Useful to convert (x; y) coordinates to chain-coded coordinates.
Note
Note this function will be deprecated from Momocs
when Momacs
and Momit
will be fully operationnal.
References
Kuhl, F. P., & Giardina, C. R. (1982). Elliptic Fourier features of a closed contour. Computer Graphics and Image Processing, 18(3), 236-258.
See also
chc2pix
Other import functions:
import_Conte()
,
import_StereoMorph_curve1()
,
import_jpg1()
,
import_jpg()
,
import_tps()
,
import_txt()
Other import functions:
import_Conte()
,
import_StereoMorph_curve1()
,
import_jpg1()
,
import_jpg()
,
import_tps()
,
import_txt()
Examples
pix2chc(shapes[1]) %T>% print %>% # from pix to chc
chc2pix() # and back
#> [1] 5 4 3 2 4 4 3 4 4 3 4 4 3 4 3 3 4 3 4 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 2 3
#> [38] 3 3 2 3 3 2 3 3 2 3 2 3 2 3 3 2 3 2 2 3 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2
#> [75] 2 3 2 1 2 3 2 2 2 2 3 2 2 2 3 2 3 2 3 4 3 4 4 4 4 3 4 4 5 4 4 4 5 4 5 5 5
#> [112] 5 5 5 6 5 5 6 5 5 6 5 6 5 6 5 5 5 6 5 5 5 5 5 5 5 5 4 5 4 5 4 5 4 5 4 5 4
#> [149] 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
#> [186] 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
#> [223] 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [260] 1 0 1 1 1 1 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 1 1 2 1 1 1 1 1 0 1 1 0 1 0 1 0
#> [297] 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [334] 0 7 0 0 0 7 0 0 0 7 0 7 0 7 0 7 0 7 0 7 7 7 7 0 7 7 6 7 7 7 7 6 7 7 6 7 7
#> [371] 6 7 6 6 7 6 7 6 6 7 6 6 7 6 6 7 6 6 6 7 6 6 7 6 6 6 7 6 6 6 7 6 6 6 7 6 6
#> [408] 6 7 6 6 7 6 7 6 7 6 7 7 7 7 7 0 0 7 0 0 1 0 0 1 0 1 1 1 2 1 2 1 2 1 2 1 2
#> [445] 2 1 2 2 1 2 2 1 2 2 1 2 1 2 2 1 2 1 2 1 2 1 2 1 1 1 2 1 1 1 1 1 1 0 1 1 0
#> [482] 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [519] 0 0 1 7 1 3 2 2 2 3 2 2 2 3 2 2 2 3 2 2 3 2 2 2 3 2 2 2 3 2 2 2 2 3 2 2 2
#> [556] 2 2 1 2 1 1 0 0 0 0 1 7 0 7 0 7 0 7 7 0 7 7 0 7 7 7 0 7 7 0 7 7 7 0 7 7 0
#> [593] 7 7 0 7 7 7 0 7 7 0 7 7 7 0 7 7 0 7 7 0 7 7 7 0 7 7 0 7 7 7 0 7 7 0 7 7 0
#> [630] 7 7 7 0 7 7 0 7 7 7 0 7 7 0 7 7 0 7 7 7 0 7 7 0 7 5 5 5 4 5 5 4 5 5 5 4 5
#> [667] 5 4 5 5 5 4 5 5 4 5 5 4 5 5 5 4 5 5 4 5 5 5 4 5 5 4 5 5 4 5 5 5 4 5 5 4 5
#> [704] 5 4 5 5 5 4 5 5 5 4 5 5 4 5 5 4 5 5 5 4 5 5 4 5 5 4 5 5 5 4 5 5 4 5 5 4 5
#> [741] 4 4 4 5 3 4 3 3 3 3 2 2 2 2 2 2 2 1 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1
#> [778] 2 2 2 1 2 2 1 3 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 5 4 5 5 6 6 5 6 6 5 6 5 6 6
#> [815] 5 6 5 6 6 5 6 5 6 6 5 6 5 6 5 6 5 6 5 5 6 5 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5
