Identifier
Identifier
Values
[1] generating graphics... => 1
[2] generating graphics... => 1
[1,1] generating graphics... => 2
[3] generating graphics... => 1
[2,1] generating graphics... => 6
[1,1,1] generating graphics... => 3
[4] generating graphics... => 1
[3,1] generating graphics... => 12
[2,2] generating graphics... => 6
[2,1,1] generating graphics... => 12
[1,1,1,1] generating graphics... => 4
[5] generating graphics... => 1
[4,1] generating graphics... => 20
[3,2] generating graphics... => 30
[3,1,1] generating graphics... => 30
[2,2,1] generating graphics... => 20
[2,1,1,1] generating graphics... => 20
[1,1,1,1,1] generating graphics... => 5
[6] generating graphics... => 1
[5,1] generating graphics... => 30
[4,2] generating graphics... => 90
[4,1,1] generating graphics... => 60
[3,3] generating graphics... => 20
[3,2,1] generating graphics... => 120
[3,1,1,1] generating graphics... => 60
[2,2,2] generating graphics... => 15
[2,2,1,1] generating graphics... => 30
[2,1,1,1,1] generating graphics... => 30
[1,1,1,1,1,1] generating graphics... => 6
[7] generating graphics... => 1
[6,1] generating graphics... => 42
[5,2] generating graphics... => 210
[5,1,1] generating graphics... => 105
[4,3] generating graphics... => 140
[4,2,1] generating graphics... => 420
[4,1,1,1] generating graphics... => 140
[3,3,1] generating graphics... => 105
[3,2,2] generating graphics... => 105
[3,2,1,1] generating graphics... => 210
[3,1,1,1,1] generating graphics... => 105
[2,2,2,1] generating graphics... => 42
[2,2,1,1,1] generating graphics... => 42
[2,1,1,1,1,1] generating graphics... => 42
[1,1,1,1,1,1,1] generating graphics... => 7
[8] generating graphics... => 1
[7,1] generating graphics... => 56
[6,2] generating graphics... => 420
[6,1,1] generating graphics... => 168
[5,3] generating graphics... => 560
[5,2,1] generating graphics... => 1120
[5,1,1,1] generating graphics... => 280
[4,4] generating graphics... => 70
[4,3,1] generating graphics... => 840
[4,2,2] generating graphics... => 420
[4,2,1,1] generating graphics... => 840
[4,1,1,1,1] generating graphics... => 280
[3,3,2] generating graphics... => 168
[3,3,1,1] generating graphics... => 168
[3,2,2,1] generating graphics... => 336
[3,2,1,1,1] generating graphics... => 336
[3,1,1,1,1,1] generating graphics... => 168
[2,2,2,2] generating graphics... => 28
[2,2,2,1,1] generating graphics... => 56
[2,2,1,1,1,1] generating graphics... => 56
[2,1,1,1,1,1,1] generating graphics... => 56
[1,1,1,1,1,1,1,1] generating graphics... => 8
[9] generating graphics... => 1
[8,1] generating graphics... => 72
[7,2] generating graphics... => 756
[7,1,1] generating graphics... => 252
[6,3] generating graphics... => 1680
[6,2,1] generating graphics... => 2520
[6,1,1,1] generating graphics... => 504
[5,4] generating graphics... => 630
[5,3,1] generating graphics... => 3780
[5,2,2] generating graphics... => 1260
[5,2,1,1] generating graphics... => 2520
[5,1,1,1,1] generating graphics... => 630
[4,4,1] generating graphics... => 504
[4,3,2] generating graphics... => 1512
[4,3,1,1] generating graphics... => 1512
[4,2,2,1] generating graphics... => 1512
[4,2,1,1,1] generating graphics... => 1512
[4,1,1,1,1,1] generating graphics... => 504
[3,3,3] generating graphics... => 84
[3,3,2,1] generating graphics... => 504
[3,3,1,1,1] generating graphics... => 252
[3,2,2,2] generating graphics... => 252
[3,2,2,1,1] generating graphics... => 504
[3,2,1,1,1,1] generating graphics... => 504
[3,1,1,1,1,1,1] generating graphics... => 252
[2,2,2,2,1] generating graphics... => 72
[2,2,2,1,1,1] generating graphics... => 72
[2,2,1,1,1,1,1] generating graphics... => 72
[2,1,1,1,1,1,1,1] generating graphics... => 72
[1,1,1,1,1,1,1,1,1] generating graphics... => 9
[10] generating graphics... => 1
[9,1] generating graphics... => 90
[8,2] generating graphics... => 1260
[8,1,1] generating graphics... => 360
[7,3] generating graphics... => 4200
[7,2,1] generating graphics... => 5040
[7,1,1,1] generating graphics... => 840
[6,4] generating graphics... => 3150
[6,3,1] generating graphics... => 12600
[6,2,2] generating graphics... => 3150
[6,2,1,1] generating graphics... => 6300
[6,1,1,1,1] generating graphics... => 1260
[5,5] generating graphics... => 252
[5,4,1] generating graphics... => 5040
[5,3,2] generating graphics... => 7560
[5,3,1,1] generating graphics... => 7560
[5,2,2,1] generating graphics... => 5040
[5,2,1,1,1] generating graphics... => 5040
[5,1,1,1,1,1] generating graphics... => 1260
[4,4,2] generating graphics... => 1260
[4,4,1,1] generating graphics... => 840
[4,3,3] generating graphics... => 840
[4,3,2,1] generating graphics... => 5040
[4,3,1,1,1] generating graphics... => 2520
[4,2,2,2] generating graphics... => 1260
[4,2,2,1,1] generating graphics... => 2520
[4,2,1,1,1,1] generating graphics... => 2520
[4,1,1,1,1,1,1] generating graphics... => 840
[3,3,3,1] generating graphics... => 360
[3,3,2,2] generating graphics... => 360
[3,3,2,1,1] generating graphics... => 720
[3,3,1,1,1,1] generating graphics... => 360
[3,2,2,2,1] generating graphics... => 720
[3,2,2,1,1,1] generating graphics... => 720
[3,2,1,1,1,1,1] generating graphics... => 720
[3,1,1,1,1,1,1,1] generating graphics... => 360
[2,2,2,2,2] generating graphics... => 45
