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See for explanation about Medjig method to construct a magic square: 6x6 magic square.
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You can construct a Medjig 32x32x32 magic cube by using two grids. The first grid consists of 8x magic 16x16x16 cube consisting of 8x Dwane Campbell's Nasik 8x8x8 magic cube. The second grid consist of the Medjig grid, which has been used to construct the Medjig 16x16x16 magic cube. See the grids and result of level 1 below.
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Take 1x number from first grid with 8x Nasik 16x16x16 (8x Campbell's 8x8x8) [level 1]
1 | 1 | 764 | 764 | 3381 | 3381 | 4048 | 4048 | 3217 | 3217 | 3692 | 3692 | 421 | 421 | 864 | 864 | 145 | 145 | 620 | 620 | 3493 | 3493 | 3936 | 3936 | 3073 | 3073 | 3836 | 3836 | 309 | 309 | 976 | 976 |
1 | 1 | 764 | 764 | 3381 | 3381 | 4048 | 4048 | 3217 | 3217 | 3692 | 3692 | 421 | 421 | 864 | 864 | 145 | 145 | 620 | 620 | 3493 | 3493 | 3936 | 3936 | 3073 | 3073 | 3836 | 3836 | 309 | 309 | 976 | 976 |
3501 | 3501 | 3928 | 3928 | 153 | 153 | 612 | 612 | 317 | 317 | 968 | 968 | 3081 | 3081 | 3828 | 3828 | 3389 | 3389 | 4040 | 4040 | 9 | 9 | 756 | 756 | 429 | 429 | 856 | 856 | 3225 | 3225 | 3684 | 3684 |
3501 | 3501 | 3928 | 3928 | 153 | 153 | 612 | 612 | 317 | 317 | 968 | 968 | 3081 | 3081 | 3828 | 3828 | 3389 | 3389 | 4040 | 4040 | 9 | 9 | 756 | 756 | 429 | 429 | 856 | 856 | 3225 | 3225 | 3684 | 3684 |
732 | 732 | 33 | 33 | 4080 | 4080 | 3349 | 3349 | 3660 | 3660 | 3249 | 3249 | 896 | 896 | 389 | 389 | 588 | 588 | 177 | 177 | 3968 | 3968 | 3461 | 3461 | 3804 | 3804 | 3105 | 3105 | 1008 | 1008 | 277 | 277 |
732 | 732 | 33 | 33 | 4080 | 4080 | 3349 | 3349 | 3660 | 3660 | 3249 | 3249 | 896 | 896 | 389 | 389 | 588 | 588 | 177 | 177 | 3968 | 3968 | 3461 | 3461 | 3804 | 3804 | 3105 | 3105 | 1008 | 1008 | 277 | 277 |
3960 | 3960 | 3469 | 3469 | 580 | 580 | 185 | 185 | 1000 | 1000 | 285 | 285 | 3796 | 3796 | 3113 | 3113 | 4072 | 4072 | 3357 | 3357 | 724 | 724 | 41 | 41 | 888 | 888 | 397 | 397 | 3652 | 3652 | 3257 | 3257 |
3960 | 3960 | 3469 | 3469 | 580 | 580 | 185 | 185 | 1000 | 1000 | 285 | 285 | 3796 | 3796 | 3113 | 3113 | 4072 | 4072 | 3357 | 3357 | 724 | 724 | 41 | 41 | 888 | 888 | 397 | 397 | 3652 | 3652 | 3257 | 3257 |
514 | 514 | 251 | 251 | 3894 | 3894 | 3535 | 3535 | 3730 | 3730 | 3179 | 3179 | 934 | 934 | 351 | 351 | 658 | 658 | 107 | 107 | 4006 | 4006 | 3423 | 3423 | 3586 | 3586 | 3323 | 3323 | 822 | 822 | 463 | 463 |
514 | 514 | 251 | 251 | 3894 | 3894 | 3535 | 3535 | 3730 | 3730 | 3179 | 3179 | 934 | 934 | 351 | 351 | 658 | 658 | 107 | 107 | 4006 | 4006 | 3423 | 3423 | 3586 | 3586 | 3323 | 3323 | 822 | 822 | 463 | 463 |
4014 | 4014 | 3415 | 3415 | 666 | 666 | 99 | 99 | 830 | 830 | 455 | 455 | 3594 | 3594 | 3315 | 3315 | 3902 | 3902 | 3527 | 3527 | 522 | 522 | 243 | 243 | 942 | 942 | 343 | 343 | 3738 | 3738 | 3171 | 3171 |
