Magic Squares 4x4

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  • 7/18/2019 Magic Squares 4x4

    1/39

    ******************************************************************Programmer: Marcel RoosCountry: HollandProfession: ResearchReligion: ChristianHobby: Programming, table tennis, chessE-mail: [email protected]

    Let me know if you have suggestions/comments/questions...

    Contact me if you want to buy the complete source code (consistingof 30 subroutines with about 1400 lines of Fortran 90 code withcomments) for 15 Euro.******************************************************************

    Magic squares 4x4Sum must be: 34

    Solution: 1 1 2 15 1612 14 3 513 7 10 4 8 11 6 9

    Solution: 2 1 2 15 1613 14 3 412 7 10 5 8 11 6 9

    Solution: 3 1 2 16 1513 14 4 312 7 9 6 8 11 5 10

    Solution: 4

    1 3 14 1610 13 4 715 6 11 2 8 12 5 9

    Solution: 5 1 3 14 1612 13 4 515 8 9 2 6 10 7 11

    Solution: 6 1 3 14 16

    15 13 4 210 6 11 7 8 12 5 9

    Solution: 7 1 3 14 1615 13 4 212 8 9 5 6 10 7 11

  • 7/18/2019 Magic Squares 4x4

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    Solution: 8 1 3 16 14 8 15 2 913 6 11 412 10 5 7

    Solution: 9 1 3 16 1412 15 2 513 10 7 4 8 6 9 11

    Solution: 10 1 3 16 1413 15 2 4 8 6 11 912 10 5 7

    Solution: 11 1 3 16 1413 15 2 412 10 7 5 8 6 9 11

    Solution: 12 1 4 13 16 8 15 2 914 5 12 311 10 7 6

    Solution: 13 1 4 13 16 8 14 3 915 5 12 210 11 6 7

    Solution: 14

    1 4 13 1612 15 2 514 9 8 3 7 6 11 10

    Solution: 15 1 4 13 1612 14 3 515 9 8 2 6 7 10 11

    Solution: 16 1 4 13 16

    14 15 2 3 8 5 12 911 10 7 6

    Solution: 17 1 4 13 1614 15 2 312 9 8 5 7 6 11 10

  • 7/18/2019 Magic Squares 4x4

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    Solution: 18 1 4 13 1615 14 3 2 8 5 12 910 11 6 7

    Solution: 19 1 4 13 1615 14 3 212 9 8 5 6 7 10 11

    Solution: 20 1 4 14 15 9 12 6 716 5 11 2 8 13 3 10

    Solution: 21 1 4 14 1513 16 2 3 8 5 11 1012 9 7 6

    Solution: 22 1 4 14 1513 16 2 312 9 7 6 8 5 11 10

    Solution: 23 1 4 14 1516 13 3 2 7 6 12 910 11 5 8

    Solution: 24

    1 4 14 1516 11 5 2 9 6 12 7 8 13 3 10

    Solution: 25 1 4 14 1516 13 3 211 10 8 5 6 7 9 12

    Solution: 26 1 4 15 14

    9 12 7 616 5 10 3 8 13 2 11

    Solution: 27 1 4 15 1413 16 3 2 8 5 10 1112 9 6 7

  • 7/18/2019 Magic Squares 4x4

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    Solution: 28 1 4 15 1413 16 3 212 9 6 7 8 5 10 11

    Solution: 29 1 4 15 1416 13 2 3 6 7 12 911 10 5 8

    Solution: 30 1 4 15 1416 10 5 3 9 7 12 6 8 13 2 11

    Solution: 31 1 4 15 1416 13 2 310 11 8 5 7 6 9 12

    Solution: 32 1 4 16 1314 15 3 2 7 6 10 1112 9 5 8

    Solution: 33 1 4 16 1314 15 3 211 10 6 7 8 5 9 12

    Solution: 34

    1 4 16 1315 14 2 3 6 7 11 1012 9 5 8

    Solution: 35 1 4 16 1315 14 2 310 11 7 6 8 5 9 12

    Solution: 36 1 5 12 16

    10 11 6 715 4 13 2 8 14 3 9

    Solution: 37 1 5 12 1614 11 6 315 8 9 2 4 10 7 13

  • 7/18/2019 Magic Squares 4x4

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    Solution: 38 1 5 12 1615 11 6 210 4 13 7 8 14 3 9

