;
viridis[] = 0.732247;
viridis +=1;
viridis[] = 0.459277;
viridis +=1;
viridis[] = 0.239374;
viridis +=1;
viridis[] = 0.735588;
viridis +=1;
viridis[] = 0.455688;
viridis +=1;
viridis[] = 0.24607;
viridis +=1;
viridis[] = 0.73891;
viridis +=1;
viridis[] = 0.452024;
viridis +=1;
viridis[] = 0.252899;
viridis +=1;
viridis[] = 0.742211;
viridis +=1;
viridis[] = 0.448284;
viridis +=1;
viridis[] = 0.259857;
viridis +=1;
viridis[] = 0.745492;
viridis +=1;
viridis[] = 0.444467;
viridis +=1;
viridis[] = 0.266941;
viridis +=1;
viridis[] = 0.748751;
viridis +=1;
viridis[] = 0.440573;
viridis +=1;
viridis[] = 0.274149;
viridis +=1;
viridis[] = 0.751988;
viridis +=1;
viridis[] = 0.436601;
viridis +=1;
viridis[] = 0.281477;
viridis +=1;
viridis[] = 0.755203;
viridis +=1;
viridis[] = 0.432552;
viridis +=1;
viridis[] = 0.288921;
viridis +=1;
viridis[] = 0.758394;
viridis +=1;
viridis[] = 0.428426;
viridis +=1;
viridis[] = 0.296479;
viridis +=1;
viridis[] = 0.761561;
viridis +=1;
viridis[] = 0.424223;
viridis +=1;
viridis[] = 0.304148;
viridis +=1;
viridis[] = 0.764704;
viridis +=1;
viridis[] = 0.419943;
viridis +=1;
viridis[] = 0.311925;
viridis +=1;
viridis[] = 0.767822;
viridis +=1;
viridis[] = 0.415586;
viridis +=1;
viridis[] = 0.319809;
viridis +=1;
viridis[] = 0.770914;
viridis +=1;
viridis[] = 0.411152;
viridis +=1;
viridis[] = 0.327796;
viridis +=1;
viridis[] = 0.77398;
viridis +=1;
viridis[] = 0.40664;
viridis +=1;
viridis[] = 0.335885;
viridis +=1;
viridis[] = 0.777018;
viridis +=1;
viridis[] = 0.402049;
viridis +=1;
viridis[] = 0.344074;
viridis +=1;
viridis[] = 0.780029;
viridis +=1;
viridis[] = 0.397381;
viridis +=1;
viridis[] = 0.35236;
viridis +=1;
viridis[] = 0.783011;
viridis +=1;
viridis[] = 0.392636;
viridis +=1;
viridis[] = 0.360741;
viridis +=1;
viridis[] = 0.785964;
viridis +=1;
viridis[] = 0.387814;
viridis +=1;
viridis[] = 0.369214;
viridis +=1;
viridis[] = 0.788888;
viridis +=1;
viridis[] = 0.382914;
viridis +=1;
viridis[] = 0.377779;
viridis +=1;
viridis[] = 0.791781;
viridis +=1;
viridis[] = 0.377939;
viridis +=1;
viridis[] = 0.386433;
viridis +=1;
viridis[] = 0.794644;
viridis +=1;
viridis[] = 0.372886;
viridis +=1;
viridis[] = 0.395174;
viridis +=1;
viridis[] = 0.797475;
viridis +=1;
viridis[] = 0.367757;
viridis +=1;
viridis[] = 0.404001;
viridis +=1;
viridis[] = 0.800275;
viridis +=1;
viridis[] = 0.362552;
viridis +=1;
viridis[] = 0.412913;
viridis +=1;
viridis[] = 0.803041;
viridis +=1;
viridis[] = 0.357269;
viridis +=1;
viridis[] = 0.421908;
viridis +=1;
viridis[] = 0.805774;
viridis +=1;
viridis[] = 0.35191;
viridis +=1;
viridis[] = 0.430983;
viridis +=1;
viridis[] = 0.808473;
viridis +=1;
viridis[] = 0.346476;
viridis +=1;
viridis[] = 0.440137;
viridis +=1;
viridis[] = 0.811138;
viridis +=1;
viridis[] = 0.340967;
viridis +=1;
viridis[] = 0.449368;
viridis +=1;
viridis[] = 0.813768;
viridis +=1;
viridis[] = 0.335384;
viridis +=1;
viridis[] = 0.458674;
viridis +=1;
viridis[] = 0.816363;
viridis +=1;
viridis[] = 0.329727;
viridis +=1;
viridis[] = 0.468053;
viridis +=1;
viridis[] = 0.818921;
viridis +=1;
viridis[] = 0.323998;
viridis +=1;
viridis[] = 0.477504;
viridis +=1;
viridis[] = 0.821444;
viridis +=1;
viridis[] = 0.318195;
viridis +=1;
viridis[] = 0.487026;
viridis +=1;
viridis[] = 0.823929;
viridis +=1;
viridis[] = 0.312321;
viridis +=1;
viridis[] = 0.496615;
viridis +=1;
viridis[] = 0.826376;
viridis +=1;
viridis[] = 0.306377;
viridis +=1;
viridis[] = 0.506271;
viridis +=1;
viridis[] = 0.828786;
viridis +=1;
viridis[] = 0.300362;
viridis +=1;
viridis[] = 0.515992;
viridis +=1;
viridis[] = 0.831158;
viridis +=1;
viridis[] = 0.294279;
viridis +=1;
viridis[] = 0.525776;
viridis +=1;
viridis[] = 0.833491;
viridis +=1;
viridis[] = 0.288127;
viridis +=1;
viridis[] = 0.535621;
viridis +=1;
viridis[] = 0.835785;
viridis +=1;
viridis[] = 0.281908;
viridis +=1;
viridis[] = 0.545524;
viridis +=1;
viridis[] = 0.838039;
viridis +=1;
viridis[] = 0.275626;
viridis +=1;
viridis[] = 0.555484;
viridis +=1;
viridis[] = 0.840254;
viridis +=1;
viridis[] = 0.269281;
viridis +=1;
viridis[] = 0.565498;
viridis +=1;
viridis[] = 0.84243;
viridis +=1;
viridis[] = 0.262877;
viridis +=1;
viridis[] = 0.575563;
viridis +=1;
viridis[] = 0.844566;
viridis +=1;
viridis[] = 0.256415;
viridis +=1;
viridis[] = 0.585678;
viridis +=1;
viridis[] = 0.846661;
viridis +=1;
viridis[] = 0.249897;
viridis +=1;
viridis[] = 0.595839;
viridis +=1;
viridis[] = 0.848717;
viridis +=1;
viridis[] = 0.243329;
viridis +=1;
viridis[] = 0.606045;
viridis +=1;
viridis[] = 0.850733;
viridis +=1;
viridis[] = 0.236712;
viridis +=1;
viridis[] = 0.616293;
viridis +=1;
viridis[] = 0.852709;
viridis +=1;
viridis[] = 0.230052;
viridis +=1;
viridis[] = 0.626579;
viridis +=1;
viridis[] = 0.854645;
viridis +=1;
viridis[] = 0.223353;
viridis +=1;
viridis[] = 0.636902;
viridis +=1;
viridis[] = 0.856542;
viridis +=1;
viridis[] = 0.21662;
viridis +=1;
viridis[] = 0.647257;
viridis +=1;
viridis[] = 0.8584;
viridis +=1;
viridis[] = 0.209861;
viridis +=1;
viridis[] = 0.657642;
viridis +=1;
viridis[] = 0.860219;
viridis +=1;
viridis[] = 0.203082;
viridis +=1;
viridis[] = 0.668054;
viridis +=1;
viridis[] = 0.861999;
viridis +=1;
viridis[] = 0.196293;
viridis +=1;
viridis[] = 0.678489;
viridis +=1;
viridis[] = 0.863742;
viridis +=1;
viridis[] = 0.189503;
viridis +=1;
viridis[] = 0.688944;
viridis +=1;
viridis[] = 0.865448;
viridis +=1;
viridis[] = 0.182725;
viridis +=1;
viridis[] = 0.699415;
viridis +=1;
viridis[] = 0.867117;
viridis +=1;
viridis[] = 0.175971;
viridis +=1;
viridis[] = 0.709898;
viridis +=1;
viridis[] = 0.868751;
viridis +=1;
viridis[] = 0.169257;
viridis +=1;
viridis[] = 0.720391;
viridis +=1;
viridis[] = 0.87035;
viridis +=1;
viridis[] = 0.162603;
viridis +=1;
viridis[] = 0.730889;
viridis +=1;
viridis[] = 0.871916;
viridis +=1;
viridis[] = 0.156029;
viridis +=1;
viridis[] = 0.741388;
viridis +=1;
viridis[] = 0.873449;
viridis +=1;
viridis[] = 0.149561;
viridis +=1;
viridis[] = 0.751884;
viridis +=1;
viridis[] = 0.874951;
viridis +=1;
viridis[] = 0.143228;
viridis +=1;
viridis[] = 0.762373;
viridis +=1;
viridis[] = 0.876424;
viridis +=1;
viridis[] = 0.137064;
viridis +=1;
viridis[] = 0.772852;
viridis +=1;
viridis[] = 0.877868;
viridis +=1;
viridis[] = 0.131109;
viridis +=1;
viridis[] = 0.783315;
viridis +=1;
viridis[] = 0.879285;
viridis +=1;
viridis[] = 0.125405;
viridis +=1;
viridis[] = 0.79376;
viridis +=1;
viridis[] = 0.880678;
viridis +=1;
viridis[] = 0.120005;
viridis +=1;
viridis[] = 0.804182;
viridis +=1;
viridis[] = 0.882046;
viridis +=1;
viridis[] = 0.114965;
viridis +=1;
viridis[] = 0.814576;
viridis +=1;
viridis[] = 0.883393;
viridis +=1;
viridis[] = 0.110347;
viridis +=1;
viridis[] = 0.82494;
viridis +=1;
viridis[] = 0.88472;
viridis +=1;
viridis[] = 0.106217;
viridis +=1;
viridis[] = 0.83527;
viridis +=1;
viridis[] = 0.886029;
viridis +=1;
viridis[] = 0.102646;
viridis +=1;
viridis[] = 0.845561;
viridis +=1;
viridis[] = 0.887322;
viridis +=1;
viridis[] = 0.099702;
viridis +=1;
viridis[] = 0.85581;
viridis +=1;
viridis[] = 0.888601;
viridis +=1;
viridis[] = 0.097452;
viridis +=1;
viridis[] = 0.866013;
viridis +=1;
viridis[] = 0.889868;
viridis +=1;
viridis[] = 0.095953;
viridis +=1;
viridis[] = 0.876168;
viridis +=1;
viridis[] = 0.891125;
viridis +=1;
viridis[] = 0.09525;
viridis +=1;
viridis[] = 0.886271;
viridis +=1;
viridis[] = 0.892374;
viridis +=1;
viridis[] = 0.095374;
viridis +=1;
viridis[] = 0.89632;
viridis +=1;
viridis[] = 0.893616;
viridis +=1;
viridis[] = 0.096335;
viridis +=1;
viridis[] = 0.906311;
viridis +=1;
viridis[] = 0.894855;
viridis +=1;
viridis[] = 0.098125;
viridis +=1;
viridis[] = 0.916242;
viridis +=1;
viridis[] = 0.896091;
viridis +=1;
viridis[] = 0.100717;
viridis +=1;
viridis[] = 0.926106;
viridis +=1;
viridis[] = 0.89733;
viridis +=1;
viridis[] = 0.104071;
viridis +=1;
viridis[] = 0.935904;
viridis +=1;
viridis[] = 0.89857;
viridis +=1;
viridis[] = 0.108131;
viridis +=1;
viridis[] = 0.945636;
viridis +=1;
viridis[] = 0.899815;
viridis +=1;
viridis[] = 0.112838;
viridis +=1;
viridis[] = 0.9553;
viridis +=1;
viridis[] = 0.901065;
viridis +=1;
viridis[] = 0.118128;
viridis +=1;
viridis[] = 0.964894;
viridis +=1;
viridis[] = 0.902323;
viridis +=1;
viridis[] = 0.123941;
viridis +=1;
viridis[] = 0.974417;
viridis +=1;
viridis[] = 0.90359;
viridis +=1;
viridis[] = 0.130215;
viridis +=1;
viridis[] = 0.983868;
viridis +=1;
viridis[] = 0.904867;
