{"id":91802,"date":"2026-08-08T13:17:31","date_gmt":"2026-08-08T05:17:31","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/91802.html"},"modified":"2026-08-08T13:17:31","modified_gmt":"2026-08-08T05:17:31","slug":"%e6%b4%9b%e8%b0%b7p9117-%e6%98%a5%e5%ad%a3%e6%b5%8b%e8%af%95-2023-%e6%b6%82%e8%89%b2%e6%b8%b8%e6%88%8f-%e9%a2%98%e8%a7%a3","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/91802.html","title":{"rendered":"\u6d1b\u8c37P9117 [\u6625\u5b63\u6d4b\u8bd5 2023] \u6d82\u8272\u6e38\u620f \u9898\u89e3"},"content":{"rendered":"

\u9898\u76ee\u4f20\u9001\u95e8<\/p>\n

Description<\/h2>\n

\u7ed9\u5b9a\u00a0\"n\"\u00a0\u884c\u00a0\"\"\"m\"\u00a0\u5217\u7684\u77e9\u5f62，\u521d\u59cb\u5168\u4e3a\u767d\u8272\u3002\u5b58\u5728\u00a0\"q\"\u6b21\u64cd\u4f5c，\u6bcf\u6b21\u64cd\u4f5c\u53ef\u4ee5\u5c06\u4e00\u6574\u884c\u6216\u4e00\u6574\u5217\u8986\u76d6\u6210\u4efb\u610f\u989c\u8272\u3002\u6c42\u6700\u7ec8\u77e9\u5f62\u4e0a\u6bcf\u4e2a\u70b9\u7684\u989c\u8272\u3002<\/p>\n

Solution<\/h2>\n

\u5bb9\u6613\u60f3\u5230，\u77e9\u5f62\u6700\u7ec8\u7684\u72b6\u6001\u662f\u591a\u6b21\u64cd\u4f5c\u53e0\u52a0\u800c\u6210，\u800c\u9760\u524d\u7684\u64cd\u4f5c\u53ef\u80fd\u4f1a\u5168\u88ab\u540e\u9762\u7684\u64cd\u4f5c\u7ed9\u5b8c\u5168\u8986\u76d6，\u6240\u4ee5\u8fd9\u6b21\u64cd\u4f5c\u663e\u7136\u5bf9\u7b54\u6848\u6ca1\u6709\u4efb\u4f55\u8d21\u732e\u3002\u7531\u6b64\u6211\u4eec\u53ef\u4ee5\u8003\u8651\u5982\u4f55\u526a\u6389\u8fd9\u6b21\u64cd\u4f5c，\u8ba9\u7a0b\u5e8f\u53ea\u4f1a\u8ba1\u7b97\u771f\u6b63\u6709\u8d21\u732e\u7684\u64cd\u4f5c\u3002<\/p>\n

\u6211\u4eec\u53ef\u4ee5\u9009\u62e9\u79bb\u7ebf\u5012\u5e8f\u5904\u7406\u6240\u6709\u64cd\u4f5c，\u8fd9\u6837\u5c31\u53ef\u4ee5\u907f\u514d\u8986\u76d6\u7684\u64cd\u4f5c\u3002\u8bbe\u00a0\"ext_{i,op}(op\\\\in\u00a0\u4e3a\u5f53\u524d\u884c\u6216\u5f53\u524d\u5217\u662f\u5426\u5df2\u7ecf\u6d82\u4e0a\u4e86\u6700\u65b0\u7684\u989c\u8272，\u7528\u4ee5\u526a\u679d\u6765\u4f18\u5316\u590d\u6742\u5ea6\u3002<\/p>\n

\u8981\u6ce8\u610f\u77e9\u9635\u7684\u5b58\u50a8\u5fc5\u987b\u7528\u00a0\"vector\"，\u56e0\u4e3a\u6570\u636e\u8303\u56f4\u5b9e\u5728\u662f\u8fc7\u5927，\u666e\u901a\u00a0\"array\"\u00a0\u4e00\u5b9a\u4f1a\u00a0\"MLE\"\u00a0\u7684\u3002<\/p>\n

\u65f6\u95f4\u590d\u6742\u5ea6\u00a0\"O(Tq\u00a0（\u4f46\u662f\u5b9e\u9645\u590d\u6742\u5ea6\u8fdc\u8fdc\u4e0d\u5230）\u00a0 \u7a7a\u95f4\u590d\u6742\u5ea6\u00a0\"O(nm)\"<\/p>\n

AC\u00a0Code<\/h2>\n

#include <bits\/stdc++.h>
\nusing namespace std;
\nconstexpr int MAXN=1e6+10;
\nint T,m,n,q;
\nvector <int> g[MAXN];
\nint ext[MAXN][2];
\nstruct operation{
\nint op,x,c;
\n}o[MAXN];
\nint main()
\n{
\nios::sync_with_stdio(false),cin.tie(nullptr),cout.tie(nullptr);
\ncin>>T;while(T–){
\ncin>>n>>m>>q;
\nfor(int i=1;i<=max(m,n);i++) ext[i][0]=ext[i][1]=0;
\nfor(int i=1;i<=n;i++) g[i].clear(),g[i].resize(m+1);
\nfor(int i=1;i<=n;i++) for(int j=1;j<=m;j++) g[i][j]=-1;
\nfor(int i=1;i<=q;i++) cin>>o[i].op>>o[i].x>>o[i].c;
\nfor(int i=q;i>=1;i–)
\n{
\nif(ext[o[i].x][o[i].op]==0)
\n{
\next[o[i].x][o[i].op]=1;
\nif(o[i].op==0)
\n{
\nfor(int j=1;j<=m;j++) if(g[o[i].x][j]==-1) g[o[i].x][j]=o[i].c;
\n}
\nelse
\n{
\nfor(int j=1;j<=n;j++) if(g[j][o[i].x]==-1) g[j][o[i].x]=o[i].c;
\n}
\n}
\n}
\nfor(int i=1;i<=n;i++){
\nfor(int j=1;j<=m;j++) cout<<(g[i][j]==-1?0:g[i][j])<<' ';
\ncout<<'\\\\n';
\n}
\n}
\nreturn 0;
\n} <\/p>\n","protected":false},"excerpt":{"rendered":"