    Solution: 39 1 5 12 1615 11 6 214 8 9 3 4 10 7 13

    Solution: 40 1 5 16 12 8 14 3 910 4 13 715 11 2 6

    Solution: 41 1 5 16 1210 14 3 7 8 4 13 915 11 2 6

    Solution: 42 1 5 16 1210 14 3 715 11 6 2 8 4 9 13

    Solution: 43 1 5 16 1215 14 3 210 11 6 7 8 4 9 13

    Solution: 44

    1 6 11 16 7 15 2 1014 4 13 312 9 8 5

    Solution: 45 1 6 11 16 8 15 2 912 3 14 513 10 7 4

    Solution: 46 1 6 11 16

    8 12 5 915 3 14 210 13 4 7

    Solution: 47 1 6 11 1612 15 2 5 8 3 14 913 10 7 4

  • 7/18/2019 Magic Squares 4x4

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    Solution: 48 1 6 11 1612 10 7 513 3 14 4 8 15 2 9

    Solution: 49 1 6 11 1612 15 2 514 9 8 3 7 4 13 10

    Solution: 50 1 6 11 1613 10 7 412 3 14 5 8 15 2 9

    Solution: 51 1 6 11 1614 15 2 3 7 4 13 1012 9 8 5

    Solution: 52 1 6 11 1614 15 2 312 9 8 5 7 4 13 10

    Solution: 53 1 6 11 1614 12 5 315 9 8 2 4 7 10 13

    Solution: 54

    1 6 11 1615 12 5 2 8 3 14 910 13 4 7

    Solution: 55 1 6 11 1615 12 5 214 9 8 3 4 7 10 13

    Solution: 56 1 6 12 15

    11 16 2 5 8 3 13 1014 9 7 4

    Solution: 57 1 6 12 1511 16 2 514 9 7 4 8 3 13 10

  • 7/18/2019 Magic Squares 4x4

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    Solution: 58 1 6 12 1513 10 8 316 7 9 2 4 11 5 14

    Solution: 59 1 6 12 1516 11 5 2 7 4 14 910 13 3 8

    Solution: 60 1 6 12 1516 9 7 213 8 10 3 4 11 5 14

    Solution: 61 1 6 12 1516 11 5 213 10 8 3 4 7 9 14

    Solution: 62 1 6 15 1211 16 5 2 8 3 10 1314 9 4 7

    Solution: 63 1 6 15 1211 16 5 214 9 4 7 8 3 10 13

    Solution: 64

    1 6 15 1216 11 2 5 4 7 14 913 10 3 8

    Solution: 65 1 6 15 1216 11 2 510 13 8 3 7 4 9 14

    Solution: 66 1 6 16 11

    12 15 5 2 7 4 10 1314 9 3 8

    Solution: 67 1 6 16 1112 15 5 213 10 4 7 8 3 9 14

  • 7/18/2019 Magic Squares 4x4

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    Solution: 68 1 6 16 1115 12 2 5 4 7 13 1014 9 3 8

    Solution: 69 1 6 16 1115 12 2 510 13 7 4 8 3 9 14

    Solution: 70 1 7 10 16 8 14 3 912 2 15 513 11 6 4

    Solution: 71 1 7 10 16 8 12 5 914 2 15 311 13 4 6

    Solution: 72 1 7 10 1612 14 3 5 8 2 15 913 11 6 4

    Solution: 73 1 7 10 1612 9 8 515 4 13 2 6 14 3 11

    Solution: 74

    1 7 10 1612 14 3 515 9 8 2 6 4 13 11

    Solution: 75 1 7 10 1614 12 5 3 8 2 15 911 13 4 6

    Solution: 76 1 7 10 16

    14 9 8 315 6 11 2 4 12 5 13

    Solution: 77 1 7 10 1614 12 5 315 9 8 2 4 6 11 13

  • 7/18/2019 Magic Squares 4x4

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    Solution: 78 1 7 10 1615 9 8 212 4 13 5 6 14 3 11

    Solution: 79 1 7 10 1615 14 3 212 9 8 5 6 4 13 11

    Solution: 80 1 7 10 1615 9 8 214 6 11 3 4 12 5 13

    Solution: 81 1 7 10 1615 12 5 214 9 8 3 4 6 11 13

    Solution: 82 1 7 12 1410 16 3 5 8 2 13 1115 9 6 4

    Solution: 83 1 7 12 1410 16 3 515 9 6 4 8 2 13 11

    Solution: 84

    1 7 12 1416 10 5 3 6 4 15 911 13 2 8

    Solution: 85 1 7 12 1416 10 5 313 11 8 2 4 6 9 15

    Solution: 86 1 7 14 12

    8 13 2 11 9 4 15 616 10 3 5

    Solution: 87 1 7 14 12 9 15 4 6 8 2 13 1116 10 3 5

  • 7/18/2019 Magic Squares 4x4

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    Solution: 88 1 7 14 12 9 15 4 616 10 5 3 8 2 11 13

