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ピタゴラス数に対応する直角三角形の角度の一覧

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ピタゴラス数(1000未満)と、その比の辺の長さで作られる直角三角形の内角の角度を列挙してみました。

ピタゴラス数の昇順

列挙プログラム(1)
#!/usr/bin/env python3

import math

N_MAX = 1000

def pythagorean_triple(m, n):
    a = m * m - n * n
    b = 2 * m * n
    c = m * m + n * n
    if a > b:
        a, b = b, a
    d1 = math.atan2(a, b) * 180 / math.pi
    d2 = math.atan2(b, a) * 180 / math.pi
    return (a, b, c, a+b+c, d1, d2)

for t in sorted([pythagorean_triple(m, n)
                 for m in range(2, N_MAX) for n in range(1, m)]):
    if max(t[:3]) < N_MAX:
        print('| %d | %d | %d | %d | %.2f | %.2f |' % tuple(t))
a b c a+b+c 角度(小) 角度(大)
3 4 5 12 36.87 53.13
5 12 13 30 22.62 67.38
6 8 10 24 36.87 53.13
7 24 25 56 16.26 73.74
8 15 17 40 28.07 61.93
9 40 41 90 12.68 77.32
10 24 26 60 22.62 67.38
11 60 61 132 10.39 79.61
12 16 20 48 36.87 53.13
12 35 37 84 18.92 71.08
13 84 85 182 8.80 81.20
14 48 50 112 16.26 73.74
15 112 113 240 7.63 82.37
16 30 34 80 28.07 61.93
16 63 65 144 14.25 75.75
17 144 145 306 6.73 83.27
18 80 82 180 12.68 77.32
19 180 181 380 6.03 83.97
20 21 29 70 43.60 46.40
20 48 52 120 22.62 67.38
20 99 101 220 11.42 78.58
21 220 221 462 5.45 84.55
22 120 122 264 10.39 79.61
23 264 265 552 4.98 85.02
24 32 40 96 36.87 53.13
24 70 74 168 18.92 71.08
24 143 145 312 9.53 80.47
25 312 313 650 4.58 85.42
26 168 170 364 8.80 81.20
27 36 45 108 36.87 53.13
27 364 365 756 4.24 85.76
28 45 53 126 31.89 58.11
28 96 100 224 16.26 73.74
28 195 197 420 8.17 81.83
29 420 421 870 3.95 86.05
30 224 226 480 7.63 82.37
31 480 481 992 3.70 86.30
32 60 68 160 28.07 61.93
32 126 130 288 14.25 75.75
32 255 257 544 7.15 82.85
33 56 65 154 30.51 59.49
33 544 545 1122 3.47 86.53
34 288 290 612 6.73 83.27
35 612 613 1260 3.27 86.73
36 77 85 198 25.06 64.94
36 160 164 360 12.68 77.32
36 323 325 684 6.36 83.64
37 684 685 1406 3.10 86.90
38 360 362 760 6.03 83.97
39 80 89 208 25.99 64.01
39 760 761 1560 2.94 87.06
40 42 58 140 43.60 46.40
40 96 104 240 22.62 67.38
40 198 202 440 11.42 78.58
40 399 401 840 5.72 84.28
41 840 841 1722 2.79 87.21
42 440 442 924 5.45 84.55
43 924 925 1892 2.66 87.34
44 117 125 286 20.61 69.39
44 240 244 528 10.39 79.61
44 483 485 1012 5.21 84.79
45 108 117 270 22.62 67.38
46 528 530 1104 4.98 85.02
48 55 73 176 41.11 48.89
48 64 80 192 36.87 53.13
48 140 148 336 18.92 71.08
48 286 290 624 9.53 80.47
48 575 577 1200 4.77 85.23
50 624 626 1300 4.58 85.42
51 140 149 340 20.02 69.98
52 165 173 390 17.49 72.51
52 336 340 728 8.80 81.20
52 675 677 1404 4.41 85.59
54 72 90 216 36.87 53.13
54 728 730 1512 4.24 85.76
56 90 106 252 31.89 58.11
56 192 200 448 16.26 73.74