viridis +=1;
viridis[] = 0.136897;
viridis +=1;
viridis[] = 0.993248;
viridis +=1;
viridis[] = 0.906157;
viridis +=1;
viridis[] = 0.143936;
viridis +=1;

plasma[] = 0.050383;
plasma +=1;
plasma[] = 0.029803;
plasma +=1;
plasma[] = 0.527975;
plasma +=1;
plasma[] = 0.063536;
plasma +=1;
plasma[] = 0.028426;
plasma +=1;
plasma[] = 0.533124;
plasma +=1;
plasma[] = 0.075353;
plasma +=1;
plasma[] = 0.027206;
plasma +=1;
plasma[] = 0.538007;
plasma +=1;
plasma[] = 0.086222;
plasma +=1;
plasma[] = 0.026125;
plasma +=1;
plasma[] = 0.542658;
plasma +=1;
plasma[] = 0.096379;
plasma +=1;
plasma[] = 0.025165;
plasma +=1;
plasma[] = 0.547103;
plasma +=1;
plasma[] = 0.10598;
plasma +=1;
plasma[] = 0.024309;
plasma +=1;
plasma[] = 0.551368;
plasma +=1;
plasma[] = 0.115124;
plasma +=1;
plasma[] = 0.023556;
plasma +=1;
plasma[] = 0.555468;
plasma +=1;
plasma[] = 0.123903;
plasma +=1;
plasma[] = 0.022878;
plasma +=1;
plasma[] = 0.559423;
plasma +=1;
plasma[] = 0.132381;
plasma +=1;
plasma[] = 0.022258;
plasma +=1;
plasma[] = 0.56325;
plasma +=1;
plasma[] = 0.140603;
plasma +=1;
plasma[] = 0.021687;
plasma +=1;
plasma[] = 0.566959;
plasma +=1;
plasma[] = 0.148607;
plasma +=1;
plasma[] = 0.021154;
plasma +=1;
plasma[] = 0.570562;
plasma +=1;
plasma[] = 0.156421;
plasma +=1;
plasma[] = 0.020651;
plasma +=1;
plasma[] = 0.574065;
plasma +=1;
plasma[] = 0.16407;
plasma +=1;
plasma[] = 0.020171;
plasma +=1;
plasma[] = 0.577478;
plasma +=1;
plasma[] = 0.171574;
plasma +=1;
plasma[] = 0.019706;
plasma +=1;
plasma[] = 0.580806;
plasma +=1;
plasma[] = 0.17895;
plasma +=1;
plasma[] = 0.019252;
plasma +=1;
plasma[] = 0.584054;
plasma +=1;
plasma[] = 0.186213;
plasma +=1;
plasma[] = 0.018803;
plasma +=1;
plasma[] = 0.587228;
plasma +=1;
plasma[] = 0.193374;
plasma +=1;
plasma[] = 0.018354;
plasma +=1;
plasma[] = 0.59033;
plasma +=1;
plasma[] = 0.200445;
plasma +=1;
plasma[] = 0.017902;
plasma +=1;
plasma[] = 0.593364;
plasma +=1;
plasma[] = 0.207435;
plasma +=1;
plasma[] = 0.017442;
plasma +=1;
plasma[] = 0.596333;
plasma +=1;
plasma[] = 0.21435;
plasma +=1;
plasma[] = 0.016973;
plasma +=1;
plasma[] = 0.599239;
plasma +=1;
plasma[] = 0.221197;
plasma +=1;
plasma[] = 0.016497;
plasma +=1;
plasma[] = 0.602083;
plasma +=1;
plasma[] = 0.227983;
plasma +=1;
plasma[] = 0.016007;
plasma +=1;
plasma[] = 0.604867;
plasma +=1;
plasma[] = 0.234715;
plasma +=1;
plasma[] = 0.015502;
plasma +=1;
plasma[] = 0.607592;
plasma +=1;
plasma[] = 0.241396;
plasma +=1;
plasma[] = 0.014979;
plasma +=1;
plasma[] = 0.610259;
plasma +=1;
plasma[] = 0.248032;
plasma +=1;
plasma[] = 0.014439;
plasma +=1;
plasma[] = 0.612868;
plasma +=1;
plasma[] = 0.254627;
plasma +=1;
plasma[] = 0.013882;
plasma +=1;
plasma[] = 0.615419;
plasma +=1;
plasma[] = 0.261183;
plasma +=1;
plasma[] = 0.013308;
plasma +=1;
plasma[] = 0.617911;
plasma +=1;
plasma[] = 0.267703;
plasma +=1;
plasma[] = 0.012716;
plasma +=1;
plasma[] = 0.620346;
plasma +=1;
plasma[] = 0.274191;
plasma +=1;
plasma[] = 0.012109;
plasma +=1;
plasma[] = 0.622722;
plasma +=1;
plasma[] = 0.280648;
plasma +=1;
plasma[] = 0.011488;
plasma +=1;
plasma[] = 0.625038;
plasma +=1;
plasma[] = 0.287076;
plasma +=1;
plasma[] = 0.010855;
plasma +=1;
plasma[] = 0.627295;
plasma +=1;
plasma[] = 0.293478;
plasma +=1;
plasma[] = 0.010213;
plasma +=1;
plasma[] = 0.62949;
plasma +=1;
plasma[] = 0.299855;
plasma +=1;
plasma[] = 0.009561;
plasma +=1;
plasma[] = 0.631624;
plasma +=1;
plasma[] = 0.30621;
plasma +=1;
plasma[] = 0.008902;
plasma +=1;
plasma[] = 0.633694;
plasma +=1;
plasma[] = 0.312543;
plasma +=1;
plasma[] = 0.008239;
plasma +=1;
plasma[] = 0.6357;
plasma +=1;
plasma[] = 0.318856;
plasma +=1;
plasma[] = 0.007576;
plasma +=1;
plasma[] = 0.63764;
plasma +=1;
plasma[] = 0.32515;
plasma +=1;
plasma[] = 0.006915;
plasma +=1;
plasma[] = 0.639512;
plasma +=1;
plasma[] = 0.331426;
plasma +=1;
plasma[] = 0.006261;
plasma +=1;
plasma[] = 0.641316;
plasma +=1;
plasma[] = 0.337683;
plasma +=1;
plasma[] = 0.005618;
plasma +=1;
plasma[] = 0.643049;
plasma +=1;
plasma[] = 0.343925;
plasma +=1;
plasma[] = 0.004991;
plasma +=1;
plasma[] = 0.64471;
plasma +=1;
plasma[] = 0.35015;
plasma +=1;
plasma[] = 0.004382;
plasma +=1;
plasma[] = 0.646298;
plasma +=1;
plasma[] = 0.356359;
plasma +=1;
plasma[] = 0.003798;
plasma +=1;
plasma[] = 0.64781;
plasma +=1;
plasma[] = 0.362553;
plasma +=1;
plasma[] = 0.003243;
plasma +=1;
plasma[] = 0.649245;
plasma +=1;
plasma[] = 0.368733;
plasma +=1;
plasma[] = 0.002724;
plasma +=1;
plasma[] = 0.650601;
plasma +=1;
plasma[] = 0.374897;
plasma +=1;
plasma[] = 0.002245;
plasma +=1;
plasma[] = 0.651876;
plasma +=1;
plasma[] = 0.381047;
plasma +=1;
plasma[] = 0.001814;
plasma +=1;
plasma[] = 0.653068;
plasma +=1;
plasma[] = 0.387183;
plasma +=1;
plasma[] = 0.001434;
plasma +=1;
plasma[] = 0.654177;
plasma +=1;
plasma[] = 0.393304;
plasma +=1;
plasma[] = 0.001114;
plasma +=1;
plasma[] = 0.655199;
plasma +=1;
plasma[] = 0.399411;
plasma +=1;
plasma[] = 0.000859;
plasma +=1;
plasma[] = 0.656133;
plasma +=1;
plasma[] = 0.405503;
plasma +=1;
plasma[] = 0.000678;
plasma +=1;
plasma[] = 0.656977;
plasma +=1;
plasma[] = 0.41158;
plasma +=1;
plasma[] = 0.000577;
plasma +=1;
plasma[] = 0.65773;
plasma +=1;
plasma[] = 0.417642;
plasma +=1;
plasma[] = 0.000564;
plasma +=1;
plasma[] = 0.65839;
plasma +=1;
plasma[] = 0.423689;
plasma +=1;
plasma[] = 0.000646;
plasma +=1;
plasma[] = 0.658956;
plasma +=1;
plasma[] = 0.429719;
plasma +=1;
plasma[] = 0.000831;
plasma +=1;
plasma[] = 0.659425;
plasma +=1;
plasma[] = 0.435734;
plasma +=1;
plasma[] = 0.001127;
plasma +=1;
plasma[] = 0.659797;
plasma +=1;
plasma[] = 0.441732;
plasma +=1;
plasma[] = 0.00154;
plasma +=1;
plasma[] = 0.660069;
plasma +=1;
plasma[] = 0.447714;
plasma +=1;
plasma[] = 0.00208;
plasma +=1;
plasma[] = 0.66024;
plasma +=1;
plasma[] = 0.453677;
plasma +=1;
plasma[] = 0.002755;
plasma +=1;
plasma[] = 0.66031;
plasma +=1;
plasma[] = 0.459623;
plasma +=1;
plasma[] = 0.003574;
plasma +=1;
plasma[] = 0.660277;
plasma +=1;
plasma[] = 0.46555;
plasma +=1;
plasma[] = 0.004545;
plasma +=1;
plasma[] = 0.660139;
plasma +=1;
plasma[] = 0.471457;
plasma +=1;
plasma[] = 0.005678;
plasma +=1;
plasma[] = 0.659897;
plasma +=1;
plasma[] = 0.477344;
plasma +=1;
plasma[] = 0.00698;
plasma +=1;
plasma[] = 0.659549;
plasma +=1;
plasma[] = 0.48321;
plasma +=1;
plasma[] = 0.00846;
plasma +=1;
plasma[] = 0.659095;
plasma +=1;
plasma[] = 0.489055;
plasma +=1;
plasma[] = 0.010127;
plasma +=1;
plasma[] = 0.658534;
plasma +=1;
plasma[] = 0.494877;
plasma +=1;
plasma[] = 0.01199;
plasma +=1;
plasma[] = 0.657865;
plasma +=1;
plasma[] = 0.500678;
plasma +=1;
plasma[] = 0.014055;
plasma +=1;
plasma[] = 0.657088;
plasma +=1;
plasma[] = 0.506454;
plasma +=1;
plasma[] = 0.016333;
plasma +=1;
plasma[] = 0.656202;
plasma +=1;
plasma[] = 0.512206;
plasma +=1;
plasma[] = 0.018833;
plasma +=1;
plasma[] = 0.655209;
plasma +=1;
plasma[] = 0.517933;
plasma +=1;
plasma[] = 0.021563;
plasma +=1;
plasma[] = 0.654109;
plasma +=1;
plasma[] = 0.523633;
plasma +=1;
plasma[] = 0.024532;
plasma +=1;
plasma[] = 0.652901;
plasma +=1;
plasma[] = 0.529306;
plasma +=1;
plasma[] = 0.027747;
plasma +=1;
plasma[] = 0.651586;
plasma +=1;
plasma[] = 0.534952;
plasma +=1;
plasma[] = 0.031217;
plasma +=1;
plasma[] = 0.650165;
plasma +=1;
plasma[] = 0.54057;
plasma +=1;
plasma[] = 0.03495;
plasma +=1;
plasma[] = 0.64864;
plasma +=1;
plasma[] = 0.546157;
plasma +=1;
plasma[] = 0.038954;
plasma +=1;
plasma[] = 0.64701;
plasma +=1;
plasma[] = 0.551715;
plasma +=1;
plasma[] = 0.043136;
plasma +=1;
plasma[] = 0.645277;
plasma +=1;
plasma[] = 0.557243;
plasma +=1;
plasma[] = 0.047331;
plasma +=1;
plasma[] = 0.643443;
plasma +=1;
plasma[] = 0.562738;
plasma +=1;
plasma[] = 0.051545;
plasma +=1;
plasma[] = 0.641509;
plasma +=1;
plasma[] = 0.568201;
plasma +=1;
plasma[] = 0.055778;
plasma +=1;
plasma[] = 0.639477;
plasma +=1;
plasma[] = 0.573632;
plasma +=1;
plasma[] = 0.060028;
plasma +=1;
plasma[] = 0.637349;
plasma +=1;
plasma[] = 0.579029;
plasma +=1;
plasma[] = 0.064296;
plasma +=1;
plasma[] = 0.635126;
plasma +=1;
plasma[] = 0.584391;
plasma +=1;
plasma[] = 0.068579;
plasma +=1;
plasma[] = 0.632812;
plasma +=1;
plasma[] = 0.589719;
plasma +=1;
plasma[] = 0.072878;
plasma +=1;
plasma[] = 0.630408;
plasma +=1;
plasma[] = 0.595011;
plasma +=1;
plasma[] = 0.07719;
plasma +=1;
plasma[] = 0.627917;
plasma +=1;
plasma[] = 0.600266;
plasma +=1;
plasma[] = 0.081516;
