corr_elements = 175 
corr_angle[0] = 0.100000 
corr_angle[1] = 1.001000 
corr_angle[2] = 1.902000 
corr_angle[3] = 2.798000 
corr_angle[4] = 7.305000 
corr_angle[5] = 8.204000 
corr_angle[6] = 9.104000 
corr_angle[7] = 10.005000 
corr_angle[8] = 14.504000 
corr_angle[9] = 15.404000 
corr_angle[10] = 16.304000 
corr_angle[11] = 17.204000 
corr_angle[12] = 21.704000 
corr_angle[13] = 22.604000 
corr_angle[14] = 23.504000 
corr_angle[15] = 24.404000 
corr_angle[16] = 28.904000 
corr_angle[17] = 29.804000 
corr_angle[18] = 30.704000 
corr_angle[19] = 31.604000 
corr_angle[20] = 36.104000 
corr_angle[21] = 37.004000 
corr_angle[22] = 37.904000 
corr_angle[23] = 38.804000 
corr_angle[24] = 43.305000 
corr_angle[25] = 44.205000 
corr_angle[26] = 45.104000 
corr_angle[27] = 46.005000 
corr_angle[28] = 50.504000 
corr_angle[29] = 51.404000 
corr_angle[30] = 52.305000 
corr_angle[31] = 53.205000 
corr_angle[32] = 57.705000 
corr_angle[33] = 58.605000 
corr_angle[34] = 59.505000 
corr_angle[35] = 60.405000 
corr_angle[36] = 64.904000 
corr_angle[37] = 65.804000 
corr_angle[38] = 66.704000 
corr_angle[39] = 67.604000 
corr_angle[40] = 72.104000 
corr_angle[41] = 73.004000 
corr_angle[42] = 73.904000 
corr_angle[43] = 74.804000 
corr_angle[44] = 79.304000 
corr_angle[45] = 80.204000 
corr_angle[46] = 81.104000 
corr_angle[47] = 82.005000 
corr_angle[48] = 86.505000 
corr_angle[49] = 87.404000 
corr_angle[50] = 88.304000 
corr_angle[51] = 89.205000 
corr_angle[52] = 93.704000 
corr_angle[53] = 94.604000 
corr_angle[54] = 95.505000 
corr_angle[55] = 96.404000 
corr_angle[56] = 100.904000 
corr_angle[57] = 101.804000 
corr_angle[58] = 102.704000 
corr_angle[59] = 103.604000 
corr_angle[60] = 108.104000 
corr_angle[61] = 109.004000 
corr_angle[62] = 109.904000 
corr_angle[63] = 110.804000 
corr_angle[64] = 115.304000 
corr_angle[65] = 116.204000 
corr_angle[66] = 117.104000 
corr_angle[67] = 118.004000 
corr_angle[68] = 122.504000 
corr_angle[69] = 123.404000 
corr_angle[70] = 124.304000 
corr_angle[71] = 125.204000 
corr_angle[72] = 129.704000 
corr_angle[73] = 130.604000 
corr_angle[74] = 131.504000 
corr_angle[75] = 132.404000 
corr_angle[76] = 136.904000 
corr_angle[77] = 137.804000 
corr_angle[78] = 138.701000 
corr_angle[79] = 139.604000 
corr_angle[80] = 144.104000 
corr_angle[81] = 145.004000 
corr_angle[82] = 145.904000 
corr_angle[83] = 146.804000 
corr_angle[84] = 151.304000 
corr_angle[85] = 152.204000 
corr_angle[86] = 153.104000 
corr_angle[87] = 154.004000 
corr_angle[88] = 158.504000 
corr_angle[89] = 159.404000 
corr_angle[90] = 160.304000 
corr_angle[91] = 161.204000 
corr_angle[92] = 165.704000 
corr_angle[93] = 166.604000 
corr_angle[94] = 167.504000 
corr_angle[95] = 168.404000 
corr_angle[96] = 172.904000 
corr_angle[97] = 173.805000 
corr_angle[98] = 174.704000 
corr_angle[99] = 180.104000 
corr_angle[100] = 183.704000 
corr_angle[101] = 184.603000 
corr_angle[102] = 185.504000 
corr_angle[103] = 190.904000 
corr_angle[104] = 191.805000 
corr_angle[105] = 192.704000 
corr_angle[106] = 198.104000 
corr_angle[107] = 199.004000 
corr_angle[108] = 199.904000 
corr_angle[109] = 205.304000 
corr_angle[110] = 206.204000 
corr_angle[111] = 207.104000 