56 390 394 840 8.17 81.83
56 783 785 1624 4.09 85.91
57 176 185 418 17.95 72.05
58 840 842 1740 3.95 86.05
60 91 109 260 33.40 56.60
60 221 229 510 15.19 74.81
60 448 452 960 7.63 82.37
60 899 901 1860 3.82 86.18
62 960 962 1984 3.70 86.30
63 216 225 504 16.26 73.74
64 120 136 320 28.07 61.93
64 252 260 576 14.25 75.75
64 510 514 1088 7.15 82.85
65 72 97 234 42.08 47.92
66 112 130 308 30.51 59.49
68 285 293 646 13.42 76.58
68 576 580 1224 6.73 83.27
69 260 269 598 14.86 75.14
72 135 153 360 28.07 61.93
72 154 170 396 25.06 64.94
72 320 328 720 12.68 77.32
72 646 650 1368 6.36 83.64
75 100 125 300 36.87 53.13
75 308 317 700 13.69 76.31
76 357 365 798 12.02 77.98
76 720 724 1520 6.03 83.97
78 160 178 416 25.99 64.01
80 84 116 280 43.60 46.40
80 192 208 480 22.62 67.38
80 396 404 880 11.42 78.58
80 798 802 1680 5.72 84.28
81 360 369 810 12.68 77.32
84 187 205 476 24.19 65.81
84 437 445 966 10.88 79.12
84 880 884 1848 5.45 84.55
85 132 157 374 32.78 57.22
87 416 425 928 11.81 78.19
88 105 137 330 39.97 50.03
88 234 250 572 20.61 69.39
88 480 488 1056 10.39 79.61
88 966 970 2024 5.21 84.79
90 216 234 540 22.62 67.38
92 525 533 1150 9.94 80.06
93 476 485 1054 11.06 78.94
95 168 193 456 29.49 60.51
96 110 146 352 41.11 48.89
96 128 160 384 36.87 53.13
96 247 265 608 21.24 68.76
96 280 296 672 18.92 71.08
96 572 580 1248 9.53 80.47
99 540 549 1188 10.39 79.61
100 621 629 1350 9.15 80.85
102 280 298 680 20.02 69.98
104 153 185 442 34.21 55.79
104 330 346 780 17.49 72.51
104 672 680 1456 8.80 81.20
105 208 233 546 26.78 63.22
105 608 617 1330 9.80 80.20
108 144 180 432 36.87 53.13
108 315 333 756 18.92 71.08
108 725 733 1566 8.47 81.53
111 680 689 1480 9.27 80.73
112 180 212 504 31.89 58.11
112 384 400 896 16.26 73.74
112 780 788 1680 8.17 81.83
114 352 370 836 17.95 72.05
115 252 277 644 24.53 65.47
116 837 845 1798 7.89 82.11
117 756 765 1638 8.80 81.20
119 120 169 408 44.76 45.24
120 182 218 520 33.40 56.60
120 209 241 570 29.86 60.14
120 391 409 920 17.06 72.94
120 442 458 1020 15.19 74.81
120 896 904 1920 7.63 82.37
123 836 845 1804 8.37 81.63
124 957 965 2046 7.38 82.62
125 300 325 750 22.62 67.38
126 432 450 1008 16.26 73.74
128 240 272 640 28.07 61.93
128 504 520 1152 14.25 75.75
129 920 929 1978 7.98 82.02
130 144 194 468 42.08 47.92
132 224 260 616 30.51 59.49
132 475 493 1100 15.53 74.47
133 156 205 494 40.45 49.55
135 352 377 864 20.98 69.02
136 273 305 714 26.48 63.52
136 570 586 1292 13.42 76.58
138 520 538 1196 14.86 75.14
140 171 221 532 39.31 50.69
144 270 306 720 28.07 61.93
144 308 340 792 25.06 64.94
144 567 585 1296 14.25 75.75
144 640 656 1440 12.68 77.32
145 408 433 986 19.56 70.44
147 196 245 588 36.87 53.13
150 200 250 600 36.87 53.13