plasma +=1;
plasma[] = 0.625342;
plasma +=1;
plasma[] = 0.605485;
plasma +=1;
plasma[] = 0.085854;
plasma +=1;
plasma[] = 0.622686;
plasma +=1;
plasma[] = 0.610667;
plasma +=1;
plasma[] = 0.090204;
plasma +=1;
plasma[] = 0.619951;
plasma +=1;
plasma[] = 0.615812;
plasma +=1;
plasma[] = 0.094564;
plasma +=1;
plasma[] = 0.61714;
plasma +=1;
plasma[] = 0.620919;
plasma +=1;
plasma[] = 0.098934;
plasma +=1;
plasma[] = 0.614257;
plasma +=1;
plasma[] = 0.625987;
plasma +=1;
plasma[] = 0.103312;
plasma +=1;
plasma[] = 0.611305;
plasma +=1;
plasma[] = 0.631017;
plasma +=1;
plasma[] = 0.107699;
plasma +=1;
plasma[] = 0.608287;
plasma +=1;
plasma[] = 0.636008;
plasma +=1;
plasma[] = 0.112092;
plasma +=1;
plasma[] = 0.605205;
plasma +=1;
plasma[] = 0.640959;
plasma +=1;
plasma[] = 0.116492;
plasma +=1;
plasma[] = 0.602065;
plasma +=1;
plasma[] = 0.645872;
plasma +=1;
plasma[] = 0.120898;
plasma +=1;
plasma[] = 0.598867;
plasma +=1;
plasma[] = 0.650746;
plasma +=1;
plasma[] = 0.125309;
plasma +=1;
plasma[] = 0.595617;
plasma +=1;
plasma[] = 0.65558;
plasma +=1;
plasma[] = 0.129725;
plasma +=1;
plasma[] = 0.592317;
plasma +=1;
plasma[] = 0.660374;
plasma +=1;
plasma[] = 0.134144;
plasma +=1;
plasma[] = 0.588971;
plasma +=1;
plasma[] = 0.665129;
plasma +=1;
plasma[] = 0.138566;
plasma +=1;
plasma[] = 0.585582;
plasma +=1;
plasma[] = 0.669845;
plasma +=1;
plasma[] = 0.142992;
plasma +=1;
plasma[] = 0.582154;
plasma +=1;
plasma[] = 0.674522;
plasma +=1;
plasma[] = 0.147419;
plasma +=1;
plasma[] = 0.578688;
plasma +=1;
plasma[] = 0.67916;
plasma +=1;
plasma[] = 0.151848;
plasma +=1;
plasma[] = 0.575189;
plasma +=1;
plasma[] = 0.683758;
plasma +=1;
plasma[] = 0.156278;
plasma +=1;
plasma[] = 0.57166;
plasma +=1;
plasma[] = 0.688318;
plasma +=1;
plasma[] = 0.160709;
plasma +=1;
plasma[] = 0.568103;
plasma +=1;
plasma[] = 0.69284;
plasma +=1;
plasma[] = 0.165141;
plasma +=1;
plasma[] = 0.564522;
plasma +=1;
plasma[] = 0.697324;
plasma +=1;
plasma[] = 0.169573;
plasma +=1;
plasma[] = 0.560919;
plasma +=1;
plasma[] = 0.701769;
plasma +=1;
plasma[] = 0.174005;
plasma +=1;
plasma[] = 0.557296;
plasma +=1;
plasma[] = 0.706178;
plasma +=1;
plasma[] = 0.178437;
plasma +=1;
plasma[] = 0.553657;
plasma +=1;
plasma[] = 0.710549;
plasma +=1;
plasma[] = 0.182868;
plasma +=1;
plasma[] = 0.550004;
plasma +=1;
plasma[] = 0.714883;
plasma +=1;
plasma[] = 0.187299;
plasma +=1;
plasma[] = 0.546338;
plasma +=1;
plasma[] = 0.719181;
plasma +=1;
plasma[] = 0.191729;
plasma +=1;
plasma[] = 0.542663;
plasma +=1;
plasma[] = 0.723444;
plasma +=1;
plasma[] = 0.196158;
plasma +=1;
plasma[] = 0.538981;
plasma +=1;
plasma[] = 0.72767;
plasma +=1;
plasma[] = 0.200586;
plasma +=1;
plasma[] = 0.535293;
plasma +=1;
plasma[] = 0.731862;
plasma +=1;
plasma[] = 0.205013;
plasma +=1;
plasma[] = 0.531601;
plasma +=1;
plasma[] = 0.736019;
plasma +=1;
plasma[] = 0.209439;
plasma +=1;
plasma[] = 0.527908;
plasma +=1;
plasma[] = 0.740143;
plasma +=1;
plasma[] = 0.213864;
plasma +=1;
plasma[] = 0.524216;
plasma +=1;
plasma[] = 0.744232;
plasma +=1;
plasma[] = 0.218288;
plasma +=1;
plasma[] = 0.520524;
plasma +=1;
plasma[] = 0.748289;
plasma +=1;
plasma[] = 0.222711;
plasma +=1;
plasma[] = 0.516834;
plasma +=1;
plasma[] = 0.752312;
plasma +=1;
plasma[] = 0.227133;
plasma +=1;
plasma[] = 0.513149;
plasma +=1;
plasma[] = 0.756304;
plasma +=1;
plasma[] = 0.231555;
plasma +=1;
plasma[] = 0.509468;
plasma +=1;
plasma[] = 0.760264;
plasma +=1;
plasma[] = 0.235976;
plasma +=1;
plasma[] = 0.505794;
plasma +=1;
plasma[] = 0.764193;
plasma +=1;
plasma[] = 0.240396;
plasma +=1;
plasma[] = 0.502126;
plasma +=1;
plasma[] = 0.76809;
plasma +=1;
plasma[] = 0.244817;
plasma +=1;
plasma[] = 0.498465;
plasma +=1;
plasma[] = 0.771958;
plasma +=1;
plasma[] = 0.249237;
plasma +=1;
plasma[] = 0.494813;
plasma +=1;
plasma[] = 0.775796;
plasma +=1;
plasma[] = 0.253658;
plasma +=1;
plasma[] = 0.491171;
plasma +=1;
plasma[] = 0.779604;
plasma +=1;
plasma[] = 0.258078;
plasma +=1;
plasma[] = 0.487539;
plasma +=1;
plasma[] = 0.783383;
plasma +=1;
plasma[] = 0.2625;
plasma +=1;
plasma[] = 0.483918;
plasma +=1;
plasma[] = 0.787133;
plasma +=1;
plasma[] = 0.266922;
plasma +=1;
plasma[] = 0.480307;
plasma +=1;
plasma[] = 0.790855;
plasma +=1;
plasma[] = 0.271345;
plasma +=1;
plasma[] = 0.476706;
plasma +=1;
plasma[] = 0.794549;
plasma +=1;
plasma[] = 0.27577;
plasma +=1;
plasma[] = 0.473117;
plasma +=1;
plasma[] = 0.798216;
plasma +=1;
plasma[] = 0.280197;
plasma +=1;
plasma[] = 0.469538;
plasma +=1;
plasma[] = 0.801855;
plasma +=1;
plasma[] = 0.284626;
plasma +=1;
plasma[] = 0.465971;
plasma +=1;
plasma[] = 0.805467;
plasma +=1;
plasma[] = 0.289057;
plasma +=1;
plasma[] = 0.462415;
plasma +=1;
plasma[] = 0.809052;
plasma +=1;
plasma[] = 0.293491;
plasma +=1;
plasma[] = 0.45887;
plasma +=1;
plasma[] = 0.812612;
plasma +=1;
plasma[] = 0.297928;
plasma +=1;
plasma[] = 0.455338;
plasma +=1;
plasma[] = 0.816144;
plasma +=1;
plasma[] = 0.302368;
plasma +=1;
plasma[] = 0.451816;
plasma +=1;
plasma[] = 0.819651;
plasma +=1;
plasma[] = 0.306812;
plasma +=1;
plasma[] = 0.448306;
plasma +=1;
plasma[] = 0.823132;
plasma +=1;
plasma[] = 0.311261;
plasma +=1;
plasma[] = 0.444806;
plasma +=1;
plasma[] = 0.826588;
plasma +=1;
plasma[] = 0.315714;
plasma +=1;
plasma[] = 0.441316;
plasma +=1;
plasma[] = 0.830018;
plasma +=1;
plasma[] = 0.320172;
plasma +=1;
plasma[] = 0.437836;
plasma +=1;
plasma[] = 0.833422;
plasma +=1;
plasma[] = 0.324635;
plasma +=1;
plasma[] = 0.434366;
plasma +=1;
plasma[] = 0.836801;
plasma +=1;
plasma[] = 0.329105;
plasma +=1;
plasma[] = 0.430905;
plasma +=1;
plasma[] = 0.840155;
plasma +=1;
plasma[] = 0.33358;
plasma +=1;
plasma[] = 0.427455;
plasma +=1;
plasma[] = 0.843484;
plasma +=1;
plasma[] = 0.338062;
plasma +=1;
plasma[] = 0.424013;
plasma +=1;
plasma[] = 0.846788;
plasma +=1;
plasma[] = 0.342551;
plasma +=1;
plasma[] = 0.420579;
plasma +=1;
plasma[] = 0.850066;
plasma +=1;
plasma[] = 0.347048;
plasma +=1;
plasma[] = 0.417153;
plasma +=1;
plasma[] = 0.853319;
plasma +=1;
plasma[] = 0.351553;
plasma +=1;
plasma[] = 0.413734;
plasma +=1;
plasma[] = 0.856547;
plasma +=1;
plasma[] = 0.356066;
plasma +=1;
plasma[] = 0.410322;
plasma +=1;
plasma[] = 0.85975;
plasma +=1;
plasma[] = 0.360588;
plasma +=1;
plasma[] = 0.406917;
plasma +=1;
plasma[] = 0.862927;
plasma +=1;
plasma[] = 0.365119;
plasma +=1;
plasma[] = 0.403519;
plasma +=1;
plasma[] = 0.866078;
plasma +=1;
plasma[] = 0.36966;
plasma +=1;
plasma[] = 0.400126;
plasma +=1;
plasma[] = 0.869203;
plasma +=1;
plasma[] = 0.374212;
plasma +=1;
plasma[] = 0.396738;
plasma +=1;
plasma[] = 0.872303;
plasma +=1;
plasma[] = 0.378774;
plasma +=1;
plasma[] = 0.393355;
plasma +=1;
plasma[] = 0.875376;
plasma +=1;
plasma[] = 0.383347;
plasma +=1;
plasma[] = 0.389976;
plasma +=1;
plasma[] = 0.878423;
plasma +=1;
plasma[] = 0.387932;
plasma +=1;
plasma[] = 0.3866;
plasma +=1;
plasma[] = 0.881443;
plasma +=1;
plasma[] = 0.392529;
plasma +=1;
plasma[] = 0.383229;
plasma +=1;
plasma[] = 0.884436;
plasma +=1;
plasma[] = 0.397139;
plasma +=1;
plasma[] = 0.37986;
plasma +=1;
plasma[] = 0.887402;
plasma +=1;
plasma[] = 0.401762;
plasma +=1;
plasma[] = 0.376494;
plasma +=1;
plasma[] = 0.89034;
plasma +=1;
plasma[] = 0.406398;
plasma +=1;
plasma[] = 0.37313;
plasma +=1;
plasma[] = 0.89325;
plasma +=1;
plasma[] = 0.411048;
plasma +=1;
plasma[] = 0.369768;
plasma +=1;
plasma[] = 0.896131;
plasma +=1;
plasma[] = 0.415712;
plasma +=1;
plasma[] = 0.366407;
plasma +=1;
plasma[] = 0.898984;
plasma +=1;
plasma[] = 0.420392;
plasma +=1;
plasma[] = 0.363047;
plasma +=1;
plasma[] = 0.901807;
plasma +=1;
plasma[] = 0.425087;
plasma +=1;
plasma[] = 0.359688;
plasma +=1;
plasma[] = 0.904601;
plasma +=1;
plasma[] = 0.429797;
plasma +=1;
plasma[] = 0.356329;
plasma +=1;
plasma[] = 0.907365;
plasma +=1;
plasma[] = 0.434524;
plasma +=1;
plasma[] = 0.35297;
plasma +=1;
plasma[] = 0.910098;
plasma +=1;
plasma[] = 0.439268;
plasma +=1;
plasma[] = 0.34961;
plasma +=1;
plasma[] = 0.9128;
plasma +=1;
plasma[] = 0.444029;
plasma +=1;
plasma[] = 0.346251;
plasma +=1;
plasma[] = 0.915471;
plasma +=1;
plasma[] = 0.448807;
plasma +=1;
plasma[] = 0.34289;
plasma +=1;
plasma[] = 0.918109;
plasma +=1;
plasma[] = 0.453603;
plasma +=1;
plasma[] = 0.339529;
plasma +=1;
plasma[] = 0.920714;
plasma +=1;
plasma[] = 0.458417;
plasma +=1;
plasma[] = 0.336166;
plasma +=1;
plasma[] = 0.923287;
plasma +=1;
plasma[] = 0.463251;
plasma +=1;