corr_angle[112] = 212.504000 
corr_angle[113] = 213.404000 
corr_angle[114] = 214.304000 
corr_angle[115] = 219.704000 
corr_angle[116] = 220.604000 
corr_angle[117] = 221.504000 
corr_angle[118] = 226.904000 
corr_angle[119] = 227.804000 
corr_angle[120] = 228.704000 
corr_angle[121] = 234.104000 
corr_angle[122] = 235.004000 
corr_angle[123] = 235.904000 
corr_angle[124] = 241.304000 
corr_angle[125] = 242.204000 
corr_angle[126] = 243.104000 
corr_angle[127] = 248.504000 
corr_angle[128] = 249.404000 
corr_angle[129] = 250.304000 
corr_angle[130] = 255.704000 
corr_angle[131] = 256.604000 
corr_angle[132] = 257.504000 
corr_angle[133] = 262.904000 
corr_angle[134] = 263.804000 
corr_angle[135] = 264.704000 
corr_angle[136] = 270.104000 
corr_angle[137] = 271.004000 
corr_angle[138] = 271.904000 
corr_angle[139] = 277.304000 
corr_angle[140] = 278.205000 
corr_angle[141] = 279.104000 
corr_angle[142] = 284.504000 
corr_angle[143] = 285.405000 
corr_angle[144] = 286.304000 
corr_angle[145] = 291.703000 
corr_angle[146] = 292.604000 
corr_angle[147] = 293.504000 
corr_angle[148] = 298.904000 
corr_angle[149] = 299.804000 
corr_angle[150] = 300.704000 
corr_angle[151] = 306.104000 
corr_angle[152] = 307.004000 
corr_angle[153] = 307.904000 
corr_angle[154] = 313.304000 
corr_angle[155] = 314.204000 
corr_angle[156] = 315.104000 
corr_angle[157] = 320.504000 
corr_angle[158] = 321.404000 
corr_angle[159] = 322.304000 
corr_angle[160] = 327.704000 
corr_angle[161] = 328.605000 
corr_angle[162] = 329.504000 
corr_angle[163] = 334.904000 
corr_angle[164] = 335.804000 
corr_angle[165] = 336.705000 
corr_angle[166] = 342.104000 
corr_angle[167] = 343.004000 
corr_angle[168] = 343.904000 
corr_angle[169] = 349.304000 
corr_angle[170] = 350.204000 
corr_angle[171] = 351.104000 
corr_angle[172] = 356.504000 
corr_angle[173] = 357.404000 
corr_angle[174] = 358.304000 
corr_pos[0] = 0.012330 
corr_pos[1] = 0.024870 
corr_pos[2] = 0.037262 
corr_pos[3] = 0.049438 
corr_pos[4] = 0.108462 
corr_pos[5] = 0.119791 
corr_pos[6] = 0.130986 
corr_pos[7] = 0.142044 
corr_pos[8] = 0.195045 
corr_pos[9] = 0.205834 
corr_pos[10] = 0.216589 
corr_pos[11] = 0.226402 
corr_pos[12] = 0.271931 
corr_pos[13] = 0.281684 
corr_pos[14] = 0.290769 
corr_pos[15] = 0.299392 
corr_pos[16] = 0.337986 
corr_pos[17] = 0.345178 
corr_pos[18] = 0.352253 
corr_pos[19] = 0.358528 
corr_pos[20] = 0.379520 
corr_pos[21] = 0.382947 
corr_pos[22] = 0.386110 
corr_pos[23] = 0.388887 
corr_pos[24] = 0.395645 
corr_pos[25] = 0.396154 
corr_pos[26] = 0.396679 
corr_pos[27] = 0.396367 
corr_pos[28] = 0.392400 
corr_pos[29] = 0.392530 
corr_pos[30] = 0.391826 
corr_pos[31] = 0.391325 
corr_pos[32] = 0.379188 
corr_pos[33] = 0.376449 
corr_pos[34] = 0.373195 
corr_pos[35] = 0.369588 
corr_pos[36] = 0.343021 
corr_pos[37] = 0.336754 
corr_pos[38] = 0.330310 
corr_pos[39] = 0.323447 
corr_pos[40] = 0.281171 
corr_pos[41] = 0.272735 
corr_pos[42] = 0.263888 
corr_pos[43] = 0.254469 
corr_pos[44] = 0.203024 
corr_pos[45] = 0.192980 
corr_pos[46] = 0.182359 
corr_pos[47] = 0.170780 
corr_pos[48] = 0.111580 
corr_pos[49] = 0.101222 
corr_pos[50] = 0.090051 
corr_pos[51] = 0.077918 
corr_pos[52] = 0.015225 