150 616 634 1400 13.69 76.31
152 345 377 874 23.78 66.22
152 714 730 1596 12.02 77.98
155 468 493 1116 18.32 71.68
156 320 356 832 25.99 64.01
156 667 685 1508 13.16 76.84
160 168 232 560 43.60 46.40
160 231 281 672 34.71 55.29
160 384 416 960 22.62 67.38
160 792 808 1760 11.42 78.58
161 240 289 690 33.86 56.14
162 720 738 1620 12.68 77.32
165 532 557 1254 17.23 72.77
168 374 410 952 24.19 65.81
168 425 457 1050 21.57 68.43
168 775 793 1736 12.23 77.77
168 874 890 1932 10.88 79.12
170 264 314 748 32.78 57.22
174 832 850 1856 11.81 78.19
175 288 337 800 31.28 58.72
175 600 625 1400 16.26 73.74
176 210 274 660 39.97 50.03
176 468 500 1144 20.61 69.39
176 960 976 2112 10.39 79.61
180 189 261 630 43.60 46.40
180 299 349 828 31.05 58.95
180 432 468 1080 22.62 67.38
180 891 909 1980 11.42 78.58
184 513 545 1242 19.73 70.27
185 672 697 1554 15.39 74.61
186 952 970 2108 11.06 78.94
189 340 389 918 29.07 60.93
190 336 386 912 29.49 60.51
192 220 292 704 41.11 48.89
192 256 320 768 36.87 53.13
192 494 530 1216 21.24 68.76
192 560 592 1344 18.92 71.08
195 748 773 1716 14.61 75.39
200 375 425 1000 28.07 61.93
200 609 641 1450 18.18 71.82
203 396 445 1044 27.14 62.86
204 253 325 782 38.88 51.12
204 560 596 1360 20.02 69.98
205 828 853 1886 13.91 76.09
207 224 305 736 42.74 47.26
208 306 370 884 34.21 55.79
208 660 692 1560 17.49 72.51
210 416 466 1092 26.78 63.22
215 912 937 2064 13.27 76.73
216 288 360 864 36.87 53.13
216 630 666 1512 18.92 71.08
216 713 745 1674 16.85 73.15
217 456 505 1178 25.45 64.55
220 459 509 1188 25.61 64.39
224 360 424 1008 31.89 58.11
224 768 800 1792 16.26 73.74
225 272 353 850 39.60 50.40
228 325 397 950 35.05 54.95
228 704 740 1672 17.95 72.05
230 504 554 1288 24.53 65.47
231 520 569 1320 23.95 66.05
232 825 857 1914 15.71 74.29
238 240 338 816 44.76 45.24
240 364 436 1040 33.40 56.60
240 418 482 1140 29.86 60.14
240 551 601 1392 23.54 66.46
240 782 818 1840 17.06 72.94
240 884 916 2040 15.19 74.81
243 324 405 972 36.87 53.13
245 588 637 1470 22.62 67.38
248 945 977 2170 14.70 75.30
250 600 650 1500 22.62 67.38
252 275 373 900 42.50 47.50
252 405 477 1134 31.89 58.11
252 864 900 2016 16.26 73.74
256 480 544 1280 28.07 61.93
259 660 709 1628 21.43 68.57
260 288 388 936 42.08 47.92
260 651 701 1612 21.77 68.23
261 380 461 1102 34.48 55.52
264 448 520 1232 30.51 59.49
264 950 986 2200 15.53 74.47
266 312 410 988 40.45 49.55
270 704 754 1728 20.98 69.02
272 546 610 1428 26.48 63.52
273 736 785 1794 20.35 69.65
276 493 565 1334 29.24 60.76
279 440 521 1240 32.38 57.62
280 342 442 1064 39.31 50.69
280 351 449 1080 38.58 51.42
280 759 809 1848 20.25 69.75
287 816 865 1968 19.38 70.62
288 540 612 1440 28.07 61.93
288 616 680 1584 25.06 64.94
290 816 866 1972 19.56 70.44
