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Use shift method 2 (9x9) to produce 9 proportional 9x9 magic squares. Use the table below to get the column coordinates proportional divided over the 9x9 magic squares:
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0 | 2 | 1 | 6 | 8 | 7 | 3 | 5 | 4 | Â | 36 |
6 | 8 | 7 | 3 | 5 | 4 | 0 | 2 | 1 | Â | 36 |
3 | 5 | 4 | 0 | 2 | 1 | 6 | 8 | 7 | Â | 36 |
2 | 1 | 0 | 8 | 7 | 6 | 5 | 4 | 3 | Â | 36 |
8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 0 | Â | 36 |
5 | 4 | 3 | 2 | 1 | 0 | 8 | 7 | 6 | Â | 36 |
1 | 0 | 2 | 7 | 6 | 8 | 4 | 3 | 5 | Â | 36 |
7 | 6 | 8 | 4 | 3 | 5 | 1 | 0 | 2 | Â | 36 |
4 | 3 | 5 | 1 | 0 | 2 | 7 | 6 | 8 | Â | 36 |
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Translate the table in the column coordinates from 0 up to 80:
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0 | 11 | 19 | 33 | 44 | 52 | 57 | 68 | 76 | Â | 360 |
6 | 17 | 25 | 30 | 41 | 49 | 54 | 65 | 73 | Â | 360 |
3 | 14 | 22 | 27 | 38 | 46 | 60 | 71 | 79 | Â | 360 |
2 | 10 | 18 | 35 | 43 | 51 | 59 | 67 | 75 | Â | 360 |
8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | Â | 360 |
5 | 13 | 21 | 29 | 37 | 45 | 62 | 70 | 78 | Â | 360 |
1 | 9 | 20 | 34 | 42 | 53 | 58 | 66 | 77 | Â | 360 |
7 | 15 | 26 | 31 | 39 | 50 | 55 | 63 | 74 | Â | 360 |
4 | 12 | 23 | 28 | 36 | 47 | 61 | 69 | 80 | Â | 360 |
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Construct the 9x9 magic squares
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9x number
0 | 19 | 11 | 57 | 76 | 68 | 33 | 52 | 44 |
57 | 76 | 68 | 33 | 52 | 44 | 0 | 19 | 11 |
33 | 52 | 44 | 0 | 19 | 11 | 57 | 76 | 68 |
19 | 11 | 0 | 76 | 68 | 57 | 52 | 44 | 33 |
76 | 68 | 57 | 52 | 44 | 33 | 19 | 11 | 0 |
52 | 44 | 33 | 19 | 11 | 0 | 76 | 68 | 57 |
11 | 0 | 19 | 68 | 57 | 76 | 44 | 33 | 52 |
68 | 57 | 76 | 44 | 33 | 52 | 11 | 0 | 19 |
44 | 33 | 52 | 11 | 0 | 19 | 68 | 57 | 76 |
 |  |  |  |  |  |  |  |  |
6 | 25 | 17 | 54 | 73 | 65 | 30 | 49 | 41 |
54 | 73 | 65 | 30 | 49 | 41 | 6 | 25 | 17 |
30 | 49 | 41 | 6 | 25 | 17 | 54 | 73 | 65 |
25 | 17 | 6 | 73 | 65 | 54 | 49 | 41 | 30 |
73 | 65 | 54 | 49 | 41 | 30 | 25 | 17 | 6 |
49 | 41 | 30 | 25 | 17 | 6 | 73 | 65 | 54 |
17 | 6 | 25 | 65 | 54 | 73 | 41 | 30 | 49 |
65 | 54 | 73 | 41 | 30 | 49 | 17 | 6 | 25 |
41 | 30 | 49 | 17 | 6 | 25 | 65 | 54 | 73 |
 |  |  |  |  |  |  |  |  |
