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2016年1月30日中午1:10分，來自黑龍江齊齊哈爾的◆訊息◆
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万老师你好：制作一款依(序)曲线16阶类自然数幻方，请查收。
黑龙江省泰来县李绍祥
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來稿時間：2016年1月30日中午1:10分。
貼博客時間：2016年1月31日。
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李紹祥的特色，是一對一對的連續數字貫穿整個幻方。
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◆(1)，電腦欣賞版
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0 |
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K=2 |
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0 |
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K=3 |
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8290843 |
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17 | 18 | 121 | 122 | -81 | -82 | -57 | -58 | -149 | -150 | -253 | -254 | 213 | 214 | 189 | 190 | 0 |
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289 | 324 | 14641 | 14884 | -6561 | -6724 | -3249 | -3364 | -22201 | -22500 | -64009 | -64516 | 45369 | 45796 | 35721 | 36100 | 0 |
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4913 | 5832 | 1771561 | 1815848 | -531441 | -551368 | -185193 | -195112 | -3307949 | -3375000 | -16194277 | -16387064 | 9663597 | 9800344 | 6751269 | 6859000 | -4055040 | -8114993 |
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240 | 239 | 136 | 135 | -176 | -175 | -200 | -199 | -108 | -107 | -4 | -3 | 44 | 43 | 68 | 67 | 0 |
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57600 | 57121 | 18496 | 18225 | -30976 | -30625 | -40000 | -39601 | -11664 | -11449 | -16 | -9 | 1936 | 1849 | 4624 | 4489 | 0 |
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13824000 | 13651919 | 2515456 | 2460375 | -5451776 | -5359375 | -8000000 | -7880599 | -1259712 | -1225043 | -64 | -27 | 85184 | 79507 | 314432 | 300763 | 4055040 | -5713920 |
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137 | 138 | 225 | 226 | -201 | -202 | -161 | -162 | -13 | -14 | -101 | -102 | 77 | 78 | 37 | 38 | 0 |
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18769 | 19044 | 50625 | 51076 | -40401 | -40804 | -25921 | -26244 | -169 | -196 | -10201 | -10404 | 5929 | 6084 | 1369 | 1444 | 0 |
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2571353 | 2628072 | 11390625 | 11543176 | -8120601 | -8242408 | -4173281 | -4251528 | -2197 | -2744 | -1030301 | -1061208 | 456533 | 474552 | 50653 | 54872 | 2285568 | 1999783 |
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120 | 119 | 32 | 31 | -56 | -55 | -96 | -95 | -244 | -243 | -156 | -155 | 180 | 179 | 220 | 219 | 0 |
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14400 | 14161 | 1024 | 961 | -3136 | -3025 | -9216 | -9025 | -59536 | -59049 | -24336 | -24025 | 32400 | 32041 | 48400 | 47961 | 0 |
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1728000 | 1685159 | 32768 | 29791 | -175616 | -166375 | -884736 | -857375 | -14526784 | -14348907 | -3796416 | -3723875 | 5832000 | 5735339 | 10648000 | 10503459 | -2285568 | -6299136 |
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241 | 242 | 153 | 154 | -177 | -178 | -217 | -218 | -117 | -118 | -29 | -30 | 53 | 54 | 93 | 94 | 0 |
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58081 | 58564 | 23409 | 23716 | -31329 | -31684 | -47089 | -47524 | -13689 | -13924 | -841 | -900 | 2809 | 2916 | 8649 | 8836 | 0 |
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13997521 | 14172488 | 3581577 | 3652264 | -5545233 | -5639752 | -10218313 | -10360232 | -1601613 | -1643032 | -24389 | -27000 | 148877 | 157464 | 804357 | 830584 | 2285568 | -9426385 |
