문제
링크
풀이
#include <algorithm>
#include <iostream>
#include <vector>
using namespace std;
vector<int> parent, sz;
void init_dsu(int n) {
parent.resize(n);
sz.resize(n);
for (int i=0; i<n; i++) {
parent[i] = i;
sz[i] = 1;
}
}
int find_set(int v) {
if (v == parent[v]) return v;
return parent[v] = find_set(parent[v]);
}
void union_sets(int a, int b) {
a = find_set(a);
b = find_set(b);
if (a != b) {
if (sz[a] < sz[b]) swap(a, b);
parent[b] = a;
sz[a] += sz[b];
}
}
int get_set_size(int v) {
return sz[find_set(v)];
}
bool solve(void) {
int n; cin >> n;
int m; cin >> m;
init_dsu(n);
for (int i=0; i<n; i++) for (int j=0; j<n; j++) {
int x; cin >> x;
if (x) union_sets(i, j);
}
vector<int> v(m);
for (int i=0; i<m; i++) cin >> v[i], v[i]--;
for (int i=1; i<m; i++) {
if (find_set(v[i-1]) != find_set(v[i])) return false;
}
return true;
}
int main(void) {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout << (solve() ? "YES" : "NO");
return 0;
}