3 | 22 | 14 | 60 | 79 | 71 | 27 | 46 | 38 |
60 | 79 | 71 | 27 | 46 | 38 | 3 | 22 | 14 |
27 | 46 | 38 | 3 | 22 | 14 | 60 | 79 | 71 |
22 | 14 | 3 | 79 | 71 | 60 | 46 | 38 | 27 |
79 | 71 | 60 | 46 | 38 | 27 | 22 | 14 | 3 |
46 | 38 | 27 | 22 | 14 | 3 | 79 | 71 | 60 |
14 | 3 | 22 | 71 | 60 | 79 | 38 | 27 | 46 |
71 | 60 | 79 | 38 | 27 | 46 | 14 | 3 | 22 |
38 | 27 | 46 | 14 | 3 | 22 | 71 | 60 | 79 |
 |  |  |  |  |  |  |  |  |
2 | 18 | 10 | 59 | 75 | 67 | 35 | 51 | 43 |
59 | 75 | 67 | 35 | 51 | 43 | 2 | 18 | 10 |
35 | 51 | 43 | 2 | 18 | 10 | 59 | 75 | 67 |
18 | 10 | 2 | 75 | 67 | 59 | 51 | 43 | 35 |
75 | 67 | 59 | 51 | 43 | 35 | 18 | 10 | 2 |
51 | 43 | 35 | 18 | 10 | 2 | 75 | 67 | 59 |
10 | 2 | 18 | 67 | 59 | 75 | 43 | 35 | 51 |
67 | 59 | 75 | 43 | 35 | 51 | 10 | 2 | 18 |
43 | 35 | 51 | 10 | 2 | 18 | 67 | 59 | 75 |
 |  |  |  |  |  |  |  |  |
8 | 24 | 16 | 56 | 72 | 64 | 32 | 48 | 40 |
56 | 72 | 64 | 32 | 48 | 40 | 8 | 24 | 16 |
32 | 48 | 40 | 8 | 24 | 16 | 56 | 72 | 64 |
24 | 16 | 8 | 72 | 64 | 56 | 48 | 40 | 32 |
72 | 64 | 56 | 48 | 40 | 32 | 24 | 16 | 8 |
48 | 40 | 32 | 24 | 16 | 8 | 72 | 64 | 56 |
16 | 8 | 24 | 64 | 56 | 72 | 40 | 32 | 48 |
64 | 56 | 72 | 40 | 32 | 48 | 16 | 8 | 24 |
40 | 32 | 48 | 16 | 8 | 24 | 64 | 56 | 72 |
 |  |  |  |  |  |  |  |  |
5 | 21 | 13 | 62 | 78 | 70 | 29 | 45 | 37 |
62 | 78 | 70 | 29 | 45 | 37 | 5 | 21 | 13 |
29 | 45 | 37 | 5 | 21 | 13 | 62 | 78 | 70 |
21 | 13 | 5 | 78 | 70 | 62 | 45 | 37 | 29 |
78 | 70 | 62 | 45 | 37 | 29 | 21 | 13 | 5 |
45 | 37 | 29 | 21 | 13 | 5 | 78 | 70 | 62 |
13 | 5 | 21 | 70 | 62 | 78 | 37 | 29 | 45 |
70 | 62 | 78 | 37 | 29 | 45 | 13 | 5 | 21 |
37 | 29 | 45 | 13 | 5 | 21 | 70 | 62 | 78 |
 |  |  |  |  |  |  |  |  |
1 | 20 | 9 | 58 | 77 | 66 | 34 | 53 | 42 |
58 | 77 | 66 | 34 | 53 | 42 | 1 | 20 | 9 |
34 | 53 | 42 | 1 | 20 | 9 | 58 | 77 | 66 |
20 | 9 | 1 | 77 | 66 | 58 | 53 | 42 | 34 |
77 | 66 | 58 | 53 | 42 | 34 | 20 | 9 | 1 |
53 | 42 | 34 | 20 | 9 | 1 | 77 | 66 | 58 |
9 | 1 | 20 | 66 | 58 | 77 | 42 | 34 | 53 |
66 | 58 | 77 | 42 | 34 | 53 | 9 | 1 | 20 |
42 | 34 | 53 | 9 | 1 | 20 | 66 | 58 | 77 |
 |  |  |  |  |  |  |  |  |
7 | 26 | 15 | 55 | 74 | 63 | 31 | 50 | 39 |
55 | 74 | 63 | 31 | 50 | 39 | 7 | 26 | 15 |
31 | 50 | 39 | 7 | 26 | 15 | 55 | 74 | 63 |
26 | 15 | 7 | 74 | 63 | 55 | 50 | 39 | 31 |
74 | 63 | 55 | 50 | 39 | 31 | 26 | 15 | 7 |
50 | 39 | 31 | 26 | 15 | 7 | 74 | 63 | 55 |