#> [852] 4 5 4 5 5 4 5 4 5 4 4 5 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
#> [,1] [,2]
#> [1,] -1 -1
#> [2,] -2 -1
#> [3,] -3 0
#> [4,] -3 1
#> [5,] -4 1
#> [6,] -5 1
#> [7,] -6 2
#> [8,] -7 2
#> [9,] -8 2
#> [10,] -9 3
#> [11,] -10 3
#> [12,] -11 3
#> [13,] -12 4
#> [14,] -13 4
#> [15,] -14 5
#> [16,] -15 6
#> [17,] -16 6
#> [18,] -17 7
#> [19,] -18 7
#> [20,] -19 8
#> [21,] -20 9
#> [22,] -21 9
#> [23,] -22 10
#> [24,] -23 11
#> [25,] -24 12
#> [26,] -25 12
#> [27,] -26 13
#> [28,] -27 14
#> [29,] -28 15
#> [30,] -29 16
#> [31,] -30 17
#> [32,] -31 18
#> [33,] -32 19
#> [34,] -33 20
#> [35,] -34 21
#> [36,] -34 22
#> [37,] -35 23
#> [38,] -36 24
#> [39,] -37 25
#> [40,] -37 26
#> [41,] -38 27
#> [42,] -39 28
#> [43,] -39 29
#> [44,] -40 30
#> [45,] -41 31
#> [46,] -41 32
#> [47,] -42 33
#> [48,] -42 34
#> [49,] -43 35
#> [50,] -43 36
#> [51,] -44 37
#> [52,] -45 38
#> [53,] -45 39
#> [54,] -46 40
#> [55,] -46 41
#> [56,] -46 42
#> [57,] -47 43
#> [58,] -47 44
#> [59,] -47 45
#> [60,] -48 46
#> [61,] -48 47
#> [62,] -48 48
#> [63,] -48 49
#> [64,] -48 50
#> [65,] -49 51
#> [66,] -49 52
#> [67,] -49 53
#> [68,] -49 54
#> [69,] -49 55
#> [70,] -50 56
#> [71,] -50 57
#> [72,] -50 58
#> [73,] -50 59
#> [74,] -50 60
#> [75,] -50 61
#> [76,] -51 62
#> [77,] -51 63
#> [78,] -50 64
#> [79,] -50 65
#> [80,] -51 66
#> [81,] -51 67
#> [82,] -51 68
#> [83,] -51 69
#> [84,] -51 70
#> [85,] -52 71
#> [86,] -52 72
#> [87,] -52 73
#> [88,] -52 74
#> [89,] -53 75
#> [90,] -53 76
#> [91,] -54 77
#> [92,] -54 78
#> [93,] -55 79
#> [94,] -56 79
#> [95,] -57 80
#> [96,] -58 80
#> [97,] -59 80
#> [98,] -60 80
#> [99,] -61 80
#> [100,] -62 81
#> [101,] -63 81
#> [102,] -64 81
#> [103,] -65 80
#> [104,] -66 80
#> [105,] -67 80
#> [106,] -68 80
#> [107,] -69 79
#> [108,] -70 79
#> [109,] -71 78
#> [110,] -72 77
#> [111,] -73 76
#> [112,] -74 75
#> [113,] -75 74
#> [114,] -76 73
#> [115,] -76 72
#> [116,] -77 71
#> [117,] -78 70
#> [118,] -78 69
#> [119,] -79 68
#> [120,] -80 67
#> [121,] -80 66
#> [122,] -81 65
#> [123,] -81 64
#> [124,] -82 63
#> [125,] -82 62
#> [126,] -83 61
#> [127,] -84 60
#> [128,] -85 59
#> [129,] -85 58
#> [130,] -86 57
#> [131,] -87 56
#> [132,] -88 55
#> [133,] -89 54
#> [134,] -90 53
#> [135,] -91 52
#> [136,] -92 51
#> [137,] -93 50
#> [138,] -94 50
#> [139,] -95 49
#> [140,] -96 49
#> [141,] -97 48
#> [142,] -98 48
#> [143,] -99 47
#> [144,] -100 47
#> [145,] -101 46
#> [146,] -102 46
#> [147,] -103 45
#> [148,] -104 45
#> [149,] -105 45
#> [150,] -106 45
#> [151,] -107 44
#> [152,] -108 44
#> [153,] -109 44
#> [154,] -110 44
