{"id":48249,"date":"2025-07-30T11:18:28","date_gmt":"2025-07-30T03:18:28","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/48249.html"},"modified":"2025-07-30T11:18:28","modified_gmt":"2025-07-30T03:18:28","slug":"%e6%b4%9b%e8%b0%b7-p11230%ef%bc%9acsp-j-2024-t4-%e6%8e%a5%e9%be%99-%e2%86%90-%e5%9b%be%e8%ae%ba%e5%8a%a8%e6%80%81%e8%a7%84%e5%88%92","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/48249.html","title":{"rendered":"\u6d1b\u8c37 P11230\uff1a[CSP-J 2024 T4] \u63a5\u9f99 \u2190 \u56fe\u8bba+\u52a8\u6001\u89c4\u5212"},"content":{"rendered":"

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\u8fdb\u884c\u63a5\u9f99\u3002\u82e5\u8fd9\u4e0d\u662f\u6e38\u620f\u7684\u7b2c\u4e00\u8f6e，\u90a3\u4e48\u8fd9\u4e00\u8f6e\u8fdb\u884c<\/span>\u63a5\u9f99\u7684\u4eba\u4e0d\u80fd\u4e0e\u4e0a\u4e00\u8f6e\u76f8\u540c<\/span>，\u4f46\u53ef\u4ee5\u4e0e\u4e0a\u4e0a\u8f6e\u6216\u66f4\u5f80\u524d\u7684\u8f6e\u76f8\u540c\u3002 （2）\u63a5\u9f99\u7684\u4eba\u9009\u62e9\u4e00\u4e2a<\/span>\u957f\u5ea6\u5728 [2,k] \u7684 \"S_p\" \u7684\u8fde\u7eed\u5b50\u5e8f\u5217 A<\/span> \u4f5c\u4e3a\u8fd9\u4e00\u8f6e\u7684\u63a5\u9f99\u5e8f\u5217，\u5176\u4e2d k \u662f\u7ed9\u5b9a\u7684\u5e38\u6570\u3002\u82e5\u8fd9\u662f<\/span>\u6e38\u620f\u7684\u7b2c\u4e00\u8f6e<\/span>，\u90a3\u4e48 <\/span>A \u9700\u8981\u4ee5\u5143\u7d20 1 \u5f00\u5934<\/span>，<\/span>\u5426\u5219 A \u9700\u8981\u4ee5\u4e0a\u4e00\u8f6e\u7684\u63a5\u9f99\u5e8f\u5217\u7684\u6700\u540e\u4e00\u4e2a\u5143\u7d20\u5f00\u5934<\/span>\u3002\u2013 \u5e8f\u5217 A \u662f\u5e8f\u5217 S 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\u672c\u9898\u6709\u591a\u7ec4\u6d4b\u8bd5\u6570\u636e\u3002 \u8f93\u5165\u7684\u7b2c\u4e00\u884c\u5305\u542b\u4e00\u4e2a\u6b63\u6574\u6570 T，\u8868\u793a\u6570\u636e\u7ec4\u6570\u3002 \u63a5\u4e0b\u6765\u5305\u542b T \u7ec4\u6570\u636e，\u6bcf\u7ec4\u6570\u636e\u7684\u683c\u5f0f\u5982\u4e0b： \u7b2c\u4e00\u884c\u5305\u542b\u4e09\u4e2a\u6574\u6570 n,k,q，\u5206\u522b\u8868\u793a\u53c2\u4e0e\u6e38\u620f\u7684\u4eba\u6570\u3001\u63a5\u9f99\u5e8f\u5217\u957f\u5ea6\u4e0a\u9650\u4ee5\u53ca\u4efb\u52a1\u4e2a\u6570\u3002 \u63a5\u4e0b\u6765 n \u884c： \u7b2c i \u884c\u5305\u542b (\"l_i+1\") \u4e2a\u6574\u6570 \"l_i,S_{i,1},S_{i,2},\\\\cdots,S_{i,li}\"，\u5176\u4e2d\u7b2c\u4e00\u4e2a\u6574\u6570 \"l_i\" \u8868\u793a\u5e8f\u5217 \"S_i\" \u7684\u957f\u5ea6，\u63a5\u4e0b\u6765 \"l_i\" \u4e2a\u6574\u6570\u63cf\u8ff0\u5e8f\u5217 \"S_i\"\u3002 \u63a5\u4e0b\u6765 q \u884c： \u7b2c j \u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570 \"r_j\",\"c_j\"，\u63cf\u8ff0\u4e00\u4e2a\u4efb\u52a1\u3002 