15 | 7 | 26 | 63 | 55 | 74 | 39 | 31 | 50 |
63 | 55 | 74 | 39 | 31 | 50 | 15 | 7 | 26 |
39 | 31 | 50 | 15 | 7 | 26 | 63 | 55 | 74 |
 |  |  |  |  |  |  |  |  |
4 | 23 | 12 | 61 | 80 | 69 | 28 | 47 | 36 |
61 | 80 | 69 | 28 | 47 | 36 | 4 | 23 | 12 |
28 | 47 | 36 | 4 | 23 | 12 | 61 | 80 | 69 |
23 | 12 | 4 | 80 | 69 | 61 | 47 | 36 | 28 |
80 | 69 | 61 | 47 | 36 | 28 | 23 | 12 | 4 |
47 | 36 | 28 | 23 | 12 | 4 | 80 | 69 | 61 |
12 | 4 | 23 | 69 | 61 | 80 | 36 | 28 | 47 |
69 | 61 | 80 | 36 | 28 | 47 | 12 | 4 | 23 |
36 | 28 | 47 | 12 | 4 | 23 | 69 | 61 | 80 |
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+1x number +1
4 | 7 | 1 | 5 | 8 | 2 | 3 | 6 | 0 |
3 | 6 | 0 | 4 | 7 | 1 | 5 | 8 | 2 |
5 | 8 | 2 | 3 | 6 | 0 | 4 | 7 | 1 |
1 | 4 | 7 | 2 | 5 | 8 | 0 | 3 | 6 |
0 | 3 | 6 | 1 | 4 | 7 | 2 | 5 | 8 |
2 | 5 | 8 | 0 | 3 | 6 | 1 | 4 | 7 |
7 | 1 | 4 | 8 | 2 | 5 | 6 | 0 | 3 |
6 | 0 | 3 | 7 | 1 | 4 | 8 | 2 | 5 |
8 | 2 | 5 | 6 | 0 | 3 | 7 | 1 | 4 |
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= 9x9 magic sub-squares
5 | 179 | 101 | 519 | 693 | 615 | 301 | 475 | 397 |
517 | 691 | 613 | 302 | 476 | 398 | 6 | 180 | 102 |
303 | 477 | 399 | 4 | 178 | 100 | 518 | 692 | 614 |
173 | 104 | 8 | 687 | 618 | 522 | 469 | 400 | 304 |
685 | 616 | 520 | 470 | 401 | 305 | 174 | 105 | 9 |
471 | 402 | 306 | 172 | 103 | 7 | 686 | 617 | 521 |
107 | 2 | 176 | 621 | 516 | 690 | 403 | 298 | 472 |
619 | 514 | 688 | 404 | 299 | 473 | 108 | 3 | 177 |
405 | 300 | 474 | 106 | 1 | 175 | 620 | 515 | 689 |
 |  |  |  |  |  |  |  |  |
59 | 233 | 155 | 492 | 666 | 588 | 274 | 448 | 370 |
490 | 664 | 586 | 275 | 449 | 371 | 60 | 234 | 156 |
276 | 450 | 372 | 58 | 232 | 154 | 491 | 665 | 587 |
227 | 158 | 62 | 660 | 591 | 495 | 442 | 373 | 277 |
658 | 589 | 493 | 443 | 374 | 278 | 228 | 159 | 63 |
444 | 375 | 279 | 226 | 157 | 61 | 659 | 590 | 494 |
161 | 56 | 230 | 594 | 489 | 663 | 376 | 271 | 445 |
592 | 487 | 661 | 377 | 272 | 446 | 162 | 57 | 231 |
378 | 273 | 447 | 160 | 55 | 229 | 593 | 488 | 662 |
 |  |  |  |  |  |  |  |  |
32 | 206 | 128 | 546 | 720 | 642 | 247 | 421 | 343 |
544 | 718 | 640 | 248 | 422 | 344 | 33 | 207 | 129 |
249 | 423 | 345 | 31 | 205 | 127 | 545 | 719 | 641 |
200 | 131 | 35 | 714 | 645 | 549 | 415 | 346 | 250 |
712 | 643 | 547 | 416 | 347 | 251 | 201 | 132 | 36 |
417 | 348 | 252 | 199 | 130 | 34 | 713 | 644 | 548 |
