{"id":36,"date":"2019-03-09T14:41:28","date_gmt":"2019-03-09T06:41:28","guid":{"rendered":"http:\/\/www.guanhaobo.cn\/?p=36"},"modified":"2019-03-09T14:41:28","modified_gmt":"2019-03-09T06:41:28","slug":"poj-1543-perfect-cubes","status":"publish","type":"post","link":"https:\/\/www.guanhaobo.cn\/?p=36","title":{"rendered":"POJ 1543 — Perfect Cubes"},"content":{"rendered":"

\u9898\u76ee\u5927\u610f<\/h4>\n

\u8f93\u5165\u4e00\u4e2a\u6b63\u6574\u6570N (N<=100)\uff0c\u6c42\u6240\u6709\u7684\u56db\u5143\u7ec4(a, b, c, d)\uff0c\u6ee1\u8db3 a^3 = b^3 + c^3 + d^3\uff0c\u5176\u4e2da,b,c,d\u5747\u4e3a\u6b63\u6574\u6570\u4e141<b<=c<=d<a<=N.<\/p>\n

<\/p>\n

\u9898\u76ee\u94fe\u63a5<\/h4>\n

http:\/\/poj.org\/problem?id=1543<\/a><\/p>\n

\u8f93\u5165<\/h4>\n

\u4e00\u4e2a\u6b63\u6574\u6570N<\/p>\n

\u8f93\u51fa<\/h4>\n

\u6bcf\u884c\u8f93\u51fa\u4e00\u4e2a\u6ee1\u8db3\u6761\u4ef6\u7684\u56db\u5143\u7ec4\u3002\u8f93\u51fa\u5f62\u5f0f\u4e3a\uff1aCube = a, Triple = (b,c,d)
\n\u6309\u7167a\u7684\u503c\uff0c\u4ece\u5c0f\u5230\u5927\u4f9d\u6b21\u8f93\u51fa\uff1b\u82e5a\u76f8\u540c\u5219\u6309b\u7684\u503c\u4ece\u5c0f\u5230\u5927\u4f9d\u6b21\u8f93\u51fa\uff1b\u4ee5\u6b64\u7c7b\u63a8\u3002\u5177\u4f53\u53c2\u89c1\u6837\u4f8b\u8f93\u51fa\u3002<\/p>\n

\u6837\u4f8b\u8f93\u5165<\/h4>\n
24\n<\/code><\/pre>\n
\u6837\u4f8b\u8f93\u51fa<\/h4>\n
Cube = 6, Triple = (3,4,5)\nCube = 12, Triple = (6,8,10)\nCube = 18, Triple = (2,12,16)\nCube = 18, Triple = (9,12,15)\nCube = 19, Triple = (3,10,18)\nCube = 20, Triple = (7,14,17)\nCube = 24, Triple = (12,16,20)\n<\/code><\/pre>\n
\u95ee\u9898\u5206\u6790<\/h4>\n
\u8fd9\u4e2a\u95ee\u9898\u5e76\u4e0d\u590d\u6742\uff0c\u53ea\u8981\u4f7f\u75284\u5c42\u5faa\u73af\u4e00\u4e00\u679a\u4e3ea\uff0cb\uff0cc\uff0cd\u7684\u503c\uff0c\u7136\u540e\u5bf9\u7b26\u5408\u6761\u4ef6\u7684\u60c5\u51b5\u8fdb\u884c\u8f93\u51fa\u5373\u53ef\u3002\u53e6\u5916\uff0c\u6211\u4eec\u6ce8\u610f\u5230\u8fd9\u4e2a\u95ee\u9898\u4e2d\u8981\u6c42\u8f93\u51fa\u987a\u5e8f\u662f\u4ece\u5c0f\u5230\u5927\u8f93\u51fa\uff0c\u5148\u4ee5a\u4e3a\u6807\u51c6\uff0c\u82e5a\u76f8\u540c\u5219\u4ee5b\u4e3a\u6807\u51c6\uff0c\u4ee5\u6b64\u7c7b\u63a8\u3002\u6240\u4ee5\u5728\u679a\u4e3e\u65f6\u6700\u5916\u5c42\u5230\u6700\u5185\u5c42\u5206\u522b\u4e3aa\uff0cb\uff0cc\uff0cd\u5373\u53ef\u3002<\/p>\n
AC\u4ee3\u7801<\/h4>\n
#include <stdio.h>\nint main()\n{\n    int n, a, b, c, d;\n    scanf(\"%d\", &n);\n    for (a = 3; a <= n; a++)\n        for (b = 2; b < a; b++)\n            for (c = b; c < a; c++)\n                for (d = c; d < a; d++)\n                    if (a * a * a == b * b * b + c * c * c + d * d * d)\n                        printf(\"Cube = %d, Triple = (%d,%d,%d)\\n\", a, b, c, d);\n    return 0;\n}\n<\/code><\/pre>\n
\u6ce8\u610f\u4e8b\u9879<\/h4>\n
1\u3001\u6b64\u9898\u6570\u636e\u6bd4\u8f83\u5c0f\uff0c\u8fd9\u4e2a\u4ee3\u7801\u5e76\u6ca1\u6709\u5bf9\u679a\u4e3e\u8fdb\u884c\u4f18\u5316\uff0c\u5b9e\u9645\u4e0a\u5f88\u591a\u679a\u4e3e\u662f\u4e0d\u5fc5\u8981\u7684\u3002
\n2\u3001\u8c03\u7528\u51fd\u6570\u6709\u5f00\u9500\uff0c\u6b64\u9898\u5982\u679c\u8c03\u7528pow\u51fd\u6570\u6765\u6c42\u7acb\u65b9\uff0c\u5f88\u5bb9\u6613\u8d85\u65f6\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u9898\u76ee\u5927\u610f \u8f93\u5165\u4e00\u4e2a\u6b63\u6574\u6570N (N<=100)\uff0c\u6c42\u6240\u6709\u7684\u56db\u5143\u7ec4(a, b, c, d)\uff0c\u6ee1\u8db3 a^3 =  […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[25,53],"class_list":["post-36","post","type-post","status-publish","format-standard","hentry","category-algo","tag-poj","tag-53"],"_links":{"self":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/posts\/36","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=36"}],"version-history":[{"count":0,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=\/wp\/v2\/posts\/36\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=36"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=36"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.guanhaobo.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=36"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}