4014 | 4014 | 3415 | 3415 | 666 | 666 | 99 | 99 | 830 | 830 | 455 | 455 | 3594 | 3594 | 3315 | 3315 | 3902 | 3902 | 3527 | 3527 | 522 | 522 | 243 | 243 | 942 | 942 | 343 | 343 | 3738 | 3738 | 3171 | 3171 |
219 | 219 | 546 | 546 | 3567 | 3567 | 3862 | 3862 | 3147 | 3147 | 3762 | 3762 | 383 | 383 | 902 | 902 | 75 | 75 | 690 | 690 | 3455 | 3455 | 3974 | 3974 | 3291 | 3291 | 3618 | 3618 | 495 | 495 | 790 | 790 |
219 | 219 | 546 | 546 | 3567 | 3567 | 3862 | 3862 | 3147 | 3147 | 3762 | 3762 | 383 | 383 | 902 | 902 | 75 | 75 | 690 | 690 | 3455 | 3455 | 3974 | 3974 | 3291 | 3291 | 3618 | 3618 | 495 | 495 | 790 | 790 |
3447 | 3447 | 3982 | 3982 | 67 | 67 | 698 | 698 | 487 | 487 | 798 | 798 | 3283 | 3283 | 3626 | 3626 | 3559 | 3559 | 3870 | 3870 | 211 | 211 | 554 | 554 | 375 | 375 | 910 | 910 | 3139 | 3139 | 3770 | 3770 |
3447 | 3447 | 3982 | 3982 | 67 | 67 | 698 | 698 | 487 | 487 | 798 | 798 | 3283 | 3283 | 3626 | 3626 | 3559 | 3559 | 3870 | 3870 | 211 | 211 | 554 | 554 | 375 | 375 | 910 | 910 | 3139 | 3139 | 3770 | 3770 |
2 | 2 | 763 | 763 | 3382 | 3382 | 4047 | 4047 | 3218 | 3218 | 3691 | 3691 | 422 | 422 | 863 | 863 | 146 | 146 | 619 | 619 | 3494 | 3494 | 3935 | 3935 | 3074 | 3074 | 3835 | 3835 | 310 | 310 | 975 | 975 |
2 | 2 | 763 | 763 | 3382 | 3382 | 4047 | 4047 | 3218 | 3218 | 3691 | 3691 | 422 | 422 | 863 | 863 | 146 | 146 | 619 | 619 | 3494 | 3494 | 3935 | 3935 | 3074 | 3074 | 3835 | 3835 | 310 | 310 | 975 | 975 |
3502 | 3502 | 3927 | 3927 | 154 | 154 | 611 | 611 | 318 | 318 | 967 | 967 | 3082 | 3082 | 3827 | 3827 | 3390 | 3390 | 4039 | 4039 | 10 | 10 | 755 | 755 | 430 | 430 | 855 | 855 | 3226 | 3226 | 3683 | 3683 |
3502 | 3502 | 3927 | 3927 | 154 | 154 | 611 | 611 | 318 | 318 | 967 | 967 | 3082 | 3082 | 3827 | 3827 | 3390 | 3390 | 4039 | 4039 | 10 | 10 | 755 | 755 | 430 | 430 | 855 | 855 | 3226 | 3226 | 3683 | 3683 |
731 | 731 | 34 | 34 | 4079 | 4079 | 3350 | 3350 | 3659 | 3659 | 3250 | 3250 | 895 | 895 | 390 | 390 | 587 | 587 | 178 | 178 | 3967 | 3967 | 3462 | 3462 | 3803 | 3803 | 3106 | 3106 | 1007 | 1007 | 278 | 278 |
731 | 731 | 34 | 34 | 4079 | 4079 | 3350 | 3350 | 3659 | 3659 | 3250 | 3250 | 895 | 895 | 390 | 390 | 587 | 587 | 178 | 178 | 3967 | 3967 | 3462 | 3462 | 3803 | 3803 | 3106 | 3106 | 1007 | 1007 | 278 | 278 |
3959 | 3959 | 3470 | 3470 | 579 | 579 | 186 | 186 | 999 | 999 | 286 | 286 | 3795 | 3795 | 3114 | 3114 | 4071 | 4071 | 3358 | 3358 | 723 | 723 | 42 | 42 | 887 | 887 | 398 | 398 | 3651 | 3651 | 3258 | 3258 |
3959 | 3959 | 3470 | 3470 | 579 | 579 | 186 | 186 | 999 | 999 | 286 | 286 | 3795 | 3795 | 3114 | 3114 | 4071 | 4071 | 3358 | 3358 | 723 | 723 | 42 | 42 | 887 | 887 | 398 | 398 | 3651 | 3651 | 3258 | 3258 |