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\u672c\u9898\u662f\u4e00\u4e2a\u5178\u578b\u7684<\/span>\u56fe\u8bba\u53ef\u8fbe\u6027\u95ee\u9898<\/span>，\u7ed3\u5408\u52a8\u6001\u89c4\u5212\u601d\u60f3\u89e3\u51b3\u7279\u5b9a\u6761\u4ef6\u4e0b\u7684\u8def\u5f84\u67e5\u8be2\u3002 \u5982\u4e0b\u4ee3\u7801\u5b9e\u73b0\u4e86\u4e00\u4e2a\u57fa\u4e8e\u72b6\u6001\u8f6c\u79fb\u7684\u8def\u5f84\u67e5\u8be2\u7cfb\u7edf，\u4e3b\u8981\u529f\u80fd\u662f\u5224\u65ad\u7279\u5b9a\u6761\u4ef6\u4e0b\u8282\u70b9\u95f4\u7684\u53ef\u8fbe\u6027\u3002\u4ee5\u4e0b\u662f\u6838\u5fc3\u89e3\u6790： \u4e00\u3001\u6570\u636e\u7ed3\u6784\u4e0e\u521d\u59cb\u5316 \u200c1.\u5168\u5c40\u53d8\u91cf\u5b9a\u4e49\u200c v[N]：\u5b58\u50a8\u6bcf\u4e2a\u8282\u70b9\u7684\u90bb\u63a5\u8868，v[i] \u8868\u793a\u8282\u70b9 i \u7684\u8fde\u63a5\u5e8f\u5217\u200c\u3002 st[M][N]：\u72b6\u6001\u77e9\u9635，st[i][j] \u8bb0\u5f55\u5728\u7b2c i \u6b65\u80fd\u5426\u5230\u8fbe\u8282\u70b9 j，\u521d\u59cb\u503c\u4e3a -1\u200c\u3002 \u5e38\u91cf N=2e5+5 \u548c M=1e2+5 \u5206\u522b\u9650\u5236\u8282\u70b9\u6570\u548c\u6700\u5927\u6b65\u6570\u3002 \u200c2.\u8f93\u5165\u5904\u7406\u200c \u8bfb\u53d6\u6d4b\u8bd5\u7528\u4f8b\u6570 T \u540e，\u5faa\u73af\u5904\u7406\u6bcf\u7ec4\u6570\u636e\u200c\u3002 \u5bf9\u6bcf\u4e2a\u8282\u70b9 i，\u5148\u6e05\u7a7a\u90bb\u63a5\u8868，\u518d\u8bfb\u5165\u5176\u8fde\u63a5\u5e8f\u5217（\u5982\u8f93\u5165 5 1 2 3 4 1 \u8868\u793a\u8282\u70b9 i \u6709 5 \u4e2a\u8fde\u63a5\u70b9）\u200c\u3002 \u4e8c\u3001\u72b6\u6001\u8f6c\u79fb\u903b\u8f91 \u200c1.\u521d\u59cb\u5316\u72b6\u6001\u200c \u8bbe\u7f6e st[0][1]=0，\u8868\u793a\u7b2c 0 \u6b65\u65f6\u8282\u70b9 1 \u53ef\u8fbe\u200c\u3002 \u200c2.\u52a8\u6001\u586b\u5145\u72b6\u6001\u77e9\u9635\u200c \u53cc\u91cd\u5faa\u73af\u904d\u5386\u6b65\u6570 i（1 \u5230 100）\u548c\u8282\u70b9 j（1 \u5230 n）\u3002 \u53d8\u91cf len \u63a7\u5236\u6709\u6548\u6b65\u6570\u8870\u51cf：\u6bcf\u6b21\u8fed\u4ee3 len=max(len-1,0)，\u82e5 len>0 \u5219\u6807\u8bb0\u5f53\u524d\u8282\u70b9\u53ef\u8fbe\u6027\u200c\u3002 \u5173\u952e\u6761\u4ef6：\u82e5\u524d\u4e00\u6b65 st[i-1][t] \u6709\u6548\u4e14\u975e\u5f53\u524d\u8282\u70b9 j，\u5219\u91cd\u7f6e len=k，\u5b9e\u73b0\u6b65\u6570\u7eed\u4f20\u200c\u3002 \u4e09\u3001\u67e5\u8be2\u5904\u7406 \u5bf9\u6bcf\u4e2a\u67e5\u8be2 (x,y)，\u68c0\u67e5 st[x][y] \u662f\u5426\u4e3a\u975e -1 \u503c，\u82e5\u4e0d\u7b49\u4e8e -1，\u8f93\u51fa 1（\u8868\u793a\u4efb\u52a1\u53ef\u4ee5\u5b8c\u6210）\u3002\u5426\u5219，\u8f93\u51fa \u00a00（\u8868\u793a\u4efb\u52a1\u4e0d\u80fd\u5b8c\u6210）\u3002 \u3010\u7b97\u6cd5\u4ee3\u7801\u3011<\/span><\/p>\n