#> [155,] -111 44
#> [156,] -112 44
#> [157,] -113 43
#> [158,] -114 43
#> [159,] -115 43
#> [160,] -116 43
#> [161,] -117 43
#> [162,] -118 43
#> [163,] -119 43
#> [164,] -120 43
#> [165,] -121 43
#> [166,] -122 43
#> [167,] -123 43
#> [168,] -124 43
#> [169,] -125 43
#> [170,] -126 43
#> [171,] -127 43
#> [172,] -128 43
#> [173,] -129 43
#> [174,] -130 43
#> [175,] -131 43
#> [176,] -132 43
#> [177,] -133 43
#> [178,] -134 43
#> [179,] -135 43
#> [180,] -136 43
#> [181,] -137 43
#> [182,] -138 43
#> [183,] -139 43
#> [184,] -140 43
#> [185,] -141 43
#> [186,] -142 43
#> [187,] -143 43
#> [188,] -144 43
#> [189,] -145 43
#> [190,] -146 44
#> [191,] -146 45
#> [192,] -146 46
#> [193,] -146 47
#> [194,] -146 48
#> [195,] -146 49
#> [196,] -146 50
#> [197,] -146 51
#> [198,] -146 52
#> [199,] -146 53
#> [200,] -146 54
#> [201,] -146 55
#> [202,] -146 56
#> [203,] -146 57
#> [204,] -146 58
#> [205,] -146 59
#> [206,] -146 60
#> [207,] -146 61
#> [208,] -146 62
#> [209,] -146 63
#> [210,] -146 64
#> [211,] -146 65
#> [212,] -146 66
#> [213,] -146 67
#> [214,] -146 68
#> [215,] -146 69
#> [216,] -146 70
#> [217,] -146 71
#> [218,] -146 72
#> [219,] -146 73
#> [220,] -146 74
#> [221,] -146 75
#> [222,] -146 76
#> [223,] -146 77
#> [224,] -146 78
#> [225,] -146 79
#> [226,] -146 80
#> [227,] -146 81
#> [228,] -146 82
#> [229,] -146 83
#> [230,] -146 84
#> [231,] -146 85
#> [232,] -146 86
#> [233,] -145 87
#> [234,] -144 87
#> [235,] -143 87
#> [236,] -142 87
#> [237,] -141 87
#> [238,] -140 87
#> [239,] -139 87
#> [240,] -138 87
#> [241,] -137 87
#> [242,] -136 87
#> [243,] -135 87
#> [244,] -134 87
#> [245,] -133 87
#> [246,] -132 87
#> [247,] -131 87
#> [248,] -130 87
#> [249,] -129 87
#> [250,] -128 87
#> [251,] -127 87
#> [252,] -126 87
#> [253,] -125 87
#> [254,] -124 87
#> [255,] -123 87
#> [256,] -122 87
#> [257,] -121 87
#> [258,] -120 87
#> [259,] -119 87
#> [260,] -118 88
#> [261,] -117 88
#> [262,] -116 89
#> [263,] -115 90
#> [264,] -114 91
#> [265,] -113 92
#> [266,] -112 93
#> [267,] -112 94
#> [268,] -111 95
#> [269,] -111 96
#> [270,] -110 97
#> [271,] -110 98
#> [272,] -109 99
#> [273,] -108 100
#> [274,] -108 101
#> [275,] -107 102
#> [276,] -107 103
#> [277,] -106 104
#> [278,] -105 105
#> [279,] -105 106
#> [280,] -104 107
#> [281,] -103 108
#> [282,] -102 109
#> [283,] -102 110
#> [284,] -101 111
#> [285,] -100 112
#> [286,] -99 113
#> [287,] -98 114
#> [288,] -97 115
#> [289,] -96 115
#> [290,] -95 116
#> [291,] -94 117
#> [292,] -93 117
#> [293,] -92 118
#> [294,] -91 118
#> [295,] -90 119
#> [296,] -89 119
#> [297,] -88 120
#> [298,] -87 120