plasma[] = 0.332801;
plasma +=1;
plasma[] = 0.925825;
plasma +=1;
plasma[] = 0.468103;
plasma +=1;
plasma[] = 0.329435;
plasma +=1;
plasma[] = 0.928329;
plasma +=1;
plasma[] = 0.472975;
plasma +=1;
plasma[] = 0.326067;
plasma +=1;
plasma[] = 0.930798;
plasma +=1;
plasma[] = 0.477867;
plasma +=1;
plasma[] = 0.322697;
plasma +=1;
plasma[] = 0.933232;
plasma +=1;
plasma[] = 0.48278;
plasma +=1;
plasma[] = 0.319325;
plasma +=1;
plasma[] = 0.93563;
plasma +=1;
plasma[] = 0.487712;
plasma +=1;
plasma[] = 0.315952;
plasma +=1;
plasma[] = 0.93799;
plasma +=1;
plasma[] = 0.492667;
plasma +=1;
plasma[] = 0.312575;
plasma +=1;
plasma[] = 0.940313;
plasma +=1;
plasma[] = 0.497642;
plasma +=1;
plasma[] = 0.309197;
plasma +=1;
plasma[] = 0.942598;
plasma +=1;
plasma[] = 0.502639;
plasma +=1;
plasma[] = 0.305816;
plasma +=1;
plasma[] = 0.944844;
plasma +=1;
plasma[] = 0.507658;
plasma +=1;
plasma[] = 0.302433;
plasma +=1;
plasma[] = 0.947051;
plasma +=1;
plasma[] = 0.512699;
plasma +=1;
plasma[] = 0.299049;
plasma +=1;
plasma[] = 0.949217;
plasma +=1;
plasma[] = 0.517763;
plasma +=1;
plasma[] = 0.295662;
plasma +=1;
plasma[] = 0.951344;
plasma +=1;
plasma[] = 0.52285;
plasma +=1;
plasma[] = 0.292275;
plasma +=1;
plasma[] = 0.953428;
plasma +=1;
plasma[] = 0.52796;
plasma +=1;
plasma[] = 0.288883;
plasma +=1;
plasma[] = 0.95547;
plasma +=1;
plasma[] = 0.533093;
plasma +=1;
plasma[] = 0.28549;
plasma +=1;
plasma[] = 0.957469;
plasma +=1;
plasma[] = 0.53825;
plasma +=1;
plasma[] = 0.282096;
plasma +=1;
plasma[] = 0.959424;
plasma +=1;
plasma[] = 0.543431;
plasma +=1;
plasma[] = 0.278701;
plasma +=1;
plasma[] = 0.961336;
plasma +=1;
plasma[] = 0.548636;
plasma +=1;
plasma[] = 0.275305;
plasma +=1;
plasma[] = 0.963203;
plasma +=1;
plasma[] = 0.553865;
plasma +=1;
plasma[] = 0.271909;
plasma +=1;
plasma[] = 0.965024;
plasma +=1;
plasma[] = 0.559118;
plasma +=1;
plasma[] = 0.268513;
plasma +=1;
plasma[] = 0.966798;
plasma +=1;
plasma[] = 0.564396;
plasma +=1;
plasma[] = 0.265118;
plasma +=1;
plasma[] = 0.968526;
plasma +=1;
plasma[] = 0.5697;
plasma +=1;
plasma[] = 0.261721;
plasma +=1;
plasma[] = 0.970205;
plasma +=1;
plasma[] = 0.575028;
plasma +=1;
plasma[] = 0.258325;
plasma +=1;
plasma[] = 0.971835;
plasma +=1;
plasma[] = 0.580382;
plasma +=1;
plasma[] = 0.254931;
plasma +=1;
plasma[] = 0.973416;
plasma +=1;
plasma[] = 0.585761;
plasma +=1;
plasma[] = 0.25154;
plasma +=1;
plasma[] = 0.974947;
plasma +=1;
plasma[] = 0.591165;
plasma +=1;
plasma[] = 0.248151;
plasma +=1;
plasma[] = 0.976428;
plasma +=1;
plasma[] = 0.596595;
plasma +=1;
plasma[] = 0.244767;
plasma +=1;
plasma[] = 0.977856;
plasma +=1;
plasma[] = 0.602051;
plasma +=1;
plasma[] = 0.241387;
plasma +=1;
plasma[] = 0.979233;
plasma +=1;
plasma[] = 0.607532;
plasma +=1;
plasma[] = 0.238013;
plasma +=1;
plasma[] = 0.980556;
plasma +=1;
plasma[] = 0.613039;
plasma +=1;
plasma[] = 0.234646;
plasma +=1;
plasma[] = 0.981826;
plasma +=1;
plasma[] = 0.618572;
plasma +=1;
plasma[] = 0.231287;
plasma +=1;
plasma[] = 0.983041;
plasma +=1;
plasma[] = 0.624131;
plasma +=1;
plasma[] = 0.227937;
plasma +=1;
plasma[] = 0.984199;
plasma +=1;
plasma[] = 0.629718;
plasma +=1;
plasma[] = 0.224595;
plasma +=1;
plasma[] = 0.985301;
plasma +=1;
plasma[] = 0.63533;
plasma +=1;
plasma[] = 0.221265;
plasma +=1;
plasma[] = 0.986345;
plasma +=1;
plasma[] = 0.640969;
plasma +=1;
plasma[] = 0.217948;
plasma +=1;
plasma[] = 0.987332;
plasma +=1;
plasma[] = 0.646633;
plasma +=1;
plasma[] = 0.214648;
plasma +=1;
plasma[] = 0.98826;
plasma +=1;
plasma[] = 0.652325;
plasma +=1;
plasma[] = 0.211364;
plasma +=1;
plasma[] = 0.989128;
plasma +=1;
plasma[] = 0.658043;
plasma +=1;
plasma[] = 0.2081;
plasma +=1;
plasma[] = 0.989935;
plasma +=1;
plasma[] = 0.663787;
plasma +=1;
plasma[] = 0.204859;
plasma +=1;
plasma[] = 0.990681;
plasma +=1;
plasma[] = 0.669558;
plasma +=1;
plasma[] = 0.201642;
plasma +=1;
plasma[] = 0.991365;
plasma +=1;
plasma[] = 0.675355;
plasma +=1;
plasma[] = 0.198453;
plasma +=1;
plasma[] = 0.991985;
plasma +=1;
plasma[] = 0.681179;
plasma +=1;
plasma[] = 0.195295;
plasma +=1;
plasma[] = 0.992541;
plasma +=1;
plasma[] = 0.68703;
plasma +=1;
plasma[] = 0.19217;
plasma +=1;
plasma[] = 0.993032;
plasma +=1;
plasma[] = 0.692907;
plasma +=1;
plasma[] = 0.189084;
plasma +=1;
plasma[] = 0.993456;
plasma +=1;
plasma[] = 0.69881;
plasma +=1;
plasma[] = 0.186041;
plasma +=1;
plasma[] = 0.993814;
plasma +=1;
plasma[] = 0.704741;
plasma +=1;
plasma[] = 0.183043;
plasma +=1;
plasma[] = 0.994103;
plasma +=1;
plasma[] = 0.710698;
plasma +=1;
plasma[] = 0.180097;
plasma +=1;
plasma[] = 0.994324;
plasma +=1;
plasma[] = 0.716681;
plasma +=1;
plasma[] = 0.177208;
plasma +=1;
plasma[] = 0.994474;
plasma +=1;
plasma[] = 0.722691;
plasma +=1;
plasma[] = 0.174381;
plasma +=1;
plasma[] = 0.994553;
plasma +=1;
plasma[] = 0.728728;
plasma +=1;
plasma[] = 0.171622;
plasma +=1;
plasma[] = 0.994561;
plasma +=1;
plasma[] = 0.734791;
plasma +=1;
plasma[] = 0.168938;
plasma +=1;
plasma[] = 0.994495;
plasma +=1;
plasma[] = 0.74088;
plasma +=1;
plasma[] = 0.166335;
plasma +=1;
plasma[] = 0.994355;
plasma +=1;
plasma[] = 0.746995;
plasma +=1;
plasma[] = 0.163821;
plasma +=1;
plasma[] = 0.994141;
plasma +=1;
plasma[] = 0.753137;
plasma +=1;
plasma[] = 0.161404;
plasma +=1;
plasma[] = 0.993851;
plasma +=1;
plasma[] = 0.759304;
plasma +=1;
plasma[] = 0.159092;
plasma +=1;
plasma[] = 0.993482;
plasma +=1;
plasma[] = 0.765499;
plasma +=1;
plasma[] = 0.156891;
plasma +=1;
plasma[] = 0.993033;
plasma +=1;
plasma[] = 0.77172;
plasma +=1;
plasma[] = 0.154808;
plasma +=1;
plasma[] = 0.992505;
plasma +=1;
plasma[] = 0.777967;
plasma +=1;
plasma[] = 0.152855;
plasma +=1;
plasma[] = 0.991897;
plasma +=1;
plasma[] = 0.784239;
plasma +=1;
plasma[] = 0.151042;
plasma +=1;
plasma[] = 0.991209;
plasma +=1;
plasma[] = 0.790537;
plasma +=1;
plasma[] = 0.149377;
plasma +=1;
plasma[] = 0.990439;
plasma +=1;
plasma[] = 0.796859;
plasma +=1;
plasma[] = 0.14787;
plasma +=1;
plasma[] = 0.989587;
plasma +=1;
plasma[] = 0.803205;
plasma +=1;
plasma[] = 0.146529;
plasma +=1;
plasma[] = 0.988648;
plasma +=1;
plasma[] = 0.809579;
plasma +=1;
plasma[] = 0.145357;
plasma +=1;
plasma[] = 0.987621;
plasma +=1;
plasma[] = 0.815978;
plasma +=1;
plasma[] = 0.144363;
plasma +=1;
plasma[] = 0.986509;
plasma +=1;
plasma[] = 0.822401;
plasma +=1;
plasma[] = 0.143557;
plasma +=1;
plasma[] = 0.985314;
plasma +=1;
plasma[] = 0.828846;
plasma +=1;
plasma[] = 0.142945;
plasma +=1;
plasma[] = 0.984031;
plasma +=1;
plasma[] = 0.835315;
plasma +=1;
plasma[] = 0.142528;
plasma +=1;
plasma[] = 0.982653;
plasma +=1;
plasma[] = 0.841812;
plasma +=1;
plasma[] = 0.142303;
plasma +=1;
plasma[] = 0.98119;
plasma +=1;
plasma[] = 0.848329;
plasma +=1;
plasma[] = 0.142279;
plasma +=1;
plasma[] = 0.979644;
plasma +=1;
plasma[] = 0.854866;
plasma +=1;
plasma[] = 0.142453;
plasma +=1;
plasma[] = 0.977995;
plasma +=1;
plasma[] = 0.861432;
plasma +=1;
plasma[] = 0.142808;
plasma +=1;
plasma[] = 0.976265;
plasma +=1;
plasma[] = 0.868016;
plasma +=1;
plasma[] = 0.143351;
plasma +=1;
plasma[] = 0.974443;
plasma +=1;
plasma[] = 0.874622;
plasma +=1;
plasma[] = 0.144061;
plasma +=1;
plasma[] = 0.97253;
plasma +=1;
plasma[] = 0.88125;
plasma +=1;
plasma[] = 0.144923;
plasma +=1;
plasma[] = 0.970533;
plasma +=1;
plasma[] = 0.887896;
plasma +=1;
plasma[] = 0.145919;
plasma +=1;
plasma[] = 0.968443;
plasma +=1;
plasma[] = 0.894564;
plasma +=1;
plasma[] = 0.147014;
plasma +=1;
plasma[] = 0.966271;
plasma +=1;
plasma[] = 0.901249;
plasma +=1;
plasma[] = 0.14818;
plasma +=1;
plasma[] = 0.964021;
plasma +=1;
plasma[] = 0.90795;
plasma +=1;
plasma[] = 0.14937;
plasma +=1;
plasma[] = 0.961681;
plasma +=1;
plasma[] = 0.914672;
plasma +=1;
plasma[] = 0.15052;
plasma +=1;
plasma[] = 0.959276;
plasma +=1;
plasma[] = 0.921407;
plasma +=1;
plasma[] = 0.151566;
plasma +=1;
plasma[] = 0.956808;
plasma +=1;
plasma[] = 0.928152;
plasma +=1;
plasma[] = 0.152409;
plasma +=1;
plasma[] = 0.954287;
plasma +=1;
plasma[] = 0.934908;
plasma +=1;
plasma[] = 0.152921;
plasma +=1;
plasma[] = 0.951726;
plasma +=1;
plasma[] = 0.941671;
plasma +=1;
plasma[] = 0.152925;
plasma +=1;
plasma[] = 0.949151;
plasma +=1;
plasma[] = 0.948435;
plasma +=1;
plasma[] = 0.152178;
plasma +=1;
plasma[] = 0.946602;
plasma +=1;
plasma[] = 0.95519;
plasma +=1;
plasma[] = 0.150328;
plasma +=1;
plasma[] = 0.944152;
plasma +=1;
plasma[] = 0.961916;
plasma +=1;
plasma[] = 0.146861;