134 | 29 | 203 | 648 | 543 | 717 | 349 | 244 | 418 |
646 | 541 | 715 | 350 | 245 | 419 | 135 | 30 | 204 |
351 | 246 | 420 | 133 | 28 | 202 | 647 | 542 | 716 |
 |  |  |  |  |  |  |  |  |
23 | 170 | 92 | 537 | 684 | 606 | 319 | 466 | 388 |
535 | 682 | 604 | 320 | 467 | 389 | 24 | 171 | 93 |
321 | 468 | 390 | 22 | 169 | 91 | 536 | 683 | 605 |
164 | 95 | 26 | 678 | 609 | 540 | 460 | 391 | 322 |
676 | 607 | 538 | 461 | 392 | 323 | 165 | 96 | 27 |
462 | 393 | 324 | 163 | 94 | 25 | 677 | 608 | 539 |
98 | 20 | 167 | 612 | 534 | 681 | 394 | 316 | 463 |
610 | 532 | 679 | 395 | 317 | 464 | 99 | 21 | 168 |
396 | 318 | 465 | 97 | 19 | 166 | 611 | 533 | 680 |
 |  |  |  |  |  |  |  |  |
77 | 224 | 146 | 510 | 657 | 579 | 292 | 439 | 361 |
508 | 655 | 577 | 293 | 440 | 362 | 78 | 225 | 147 |
294 | 441 | 363 | 76 | 223 | 145 | 509 | 656 | 578 |
218 | 149 | 80 | 651 | 582 | 513 | 433 | 364 | 295 |
649 | 580 | 511 | 434 | 365 | 296 | 219 | 150 | 81 |
435 | 366 | 297 | 217 | 148 | 79 | 650 | 581 | 512 |
152 | 74 | 221 | 585 | 507 | 654 | 367 | 289 | 436 |
583 | 505 | 652 | 368 | 290 | 437 | 153 | 75 | 222 |
369 | 291 | 438 | 151 | 73 | 220 | 584 | 506 | 653 |
 |  |  |  |  |  |  |  |  |
50 | 197 | 119 | 564 | 711 | 633 | 265 | 412 | 334 |
562 | 709 | 631 | 266 | 413 | 335 | 51 | 198 | 120 |
267 | 414 | 336 | 49 | 196 | 118 | 563 | 710 | 632 |
191 | 122 | 53 | 705 | 636 | 567 | 406 | 337 | 268 |
703 | 634 | 565 | 407 | 338 | 269 | 192 | 123 | 54 |
408 | 339 | 270 | 190 | 121 | 52 | 704 | 635 | 566 |
125 | 47 | 194 | 639 | 561 | 708 | 340 | 262 | 409 |
637 | 559 | 706 | 341 | 263 | 410 | 126 | 48 | 195 |
342 | 264 | 411 | 124 | 46 | 193 | 638 | 560 | 707 |
 |  |  |  |  |  |  |  |  |
14 | 188 | 83 | 528 | 702 | 597 | 310 | 484 | 379 |
526 | 700 | 595 | 311 | 485 | 380 | 15 | 189 | 84 |
312 | 486 | 381 | 13 | 187 | 82 | 527 | 701 | 596 |
182 | 86 | 17 | 696 | 600 | 531 | 478 | 382 | 313 |
694 | 598 | 529 | 479 | 383 | 314 | 183 | 87 | 18 |
480 | 384 | 315 | 181 | 85 | 16 | 695 | 599 | 530 |
89 | 11 | 185 | 603 | 525 | 699 | 385 | 307 | 481 |
601 | 523 | 697 | 386 | 308 | 482 | 90 | 12 | 186 |
387 | 309 | 483 | 88 | 10 | 184 | 602 | 524 | 698 |
 |  |  |  |  |  |  |  |  |
68 | 242 | 137 | 501 | 675 | 570 | 283 | 457 | 352 |
499 | 673 | 568 | 284 | 458 | 353 | 69 | 243 | 138 |
285 | 459 | 354 | 67 | 241 | 136 | 500 | 674 | 569 |
236 | 140 | 71 | 669 | 573 | 504 | 451 | 355 | 286 |
