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7-34 红色警报 (10 分)(结构体并查集)

热度:42   发布时间:2023-11-21 15:14:23.0

7-34 红色警报 (10 分)

战争中保持各个城市间的连通性非常重要。本题要求你编写一个报警程序,当失去一个城市导致国家被分裂为多个无法连通的区域时,就发出红色警报。注意:若该国本来就不完全连通,是分裂的k个区域,而失去一个城市并不改变其他城市之间的连通性,则不要发出警报。

输入格式:

输入在第一行给出两个整数N(0 < N ≤ 500)和M(≤ 5000),分别为城市个数(于是默认城市从0到N-1编号)和连接两城市的通路条数。随后M行,每行给出一条通路所连接的两个城市的编号,其间以1个空格分隔。在城市信息之后给出被攻占的信息,即一个正整数K和随后的K个被攻占的城市的编号。

注意:输入保证给出的被攻占的城市编号都是合法的且无重复,但并不保证给出的通路没有重复。

输出格式:

对每个被攻占的城市,如果它会改变整个国家的连通性,则输出Red Alert: City k is lost!,其中k是该城市的编号;否则只输出City k is lost.即可。如果该国失去了最后一个城市,则增加一行输出Game Over.。

输入样例:

5 4
0 1
1 3
3 0
0 4
5
1 2 0 4 3

结尾无空行

输出样例:

City 1 is lost.
City 2 is lost.
Red Alert: City 0 is lost!
City 4 is lost.
City 3 is lost.
Game Over.

结尾无空行

三刷、满分代码

#include<bits/stdc++.h>
using namespace std;
#define N 510 
#define M 5010 
int n ,m ,k ,vis[N] ,p[N];
struct node {int x;int y;
}g[M];
int find(int x) {if (x != p[x]) p[x] = find(p[x]);return p[x];
}
int main() {cin >> n >> m;for (int i = 0; i < n; i++) p[i] = i;for (int i = 0; i < m; i++) {cin >> g[i].x >> g[i].y;if (find(g[i].x) != find(g[i].y))p[find(g[i].x)] = find(g[i].y);}int cnt1 = 0;for (int i = 0; i < n; i++) {if (p[i] == i) cnt1 ++;}cin >> k;for (int j = 0; j < k; j++) {int x ,cnt2 = 0;cin >> x;vis[x] = 1;for (int i =0 ; i < n; i++) p[i] = i;for (int i = 0; i < m; i++) {if (vis[g[i].x] == 1 ||vis[g[i].y] == 1) continue;if (find(g[i].x) != find(g[i].y))p[find(g[i].x)] = find(g[i].y);}for (int i = 0; i < n; i++) {if (p[i] == i)cnt2++;}if (cnt2 - cnt1 > 1) printf ("Red Alert: City %d is lost!\n" ,x);else printf ("City %d is lost.\n" ,x);cnt1 = cnt2;}if (k >= n) cout << "Game Over.\n";return 0;
}

两分的代码

#include<iostream>
using namespace std;
const int N=510,M=10010;
int n,m,k,cnt1,cnt2,c;
int p[N],vis[N];
int find(int x){if(x!=p[x])p[x]=find(p[x]);return p[x];
}
void add(int x,int y){x=find(x);y=find(y);p[x]=y;
}
struct ll{int c1,c2;
}s[M];
int main(){cin>>n>>m;for(int i=0;i<n;i++)p[i]=i;for(int i=0;i<m;i++){cin>>s[i].c1>>s[i].c2;add(s[i].c1,s[i].c2);}for(int i=0;i<n;i++)if(p[i]==i)cnt1++;cin>>k;for(int i=0;i<k;i++){cin>>c;for(int j=0;j<n;j++)p[j]=j;vis[c]=1;for(int j=0;j<m;j++){if(vis[s[j].c1]==1||vis[s[j].c2]==1)continue;add(s[j].c1,s[j].c2);}cnt2=0;for(int j=0;j<n;j++)if(p[j]==j)cnt2++;if(cnt2-1==cnt1||cnt2==cnt1)cout<<"City "<<c<<" is lost."<<endl;else cout<<"Red Alert: City "<<c<<" is lost!"<<endl;cnt1=cnt2;}if(k>=n)cout<<"Gream Over."<<endl;return 0;
}
#include<iostream>
using namespace std;int father[501];
int N,M;
int visit[501]; struct data{//记道路int x;int y;
};int find(int x){while(father[x] != x){x = father[x];}return x;
}void add(int x,int y){int x1 = find(x);int y1 = find(y);if(x1 != y1){father[x1] = y1;}
}int main(){cin>>N>>M;int a,b;struct data node [M];for(int i=0;i<N;i++){father[i] = i;}for(int i=0;i<M;i++){cin>>a>>b;node[i].x = a;node[i].y = b;add(a,b);//合并节点,将可以连通的节点合并}int num1 = 0;for(int i=0;i<N;i++){if(father[i] == i){num1++;//统计块的个数}}int K;cin>>K;int n;for(int j=0;j<K;j++){cin>>n;//重新计算numfor(int i=0;i<N;i++){father[i] = i;}visit[n] = 1;//这个数组的作用是,标记删除过的节点for(int i=0;i<M;i++){if(visit[node[i].x] == 1 || visit[node[i].y] == 1){continue;//结束本次循环,进行下次循环}add(node[i].x,node[i].y);//合并没有被删除过的节点}int num2 = 0;for(int i=0;i<N;i++){if(father[i] == i){num2++;}}if(num2-1 == num1 || num2 == num1){cout<<"City "<<n<<" is lost."<<endl;}else{cout<<"Red Alert: City "<<n<<" is lost!"<<endl;}num1 = num2;}if(K >= N)cout<<"Game Over."<<endl;return 0;
}