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16 | 15 | 104 | 103 | -80 | -79 | -40 | -39 | -140 | -139 | -228 | -227 | 204 | 203 | 164 | 163 | 0 |
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256 | 225 | 10816 | 10609 | -6400 | -6241 | -1600 | -1521 | -19600 | -19321 | -51984 | -51529 | 41616 | 41209 | 26896 | 26569 | 0 |
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4096 | 3375 | 1124864 | 1092727 | -512000 | -493039 | -64000 | -59319 | -2744000 | -2685619 | -11852352 | -11697083 | 8489664 | 8365427 | 4410944 | 4330747 | -2285568 | -4575232 |
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105 | 106 | 1 | 2 | -41 | -42 | -65 | -66 | -237 | -238 | -133 | -134 | 173 | 174 | 197 | 198 | 0 |
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11025 | 11236 | 1 | 4 | -1681 | -1764 | -4225 | -4356 | -56169 | -56644 | -17689 | -17956 | 29929 | 30276 | 38809 | 39204 | 0 |
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1157625 | 1191016 | 1 | 8 | -68921 | -74088 | -274625 | -287496 | -13312053 | -13481272 | -2352637 | -2406104 | 5177717 | 5268024 | 7645373 | 7762392 | -4055040 | -9267705 |
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152 | 151 | 256 | 255 | -216 | -215 | -192 | -191 | -20 | -19 | -124 | -123 | 84 | 83 | 60 | 59 | 0 |
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23104 | 22801 | 65536 | 65025 | -46656 | -46225 | -36864 | -36481 | -400 | -361 | -15376 | -15129 | 7056 | 6889 | 3600 | 3481 | 0 |
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3511808 | 3442951 | 16777216 | 16581375 | -10077696 | -9938375 | -7077888 | -6967871 | -8000 | -6859 | -1906624 | -1860867 | 592704 | 571787 | 216000 | 205379 | 4055040 | 4598272 |
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-9 | -10 | -97 | -98 | 73 | 74 | 33 | 34 | 141 | 142 | 229 | 230 | -205 | -206 | -165 | -166 | 0 |
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-81 | -100 | -9409 | -9604 | 5329 | 5476 | 1089 | 1156 | 19881 | 20164 | 52441 | 52900 | -42025 | -42436 | -27225 | -27556 | 0 |
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-729 | -1000 | -912673 | -941192 | 389017 | 405224 | 35937 | 39304 | 2803221 | 2863288 | 12008989 | 12167000 | -8615125 | -8741816 | -4492125 | -4574296 | 2433024 | 4866777 |
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-248 | -247 | -160 | -159 | 184 | 183 | 224 | 223 | 116 | 115 | 28 | 27 | -52 | -51 | -92 | -91 | 0 |
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-61504 | -61009 | -25600 | -25281 | 33856 | 33489 | 50176 | 49729 | 13456 | 13225 | 784 | 729 | -2704 | -2601 | -8464 | -8281 | 0 |
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-15252992 | -15069223 | -4096000 | -4019679 | 6229504 | 6128487 | 11239424 | 11089567 | 1560896 | 1520875 | 21952 | 19683 | -140608 | -132651 | -778688 | -753571 | -2433024 | 10386944 |
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-145 | -146 | -249 | -250 | 209 | 210 | 185 | 186 | 21 | 22 | 125 | 126 | -85 | -86 | -61 | -62 | 0 |
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-21025 | -21316 | -62001 | -62500 | 43681 | 44100 | 34225 | 34596 | 441 | 484 | 15625 | 15876 | -7225 | -7396 | -3721 | -3844 | 0 |
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-3048625 | -3112136 | -15438249 | -15625000 | 9129329 | 9261000 | 6331625 | 6434856 | 9261 | 10648 | 1953125 | 2000376 | -614125 | -636056 | -226981 | -238328 | -3809280 | -4569935 |
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-112 | -111 | -8 | -7 | 48 | 47 | 72 | 71 | 236 | 235 | 132 | 131 | -172 | -171 | -196 | -195 | 0 |
