Brocot Tree : Continued Fraction and decimal

Prints fractions downwards, shows decimal representation and continued fraction representation.

1025 Fractions : Depth 10, (2¹⁰ + 1)
([0,1] [0.000000] 0; )
([1,11] [0.090909] 0; 11, )
([1,10] [0.100000] 0; 10, )
([2,19] [0.105263] 0; 9, 2, )
([1,9] [0.111111] 0; 9, )
([3,26] [0.115385] 0; 8, 1, 2, )
([2,17] [0.117647] 0; 8, 2, )
([3,25] [0.120000] 0; 8, 3, )
([1,8] [0.125000] 0; 8, )
([4,31] [0.129032] 0; 7, 1, 3, )
([3,23] [0.130435] 0; 7, 1, 2, )
([5,38] [0.131579] 0; 7, 1, 1, 2, )
([2,15] [0.133333] 0; 7, 2, )
([5,37] [0.135135] 0; 7, 2, 2, )
([3,22] [0.136364] 0; 7, 3, )
([4,29] [0.137931] 0; 7, 4, )
([1,7] [0.142857] 0; 7, )
([5,34] [0.147059] 0; 6, 1, 4, )
([4,27] [0.148148] 0; 6, 1, 3, )
([7,47] [0.148936] 0; 6, 1, 2, 2, )
([3,20] [0.150000] 0; 6, 1, 2, )
([8,53] [0.150943] 0; 6, 1, 1, 1, 2, )
([5,33] [0.151515] 0; 6, 1, 1, 2, )
([7,46] [0.152174] 0; 6, 1, 1, 3, )
([2,13] [0.153846] 0; 6, 2, )
([7,45] [0.155556] 0; 6, 2, 3, )
([5,32] [0.156250] 0; 6, 2, 2, )
([8,51] [0.156863] 0; 6, 2, 1, 2, )
([3,19] [0.157895] 0; 6, 3, )
([7,44] [0.159091] 0; 6, 3, 2, )
([4,25] [0.160000] 0; 6, 4, )
([5,31] [0.161290] 0; 6, 5, )
([1,6] [0.166667] 0; 6, )
([6,35] [0.171429] 0; 5, 1, 5, )
([5,29] [0.172414] 0; 5, 1, 4, )
([9,52] [0.173077] 0; 5, 1, 3, 2, )
([4,23] [0.173913] 0; 5, 1, 3, )
([11,63] [0.174603] 0; 5, 1, 2, 1, 2, )
([7,40] [0.175000] 0; 5, 1, 2, 2, )
([10,57] [0.175439] 0; 5, 1, 2, 3, )
([3,17] [0.176471] 0; 5, 1, 2, )
([11,62] [0.177419] 0; 5, 1, 1, 1, 3, )
([8,45] [0.177778] 0; 5, 1, 1, 1, 2, )
([13,73] [0.178082] 0; 5, 1, 1, 1, 1, 2, )
([5,28] [0.178571] 0; 5, 1, 1, 2, )
([12,67] [0.179104] 0; 5, 1, 1, 2, 2, )
([7,39] [0.179487] 0; 5, 1, 1, 3, )
([9,50] [0.180000] 0; 5, 1, 1, 4, )
([2,11] [0.181818] 0; 5, 2, )
([9,49] [0.183673] 0; 5, 2, 4, )
([7,38] [0.184211] 0; 5, 2, 3, )
([12,65] [0.184615] 0; 5, 2, 2, 2, )
([5,27] [0.185185] 0; 5, 2, 2, )
([13,70] [0.185714] 0; 5, 2, 1, 1, 2, )
([8,43] [0.186047] 0; 5, 2, 1, 2, )
([11,59] [0.186441] 0; 5, 2, 1, 3, )
([3,16] [0.187500] 0; 5, 3, )
([10,53] [0.188679] 0; 5, 3, 3, )
([7,37] [0.189189] 0; 5, 3, 2, )
([11,58] [0.189655] 0; 5, 3, 1, 2, )
([4,21] [0.190476] 0; 5, 4, )
([9,47] [0.191489] 0; 5, 4, 2, )
([5,26] [0.192308] 0; 5, 5, )
([6,31] [0.193548] 0; 5, 6, )
([1,5] [0.200000] 0; 5, )
([7,34] [0.205882] 0; 4, 1, 6, )
([6,29] [0.206897] 0; 4, 1, 5, )
([11,53] [0.207547] 0; 4, 1, 4, 2, )
([5,24] [0.208333] 0; 4, 1, 4, )
([14,67] [0.208955] 0; 4, 1, 3, 1, 2, )
([9,43] [0.209302] 0; 4, 1, 3, 2, )
([13,62] [0.209677] 0; 4, 1, 3, 3, )