294 392 490 1176 36.87 53.13
297 304 425 1026 44.33 45.67
297 504 585 1386 30.51 59.49
300 400 500 1200 36.87 53.13
300 589 661 1550 26.99 63.01
300 875 925 2100 18.92 71.08
301 900 949 2150 18.49 71.51
304 690 754 1748 23.78 66.22
308 435 533 1276 35.30 54.70
310 936 986 2232 18.32 71.68
312 640 712 1664 25.99 64.01
315 572 653 1540 28.84 61.16
319 360 481 1160 41.54 48.46
320 336 464 1120 43.60 46.40
320 462 562 1344 34.71 55.29
320 768 832 1920 22.62 67.38
322 480 578 1380 33.86 56.14
324 693 765 1782 25.06 64.94
333 644 725 1702 27.34 62.66
336 377 505 1218 41.71 48.29
336 527 625 1488 32.52 57.48
336 748 820 1904 24.19 65.81
336 850 914 2100 21.57 68.43
340 528 628 1496 32.78 57.22
341 420 541 1302 39.07 50.93
348 805 877 2030 23.38 66.62
350 576 674 1600 31.28 58.72
351 720 801 1872 25.99 64.01
352 420 548 1320 39.97 50.03
360 378 522 1260 43.60 46.40
360 598 698 1656 31.05 58.95
360 864 936 2160 22.62 67.38
363 484 605 1452 36.87 53.13
364 627 725 1716 30.14 59.86
368 465 593 1426 38.36 51.64
369 800 881 2050 24.76 65.24
372 925 997 2294 21.91 68.09
378 680 778 1836 29.07 60.93
380 672 772 1824 29.49 60.51
384 440 584 1408 41.11 48.89
384 512 640 1536 36.87 53.13
385 552 673 1610 34.89 55.11
387 884 965 2236 23.64 66.36
392 735 833 1960 28.07 61.93
396 403 565 1364 44.50 45.50
400 561 689 1650 35.49 54.51
400 750 850 2000 28.07 61.93
406 792 890 2088 27.14 62.86
407 624 745 1776 33.11 56.89
408 506 650 1564 38.88 51.12
414 448 610 1472 42.74 47.26
416 612 740 1768 34.21 55.79
420 832 932 2184 26.78 63.22
420 851 949 2220 26.27 63.73
429 460 629 1518 43.00 47.00
429 700 821 1950 31.50 58.50
432 495 657 1584 41.11 48.89
432 576 720 1728 36.87 53.13
432 665 793 1890 33.01 56.99
448 720 848 2016 31.89 58.11
450 544 706 1700 39.60 50.40
451 780 901 2132 30.04 59.96
455 528 697 1680 40.75 49.25
456 650 794 1900 35.05 54.95
464 777 905 2146 30.84 59.16
468 595 757 1820 38.19 51.81
473 864 985 2322 28.70 61.30
476 480 676 1632 44.76 45.24
480 728 872 2080 33.40 56.60
480 836 964 2280 29.86 60.14
481 600 769 1850 38.72 51.28
486 648 810 1944 36.87 53.13
500 525 725 1750 43.60 46.40
504 550 746 1800 42.50 47.50
504 703 865 2072 35.64 54.36
504 810 954 2268 31.89 58.11
507 676 845 2028 36.87 53.13
520 576 776 1872 42.08 47.92
522 760 922 2204 34.48 55.52
532 624 820 1976 40.45 49.55
533 756 925 2214 35.18 54.82
540 629 829 1998 40.65 49.35
540 819 981 2340 33.40 56.60
555 572 797 1924 44.14 45.86
560 684 884 2128 39.31 50.69
560 702 898 2160 38.58 51.42
580 741 941 2262 38.05 51.95
585 648 873 2106 42.08 47.92
588 784 980 2352 36.87 53.13
594 608 850 2052 44.33 45.67
615 728 953 2296 40.19 49.81
616 663 905 2184 42.90 47.10
638 720 962 2320 41.54 48.46