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-12544 | -12321 | -64 | -49 | 2304 | 2209 | 5184 | 5041 | 55696 | 55225 | 17424 | 17161 | -29584 | -29241 | -38416 | -38025 | 0 |
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-1404928 | -1367631 | -512 | -343 | 110592 | 103823 | 373248 | 357911 | 13144256 | 12977875 | 2299968 | 2248091 | -5088448 | -5000211 | -7529536 | -7414875 | 3809280 | 9023488 |
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-233 | -234 | -129 | -130 | 169 | 170 | 193 | 194 | 109 | 110 | 5 | 6 | -45 | -46 | -69 | -70 | 0 |
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-54289 | -54756 | -16641 | -16900 | 28561 | 28900 | 37249 | 37636 | 11881 | 12100 | 25 | 36 | -2025 | -2116 | -4761 | -4900 | 0 |
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-12649337 | -12812904 | -2146689 | -2197000 | 4826809 | 4913000 | 7189057 | 7301384 | 1295029 | 1331000 | 125 | 216 | -91125 | -97336 | -328509 | -343000 | -3809280 | 5030777 |
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-24 | -23 | -128 | -127 | 88 | 87 | 64 | 63 | 148 | 147 | 252 | 251 | -212 | -211 | -188 | -187 | 0 |
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-576 | -529 | -16384 | -16129 | 7744 | 7569 | 4096 | 3969 | 21904 | 21609 | 63504 | 63001 | -44944 | -44521 | -35344 | -34969 | 0 |
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-13824 | -12167 | -2097152 | -2048383 | 681472 | 658503 | 262144 | 250047 | 3241792 | 3176523 | 16003008 | 15813251 | -9528128 | -9393931 | -6644672 | -6539203 | 3809280 | 7632384 |
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-113 | -114 | -25 | -26 | 49 | 50 | 89 | 90 | 245 | 246 | 157 | 158 | -181 | -182 | -221 | -222 | 0 |
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-12769 | -12996 | -625 | -676 | 2401 | 2500 | 7921 | 8100 | 60025 | 60516 | 24649 | 24964 | -32761 | -33124 | -48841 | -49284 | 0 |
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-1442897 | -1481544 | -15625 | -17576 | 117649 | 125000 | 704969 | 729000 | 14706125 | 14886936 | 3869893 | 3944312 | -5929741 | -6028568 | -10793861 | -10941048 | 2433024 | 6308945 |
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-144 | -143 | -232 | -231 | 208 | 207 | 168 | 167 | 12 | 11 | 100 | 99 | -76 | -75 | -36 | -35 | 0 |
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-20736 | -20449 | -53824 | -53361 | 43264 | 42849 | 28224 | 27889 | 144 | 121 | 10000 | 9801 | -5776 | -5625 | -1296 | -1225 | 0 |
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-2985984 | -2924207 | -12487168 | -12326391 | 8998912 | 8869743 | 4741632 | 4657463 | 1728 | 1331 | 1000000 | 970299 | -438976 | -421875 | -46656 | -42875 | -2433024 | -1880064 |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -12429312 |
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17 | 18 | 121 | 122 | -81 | -82 | -57 | -58 | -149 | -150 | -253 | -254 | 213 | 214 | 189 | 190 | 0 | 0 |
|
289 | 324 | 14641 | 14884 | -6561 | -6724 | -3249 | -3364 | -22201 | -22500 | -64009 | -64516 | 45369 | 45796 | 35721 | 36100 | 0 | 0 |
|
4913 | 5832 | 1771561 | 1815848 | -531441 | -551368 | -185193 | -195112 | -3307949 | -3375000 | -16194277 | -16387064 | 9663597 | 9800344 | 6751269 | 6859000 | 0 | 0 |
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240 | 239 | 136 | 135 | -176 | -175 | -200 | -199 | -108 | -107 | -4 | -3 | 44 | 43 | 68 | 67 | 0 | 0 |
|
57600 | 57121 | 18496 | 18225 | -30976 | -30625 | -40000 | -39601 | -11664 | -11449 | -16 | -9 | 1936 | 1849 | 4624 | 4489 | 0 | 0 |
|
13824000 | 13651919 | 2515456 | 2460375 | -5451776 | -5359375 | -8000000 | -7880599 | -1259712 | -1225043 | -64 | -27 | 85184 | 79507 | 314432 | 300763 |