[2,2,2,2,1,1] generating graphics... => 90
[2,2,2,1,1,1,1] generating graphics... => 90
[2,2,1,1,1,1,1,1] generating graphics... => 90
[2,1,1,1,1,1,1,1,1] generating graphics... => 90
[1,1,1,1,1,1,1,1,1,1] generating graphics... => 10
[11] generating graphics... => 1
[10,1] generating graphics... => 110
[9,2] generating graphics... => 1980
[9,1,1] generating graphics... => 495
[8,3] generating graphics... => 9240
[8,2,1] generating graphics... => 9240
[8,1,1,1] generating graphics... => 1320
[7,4] generating graphics... => 11550
[7,3,1] generating graphics... => 34650
[7,2,2] generating graphics... => 6930
[7,2,1,1] generating graphics... => 13860
[7,1,1,1,1] generating graphics... => 2310
[6,5] generating graphics... => 2772
[6,4,1] generating graphics... => 27720
[6,3,2] generating graphics... => 27720
[6,3,1,1] generating graphics... => 27720
[6,2,2,1] generating graphics... => 13860
[6,2,1,1,1] generating graphics... => 13860
[6,1,1,1,1,1] generating graphics... => 2772
[5,5,1] generating graphics... => 2310
[5,4,2] generating graphics... => 13860
[5,4,1,1] generating graphics... => 9240
[5,3,3] generating graphics... => 4620
[5,3,2,1] generating graphics... => 27720
[5,3,1,1,1] generating graphics... => 13860
[5,2,2,2] generating graphics... => 4620
[5,2,2,1,1] generating graphics... => 9240
[5,2,1,1,1,1] generating graphics... => 9240
[5,1,1,1,1,1,1] generating graphics... => 2310
[4,4,3] generating graphics... => 1320
[4,4,2,1] generating graphics... => 3960
[4,4,1,1,1] generating graphics... => 1320
[4,3,3,1] generating graphics... => 3960
[4,3,2,2] generating graphics... => 3960
[4,3,2,1,1] generating graphics... => 7920
[4,3,1,1,1,1] generating graphics... => 3960
[4,2,2,2,1] generating graphics... => 3960
[4,2,2,1,1,1] generating graphics... => 3960
[4,2,1,1,1,1,1] generating graphics... => 3960
[4,1,1,1,1,1,1,1] generating graphics... => 1320
[3,3,3,2] generating graphics... => 495
[3,3,3,1,1] generating graphics... => 495
[3,3,2,2,1] generating graphics... => 990
[3,3,2,1,1,1] generating graphics... => 990
[3,3,1,1,1,1,1] generating graphics... => 495
[3,2,2,2,2] generating graphics... => 495
[3,2,2,2,1,1] generating graphics... => 990
[3,2,2,1,1,1,1] generating graphics... => 990
[3,2,1,1,1,1,1,1] generating graphics... => 990
[3,1,1,1,1,1,1,1,1] generating graphics... => 495
[2,2,2,2,2,1] generating graphics... => 110
[2,2,2,2,1,1,1] generating graphics... => 110
[2,2,2,1,1,1,1,1] generating graphics... => 110
[2,2,1,1,1,1,1,1,1] generating graphics... => 110
[2,1,1,1,1,1,1,1,1,1] generating graphics... => 110
[1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 11
[12] generating graphics... => 1
[11,1] generating graphics... => 132
[10,2] generating graphics... => 2970
[10,1,1] generating graphics... => 660
[9,3] generating graphics... => 18480
[9,2,1] generating graphics... => 15840
[9,1,1,1] generating graphics... => 1980
[8,4] generating graphics... => 34650
[8,3,1] generating graphics... => 83160
[8,2,2] generating graphics... => 13860
[8,2,1,1] generating graphics... => 27720
[8,1,1,1,1] generating graphics... => 3960
[7,5] generating graphics... => 16632
[7,4,1] generating graphics... => 110880
[7,3,2] generating graphics... => 83160
[7,3,1,1] generating graphics... => 83160
[7,2,2,1] generating graphics... => 33264
[7,2,1,1,1] generating graphics... => 33264
[7,1,1,1,1,1] generating graphics... => 5544
[6,6] generating graphics... => 924
[6,5,1] generating graphics... => 27720
[6,4,2] generating graphics... => 83160
[6,4,1,1] generating graphics... => 55440
[6,3,3] generating graphics... => 18480
[6,3,2,1] generating graphics... => 110880
[6,3,1,1,1] generating graphics... => 55440
[6,2,2,2] generating graphics... => 13860
[6,2,2,1,1] generating graphics... => 27720
[6,2,1,1,1,1] generating graphics... => 27720
[6,1,1,1,1,1,1] generating graphics... => 5544
[5,5,2] generating graphics... => 7920
[5,5,1,1] generating graphics... => 3960
[5,4,3] generating graphics... => 15840
[5,4,2,1] generating graphics... => 47520
[5,4,1,1,1] generating graphics... => 15840
[5,3,3,1] generating graphics... => 23760
[5,3,2,2] generating graphics... => 23760
[5,3,2,1,1] generating graphics... => 47520
[5,3,1,1,1,1] generating graphics... => 23760
[5,2,2,2,1] generating graphics... => 15840
[5,2,2,1,1,1] generating graphics... => 15840
[5,2,1,1,1,1,1] generating graphics... => 15840
[5,1,1,1,1,1,1,1] generating graphics... => 3960
[4,4,4] generating graphics... => 495
[4,4,3,1] generating graphics... => 5940
[4,4,2,2] generating graphics... => 2970
[4,4,2,1,1] generating graphics... => 5940
[4,4,1,1,1,1] generating graphics... => 1980
[4,3,3,2] generating graphics... => 5940
[4,3,3,1,1] generating graphics... => 5940
[4,3,2,2,1] generating graphics... => 11880
[4,3,2,1,1,1] generating graphics... => 11880
[4,3,1,1,1,1,1] generating graphics... => 5940
[4,2,2,2,2] generating graphics... => 2970
[4,2,2,2,1,1] generating graphics... => 5940
[4,2,2,1,1,1,1] generating graphics... => 5940
[4,2,1,1,1,1,1,1] generating graphics... => 5940
[4,1,1,1,1,1,1,1,1] generating graphics... => 1980
[3,3,3,3] generating graphics... => 220
[3,3,3,2,1] generating graphics... => 1320
[3,3,3,1,1,1] generating graphics... => 660
[3,3,2,2,2] generating graphics... => 660