plasma +=1;
plasma[] = 0.941896;
plasma +=1;
plasma[] = 0.96859;
plasma +=1;
plasma[] = 0.140956;
plasma +=1;
plasma[] = 0.940015;
plasma +=1;
plasma[] = 0.975158;
plasma +=1;
plasma[] = 0.131326;
plasma +=1;
turbo[] = 0.18995; turbo += 1;
turbo[] = 0.07176; turbo += 1;
turbo[] = 0.23217; turbo += 1;
turbo[] = 0.19483; turbo += 1;
turbo[] = 0.08339; turbo += 1;
turbo[] = 0.26149; turbo += 1;
turbo[] = 0.19956; turbo += 1;
turbo[] = 0.09498; turbo += 1;
turbo[] = 0.29024; turbo += 1;
turbo[] = 0.20415; turbo += 1;
turbo[] = 0.10652; turbo += 1;
turbo[] = 0.31844; turbo += 1;
turbo[] = 0.2086; turbo += 1;
turbo[] = 0.11802; turbo += 1;
turbo[] = 0.34607; turbo += 1;
turbo[] = 0.21291; turbo += 1;
turbo[] = 0.12947; turbo += 1;
turbo[] = 0.37314; turbo += 1;
turbo[] = 0.21708; turbo += 1;
turbo[] = 0.14087; turbo += 1;
turbo[] = 0.39964; turbo += 1;
turbo[] = 0.22111; turbo += 1;
turbo[] = 0.15223; turbo += 1;
turbo[] = 0.42558; turbo += 1;
turbo[] = 0.225; turbo += 1;
turbo[] = 0.16354; turbo += 1;
turbo[] = 0.45096; turbo += 1;
turbo[] = 0.22875; turbo += 1;
turbo[] = 0.17481; turbo += 1;
turbo[] = 0.47578; turbo += 1;
turbo[] = 0.23236; turbo += 1;
turbo[] = 0.18603; turbo += 1;
turbo[] = 0.50004; turbo += 1;
turbo[] = 0.23582; turbo += 1;
turbo[] = 0.1972; turbo += 1;
turbo[] = 0.52373; turbo += 1;
turbo[] = 0.23915; turbo += 1;
turbo[] = 0.20833; turbo += 1;
turbo[] = 0.54686; turbo += 1;
turbo[] = 0.24234; turbo += 1;
turbo[] = 0.21941; turbo += 1;
turbo[] = 0.56942; turbo += 1;
turbo[] = 0.24539; turbo += 1;
turbo[] = 0.23044; turbo += 1;
turbo[] = 0.59142; turbo += 1;
turbo[] = 0.2483; turbo += 1;
turbo[] = 0.24143; turbo += 1;
turbo[] = 0.61286; turbo += 1;
turbo[] = 0.25107; turbo += 1;
turbo[] = 0.25237; turbo += 1;
turbo[] = 0.63374; turbo += 1;
turbo[] = 0.25369; turbo += 1;
turbo[] = 0.26327; turbo += 1;
turbo[] = 0.65406; turbo += 1;
turbo[] = 0.25618; turbo += 1;
turbo[] = 0.27412; turbo += 1;
turbo[] = 0.67381; turbo += 1;
turbo[] = 0.25853; turbo += 1;
turbo[] = 0.28492; turbo += 1;
turbo[] = 0.693; turbo += 1;
turbo[] = 0.26074; turbo += 1;
turbo[] = 0.29568; turbo += 1;
turbo[] = 0.71162; turbo += 1;
turbo[] = 0.2628; turbo += 1;
turbo[] = 0.30639; turbo += 1;
turbo[] = 0.72968; turbo += 1;
turbo[] = 0.26473; turbo += 1;
turbo[] = 0.31706; turbo += 1;
turbo[] = 0.74718; turbo += 1;
turbo[] = 0.26652; turbo += 1;
turbo[] = 0.32768; turbo += 1;
turbo[] = 0.76412; turbo += 1;
turbo[] = 0.26816; turbo += 1;
turbo[] = 0.33825; turbo += 1;
turbo[] = 0.7805; turbo += 1;
turbo[] = 0.26967; turbo += 1;
turbo[] = 0.34878; turbo += 1;
turbo[] = 0.79631; turbo += 1;
turbo[] = 0.27103; turbo += 1;
turbo[] = 0.35926; turbo += 1;
turbo[] = 0.81156; turbo += 1;
turbo[] = 0.27226; turbo += 1;
turbo[] = 0.3697; turbo += 1;
turbo[] = 0.82624; turbo += 1;
turbo[] = 0.27334; turbo += 1;
turbo[] = 0.38008; turbo += 1;
turbo[] = 0.84037; turbo += 1;
turbo[] = 0.27429; turbo += 1;
turbo[] = 0.39043; turbo += 1;
turbo[] = 0.85393; turbo += 1;
turbo[] = 0.27509; turbo += 1;
turbo[] = 0.40072; turbo += 1;
turbo[] = 0.86692; turbo += 1;
turbo[] = 0.27576; turbo += 1;
turbo[] = 0.41097; turbo += 1;
turbo[] = 0.87936; turbo += 1;
turbo[] = 0.27628; turbo += 1;
turbo[] = 0.42118; turbo += 1;
turbo[] = 0.89123; turbo += 1;
turbo[] = 0.27667; turbo += 1;
turbo[] = 0.43134; turbo += 1;
turbo[] = 0.90254; turbo += 1;
turbo[] = 0.27691; turbo += 1;
turbo[] = 0.44145; turbo += 1;
turbo[] = 0.91328; turbo += 1;
turbo[] = 0.27701; turbo += 1;
turbo[] = 0.45152; turbo += 1;
turbo[] = 0.92347; turbo += 1;
turbo[] = 0.27698; turbo += 1;
turbo[] = 0.46153; turbo += 1;
turbo[] = 0.93309; turbo += 1;
turbo[] = 0.2768; turbo += 1;
turbo[] = 0.47151; turbo += 1;
turbo[] = 0.94214; turbo += 1;
turbo[] = 0.27648; turbo += 1;
turbo[] = 0.48144; turbo += 1;
turbo[] = 0.95064; turbo += 1;
turbo[] = 0.27603; turbo += 1;
turbo[] = 0.49132; turbo += 1;
turbo[] = 0.95857; turbo += 1;
turbo[] = 0.27543; turbo += 1;
turbo[] = 0.50115; turbo += 1;
turbo[] = 0.96594; turbo += 1;
turbo[] = 0.27469; turbo += 1;
turbo[] = 0.51094; turbo += 1;
turbo[] = 0.97275; turbo += 1;
turbo[] = 0.27381; turbo += 1;
turbo[] = 0.52069; turbo += 1;
turbo[] = 0.97899; turbo += 1;
turbo[] = 0.27273; turbo += 1;
turbo[] = 0.5304; turbo += 1;
turbo[] = 0.98461; turbo += 1;
turbo[] = 0.27106; turbo += 1;
turbo[] = 0.54015; turbo += 1;
turbo[] = 0.9893; turbo += 1;
turbo[] = 0.26878; turbo += 1;
turbo[] = 0.54995; turbo += 1;
turbo[] = 0.99303; turbo += 1;
turbo[] = 0.26592; turbo += 1;
turbo[] = 0.55979; turbo += 1;
turbo[] = 0.99583; turbo += 1;
turbo[] = 0.26252; turbo += 1;
turbo[] = 0.56967; turbo += 1;
turbo[] = 0.99773; turbo += 1;
turbo[] = 0.25862; turbo += 1;
turbo[] = 0.57958; turbo += 1;
turbo[] = 0.99876; turbo += 1;
turbo[] = 0.25425; turbo += 1;
turbo[] = 0.5895; turbo += 1;
turbo[] = 0.99896; turbo += 1;
turbo[] = 0.24946; turbo += 1;
turbo[] = 0.59943; turbo += 1;
turbo[] = 0.99835; turbo += 1;
turbo[] = 0.24427; turbo += 1;
turbo[] = 0.60937; turbo += 1;
turbo[] = 0.99697; turbo += 1;
turbo[] = 0.23874; turbo += 1;
turbo[] = 0.61931; turbo += 1;
turbo[] = 0.99485; turbo += 1;
turbo[] = 0.23288; turbo += 1;
turbo[] = 0.62923; turbo += 1;
turbo[] = 0.99202; turbo += 1;
turbo[] = 0.22676; turbo += 1;
turbo[] = 0.63913; turbo += 1;
turbo[] = 0.98851; turbo += 1;
turbo[] = 0.22039; turbo += 1;
turbo[] = 0.64901; turbo += 1;
turbo[] = 0.98436; turbo += 1;
turbo[] = 0.21382; turbo += 1;
turbo[] = 0.65886; turbo += 1;
turbo[] = 0.97959; turbo += 1;
turbo[] = 0.20708; turbo += 1;
turbo[] = 0.66866; turbo += 1;
turbo[] = 0.97423; turbo += 1;
turbo[] = 0.20021; turbo += 1;
turbo[] = 0.67842; turbo += 1;
turbo[] = 0.96833; turbo += 1;
turbo[] = 0.19326; turbo += 1;
turbo[] = 0.68812; turbo += 1;
turbo[] = 0.9619; turbo += 1;
turbo[] = 0.18625; turbo += 1;
turbo[] = 0.69775; turbo += 1;
turbo[] = 0.95498; turbo += 1;
turbo[] = 0.17923; turbo += 1;
turbo[] = 0.70732; turbo += 1;
turbo[] = 0.94761; turbo += 1;
turbo[] = 0.17223; turbo += 1;
turbo[] = 0.7168; turbo += 1;
turbo[] = 0.93981; turbo += 1;
turbo[] = 0.16529; turbo += 1;
turbo[] = 0.7262; turbo += 1;
turbo[] = 0.93161; turbo += 1;
turbo[] = 0.15844; turbo += 1;
turbo[] = 0.73551; turbo += 1;
turbo[] = 0.92305; turbo += 1;
turbo[] = 0.15173; turbo += 1;
turbo[] = 0.74472; turbo += 1;
turbo[] = 0.91416; turbo += 1;
turbo[] = 0.14519; turbo += 1;
turbo[] = 0.75381; turbo += 1;
turbo[] = 0.90496; turbo += 1;
turbo[] = 0.13886; turbo += 1;
turbo[] = 0.76279; turbo += 1;
turbo[] = 0.8955; turbo += 1;
turbo[] = 0.13278; turbo += 1;
turbo[] = 0.77165; turbo += 1;
turbo[] = 0.8858; turbo += 1;
turbo[] = 0.12698; turbo += 1;
turbo[] = 0.78037; turbo += 1;
turbo[] = 0.8759; turbo += 1;
turbo[] = 0.12151; turbo += 1;
turbo[] = 0.78896; turbo += 1;
turbo[] = 0.86581; turbo += 1;
turbo[] = 0.11639; turbo += 1;
turbo[] = 0.7974; turbo += 1;
turbo[] = 0.85559; turbo += 1;
turbo[] = 0.11167; turbo += 1;
turbo[] = 0.80569; turbo += 1;
turbo[] = 0.84525; turbo += 1;
turbo[] = 0.10738; turbo += 1;
turbo[] = 0.81381; turbo += 1;
turbo[] = 0.83484; turbo += 1;
turbo[] = 0.10357; turbo += 1;
turbo[] = 0.82177; turbo += 1;
turbo[] = 0.82437; turbo += 1;
turbo[] = 0.10026; turbo += 1;
turbo[] = 0.82955; turbo += 1;
turbo[] = 0.81389; turbo += 1;
turbo[] = 0.0975; turbo += 1;
turbo[] = 0.83714; turbo += 1;
turbo[] = 0.80342; turbo += 1;
turbo[] = 0.09532; turbo += 1;
turbo[] = 0.84455; turbo += 1;
turbo[] = 0.79299; turbo += 1;
turbo[] = 0.09377; turbo += 1;
turbo[] = 0.85175; turbo += 1;
turbo[] = 0.78264; turbo += 1;
turbo[] = 0.09287; turbo += 1;
turbo[] = 0.85875; turbo += 1;
turbo[] = 0.7724; turbo += 1;
turbo[] = 0.09267; turbo += 1;
turbo[] = 0.86554; turbo += 1;
turbo[] = 0.7623; turbo += 1;
turbo[] = 0.0932; turbo += 1;
turbo[] = 0.87211; turbo += 1;
turbo[] = 0.75237; turbo += 1;
turbo[] = 0.09451; turbo += 1;
turbo[] = 0.87844; turbo += 1;
turbo[] = 0.74265; turbo += 1;
turbo[] = 0.09662; turbo += 1;
turbo[] = 0.88454; turbo += 1;
turbo[] = 0.73316; turbo += 1;
turbo[] = 0.09958; turbo += 1;
turbo[] = 0.8904; turbo += 1;
turbo[] = 0.72393; turbo += 1;
turbo[] = 0.10342; turbo += 1;
turbo[] = 0.896; turbo += 1;
turbo[] = 0.715; turbo += 1;
turbo[] = 0.10815; turbo += 1;
turbo[] = 0.90142; turbo += 1;
turbo[] = 0.70599; turbo += 1;
turbo[] = 0.11374; turbo += 1;
turbo[] = 0.90673; turbo += 1;
turbo[] = 0.69651; turbo += 1;
turbo[] = 0.12014; turbo += 1;