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137 | 138 | 225 | 226 | -201 | -202 | -161 | -162 | -13 | -14 | -101 | -102 | 77 | 78 | 37 | 38 | 0 | 0 |
|
18769 | 19044 | 50625 | 51076 | -40401 | -40804 | -25921 | -26244 | -169 | -196 | -10201 | -10404 | 5929 | 6084 | 1369 | 1444 | 0 | 0 |
|
2571353 | 2628072 | 11390625 | 11543176 | -8120601 | -8242408 | -4173281 | -4251528 | -2197 | -2744 | -1030301 | -1061208 | 456533 | 474552 | 50653 | 54872 | 0 | 0 |
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120 | 119 | 32 | 31 | -56 | -55 | -96 | -95 | -244 | -243 | -156 | -155 | 180 | 179 | 220 | 219 | 0 | 0 |
|
14400 | 14161 | 1024 | 961 | -3136 | -3025 | -9216 | -9025 | -59536 | -59049 | -24336 | -24025 | 32400 | 32041 | 48400 | 47961 | 0 | 0 |
|
1728000 | 1685159 | 32768 | 29791 | -175616 | -166375 | -884736 | -857375 | -14526784 | -14348907 | -3796416 | -3723875 | 5832000 | 5735339 | 10648000 | 10503459 |
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241 | 242 | 153 | 154 | -177 | -178 | -217 | -218 | -117 | -118 | -29 | -30 | 53 | 54 | 93 | 94 | 0 | 0 |
|
58081 | 58564 | 23409 | 23716 | -31329 | -31684 | -47089 | -47524 | -13689 | -13924 | -841 | -900 | 2809 | 2916 | 8649 | 8836 | 0 | 0 |
|
13997521 | 14172488 | 3581577 | 3652264 | -5545233 | -5639752 | -10218313 | -10360232 | -1601613 | -1643032 | -24389 | -27000 | 148877 | 157464 | 804357 | 830584 | 0 | 0 |
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16 | 15 | 104 | 103 | -80 | -79 | -40 | -39 | -140 | -139 | -228 | -227 | 204 | 203 | 164 | 163 | 0 | 0 |
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256 | 225 | 10816 | 10609 | -6400 | -6241 | -1600 | -1521 | -19600 | -19321 | -51984 | -51529 | 41616 | 41209 | 26896 | 26569 | 0 | 0 |
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4096 | 3375 | 1124864 | 1092727 | -512000 | -493039 | -64000 | -59319 | -2744000 | -2685619 | -11852352 | -11697083 | 8489664 | 8365427 | 4410944 | 4330747 |
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105 | 106 | 1 | 2 | -41 | -42 | -65 | -66 | -237 | -238 | -133 | -134 | 173 | 174 | 197 | 198 | 0 | 0 |
|
11025 | 11236 | 1 | 4 | -1681 | -1764 | -4225 | -4356 | -56169 | -56644 | -17689 | -17956 | 29929 | 30276 | 38809 | 39204 | 0 | 0 |
|
1157625 | 1191016 | 1 | 8 | -68921 | -74088 | -274625 | -287496 | -13312053 | -13481272 | -2352637 | -2406104 | 5177717 | 5268024 | 7645373 | 7762392 | 0 | 0 |
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152 | 151 | 256 | 255 | -216 | -215 | -192 | -191 | -20 | -19 | -124 | -123 | 84 | 83 | 60 | 59 | 0 | 0 |
|
23104 | 22801 | 65536 | 65025 | -46656 | -46225 | -36864 | -36481 | -400 | -361 | -15376 | -15129 | 7056 | 6889 | 3600 | 3481 | 0 | 0 |
|
3511808 | 3442951 | 16777216 | 16581375 | -10077696 | -9938375 | -7077888 | -6967871 | -8000 | -6859 | -1906624 | -1860867 | 592704 | 571787 | 216000 | 205379 |
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-9 | -10 | -97 | -98 | 73 | 74 | 33 | 34 | 141 | 142 | 229 | 230 | -205 | -206 | -165 | -166 | 0 | 0 |
|
-81 | -100 | -9409 | -9604 | 5329 | 5476 | 1089 | 1156 | 19881 | 20164 | 52441 | 52900 | -42025 | -42436 | -27225 | -27556 | 0 | 0 |
|
-729 | -1000 | -912673 | -941192 | 389017 | 405224 | 35937 | 39304 | 2803221 | 2863288 | 12008989 | 12167000 | -8615125 | -8741816 | -4492125 | -4574296 | 0 | 0 |
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-248 | -247 | -160 | -159 | 184 | 183 | 224 | 223 | 116 | 115 | 28 | 27 | -52 | -51 | -92 | -91 | 0 | 0 |
|
-61504 | -61009 | -25600 | -25281 | 33856 | 33489 | 50176 | 49729 | 13456 | 13225 | 784 | 729 | -2704 | -2601 | -8464 | -8281 | 0 | 0 |
|
