{"id":114,"date":"2025-06-01T21:07:11","date_gmt":"2025-06-01T13:07:11","guid":{"rendered":"https:\/\/mafaji.com\/?p=114"},"modified":"2025-06-03T13:23:37","modified_gmt":"2025-06-03T05:23:37","slug":"c%e5%ad%a6%e4%b9%a0%e7%a4%ba%e4%be%8b100%e4%b9%8b%e4%b8%89","status":"publish","type":"post","link":"https:\/\/mafaji.com\/?p=114","title":{"rendered":"C\u5b66\u4e60\u793a\u4f8b100\u4e4b\u4e09"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\">\u9898\u76ee\uff1a\u4e00\u4e2a\u6574\u6570\uff0c\u5b83\u52a0\u4e0a100\u540e\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u518d\u52a0\u4e0a168\u53c8\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u8bf7\u95ee\u8be5\u6570\u662f\u591a\u5c11\uff1f<\/h4>\n\n\n\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"c\" data-enlighter-theme=\"\" data-enlighter-highlight=\"\" data-enlighter-linenumbers=\"\" data-enlighter-lineoffset=\"\" data-enlighter-title=\"\" data-enlighter-group=\"\">#include &lt;stdio.h>\n\n\/\/ \u9898\u76ee\uff1a\u4e00\u4e2a\u6574\u6570\uff0c\u5b83\u52a0\u4e0a100\u540e\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u518d\u52a0\u4e0a168\u53c8\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u8bf7\u95ee\u8be5\u6570\u662f\u591a\u5c11\uff1f\n\/\/ \u5206\u6790\uff1a\u8bbe\u8fd9\u4e2a\u6570\u4e3ai\uff0c x+100 = n\u00b2, x+268 = m\u00b2, m\u00b2-n\u00b2 = 168\n\/\/ (m+n)(m-n)=168, \u8bbem+n=s\uff0cm-n=d \uff0cs\u548cd\u7684\u53d6\u503c\u8303\u56f4\u4e3a1-168\u4e4b\u95f4\nint main(void)\n{\n    int m, n, s, d, x;\n    for (int s = 1; s &lt; 168; s++)\n    {\n        if (168 % s == 0)\n        {\n            d = 168 \/ s;\n            if (s > d &amp;&amp; (s + d) % 2 == 0 &amp;&amp; (s - d) % 2 == 0)\n            {\n                m = (s + d) \/ 2;\n                n = (s - d) \/ 2;\n                printf(\"%d\\n\", n * n - 100);\n            }\n        }\n    }\n    return 0;\n}<\/pre>\n\n\n\n<p>\u672c\u9898\u7684\u96be\u5ea6\u4e3b\u8981\u5728\u4e8e\u5206\u6790\uff0c\u5177\u4f53\u5982\u4e0b\uff1a<\/p>\n\n\n\n<p>\u8bbe\u8fd9\u4e2a\u6574\u6570\u4e3ax\uff0c\u5f97\uff1a\u5f0f1\uff1ax + 100 = n\u00b2\uff0c\u5f0f2\uff1ax + 268 = m\u00b2\u3002<\/p>\n\n\n\n<p>\u5f0f2 &#8211; \u5f0f1 = m\u00b2 &#8211; n\u00b2 = 168.<\/p>\n\n\n\n<p>\u518d\u5f97(m + n)(m &#8211; n) =168.<\/p>\n\n\n\n<p>\u8bbem+n = s, m &#8211; n = d;<\/p>\n\n\n\n<p>\u6240\u4ee5\uff1am+n+m-n = s + d\uff0c 2m = s + d\uff0c m = (s + d) \/ 2<\/p>\n\n\n\n<p>\u540c\u7406\uff1am + n &#8211; m + n = s &#8211; d\uff0c 2n = s &#8211; d\uff0c n = (s &#8211; d) \/ 2<\/p>\n\n\n\n<p>\u56e0\u6b64\uff0cm\u548cn\u90fd\u662f\u5076\u6570\u3002<\/p>\n\n\n\n<p>s \u548c d\u7684\u53d6\u503c\u8303\u56f4\u57281\u81f3168\u4e4b\u95f4\uff0c\u6392\u961f\u91cd\u590d\u7684\u60c5\u51b5\uff0cs\u6216d\u7684\u53d6\u503c\u4ec5\u4e3a1 &#8211; 168\/2 &#8211; 1 \u4e4b\u95f4\u3002<\/p>\n\n\n\n<p>\u4e14\uff0c\u56e0\u4e3a168\u662f\u5076\u6570\uff0c\u6240\u4ee5s\u548cd\u81f3\u5c11\u8981\u6709\u4e00\u4e2a\u6570\u662f\u5076\u6570\u3002<\/p>\n\n\n\n<p>\u6700\u7ec8\u5f97\u5230s\u548cd\u90fd\u5fc5\u987b\u662f\u5076\u6570\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0a\u63a8\u5bfc\u624d\u662f\u672c\u9898\u7684\u96be\u70b9\u3002<\/p>\n\n\n\n<p>\u68c0\u6d4b\u4e00\u4e2a\u6570\u662f\u5426\u662f\u5076\u6570\uff0cn %  2 == 0;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9898\u76ee\uff1a\u4e00\u4e2a\u6574\u6570\uff0c\u5b83\u52a0\u4e0a100\u540e\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u518d\u52a0\u4e0a168\u53c8\u662f\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u6570\uff0c\u8bf7\u95ee\u8be5\u6570\u662f\u591a\u5c11\uff1f \u672c\u9898\u7684\u96be\u5ea6\u4e3b &#8230; <a title=\"C\u5b66\u4e60\u793a\u4f8b100\u4e4b\u4e09\" class=\"read-more\" href=\"https:\/\/mafaji.com\/?p=114\" aria-label=\"\u9605\u8bfb C\u5b66\u4e60\u793a\u4f8b100\u4e4b\u4e09\">\u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[14],"class_list":["post-114","post","type-post","status-publish","format-standard","hentry","category-code","tag-c"],"_links":{"self":[{"href":"https:\/\/mafaji.com\/index.php?rest_route=\/wp\/v2\/posts\/114","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mafaji.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mafaji.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mafaji.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mafaji.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=114"}],"version-history":[{"count":3,"href":"https:\/\/mafaji.com\/index.php?rest_route=\/wp\/v2\/posts\/114\/revisions"}],"predecessor-version":[{"id":118,"href":"https:\/\/mafaji.com\/index.php?rest_route=\/wp\/v2\/posts\/114\/revisions\/118"}],"wp:attachment":[{"href":"https:\/\/mafaji.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=114"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mafaji.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=114"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mafaji.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=114"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}