Talk:Sum to 100: Difference between revisions
Content added Content deleted
m (→extra credit: moved the complete list of solutions of "9" from the "page" area.) |
(→complete list of the number of solutions for zero ──► 300: added a new talk section.) |
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solution: 9 ◄───► 12-34-56+78+9 |
solution: 9 ◄───► 12-34-56+78+9 |
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46 solutions found for 9 |
46 solutions found for 9 |
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</pre> |
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==complete list of the number of solutions for zero ──► 300== |
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For those that are interested in the density of solutions: |
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<pre> |
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22 solutions found for 0 |
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43 solutions found for 1 |
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18 solutions found for 2 |
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41 solutions found for 3 |
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18 solutions found for 4 |
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40 solutions found for 5 |
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24 solutions found for 6 |
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39 solutions found for 7 |
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18 solutions found for 8 |
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46 solutions found for 9 |
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17 solutions found for 10 |
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38 solutions found for 11 |
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27 solutions found for 12 |
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38 solutions found for 13 |
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24 solutions found for 14 |
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43 solutions found for 15 |
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18 solutions found for 16 |
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39 solutions found for 17 |
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23 solutions found for 18 |
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37 solutions found for 19 |
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23 solutions found for 20 |
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43 solutions found for 21 |
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25 solutions found for 22 |
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36 solutions found for 23 |
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32 solutions found for 24 |
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36 solutions found for 25 |
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25 solutions found for 26 |
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44 solutions found for 27 |
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25 solutions found for 28 |
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35 solutions found for 29 |
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34 solutions found for 30 |
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31 solutions found for 31 |
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26 solutions found for 32 |
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37 solutions found for 33 |
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24 solutions found for 34 |
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35 solutions found for 35 |
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32 solutions found for 36 |
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32 solutions found for 37 |
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27 solutions found for 38 |
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37 solutions found for 39 |
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31 solutions found for 40 |
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26 solutions found for 41 |
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34 solutions found for 42 |
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34 solutions found for 43 |
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29 solutions found for 44 |
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42 solutions found for 45 |
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27 solutions found for 46 |
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27 solutions found for 47 |
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35 solutions found for 48 |
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26 solutions found for 49 |
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28 solutions found for 50 |
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35 solutions found for 51 |
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29 solutions found for 52 |
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33 solutions found for 53 |
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30 solutions found for 54 |
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26 solutions found for 55 |
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23 solutions found for 56 |
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29 solutions found for 57 |
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32 solutions found for 58 |
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25 solutions found for 59 |
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33 solutions found for 60 |
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30 solutions found for 61 |
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24 solutions found for 62 |
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34 solutions found for 63 |
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22 solutions found for 64 |
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26 solutions found for 65 |
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32 solutions found for 66 |
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30 solutions found for 67 |
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25 solutions found for 68 |
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29 solutions found for 69 |
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22 solutions found for 70 |
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25 solutions found for 71 |
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26 solutions found for 72 |
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24 solutions found for 73 |
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22 solutions found for 74 |
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26 solutions found for 75 |
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25 solutions found for 76 |
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22 solutions found for 77 |
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24 solutions found for 78 |
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25 solutions found for 79 |
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19 solutions found for 80 |
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31 solutions found for 81 |
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20 solutions found for 82 |
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23 solutions found for 83 |
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25 solutions found for 84 |
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21 solutions found for 85 |
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18 solutions found for 86 |
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23 solutions found for 87 |
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17 solutions found for 88 |
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24 solutions found for 89 |
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21 solutions found for 90 |
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22 solutions found for 91 |
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21 solutions found for 92 |
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23 solutions found for 93 |
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17 solutions found for 94 |
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17 solutions found for 95 |
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19 solutions found for 96 |
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21 solutions found for 97 |
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15 solutions found for 98 |
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25 solutions found for 99 |
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12 solutions found for 100 |
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18 solutions found for 101 |
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19 solutions found for 102 |
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14 solutions found for 103 |
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14 solutions found for 104 |
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18 solutions found for 105 |
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18 solutions found for 106 |
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17 solutions found for 107 |
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19 solutions found for 108 |
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12 solutions found for 109 |
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14 solutions found for 110 |
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19 solutions found for 111 |
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13 solutions found for 112 |
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12 solutions found for 113 |
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17 solutions found for 114 |
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15 solutions found for 115 |
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14 solutions found for 116 |
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20 solutions found for 117 |
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13 solutions found for 118 |
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11 solutions found for 119 |
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18 solutions found for 120 |
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10 solutions found for 121 |
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9 solutions found for 122 |
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13 solutions found for 123 |
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12 solutions found for 124 |
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12 solutions found for 125 |
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19 solutions found for 126 |
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8 solutions found for 127 |
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12 solutions found for 128 |
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12 solutions found for 129 |
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13 solutions found for 130 |
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7 solutions found for 131 |
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15 solutions found for 132 |
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14 solutions found for 133 |
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8 solutions found for 134 |
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16 solutions found for 135 |
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10 solutions found for 136 |
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5 solutions found for 137 |
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15 solutions found for 138 |
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7 solutions found for 139 |
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10 solutions found for 140 |
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10 solutions found for 141 |
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10 solutions found for 142 |
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9 solutions found for 143 |
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14 solutions found for 144 |
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8 solutions found for 145 |
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8 solutions found for 146 |
