{"id":202,"date":"2025-03-15T05:19:57","date_gmt":"2025-03-15T05:19:57","guid":{"rendered":"http:\/\/west.wangyuansheng.cn\/?p=202"},"modified":"2025-07-18T06:04:28","modified_gmt":"2025-07-18T06:04:28","slug":"%e5%85%91%e6%8d%a2%e7%a1%ac%e5%b8%81","status":"publish","type":"post","link":"http:\/\/west.wangyuansheng.cn\/?p=202","title":{"rendered":"\u5151\u6362\u786c\u5e01"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">\u5206\u6790\u95ee\u9898<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u6211\u4eec\u9700\u8981\u5c06\u4e00\u5143\uff08100 \u5206\uff09\u5151\u6362\u4e3a 1 \u5206\u30012 \u5206\u548c 5 \u5206\u7684\u786c\u5e01\uff0c\u4e14\u6bcf\u79cd\u786c\u5e01\u81f3\u5c11\u4e00\u679a\u3002\u76ee\u6807\u662f\u8ba1\u7b97\u6240\u6709\u53ef\u80fd\u7684\u5151\u6362\u65b9\u5f0f\u6570\u76ee\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u7ea6\u675f\u6761\u4ef6<\/strong>\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u603b\u91d1\u989d\u4e3a 100 \u5206\uff1a 1x + 2y + 5z = 100 \u3002<\/li>\n\n\n\n<li>x , y ,z > 1<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u5173\u952e\u601d\u8def<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u904d\u5386\u53ef\u80fd\u7684 5 \u5206\u786c\u5e01\u6570\u91cf z \u3002<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u6bcf\u4e2a z \uff0c\u8ba1\u7b97\u5269\u4f59\u91d1\u989d s = 100 &#8211; 5z \u3002<\/li>\n\n\n\n<li>\u5269\u4f59\u91d1\u989d\u7531 1 \u5206\u548c 2 \u5206\u786c\u5e01\u7ec4\u5408\uff0c\u9700\u6ee1\u8db3 x > 1 \u4e14 y >1 \uff0c\u5373 x + 2y = s \u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">\u5efa\u7acb\u6a21\u578b\uff08\u4f2a\u4ee3\u7801\uff09<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u521d\u59cb\u5316\u8ba1\u6570\u5668 <code>count = 0<\/code>\u3002<\/li>\n\n\n\n<li>\u904d\u5386 z \u4ece 1 \u5230 19\uff08\u56e0\u4e3a 5z &lt; 95 \u3002<\/li>\n\n\n\n<li>\u5bf9\u6bcf\u4e2a z \uff0c\u8ba1\u7b97\u5269\u4f59\u91d1\u989d s = 100 &#8211; 5z \u3002<\/li>\n\n\n\n<li>\u82e5 s &lt; 3 \uff0c\u8df3\u8fc7 \u65e0\u6cd5\u6ee1\u8db3 x>=1 \u548c y >=1;<\/li>\n\n\n\n<li>\u5426\u5219\uff0c\u8ba1\u7b97\u6ee1\u8db3 x + 2y = s \u7684\u89e3\u7684\u6570\u76ee\uff1a<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>y = (s -x) \/2;<\/li>\n\n\n\n<li>x\u6700\u5c0f\u7b49\u4e8e1, y \u6700\u5927\u503c\u4e3ay = (s-1)\/2;<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u7d2f\u52a0\u89e3\u7684\u6570\u76ee\u5230 <code>count<\/code>\u3002<\/li>\n\n\n\n<li>\u8f93\u51fa <code>count<\/code>\u3002<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">\u7f16\u5199 C++ \u4ee3\u7801<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>#include &lt;bits\/stdc++.h&gt;\nusing namespace std;\nint main() \n{\n    int count = 0;\n    for (int z = 1; z &lt;= 19; ++z) {\/\/5\u5206\u94b1\n        int s = 100 - 5 * z;\/\/\u4f59\n        if (s &lt; 3) continue;\n        int num = (s - 1) \/ 2; \/\/\u5269\u4e0b\u7684\u53ef\u80fd\u6027\n        count += num;\n    }\n    cout &lt;&lt; count &lt;&lt; endl;\n    return 0;\n}<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u4ee3\u7801\u89e3\u91ca<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><em>\u904d\u5386 5 \u5206\u786c\u5e01\u6570\u91cf z <\/em>\uff1a\u4ece 1 \u5230 19\uff08\u786e\u4fdd\u5269\u4f59\u91d1\u989d\u81f3\u5c11\u4e3a 3 \u5206\uff09\u3002<\/li>\n\n\n\n<li>\u8ba1\u7b97\u5269\u4f59\u91d1\u989d s<code> = 100 - 5 * z<\/code>\u3002<\/li>\n\n\n\n<li><strong>\u8df3\u8fc7\u65e0\u6548\u60c5\u51b5<\/strong>\uff1a\u82e5 <code>s &lt; 3<\/code>\uff0c\uff0c\u8df3\u8fc7 \u65e0\u6cd5\u6ee1\u8db3 x>=1 \u548c y >=1;<\/li>\n\n\n\n<li><strong>\u8ba1\u7b97\u89e3\u7684\u6570\u76ee<\/strong>\uff1a y \u7684\u6700\u5927\u503c\u4e3a y = (s-1)\/2<\/li>\n\n\n\n<li><strong>\u8f93\u51fa\u7ed3\u679c<\/strong>\uff1a\u6240\u6709\u6ee1\u8db3\u6761\u4ef6\u7684\u5151\u6362\u65b9\u5f0f\u603b\u6570\u3002<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b64\u4ee3\u7801\u901a\u8fc7\u904d\u5386\u53ef\u80fd\u7684 5 \u5206\u786c\u5e01\u6570\u91cf\uff0c\u5feb\u901f\u8ba1\u7b97\u6240\u6709\u5408\u6cd5\u7ec4\u5408\u6570\u76ee\uff0c\u6700\u7ec8\u8f93\u51fa\u6b63\u786e\u7b54\u6848 <strong>461<\/strong>\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5206\u6790\u95ee\u9898 \u6211\u4eec\u9700\u8981\u5c06\u4e00\u5143\uff08100 \u5206\uff09\u5151\u6362\u4e3a&#8230; <a class=\"read-more\" href=\"http:\/\/west.wangyuansheng.cn\/?p=202\">\u9605\u8bfb\u66f4\u591a&#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-202","post","type-post","status-publish","format-standard","hentry","category-problem"],"_links":{"self":[{"href":"http:\/\/west.wangyuansheng.cn\/index.php?rest_route=\/wp\/v2\/posts\/202","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/west.wangyuansheng.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/west.wangyuansheng.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/west.wangyuansheng.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/west.wangyuansheng.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=202"}],"version-history":[{"count":3,"href":"http:\/\/west.wangyuansheng.cn\/index.php?rest_route=\/wp\/v2\/posts\/202\/revisions"}],"predecessor-version":[{"id":361,"href":"http:\/\/west.wangyuansheng.cn\/index.php?rest_route=\/wp\/v2\/posts\/202\/revisions\/361"}],"wp:attachment":[{"href":"http:\/\/west.wangyuansheng.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=202"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/west.wangyuansheng.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=202"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/west.wangyuansheng.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=202"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}