513 | 513 | 252 | 252 | 3893 | 3893 | 3536 | 3536 | 3729 | 3729 | 3180 | 3180 | 933 | 933 | 352 | 352 | 657 | 657 | 108 | 108 | 4005 | 4005 | 3424 | 3424 | 3585 | 3585 | 3324 | 3324 | 821 | 821 | 464 | 464 |
513 | 513 | 252 | 252 | 3893 | 3893 | 3536 | 3536 | 3729 | 3729 | 3180 | 3180 | 933 | 933 | 352 | 352 | 657 | 657 | 108 | 108 | 4005 | 4005 | 3424 | 3424 | 3585 | 3585 | 3324 | 3324 | 821 | 821 | 464 | 464 |
4013 | 4013 | 3416 | 3416 | 665 | 665 | 100 | 100 | 829 | 829 | 456 | 456 | 3593 | 3593 | 3316 | 3316 | 3901 | 3901 | 3528 | 3528 | 521 | 521 | 244 | 244 | 941 | 941 | 344 | 344 | 3737 | 3737 | 3172 | 3172 |
4013 | 4013 | 3416 | 3416 | 665 | 665 | 100 | 100 | 829 | 829 | 456 | 456 | 3593 | 3593 | 3316 | 3316 | 3901 | 3901 | 3528 | 3528 | 521 | 521 | 244 | 244 | 941 | 941 | 344 | 344 | 3737 | 3737 | 3172 | 3172 |
220 | 220 | 545 | 545 | 3568 | 3568 | 3861 | 3861 | 3148 | 3148 | 3761 | 3761 | 384 | 384 | 901 | 901 | 76 | 76 | 689 | 689 | 3456 | 3456 | 3973 | 3973 | 3292 | 3292 | 3617 | 3617 | 496 | 496 | 789 | 789 |
220 | 220 | 545 | 545 | 3568 | 3568 | 3861 | 3861 | 3148 | 3148 | 3761 | 3761 | 384 | 384 | 901 | 901 | 76 | 76 | 689 | 689 | 3456 | 3456 | 3973 | 3973 | 3292 | 3292 | 3617 | 3617 | 496 | 496 | 789 | 789 |
3448 | 3448 | 3981 | 3981 | 68 | 68 | 697 | 697 | 488 | 488 | 797 | 797 | 3284 | 3284 | 3625 | 3625 | 3560 | 3560 | 3869 | 3869 | 212 | 212 | 553 | 553 | 376 | 376 | 909 | 909 | 3140 | 3140 | 3769 | 3769 |
3448 | 3448 | 3981 | 3981 | 68 | 68 | 697 | 697 | 488 | 488 | 797 | 797 | 3284 | 3284 | 3625 | 3625 | 3560 | 3560 | 3869 | 3869 | 212 | 212 | 553 | 553 | 376 | 376 | 909 | 909 | 3140 | 3140 | 3769 | 3769 |
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+4096x number from second grid with 2x2x2 Medjig blocks with numbers 0-7 [level 1]
0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 |
3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 |
4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 |
7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 |
0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 |
3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 |
4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 |
7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 |
0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 |
3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 |
4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 |
7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 |
0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 |
3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 |
4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 |
7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 |
0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 |
3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 |
4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 |