[3,3,2,2,1,1] generating graphics... => 1320
[3,3,2,1,1,1,1] generating graphics... => 1320
[3,3,1,1,1,1,1,1] generating graphics... => 660
[3,2,2,2,2,1] generating graphics... => 1320
[3,2,2,2,1,1,1] generating graphics... => 1320
[3,2,2,1,1,1,1,1] generating graphics... => 1320
[3,2,1,1,1,1,1,1,1] generating graphics... => 1320
[3,1,1,1,1,1,1,1,1,1] generating graphics... => 660
[2,2,2,2,2,2] generating graphics... => 66
[2,2,2,2,2,1,1] generating graphics... => 132
[2,2,2,2,1,1,1,1] generating graphics... => 132
[2,2,2,1,1,1,1,1,1] generating graphics... => 132
[2,2,1,1,1,1,1,1,1,1] generating graphics... => 132
[2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 132
[1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 12
[13] generating graphics... => 1
[12,1] generating graphics... => 156
[11,2] generating graphics... => 4290
[11,1,1] generating graphics... => 858
[10,3] generating graphics... => 34320
[10,2,1] generating graphics... => 25740
[10,1,1,1] generating graphics... => 2860
[9,4] generating graphics... => 90090
[9,3,1] generating graphics... => 180180
[9,2,2] generating graphics... => 25740
[9,2,1,1] generating graphics... => 51480
[9,1,1,1,1] generating graphics... => 6435
[8,5] generating graphics... => 72072
[8,4,1] generating graphics... => 360360
[8,3,2] generating graphics... => 216216
[8,3,1,1] generating graphics... => 216216
[8,2,2,1] generating graphics... => 72072
[8,2,1,1,1] generating graphics... => 72072
[8,1,1,1,1,1] generating graphics... => 10296
[7,6] generating graphics... => 12012
[7,5,1] generating graphics... => 180180
[7,4,2] generating graphics... => 360360
[7,4,1,1] generating graphics... => 240240
[7,3,3] generating graphics... => 60060
[7,3,2,1] generating graphics... => 360360
[7,3,1,1,1] generating graphics... => 180180
[7,2,2,2] generating graphics... => 36036
[7,2,2,1,1] generating graphics... => 72072
[7,2,1,1,1,1] generating graphics... => 72072
[7,1,1,1,1,1,1] generating graphics... => 12012
[6,6,1] generating graphics... => 10296
[6,5,2] generating graphics... => 102960
[6,5,1,1] generating graphics... => 51480
[6,4,3] generating graphics... => 102960
[6,4,2,1] generating graphics... => 308880
[6,4,1,1,1] generating graphics... => 102960
[6,3,3,1] generating graphics... => 102960
[6,3,2,2] generating graphics... => 102960
[6,3,2,1,1] generating graphics... => 205920
[6,3,1,1,1,1] generating graphics... => 102960
[6,2,2,2,1] generating graphics... => 51480
[6,2,2,1,1,1] generating graphics... => 51480
[6,2,1,1,1,1,1] generating graphics... => 51480
[6,1,1,1,1,1,1,1] generating graphics... => 10296
[5,5,3] generating graphics... => 12870
[5,5,2,1] generating graphics... => 25740
[5,5,1,1,1] generating graphics... => 6435
[5,4,4] generating graphics... => 6435
[5,4,3,1] generating graphics... => 77220
[5,4,2,2] generating graphics... => 38610
[5,4,2,1,1] generating graphics... => 77220
[5,4,1,1,1,1] generating graphics... => 25740
[5,3,3,2] generating graphics... => 38610
[5,3,3,1,1] generating graphics... => 38610
[5,3,2,2,1] generating graphics... => 77220
[5,3,2,1,1,1] generating graphics... => 77220
[5,3,1,1,1,1,1] generating graphics... => 38610
[5,2,2,2,2] generating graphics... => 12870
[5,2,2,2,1,1] generating graphics... => 25740
[5,2,2,1,1,1,1] generating graphics... => 25740
[5,2,1,1,1,1,1,1] generating graphics... => 25740
[5,1,1,1,1,1,1,1,1] generating graphics... => 6435
[4,4,4,1] generating graphics... => 2860
[4,4,3,2] generating graphics... => 8580
[4,4,3,1,1] generating graphics... => 8580
[4,4,2,2,1] generating graphics... => 8580
[4,4,2,1,1,1] generating graphics... => 8580
[4,4,1,1,1,1,1] generating graphics... => 2860
[4,3,3,3] generating graphics... => 2860
[4,3,3,2,1] generating graphics... => 17160
[4,3,3,1,1,1] generating graphics... => 8580
[4,3,2,2,2] generating graphics... => 8580
[4,3,2,2,1,1] generating graphics... => 17160
[4,3,2,1,1,1,1] generating graphics... => 17160
[4,3,1,1,1,1,1,1] generating graphics... => 8580
[4,2,2,2,2,1] generating graphics... => 8580
[4,2,2,2,1,1,1] generating graphics... => 8580
[4,2,2,1,1,1,1,1] generating graphics... => 8580
[4,2,1,1,1,1,1,1,1] generating graphics... => 8580
[4,1,1,1,1,1,1,1,1,1] generating graphics... => 2860
[3,3,3,3,1] generating graphics... => 858
[3,3,3,2,2] generating graphics... => 858
[3,3,3,2,1,1] generating graphics... => 1716
[3,3,3,1,1,1,1] generating graphics... => 858
[3,3,2,2,2,1] generating graphics... => 1716
[3,3,2,2,1,1,1] generating graphics... => 1716
[3,3,2,1,1,1,1,1] generating graphics... => 1716
[3,3,1,1,1,1,1,1,1] generating graphics... => 858
[3,2,2,2,2,2] generating graphics... => 858
[3,2,2,2,2,1,1] generating graphics... => 1716
[3,2,2,2,1,1,1,1] generating graphics... => 1716
[3,2,2,1,1,1,1,1,1] generating graphics... => 1716
[3,2,1,1,1,1,1,1,1,1] generating graphics... => 1716
[3,1,1,1,1,1,1,1,1,1,1] generating graphics... => 858
[2,2,2,2,2,2,1] generating graphics... => 156
[2,2,2,2,2,1,1,1] generating graphics... => 156
[2,2,2,2,1,1,1,1,1] generating graphics... => 156
[2,2,2,1,1,1,1,1,1,1] generating graphics... => 156
[2,2,1,1,1,1,1,1,1,1,1] generating graphics... => 156
[2,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 156
[1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 13