([4,19] [0.210526] 0; 4, 1, 3, )
([15,71] [0.211268] 0; 4, 1, 2, 1, 3, )
([11,52] [0.211538] 0; 4, 1, 2, 1, 2, )
([18,85] [0.211765] 0; 4, 1, 2, 1, 1, 2, )
([7,33] [0.212121] 0; 4, 1, 2, 2, )
([17,80] [0.212500] 0; 4, 1, 2, 2, 2, )
([10,47] [0.212766] 0; 4, 1, 2, 3, )
([13,61] [0.213115] 0; 4, 1, 2, 4, )
([3,14] [0.214286] 0; 4, 1, 2, )
([14,65] [0.215385] 0; 4, 1, 1, 1, 4, )
([11,51] [0.215686] 0; 4, 1, 1, 1, 3, )
([19,88] [0.215909] 0; 4, 1, 1, 1, 2, 2, )
([8,37] [0.216216] 0; 4, 1, 1, 1, 2, )
([21,97] [0.216495] 0; 4, 1, 1, 1, 1, 1, 2, )
([13,60] [0.216667] 0; 4, 1, 1, 1, 1, 2, )
([18,83] [0.216867] 0; 4, 1, 1, 1, 1, 3, )
([5,23] [0.217391] 0; 4, 1, 1, 2, )
([17,78] [0.217949] 0; 4, 1, 1, 2, 3, )
([12,55] [0.218182] 0; 4, 1, 1, 2, 2, )
([19,87] [0.218391] 0; 4, 1, 1, 2, 1, 2, )
([7,32] [0.218750] 0; 4, 1, 1, 3, )
([16,73] [0.219178] 0; 4, 1, 1, 3, 2, )
([9,41] [0.219512] 0; 4, 1, 1, 4, )
([11,50] [0.220000] 0; 4, 1, 1, 5, )
([2,9] [0.222222] 0; 4, 2, )
([11,49] [0.224490] 0; 4, 2, 5, )
([9,40] [0.225000] 0; 4, 2, 4, )
([16,71] [0.225352] 0; 4, 2, 3, 2, )
([7,31] [0.225806] 0; 4, 2, 3, )
([19,84] [0.226190] 0; 4, 2, 2, 1, 2, )
([12,53] [0.226415] 0; 4, 2, 2, 2, )
([17,75] [0.226667] 0; 4, 2, 2, 3, )
([5,22] [0.227273] 0; 4, 2, 2, )
([18,79] [0.227848] 0; 4, 2, 1, 1, 3, )
([13,57] [0.228070] 0; 4, 2, 1, 1, 2, )
([21,92] [0.228261] 0; 4, 2, 1, 1, 1, 2, )
([8,35] [0.228571] 0; 4, 2, 1, 2, )
([19,83] [0.228916] 0; 4, 2, 1, 2, 2, )
([11,48] [0.229167] 0; 4, 2, 1, 3, )
([14,61] [0.229508] 0; 4, 2, 1, 4, )
([3,13] [0.230769] 0; 4, 3, )
([13,56] [0.232143] 0; 4, 3, 4, )
([10,43] [0.232558] 0; 4, 3, 3, )
([17,73] [0.232877] 0; 4, 3, 2, 2, )
([7,30] [0.233333] 0; 4, 3, 2, )
([18,77] [0.233766] 0; 4, 3, 1, 1, 2, )
([11,47] [0.234043] 0; 4, 3, 1, 2, )
([15,64] [0.234375] 0; 4, 3, 1, 3, )
([4,17] [0.235294] 0; 4, 4, )
([13,55] [0.236364] 0; 4, 4, 3, )
([9,38] [0.236842] 0; 4, 4, 2, )
([14,59] [0.237288] 0; 4, 4, 1, 2, )
([5,21] [0.238095] 0; 4, 5, )
([11,46] [0.239130] 0; 4, 5, 2, )
([6,25] [0.240000] 0; 4, 6, )
([7,29] [0.241379] 0; 4, 7, )
([1,4] [0.250000] 0; 4, )
([8,31] [0.258065] 0; 3, 1, 7, )
([7,27] [0.259259] 0; 3, 1, 6, )
([13,50] [0.260000] 0; 3, 1, 5, 2, )
([6,23] [0.260870] 0; 3, 1, 5, )
([17,65] [0.261538] 0; 3, 1, 4, 1, 2, )
([11,42] [0.261905] 0; 3, 1, 4, 2, )
([16,61] [0.262295] 0; 3, 1, 4, 3, )
([5,19] [0.263158] 0; 3, 1, 4, )
([19,72] [0.263889] 0; 3, 1, 3, 1, 3, )
([14,53] [0.264151] 0; 3, 1, 3, 1, 2, )
([23,87] [0.264368] 0; 3, 1, 3, 1, 1, 2, )
([9,34] [0.264706] 0; 3, 1, 3, 2, )
([22,83] [0.265060] 0; 3, 1, 3, 2, 2, )