turbo[] = 0.91193; turbo += 1;
turbo[] = 0.6866; turbo += 1;
turbo[] = 0.12733; turbo += 1;
turbo[] = 0.91701; turbo += 1;
turbo[] = 0.67627; turbo += 1;
turbo[] = 0.13526; turbo += 1;
turbo[] = 0.92197; turbo += 1;
turbo[] = 0.66556; turbo += 1;
turbo[] = 0.14391; turbo += 1;
turbo[] = 0.9268; turbo += 1;
turbo[] = 0.65448; turbo += 1;
turbo[] = 0.15323; turbo += 1;
turbo[] = 0.93151; turbo += 1;
turbo[] = 0.64308; turbo += 1;
turbo[] = 0.16319; turbo += 1;
turbo[] = 0.93609; turbo += 1;
turbo[] = 0.63137; turbo += 1;
turbo[] = 0.17377; turbo += 1;
turbo[] = 0.94053; turbo += 1;
turbo[] = 0.61938; turbo += 1;
turbo[] = 0.18491; turbo += 1;
turbo[] = 0.94484; turbo += 1;
turbo[] = 0.60713; turbo += 1;
turbo[] = 0.19659; turbo += 1;
turbo[] = 0.94901; turbo += 1;
turbo[] = 0.59466; turbo += 1;
turbo[] = 0.20877; turbo += 1;
turbo[] = 0.95304; turbo += 1;
turbo[] = 0.58199; turbo += 1;
turbo[] = 0.22142; turbo += 1;
turbo[] = 0.95692; turbo += 1;
turbo[] = 0.56914; turbo += 1;
turbo[] = 0.23449; turbo += 1;
turbo[] = 0.96065; turbo += 1;
turbo[] = 0.55614; turbo += 1;
turbo[] = 0.24797; turbo += 1;
turbo[] = 0.96423; turbo += 1;
turbo[] = 0.54303; turbo += 1;
turbo[] = 0.2618; turbo += 1;
turbo[] = 0.96765; turbo += 1;
turbo[] = 0.52981; turbo += 1;
turbo[] = 0.27597; turbo += 1;
turbo[] = 0.97092; turbo += 1;
turbo[] = 0.51653; turbo += 1;
turbo[] = 0.29042; turbo += 1;
turbo[] = 0.97403; turbo += 1;
turbo[] = 0.50321; turbo += 1;
turbo[] = 0.30513; turbo += 1;
turbo[] = 0.97697; turbo += 1;
turbo[] = 0.48987; turbo += 1;
turbo[] = 0.32006; turbo += 1;
turbo[] = 0.97974; turbo += 1;
turbo[] = 0.47654; turbo += 1;
turbo[] = 0.33517; turbo += 1;
turbo[] = 0.98234; turbo += 1;
turbo[] = 0.46325; turbo += 1;
turbo[] = 0.35043; turbo += 1;
turbo[] = 0.98477; turbo += 1;
turbo[] = 0.45002; turbo += 1;
turbo[] = 0.36581; turbo += 1;
turbo[] = 0.98702; turbo += 1;
turbo[] = 0.43688; turbo += 1;
turbo[] = 0.38127; turbo += 1;
turbo[] = 0.98909; turbo += 1;
turbo[] = 0.42386; turbo += 1;
turbo[] = 0.39678; turbo += 1;
turbo[] = 0.99098; turbo += 1;
turbo[] = 0.41098; turbo += 1;
turbo[] = 0.41229; turbo += 1;
turbo[] = 0.99268; turbo += 1;
turbo[] = 0.39826; turbo += 1;
turbo[] = 0.42778; turbo += 1;
turbo[] = 0.99419; turbo += 1;
turbo[] = 0.38575; turbo += 1;
turbo[] = 0.44321; turbo += 1;
turbo[] = 0.99551; turbo += 1;
turbo[] = 0.37345; turbo += 1;
turbo[] = 0.45854; turbo += 1;
turbo[] = 0.99663; turbo += 1;
turbo[] = 0.3614; turbo += 1;
turbo[] = 0.47375; turbo += 1;
turbo[] = 0.99755; turbo += 1;
turbo[] = 0.34963; turbo += 1;
turbo[] = 0.48879; turbo += 1;
turbo[] = 0.99828; turbo += 1;
turbo[] = 0.33816; turbo += 1;
turbo[] = 0.50362; turbo += 1;
turbo[] = 0.99879; turbo += 1;
turbo[] = 0.32701; turbo += 1;
turbo[] = 0.51822; turbo += 1;
turbo[] = 0.9991; turbo += 1;
turbo[] = 0.31622; turbo += 1;
turbo[] = 0.53255; turbo += 1;
turbo[] = 0.99919; turbo += 1;
turbo[] = 0.30581; turbo += 1;
turbo[] = 0.54658; turbo += 1;
turbo[] = 0.99907; turbo += 1;
turbo[] = 0.29581; turbo += 1;
turbo[] = 0.56026; turbo += 1;
turbo[] = 0.99873; turbo += 1;
turbo[] = 0.28623; turbo += 1;
turbo[] = 0.57357; turbo += 1;
turbo[] = 0.99817; turbo += 1;
turbo[] = 0.27712; turbo += 1;
turbo[] = 0.58646; turbo += 1;
turbo[] = 0.99739; turbo += 1;
turbo[] = 0.26849; turbo += 1;
turbo[] = 0.59891; turbo += 1;
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turbo[] = 0.61088; turbo += 1;
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turbo[] = 0.98775; turbo += 1;
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bluered[] = 0.1463; bluered += 1;
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bluered[] = 0.3296; bluered += 1;
bluered[] = 0.3692; bluered += 1;
bluered[] = 0.7146; bluered += 1;
bluered[] = 0.3284; bluered += 1;
bluered[] = 0.3787; bluered += 1;
bluered[] = 0.7241; bluered += 1;
bluered[] = 0.327; bluered += 1;
bluered[] = 0.3883; bluered += 1;
bluered[] = 0.7333; bluered += 1;
bluered[] = 0.3254; bluered += 1;
bluered[] = 0.3979; bluered += 1;
bluered[] = 0.7422; bluered += 1;
bluered[] = 0.3236; bluered += 1;
bluered[] = 0.4076; bluered += 1;
bluered[] = 0.7508; bluered += 1;
bluered[] = 0.3215; bluered += 1;
bluered[] = 0.4173; bluered += 1;
bluered[] = 0.759; bluered += 1;
bluered[] = 0.3192; bluered += 1;
bluered[] = 0.4271; bluered += 1;
bluered[] = 0.767; bluered += 1;
bluered[] = 0.3167; bluered += 1;
bluered[] = 0.437; bluered += 1;
bluered[] = 0.7745; bluered += 1;
bluered[] = 0.314; bluered += 1;
bluered[] = 0.4469; bluered += 1;
bluered[] = 0.7818; bluered += 1;
bluered[] = 0.3111; bluered += 1;
bluered[] = 0.4568; bluered += 1;
bluered[] = 0.7887; bluered += 1;
bluered[] = 0.3081; bluered += 1;
bluered[] = 0.4667; bluered += 1;
bluered[] = 0.7953; bluered += 1;
bluered[] = 0.305; bluered += 1;
bluered[] = 0.4766; bluered += 1;
bluered[] = 0.8016; bluered += 1;
bluered[] = 0.3018; bluered += 1;
bluered[] = 0.4866; bluered += 1;
bluered[] = 0.8076; bluered += 1;
bluered[] = 0.2985; bluered += 1;
bluered[] = 0.4966; bluered += 1;
bluered[] = 0.8133; bluered += 1;
bluered[] = 0.2951; bluered += 1;
bluered[] = 0.5065; bluered += 1;
bluered[] = 0.8187; bluered += 1;
bluered[] = 0.2918; bluered += 1;
bluered[] = 0.5165; bluered += 1;
bluered[] = 0.8238; bluered += 1;
bluered[] = 0.2885; bluered += 1;
bluered[] = 0.5264; bluered += 1;
bluered[] = 0.8286; bluered += 1;
bluered[] = 0.2853; bluered += 1;
bluered[] = 0.5363; bluered += 1;
bluered[] = 0.8332; bluered += 1;
bluered[] = 0.2822; bluered += 1;
bluered[] = 0.5462; bluered += 1;
bluered[] = 0.8375; bluered += 1;
bluered[] = 0.2793; bluered += 1;
bluered[] = 0.556; bluered += 1;
bluered[] = 0.8415; bluered += 1;
bluered[] = 0.2767; bluered += 1;
bluered[] = 0.5658; bluered += 1;
bluered[] = 0.8453; bluered += 1;
bluered[] = 0.2743; bluered += 1;
bluered[] = 0.5756; bluered += 1;
bluered[] = 0.8488; bluered += 1;
bluered[] = 0.2723; bluered += 1;
bluered[] = 0.5853; bluered += 1;
bluered[] = 0.8521; bluered += 1;
bluered[] = 0.2707; bluered += 1;
bluered[] = 0.595; bluered += 1;
bluered[] = 0.8552; bluered += 1;
bluered[] = 0.2696; bluered += 1;
bluered[] = 0.6046; bluered += 1;
bluered[] = 0.858; bluered += 1;
bluered[] = 0.2691; bluered += 1;
bluered[] = 0.6141; bluered += 1;
bluered[] = 0.8606; bluered += 1;
bluered[] = 0.2693; bluered += 1;
bluered[] = 0.6236; bluered += 1;
bluered[] = 0.8629; bluered += 1;
bluered[] = 0.2701; bluered += 1;
bluered[] = 0.6329; bluered += 1;
bluered[] = 0.8651; bluered += 1;
bluered[] = 0.2716; bluered += 1;
bluered[] = 0.6423; bluered += 1;
bluered[] = 0.867; bluered += 1;
bluered[] = 0.274; bluered += 1;
bluered[] = 0.6515; bluered += 1;
bluered[] = 0.8688; bluered += 1;
bluered[] = 0.2773; bluered += 1;
bluered[] = 0.6606; bluered += 1;
bluered[] = 0.8703; bluered += 1;
bluered[] = 0.2814; bluered += 1;
bluered[] = 0.6697; bluered += 1;
bluered[] = 0.8716; bluered += 1;
bluered[] = 0.2865; bluered += 1;
bluered[] = 0.6786; bluered += 1;
bluered[] = 0.8728; bluered += 1;
bluered[] = 0.2924; bluered += 1;
bluered[] = 0.6875; bluered += 1;
bluered[] = 0.8738; bluered += 1;
bluered[] = 0.2993; bluered += 1;
bluered[] = 0.6963; bluered += 1;
bluered[] = 0.8746; bluered += 1;
bluered[] = 0.3069; bluered += 1;
bluered[] = 0.7049; bluered += 1;
bluered[] = 0.8753; bluered += 1;
bluered[] = 0.3154; bluered += 1;
bluered[] = 0.7135; bluered += 1;
bluered[] = 0.8759; bluered += 1;
bluered[] = 0.3246; bluered += 1;
bluered[] = 0.7219; bluered += 1;
bluered[] = 0.8764; bluered += 1;
bluered[] = 0.3345; bluered += 1;
bluered[] = 0.7303; bluered += 1;
bluered[] = 0.8768; bluered += 1;
bluered[] = 0.3451; bluered += 1;
bluered[] = 0.7386; bluered += 1;
bluered[] = 0.8772; bluered += 1;
bluered[] = 0.3563; bluered += 1;
bluered[] = 0.7467; bluered += 1;
bluered[] = 0.8775; bluered += 1;
bluered[] = 0.368; bluered += 1;
bluered[] = 0.7548; bluered += 1;
bluered[] = 0.8778; bluered += 1;
bluered[] = 0.3802; bluered += 1;
bluered[] = 0.7627; bluered += 1;
bluered[] = 0.8782; bluered += 1;
bluered[] = 0.3929; bluered += 1;
bluered[] = 0.7706; bluered += 1;
bluered[] = 0.8785; bluered += 1;
bluered[] = 0.406; bluered += 1;
bluered[] = 0.7784; bluered += 1;
bluered[] = 0.8789; bluered += 1;
bluered[] = 0.4195; bluered += 1;
bluered[] = 0.786; bluered += 1;
bluered[] = 0.8793; bluered += 1;
bluered[] = 0.4334; bluered += 1;
bluered[] = 0.7936; bluered += 1;
