{"id":455,"date":"2024-05-03T16:58:26","date_gmt":"2024-05-03T08:58:26","guid":{"rendered":"https:\/\/seanxd.com\/?p=455"},"modified":"2024-05-03T16:58:28","modified_gmt":"2024-05-03T08:58:28","slug":"zerojudge-d105","status":"publish","type":"post","link":"https:\/\/seanxd.com\/zh\/zerojudge-d105\/","title":{"rendered":"ZeroJudge D105: \u50b3\u7403\u904a\u6232"},"content":{"rendered":"\n\n\n<p class=\"\">\u4e0a\u9ad4\u80b2\u8ab2\u7684\u6642\u5019\uff0c\u5c0f\u883b\u7684\u8001\u5e2b\u5e38\u5e36\u8457\u540c\u5b78\u4e00\u8d77\u505a\u904a\u6232\u3002\u9019\u6b21\uff0c\u8001\u5e2b\u5e36\u8457\u540c\u5b78\u4e00\u8d77\u505a\u50b3\u7403\u904a\u6232\u3002<br>\u904a\u6232\u898f\u5247\u662f\u9019\u6a23\u7684\uff1aN \u500b\u540c\u5b78\u7ad9\u6210\u4e00\u500b\u5713\u5708\uff0c\u5176\u4e2d\u7684\u4e00\u500b\u540c\u5b78\u624b\u88e1\u62ff\u8457\u4e00\u500b\u7403\uff0c\u7576\u8001\u5e2b\u5439\u54e8\u5b50\u6642\u958b\u59cb\u50b3\u7403\uff0c\u6bcf\u500b\u540c\u5b78\u53ef\u4ee5\u628a\u7403\u50b3\u7d66\u81ea\u5df1\u5de6\u53f3\u7684\u5169\u500b\u540c\u5b78\u4e2d\u7684\u4e00\u500b (\u5de6\u53f3\u4efb\u610f)\uff0c\u7576\u8001\u5e2b\u5728\u6b64\u5439\u54e8\u5b50\u6642\uff0c\u50b3\u7403\u505c\u6b62\uff0c\u6b64\u6642\uff0c\u62ff\u8457\u7403\u6c92\u6709\u50b3\u51fa\u53bb\u7684\u90a3\u500b\u540c\u5b78\u5c31\u662f\u6557\u8005\uff0c\u8981\u7d66\u5927\u5bb6\u8868\u6f14\u4e00\u500b\u7bc0\u76ee\u3002<br>\u8070\u660e\u7684\u5c0f\u883b\u63d0\u51fa\u4e00\u500b\u6709\u8da3\u7684\u554f\u984c\uff1a\u6709\u591a\u5c11\u7a2e\u4e0d\u540c\u7684\u50b3\u7403\u65b9\u6cd5\u53ef\u4ee5\u4f7f\u5f97\u5f9e\u5c0f\u883b\u624b\u88e1\u958b\u59cb\u50b3\u7684\u7403\uff0c\u50b3\u4e86 M \u6b21\u4ee5\u5f8c\uff0c\u53c8\u56de\u5230\u5c0f\u883b\u624b\u88e1\u3002\u5169\u7a2e\u50b3\u7403\u65b9\u6cd5\u88ab\u8996\u70ba\u4e0d\u540c\u7684\u65b9\u6cd5\uff0c\u7576\u4e14\u50c5\u7576\u9019\u5169\u7a2e\u65b9\u6cd5\u4e2d\uff0c\u63a5\u5230\u7403\u7684\u540c\u5b78\u6309\u63a5\u7403\u9806\u5e8f\u7d44\u6210\u7684\u5e8f\u5217\u662f\u4e0d\u540c\u7684\u3002\u4f8b\u5982\u6709\u4e09\u500b\u540c\u5b78 1 \u865f\u30012 \u865f\u30013 \u865f\uff0c\u4e26\u5047\u8a2d\u5c0f\u883b\u70ba 1 \u865f\uff0c\u7403\u50b3\u4e86 3 \u6b21\u56de\u5230\u5c0f\u883b\u624b\u88e1\u7684\u65b9\u5f0f\u6709 1 -> 2 -> 3 -> 1 \u548c 1 -> 3 -> 2 -> 1\uff0c\u5171 2 \u7a2e\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7bc4\u4f8b\u6e2c\u8cc7<\/h2>\n\n\n\n<figure class=\"wp-block-table nfd-wb-animate nfd-wb-fade-in-bottom-short\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7bc4\u4f8b\u8f38\u5165<\/th><th>\u7bc4\u4f8b\u8f38\u51fa<\/th><\/tr><\/thead><tbody><tr><td>\u8f38\u5165\u5171\u4e00\u884c\uff0c\u6709\u5169\u500b\u7528\u7a7a\u683c\u9694\u958b\u7684\u6574\u6578 N \u548c M (3 &lt;= N &lt;= 30\uff0c1 &lt;= M &lt;= 30\uff09\u3002<\/td><td>\u8f38\u51fa\u6a94\u5171\u4e00\u884c\uff0c\u6709\u4e00\u500b\u6574\u6578\uff0c\u8868\u793a\u7b26\u5408\u984c\u610f\u7684\u65b9\u6cd5\u6578\u3002<\/td><\/tr><tr><td>3 3<\/td><td>2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u89e3\u984c\u601d\u8def<\/h2>\n\n\n\n<p class=\"\">\u4f7f\u7528 <strong>BFS<\/strong> \u4f86\u8655\u7406\uff0c<strong>\u6bcf\u4e00\u6b21\u8a08\u7b97\u7403\u8981\u50b3\u7d66\u8ab0<\/strong>\uff0c\u4e26\u4e14<strong>\u5c07\u6bcf\u500b\u8d77\u9ede\u7684\u6b21\u6578\u9032\u884c\u52a0\u7e3d<\/strong>\uff0c\u53ef\u4ee5\u5229\u7528 