#> [299,] -86 121
#> [300,] -85 121
#> [301,] -84 122
#> [302,] -83 122
#> [303,] -82 122
#> [304,] -81 122
#> [305,] -80 123
#> [306,] -79 123
#> [307,] -78 123
#> [308,] -77 123
#> [309,] -76 123
#> [310,] -75 124
#> [311,] -74 124
#> [312,] -73 124
#> [313,] -72 124
#> [314,] -71 124
#> [315,] -70 124
#> [316,] -69 124
#> [317,] -68 124
#> [318,] -67 124
#> [319,] -66 124
#> [320,] -65 124
#> [321,] -64 124
#> [322,] -63 124
#> [323,] -62 124
#> [324,] -61 124
#> [325,] -60 124
#> [326,] -59 124
#> [327,] -58 124
#> [328,] -57 124
#> [329,] -56 124
#> [330,] -55 124
#> [331,] -54 124
#> [332,] -53 124
#> [333,] -52 124
#> [334,] -51 124
#> [335,] -50 123
#> [336,] -49 123
#> [337,] -48 123
#> [338,] -47 123
#> [339,] -46 122
#> [340,] -45 122
#> [341,] -44 122
#> [342,] -43 122
#> [343,] -42 121
#> [344,] -41 121
#> [345,] -40 120
#> [346,] -39 120
#> [347,] -38 119
#> [348,] -37 119
#> [349,] -36 118
#> [350,] -35 118
#> [351,] -34 117
#> [352,] -33 117
#> [353,] -32 116
#> [354,] -31 115
#> [355,] -30 114
#> [356,] -29 113
#> [357,] -28 113
#> [358,] -27 112
#> [359,] -26 111
#> [360,] -26 110
#> [361,] -25 109
#> [362,] -24 108
#> [363,] -23 107
#> [364,] -22 106
#> [365,] -22 105
#> [366,] -21 104
#> [367,] -20 103
#> [368,] -20 102
#> [369,] -19 101
#> [370,] -18 100
#> [371,] -18 99
#> [372,] -17 98
#> [373,] -17 97
#> [374,] -17 96
#> [375,] -16 95
#> [376,] -16 94
#> [377,] -15 93
#> [378,] -15 92
#> [379,] -15 91
#> [380,] -14 90
#> [381,] -14 89
#> [382,] -14 88
#> [383,] -13 87
#> [384,] -13 86
#> [385,] -13 85
#> [386,] -12 84
#> [387,] -12 83
#> [388,] -12 82
#> [389,] -12 81
#> [390,] -11 80
#> [391,] -11 79
#> [392,] -11 78
#> [393,] -10 77
#> [394,] -10 76
#> [395,] -10 75
#> [396,] -10 74
#> [397,] -9 73
#> [398,] -9 72
#> [399,] -9 71
#> [400,] -9 70
#> [401,] -8 69
#> [402,] -8 68
#> [403,] -8 67
#> [404,] -8 66
#> [405,] -7 65
#> [406,] -7 64
#> [407,] -7 63
#> [408,] -7 62
#> [409,] -6 61
#> [410,] -6 60
#> [411,] -6 59
#> [412,] -5 58
#> [413,] -5 57
#> [414,] -4 56
#> [415,] -4 55
#> [416,] -3 54
#> [417,] -3 53
#> [418,] -2 52
#> [419,] -1 51
#> [420,] 0 50
#> [421,] 1 49
#> [422,] 2 48
#> [423,] 3 48
#> [424,] 4 48
#> [425,] 5 47
#> [426,] 6 47
#> [427,] 7 47
#> [428,] 8 48
#> [429,] 9 48
#> [430,] 10 48
#> [431,] 11 49
#> [432,] 12 49
#> [433,] 13 50
#> [434,] 14 51
#> [435,] 15 52
#> [436,] 15 53
#> [437,] 16 54
#> [438,] 16 55
#> [439,] 17 56
#> [440,] 17 57
#> [441,] 18 58
#> [442,] 18 59
#> [443,] 19 60
#> [444,] 19 61
#> [445,] 19 62
#> [446,] 20 63
#> [447,] 20 64
#> [448,] 20 65
#> [449,] 21 66
#> [450,] 21 67