    Solution: 89 1 7 14 1210 16 5 3 8 2 11 1315 9 4 6

    Solution: 90 1 7 14 1210 16 5 315 9 4 6 8 2 11 13

    Solution: 91 1 7 14 1211 13 2 8 6 4 15 916 10 3 5

    Solution: 92 1 7 14 1216 10 3 5 4 6 15 913 11 2 8

    Solution: 93 1 7 14 1216 10 3 511 13 8 2 6 4 9 15

    Solution: 94

    1 7 16 1011 13 4 614 12 5 3 8 2 9 15

    Solution: 95 1 7 16 1012 14 5 3 6 4 11 1315 9 2 8

    Solution: 96 1 7 16 10

    12 14 5 313 11 4 6 8 2 9 15

    Solution: 97 1 7 16 1014 12 3 5 4 6 13 1115 9 2 8

  • 7/18/2019 Magic Squares 4x4

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    Solution: 98 1 7 16 1014 12 3 511 13 6 4 8 2 9 15

    Solution: 99 1 7 16 1014 13 4 311 12 5 6 8 2 9 15

    Solution: 100 1 8 9 1614 13 4 3 7 2 15 1012 11 6 5

    Solution: 101 1 8 10 1511 14 4 516 9 7 2 6 3 13 12

    Solution: 102 1 8 10 1512 13 3 6 7 2 16 914 11 5 4

    Solution: 103 1 8 10 1513 12 6 316 9 7 2 4 5 11 14

    Solution: 104

    1 8 10 1514 11 5 4 7 2 16 912 13 3 6

    Solution: 105 1 8 10 1516 13 3 2 5 4 14 1112 9 7 6

    Solution: 106 1 8 11 14

    10 15 4 516 9 6 3 7 2 13 12

    Solution: 107 1 8 11 1412 13 2 7 6 3 16 915 10 5 4

  • 7/18/2019 Magic Squares 4x4

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    Solution: 108 1 8 11 1413 12 7 216 9 6 3 4 5 10 15

    Solution: 109 1 8 11 1415 10 5 4 6 3 16 912 13 2 7

    Solution: 110 1 8 12 1310 15 3 6 7 2 14 1116 9 5 4

    Solution: 111 1 8 12 1311 14 2 7 6 3 15 1016 9 5 4

    Solution: 112 1 8 12 1314 11 7 215 10 6 3 4 5 9 16

    Solution: 113 1 8 12 1315 10 6 314 11 7 2 4 5 9 16

    Solution: 114

    1 8 13 1210 15 6 316 9 4 5 7 2 11 14

    Solution: 115 1 8 13 1211 14 7 216 9 4 5 6 3 10 15

    Solution: 116 1 8 13 12

    14 11 2 7 4 5 16 915 10 3 6

    Solution: 117 1 8 13 1215 10 3 6 4 5 16 914 11 2 7

  • 7/18/2019 Magic Squares 4x4

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    Solution: 118 1 8 13 1216 11 2 5 3 6 15 1014 9 4 7

    Solution: 119 1 8 14 1110 15 5 4 7 2 12 1316 9 3 6

    Solution: 120 1 8 14 1112 13 7 215 10 4 5 6 3 9 16

    Solution: 121 1 8 14 1113 12 2 7 4 5 15 1016 9 3 6

    Solution: 122 1 8 14 1115 10 4 512 13 7 2 6 3 9 16

    Solution: 123 1 8 15 1011 14 5 4 6 3 12 1316 9 2 7

    Solution: 124

    1 8 15 1012 13 6 314 11 4 5 7 2 9 16

    Solution: 125 1 8 15 1013 12 3 6 4 5 14 1116 9 2 7

    Solution: 126 1 8 15 10

    14 11 4 512 13 6 3 7 2 9 16

    Solution: 127 1 9 8 1614 15 2 3 7 4 13 1012 6 11 5

  • 7/18/2019 Magic Squares 4x4

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    Solution: 128 1 9 16 814 12 5 3 4 6 11 1315 7 2 10

    Solution: 129 1 9 16 815 12 5 2 4 7 10 1314 6 3 11

    Solution: 130 1 10 7 1612 15 2 5 8 3 14 913 6 11 4

    Solution: 131 1 10 7 1612 8 9 515 3 14 2 6 13 4 11

    Solution: 132 1 10 7 1612 13 4 515 8 9 2 6 3 14 11

    Solution: 133 1 10 7 1614 15 2 3 8 5 12 911 4 13 6

    Solution: 134

    1 10 7 1614 8 9 315 5 12 2 4 11 6 13

    Solution: 135 1 10 7 1614 11 6 315 8 9 2 4 5 12 13

    Solution: 136 1 10 7 16

    15 8 9 212 3 14 5 6 13 4 11

    Solution: 137 1 10 7 1615 13 4 212 8 9 5 6 3 14 11

  • 7/18/2019 Magic Squares 4x4

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    Solution: 138 1 10 7 1615 8 9 214 5 12 3 4 11 6 13

