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发表于 2020-10-30 15:52:05
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本帖最后由 dlpg070 于 2020-10-30 16:00 编辑
在如下条件 ( 正放,1个立放,2个立放) 求解条件最优解, n<=1200,结果如下
1个立放的条件最优解 有 39项,略去清单
2个立放的条件最优解 有 11项,
2个以上立放的可能有,没有统计
不知考虑3立放以后还剩多少,不知考虑斜排后,还能剩下多少
mylist各元素说明:{n:正方形个数,u:列数,v:行数,w:修正数 <0 空余数,>0 立放个数,a:正方形边长,an:边长的近似值,nh:水平立放个数,nv:垂直立放数,0:未用}
\(\begin{array}{lll}
26 & 1 & \left\{26,4,6,2,\frac{2 \sqrt{2}+1}{2 \left(\sqrt{2}+6\right)+4},0.203332,2,0,0\right\} \\
56 & 1 & \left\{56,6,9,2,\frac{\sqrt{2}+2}{2 \sqrt{2}+21},0.143283,0,2,0\right\} \\
119 & 1 & \left\{119,9,13,2,\frac{2 \sqrt{2}+1}{2 \left(\sqrt{2}+13\right)+9},0.101205,2,0,0\right\} \\
178 & 1 & \left\{178,11,16,2,\frac{\sqrt{2}+2}{2 \sqrt{2}+38},0.0836234,0,2,0\right\} \\
282 & 1 & \left\{282,14,20,2,\frac{2 \sqrt{2}+1}{2 \left(\sqrt{2}+20\right)+14},0.0673682,2,0,0\right\} \\
370 & 1 & \left\{370,16,23,2,\frac{2 \sqrt{2}+1}{2 \left(\sqrt{2}+23\right)+16},0.0590548,2,0,0\right\} \\
470 & 1 & \left\{470,18,26,2,\frac{\sqrt{2}+2}{2 \sqrt{2}+62},0.0526654,0,2,0\right\} \\
632 & 1 & \left\{632,21,30,2,\frac{2 \sqrt{2}+1}{2 \left(\sqrt{2}+30\right)+21},0.0456698,2,0,0\right\} \\
761 & 1 & \left\{761,23,33,2,\frac{\sqrt{2}+2}{2 \sqrt{2}+79},0.0417241,0,2,0\right\} \\
964 & 1 & \left\{964,26,37,2,\frac{2 \sqrt{2}+1}{2 \left(\sqrt{2}+37\right)+26},0.0372312,2,0,0\right\} \\
1122 & 1 & \left\{1122,28,40,2,\frac{\sqrt{2}+2}{2 \sqrt{2}+96},0.0345469,0,2,0\right\} \\
\end{array}\) |
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