([13,49] [0.265306] 0; 3, 1, 3, 3, )
([17,64] [0.265625] 0; 3, 1, 3, 4, )
([4,15] [0.266667] 0; 3, 1, 3, )
([19,71] [0.267606] 0; 3, 1, 2, 1, 4, )
([15,56] [0.267857] 0; 3, 1, 2, 1, 3, )
([26,97] [0.268041] 0; 3, 1, 2, 1, 2, 2, )
([11,41] [0.268293] 0; 3, 1, 2, 1, 2, )
([29,108] [0.268519] 0; 3, 1, 2, 1, 1, 1, 2, )
([18,67] [0.268657] 0; 3, 1, 2, 1, 1, 2, )
([25,93] [0.268817] 0; 3, 1, 2, 1, 1, 3, )
([7,26] [0.269231] 0; 3, 1, 2, 2, )
([24,89] [0.269663] 0; 3, 1, 2, 2, 3, )
([17,63] [0.269841] 0; 3, 1, 2, 2, 2, )
([27,100] [0.270000] 0; 3, 1, 2, 2, 1, 2, )
([10,37] [0.270270] 0; 3, 1, 2, 3, )
([23,85] [0.270588] 0; 3, 1, 2, 3, 2, )
([13,48] [0.270833] 0; 3, 1, 2, 4, )
([16,59] [0.271186] 0; 3, 1, 2, 5, )
([3,11] [0.272727] 0; 3, 1, 2, )
([17,62] [0.274194] 0; 3, 1, 1, 1, 5, )
([14,51] [0.274510] 0; 3, 1, 1, 1, 4, )
([25,91] [0.274725] 0; 3, 1, 1, 1, 3, 2, )
([11,40] [0.275000] 0; 3, 1, 1, 1, 3, )
([30,109] [0.275229] 0; 3, 1, 1, 1, 2, 1, 2, )
([19,69] [0.275362] 0; 3, 1, 1, 1, 2, 2, )
([27,98] [0.275510] 0; 3, 1, 1, 1, 2, 3, )
([8,29] [0.275862] 0; 3, 1, 1, 1, 2, )
([29,105] [0.276190] 0; 3, 1, 1, 1, 1, 1, 3, )
([21,76] [0.276316] 0; 3, 1, 1, 1, 1, 1, 2, )
([34,123] [0.276423] 0; 3, 1, 1, 1, 1, 1, 1, 2, )
([13,47] [0.276596] 0; 3, 1, 1, 1, 1, 2, )
([31,112] [0.276786] 0; 3, 1, 1, 1, 1, 2, 2, )
([18,65] [0.276923] 0; 3, 1, 1, 1, 1, 3, )
([23,83] [0.277108] 0; 3, 1, 1, 1, 1, 4, )
([5,18] [0.277778] 0; 3, 1, 1, 2, )
([22,79] [0.278481] 0; 3, 1, 1, 2, 4, )
([17,61] [0.278689] 0; 3, 1, 1, 2, 3, )
([29,104] [0.278846] 0; 3, 1, 1, 2, 2, 2, )
([12,43] [0.279070] 0; 3, 1, 1, 2, 2, )
([31,111] [0.279279] 0; 3, 1, 1, 2, 1, 1, 2, )
([19,68] [0.279412] 0; 3, 1, 1, 2, 1, 2, )
([26,93] [0.279570] 0; 3, 1, 1, 2, 1, 3, )
([7,25] [0.280000] 0; 3, 1, 1, 3, )
([23,82] [0.280488] 0; 3, 1, 1, 3, 3, )
([16,57] [0.280702] 0; 3, 1, 1, 3, 2, )
([25,89] [0.280899] 0; 3, 1, 1, 3, 1, 2, )
([9,32] [0.281250] 0; 3, 1, 1, 4, )
([20,71] [0.281690] 0; 3, 1, 1, 4, 2, )
([11,39] [0.282051] 0; 3, 1, 1, 5, )
([13,46] [0.282609] 0; 3, 1, 1, 6, )
([2,7] [0.285714] 0; 3, 2, )
([13,45] [0.288889] 0; 3, 2, 6, )
([11,38] [0.289474] 0; 3, 2, 5, )
([20,69] [0.289855] 0; 3, 2, 4, 2, )
([9,31] [0.290323] 0; 3, 2, 4, )
([25,86] [0.290698] 0; 3, 2, 3, 1, 2, )
([16,55] [0.290909] 0; 3, 2, 3, 2, )
([23,79] [0.291139] 0; 3, 2, 3, 3, )
([7,24] [0.291667] 0; 3, 2, 3, )
([26,89] [0.292135] 0; 3, 2, 2, 1, 3, )
([19,65] [0.292308] 0; 3, 2, 2, 1, 2, )
([31,106] [0.292453] 0; 3, 2, 2, 1, 1, 2, )
([12,41] [0.292683] 0; 3, 2, 2, 2, )
([29,99] [0.292929] 0; 3, 2, 2, 2, 2, )