#> [451,] 21 68
#> [452,] 22 69
#> [453,] 22 70
#> [454,] 22 71
#> [455,] 23 72
#> [456,] 23 73
#> [457,] 24 74
#> [458,] 24 75
#> [459,] 24 76
#> [460,] 25 77
#> [461,] 25 78
#> [462,] 26 79
#> [463,] 26 80
#> [464,] 27 81
#> [465,] 27 82
#> [466,] 28 83
#> [467,] 28 84
#> [468,] 29 85
#> [469,] 30 86
#> [470,] 31 87
#> [471,] 31 88
#> [472,] 32 89
#> [473,] 33 90
#> [474,] 34 91
#> [475,] 35 92
#> [476,] 36 93
#> [477,] 37 94
#> [478,] 38 94
#> [479,] 39 95
#> [480,] 40 96
#> [481,] 41 96
#> [482,] 42 97
#> [483,] 43 97
#> [484,] 44 98
#> [485,] 45 98
#> [486,] 46 99
#> [487,] 47 99
#> [488,] 48 99
#> [489,] 49 100
#> [490,] 50 100
#> [491,] 51 100
#> [492,] 52 100
#> [493,] 53 101
#> [494,] 54 101
#> [495,] 55 101
#> [496,] 56 101
#> [497,] 57 101
#> [498,] 58 101
#> [499,] 59 101
#> [500,] 60 101
#> [501,] 61 101
#> [502,] 62 101
#> [503,] 63 101
#> [504,] 64 101
#> [505,] 65 101
#> [506,] 66 101
#> [507,] 67 101
#> [508,] 68 101
#> [509,] 69 101
#> [510,] 70 101
#> [511,] 71 101
#> [512,] 72 101
#> [513,] 73 101
#> [514,] 74 101
#> [515,] 75 101
#> [516,] 76 101
#> [517,] 77 101
#> [518,] 78 101
#> [519,] 79 101
#> [520,] 80 101
#> [521,] 81 102
#> [522,] 82 101
#> [523,] 83 102
#> [524,] 82 103
#> [525,] 82 104
#> [526,] 82 105
#> [527,] 82 106
#> [528,] 81 107
#> [529,] 81 108
#> [530,] 81 109
#> [531,] 81 110
#> [532,] 80 111
#> [533,] 80 112
#> [534,] 80 113
#> [535,] 80 114
#> [536,] 79 115
#> [537,] 79 116
#> [538,] 79 117
#> [539,] 78 118
#> [540,] 78 119
#> [541,] 78 120
#> [542,] 78 121
#> [543,] 77 122
#> [544,] 77 123
#> [545,] 77 124
#> [546,] 77 125
#> [547,] 76 126
#> [548,] 76 127
#> [549,] 76 128
#> [550,] 76 129
#> [551,] 76 130
#> [552,] 75 131
#> [553,] 75 132
#> [554,] 75 133
#> [555,] 75 134
#> [556,] 75 135
#> [557,] 75 136
#> [558,] 76 137
#> [559,] 76 138
#> [560,] 77 139
#> [561,] 78 140
#> [562,] 79 140
#> [563,] 80 140
#> [564,] 81 140
#> [565,] 82 140
#> [566,] 83 141
#> [567,] 84 140
#> [568,] 85 140
#> [569,] 86 139
#> [570,] 87 139
#> [571,] 88 138
#> [572,] 89 138
#> [573,] 90 137
#> [574,] 91 136
#> [575,] 92 136
#> [576,] 93 135
#> [577,] 94 134
#> [578,] 95 134
#> [579,] 96 133
#> [580,] 97 132
#> [581,] 98 131
#> [582,] 99 131
#> [583,] 100 130
#> [584,] 101 129
#> [585,] 102 129
#> [586,] 103 128
#> [587,] 104 127
#> [588,] 105 126
#> [589,] 106 126
#> [590,] 107 125
#> [591,] 108 124
#> [592,] 109 124
#> [593,] 110 123
#> [594,] 111 122
#> [595,] 112 122
#> [596,] 113 121
#> [597,] 114 120
#> [598,] 115 119
#> [599,] 116 119
#> [600,] 117 118
#> [601,] 118 117
#> [602,] 119 117
#> [603,] 120 116
#> [604,] 121 115
