{"trustable":false,"prependHtml":"\u003cscript\u003e window.katexOptions \u003d { disable: true }; \u003c/script\u003e\n\u003cscript type\u003d\"text/x-mathjax-config\"\u003e\n MathJax.Hub.Config({\n tex2jax: {\n inlineMath: [[\u0027$$$\u0027,\u0027$$$\u0027], [\u0027$\u0027,\u0027$\u0027]],\n displayMath: [[\u0027$$$$$$\u0027,\u0027$$$$$$\u0027], [\u0027$$\u0027,\u0027$$\u0027]]\n }\n });\n\u003c/script\u003e\n\u003cscript async src\u003d\"https://mathjax.codeforces.org/MathJax.js?config\u003dTeX-AMS-MML_HTMLorMML\" type\u003d\"text/javascript\"\u003e\u003c/script\u003e","sections":[{"title":"","value":{"format":"MD","content":"有$n$种类型的砖块,每种类型的砖块都有无限个,第$i$块砖块的长宽高分别用$(x_i,y_i,z_i)$来表示\n 同时,由于砖块是可以旋转的,每个砖块的3条边可以组成6种不同的长宽高\n 在构建塔时,当且仅当A砖块的长和宽都分别小于B砖块的长和宽时,A砖块才能放到B砖块的上面\n 你的任务是计算最高可以堆出的砖块们的高度。"}},{"title":"Input","value":{"format":"MD","content":"输入文件包含多组测试数据\n 每个测试用例的第一行包含一个整数$n$,代表不同种类的砖块数目$n \\leq 30$\n 接下来$n$行,每行$3$个数,分别表示砖块的长宽高\n当$n\u003d0$的时候,程序结束\n"}},{"title":"Output","value":{"format":"MD","content":"对于每组测试数据,输出最大高度\n格式:Case第几组数据: maximum height \u003d 最大高度"}},{"title":"Sample Input","value":{"format":"MD","content":"\u003cdiv\u003e \n \u003cdiv\u003e\n 1\n \u003c/div\u003e \n \u003cdiv\u003e \n \u003cdiv\u003e\n 10 20 30\n \u003cbr\u003e 2\n \u003cbr\u003e 6 8 10\n \u003cbr\u003e 5 5 5\n \u003cbr\u003e 7\n \u003cbr\u003e 1 1 1\n \u003cbr\u003e 2 2 2\n \u003cbr\u003e 3 3 3\n \u003cbr\u003e 4 4 4\n \u003cbr\u003e 5 5 5\n \u003cbr\u003e 6 6 6\n \u003cbr\u003e 7 7 7\n \u003cbr\u003e 5\n \u003cbr\u003e 31 41 59\n \u003cbr\u003e 26 53 58\n \u003cbr\u003e 97 93 23\n \u003cbr\u003e 84 62 64\n \u003cbr\u003e 33 83 27\n \u003cbr\u003e 0\u0026nbsp;\n \u003c/div\u003e \n \u003c/div\u003e \n\u003c/div\u003e"}},{"title":"Sample Output","value":{"format":"MD","content":"\u003cdiv\u003e \n \u003cdiv\u003e\n Case 1: maximum height \u003d 40\n \u003c/div\u003e \n \u003cdiv\u003e \n \u003cdiv\u003e\n Case 2: maximum height \u003d 21\n \u003cbr\u003e Case 3: maximum height \u003d 28\n \u003cbr\u003e Case 4: maximum height \u003d 342\u0026nbsp;\n \u003c/div\u003e \n \u003c/div\u003e \n\u003c/div\u003e"}}]}