{"id":160,"date":"2026-03-20T23:07:36","date_gmt":"2026-03-20T15:07:36","guid":{"rendered":"https:\/\/www.heroking2000.com\/?p=160"},"modified":"2026-03-20T23:07:36","modified_gmt":"2026-03-20T15:07:36","slug":"%e6%b4%9b%e8%b0%b7p1002-noip-2002-%e6%99%ae%e5%8f%8a%e7%bb%84-%e8%bf%87%e6%b2%b3%e5%8d%92","status":"publish","type":"post","link":"https:\/\/www.heroking2000.com\/?p=160","title":{"rendered":"\u6d1b\u8c37P1002 [NOIP 2002 \u666e\u53ca\u7ec4] \u8fc7\u6cb3\u5352"},"content":{"rendered":"\n

\u9898\u76ee\u63cf\u8ff0<\/h2>\n\n\n\n

\u68cb\u76d8\u4e0a A<\/em> \u70b9\u6709\u4e00\u4e2a\u8fc7\u6cb3\u5352\uff0c\u9700\u8981\u8d70\u5230\u76ee\u6807 B<\/em> \u70b9\u3002\u5352\u884c\u8d70\u7684\u89c4\u5219\uff1a\u53ef\u4ee5\u5411\u4e0b\u3001\u6216\u8005\u5411\u53f3\u3002\u540c\u65f6\u5728\u68cb\u76d8\u4e0a C<\/em> \u70b9\u6709\u4e00\u4e2a\u5bf9\u65b9\u7684\u9a6c\uff0c\u8be5\u9a6c\u6240\u5728\u7684\u70b9\u548c\u6240\u6709\u8df3\u8dc3\u4e00\u6b65\u53ef\u8fbe\u7684\u70b9\u79f0\u4e3a\u5bf9\u65b9\u9a6c\u7684\u63a7\u5236\u70b9\u3002\u56e0\u6b64\u79f0\u4e4b\u4e3a\u201c\u9a6c\u62e6\u8fc7\u6cb3\u5352\u201d\u3002<\/p>\n\n\n\n

\u68cb\u76d8\u7528\u5750\u6807\u8868\u793a\uff0cA<\/em> \u70b9 (0,0)\u3001B<\/em> \u70b9 (n<\/em>,m<\/em>)\uff0c\u540c\u6837\u9a6c\u7684\u4f4d\u7f6e\u5750\u6807\u662f\u9700\u8981\u7ed9\u51fa\u7684\u3002<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\u73b0\u5728\u8981\u6c42\u4f60\u8ba1\u7b97\u51fa\u5352\u4ece A<\/em> \u70b9\u80fd\u591f\u5230\u8fbe B<\/em> \u70b9\u7684\u8def\u5f84\u7684\u6761\u6570\uff0c\u5047\u8bbe\u9a6c\u7684\u4f4d\u7f6e\u662f\u56fa\u5b9a\u4e0d\u52a8\u7684\uff0c\u5e76\u4e0d\u662f\u5352\u8d70\u4e00\u6b65\u9a6c\u8d70\u4e00\u6b65\u3002<\/p>\n\n\n\n

\u8f93\u5165\u683c\u5f0f<\/h2>\n\n\n\n

\u4e00\u884c\u56db\u4e2a\u6b63\u6574\u6570\uff0c\u5206\u522b\u8868\u793a B<\/em> \u70b9\u5750\u6807\u548c\u9a6c\u7684\u5750\u6807\u3002<\/p>\n\n\n\n

\u8f93\u51fa\u683c\u5f0f<\/h2>\n\n\n\n

\u4e00\u4e2a\u6574\u6570\uff0c\u8868\u793a\u6240\u6709\u7684\u8def\u5f84\u6761\u6570\u3002<\/p>\n\n\n\n

