CF - 1108 F MST Unification

题目传送门

题意:
在一幅图中, 问需要使得多少条边加一,使得最小生成树只有一种方案。

题解:
Kruskal,
sort完之后,
对于相通的一个边权w,我们可以分析出来有多少边是可以被放到图里面的,
然后我们再开始加边,
最后 多余的边就是 可以被放进去的 - 加进去的边。

代码:

/*
code by: zstu wxk
time: 2019/01/28
*/
#include<bits/stdc++.h>
using namespace std;
#define Fopen freopen("_in.txt","r",stdin); freopen("_out.txt","w",stdout);
#define LL long long
#define ULL unsigned LL
#define fi first
#define se second
#define pb push_back
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
#define lch(x) tr[x].son[0]
#define rch(x) tr[x].son[1]
#define max3(a,b,c) max(a,max(b,c))
#define min3(a,b,c) min(a,min(b,c))
typedef pair<int,int> pll;
const int inf = 0x3f3f3f3f;
const int _inf = 0xc0c0c0c0;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const LL _INF = 0xc0c0c0c0c0c0c0c0;
const LL mod =  (int)1e9+7;
const int N = 2e5 + 100;
int Wa(){return rand()%2;}
void Hack(int n){srand(time(0));int hack = 0;for(int j = 1; j <= n; ++j)hack += Wa();if(hack == n)puts("OH No!");}
int n, m;
struct Node{
    int u, v, w;
    bool operator < (const Node & x) const{
        return w < x.w;
    }
}e[N];
int pre[N];
void init(){
    for(int i = 1; i <= n; ++i)
        pre[i] = i;
}
int Find(int x){
    if(x == pre[x]) return x;
    return pre[x] = Find(pre[x]);
}
void Ac(){
    int u, v, w;
    for(int i = 1; i <= m; ++i)
        scanf("%d%d%d", &e[i].u, &e[i].v, &e[i].w);
    sort(e+1, e+1+m);
    int ans = 0;
    for(int i = 1; i <= m; ){
        int j = i+1;
        while(e[i].w == e[j].w) ++j;
        for(int k = i; k < j; ++k)
            if(Find(e[k].u) != Find(e[k].v)) ++ans;
        for(int k = i; k < j; ++k){
            if(Find(e[k].u) != Find(e[k].v)){
                pre[Find(e[k].u)] = Find(e[k].v);
                --ans;
            }
        }
        i = j;
    }
    printf("%d\n", ans);
}
int main(){
    while(~scanf("%d%d", &n, &m)){
        init();
        Ac();
    }
    return 0;
}
View Code

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转载自www.cnblogs.com/MingSD/p/10334047.html
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