([17,58] [0.293103] 0; 3, 2, 2, 3, )
([22,75] [0.293333] 0; 3, 2, 2, 4, )
([5,17] [0.294118] 0; 3, 2, 2, )
([23,78] [0.294872] 0; 3, 2, 1, 1, 4, )
([18,61] [0.295082] 0; 3, 2, 1, 1, 3, )
([31,105] [0.295238] 0; 3, 2, 1, 1, 2, 2, )
([13,44] [0.295455] 0; 3, 2, 1, 1, 2, )
([34,115] [0.295652] 0; 3, 2, 1, 1, 1, 1, 2, )
([21,71] [0.295775] 0; 3, 2, 1, 1, 1, 2, )
([29,98] [0.295918] 0; 3, 2, 1, 1, 1, 3, )
([8,27] [0.296296] 0; 3, 2, 1, 2, )
([27,91] [0.296703] 0; 3, 2, 1, 2, 3, )
([19,64] [0.296875] 0; 3, 2, 1, 2, 2, )
([30,101] [0.297030] 0; 3, 2, 1, 2, 1, 2, )
([11,37] [0.297297] 0; 3, 2, 1, 3, )
([25,84] [0.297619] 0; 3, 2, 1, 3, 2, )
([14,47] [0.297872] 0; 3, 2, 1, 4, )
([17,57] [0.298246] 0; 3, 2, 1, 5, )
([3,10] [0.300000] 0; 3, 3, )
([16,53] [0.301887] 0; 3, 3, 5, )
([13,43] [0.302326] 0; 3, 3, 4, )
([23,76] [0.302632] 0; 3, 3, 3, 2, )
([10,33] [0.303030] 0; 3, 3, 3, )
([27,89] [0.303371] 0; 3, 3, 2, 1, 2, )
([17,56] [0.303571] 0; 3, 3, 2, 2, )
([24,79] [0.303797] 0; 3, 3, 2, 3, )
([7,23] [0.304348] 0; 3, 3, 2, )
([25,82] [0.304878] 0; 3, 3, 1, 1, 3, )
([18,59] [0.305085] 0; 3, 3, 1, 1, 2, )
([29,95] [0.305263] 0; 3, 3, 1, 1, 1, 2, )
([11,36] [0.305556] 0; 3, 3, 1, 2, )
([26,85] [0.305882] 0; 3, 3, 1, 2, 2, )
([15,49] [0.306122] 0; 3, 3, 1, 3, )
([19,62] [0.306452] 0; 3, 3, 1, 4, )
([4,13] [0.307692] 0; 3, 4, )
([17,55] [0.309091] 0; 3, 4, 4, )
([13,42] [0.309524] 0; 3, 4, 3, )
([22,71] [0.309859] 0; 3, 4, 2, 2, )
([9,29] [0.310345] 0; 3, 4, 2, )
([23,74] [0.310811] 0; 3, 4, 1, 1, 2, )
([14,45] [0.311111] 0; 3, 4, 1, 2, )
([19,61] [0.311475] 0; 3, 4, 1, 3, )
([5,16] [0.312500] 0; 3, 5, )
([16,51] [0.313725] 0; 3, 5, 3, )
([11,35] [0.314286] 0; 3, 5, 2, )
([17,54] [0.314815] 0; 3, 5, 1, 2, )
([6,19] [0.315789] 0; 3, 6, )
([13,41] [0.317073] 0; 3, 6, 2, )
([7,22] [0.318182] 0; 3, 7, )
([8,25] [0.320000] 0; 3, 8, )
([1,3] [0.333333] 0; 3, )
([9,26] [0.346154] 0; 2, 1, 8, )
([8,23] [0.347826] 0; 2, 1, 7, )
([15,43] [0.348837] 0; 2, 1, 6, 2, )
([7,20] [0.350000] 0; 2, 1, 6, )
([20,57] [0.350877] 0; 2, 1, 5, 1, 2, )
([13,37] [0.351351] 0; 2, 1, 5, 2, )
([19,54] [0.351852] 0; 2, 1, 5, 3, )
([6,17] [0.352941] 0; 2, 1, 5, )
([23,65] [0.353846] 0; 2, 1, 4, 1, 3, )
([17,48] [0.354167] 0; 2, 1, 4, 1, 2, )
([28,79] [0.354430] 0; 2, 1, 4, 1, 1, 2, )
([11,31] [0.354839] 0; 2, 1, 4, 2, )
([27,76] [0.355263] 0; 2, 1, 4, 2, 2, )
([16,45] [0.355556] 0; 2, 1, 4, 3, )
([21,59] [0.355932] 0; 2, 1, 4, 4, )
([5,14] [0.357143] 0; 2, 1, 4, )
([24,67] [0.358209] 0; 2, 1, 3, 1, 4, )
([19,53] [0.358491] 0; 2, 1, 3, 1, 3, )
([33,92] [0.358696] 0; 2, 1, 3, 1, 2, 2, )