7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 |
0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 |
3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 |
4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 |
7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 |
0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 |
3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 |
4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 |
7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 |
0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 |
3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 |
4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 | 4 | 2 | 7 | 1 | 3 | 5 | 0 | 6 |
7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 | 7 | 1 | 4 | 2 | 0 | 6 | 3 | 5 |
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= 32x32x32 Nasik magic cube consisting of 8x Nasik 16x16x16 cube [level 1]
1 | 24577 | 13052 | 21244 | 32053 | 7477 | 20432 | 12240 | 3217 | 27793 | 15980 | 24172 | 29093 | 4517 | 17248 | 9056 | 145 | 24721 | 12908 | 21100 | 32165 | 7589 | 20320 | 12128 | 3073 | 27649 | 16124 | 24316 | 28981 | 4405 | 17360 | 9168 |
12289 | 20481 | 764 | 25340 | 19765 | 11573 | 32720 | 8144 | 15505 | 23697 | 3692 | 28268 | 16805 | 8613 | 29536 | 4960 | 12433 | 20625 | 620 | 25196 | 19877 | 11685 | 32608 | 8032 | 15361 | 23553 | 3836 | 28412 | 16693 | 8501 | 29648 | 5072 |
19885 | 11693 | 32600 | 8024 | 12441 | 20633 | 612 | 25188 | 16701 | 8509 | 29640 | 5064 | 15369 | 23561 | 3828 | 28404 | 19773 | 11581 | 32712 | 8136 | 12297 | 20489 | 756 | 25332 | 16813 | 8621 | 29528 | 4952 | 15513 | 23705 | 3684 | 28260 |
32173 | 7597 | 20312 | 12120 | 153 | 24729 | 12900 | 21092 | 28989 | 4413 | 17352 | 9160 | 3081 | 27657 | 16116 | 24308 | 32061 | 7485 | 20424 | 12232 | 9 | 24585 | 13044 | 21236 | 29101 | 4525 | 17240 | 9048 | 3225 | 27801 | 15972 | 24164 |
732 | 25308 | 12321 | 20513 | 32752 | 8176 | 19733 | 11541 | 3660 | 28236 | 15537 | 23729 | 29568 | 4992 | 16773 | 8581 | 588 | 25164 | 12465 | 20657 | 32640 | 8064 | 19845 | 11653 | 3804 | 28380 | 15393 | 23585 | 29680 | 5104 | 16661 | 8469 |
13020 | 21212 | 33 | 24609 | 20464 | 12272 | 32021 | 7445 | 15948 | 24140 | 3249 | 27825 | 17280 | 9088 | 29061 | 4485 | 12876 | 21068 | 177 | 24753 | 20352 | 12160 | 32133 | 7557 | 16092 | 24284 | 3105 | 27681 | 17392 | 9200 | 28949 | 4373 |
20344 | 12152 | 32141 | 7565 | 12868 | 21060 | 185 | 24761 | 17384 | 9192 | 28957 | 4381 | 16084 | 24276 | 3113 | 27689 | 20456 | 12264 | 32029 | 7453 | 13012 | 21204 | 41 | 24617 | 17272 | 9080 | 29069 | 4493 | 15940 | 24132 | 3257 | 27833 |
32632 | 8056 | 19853 | 11661 | 580 | 25156 | 12473 | 20665 | 29672 | 5096 | 16669 | 8477 | 3796 | 28372 | 15401 | 23593 | 32744 | 8168 | 19741 | 11549 | 724 | 25300 | 12329 | 20521 | 29560 | 4984 |