[14] generating graphics... => 1
[13,1] generating graphics... => 182
[12,2] generating graphics... => 6006
[12,1,1] generating graphics... => 1092
[11,3] generating graphics... => 60060
[11,2,1] generating graphics... => 40040
[11,1,1,1] generating graphics... => 4004
[10,4] generating graphics... => 210210
[10,3,1] generating graphics... => 360360
[10,2,2] generating graphics... => 45045
[10,2,1,1] generating graphics... => 90090
[10,1,1,1,1] generating graphics... => 10010
[9,5] generating graphics... => 252252
[9,4,1] generating graphics... => 1009008
[9,3,2] generating graphics... => 504504
[9,3,1,1] generating graphics... => 504504
[9,2,2,1] generating graphics... => 144144
[9,2,1,1,1] generating graphics... => 144144
[9,1,1,1,1,1] generating graphics... => 18018
[8,6] generating graphics... => 84084
[8,5,1] generating graphics... => 840840
[8,4,2] generating graphics... => 1261260
[8,4,1,1] generating graphics... => 840840
[8,3,3] generating graphics... => 168168
[8,3,2,1] generating graphics... => 1009008
[8,3,1,1,1] generating graphics... => 504504
[8,2,2,2] generating graphics... => 84084
[8,2,2,1,1] generating graphics... => 168168
[8,2,1,1,1,1] generating graphics... => 168168
[8,1,1,1,1,1,1] generating graphics... => 24024
[7,7] generating graphics... => 3432
[7,6,1] generating graphics... => 144144
[7,5,2] generating graphics... => 720720
[7,5,1,1] generating graphics... => 360360
[7,4,3] generating graphics... => 480480
[7,4,2,1] generating graphics... => 1441440
[7,4,1,1,1] generating graphics... => 480480
[7,3,3,1] generating graphics... => 360360
[7,3,2,2] generating graphics... => 360360
[7,3,2,1,1] generating graphics... => 720720
[7,3,1,1,1,1] generating graphics... => 360360
[7,2,2,2,1] generating graphics... => 144144
[7,2,2,1,1,1] generating graphics... => 144144
[7,2,1,1,1,1,1] generating graphics... => 144144
[7,1,1,1,1,1,1,1] generating graphics... => 24024
[6,6,2] generating graphics... => 45045
[6,6,1,1] generating graphics... => 18018
[6,5,3] generating graphics... => 180180
[6,5,2,1] generating graphics... => 360360
[6,5,1,1,1] generating graphics... => 90090
[6,4,4] generating graphics... => 45045
[6,4,3,1] generating graphics... => 540540
[6,4,2,2] generating graphics... => 270270
[6,4,2,1,1] generating graphics... => 540540
[6,4,1,1,1,1] generating graphics... => 180180
[6,3,3,2] generating graphics... => 180180
[6,3,3,1,1] generating graphics... => 180180
[6,3,2,2,1] generating graphics... => 360360
[6,3,2,1,1,1] generating graphics... => 360360
[6,3,1,1,1,1,1] generating graphics... => 180180
[6,2,2,2,2] generating graphics... => 45045
[6,2,2,2,1,1] generating graphics... => 90090
[6,2,2,1,1,1,1] generating graphics... => 90090
[6,2,1,1,1,1,1,1] generating graphics... => 90090
[6,1,1,1,1,1,1,1,1] generating graphics... => 18018
[5,5,4] generating graphics... => 10010
[5,5,3,1] generating graphics... => 60060
[5,5,2,2] generating graphics... => 20020
[5,5,2,1,1] generating graphics... => 40040
[5,5,1,1,1,1] generating graphics... => 10010
[5,4,4,1] generating graphics... => 40040
[5,4,3,2] generating graphics... => 120120
[5,4,3,1,1] generating graphics... => 120120
[5,4,2,2,1] generating graphics... => 120120
[5,4,2,1,1,1] generating graphics... => 120120
[5,4,1,1,1,1,1] generating graphics... => 40040
[5,3,3,3] generating graphics... => 20020
[5,3,3,2,1] generating graphics... => 120120
[5,3,3,1,1,1] generating graphics... => 60060
[5,3,2,2,2] generating graphics... => 60060
[5,3,2,2,1,1] generating graphics... => 120120
[5,3,2,1,1,1,1] generating graphics... => 120120
[5,3,1,1,1,1,1,1] generating graphics... => 60060
[5,2,2,2,2,1] generating graphics... => 40040
[5,2,2,2,1,1,1] generating graphics... => 40040
[5,2,2,1,1,1,1,1] generating graphics... => 40040
[5,2,1,1,1,1,1,1,1] generating graphics... => 40040
[5,1,1,1,1,1,1,1,1,1] generating graphics... => 10010
[4,4,4,2] generating graphics... => 6006
[4,4,4,1,1] generating graphics... => 4004
[4,4,3,3] generating graphics... => 4004
[4,4,3,2,1] generating graphics... => 24024
[4,4,3,1,1,1] generating graphics... => 12012
[4,4,2,2,2] generating graphics... => 6006
[4,4,2,2,1,1] generating graphics... => 12012
[4,4,2,1,1,1,1] generating graphics... => 12012
[4,4,1,1,1,1,1,1] generating graphics... => 4004
[4,3,3,3,1] generating graphics... => 12012
[4,3,3,2,2] generating graphics... => 12012
[4,3,3,2,1,1] generating graphics... => 24024
[4,3,3,1,1,1,1] generating graphics... => 12012
[4,3,2,2,2,1] generating graphics... => 24024
[4,3,2,2,1,1,1] generating graphics... => 24024
[4,3,2,1,1,1,1,1] generating graphics... => 24024
[4,3,1,1,1,1,1,1,1] generating graphics... => 12012
[4,2,2,2,2,2] generating graphics... => 6006
[4,2,2,2,2,1,1] generating graphics... => 12012
[4,2,2,2,1,1,1,1] generating graphics... => 12012
[4,2,2,1,1,1,1,1,1] generating graphics... => 12012
[4,2,1,1,1,1,1,1,1,1] generating graphics... => 12012
[4,1,1,1,1,1,1,1,1,1,1] generating graphics... => 4004
[3,3,3,3,2] generating graphics... => 1092
[3,3,3,3,1,1] generating graphics... => 1092
[3,3,3,2,2,1] generating graphics... => 2184
[3,3,3,2,1,1,1] generating graphics... => 2184
[3,3,3,1,1,1,1,1] generating graphics... => 1092
[3,3,2,2,2,2] generating graphics... => 1092
[3,3,2,2,2,1,1] generating graphics... => 2184