([14,39] [0.358974] 0; 2, 1, 3, 1, 2, )
([37,103] [0.359223] 0; 2, 1, 3, 1, 1, 1, 2, )
([23,64] [0.359375] 0; 2, 1, 3, 1, 1, 2, )
([32,89] [0.359551] 0; 2, 1, 3, 1, 1, 3, )
([9,25] [0.360000] 0; 2, 1, 3, 2, )
([31,86] [0.360465] 0; 2, 1, 3, 2, 3, )
([22,61] [0.360656] 0; 2, 1, 3, 2, 2, )
([35,97] [0.360825] 0; 2, 1, 3, 2, 1, 2, )
([13,36] [0.361111] 0; 2, 1, 3, 3, )
([30,83] [0.361446] 0; 2, 1, 3, 3, 2, )
([17,47] [0.361702] 0; 2, 1, 3, 4, )
([21,58] [0.362069] 0; 2, 1, 3, 5, )
([4,11] [0.363636] 0; 2, 1, 3, )
([23,63] [0.365079] 0; 2, 1, 2, 1, 5, )
([19,52] [0.365385] 0; 2, 1, 2, 1, 4, )
([34,93] [0.365591] 0; 2, 1, 2, 1, 3, 2, )
([15,41] [0.365854] 0; 2, 1, 2, 1, 3, )
([41,112] [0.366071] 0; 2, 1, 2, 1, 2, 1, 2, )
([26,71] [0.366197] 0; 2, 1, 2, 1, 2, 2, )
([37,101] [0.366337] 0; 2, 1, 2, 1, 2, 3, )
([11,30] [0.366667] 0; 2, 1, 2, 1, 2, )
([40,109] [0.366972] 0; 2, 1, 2, 1, 1, 1, 3, )
([29,79] [0.367089] 0; 2, 1, 2, 1, 1, 1, 2, )
([47,128] [0.367188] 0; 2, 1, 2, 1, 1, 1, 1, 2, )
([18,49] [0.367347] 0; 2, 1, 2, 1, 1, 2, )
([43,117] [0.367521] 0; 2, 1, 2, 1, 1, 2, 2, )
([25,68] [0.367647] 0; 2, 1, 2, 1, 1, 3, )
([32,87] [0.367816] 0; 2, 1, 2, 1, 1, 4, )
([7,19] [0.368421] 0; 2, 1, 2, 2, )
([31,84] [0.369048] 0; 2, 1, 2, 2, 4, )
([24,65] [0.369231] 0; 2, 1, 2, 2, 3, )
([41,111] [0.369369] 0; 2, 1, 2, 2, 2, 2, )
([17,46] [0.369565] 0; 2, 1, 2, 2, 2, )
([44,119] [0.369748] 0; 2, 1, 2, 2, 1, 1, 2, )
([27,73] [0.369863] 0; 2, 1, 2, 2, 1, 2, )
([37,100] [0.370000] 0; 2, 1, 2, 2, 1, 3, )
([10,27] [0.370370] 0; 2, 1, 2, 3, )
([33,89] [0.370787] 0; 2, 1, 2, 3, 3, )
([23,62] [0.370968] 0; 2, 1, 2, 3, 2, )
([36,97] [0.371134] 0; 2, 1, 2, 3, 1, 2, )
([13,35] [0.371429] 0; 2, 1, 2, 4, )
([29,78] [0.371795] 0; 2, 1, 2, 4, 2, )
([16,43] [0.372093] 0; 2, 1, 2, 5, )
([19,51] [0.372549] 0; 2, 1, 2, 6, )
([3,8] [0.375000] 0; 2, 1, 2, )
([20,53] [0.377358] 0; 2, 1, 1, 1, 6, )
([17,45] [0.377778] 0; 2, 1, 1, 1, 5, )
([31,82] [0.378049] 0; 2, 1, 1, 1, 4, 2, )
([14,37] [0.378378] 0; 2, 1, 1, 1, 4, )
([39,103] [0.378641] 0; 2, 1, 1, 1, 3, 1, 2, )
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([34,83] [0.409639] 0; 2, 2, 3, 1, 3, )
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([41,100] [0.410000] 0; 2, 2, 3, 1, 1, 2, )
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([44,105] [0.419048] 0; 2, 2, 1, 1, 2, 3, )
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([35,83] [0.421687] 0; 2, 2, 1, 2, 4, )
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([47,61] [0.770492] 0; 1, 3, 2, 1, 4, )
([37,48] [0.770833] 0; 1, 3, 2, 1, 3, )