    Solution: 139 1 10 7 1615 11 6 214 8 9 3 4 5 12 13

    Solution: 140 1 10 8 1516 13 3 2 5 4 14 1112 7 9 6

    Solution: 141 1 10 8 1516 7 9 211 4 14 5 6 13 3 12

    Solution: 142 1 10 8 1516 7 9 213 6 12 3 4 11 5 14

    Solution: 143 1 10 15 812 13 6 3 5 4 11 1416 7 2 9

    Solution: 144

    1 10 15 814 11 4 5 3 6 13 1216 7 2 9

    Solution: 145 1 10 15 816 7 2 9 4 11 14 513 6 3 12

    Solution: 146 1 10 15 8

    16 6 3 9 5 11 14 412 7 2 13

    Solution: 147 1 10 15 816 7 2 9 6 13 12 311 4 5 14

  • 7/18/2019 Magic Squares 4x4

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    Solution: 148 1 10 16 715 8 2 9 4 11 13 614 5 3 12

    Solution: 149 1 10 16 715 8 2 9 6 13 11 412 3 5 14

    Solution: 150 1 11 6 1612 14 3 5 8 2 15 913 7 10 4

    Solution: 151 1 11 6 1612 14 3 513 7 10 4 8 2 15 9

    Solution: 152 1 11 6 1612 8 9 514 2 15 3 7 13 4 10

    Solution: 153 1 11 6 1613 14 3 412 7 10 5 8 2 15 9

    Solution: 154

    1 11 6 1614 13 4 3 7 2 15 1012 8 9 5

    Solution: 155 1 11 6 1614 8 9 312 2 15 5 7 13 4 10

    Solution: 156 1 11 6 16

    14 8 9 315 5 12 2 4 10 7 13

    Solution: 157 1 11 6 1615 14 3 2 8 5 12 910 4 13 7

  • 7/18/2019 Magic Squares 4x4

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    Solution: 158 1 11 6 1615 8 9 214 5 12 3 4 10 7 13

    Solution: 159 1 11 8 1416 6 9 310 4 15 5 7 13 2 12

    Solution: 160 1 11 8 1416 6 9 313 7 12 2 4 10 5 15

    Solution: 161 1 11 14 816 6 3 9 4 10 15 513 7 2 12

    Solution: 162 1 11 14 816 5 4 9 7 12 13 210 6 3 15

    Solution: 163 1 11 14 816 6 3 9 7 13 12 210 4 5 15

    Solution: 164

    1 11 16 614 8 3 9 4 10 13 715 5 2 12

    Solution: 165 1 11 16 614 8 3 9 7 13 10 412 2 5 15

    Solution: 166 1 12 5 16

    14 9 8 315 6 11 2 4 7 10 13

    Solution: 167 1 12 5 1615 13 4 210 6 11 7 8 3 14 9

  • 7/18/2019 Magic Squares 4x4

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    Solution: 168 1 12 5 1615 9 8 214 6 11 3 4 7 10 13

    Solution: 169 1 12 6 1513 8 10 316 5 11 2 4 9 7 14

    Solution: 170 1 12 6 1513 10 8 316 7 9 2 4 5 11 14

    Solution: 171 1 12 6 1514 7 9 411 2 16 5 8 13 3 10

    Solution: 172 1 12 6 1516 9 7 213 8 10 3 4 5 11 14

    Solution: 173 1 12 7 1413 8 11 216 5 10 3 4 9 6 15

    Solution: 174

    1 12 7 1415 6 9 410 3 16 5 8 13 2 11

    Solution: 175 1 12 8 1314 7 11 215 6 10 3 4 9 5 16

    Solution: 176 1 12 8 13

    15 6 10 314 7 11 2 4 9 5 16

    Solution: 177 1 12 13 814 7 2 11 4 9 16 515 6 3 10

  • 7/18/2019 Magic Squares 4x4

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    Solution: 178 1 12 13 815 10 3 6 2 7 14 1116 5 4 9

    Solution: 179 1 12 13 815 6 3 10 4 9 16 514 7 2 11

    Solution: 180 1 12 13 816 9 4 5 2 7 14 1115 6 3 10

    Solution: 181 1 12 13 816 7 2 9 3 10 15 614 5 4 11

    Solution: 182 1 12 14 713 8 2 11 4 9 15 616 5 3 10

    Solution: 183 1 12 14 715 6 4 9 8 13 11 210 3 5 16

    Solution: 184

    1 12 15 613 8 3 10 4 9 14 716 5 2 11

    Solution: 185 1 12 15 614 9 4 7 3 8 13 1016 5 2 11

    Solution: 186 1 12 15 6

    14 7 4 9 8 13 10 311 2 5 16

    Solution: 187 1 13 4 1614 12 5 3 8 2 15 911 7 10 6

  • 7/18/2019 Magic Squares 4x4

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    Solution: 188 1 13 4 1614 8 9 312 2 15 5 7 11 6 10