[3,3,2,2,1,1,1,1] generating graphics... => 2184
[3,3,2,1,1,1,1,1,1] generating graphics... => 2184
[3,3,1,1,1,1,1,1,1,1] generating graphics... => 1092
[3,2,2,2,2,2,1] generating graphics... => 2184
[3,2,2,2,2,1,1,1] generating graphics... => 2184
[3,2,2,2,1,1,1,1,1] generating graphics... => 2184
[3,2,2,1,1,1,1,1,1,1] generating graphics... => 2184
[3,2,1,1,1,1,1,1,1,1,1] generating graphics... => 2184
[3,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1092
[2,2,2,2,2,2,2] generating graphics... => 91
[2,2,2,2,2,2,1,1] generating graphics... => 182
[2,2,2,2,2,1,1,1,1] generating graphics... => 182
[2,2,2,2,1,1,1,1,1,1] generating graphics... => 182
[2,2,2,1,1,1,1,1,1,1,1] generating graphics... => 182
[2,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 182
[2,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 182
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 14
[15] generating graphics... => 1
[14,1] generating graphics... => 210
[13,2] generating graphics... => 8190
[13,1,1] generating graphics... => 1365
[12,3] generating graphics... => 100100
[12,2,1] generating graphics... => 60060
[12,1,1,1] generating graphics... => 5460
[11,4] generating graphics... => 450450
[11,3,1] generating graphics... => 675675
[11,2,2] generating graphics... => 75075
[11,2,1,1] generating graphics... => 150150
[11,1,1,1,1] generating graphics... => 15015
[10,5] generating graphics... => 756756
[10,4,1] generating graphics... => 2522520
[10,3,2] generating graphics... => 1081080
[10,3,1,1] generating graphics... => 1081080
[10,2,2,1] generating graphics... => 270270
[10,2,1,1,1] generating graphics... => 270270
[10,1,1,1,1,1] generating graphics... => 30030
[9,6] generating graphics... => 420420
[9,5,1] generating graphics... => 3153150
[9,4,2] generating graphics... => 3783780
[9,4,1,1] generating graphics... => 2522520
[9,3,3] generating graphics... => 420420
[9,3,2,1] generating graphics... => 2522520
[9,3,1,1,1] generating graphics... => 1261260
[9,2,2,2] generating graphics... => 180180
[9,2,2,1,1] generating graphics... => 360360
[9,2,1,1,1,1] generating graphics... => 360360
[9,1,1,1,1,1,1] generating graphics... => 45045
[8,7] generating graphics... => 51480
[8,6,1] generating graphics... => 1081080
[8,5,2] generating graphics... => 3603600
[8,5,1,1] generating graphics... => 1801800
[8,4,3] generating graphics... => 1801800
[8,4,2,1] generating graphics... => 5405400
[8,4,1,1,1] generating graphics... => 1801800
[8,3,3,1] generating graphics... => 1081080
[8,3,2,2] generating graphics... => 1081080
[8,3,2,1,1] generating graphics... => 2162160
[8,3,1,1,1,1] generating graphics... => 1081080
[8,2,2,2,1] generating graphics... => 360360
[8,2,2,1,1,1] generating graphics... => 360360
[8,2,1,1,1,1,1] generating graphics... => 360360
[8,1,1,1,1,1,1,1] generating graphics... => 51480
[7,7,1] generating graphics... => 45045
[7,6,2] generating graphics... => 675675
[7,6,1,1] generating graphics... => 270270
[7,5,3] generating graphics... => 1351350
[7,5,2,1] generating graphics... => 2702700
[7,5,1,1,1] generating graphics... => 675675
[7,4,4] generating graphics... => 225225
[7,4,3,1] generating graphics... => 2702700
[7,4,2,2] generating graphics... => 1351350
[7,4,2,1,1] generating graphics... => 2702700
[7,4,1,1,1,1] generating graphics... => 900900
[7,3,3,2] generating graphics... => 675675
[7,3,3,1,1] generating graphics... => 675675
[7,3,2,2,1] generating graphics... => 1351350
[7,3,2,1,1,1] generating graphics... => 1351350
[7,3,1,1,1,1,1] generating graphics... => 675675
[7,2,2,2,2] generating graphics... => 135135
[7,2,2,2,1,1] generating graphics... => 270270
[7,2,2,1,1,1,1] generating graphics... => 270270
[7,2,1,1,1,1,1,1] generating graphics... => 270270
[7,1,1,1,1,1,1,1,1] generating graphics... => 45045
[6,6,3] generating graphics... => 100100
[6,6,2,1] generating graphics... => 150150
[6,6,1,1,1] generating graphics... => 30030
[6,5,4] generating graphics... => 150150
[6,5,3,1] generating graphics... => 900900
[6,5,2,2] generating graphics... => 300300
[6,5,2,1,1] generating graphics... => 600600
[6,5,1,1,1,1] generating graphics... => 150150
[6,4,4,1] generating graphics... => 300300
[6,4,3,2] generating graphics... => 900900
[6,4,3,1,1] generating graphics... => 900900
[6,4,2,2,1] generating graphics... => 900900
[6,4,2,1,1,1] generating graphics... => 900900
[6,4,1,1,1,1,1] generating graphics... => 300300
[6,3,3,3] generating graphics... => 100100
[6,3,3,2,1] generating graphics... => 600600
[6,3,3,1,1,1] generating graphics... => 300300
[6,3,2,2,2] generating graphics... => 300300
[6,3,2,2,1,1] generating graphics... => 600600
[6,3,2,1,1,1,1] generating graphics... => 600600
[6,3,1,1,1,1,1,1] generating graphics... => 300300
[6,2,2,2,2,1] generating graphics... => 150150
[6,2,2,2,1,1,1] generating graphics... => 150150
[6,2,2,1,1,1,1,1] generating graphics... => 150150
[6,2,1,1,1,1,1,1,1] generating graphics... => 150150
[6,1,1,1,1,1,1,1,1,1] generating graphics... => 30030
[5,5,5] generating graphics... => 3003
[5,5,4,1] generating graphics... => 60060
[5,5,3,2] generating graphics... => 90090
[5,5,3,1,1] generating graphics... => 90090
[5,5,2,2,1] generating graphics... => 60060
[5,5,2,1,1,1] generating graphics... => 60060