([64,83] [0.771084] 0; 1, 3, 2, 1, 2, 2, )
([27,35] [0.771429] 0; 1, 3, 2, 1, 2, )
([71,92] [0.771739] 0; 1, 3, 2, 1, 1, 1, 2, )
([44,57] [0.771930] 0; 1, 3, 2, 1, 1, 2, )
([61,79] [0.772152] 0; 1, 3, 2, 1, 1, 3, )
([17,22] [0.772727] 0; 1, 3, 2, 2, )
([58,75] [0.773333] 0; 1, 3, 2, 2, 3, )
([41,53] [0.773585] 0; 1, 3, 2, 2, 2, )
([65,84] [0.773810] 0; 1, 3, 2, 2, 1, 2, )
([24,31] [0.774194] 0; 1, 3, 2, 3, )
([55,71] [0.774648] 0; 1, 3, 2, 3, 2, )
([31,40] [0.775000] 0; 1, 3, 2, 4, )
([38,49] [0.775510] 0; 1, 3, 2, 5, )
([7,9] [0.777778] 0; 1, 3, 2, )
([39,50] [0.780000] 0; 1, 3, 1, 1, 5, )
([32,41] [0.780488] 0; 1, 3, 1, 1, 4, )
([57,73] [0.780822] 0; 1, 3, 1, 1, 3, 2, )
([25,32] [0.781250] 0; 1, 3, 1, 1, 3, )
([68,87] [0.781609] 0; 1, 3, 1, 1, 2, 1, 2, )
([43,55] [0.781818] 0; 1, 3, 1, 1, 2, 2, )
([61,78] [0.782051] 0; 1, 3, 1, 1, 2, 3, )
([18,23] [0.782609] 0; 1, 3, 1, 1, 2, )
([65,83] [0.783133] 0; 1, 3, 1, 1, 1, 1, 3, )
([47,60] [0.783333] 0; 1, 3, 1, 1, 1, 1, 2, )
([76,97] [0.783505] 0; 1, 3, 1, 1, 1, 1, 1, 2, )
([29,37] [0.783784] 0; 1, 3, 1, 1, 1, 2, )
([69,88] [0.784091] 0; 1, 3, 1, 1, 1, 2, 2, )
([40,51] [0.784314] 0; 1, 3, 1, 1, 1, 3, )
([51,65] [0.784615] 0; 1, 3, 1, 1, 1, 4, )
([11,14] [0.785714] 0; 1, 3, 1, 2, )
([48,61] [0.786885] 0; 1, 3, 1, 2, 4, )
([37,47] [0.787234] 0; 1, 3, 1, 2, 3, )
([63,80] [0.787500] 0; 1, 3, 1, 2, 2, 2, )
([26,33] [0.787879] 0; 1, 3, 1, 2, 2, )
([67,85] [0.788235] 0; 1, 3, 1, 2, 1, 1, 2, )
([41,52] [0.788462] 0; 1, 3, 1, 2, 1, 2, )
([56,71] [0.788732] 0; 1, 3, 1, 2, 1, 3, )
([15,19] [0.789474] 0; 1, 3, 1, 3, )
([49,62] [0.790323] 0; 1, 3, 1, 3, 3, )
([34,43] [0.790698] 0; 1, 3, 1, 3, 2, )
([53,67] [0.791045] 0; 1, 3, 1, 3, 1, 2, )
([19,24] [0.791667] 0; 1, 3, 1, 4, )
([42,53] [0.792453] 0; 1, 3, 1, 4, 2, )
([23,29] [0.793103] 0; 1, 3, 1, 5, )
([27,34] [0.794118] 0; 1, 3, 1, 6, )
([4,5] [0.800000] 0; 1, 4, )
([25,31] [0.806452] 0; 1, 4, 6, )
([21,26] [0.807692] 0; 1, 4, 5, )
([38,47] [0.808511] 0; 1, 4, 4, 2, )
([17,21] [0.809524] 0; 1, 4, 4, )
([47,58] [0.810345] 0; 1, 4, 3, 1, 2, )
([30,37] [0.810811] 0; 1, 4, 3, 2, )
([43,53] [0.811321] 0; 1, 4, 3, 3, )
([13,16] [0.812500] 0; 1, 4, 3, )
([48,59] [0.813559] 0; 1, 4, 2, 1, 3, )
([35,43] [0.813953] 0; 1, 4, 2, 1, 2, )
([57,70] [0.814286] 0; 1, 4, 2, 1, 1, 2, )
([22,27] [0.814815] 0; 1, 4, 2, 2, )
([53,65] [0.815385] 0; 1, 4, 2, 2, 2, )
([31,38] [0.815789] 0; 1, 4, 2, 3, )
([40,49] [0.816327] 0; 1, 4, 2, 4, )
([9,11] [0.818182] 0; 1, 4, 2, )
([41,50] [0.820000] 0; 1, 4, 1, 1, 4, )
([32,39] [0.820513] 0; 1, 4, 1, 1, 3, )
([55,67] [0.820896] 0; 1, 4, 1, 1, 2, 2, )