bluered[] = 0.8798; bluered += 1;
bluered[] = 0.4476; bluered += 1;
bluered[] = 0.8011; bluered += 1;
bluered[] = 0.8803; bluered += 1;
bluered[] = 0.4621; bluered += 1;
bluered[] = 0.8084; bluered += 1;
bluered[] = 0.8809; bluered += 1;
bluered[] = 0.4769; bluered += 1;
bluered[] = 0.8157; bluered += 1;
bluered[] = 0.8817; bluered += 1;
bluered[] = 0.4919; bluered += 1;
bluered[] = 0.8229; bluered += 1;
bluered[] = 0.8825; bluered += 1;
bluered[] = 0.5072; bluered += 1;
bluered[] = 0.83; bluered += 1;
bluered[] = 0.8835; bluered += 1;
bluered[] = 0.5227; bluered += 1;
bluered[] = 0.837; bluered += 1;
bluered[] = 0.8846; bluered += 1;
bluered[] = 0.5384; bluered += 1;
bluered[] = 0.8439; bluered += 1;
bluered[] = 0.8859; bluered += 1;
bluered[] = 0.5543; bluered += 1;
bluered[] = 0.8507; bluered += 1;
bluered[] = 0.8874; bluered += 1;
bluered[] = 0.5704; bluered += 1;
bluered[] = 0.8574; bluered += 1;
bluered[] = 0.889; bluered += 1;
bluered[] = 0.5867; bluered += 1;
bluered[] = 0.864; bluered += 1;
bluered[] = 0.8908; bluered += 1;
bluered[] = 0.6032; bluered += 1;
bluered[] = 0.8705; bluered += 1;
bluered[] = 0.8928; bluered += 1;
bluered[] = 0.6197; bluered += 1;
bluered[] = 0.8769; bluered += 1;
bluered[] = 0.895; bluered += 1;
bluered[] = 0.6364; bluered += 1;
bluered[] = 0.8833; bluered += 1;
bluered[] = 0.8975; bluered += 1;
bluered[] = 0.6532; bluered += 1;
bluered[] = 0.8895; bluered += 1;
bluered[] = 0.9001; bluered += 1;
bluered[] = 0.67; bluered += 1;
bluered[] = 0.8955; bluered += 1;
bluered[] = 0.9029; bluered += 1;
bluered[] = 0.6868; bluered += 1;
bluered[] = 0.9015; bluered += 1;
bluered[] = 0.9058; bluered += 1;
bluered[] = 0.7036; bluered += 1;
bluered[] = 0.9073; bluered += 1;
bluered[] = 0.909; bluered += 1;
bluered[] = 0.7204; bluered += 1;
bluered[] = 0.9129; bluered += 1;
bluered[] = 0.9122; bluered += 1;
bluered[] = 0.737; bluered += 1;
bluered[] = 0.9184; bluered += 1;
bluered[] = 0.9156; bluered += 1;
bluered[] = 0.7536; bluered += 1;
bluered[] = 0.9236; bluered += 1;
bluered[] = 0.9191; bluered += 1;
bluered[] = 0.7699; bluered += 1;
bluered[] = 0.9287; bluered += 1;
bluered[] = 0.9226; bluered += 1;
bluered[] = 0.7861; bluered += 1;
bluered[] = 0.9335; bluered += 1;
bluered[] = 0.9263; bluered += 1;
bluered[] = 0.8021; bluered += 1;
bluered[] = 0.9382; bluered += 1;
bluered[] = 0.93; bluered += 1;
bluered[] = 0.8178; bluered += 1;
bluered[] = 0.9425; bluered += 1;
bluered[] = 0.9338; bluered += 1;
bluered[] = 0.8332; bluered += 1;
bluered[] = 0.9467; bluered += 1;
bluered[] = 0.9375; bluered += 1;
bluered[] = 0.8483; bluered += 1;
bluered[] = 0.9505; bluered += 1;
bluered[] = 0.9413; bluered += 1;
bluered[] = 0.8631; bluered += 1;
bluered[] = 0.9541; bluered += 1;
bluered[] = 0.9451; bluered += 1;
bluered[] = 0.8775; bluered += 1;
bluered[] = 0.9574; bluered += 1;
bluered[] = 0.9488; bluered += 1;
bluered[] = 0.8914; bluered += 1;
bluered[] = 0.9604; bluered += 1;
bluered[] = 0.9524; bluered += 1;
bluered[] = 0.9049; bluered += 1;
bluered[] = 0.9631; bluered += 1;
bluered[] = 0.956; bluered += 1;
bluered[] = 0.9179; bluered += 1;
bluered[] = 0.9654; bluered += 1;
bluered[] = 0.9594; bluered += 1;
bluered[] = 0.9304; bluered += 1;
bluered[] = 0.9675; bluered += 1;
bluered[] = 0.9627; bluered += 1;
bluered[] = 0.9423; bluered += 1;
bluered[] = 0.9691; bluered += 1;
bluered[] = 0.9658; bluered += 1;
bluered[] = 0.9535; bluered += 1;
bluered[] = 0.9705; bluered += 1;
bluered[] = 0.9687; bluered += 1;
bluered[] = 0.964; bluered += 1;
bluered[] = 0.9715; bluered += 1;
bluered[] = 0.9713; bluered += 1;
bluered[] = 0.9732; bluered += 1;
bluered[] = 0.9721; bluered += 1;
bluered[] = 0.9731; bluered += 1;
bluered[] = 0.977; bluered += 1;
bluered[] = 0.9709; bluered += 1;
bluered[] = 0.9699; bluered += 1;
bluered[] = 0.9751; bluered += 1;
bluered[] = 0.9681; bluered += 1;
bluered[] = 0.9618; bluered += 1;
bluered[] = 0.9718; bluered += 1;
bluered[] = 0.9652; bluered += 1;
bluered[] = 0.9514; bluered += 1;
bluered[] = 0.9685; bluered += 1;
bluered[] = 0.9618; bluered += 1;
bluered[] = 0.9388; bluered += 1;
bluered[] = 0.9654; bluered += 1;
bluered[] = 0.9579; bluered += 1;
bluered[] = 0.9248; bluered += 1;
bluered[] = 0.9622; bluered += 1;
bluered[] = 0.9535; bluered += 1;
bluered[] = 0.91; bluered += 1;
bluered[] = 0.9589; bluered += 1;
bluered[] = 0.9487; bluered += 1;
bluered[] = 0.8945; bluered += 1;
bluered[] = 0.9554; bluered += 1;
bluered[] = 0.9436; bluered += 1;
bluered[] = 0.8785; bluered += 1;
bluered[] = 0.9517; bluered += 1;
bluered[] = 0.9382; bluered += 1;
bluered[] = 0.862; bluered += 1;
bluered[] = 0.9477; bluered += 1;
bluered[] = 0.9324; bluered += 1;
bluered[] = 0.8452; bluered += 1;
bluered[] = 0.9436; bluered += 1;
bluered[] = 0.9263; bluered += 1;
bluered[] = 0.828; bluered += 1;
bluered[] = 0.9394; bluered += 1;
bluered[] = 0.92; bluered += 1;
bluered[] = 0.8104; bluered += 1;
bluered[] = 0.935; bluered += 1;
bluered[] = 0.9133; bluered += 1;
bluered[] = 0.7926; bluered += 1;
bluered[] = 0.9305; bluered += 1;
bluered[] = 0.9065; bluered += 1;
bluered[] = 0.7745; bluered += 1;
bluered[] = 0.926; bluered += 1;
bluered[] = 0.8993; bluered += 1;
bluered[] = 0.7563; bluered += 1;
bluered[] = 0.9214; bluered += 1;
bluered[] = 0.8919; bluered += 1;
bluered[] = 0.7378; bluered += 1;
bluered[] = 0.9169; bluered += 1;
bluered[] = 0.8843; bluered += 1;
bluered[] = 0.7193; bluered += 1;
bluered[] = 0.9124; bluered += 1;
bluered[] = 0.8765; bluered += 1;
bluered[] = 0.7006; bluered += 1;
bluered[] = 0.9079; bluered += 1;
bluered[] = 0.8685; bluered += 1;
bluered[] = 0.6818; bluered += 1;
bluered[] = 0.9036; bluered += 1;
bluered[] = 0.8602; bluered += 1;
bluered[] = 0.6629; bluered += 1;
bluered[] = 0.8995; bluered += 1;
bluered[] = 0.8518; bluered += 1;
bluered[] = 0.6441; bluered += 1;
bluered[] = 0.8955; bluered += 1;
bluered[] = 0.8432; bluered += 1;
bluered[] = 0.6252; bluered += 1;
bluered[] = 0.8917; bluered += 1;
bluered[] = 0.8344; bluered += 1;
bluered[] = 0.6063; bluered += 1;
bluered[] = 0.8881; bluered += 1;
bluered[] = 0.8254; bluered += 1;
bluered[] = 0.5874; bluered += 1;
bluered[] = 0.8849; bluered += 1;
bluered[] = 0.8163; bluered += 1;
bluered[] = 0.5686; bluered += 1;
bluered[] = 0.8819; bluered += 1;
bluered[] = 0.807; bluered += 1;
bluered[] = 0.5499; bluered += 1;
bluered[] = 0.8792; bluered += 1;
bluered[] = 0.7976; bluered += 1;
bluered[] = 0.5312; bluered += 1;
bluered[] = 0.8769; bluered += 1;
bluered[] = 0.788; bluered += 1;
bluered[] = 0.5126; bluered += 1;
bluered[] = 0.8748; bluered += 1;
bluered[] = 0.7782; bluered += 1;
bluered[] = 0.4941; bluered += 1;
bluered[] = 0.873; bluered += 1;
bluered[] = 0.7683; bluered += 1;
bluered[] = 0.4758; bluered += 1;
bluered[] = 0.8714; bluered += 1;
bluered[] = 0.7583; bluered += 1;
bluered[] = 0.4576; bluered += 1;
bluered[] = 0.8699; bluered += 1;
bluered[] = 0.7481; bluered += 1;
bluered[] = 0.4396; bluered += 1;
bluered[] = 0.8687; bluered += 1;
bluered[] = 0.7378; bluered += 1;
bluered[] = 0.4218; bluered += 1;
bluered[] = 0.8676; bluered += 1;
bluered[] = 0.7274; bluered += 1;
bluered[] = 0.4042; bluered += 1;
bluered[] = 0.8666; bluered += 1;
bluered[] = 0.7168; bluered += 1;
bluered[] = 0.3868; bluered += 1;
bluered[] = 0.8657; bluered += 1;
bluered[] = 0.7062; bluered += 1;
bluered[] = 0.3697; bluered += 1;
bluered[] = 0.8649; bluered += 1;
bluered[] = 0.6955; bluered += 1;
bluered[] = 0.3528; bluered += 1;
bluered[] = 0.8641; bluered += 1;
bluered[] = 0.6846; bluered += 1;
bluered[] = 0.3362; bluered += 1;
bluered[] = 0.8633; bluered += 1;
bluered[] = 0.6737; bluered += 1;
bluered[] = 0.3198; bluered += 1;
bluered[] = 0.8625; bluered += 1;
bluered[] = 0.6627; bluered += 1;
bluered[] = 0.3038; bluered += 1;
bluered[] = 0.8617; bluered += 1;
bluered[] = 0.6516; bluered += 1;
bluered[] = 0.2881; bluered += 1;
bluered[] = 0.8608; bluered += 1;
bluered[] = 0.6404; bluered += 1;
bluered[] = 0.2728; bluered += 1;
bluered[] = 0.8599; bluered += 1;
bluered[] = 0.6292; bluered += 1;
bluered[] = 0.2579; bluered += 1;
bluered[] = 0.8588; bluered += 1;
bluered[] = 0.6179; bluered += 1;
bluered[] = 0.2433; bluered += 1;
bluered[] = 0.8577; bluered += 1;
bluered[] = 0.6066; bluered += 1;
bluered[] = 0.2291; bluered += 1;
bluered[] = 0.8564; bluered += 1;
bluered[] = 0.5953; bluered += 1;
bluered[] = 0.2154; bluered += 1;
bluered[] = 0.855; bluered += 1;