[5,5,1,1,1,1,1] generating graphics... => 15015
[5,4,4,2] generating graphics... => 90090
[5,4,4,1,1] generating graphics... => 60060
[5,4,3,3] generating graphics... => 60060
[5,4,3,2,1] generating graphics... => 360360
[5,4,3,1,1,1] generating graphics... => 180180
[5,4,2,2,2] generating graphics... => 90090
[5,4,2,2,1,1] generating graphics... => 180180
[5,4,2,1,1,1,1] generating graphics... => 180180
[5,4,1,1,1,1,1,1] generating graphics... => 60060
[5,3,3,3,1] generating graphics... => 90090
[5,3,3,2,2] generating graphics... => 90090
[5,3,3,2,1,1] generating graphics... => 180180
[5,3,3,1,1,1,1] generating graphics... => 90090
[5,3,2,2,2,1] generating graphics... => 180180
[5,3,2,2,1,1,1] generating graphics... => 180180
[5,3,2,1,1,1,1,1] generating graphics... => 180180
[5,3,1,1,1,1,1,1,1] generating graphics... => 90090
[5,2,2,2,2,2] generating graphics... => 30030
[5,2,2,2,2,1,1] generating graphics... => 60060
[5,2,2,2,1,1,1,1] generating graphics... => 60060
[5,2,2,1,1,1,1,1,1] generating graphics... => 60060
[5,2,1,1,1,1,1,1,1,1] generating graphics... => 60060
[5,1,1,1,1,1,1,1,1,1,1] generating graphics... => 15015
[4,4,4,3] generating graphics... => 5460
[4,4,4,2,1] generating graphics... => 16380
[4,4,4,1,1,1] generating graphics... => 5460
[4,4,3,3,1] generating graphics... => 16380
[4,4,3,2,2] generating graphics... => 16380
[4,4,3,2,1,1] generating graphics... => 32760
[4,4,3,1,1,1,1] generating graphics... => 16380
[4,4,2,2,2,1] generating graphics... => 16380
[4,4,2,2,1,1,1] generating graphics... => 16380
[4,4,2,1,1,1,1,1] generating graphics... => 16380
[4,4,1,1,1,1,1,1,1] generating graphics... => 5460
[4,3,3,3,2] generating graphics... => 16380
[4,3,3,3,1,1] generating graphics... => 16380
[4,3,3,2,2,1] generating graphics... => 32760
[4,3,3,2,1,1,1] generating graphics... => 32760
[4,3,3,1,1,1,1,1] generating graphics... => 16380
[4,3,2,2,2,2] generating graphics... => 16380
[4,3,2,2,2,1,1] generating graphics... => 32760
[4,3,2,2,1,1,1,1] generating graphics... => 32760
[4,3,2,1,1,1,1,1,1] generating graphics... => 32760
[4,3,1,1,1,1,1,1,1,1] generating graphics... => 16380
[4,2,2,2,2,2,1] generating graphics... => 16380
[4,2,2,2,2,1,1,1] generating graphics... => 16380
[4,2,2,2,1,1,1,1,1] generating graphics... => 16380
[4,2,2,1,1,1,1,1,1,1] generating graphics... => 16380
[4,2,1,1,1,1,1,1,1,1,1] generating graphics... => 16380
[4,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 5460
[3,3,3,3,3] generating graphics... => 455
[3,3,3,3,2,1] generating graphics... => 2730
[3,3,3,3,1,1,1] generating graphics... => 1365
[3,3,3,2,2,2] generating graphics... => 1365
[3,3,3,2,2,1,1] generating graphics... => 2730
[3,3,3,2,1,1,1,1] generating graphics... => 2730
[3,3,3,1,1,1,1,1,1] generating graphics... => 1365
[3,3,2,2,2,2,1] generating graphics... => 2730
[3,3,2,2,2,1,1,1] generating graphics... => 2730
[3,3,2,2,1,1,1,1,1] generating graphics... => 2730
[3,3,2,1,1,1,1,1,1,1] generating graphics... => 2730
[3,3,1,1,1,1,1,1,1,1,1] generating graphics... => 1365
[3,2,2,2,2,2,2] generating graphics... => 1365
[3,2,2,2,2,2,1,1] generating graphics... => 2730
[3,2,2,2,2,1,1,1,1] generating graphics... => 2730
[3,2,2,2,1,1,1,1,1,1] generating graphics... => 2730
[3,2,2,1,1,1,1,1,1,1,1] generating graphics... => 2730
[3,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 2730
[3,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1365
[2,2,2,2,2,2,2,1] generating graphics... => 210
[2,2,2,2,2,2,1,1,1] generating graphics... => 210
[2,2,2,2,2,1,1,1,1,1] generating graphics... => 210
[2,2,2,2,1,1,1,1,1,1,1] generating graphics... => 210
[2,2,2,1,1,1,1,1,1,1,1,1] generating graphics... => 210
[2,2,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 210
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 210
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 15
[16] generating graphics... => 1
[15,1] generating graphics... => 240
[14,2] generating graphics... => 10920
[14,1,1] generating graphics... => 1680
[13,3] generating graphics... => 160160
[13,2,1] generating graphics... => 87360
[13,1,1,1] generating graphics... => 7280
[12,4] generating graphics... => 900900
[12,3,1] generating graphics... => 1201200
[12,2,2] generating graphics... => 120120
[12,2,1,1] generating graphics... => 240240
[12,1,1,1,1] generating graphics... => 21840
[11,5] generating graphics... => 2018016
[11,4,1] generating graphics... => 5765760
[11,3,2] generating graphics... => 2162160
[11,3,1,1] generating graphics... => 2162160
[11,2,2,1] generating graphics... => 480480
[11,2,1,1,1] generating graphics... => 480480
[11,1,1,1,1,1] generating graphics... => 48048
[10,6] generating graphics... => 1681680
[10,5,1] generating graphics... => 10090080
[10,4,2] generating graphics... => 10090080
[10,4,1,1] generating graphics... => 6726720
[10,3,3] generating graphics... => 960960
[10,3,2,1] generating graphics... => 5765760
[10,3,1,1,1] generating graphics... => 2882880
[10,2,2,2] generating graphics... => 360360
[10,2,2,1,1] generating graphics... => 720720
[10,2,1,1,1,1] generating graphics... => 720720
[10,1,1,1,1,1,1] generating graphics... => 80080
[9,7] generating graphics... => 411840
[9,6,1] generating graphics... => 5765760