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11 solutions found for 147 |
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9 solutions found for 148 |
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6 solutions found for 149 |
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10 solutions found for 150 |
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9 solutions found for 151 |
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6 solutions found for 152 |
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13 solutions found for 153 |
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9 solutions found for 154 |
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6 solutions found for 155 |
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10 solutions found for 156 |
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8 solutions found for 157 |
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4 solutions found for 158 |
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8 solutions found for 159 |
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5 solutions found for 160 |
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4 solutions found for 161 |
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11 solutions found for 162 |
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5 solutions found for 163 |
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6 solutions found for 164 |
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7 solutions found for 165 |
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4 solutions found for 166 |
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5 solutions found for 167 |
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3 solutions found for 168 |
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8 solutions found for 169 |
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4 solutions found for 170 |
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10 solutions found for 171 |
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6 solutions found for 172 |
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4 solutions found for 173 |
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5 solutions found for 174 |
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3 solutions found for 175 |
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1 solution found for 176 |
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6 solutions found for 177 |
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3 solutions found for 178 |
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3 solutions found for 179 |
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7 solutions found for 180 |
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2 solutions found for 181 |
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4 solutions found for 182 |
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4 solutions found for 183 |
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3 solutions found for 184 |
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5 solutions found for 185 |
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4 solutions found for 186 |
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5 solutions found for 187 |
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4 solutions found for 188 |
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6 solutions found for 189 |
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6 solutions found for 190 |
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1 solution found for 191 |
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4 solutions found for 192 |
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2 solutions found for 193 |
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1 solution found for 194 |
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4 solutions found for 195 |
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1 solution found for 196 |
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3 solutions found for 197 |
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7 solutions found for 198 |
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3 solutions found for 199 |
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3 solutions found for 200 |
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4 solutions found for 201 |
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2 solutions found for 202 |
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3 solutions found for 203 |
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2 solutions found for 204 |
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2 solutions found for 205 |
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2 solutions found for 206 |
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6 solutions found for 207 |
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4 solutions found for 208 |
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1 solution found for 209 |
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5 solutions found for 210 |
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no solutions found for 211 |
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4 solutions found for 212 |
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1 solution found for 213 |
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3 solutions found for 214 |
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1 solution found for 215 |
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6 solutions found for 216 |
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1 solution found for 217 |
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3 solutions found for 218 |
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no solutions found for 219 |
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3 solutions found for 220 |
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no solutions found for 221 |
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4 solutions found for 222 |
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1 solution found for 223 |
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4 solutions found for 224 |
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2 solutions found for 225 |
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5 solutions found for 226 |
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no solutions found for 227 |
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4 solutions found for 228 |
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no solutions found for 229 |
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3 solutions found for 230 |
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2 solutions found for 231 |
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2 solutions found for 232 |
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no solutions found for 233 |
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5 solutions found for 234 |
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no solutions found for 235 |
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3 solutions found for 236 |
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1 solution found for 237 |
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3 solutions found for 238 |
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no solutions found for 239 |
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6 solutions found for 240 |
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no solutions found for 241 |
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5 solutions found for 242 |
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3 solutions found for 243 |
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6 solutions found for 244 |
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2 solutions found for 245 |
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5 solutions found for 246 |
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no solutions found for 247 |
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2 solutions found for 248 |
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3 solutions found for 249 |
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2 solutions found for 250 |
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2 solutions found for 251 |
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7 solutions found for 252 |
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1 solution found for 253 |
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4 solutions found for 254 |
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2 solutions found for 255 |
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5 solutions found for 256 |
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2 solutions found for 257 |
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7 solutions found for 258 |
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1 solution found for 259 |
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4 solutions found for 260 |
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3 solutions found for 261 |
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3 solutions found for 262 |
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1 solution found for 263 |
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4 solutions found for 264 |
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4 solutions found for 265 |
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2 solutions found for 266 |
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5 solutions found for 267 |
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2 solutions found for 268 |
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2 solutions found for 269 |
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6 solutions found for 270 |
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2 solutions found for 271 |
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1 solution found for 272 |
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3 solutions found for 273 |
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1 solution found for 274 |
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1 solution found for 275 |
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3 solutions found for 276 |
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no solutions found for 277 |
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4 solutions found for 278 |
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3 solutions found for 279 |
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4 solutions found for 280 |
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4 solutions found for 281 |
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2 solutions found for 282 |
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4 solutions found for 283 |
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no solutions found for 284 |
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2 solutions found for 285 |
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no solutions found for 286 |
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no solutions found for 287 |
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2 solutions found for 288 |
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1 solution found for 289 |
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1 solution found for 290 |
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2 solutions found for 291 |
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1 solution found for 292 |
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1 solution found for 293 |
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3 solutions found for 294 |
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1 solution found for 295 |
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3 solutions found for 296 |
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2 solutions found for 297 |
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2 solutions found for 298 |
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2 solutions found for 299 |
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no solutions found for 300 |
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sum of 9 has the maximum number of solutions: 46 |
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sums of 211 219 221 227 229 233 235 239 241 247 277 284 286 287 300 have the minimum number of solutions: 0 |
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</pre> |
</pre> |