667 | 571 | 502 | 452 | 356 | 287 | 237 | 141 | 72 |
453 | 357 | 288 | 235 | 139 | 70 | 668 | 572 | 503 |
143 | 65 | 239 | 576 | 498 | 672 | 358 | 280 | 454 |
574 | 496 | 670 | 359 | 281 | 455 | 144 | 66 | 240 |
360 | 282 | 456 | 142 | 64 | 238 | 575 | 497 | 671 |
 |  |  |  |  |  |  |  |  |
41 | 215 | 110 | 555 | 729 | 624 | 256 | 430 | 325 |
553 | 727 | 622 | 257 | 431 | 326 | 42 | 216 | 111 |
258 | 432 | 327 | 40 | 214 | 109 | 554 | 728 | 623 |
209 | 113 | 44 | 723 | 627 | 558 | 424 | 328 | 259 |
721 | 625 | 556 | 425 | 329 | 260 | 210 | 114 | 45 |
426 | 330 | 261 | 208 | 112 | 43 | 722 | 626 | 557 |
116 | 38 | 212 | 630 | 552 | 726 | 331 | 253 | 427 |
628 | 550 | 724 | 332 | 254 | 428 | 117 | 39 | 213 |
333 | 255 | 429 | 115 | 37 | 211 | 629 | 551 | 725 |
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Put the 9 magic 9x9 sub-squares together.
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Ultra magic 27x27 square
5 | 179 | 101 | 519 | 693 | 615 | 301 | 475 | 397 | 59 | 233 | 155 | 492 | 666 | 588 | 274 | 448 | 370 | 32 | 206 | 128 | 546 | 720 | 642 | 247 | 421 | 343 |
517 | 691 | 613 | 302 | 476 | 398 | 6 | 180 | 102 | 490 | 664 | 586 | 275 | 449 | 371 | 60 | 234 | 156 | 544 | 718 | 640 | 248 | 422 | 344 | 33 | 207 | 129 |
303 | 477 | 399 | 4 | 178 | 100 | 518 | 692 | 614 | 276 | 450 | 372 | 58 | 232 | 154 | 491 | 665 | 587 | 249 | 423 | 345 | 31 | 205 | 127 | 545 | 719 | 641 |
173 | 104 | 8 | 687 | 618 | 522 | 469 | 400 | 304 | 227 | 158 | 62 | 660 | 591 | 495 | 442 | 373 | 277 | 200 | 131 | 35 | 714 | 645 | 549 | 415 | 346 | 250 |
685 | 616 | 520 | 470 | 401 | 305 | 174 | 105 | 9 | 658 | 589 | 493 | 443 | 374 | 278 | 228 | 159 | 63 | 712 | 643 | 547 | 416 | 347 | 251 | 201 | 132 | 36 |
471 | 402 | 306 | 172 | 103 | 7 | 686 | 617 | 521 | 444 | 375 | 279 | 226 | 157 | 61 | 659 | 590 | 494 | 417 | 348 | 252 | 199 | 130 | 34 | 713 | 644 | 548 |
107 | 2 | 176 | 621 | 516 | 690 | 403 | 298 | 472 | 161 | 56 | 230 | 594 | 489 | 663 | 376 | 271 | 445 | 134 | 29 | 203 | 648 | 543 | 717 | 349 | 244 | 418 |
619 | 514 | 688 | 404 | 299 | 473 | 108 | 3 | 177 | 592 | 487 | 661 | 377 | 272 | 446 | 162 | 57 | 231 | 646 | 541 | 715 | 350 | 245 | 419 | 135 | 30 | 204 |
405 | 300 | 474 | 106 | 1 | 175 | 620 | 515 | 689 | 378 | 273 | 447 | 160 | 55 | 229 | 593 | 488 | 662 | 351 | 246 | 420 | 133 | 28 | 202 | 647 | 542 | 716 |