640 672 928 2240 43.60 46.40
696 697 985 2378 44.96 45.04

角度(小)の昇順

列挙プログラム(2)
#!/usr/bin/env python3

import math

N_MAX = 1000

def pythagorean_triple(m, n):
    a = m * m - n * n
    b = 2 * m * n
    c = m * m + n * n
    if a > b:
        a, b = b, a
    d1 = math.atan2(a, b) * 180 / math.pi
    d2 = math.atan2(b, a) * 180 / math.pi
    return (d1, d2, a, b, c, a+b+c)

for t in sorted([pythagorean_triple(m, n)
                 for m in range(2, N_MAX) for n in range(1, m)]):
    if max(t[2:5]) < N_MAX:
        print('| %.2f | %.2f | %d | %d | %d | %d |' % tuple(t))
角度(小) 角度(大) a b c a+b+c
2.66 87.34 43 924 925 1892
2.79 87.21 41 840 841 1722
2.94 87.06 39 760 761 1560
3.10 86.90 37 684 685 1406
3.27 86.73 35 612 613 1260
3.47 86.53 33 544 545 1122
3.70 86.30 31 480 481 992
3.70 86.30 62 960 962 1984
3.82 86.18 60 899 901 1860
3.95 86.05 29 420 421 870
3.95 86.05 58 840 842 1740
4.09 85.91 56 783 785 1624
4.24 85.76 27 364 365 756
4.24 85.76 54 728 730 1512
4.41 85.59 52 675 677 1404
4.58 85.42 25 312 313 650
4.58 85.42 50 624 626 1300
4.77 85.23 48 575 577 1200
4.98 85.02 23 264 265 552
4.98 85.02 46 528 530 1104
5.21 84.79 44 483 485 1012
5.21 84.79 88 966 970 2024
5.45 84.55 21 220 221 462
5.45 84.55 42 440 442 924
5.45 84.55 84 880 884 1848
5.72 84.28 40 399 401 840
5.72 84.28 80 798 802 1680
6.03 83.97 19 180 181 380
6.03 83.97 38 360 362 760
6.03 83.97 76 720 724 1520
6.36 83.64 36 323 325 684
6.36 83.64 72 646 650 1368
6.73 83.27 17 144 145 306
6.73 83.27 34 288 290 612
6.73 83.27 68 576 580 1224
7.15 82.85 32 255 257 544
7.15 82.85 64 510 514 1088
7.38 82.62 124 957 965 2046
7.63 82.37 15 112 113 240
7.63 82.37 30 224 226 480
7.63 82.37 60 448 452 960
7.63 82.37 120 896 904 1920
7.89 82.11 116 837 845 1798
7.98 82.02 129 920 929 1978
8.17 81.83 28 195 197 420
8.17 81.83 56 390 394 840
8.17 81.83 112 780 788 1680
8.37 81.63 123 836 845 1804
8.47 81.53 108 725 733 1566
8.80 81.20 13 84 85 182
8.80 81.20 26 168 170 364
8.80 81.20 52 336 340 728
8.80 81.20 104 672 680 1456
8.80 81.20 117 756 765 1638
9.15 80.85 100 621 629 1350
9.27 80.73 111 680 689 1480
9.53 80.47 24 143 145 312
9.53 80.47 48 286 290 624
9.53 80.47 96 572 580 1248
9.80 80.20 105 608 617 1330
9.94 80.06 92 525 533 1150
10.39 79.61 11 60 61 132
10.39 79.61 22 120 122 264
10.39 79.61 44 240 244 528
10.39 79.61 88 480 488 1056
10.39 79.61 99 540 549 1188
10.39 79.61 176 960 976 2112
10.88 79.12 84 437 445 966
10.88 79.12 168 874 890 1932
11.06 78.94 93 476 485 1054
11.06 78.94 186 952 970 2108
11.42 78.58 20 99 101 220
11.42 78.58 40 198 202 440
11.42 78.58 80 396 404 880
11.42 78.58 160 792 808 1760
11.42 78.58 180 891 909 1980
11.81 78.19 87 416 425 928
11.81 78.19 174 832 850 1856