[9,5,2] generating graphics... => 14414400
[9,5,1,1] generating graphics... => 7207200
[9,4,3] generating graphics... => 5765760
[9,4,2,1] generating graphics... => 17297280
[9,4,1,1,1] generating graphics... => 5765760
[9,3,3,1] generating graphics... => 2882880
[9,3,2,2] generating graphics... => 2882880
[9,3,2,1,1] generating graphics... => 5765760
[9,3,1,1,1,1] generating graphics... => 2882880
[9,2,2,2,1] generating graphics... => 823680
[9,2,2,1,1,1] generating graphics... => 823680
[9,2,1,1,1,1,1] generating graphics... => 823680
[9,1,1,1,1,1,1,1] generating graphics... => 102960
[8,8] generating graphics... => 12870
[8,7,1] generating graphics... => 720720
[8,6,2] generating graphics... => 5405400
[8,6,1,1] generating graphics... => 2162160
[8,5,3] generating graphics... => 7207200
[8,5,2,1] generating graphics... => 14414400
[8,5,1,1,1] generating graphics... => 3603600
[8,4,4] generating graphics... => 900900
[8,4,3,1] generating graphics... => 10810800
[8,4,2,2] generating graphics... => 5405400
[8,4,2,1,1] generating graphics... => 10810800
[8,4,1,1,1,1] generating graphics... => 3603600
[8,3,3,2] generating graphics... => 2162160
[8,3,3,1,1] generating graphics... => 2162160
[8,3,2,2,1] generating graphics... => 4324320
[8,3,2,1,1,1] generating graphics... => 4324320
[8,3,1,1,1,1,1] generating graphics... => 2162160
[8,2,2,2,2] generating graphics... => 360360
[8,2,2,2,1,1] generating graphics... => 720720
[8,2,2,1,1,1,1] generating graphics... => 720720
[8,2,1,1,1,1,1,1] generating graphics... => 720720
[8,1,1,1,1,1,1,1,1] generating graphics... => 102960
[7,7,2] generating graphics... => 240240
[7,7,1,1] generating graphics... => 80080
[7,6,3] generating graphics... => 1601600
[7,6,2,1] generating graphics... => 2402400
[7,6,1,1,1] generating graphics... => 480480
[7,5,4] generating graphics... => 1201200
[7,5,3,1] generating graphics... => 7207200
[7,5,2,2] generating graphics... => 2402400
[7,5,2,1,1] generating graphics... => 4804800
[7,5,1,1,1,1] generating graphics... => 1201200
[7,4,4,1] generating graphics... => 1601600
[7,4,3,2] generating graphics... => 4804800
[7,4,3,1,1] generating graphics... => 4804800
[7,4,2,2,1] generating graphics... => 4804800
[7,4,2,1,1,1] generating graphics... => 4804800
[7,4,1,1,1,1,1] generating graphics... => 1601600
[7,3,3,3] generating graphics... => 400400
[7,3,3,2,1] generating graphics... => 2402400
[7,3,3,1,1,1] generating graphics... => 1201200
[7,3,2,2,2] generating graphics... => 1201200
[7,3,2,2,1,1] generating graphics... => 2402400
[7,3,2,1,1,1,1] generating graphics... => 2402400
[7,3,1,1,1,1,1,1] generating graphics... => 1201200
[7,2,2,2,2,1] generating graphics... => 480480
[7,2,2,2,1,1,1] generating graphics... => 480480
[7,2,2,1,1,1,1,1] generating graphics... => 480480
[7,2,1,1,1,1,1,1,1] generating graphics... => 480480
[7,1,1,1,1,1,1,1,1,1] generating graphics... => 80080
[6,6,4] generating graphics... => 120120
[6,6,3,1] generating graphics... => 480480
[6,6,2,2] generating graphics... => 120120
[6,6,2,1,1] generating graphics... => 240240
[6,6,1,1,1,1] generating graphics... => 48048
[6,5,5] generating graphics... => 48048
[6,5,4,1] generating graphics... => 960960
[6,5,3,2] generating graphics... => 1441440
[6,5,3,1,1] generating graphics... => 1441440
[6,5,2,2,1] generating graphics... => 960960
[6,5,2,1,1,1] generating graphics... => 960960
[6,5,1,1,1,1,1] generating graphics... => 240240
[6,4,4,2] generating graphics... => 720720
[6,4,4,1,1] generating graphics... => 480480
[6,4,3,3] generating graphics... => 480480
[6,4,3,2,1] generating graphics... => 2882880
[6,4,3,1,1,1] generating graphics... => 1441440
[6,4,2,2,2] generating graphics... => 720720
[6,4,2,2,1,1] generating graphics... => 1441440
[6,4,2,1,1,1,1] generating graphics... => 1441440
[6,4,1,1,1,1,1,1] generating graphics... => 480480
[6,3,3,3,1] generating graphics... => 480480
[6,3,3,2,2] generating graphics... => 480480
[6,3,3,2,1,1] generating graphics... => 960960
[6,3,3,1,1,1,1] generating graphics... => 480480
[6,3,2,2,2,1] generating graphics... => 960960
[6,3,2,2,1,1,1] generating graphics... => 960960
[6,3,2,1,1,1,1,1] generating graphics... => 960960
[6,3,1,1,1,1,1,1,1] generating graphics... => 480480
[6,2,2,2,2,2] generating graphics... => 120120
[6,2,2,2,2,1,1] generating graphics... => 240240
[6,2,2,2,1,1,1,1] generating graphics... => 240240
[6,2,2,1,1,1,1,1,1] generating graphics... => 240240
[6,2,1,1,1,1,1,1,1,1] generating graphics... => 240240
[6,1,1,1,1,1,1,1,1,1,1] generating graphics... => 48048
[5,5,5,1] generating graphics... => 21840
[5,5,4,2] generating graphics... => 131040
[5,5,4,1,1] generating graphics... => 87360
[5,5,3,3] generating graphics... => 43680
[5,5,3,2,1] generating graphics... => 262080
[5,5,3,1,1,1] generating graphics... => 131040
[5,5,2,2,2] generating graphics... => 43680
[5,5,2,2,1,1] generating graphics... => 87360
[5,5,2,1,1,1,1] generating graphics... => 87360
[5,5,1,1,1,1,1,1] generating graphics... => 21840
[5,4,4,3] generating graphics... => 87360
[5,4,4,2,1] generating graphics... => 262080
[5,4,4,1,1,1] generating graphics... => 87360
[5,4,3,3,1] generating graphics... => 262080
[5,4,3,2,2] generating graphics... => 262080
[5,4,3,2,1,1] generating graphics... => 524160