#> [605,] 122 114
#> [606,] 123 114
#> [607,] 124 113
#> [608,] 125 112
#> [609,] 126 112
#> [610,] 127 111
#> [611,] 128 110
#> [612,] 129 110
#> [613,] 130 109
#> [614,] 131 108
#> [615,] 132 107
#> [616,] 133 107
#> [617,] 134 106
#> [618,] 135 105
#> [619,] 136 105
#> [620,] 137 104
#> [621,] 138 103
#> [622,] 139 102
#> [623,] 140 102
#> [624,] 141 101
#> [625,] 142 100
#> [626,] 143 100
#> [627,] 144 99
#> [628,] 145 98
#> [629,] 146 98
#> [630,] 147 97
#> [631,] 148 96
#> [632,] 149 95
#> [633,] 150 95
#> [634,] 151 94
#> [635,] 152 93
#> [636,] 153 93
#> [637,] 154 92
#> [638,] 155 91
#> [639,] 156 90
#> [640,] 157 90
#> [641,] 158 89
#> [642,] 159 88
#> [643,] 160 88
#> [644,] 161 87
#> [645,] 162 86
#> [646,] 163 86
#> [647,] 164 85
#> [648,] 165 84
#> [649,] 166 83
#> [650,] 167 83
#> [651,] 168 82
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#> [653,] 170 81
#> [654,] 171 80
#> [655,] 170 79
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#> [657,] 168 77
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#> [659,] 166 76
#> [660,] 165 75
#> [661,] 164 75
#> [662,] 163 74
#> [663,] 162 73
#> [664,] 161 72
#> [665,] 160 72
#> [666,] 159 71
#> [667,] 158 70
#> [668,] 157 70
#> [669,] 156 69
#> [670,] 155 68
#> [671,] 154 67
#> [672,] 153 67
#> [673,] 152 66
#> [674,] 151 65
#> [675,] 150 65
#> [676,] 149 64
#> [677,] 148 63
#> [678,] 147 63
#> [679,] 146 62
#> [680,] 145 61
#> [681,] 144 60
#> [682,] 143 60
#> [683,] 142 59
#> [684,] 141 58
#> [685,] 140 58
#> [686,] 139 57
#> [687,] 138 56
#> [688,] 137 55
#> [689,] 136 55
#> [690,] 135 54
#> [691,] 134 53
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#> [693,] 132 52
#> [694,] 131 51
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#> [696,] 129 50
#> [697,] 128 49
#> [698,] 127 48
#> [699,] 126 48
#> [700,] 125 47
#> [701,] 124 46
#> [702,] 123 46
#> [703,] 122 45
#> [704,] 121 44
#> [705,] 120 44
#> [706,] 119 43
#> [707,] 118 42
#> [708,] 117 41
#> [709,] 116 41
#> [710,] 115 40
#> [711,] 114 39
#> [712,] 113 38
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#> [716,] 109 36
#> [717,] 108 35
#> [718,] 107 34
#> [719,] 106 34
#> [720,] 105 33
#> [721,] 104 32
#> [722,] 103 31
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#> [724,] 101 30
#> [725,] 100 29
#> [726,] 99 29
#> [727,] 98 28
#> [728,] 97 27
#> [729,] 96 27
#> [730,] 95 26
#> [731,] 94 25
#> [732,] 93 24
#> [733,] 92 24
#> [734,] 91 23
#> [735,] 90 22
#> [736,] 89 22
#> [737,] 88 21
#> [738,] 87 20
#> [739,] 86 20
#> [740,] 85 19
#> [741,] 84 19
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#> [744,] 81 18