    Solution: 189 1 13 4 1615 12 5 2 8 3 14 910 6 11 7

    Solution: 190 1 13 4 1615 8 9 212 3 14 5 6 10 7 11

    Solution: 191 1 13 8 1216 11 2 5 3 6 15 1014 4 9 7

    Solution: 192 1 13 8 1216 4 9 510 6 15 3 7 11 2 14

    Solution: 193 1 13 8 1216 4 9 511 7 14 2 6 10 3 15

    Solution: 194

    1 13 12 815 10 3 6 2 7 14 1116 4 5 9

    Solution: 195 1 13 12 816 7 2 9 3 10 15 614 4 5 11

    Solution: 196 1 13 12 8

    16 4 5 9 6 10 15 311 7 2 14

    Solution: 197 1 13 12 816 4 5 9 7 11 14 210 6 3 15

  • 7/18/2019 Magic Squares 4x4

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    Solution: 198 1 14 3 1615 11 6 210 4 13 7 8 5 12 9

    Solution: 199 1 14 3 1615 9 8 212 4 13 5 6 7 10 11

    Solution: 200 1 14 4 1516 11 5 2 9 6 12 7 8 3 13 10

    Solution: 201 1 14 7 1215 4 9 610 5 16 3 8 11 2 13

    Solution: 202 1 14 7 1216 5 10 3 9 4 15 6 8 11 2 13

    Solution: 203 1 14 8 1115 4 10 512 7 13 2 6 9 3 16

    Solution: 204

    1 14 11 815 4 5 10 6 9 16 312 7 2 13

    Solution: 205 1 14 11 816 5 4 9 7 12 13 210 3 6 15

    Solution: 206 1 14 12 7

    15 4 6 9 8 11 13 210 5 3 16

    Solution: 207 1 15 4 1416 10 5 3 9 7 12 6 8 2 13 11

  • 7/18/2019 Magic Squares 4x4

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    Solution: 208 1 15 10 816 6 3 9 5 11 14 412 2 7 13

    Solution: 209 2 1 15 1614 13 3 411 8 10 5 7 12 6 9

    Solution: 210 2 1 16 1511 13 4 614 8 9 3 7 12 5 10

    Solution: 211 2 1 16 1514 13 4 311 8 9 6 7 12 5 10

    Solution: 212 2 3 13 1610 11 5 815 6 12 1 7 14 4 9

    Solution: 213 2 3 13 1614 15 1 4 7 6 12 911 10 8 5

    Solution: 214

    2 3 13 1614 15 1 411 10 8 5 7 6 12 9

    Solution: 215 2 3 13 1615 14 4 1 8 5 11 10 9 12 6 7

    Solution: 216 2 3 13 16

    15 12 6 110 5 11 8 7 14 4 9

    Solution: 217 2 3 13 1615 14 4 112 9 7 6 5 8 10 11

  • 7/18/2019 Magic Squares 4x4

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    Solution: 218 2 3 14 15 7 16 1 1013 6 11 412 9 8 5

    Solution: 219 2 3 14 15 7 13 4 1016 6 11 1 9 12 5 8

    Solution: 220 2 3 14 15 8 16 1 911 5 12 613 10 7 4

    Solution: 221 2 3 14 1511 16 1 6 8 5 12 913 10 7 4

    Solution: 222 2 3 14 1511 16 1 613 10 7 4 8 5 12 9

    Solution: 223 2 3 14 1511 13 4 616 10 7 1 5 8 9 12

    Solution: 224

    2 3 14 1513 16 1 4 7 6 11 1012 9 8 5

    Solution: 225 2 3 14 1513 16 1 411 10 7 6 8 5 12 9

    Solution: 226 2 3 14 15

    16 13 4 1 7 6 11 10 9 12 5 8

    Solution: 227 2 3 14 1516 13 4 111 10 7 6 5 8 9 12

  • 7/18/2019 Magic Squares 4x4

    24/39

    Solution: 228 2 3 15 1413 16 4 1 8 5 9 1211 10 6 7

    Solution: 229 2 3 15 1413 16 4 112 9 5 8 7 6 10 11

    Solution: 230 2 3 15 1416 13 1 4 5 8 12 911 10 6 7

    Solution: 231 2 3 15 1416 13 1 4 9 12 8 5 7 6 10 11

    Solution: 232 2 3 16 1310 11 8 515 6 9 4 7 14 1 12

    Solution: 233 2 3 16 1314 15 4 1 7 6 9 1211 10 5 8

    Solution: 234

    2 3 16 1314 15 4 111 10 5 8 7 6 9 12

    Solution: 235 2 3 16 1315 14 1 4 5 8 11 1012 9 6 7

    Solution: 236 2 3 16 13

    15 14 1 4 9 12 7 6 8 5 10 11

    Solution: 237 2 3 16 1315 9 6 410 8 11 5 7 14 1 12

  • 7/18/2019 Magic Squares 4x4

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    Solution: 238 2 4 13 1514 16 3 1 7 5 10 1211 9 8 6