Map \u4f86\u505a\u5b58\u53d6\uff0c\u4e26\u4e14\u6bcf\u6b21\u8dd1 BFS \u7684\u6642\u5019\u90fd\u56de\u50b3\u9019\u500b Map\uff0c\u7576 <strong>BFS \u7684\u6b21\u6578\u7b49\u65bc M \u6642<\/strong>\u5c31<strong>\u5c07\u7b2c\u4e00\u500b\u4eba\u7684Map \u503c\u8f38\u51fa<\/strong>\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7bc4\u4f8b\u7a0b\u5f0f\u78bc\uff0d<a href=\"https:\/\/zerojudge.tw\/ShowProblem?problemid=d105\" target=\"_blank\" rel=\"noreferrer noopener\">ZeroJudge D105: \u50b3\u7403\u904a\u6232<\/a><\/h3>\n\n\n\n<div class=\"hcb_wrap nfd-wb-animate nfd-wb-reveal-right nfd-delay-50\"><pre class=\"prism line-numbers lang-cpp\" data-lang=\"C++\"><code>#include &lt;iostream&gt;\n#include &lt;vector&gt;\n#include &lt;map&gt;\nusing namespace std;\n\nint N, M;\n\nvoid BFS(vector&lt;int&gt;start, int count, map&lt;int, int&gt;MAP)\n{\n    vector&lt;int&gt;newStart;\n    map&lt;int, int&gt;exist;\n    for (int i = 0; i&lt;start.size(); i++)\n    {\n        int left = start[i] - 1, right = start[i] + 1;\n        if (left &lt; 1) left = N;\n        if (right &gt; N) right = 1;\n        if (exist[left] == 0) newStart.push_back(left);\n        if (exist[right] == 0) newStart.push_back(right);\n        exist[left] += MAP[start[i]];\n        exist[right] += MAP[start[i]];\n    }\n    if (count == M-1)\n    {\n        cout &lt;&lt; exist[1] &lt;&lt; &quot;\\n&quot;;\n        return;\n    }\n    BFS(newStart, count+1, exist);\n}\n\nint main() {\n    cin.sync_with_stdio(0);\n    cin.tie(0);\n    cout.sync_with_stdio(0);\n    cout.tie(0);\n    cin &gt;&gt; N &gt;&gt; M;\n    if (M == 1) cout &lt;&lt; &quot;0\\n&quot;;\n    else\n    {\n        vector&lt;int&gt;start;\n        start.push_back(1);\n        map&lt;int, int&gt;MAP;\n        MAP[1] = 1;\n        BFS(start, 0, MAP);\n    }\n}\n\n\/\/ZeroJudge D105\n\/\/Dr. SeanXD<\/code><\/pre><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u4e0a\u9ad4\u80b2\u8ab2\u7684\u6642\u5019\uff0c\u5c0f\u883b\u7684\u8001\u5e2b\u5e38\u5e36\u8457\u540c\u5b78\u4e00\u8d77\u505a\u904a\u6232\u3002\u9019\u6b21\uff0c\u8001\u5e2b\u5e36\u8457\u540c\u5b78\u4e00\u8d77\u505a\u50b3\u7403\u904a\u6232\u3002\u904a\u6232\u898f\u5247\u662f\u9019\u6a23\u7684\uff1aN \u500b\u540c\u5b78 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[25],"tags":[30,14,20,8,9],"class_list":["post-455","post","type-post","status-publish","format-standard","hentry","category-ioi-apcs","tag-bfs","tag-map","tag-20","tag-8","tag-9"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/455","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/comments?post=455"}],"version-history":[{"count":1,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/455\/revisions"}],"predecessor-version":[{"id":456,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/posts\/455\/revisions\/456"}],"wp:attachment":[{"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/media?parent=455"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/categories?post=455"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/seanxd.com\/zh\/wp-json\/wp\/v2\/tags?post=455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}