#include <bits\/stdc++.h>
\nusing namespace std;<\/p>\n

const int N=2e5+5;
\nconst int M=1e2+5;
\nvector<int> v[N];
\nint st[M][N];
\nint T,n,k,q;<\/p>\n

int main() {
\n cin>>T;
\n while(T–) {
\n memset(st,-1,sizeof st);
\n scanf("%d%d%d",&n,&k,&q);
\n for(int i=1; i<=n; i++) {
\n v[i].clear();
\n int len;
\n scanf("%d",&len);
\n for(int j=1; j<=len; j++) {
\n int t;
\n scanf("%d",&t);
\n v[i].push_back(t);
\n }
\n }<\/p>\n

st[0][1]=0;
\n for(int i=1; i<=100; i++) {
\n for(int j=1; j<=n; j++) {
\n int len=0;
\n for(auto t:v[j]) {
\n len=max(len-1,0);
\n if(len) {
\n if(st[i][t]==-1) st[i][t]=j;
\n else if(st[i][t] && st[i][t]!=j) st[i][t]=0;
\n }
\n if(st[i-1][t]!=-1 && st[i-1][t]!=j) len=k;
\n }
\n }
\n }<\/p>\n

while(q–) {
\n int x,y;
\n scanf("%d%d",&x,&y);
\n if(st[x][y]!=-1) cout<<1<<endl;
\n else cout<<0<<endl;
\n }
\n }<\/p>\n

return 0;
\n}<\/p>\n

\/*
\nin:
\n1
\n3 3 7
\n5 1 2 3 4 1
\n3 1 2 5
\n3 5 1 6
\n1 2
\n1 4
\n2 4
\n3 4
\n6 6
\n1 1
\n7 7<\/p>\n

out:
\n1
\n0
\n1
\n0
\n1
\n0
\n0
\n*\/ <\/p>\n

\u3010\u53c2\u8003\u6587\u732e\u3011<\/span> https:\/\/www.luogu.com.cn\/problem\/solution\/P11230 \u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"

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