([23,28] [0.821429] 0; 1, 4, 1, 1, 2, )
([60,73] [0.821918] 0; 1, 4, 1, 1, 1, 1, 2, )
([37,45] [0.822222] 0; 1, 4, 1, 1, 1, 2, )
([51,62] [0.822581] 0; 1, 4, 1, 1, 1, 3, )
([14,17] [0.823529] 0; 1, 4, 1, 2, )
([47,57] [0.824561] 0; 1, 4, 1, 2, 3, )
([33,40] [0.825000] 0; 1, 4, 1, 2, 2, )
([52,63] [0.825397] 0; 1, 4, 1, 2, 1, 2, )
([19,23] [0.826087] 0; 1, 4, 1, 3, )
([43,52] [0.826923] 0; 1, 4, 1, 3, 2, )
([24,29] [0.827586] 0; 1, 4, 1, 4, )
([29,35] [0.828571] 0; 1, 4, 1, 5, )
([5,6] [0.833333] 0; 1, 5, )
([26,31] [0.838710] 0; 1, 5, 5, )
([21,25] [0.840000] 0; 1, 5, 4, )
([37,44] [0.840909] 0; 1, 5, 3, 2, )
([16,19] [0.842105] 0; 1, 5, 3, )
([43,51] [0.843137] 0; 1, 5, 2, 1, 2, )
([27,32] [0.843750] 0; 1, 5, 2, 2, )
([38,45] [0.844444] 0; 1, 5, 2, 3, )
([11,13] [0.846154] 0; 1, 5, 2, )
([39,46] [0.847826] 0; 1, 5, 1, 1, 3, )
([28,33] [0.848485] 0; 1, 5, 1, 1, 2, )
([45,53] [0.849057] 0; 1, 5, 1, 1, 1, 2, )
([17,20] [0.850000] 0; 1, 5, 1, 2, )
([40,47] [0.851064] 0; 1, 5, 1, 2, 2, )
([23,27] [0.851852] 0; 1, 5, 1, 3, )
([29,34] [0.852941] 0; 1, 5, 1, 4, )
([6,7] [0.857143] 0; 1, 6, )
([25,29] [0.862069] 0; 1, 6, 4, )
([19,22] [0.863636] 0; 1, 6, 3, )
([32,37] [0.864865] 0; 1, 6, 2, 2, )
([13,15] [0.866667] 0; 1, 6, 2, )
([33,38] [0.868421] 0; 1, 6, 1, 1, 2, )
([20,23] [0.869565] 0; 1, 6, 1, 2, )
([27,31] [0.870968] 0; 1, 6, 1, 3, )
([7,8] [0.875000] 0; 1, 7, )
([22,25] [0.880000] 0; 1, 7, 3, )
([15,17] [0.882353] 0; 1, 7, 2, )
([23,26] [0.884615] 0; 1, 7, 1, 2, )
([8,9] [0.888889] 0; 1, 8, )
([17,19] [0.894737] 0; 1, 8, 2, )
([9,10] [0.900000] 0; 1, 9, )
([10,11] [0.909091] 0; 1, 10, )
([1,1] [1.000000] 1; )

#include <stdio.h>
#include <stdlib.h>
typedef struct brocotNode *Node;
typedef struct brocotTreeArray *Tree;
struct brocotNode
{
int numerator;
int denominator;
int leftChild;
int rightChild;
};
struct brocotTreeArray
{
int depth;
int numberOfNodes;
Node *treeNodes;
};
long Powerof(int number, int power)
{
long value = 1;
for(long i = 0; i < power; i++)
{
value *= number;
}
return value;
}
void coefficient(int numerator, int denominator, int i)
{
if(denominator == 0)
{
return;
}
else
{
int quotient = numerator / denominator;
int remainder = numerator % denominator;

if(i == 0)
{
i++;
printf("%d; ", quotient);
coefficient(denominator, remainder, i);
}
else
{
i++;
printf("%d, ", quotient);
coefficient(denominator, remainder, i);
}
}
}
Tree CreateTree(int depth)
{
Tree tree;
tree = malloc(sizeof(*tree));
int numberOfNodes = Powerof(2, depth) + 1;
tree->depth = depth;
tree->numberOfNodes = numberOfNodes;