12.02 77.98 76 357 365 798
12.02 77.98 152 714 730 1596
12.23 77.77 168 775 793 1736
12.68 77.32 9 40 41 90
12.68 77.32 18 80 82 180
12.68 77.32 36 160 164 360
12.68 77.32 72 320 328 720
12.68 77.32 81 360 369 810
12.68 77.32 144 640 656 1440
12.68 77.32 162 720 738 1620
13.16 76.84 156 667 685 1508
13.27 76.73 215 912 937 2064
13.42 76.58 68 285 293 646
13.42 76.58 136 570 586 1292
13.69 76.31 75 308 317 700
13.69 76.31 150 616 634 1400
13.91 76.09 205 828 853 1886
14.25 75.75 16 63 65 144
14.25 75.75 32 126 130 288
14.25 75.75 64 252 260 576
14.25 75.75 128 504 520 1152
14.25 75.75 144 567 585 1296
14.61 75.39 195 748 773 1716
14.70 75.30 248 945 977 2170
14.86 75.14 69 260 269 598
14.86 75.14 138 520 538 1196
15.19 74.81 60 221 229 510
15.19 74.81 120 442 458 1020
15.19 74.81 240 884 916 2040
15.39 74.61 185 672 697 1554
15.53 74.47 132 475 493 1100
15.53 74.47 264 950 986 2200
15.71 74.29 232 825 857 1914
16.26 73.74 7 24 25 56
16.26 73.74 14 48 50 112
16.26 73.74 28 96 100 224
16.26 73.74 56 192 200 448
16.26 73.74 63 216 225 504
16.26 73.74 112 384 400 896
16.26 73.74 126 432 450 1008
16.26 73.74 175 600 625 1400
16.26 73.74 224 768 800 1792
16.26 73.74 252 864 900 2016
16.85 73.15 216 713 745 1674
17.06 72.94 120 391 409 920
17.06 72.94 240 782 818 1840
17.23 72.77 165 532 557 1254
17.49 72.51 52 165 173 390
17.49 72.51 104 330 346 780
17.49 72.51 208 660 692 1560
17.95 72.05 57 176 185 418
17.95 72.05 114 352 370 836
17.95 72.05 228 704 740 1672
18.18 71.82 200 609 641 1450
18.32 71.68 155 468 493 1116
18.32 71.68 310 936 986 2232
18.49 71.51 301 900 949 2150
18.92 71.08 12 35 37 84
18.92 71.08 24 70 74 168
18.92 71.08 48 140 148 336
18.92 71.08 96 280 296 672
18.92 71.08 108 315 333 756
18.92 71.08 192 560 592 1344
18.92 71.08 216 630 666 1512
18.92 71.08 300 875 925 2100
19.38 70.62 287 816 865 1968
19.56 70.44 145 408 433 986
19.56 70.44 290 816 866 1972
19.73 70.27 184 513 545 1242
20.02 69.98 51 140 149 340
20.02 69.98 102 280 298 680
20.02 69.98 204 560 596 1360
20.25 69.75 280 759 809 1848
20.35 69.65 273 736 785 1794
20.61 69.39 44 117 125 286
20.61 69.39 88 234 250 572
20.61 69.39 176 468 500 1144
20.98 69.02 135 352 377 864
20.98 69.02 270 704 754 1728
21.24 68.76 96 247 265 608
21.24 68.76 192 494 530 1216
21.43 68.57 259 660 709 1628
21.57 68.43 168 425 457 1050
21.57 68.43 336 850 914 2100
21.77 68.23 260 651 701 1612
21.91 68.09 372 925 997 2294
22.62 67.38 5 12 13 30
22.62 67.38 10 24 26 60
22.62 67.38 20 48 52 120
22.62 67.38 40 96 104 240
22.62 67.38 45 108 117 270
22.62 67.38 80 192 208 480
22.62 67.38 90 216 234 540
22.62 67.38 125 300 325 750
22.62 67.38 160 384 416 960
22.62 67.38 180 432 468 1080
22.62 67.38 245 588 637 1470