#> [745,] 80 19
#> [746,] 79 19
#> [747,] 78 20
#> [748,] 77 21
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#> [750,] 75 23
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#> [753,] 75 26
#> [754,] 75 27
#> [755,] 75 28
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#> [758,] 76 31
#> [759,] 76 32
#> [760,] 76 33
#> [761,] 77 34
#> [762,] 77 35
#> [763,] 77 36
#> [764,] 77 37
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#> [766,] 78 39
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#> [768,] 78 41
#> [769,] 79 42
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#> [777,] 81 50
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#> [780,] 81 53
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#> [782,] 82 55
#> [783,] 82 56
#> [784,] 83 57
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#> [786,] 81 58
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#> [790,] 77 59
#> [791,] 76 59
#> [792,] 75 59
#> [793,] 74 59
#> [794,] 73 59
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#> [796,] 71 59
#> [797,] 70 58
#> [798,] 69 58
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#> [801,] 66 57
#> [802,] 65 57
#> [803,] 64 56
#> [804,] 63 55
#> [805,] 63 54
#> [806,] 63 53
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#> [808,] 62 51
#> [809,] 62 50
#> [810,] 61 49
#> [811,] 61 48
#> [812,] 60 47
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#> [814,] 60 45
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#> [819,] 58 40
#> [820,] 57 39
#> [821,] 57 38
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#> [824,] 56 35
#> [825,] 55 34
#> [826,] 55 33
#> [827,] 54 32
#> [828,] 54 31
#> [829,] 53 30
#> [830,] 53 29
#> [831,] 52 28
#> [832,] 52 27
#> [833,] 51 26
#> [834,] 50 25
#> [835,] 50 24
#> [836,] 49 23
#> [837,] 49 22
#> [838,] 48 21
#> [839,] 47 20
#> [840,] 46 19
#> [841,] 46 18
#> [842,] 45 17
#> [843,] 44 16
#> [844,] 43 15
#> [845,] 42 14
#> [846,] 41 13
#> [847,] 40 12
#> [848,] 39 11
#> [849,] 38 10
#> [850,] 37 9
#> [851,] 36 8
#> [852,] 35 8
#> [853,] 34 7
#> [854,] 33 7
#> [855,] 32 6
#> [856,] 31 5
#> [857,] 30 5
#> [858,] 29 4
#> [859,] 28 4
#> [860,] 27 3
#> [861,] 26 3
#> [862,] 25 3
#> [863,] 24 2
#> [864,] 23 2
#> [865,] 22 2
#> [866,] 21 2
#> [867,] 20 1
#> [868,] 19 1
#> [869,] 18 1
#> [870,] 17 1
#> [871,] 16 1
#> [872,] 15 0
#> [873,] 14 0
#> [874,] 13 0
#> [875,] 12 0
#> [876,] 11 0
#> [877,] 10 0
#> [878,] 9 0
#> [879,] 8 0
#> [880,] 7 0
#> [881,] 6 0
#> [882,] 5 0
#> [883,] 4 0
#> [884,] 3 0
#> [885,] 2 0
#> [886,] 1 0
#> [887,] 0 0