tree->treeNodes = malloc(sizeof(Node*) * numberOfNodes);
Node blankNode;
for(int i = 0; i < numberOfNodes; i++)
{
tree->treeNodes[i] = malloc(sizeof(*blankNode));
if(i == 0)
{
tree->treeNodes[i]->numerator = 0;
tree->treeNodes[i]->denominator = 1;
}
else if(i == numberOfNodes -1)
{
tree->treeNodes[i]->numerator = 1;
tree->treeNodes[i]->denominator = 1;
}
else
{
tree->treeNodes[i]->numerator = 0;
tree->treeNodes[i]->denominator = 0;
}
tree->treeNodes[i]->leftChild = 0;
tree->treeNodes[i]->rightChild = 0;
}
return tree;
}
void FillTreeHelper(Tree tree, int num1,int den1,int num2,int den2, int depth, int start, int stop)
{
if(depth == 0)
{
return;
}
int numerator = num1 + num2;
int denominator = den1 + den2;
depth--;
int newPosition = (start+stop) / 2;
tree->treeNodes[newPosition]->numerator = numerator;
tree->treeNodes[newPosition]->denominator = denominator;
//printf("(%d %d , %d)\n", numerator, denominator, newPosition);
FillTreeHelper(tree, num1, den1, numerator, denominator, depth, start, newPosition);
FillTreeHelper(tree, numerator, denominator,num2, den2, depth, newPosition, stop);
}
void FillTree(Tree tree)
{
int start = 0;
int stop = (tree->numberOfNodes) - 1;
tree->treeNodes[0]->numerator = 0;
tree->treeNodes[0]->denominator = 1;
//printf("(0 1 , 0)\n");
FillTreeHelper(tree, 0,1,1,1,tree->depth, start, stop);
//printf("(1 1 , %d)\n", stop);
tree->treeNodes[stop]->numerator = 1;
tree->treeNodes[stop]->denominator = 1;
}
void PrintTreeLinear(Tree tree)
{
int end = tree->numberOfNodes;
for(int i = 0; i < end; i++)
{
printf("([%d,%d] [%5f] ", tree->treeNodes[i]->numerator, tree->treeNodes[i]->denominator,(double)(tree->treeNodes[i]->numerator) / (double)(tree->treeNodes[i]->denominator));
coefficient(tree->treeNodes[i]->numerator,tree->treeNodes[i]->denominator,0);
printf(")\n");
}

putchar('\n');
/*for(int i = 0; i < end; i++)
{
printf("%2d ", tree->treeNodes[i]->denominator);
}*/
}
void PrintTreeHelper(Tree tree, int depth, int start, int stop, int count)
{
if(depth == 0)
{
return;
}
depth--;
int newPosition = (start+stop) / 2;
printf("(%d/%d) %d", tree->treeNodes[newPosition]->numerator, tree->treeNodes[newPosition]->denominator, count);

PrintTreeHelper(tree, depth, start, newPosition, count++);
PrintTreeHelper(tree, depth, newPosition, stop, count++);
}
void PrintTree(Tree tree)
{
int count = 0;
PrintTreeHelper(tree, tree->depth, 0, (tree->numberOfNodes) - 1, count);
}
int main()
{
Tree tree = CreateTree(10);
FillTree(tree);
printf("\t%d Fractions\n", tree->numberOfNodes);
PrintTreeLinear(tree);

//PrintTree(tree);
return 0;
}