    Solution: 239 2 4 13 1514 16 3 111 9 6 8 7 5 12 10

    Solution: 240 2 4 13 1516 14 1 3 5 7 12 1011 9 8 6

    Solution: 241 2 4 13 1516 14 1 3 9 11 8 6 7 5 12 10

    Solution: 242 2 4 15 13 5 14 3 1216 7 10 111 9 6 8

    Solution: 243 2 4 15 13 9 14 3 816 11 6 1 7 5 10 12

    Solution: 244

    2 4 15 1316 14 3 1 5 7 10 1211 9 6 8

    Solution: 245 2 4 15 1316 14 3 1 9 11 6 8 7 5 10 12

    Solution: 246 2 5 11 16

    12 15 1 6 7 4 14 913 10 8 3

    Solution: 247 2 5 11 1612 15 1 613 10 8 3 7 4 14 9

  • 7/18/2019 Magic Squares 4x4

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    Solution: 248 2 5 11 1614 9 7 415 8 10 1 3 12 6 13

    Solution: 249 2 5 11 1615 12 6 1 8 3 13 10 9 14 4 7

    Solution: 250 2 5 11 1615 10 8 114 7 9 4 3 12 6 13

    Solution: 251 2 5 11 1615 12 6 114 9 7 4 3 8 10 13

    Solution: 252 2 5 12 15 7 16 1 1011 4 13 614 9 8 3

    Solution: 253 2 5 12 15 7 11 6 1016 4 13 1 9 14 3 8

    Solution: 254

    2 5 12 1511 16 1 6 7 4 13 1014 9 8 3

    Solution: 255 2 5 12 1511 16 1 613 10 7 4 8 3 14 9

    Solution: 256 2 5 12 15

    11 9 8 614 4 13 3 7 16 1 10

    Solution: 257 2 5 12 1513 16 1 411 10 7 6 8 3 14 9

  • 7/18/2019 Magic Squares 4x4

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    Solution: 258 2 5 12 1513 11 6 416 10 7 1 3 8 9 14

    Solution: 259 2 5 12 1514 9 8 311 4 13 6 7 16 1 10

    Solution: 260 2 5 12 1514 16 3 111 9 6 8 7 4 13 10

    Solution: 261 2 5 12 1516 11 6 1 7 4 13 10 9 14 3 8

    Solution: 262 2 5 12 1516 14 1 3 9 11 8 6 7 4 13 10

    Solution: 263 2 5 12 1516 11 6 113 10 7 4 3 8 9 14

    Solution: 264

    2 5 15 1211 16 6 1 8 3 9 1413 10 4 7

    Solution: 265 2 5 15 1211 16 6 114 9 3 8 7 4 10 13

    Solution: 266 2 5 15 12

    16 11 1 6 3 8 14 913 10 4 7

    Solution: 267 2 5 15 1216 11 1 6 9 14 8 3 7 4 10 13

  • 7/18/2019 Magic Squares 4x4

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    Solution: 268 2 5 16 11 8 12 1 13 9 7 14 415 10 3 6

    Solution: 269 2 5 16 1112 15 6 1 7 4 9 1413 10 3 8

    Solution: 270 2 5 16 1112 15 6 113 10 3 8 7 4 9 14

    Solution: 271 2 5 16 1113 12 1 8 4 7 14 915 10 3 6

    Solution: 272 2 5 16 1115 12 1 6 3 8 13 1014 9 4 7

    Solution: 273 2 5 16 1115 10 3 6 4 7 14 913 12 1 8

    Solution: 274

    2 5 16 1115 12 1 6 9 14 7 4 8 3 10 13

    Solution: 275 2 6 15 11 7 13 4 10 9 3 14 816 12 1 5

    Solution: 276 2 6 15 11

    9 13 4 8 7 3 14 1016 12 1 5

    Solution: 277 2 6 15 11 9 13 4 816 12 5 1 7 3 10 14

  • 7/18/2019 Magic Squares 4x4

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    Solution: 278 2 6 15 1116 13 4 1 9 12 5 8 7 3 10 14

    Solution: 279 2 7 9 1611 14 4 5 8 1 15 1013 12 6 3

    Solution: 280 2 7 9 1612 13 3 615 10 8 1 5 4 14 11

    Solution: 281 2 7 9 1613 12 6 3 8 1 15 1011 14 4 5

    Solution: 282 2 7 9 1614 11 5 415 10 8 1 3 6 12 13

    Solution: 283 2 7 9 1615 14 4 1 6 3 13 1211 10 8 5

    Solution: 284

    2 7 10 15 8 12 5 911 1 16 613 14 3 4

    Solution: 285 2 7 10 1511 12 5 6 8 1 16 913 14 3 4

    Solution: 286 2 7 11 14

    8 13 1 12 9 4 16 515 10 6 3

    Solution: 287 2 7 11 14 9 16 4 5 8 1 13 1215 10 6 3

  • 7/18/2019 Magic Squares 4x4

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    Solution: 288 2 7 11 1412 13 1 8 5 4 16 915 10 6 3

