最小生成树的计数问题
https://www.luogu.com.cn/problemnew/solution/P4208
看这里的题解就够了其实
#include<iostream>
#include<cstdio>
#include<cstring>
#include<vector>
#include<algorithm>
#define maxn 1010
using namespace std;
const int mod = 31011;
int n, m;
struct Node {
int be, en, len, cnt;
}que[maxn];
vector<Node>ins;
bool bml(Node a, Node b) {
return a.len < b.len;
}
int par[111];
int find(int x) {
if (par[x] == -1) return x;
return find(par[x]);
}
int ans = 0;
int dfs(int x, int i, int k) {
if (i == ins[x].en + 1) {
if (k == ins[x].cnt) ans++;
return 0;
}
int a = find(que[i].be);
int b = find(que[i].en);
if (a != b) {
par[a] = b;
dfs(x, i + 1, k + 1);//选
par[a] = -1;
par[b] = -1;
}
dfs(x, i + 1, k);//不选
}
int main() {
memset(par, -1, sizeof(par));
scanf("%d%d", &n, &m);
for (int i = 1; i <= m; i++) {
scanf("%d%d%d", &que[i].be, &que[i].en, &que[i].len);
}
sort(que + 1, que + m + 1, bml);
que[m + 1].len = -1;
int cnt = 0;
int nn = 0;
for (int i = 1; i <= m; i++) {
int a = find(que[i].be);
int b = find(que[i].en);
if (a != b) {
par[a] = b;
cnt++;
nn++;
}
if (que[i].len != que[i+1].len) {
Node an;
an.en = i;
an.len = que[i].len;
an.cnt = cnt;
cnt = 0;
if (ins.size() == 0) an.be = 1;
else an.be = ins[ins.size() - 1].en + 1;
ins.push_back(an);
}
}
if (nn != n - 1) {
printf("0\n");
return 0;
}
memset(par, -1, sizeof(par));
int cns = 1;
for (int i = 0; i < ins.size(); i++) {
dfs(i, ins[i].be, 0);
cns = (cns*ans) % mod;
ans = 0;
for (int j = ins[i].be; j <= ins[i].en; j++) {
int a = find(que[j].be);
int b = find(que[j].en);
if (a != b) {
par[a] = b;
}
}
}
printf("%d\n", cns);
return 0;
}
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