[5,4,3,1,1,1,1] generating graphics... => 262080
[5,4,2,2,2,1] generating graphics... => 262080
[5,4,2,2,1,1,1] generating graphics... => 262080
[5,4,2,1,1,1,1,1] generating graphics... => 262080
[5,4,1,1,1,1,1,1,1] generating graphics... => 87360
[5,3,3,3,2] generating graphics... => 131040
[5,3,3,3,1,1] generating graphics... => 131040
[5,3,3,2,2,1] generating graphics... => 262080
[5,3,3,2,1,1,1] generating graphics... => 262080
[5,3,3,1,1,1,1,1] generating graphics... => 131040
[5,3,2,2,2,2] generating graphics... => 131040
[5,3,2,2,2,1,1] generating graphics... => 262080
[5,3,2,2,1,1,1,1] generating graphics... => 262080
[5,3,2,1,1,1,1,1,1] generating graphics... => 262080
[5,3,1,1,1,1,1,1,1,1] generating graphics... => 131040
[5,2,2,2,2,2,1] generating graphics... => 87360
[5,2,2,2,2,1,1,1] generating graphics... => 87360
[5,2,2,2,1,1,1,1,1] generating graphics... => 87360
[5,2,2,1,1,1,1,1,1,1] generating graphics... => 87360
[5,2,1,1,1,1,1,1,1,1,1] generating graphics... => 87360
[5,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 21840
[4,4,4,4] generating graphics... => 1820
[4,4,4,3,1] generating graphics... => 21840
[4,4,4,2,2] generating graphics... => 10920
[4,4,4,2,1,1] generating graphics... => 21840
[4,4,4,1,1,1,1] generating graphics... => 7280
[4,4,3,3,2] generating graphics... => 21840
[4,4,3,3,1,1] generating graphics... => 21840
[4,4,3,2,2,1] generating graphics... => 43680
[4,4,3,2,1,1,1] generating graphics... => 43680
[4,4,3,1,1,1,1,1] generating graphics... => 21840
[4,4,2,2,2,2] generating graphics... => 10920
[4,4,2,2,2,1,1] generating graphics... => 21840
[4,4,2,2,1,1,1,1] generating graphics... => 21840
[4,4,2,1,1,1,1,1,1] generating graphics... => 21840
[4,4,1,1,1,1,1,1,1,1] generating graphics... => 7280
[4,3,3,3,3] generating graphics... => 7280
[4,3,3,3,2,1] generating graphics... => 43680
[4,3,3,3,1,1,1] generating graphics... => 21840
[4,3,3,2,2,2] generating graphics... => 21840
[4,3,3,2,2,1,1] generating graphics... => 43680
[4,3,3,2,1,1,1,1] generating graphics... => 43680
[4,3,3,1,1,1,1,1,1] generating graphics... => 21840
[4,3,2,2,2,2,1] generating graphics... => 43680
[4,3,2,2,2,1,1,1] generating graphics... => 43680
[4,3,2,2,1,1,1,1,1] generating graphics... => 43680
[4,3,2,1,1,1,1,1,1,1] generating graphics... => 43680
[4,3,1,1,1,1,1,1,1,1,1] generating graphics... => 21840
[4,2,2,2,2,2,2] generating graphics... => 10920
[4,2,2,2,2,2,1,1] generating graphics... => 21840
[4,2,2,2,2,1,1,1,1] generating graphics... => 21840
[4,2,2,2,1,1,1,1,1,1] generating graphics... => 21840
[4,2,2,1,1,1,1,1,1,1,1] generating graphics... => 21840
[4,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 21840
[4,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 7280
[3,3,3,3,3,1] generating graphics... => 1680
[3,3,3,3,2,2] generating graphics... => 1680
[3,3,3,3,2,1,1] generating graphics... => 3360
[3,3,3,3,1,1,1,1] generating graphics... => 1680
[3,3,3,2,2,2,1] generating graphics... => 3360
[3,3,3,2,2,1,1,1] generating graphics... => 3360
[3,3,3,2,1,1,1,1,1] generating graphics... => 3360
[3,3,3,1,1,1,1,1,1,1] generating graphics... => 1680
[3,3,2,2,2,2,2] generating graphics... => 1680
[3,3,2,2,2,2,1,1] generating graphics... => 3360
[3,3,2,2,2,1,1,1,1] generating graphics... => 3360
[3,3,2,2,1,1,1,1,1,1] generating graphics... => 3360
[3,3,2,1,1,1,1,1,1,1,1] generating graphics... => 3360
[3,3,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1680
[3,2,2,2,2,2,2,1] generating graphics... => 3360
[3,2,2,2,2,2,1,1,1] generating graphics... => 3360
[3,2,2,2,2,1,1,1,1,1] generating graphics... => 3360
[3,2,2,2,1,1,1,1,1,1,1] generating graphics... => 3360
[3,2,2,1,1,1,1,1,1,1,1,1] generating graphics... => 3360
[3,2,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 3360
[3,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 1680
[2,2,2,2,2,2,2,2] generating graphics... => 120
[2,2,2,2,2,2,2,1,1] generating graphics... => 240
[2,2,2,2,2,2,1,1,1,1] generating graphics... => 240
[2,2,2,2,2,1,1,1,1,1,1] generating graphics... => 240
[2,2,2,2,1,1,1,1,1,1,1,1] generating graphics... => 240
[2,2,2,1,1,1,1,1,1,1,1,1,1] generating graphics... => 240
[2,2,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 240
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 240
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] generating graphics... => 16
click to show generating function       
Description
Number of SYT of the skew shape determined by adding one more box in the first n columns.
Let $\lambda \vdash n$ be a diagram with the given partition as shape.
Add $n$ additional boxes, one in each column $1,\dotsc,n$, and let this be $\mu$.
The statistic is the number of standard Young tableaux of skew shape $\lambda/\mu$,
which is equal to $\frac{n!}{\prod_{i} (\mu_i - \lambda_i)!}$.
For example, $\lambda=[2,1,1]$ gives $\mu = [4,2,1,1]$.
The first row in the skew shape $\mu/\lambda$ has two boxes, so the number of SYT of
shape $\mu/\lambda$ is then $4!/2 = 12$.
This statistic shows up in the study of skew specialized Macdonald polynomials,
where a type of charge statistic give rise to a $q$-analogue of the above formula.
Created
Apr 30, 2019 at 11:28 by Per Alexandersson
Updated
Apr 30, 2019 at 11:28 by Per Alexandersson