-15252992 | -15069223 | -4096000 | -4019679 | 6229504 | 6128487 | 11239424 | 11089567 | 1560896 | 1520875 | 21952 | 19683 | -140608 | -132651 | -778688 | -753571 |
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-145 | -146 | -249 | -250 | 209 | 210 | 185 | 186 | 21 | 22 | 125 | 126 | -85 | -86 | -61 | -62 | 0 | 0 |
|
-21025 | -21316 | -62001 | -62500 | 43681 | 44100 | 34225 | 34596 | 441 | 484 | 15625 | 15876 | -7225 | -7396 | -3721 | -3844 | 0 | 0 |
|
-3048625 | -3112136 | -15438249 | -15625000 | 9129329 | 9261000 | 6331625 | 6434856 | 9261 | 10648 | 1953125 | 2000376 | -614125 | -636056 | -226981 | -238328 | 0 | 0 |
|
|
-112 | -111 | -8 | -7 | 48 | 47 | 72 | 71 | 236 | 235 | 132 | 131 | -172 | -171 | -196 | -195 | 0 | 0 |
|
-12544 | -12321 | -64 | -49 | 2304 | 2209 | 5184 | 5041 | 55696 | 55225 | 17424 | 17161 | -29584 | -29241 | -38416 | -38025 | 0 | 0 |
|
-1404928 | -1367631 | -512 | -343 | 110592 | 103823 | 373248 | 357911 | 13144256 | 12977875 | 2299968 | 2248091 | -5088448 | -5000211 | -7529536 | -7414875 |
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|
-233 | -234 | -129 | -130 | 169 | 170 | 193 | 194 | 109 | 110 | 5 | 6 | -45 | -46 | -69 | -70 | 0 | 0 |
|
-54289 | -54756 | -16641 | -16900 | 28561 | 28900 | 37249 | 37636 | 11881 | 12100 | 25 | 36 | -2025 | -2116 | -4761 | -4900 | 0 | 0 |
|
-12649337 | -12812904 | -2146689 | -2197000 | 4826809 | 4913000 | 7189057 | 7301384 | 1295029 | 1331000 | 125 | 216 | -91125 | -97336 | -328509 | -343000 | 0 | 0 |
|
|
-24 | -23 | -128 | -127 | 88 | 87 | 64 | 63 | 148 | 147 | 252 | 251 | -212 | -211 | -188 | -187 | 0 | 0 |
|
-576 | -529 | -16384 | -16129 | 7744 | 7569 | 4096 | 3969 | 21904 | 21609 | 63504 | 63001 | -44944 | -44521 | -35344 | -34969 | 0 | 0 |
|
-13824 | -12167 | -2097152 | -2048383 | 681472 | 658503 | 262144 | 250047 | 3241792 | 3176523 | 16003008 | 15813251 | -9528128 | -9393931 | -6644672 | -6539203 |
|
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|
|
-113 | -114 | -25 | -26 | 49 | 50 | 89 | 90 | 245 | 246 | 157 | 158 | -181 | -182 | -221 | -222 | 0 | 0 |
|
-12769 | -12996 | -625 | -676 | 2401 | 2500 | 7921 | 8100 | 60025 | 60516 | 24649 | 24964 | -32761 | -33124 | -48841 | -49284 | 0 | 0 |
|
-1442897 | -1481544 | -15625 | -17576 | 117649 | 125000 | 704969 | 729000 | 14706125 | 14886936 | 3869893 | 3944312 | -5929741 | -6028568 | -10793861 | -10941048 | 0 | 0 |
|
|
-144 | -143 | -232 | -231 | 208 | 207 | 168 | 167 | 12 | 11 | 100 | 99 | -76 | -75 | -36 | -35 |
|
|
|
-20736 | -20449 | -53824 | -53361 | 43264 | 42849 | 28224 | 27889 | 144 | 121 | 10000 | 9801 | -5776 | -5625 | -1296 | -1225 |
|
|
|
-2985984 | -2924207 | -12487168 | -12326391 | 8998912 | 8869743 | 4741632 | 4657463 | 1728 | 1331 | 1000000 | 970299 | -438976 | -421875 | -46656 | -42875 |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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0 |
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0 |
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0 |
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0 |
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0 |
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0 |
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0 |
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0 |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
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0 |
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0 |
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0 |
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0 |
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◆(2)，手機欣賞版
※※※※※※END