\u9898\u76ee\u4f20\u9001\u95e8
\nDescription
\n\u7ed9\u5b9a\u00a0\u00a0\u884c\u00a0\u00a0\u5217\u7684\u77e9\u5f62，\u521d\u59cb\u5168\u4e3a\u767d\u8272\u3002\u5b58\u5728\u00a0\u6b21\u64cd\u4f5c，\u6bcf\u6b21\u64cd\u4f5c\u53ef\u4ee5\u5c06\u4e00\u6574\u884c\u6216\u4e00\u6574\u5217\u8986\u76d6\u6210\u4efb\u610f\u989c\u8272\u3002\u6c42\u6700\u7ec8\u77e9\u5f62\u4e0a\u6bcf\u4e2a\u70b9\u7684\u989c\u8272\u3002
\nSolution
\n\u5bb9\u6613\u60f3\u5230，\u77e9\u5f62\u6700\u7ec8\u7684\u72b6\u6001\u662f\u591a\u6b21\u64cd\u4f5c\u53e0\u52a0\u800c\u6210，\u800c\u9760\u524d\u7684\u64cd\u4f5c\u53ef\u80fd\u4f1a\u5168\u88ab\u540e\u9762\u7684\u64cd\u4f5c\u7ed9\u5b8c\u5168\u8986\u76d6，\u6240\u4ee5\u8fd9\u6b21\u64cd\u4f5c\u663e\u7136\u5bf9\u7b54\u6848\u6ca1\u6709\u4efb\u4f55\u8d21\u732e\u3002\u7531\u6b64\u6211\u4eec\u53ef\u4ee5\u8003\u8651\u5982\u4f55\u526a\u6389\u8fd9\u6b21\u64cd\u4f5c，\u8ba9\u7a0b\u5e8f\u53ea\u4f1a\u8ba1\u7b97\u771f\u6b63\u6709\u8d21\u732e\u7684\u64cd\u4f5c\u3002
\n\u6211\u4eec\u53ef\u4ee5\u9009\u62e9\u79bb\u7ebf<\/p>\n","protected":false},"author":2,"featured_media":91793,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[248,427],"topic":[],"class_list":["post-91802","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-248","tag-427"],"yoast_head":"\n\u6d1b\u8c37P9117 [\u6625\u5b63\u6d4b\u8bd5 2023] \u6d82\u8272\u6e38\u620f \u9898\u89e3 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/91802.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u6d1b\u8c37P9117 [\u6625\u5b63\u6d4b\u8bd5 2023] \u6d82\u8272\u6e38\u620f \u9898\u89e3 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u9898\u76ee\u4f20\u9001\u95e8 Description \u7ed9\u5b9a\u00a0\u00a0\u884c\u00a0\u00a0\u5217\u7684\u77e9\u5f62，\u521d\u59cb\u5168\u4e3a\u767d\u8272\u3002\u5b58\u5728\u00a0\u6b21\u64cd\u4f5c，\u6bcf\u6b21\u64cd\u4f5c\u53ef\u4ee5\u5c06\u4e00\u6574\u884c\u6216\u4e00\u6574\u5217\u8986\u76d6\u6210\u4efb\u610f\u989c\u8272\u3002\u6c42\u6700\u7ec8\u77e9\u5f62\u4e0a\u6bcf\u4e2a\u70b9\u7684\u989c\u8272\u3002 Solution \u5bb9\u6613\u60f3\u5230，\u77e9\u5f62\u6700\u7ec8\u7684\u72b6\u6001\u662f\u591a\u6b21\u64cd\u4f5c\u53e0\u52a0\u800c\u6210，\u800c\u9760\u524d\u7684\u64cd\u4f5c\u53ef\u80fd\u4f1a\u5168\u88ab\u540e\u9762\u7684\u64cd\u4f5c\u7ed9\u5b8c\u5168\u8986\u76d6，\u6240\u4ee5\u8fd9\u6b21\u64cd\u4f5c\u663e\u7136\u5bf9\u7b54\u6848\u6ca1\u6709\u4efb\u4f55\u8d21\u732e\u3002\u7531\u6b64\u6211\u4eec\u53ef\u4ee5\u8003\u8651\u5982\u4f55\u526a\u6389\u8fd9\u6b21\u64cd\u4f5c，\u8ba9\u7a0b\u5e8f\u53ea\u4f1a\u8ba1\u7b97\u771f\u6b63\u6709\u8d21\u732e\u7684\u64cd\u4f5c\u3002 \u6211\u4eec\u53ef\u4ee5\u9009\u62e9\u79bb\u7ebf\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/91802.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2026-08-08T05:17:31+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260808051730-6a76bbea0ab63.png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/91802.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/91802.html\",\"name\":\"\u6d1b\u8c37P9117 [\u6625\u5b63\u6d4b\u8bd5 2023] \u6d82\u8272\u6e38\u620f \u9898\u89e3 - 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