22.62 67.38 250 600 650 1500
22.62 67.38 320 768 832 1920
22.62 67.38 360 864 936 2160
23.38 66.62 348 805 877 2030
23.54 66.46 240 551 601 1392
23.64 66.36 387 884 965 2236
23.78 66.22 152 345 377 874
23.78 66.22 304 690 754 1748
23.95 66.05 231 520 569 1320
24.19 65.81 84 187 205 476
24.19 65.81 168 374 410 952
24.19 65.81 336 748 820 1904
24.53 65.47 115 252 277 644
24.53 65.47 230 504 554 1288
24.76 65.24 369 800 881 2050
25.06 64.94 36 77 85 198
25.06 64.94 72 154 170 396
25.06 64.94 144 308 340 792
25.06 64.94 288 616 680 1584
25.06 64.94 324 693 765 1782
25.45 64.55 217 456 505 1178
25.61 64.39 220 459 509 1188
25.99 64.01 39 80 89 208
25.99 64.01 78 160 178 416
25.99 64.01 156 320 356 832
25.99 64.01 312 640 712 1664
25.99 64.01 351 720 801 1872
26.27 63.73 420 851 949 2220
26.48 63.52 136 273 305 714
26.48 63.52 272 546 610 1428
26.78 63.22 105 208 233 546
26.78 63.22 210 416 466 1092
26.78 63.22 420 832 932 2184
26.99 63.01 300 589 661 1550
27.14 62.86 203 396 445 1044
27.14 62.86 406 792 890 2088
27.34 62.66 333 644 725 1702
28.07 61.93 8 15 17 40
28.07 61.93 16 30 34 80
28.07 61.93 32 60 68 160
28.07 61.93 64 120 136 320
28.07 61.93 72 135 153 360
28.07 61.93 128 240 272 640
28.07 61.93 144 270 306 720
28.07 61.93 200 375 425 1000
28.07 61.93 256 480 544 1280
28.07 61.93 288 540 612 1440
28.07 61.93 392 735 833 1960
28.07 61.93 400 750 850 2000
28.70 61.30 473 864 985 2322
28.84 61.16 315 572 653 1540
29.07 60.93 189 340 389 918
29.07 60.93 378 680 778 1836
29.24 60.76 276 493 565 1334
29.49 60.51 95 168 193 456
29.49 60.51 190 336 386 912
29.49 60.51 380 672 772 1824
29.86 60.14 120 209 241 570
29.86 60.14 240 418 482 1140
29.86 60.14 480 836 964 2280
30.04 59.96 451 780 901 2132
30.14 59.86 364 627 725 1716
30.51 59.49 33 56 65 154
30.51 59.49 66 112 130 308
30.51 59.49 132 224 260 616
30.51 59.49 264 448 520 1232
30.51 59.49 297 504 585 1386
30.84 59.16 464 777 905 2146
31.05 58.95 180 299 349 828
31.05 58.95 360 598 698 1656
31.28 58.72 175 288 337 800
31.28 58.72 350 576 674 1600
31.50 58.50 429 700 821 1950
31.89 58.11 28 45 53 126
31.89 58.11 56 90 106 252
31.89 58.11 112 180 212 504
31.89 58.11 224 360 424 1008
31.89 58.11 252 405 477 1134
31.89 58.11 448 720 848 2016
31.89 58.11 504 810 954 2268
32.38 57.62 279 440 521 1240
32.52 57.48 336 527 625 1488
32.78 57.22 85 132 157 374
32.78 57.22 170 264 314 748
32.78 57.22 340 528 628 1496
33.01 56.99 432 665 793 1890
33.11 56.89 407 624 745 1776
33.40 56.60 60 91 109 260
33.40 56.60 120 182 218 520
33.40 56.60 240 364 436 1040
33.40 56.60 480 728 872 2080
33.40 56.60 540 819 981 2340
33.86 56.14 161 240 289 690
33.86 56.14 322 480 578 1380
34.21 55.79 104 153 185 442
34.21 55.79 208 306 370 884