    Solution: 289 2 7 11 1413 12 8 116 9 5 4 3 6 10 15

    Solution: 290 2 7 11 1416 9 5 413 12 8 1 3 6 10 15

    Solution: 291 2 7 12 13 9 16 3 615 10 5 4 8 1 14 11

    Solution: 292 2 7 12 1311 14 1 8 5 4 15 1016 9 6 3

    Solution: 293 2 7 12 1314 11 8 115 10 5 4 3 6 9 16

    Solution: 294

    2 7 12 1316 9 6 3 5 4 15 1011 14 1 8

    Solution: 295 2 7 13 12 8 11 1 14 9 6 16 315 10 4 5

    Solution: 296 2 7 13 12

    9 16 6 3 8 1 11 1415 10 4 5

    Solution: 297 2 7 13 1211 14 8 116 9 3 6 5 4 10 15

  • 7/18/2019 Magic Squares 4x4

    31/39

    Solution: 298 2 7 13 1214 11 1 8 3 6 16 915 10 4 5

    Solution: 299 2 7 13 1216 9 3 611 14 8 1 5 4 10 15

    Solution: 300 2 7 14 11 8 10 3 13 9 5 16 415 12 1 6

    Solution: 301 2 7 14 11 9 16 5 415 10 3 6 8 1 12 13

    Solution: 302 2 7 14 1112 13 8 115 10 3 6 5 4 9 16

    Solution: 303 2 7 14 1113 12 1 8 3 6 15 1016 9 4 5

    Solution: 304

    2 7 14 1113 10 3 8 4 5 16 915 12 1 6

    Solution: 305 2 7 14 1116 9 4 5 3 6 15 1013 12 1 8

    Solution: 306 2 7 16 9

    11 14 5 413 12 3 6 8 1 10 15

    Solution: 307 2 7 16 912 13 6 3 5 4 11 1415 10 1 8

  • 7/18/2019 Magic Squares 4x4

    32/39

    Solution: 308 2 7 16 913 12 3 611 14 5 4 8 1 10 15

    Solution: 309 2 7 16 914 11 4 5 3 6 13 1215 10 1 8

    Solution: 310 2 8 9 1511 13 4 6 7 1 16 1014 12 5 3

    Solution: 311 2 8 9 1511 13 4 616 10 7 1 5 3 14 12

    Solution: 312 2 8 9 1513 11 6 4 7 1 16 1012 14 3 5

    Solution: 313 2 8 9 1513 11 6 416 10 7 1 3 5 12 14

    Solution: 314

    2 8 9 1516 13 4 111 10 7 6 5 3 14 12

    Solution: 315 2 8 9 1516 11 6 113 10 7 4 3 5 12 14

    Solution: 316 2 8 11 13

    9 15 4 6 7 1 14 1216 10 5 3

    Solution: 317 2 8 11 13 9 15 4 616 10 5 3 7 1 14 12

  • 7/18/2019 Magic Squares 4x4

    33/39

    Solution: 318 2 8 11 1310 16 5 3 7 1 12 1415 9 6 4

    Solution: 319 2 8 11 1310 16 5 315 9 4 6 7 1 14 12

    Solution: 320 2 8 11 1314 12 1 7 3 5 16 1015 9 6 4

    Solution: 321 2 8 11 1315 9 6 4 5 3 16 1012 14 1 7

    Solution: 322 2 8 11 1315 9 6 414 12 7 1 3 5 10 16

    Solution: 323 2 8 13 11 9 15 6 4 7 1 12 1416 10 3 5

    Solution: 324

    2 8 13 11 9 15 6 416 10 3 5 7 1 12 14

    Solution: 325 2 8 13 1115 9 4 6 3 5 16 1014 12 1 7

    Solution: 326 2 8 13 11

    15 9 4 612 14 7 1 5 3 10 16

    Solution: 327 2 8 15 911 13 6 4 5 3 12 1416 10 1 7

  • 7/18/2019 Magic Squares 4x4

    34/39

    Solution: 328 2 8 15 911 12 5 614 13 4 3 7 1 10 16

    Solution: 329 2 8 15 911 13 6 414 12 3 5 7 1 10 16

    Solution: 330 2 8 15 913 11 4 6 3 5 14 1216 10 1 7

    Solution: 331 2 8 15 913 11 4 612 14 5 3 7 1 10 16

    Solution: 332 2 8 15 914 12 5 311 13 4 6 7 1 10 16

    Solution: 333 2 9 7 1615 14 4 1 6 3 13 1211 8 10 5

    Solution: 334

    2 9 7 1615 8 10 112 3 13 6 5 14 4 11