23 | 170 | 92 | 537 | 684 | 606 | 319 | 466 | 388 | 77 | 224 | 146 | 510 | 657 | 579 | 292 | 439 | 361 | 50 | 197 | 119 | 564 | 711 | 633 | 265 | 412 | 334 |
535 | 682 | 604 | 320 | 467 | 389 | 24 | 171 | 93 | 508 | 655 | 577 | 293 | 440 | 362 | 78 | 225 | 147 | 562 | 709 | 631 | 266 | 413 | 335 | 51 | 198 | 120 |
321 | 468 | 390 | 22 | 169 | 91 | 536 | 683 | 605 | 294 | 441 | 363 | 76 | 223 | 145 | 509 | 656 | 578 | 267 | 414 | 336 | 49 | 196 | 118 | 563 | 710 | 632 |
164 | 95 | 26 | 678 | 609 | 540 | 460 | 391 | 322 | 218 | 149 | 80 | 651 | 582 | 513 | 433 | 364 | 295 | 191 | 122 | 53 | 705 | 636 | 567 | 406 | 337 | 268 |
676 | 607 | 538 | 461 | 392 | 323 | 165 | 96 | 27 | 649 | 580 | 511 | 434 | 365 | 296 | 219 | 150 | 81 | 703 | 634 | 565 | 407 | 338 | 269 | 192 | 123 | 54 |
462 | 393 | 324 | 163 | 94 | 25 | 677 | 608 | 539 | 435 | 366 | 297 | 217 | 148 | 79 | 650 | 581 | 512 | 408 | 339 | 270 | 190 | 121 | 52 | 704 | 635 | 566 |
98 | 20 | 167 | 612 | 534 | 681 | 394 | 316 | 463 | 152 | 74 | 221 | 585 | 507 | 654 | 367 | 289 | 436 | 125 | 47 | 194 | 639 | 561 | 708 | 340 | 262 | 409 |
610 | 532 | 679 | 395 | 317 | 464 | 99 | 21 | 168 | 583 | 505 | 652 | 368 | 290 | 437 | 153 | 75 | 222 | 637 | 559 | 706 | 341 | 263 | 410 | 126 | 48 | 195 |
396 | 318 | 465 | 97 | 19 | 166 | 611 | 533 | 680 | 369 | 291 | 438 | 151 | 73 | 220 | 584 | 506 | 653 | 342 | 264 | 411 | 124 | 46 | 193 | 638 | 560 | 707 |
14 | 188 | 83 | 528 | 702 | 597 | 310 | 484 | 379 | 68 | 242 | 137 | 501 | 675 | 570 | 283 | 457 | 352 | 41 | 215 | 110 | 555 | 729 | 624 | 256 | 430 | 325 |
526 | 700 | 595 | 311 | 485 | 380 | 15 | 189 | 84 | 499 | 673 | 568 | 284 | 458 | 353 | 69 | 243 | 138 | 553 | 727 | 622 | 257 | 431 | 326 | 42 | 216 | 111 |
312 | 486 | 381 | 13 | 187 | 82 | 527 | 701 | 596 | 285 | 459 | 354 | 67 | 241 | 136 | 500 | 674 | 569 | 258 | 432 | 327 | 40 | 214 | 109 | 554 | 728 | 623 |
182 | 86 | 17 | 696 | 600 | 531 | 478 | 382 | 313 | 236 | 140 | 71 | 669 | 573 | 504 | 451 | 355 | 286 | 209 | 113 | 44 | 723 | 627 | 558 | 424 | 328 | 259 |
694 | 598 | 529 | 479 | 383 | 314 | 183 | 87 | 18 | 667 | 571 | 502 | 452 | 356 | 287 | 237 | 141 | 72 | 721 | 625 | 556 | 425 | 329 | 260 | 210 | 114 | 45 |
480 | 384 | 315 | 181 | 85 | 16 | 695 | 599 | 530 | 453 | 357 | 288 | 235 | 139 | 70 | 668 | 572 | 503 | 426 | 330 | 261 | 208 < |