Gym - 100203H Highways 最小生成树
题意:平面上n个点修路,已经修好了m条,再修若干条使得点之间连通,求最小代价的方案。
思路:基本上是裸的最小生成树了,我这里存边直接存在multyset了,取的时候也比较方便,我本来就是这么考虑的,队友打了一发朴素的排序的超时了。
#include <iostream>
#include <cstdio>
#include <fstream>
#include <algorithm>
#include <cmath>
#include <deque>
#include <vector>
#include <queue>
#include <string>
#include <cstring>
#include <map>
#include <stack>
#include <set>
#define LL long long
#define eps 1e-8
#define INF 0x3f3f3f3f
#define MAXN 755
using namespace std;
struct Edge{
int from, to;
LL dis;
Edge(int from, int to, LL dis):from(from), to(to), dis(dis){};
bool operator <(const Edge &b) const{
return dis < b.dis;
}
};
multiset<Edge> s;
struct Point{
int x, y;
}p[MAXN];
LL dis[MAXN][MAXN];
bool vis[MAXN][MAXN];
int father[MAXN];
int scan(){
int res = , ch, flag = ; if((ch = getchar()) == '-')
flag = ; else if(ch >= '' && ch <= '')
res = ch - '';
while((ch = getchar()) >= '' && ch <= '' )
res = res * + ch - ''; return flag ? -res : res;
}
LL getdis(Point a, Point b){
LL x = abs(a.x - b.x);
LL y = abs(a.y - b.y);
return x * x + y * y;
}
int find(int x){
if(father[x] == x) return x;
father[x] = find(father[x]);
return father[x];
}
int main()
{
#ifndef ONLINE_JUDGE
freopen("in.txt", "r", stdin);
//freopen("out.txt", "w", stdout);
#endif // OPEN_FILE
int n = scan();
for(int i = ; i <= n; i++){
father[i] = i;
p[i].x = scan();
p[i].y = scan();
}
s.clear();
LL dis;
for(int i = ; i <= n; i++){
for(int j = i + ; j <= n; j++){
dis = getdis(p[i] ,p[j]);
s.insert(Edge(i, j, dis));
}
}
int m =scan();
int x, y;
for(int i = ; i <= m; i++){
x = scan();
y = scan();
vis[x][y] = true;
x = find(x);
y = find(y);
if(x == y) continue;
father[x] = y;
}
multiset<Edge>::iterator it = s.begin();
while(it != s.end()){
Edge u = *it;
it++;
if(vis[u.from][u.to] || vis[u.to][u.from]) continue;
x = find(u.from);
y = find(u.to);
if(x == y) continue;
father[x] = y;
printf("%d %d\n", u.from, u.to);
} }
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