34.21 55.79 416 612 740 1768
34.48 55.52 261 380 461 1102
34.48 55.52 522 760 922 2204
34.71 55.29 160 231 281 672
34.71 55.29 320 462 562 1344
34.89 55.11 385 552 673 1610
35.05 54.95 228 325 397 950
35.05 54.95 456 650 794 1900
35.18 54.82 533 756 925 2214
35.30 54.70 308 435 533 1276
35.49 54.51 400 561 689 1650
35.64 54.36 504 703 865 2072
36.87 53.13 3 4 5 12
36.87 53.13 6 8 10 24
36.87 53.13 12 16 20 48
36.87 53.13 24 32 40 96
36.87 53.13 27 36 45 108
36.87 53.13 48 64 80 192
36.87 53.13 54 72 90 216
36.87 53.13 75 100 125 300
36.87 53.13 96 128 160 384
36.87 53.13 108 144 180 432
36.87 53.13 147 196 245 588
36.87 53.13 150 200 250 600
36.87 53.13 192 256 320 768
36.87 53.13 216 288 360 864
36.87 53.13 243 324 405 972
36.87 53.13 294 392 490 1176
36.87 53.13 300 400 500 1200
36.87 53.13 363 484 605 1452
36.87 53.13 384 512 640 1536
36.87 53.13 432 576 720 1728
36.87 53.13 486 648 810 1944
36.87 53.13 507 676 845 2028
36.87 53.13 588 784 980 2352
38.05 51.95 580 741 941 2262
38.19 51.81 468 595 757 1820
38.36 51.64 368 465 593 1426
38.58 51.42 280 351 449 1080
38.58 51.42 560 702 898 2160
38.72 51.28 481 600 769 1850
38.88 51.12 204 253 325 782
38.88 51.12 408 506 650 1564
39.07 50.93 341 420 541 1302
39.31 50.69 140 171 221 532
39.31 50.69 280 342 442 1064
39.31 50.69 560 684 884 2128
39.60 50.40 225 272 353 850
39.60 50.40 450 544 706 1700
39.97 50.03 88 105 137 330
39.97 50.03 176 210 274 660
39.97 50.03 352 420 548 1320
40.19 49.81 615 728 953 2296
40.45 49.55 133 156 205 494
40.45 49.55 266 312 410 988
40.45 49.55 532 624 820 1976
40.65 49.35 540 629 829 1998
40.75 49.25 455 528 697 1680
41.11 48.89 48 55 73 176
41.11 48.89 96 110 146 352
41.11 48.89 192 220 292 704
41.11 48.89 384 440 584 1408
41.11 48.89 432 495 657 1584
41.54 48.46 319 360 481 1160
41.54 48.46 638 720 962 2320
41.71 48.29 336 377 505 1218
42.08 47.92 65 72 97 234
42.08 47.92 130 144 194 468
42.08 47.92 260 288 388 936
42.08 47.92 520 576 776 1872
42.08 47.92 585 648 873 2106
42.50 47.50 252 275 373 900
42.50 47.50 504 550 746 1800
42.74 47.26 207 224 305 736
42.74 47.26 414 448 610 1472
42.90 47.10 616 663 905 2184
43.00 47.00 429 460 629 1518
43.60 46.40 20 21 29 70
43.60 46.40 40 42 58 140
43.60 46.40 80 84 116 280
43.60 46.40 160 168 232 560
43.60 46.40 180 189 261 630
43.60 46.40 320 336 464 1120
43.60 46.40 360 378 522 1260
43.60 46.40 500 525 725 1750
43.60 46.40 640 672 928 2240
44.14 45.86 555 572 797 1924
44.33 45.67 297 304 425 1026
44.33 45.67 594 608 850 2052
44.50 45.50 396 403 565 1364
44.76 45.24 119 120 169 408
44.76 45.24 238 240 338 816
44.76 45.24 476 480 676 1632
44.96 45.04 696 697 985 2378
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