bluered[] = 0.584; bluered += 1;
bluered[] = 0.2022; bluered += 1;
bluered[] = 0.8534; bluered += 1;
bluered[] = 0.5726; bluered += 1;
bluered[] = 0.1895; bluered += 1;
bluered[] = 0.8516; bluered += 1;
bluered[] = 0.5612; bluered += 1;
bluered[] = 0.1774; bluered += 1;
bluered[] = 0.8497; bluered += 1;
bluered[] = 0.5499; bluered += 1;
bluered[] = 0.1659; bluered += 1;
bluered[] = 0.8475; bluered += 1;
bluered[] = 0.5385; bluered += 1;
bluered[] = 0.155; bluered += 1;
bluered[] = 0.8451; bluered += 1;
bluered[] = 0.5272; bluered += 1;
bluered[] = 0.1449; bluered += 1;
bluered[] = 0.8426; bluered += 1;
bluered[] = 0.5159; bluered += 1;
bluered[] = 0.1356; bluered += 1;
bluered[] = 0.8397; bluered += 1;
bluered[] = 0.5047; bluered += 1;
bluered[] = 0.1271; bluered += 1;
bluered[] = 0.8367; bluered += 1;
bluered[] = 0.4935; bluered += 1;
bluered[] = 0.1194; bluered += 1;
bluered[] = 0.8334; bluered += 1;
bluered[] = 0.4823; bluered += 1;
bluered[] = 0.1127; bluered += 1;
bluered[] = 0.8299; bluered += 1;
bluered[] = 0.4713; bluered += 1;
bluered[] = 0.1068; bluered += 1;
bluered[] = 0.8262; bluered += 1;
bluered[] = 0.4602; bluered += 1;
bluered[] = 0.1019; bluered += 1;
bluered[] = 0.8223; bluered += 1;
bluered[] = 0.4493; bluered += 1;
bluered[] = 0.098; bluered += 1;
bluered[] = 0.8181; bluered += 1;
bluered[] = 0.4384; bluered += 1;
bluered[] = 0.0949; bluered += 1;
bluered[] = 0.8136; bluered += 1;
bluered[] = 0.4276; bluered += 1;
bluered[] = 0.0928; bluered += 1;
bluered[] = 0.809; bluered += 1;
bluered[] = 0.417; bluered += 1;
bluered[] = 0.0916; bluered += 1;
bluered[] = 0.8041; bluered += 1;
bluered[] = 0.4064; bluered += 1;
bluered[] = 0.0911; bluered += 1;
bluered[] = 0.7989; bluered += 1;
bluered[] = 0.3959; bluered += 1;
bluered[] = 0.0915; bluered += 1;
bluered[] = 0.7935; bluered += 1;
bluered[] = 0.3855; bluered += 1;
bluered[] = 0.0925; bluered += 1;
bluered[] = 0.7879; bluered += 1;
bluered[] = 0.3753; bluered += 1;
bluered[] = 0.0941; bluered += 1;
bluered[] = 0.7821; bluered += 1;
bluered[] = 0.3651; bluered += 1;
bluered[] = 0.0962; bluered += 1;
bluered[] = 0.776; bluered += 1;
bluered[] = 0.3551; bluered += 1;
bluered[] = 0.0988; bluered += 1;
bluered[] = 0.7697; bluered += 1;
bluered[] = 0.3453; bluered += 1;
bluered[] = 0.1017; bluered += 1;
bluered[] = 0.7631; bluered += 1;
bluered[] = 0.3356; bluered += 1;
bluered[] = 0.1049; bluered += 1;
bluered[] = 0.7564; bluered += 1;
bluered[] = 0.326; bluered += 1;
bluered[] = 0.1084; bluered += 1;
bluered[] = 0.7493; bluered += 1;
bluered[] = 0.3166; bluered += 1;
bluered[] = 0.1121; bluered += 1;
bluered[] = 0.7421; bluered += 1;
bluered[] = 0.3074; bluered += 1;
bluered[] = 0.1159; bluered += 1;
bluered[] = 0.7346; bluered += 1;
bluered[] = 0.2984; bluered += 1;
bluered[] = 0.1199; bluered += 1;
bluered[] = 0.7269; bluered += 1;
bluered[] = 0.2895; bluered += 1;
bluered[] = 0.1239; bluered += 1;
bluered[] = 0.7189; bluered += 1;
bluered[] = 0.2809; bluered += 1;
bluered[] = 0.128; bluered += 1;
bluered[] = 0.7107; bluered += 1;
bluered[] = 0.2724; bluered += 1;
bluered[] = 0.1321; bluered += 1;
bluered[] = 0.7023; bluered += 1;
bluered[] = 0.2642; bluered += 1;
bluered[] = 0.1363; bluered += 1;
bluered[] = 0.6936; bluered += 1;
bluered[] = 0.2562; bluered += 1;
bluered[] = 0.1404; bluered += 1;
bluered[] = 0.6848; bluered += 1;
bluered[] = 0.2484; bluered += 1;
bluered[] = 0.1446; bluered += 1;
bluered[] = 0.6757; bluered += 1;
bluered[] = 0.2409; bluered += 1;
bluered[] = 0.1487; bluered += 1;
bluered[] = 0.6665; bluered += 1;
bluered[] = 0.2335; bluered += 1;
bluered[] = 0.1527; bluered += 1;
bluered[] = 0.657; bluered += 1;
bluered[] = 0.2264; bluered += 1;
bluered[] = 0.1567; bluered += 1;
bluered[] = 0.6474; bluered += 1;
bluered[] = 0.2194; bluered += 1;
bluered[] = 0.1606; bluered += 1;
bluered[] = 0.6376; bluered += 1;
bluered[] = 0.2127; bluered += 1;
bluered[] = 0.1644; bluered += 1;
bluered[] = 0.6277; bluered += 1;
bluered[] = 0.2061; bluered += 1;
bluered[] = 0.1681; bluered += 1;
bluered[] = 0.6176; bluered += 1;
bluered[] = 0.1997; bluered += 1;
bluered[] = 0.1717; bluered += 1;
bluered[] = 0.6073; bluered += 1;
bluered[] = 0.1935; bluered += 1;
bluered[] = 0.1751; bluered += 1;
bluered[] = 0.5969; bluered += 1;
bluered[] = 0.1875; bluered += 1;
bluered[] = 0.1785; bluered += 1;
bluered[] = 0.5864; bluered += 1;
bluered[] = 0.1817; bluered += 1;
bluered[] = 0.1816; bluered += 1;
bluered[] = 0.5758; bluered += 1;
bluered[] = 0.176; bluered += 1;
bluered[] = 0.1847; bluered += 1;
bluered[] = 0.5651; bluered += 1;
bluered[] = 0.1704; bluered += 1;
bluered[] = 0.1875; bluered += 1;
bluered[] = 0.5542; bluered += 1;
bluered[] = 0.1651; bluered += 1;
bluered[] = 0.1902; bluered += 1;
bluered[] = 0.5433; bluered += 1;
bluered[] = 0.1598; bluered += 1;
bluered[] = 0.1928; bluered += 1;
bluered[] = 0.5322; bluered += 1;
bluered[] = 0.1547; bluered += 1;
bluered[] = 0.1951; bluered += 1;
bluered[] = 0.5211; bluered += 1;
bluered[] = 0.1497; bluered += 1;
bluered[] = 0.1972; bluered += 1;
bluered[] = 0.5098; bluered += 1;
bluered[] = 0.1449; bluered += 1;
bluered[] = 0.1991; bluered += 1;
bluered[] = 0.4985; bluered += 1;
bluered[] = 0.1401; bluered += 1;
bluered[] = 0.2008; bluered += 1;
bluered[] = 0.4872; bluered += 1;
bluered[] = 0.1355; bluered += 1;
bluered[] = 0.2023; bluered += 1;
bluered[] = 0.4757; bluered += 1;
bluered[] = 0.131; bluered += 1;
bluered[] = 0.2036; bluered += 1;
bluered[] = 0.4642; bluered += 1;
bluered[] = 0.1265; bluered += 1;
bluered[] = 0.2046; bluered += 1;
bluered[] = 0.4527; bluered += 1;
bluered[] = 0.1222; bluered += 1;
bluered[] = 0.2053; bluered += 1;
bluered[] = 0.441; bluered += 1;
bluered[] = 0.1179; bluered += 1;
bluered[] = 0.2058; bluered += 1;
bluered[] = 0.4294; bluered += 1;
bluered[] = 0.1137; bluered += 1;
bluered[] = 0.2061; bluered += 1;
bluered[] = 0.4177; bluered += 1;
bluered[] = 0.1095; bluered += 1;
bluered[] = 0.2061; bluered += 1;
bluered[] = 0.4059; bluered += 1;
bluered[] = 0.1054; bluered += 1;
bluered[] = 0.2058; bluered += 1;
bluered[] = 0.3941; bluered += 1;
bluered[] = 0.1013; bluered += 1;
bluered[] = 0.2053; bluered += 1;
bluered[] = 0.3823; bluered += 1;
bluered[] = 0.0973; bluered += 1;
bluered[] = 0.2046; bluered += 1;
bluered[] = 0.3704; bluered += 1;
bluered[] = 0.0932; bluered += 1;
bluered[] = 0.2036; bluered += 1;
bluered[] = 0.3586; bluered += 1;
bluered[] = 0.0892; bluered += 1;
bluered[] = 0.2024; bluered += 1;
bluered[] = 0.3467; bluered += 1;
bluered[] = 0.0851; bluered += 1;
bluered[] = 0.201; bluered += 1;
bluered[] = 0.3348; bluered += 1;
bluered[] = 0.081; bluered += 1;
bluered[] = 0.1993; bluered += 1;
bluered[] = 0.3229; bluered += 1;
bluered[] = 0.0768; bluered += 1;
bluered[] = 0.1975; bluered += 1;
bluered[] = 0.311; bluered += 1;
bluered[] = 0.0726; bluered += 1;
bluered[] = 0.1954; bluered += 1;
bluered[] = 0.2991; bluered += 1;
bluered[] = 0.0683; bluered += 1;
bluered[] = 0.1931; bluered += 1;
bluered[] = 0.2872; bluered += 1;
bluered[] = 0.0639; bluered += 1;
bluered[] = 0.1906; bluered += 1;
bluered[] = 0.2753; bluered += 1;
bluered[] = 0.0594; bluered += 1;
bluered[] = 0.1879; bluered += 1;
bluered[] = 0.2635; bluered += 1;
bluered[] = 0.0548; bluered += 1;
bluered[] = 0.185; bluered += 1;
bluered[] = 0.2516; bluered += 1;
bluered[] = 0.05; bluered += 1;
bluered[] = 0.1819; bluered += 1;
bluered[] = 0.2398; bluered += 1;
bluered[] = 0.045; bluered += 1;
bluered[] = 0.1786; bluered += 1;
bluered[] = 0.228; bluered += 1;
bluered[] = 0.0397; bluered += 1;
bluered[] = 0.1751; bluered += 1;
bluered[] = 0.2162; bluered += 1;
bluered[] = 0.0344; bluered += 1;
bluered[] = 0.1714; bluered += 1;
bluered[] = 0.2045; bluered += 1;
bluered[] = 0.0293; bluered += 1;
bluered[] = 0.1676; bluered += 1;
bluered[] = 0.1928; bluered += 1;
bluered[] = 0.0243; bluered += 1;
bluered[] = 0.1635; bluered += 1;
bluered[] = 0.1811; bluered += 1;
bluered[] = 0.0195; bluered += 1;
bluered[] = 0.1594; bluered += 1;
bluered[] = 0.1695; bluered += 1;
bluered[] = 0.0149; bluered += 1;
bluered[] = 0.1551; bluered += 1;
bluered[] = 0.1579; bluered += 1;
bluered[] = 0.0105; bluered += 1;
bluered[] = 0.1506; bluered += 1;
bluered[] = 0.1463; bluered += 1;
bluered[] = 0.0064; bluered += 1;
bluered[] = 0.1461; bluered += 1;

magma = 1000;
viridis = 2000;
inferno = 3000;
plasma = 4000;
turbo = 5000;
bluered = 6000;