    Solution: 335 2 9 7 1615 8 10 114 5 11 4 3 12 6 13

    Solution: 336 2 9 8 15

    11 16 1 6 7 4 13 1014 5 12 3

    Solution: 337 2 9 8 1511 7 10 616 4 13 1 5 14 3 12

  • 7/18/2019 Magic Squares 4x4

    35/39

    Solution: 338 2 9 8 1513 16 1 4 7 6 11 1012 3 14 5

    Solution: 339 2 9 8 1513 7 10 416 6 11 1 3 12 5 14

    Solution: 340 2 9 8 1514 16 3 1 7 5 10 1211 4 13 6

    Solution: 341 2 9 8 1516 14 1 3 5 7 12 1011 4 13 6

    Solution: 342 2 9 8 1516 7 10 111 4 13 6 5 14 3 12

    Solution: 343 2 9 8 1516 7 10 113 6 11 4 3 12 5 14

    Solution: 344

    2 9 15 816 7 1 10 3 12 14 513 6 4 11

    Solution: 345 2 9 15 816 7 1 10 5 14 12 311 4 6 13

    Solution: 346 2 9 16 7

    12 8 1 13 5 11 14 415 6 3 10

    Solution: 347 2 9 16 713 8 1 12 4 11 14 515 6 3 10

  • 7/18/2019 Magic Squares 4x4

    36/39

    Solution: 348 2 9 16 715 8 1 10 3 12 13 614 5 4 11

    Solution: 349 2 9 16 715 6 3 10 4 11 14 513 8 1 12

    Solution: 350 2 9 16 715 8 1 10 5 14 11 412 3 6 13

    Solution: 351 2 9 16 715 5 4 10 6 12 13 311 8 1 14

    Solution: 352 2 10 7 1511 16 1 6 8 5 12 913 3 14 4

    Solution: 353 2 10 15 713 11 6 4 3 5 12 1416 8 1 9

    Solution: 354

    2 10 15 716 11 6 1 3 8 9 1413 5 4 12

    Solution: 355 2 11 5 1613 8 10 312 1 15 6 7 14 4 9

    Solution: 356 2 11 5 16

    14 7 9 415 6 12 1 3 10 8 13

    Solution: 357 2 11 5 1614 9 7 415 8 10 1 3 6 12 13

  • 7/18/2019 Magic Squares 4x4

    37/39

    Solution: 358 2 11 5 1615 10 8 114 7 9 4 3 6 12 13

    Solution: 359 2 11 7 1412 13 1 8 5 4 16 915 6 10 3

    Solution: 360 2 11 7 1413 8 12 116 5 9 4 3 10 6 15

    Solution: 361 2 11 7 1416 5 9 413 8 12 1 3 10 6 15

    Solution: 362 2 11 8 1314 12 1 7 3 5 16 1015 6 9 4

    Solution: 363 2 11 8 1314 7 12 115 6 9 4 3 10 5 16

    Solution: 364

    2 11 8 1315 4 9 610 5 16 3 7 14 1 12

    Solution: 365 2 11 8 1316 5 10 3 9 4 15 6 7 14 1 12

    Solution: 366 2 11 13 8

    12 7 1 14 5 10 16 315 6 4 9

    Solution: 367 2 11 13 814 7 1 12 3 10 16 515 6 4 9

  • 7/18/2019 Magic Squares 4x4

    38/39

    Solution: 368 2 11 13 816 5 3 10 7 14 12 1 9 4 6 15

    Solution: 369 2 11 14 712 6 3 13 5 9 16 415 8 1 10

    Solution: 370 2 11 14 712 13 8 1 5 4 9 1615 6 3 10

    Solution: 371 2 11 14 713 8 1 12 3 10 15 616 5 4 9

    Solution: 372 2 11 14 713 6 3 12 4 9 16 515 8 1 10

    Solution: 373 2 11 14 715 10 3 6 1 8 13 1216 5 4 9

    Solution: 374

    2 11 14 715 4 5 10 8 13 12 1 9 6 3 16

    Solution: 375 2 11 14 716 9 4 5 1 8 13 1215 6 3 10

    Solution: 376 2 11 14 7

    16 5 4 9 3 10 15 613 8 1 12

    Solution: 377 2 11 16 513 8 3 10 7 14 9 412 1 6 15

  • 7/18/2019 Magic Squares 4x4

    39/39

    Solution: 378 2 11 16 514 7 4 9 3 10 13 815 6 1 12

    Solution: 379 2 12 5 1513 7 10 411 1 16 6 8 14 3 9