\u8f93\u5165\u8f93\u51fa\u6837\u4f8b<\/h2>\n\n\n\n

\u8f93\u5165 #1<\/strong><\/p>\n\n\n\n

6 6 3 3\n<\/pre>\n\n\n\n
\u8f93\u51fa #1<\/strong><\/p>\n\n\n\n
6\n<\/pre>\n\n\n\n
\u8bf4\u660e\/\u63d0\u793a<\/h2>\n\n\n\n
\u5bf9\u4e8e 100% \u7684\u6570\u636e\uff0c1\u2264n<\/em>,m<\/em>\u226420\uff0c0\u2264 \u9a6c\u7684\u5750\u6807 \u226420\u3002<\/p>\n\n\n\n
\u3010\u9898\u76ee\u6765\u6e90\u3011<\/strong><\/p>\n\n\n\n
NOIP 2002 \u666e\u53ca\u7ec4\u7b2c\u56db\u9898<\/p>\n\n\n\n
\u3010\u89e3\u9898\u601d\u8def\u3011<\/p>\n\n\n\n
\u8fd9\u4e00\u9053\u9898\u4e4d\u4e00\u770b\u7528DFS\uff0c\u63d0\u4ea4\u6d4b\u8bd5\u53d1\u73b0\u8d85\u65f6\uff0c\u56e0\u4e3a\u8def\u5f84\u592a\u591a\u4e86\u3002\u7ecf\u8fc7\u5206\u6790\u53d1\u73b0\uff0c\u56e0\u4e3a\u5352\u53ea\u80fd\u5411\u5de6\u5411\u4e0b\u8d70\uff0c\u56e0\u6b64f\uff08x,y\uff09=f(x-1,y)+f(x,y-1)\uff0c\u9047\u5230\u9a6c\u7684\u4f4d\u7f6e\u4e3a0<\/p>\n\n\n\n
\u3010\u4ee3\u7801\u6837\u4f8b\u3011<\/p>\n\n\n\n
#include <bits\/stdc++.h>\nusing namespace std;\nconst int MAXN = 25;\nint bx, by, hx, hy;\nlong long cnt;\nlong long a[MAXN][MAXN];\nint h[MAXN][MAXN];\/\/\u9a6c\u4f4d\u7f6e\u77e9\u9635\n\n\nint main() {\n\tcin >> bx >> by >> hx >> hy;\n\th[hx][hy] = 1;\n\tif (hx - 1 >= 0 && hy - 2 >= 0)\n\t\th[hx - 1][hy - 2] = 1;\n\tif (hx - 2 >= 0 && hy - 1 >= 0)\n\t\th[hx - 2][hy - 1] = 1;\n\tif (hx - 1 >= 0)\n\t\th[hx - 1][hy + 2] = 1;\n\tif (hx - 2 >= 0)\n\t\th[hx - 2][hy + 1] = 1;\n\tif (hy - 2 >= 0)\n\t\th[hx + 1][hy - 2] = 1;\n\tif (hy - 1 >= 0)\n\t\th[hx + 2][hy - 1] = 1;\n\th[hx + 1][hy + 2] = 1;\n\th[hx + 2][hy + 1] = 1;\n\tfor (int i = 0; i <= bx; i++) {\n\t\tif (h[i][0] == 0) {\n\t\t\ta[i][0] = 1;\n\t\t} else {\n\t\t\tbreak;\n\t\t}\n\t}\n\tfor (int i = 0; i <= by; i++) {\n\t\tif (h[0][i] == 0) {\n\t\t\ta[0][i] = 1;\n\t\t} else {\n\t\t\tbreak;\n\t\t}\n\t}\n\tfor (int i = 1; i <= bx; i++) {\n\t\tfor (int j = 1; j <= by; j++) {\n\t\t\tif (h[i][j] == 0) {\n\t\t\t\ta[i][j] = a[i - 1][j] + a[i][j - 1];\n\t\t\t}\n\t\t}\n\t}\n\tcout << a[bx][by];\n}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"
\u9898\u76ee\u63cf\u8ff0 \u68cb\u76d8\u4e0a A \u70b9\u6709\u4e00\u4e2a\u8fc7\u6cb3\u5352\uff0c\u9700\u8981\u8d70\u5230\u76ee\u6807 B \u70b9\u3002\u5352\u884c\u8d70\u7684\u89c4 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[35,25,36],"class_list":["post-160","post","type-post","status-publish","format-standard","hentry","category-oi","tag-dfs","tag-25","tag-36"],"_links":{"self":[{"href":"https:\/\/www.heroking2000.com\/index.php?rest_route=\/wp\/v2\/posts\/160","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.heroking2000.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.heroking2000.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.heroking2000.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.heroking2000.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=160"}],"version-history":[{"count":1,"href":"https:\/\/www.heroking2000.com\/index.php?rest_route=\/wp\/v2\/posts\/160\/revisions"}],"predecessor-version":[{"id":162,"href":"https:\/\/www.heroking2000.com\/index.php?rest_route=\/wp\/v2\/posts\/160\/revisions\/162"}],"wp:attachment":[{"href":"https:\/\/www.heroking2000.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=160"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.heroking2000.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=160"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.heroking2000.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=160"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}