corr_pos[53] = 0.003876 
corr_pos[54] = -0.007756 
corr_pos[55] = -0.020383 
corr_pos[56] = -0.084910 
corr_pos[57] = -0.096848 
corr_pos[58] = -0.108732 
corr_pos[59] = -0.121432 
corr_pos[60] = -0.184349 
corr_pos[61] = -0.195904 
corr_pos[62] = -0.207113 
corr_pos[63] = -0.219319 
corr_pos[64] = -0.274799 
corr_pos[65] = -0.284942 
corr_pos[66] = -0.294809 
corr_pos[67] = -0.305437 
corr_pos[68] = -0.352114 
corr_pos[69] = -0.359689 
corr_pos[70] = -0.367451 
corr_pos[71] = -0.375629 
corr_pos[72] = -0.404347 
corr_pos[73] = -0.407683 
corr_pos[74] = -0.410857 
corr_pos[75] = -0.414904 
corr_pos[76] = -0.424625 
corr_pos[77] = -0.424357 
corr_pos[78] = -0.424411 
corr_pos[79] = -0.424615 
corr_pos[80] = -0.421392 
corr_pos[81] = -0.419977 
corr_pos[82] = -0.417860 
corr_pos[83] = -0.416400 
corr_pos[84] = -0.398108 
corr_pos[85] = -0.392613 
corr_pos[86] = -0.386455 
corr_pos[87] = -0.380338 
corr_pos[88] = -0.341288 
corr_pos[89] = -0.332298 
corr_pos[90] = -0.322767 
corr_pos[91] = -0.311630 
corr_pos[92] = -0.256798 
corr_pos[93] = -0.244808 
corr_pos[94] = -0.232932 
corr_pos[95] = -0.219785 
corr_pos[96] = -0.158685 
corr_pos[97] = -0.146198 
corr_pos[98] = -0.130743 
corr_pos[99] = -0.054066 
corr_pos[100] = -0.001498 
corr_pos[101] = 0.012010 
corr_pos[102] = 0.025195 
corr_pos[103] = 0.094982 
corr_pos[104] = 0.109235 
corr_pos[105] = 0.120813 
corr_pos[106] = 0.179893 
corr_pos[107] = 0.192147 
corr_pos[108] = 0.201902 
corr_pos[109] = 0.245092 
corr_pos[110] = 0.250501 
corr_pos[111] = 0.255536 
corr_pos[112] = 0.280598 
corr_pos[113] = 0.280673 
corr_pos[114] = 0.282529 
corr_pos[115] = 0.293286 
corr_pos[116] = 0.292713 
corr_pos[117] = 0.291123 
corr_pos[118] = 0.288721 
corr_pos[119] = 0.288260 
corr_pos[120] = 0.286480 
corr_pos[121] = 0.271630 
corr_pos[122] = 0.268004 
corr_pos[123] = 0.265418 
corr_pos[124] = 0.239187 
corr_pos[125] = 0.233224 
corr_pos[126] = 0.226652 
corr_pos[127] = 0.189034 
corr_pos[128] = 0.180302 
corr_pos[129] = 0.170931 
corr_pos[130] = 0.125760 
corr_pos[131] = 0.116433 
corr_pos[132] = 0.106845 
corr_pos[133] = 0.057551 
corr_pos[134] = 0.048531 
corr_pos[135] = 0.038276 
corr_pos[136] = -0.012292 
corr_pos[137] = -0.021223 
corr_pos[138] = -0.030046 
corr_pos[139] = -0.077647 
corr_pos[140] = -0.085863 
corr_pos[141] = -0.093816 
corr_pos[142] = -0.138532 
corr_pos[143] = -0.145584 
corr_pos[144] = -0.152699 
corr_pos[145] = -0.192594 
corr_pos[146] = -0.200980 
corr_pos[147] = -0.208816 
corr_pos[148] = -0.241983 
corr_pos[149] = -0.248319 
corr_pos[150] = -0.253789 
corr_pos[151] = -0.276869 
corr_pos[152] = -0.279240 
corr_pos[153] = -0.281538 
corr_pos[154] = -0.294317 
corr_pos[155] = -0.295586 
corr_pos[156] = -0.296029 
corr_pos[157] = -0.297443 
corr_pos[158] = -0.297185 
corr_pos[159] = -0.295946 
corr_pos[160] = -0.284463 
corr_pos[161] = -0.282598 
corr_pos[162] = -0.281260 
corr_pos[163] = -0.256509 
corr_pos[164] = -0.250326 
corr_pos[165] = -0.244372 
corr_pos[166] = -0.204043 
corr_pos[167] = -0.196147 
corr_pos[168] = -0.187928 
corr_pos[169] = -0.131831 
corr_pos[170] = -0.121351 
corr_pos[171] = -0.110548 
corr_pos[172] = -0.038951 
corr_pos[173] = -0.025887 
corr_pos[174] = -0.012501 
