题目链接 Problems
Problem A
Problem B
bitset……
Problem C
Problem D
Problem E
Problem F
Problem G
考虑最小生成树的时候,
合并两个点的时候就新建一个点,把这两个点都指向新的那个点。
然后给这两个点都打上delta标记。
最后dfs这棵新的树就好了。
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for (int i(a); i <= (b); ++i)
#define dec(i, a, b) for (int i(a); i >= (b); --i)
#define fi first
#define se second
typedef unsigned long long LL;
const int N = 4e5 + 10;
const int M = 3e5 + 10;
struct node{
int x, y;
LL z;
friend bool operator < (const node &a, const node &b){
return a.z < b.z;
}
} e[M];
int T;
int n, m;
int father[N];
int id;
int ca = 0;
LL sz[N];
LL delta[N];
LL ans[N];
vector <int> v[N];
int getfather(int x){
return father[x] == x ? x : father[x] = getfather(father[x]);
}
void dfs(int x, LL ss){
if (x <= n) ans[x] = ss;
for (auto u : v[x]){
dfs(u, ss + delta[u]);
}
}
int main(){
scanf("%d", &T);
while (T--){
scanf("%d%d", &n, &m);
rep(i, 1, n) father[i] = i;
rep(i, 0, n * 3) sz[i] = 0, delta[i] = 0;
rep(i, 1, n) sz[i] = 1;
rep(i, 0, n * 3) v[i].clear();
rep(i, 1, m){
scanf("%d%d%llu", &e[i].x, &e[i].y, &e[i].z);
}
id = n;
sort(e + 1, e + m + 1);
rep(i, 0, n * 2) ans[i] = 0;
rep(i, 1, m){
int x = e[i].x, y = e[i].y;
LL z = e[i].z;
int fx = getfather(x), fy = getfather(y);
if (fx == fy) continue;
++id;
v[id].push_back(fx);
v[id].push_back(fy);
sz[id] = sz[fx] + sz[fy];
father[fx] = id;
father[fy] = id;
father[id] = id;
delta[fx] = z * sz[fy];
delta[fy] = z * sz[fx];
}
dfs(id, 0);
LL ret = 0;
rep(i, 1, n) ret ^= ((LL)i * ans[i]);
printf("Case #%d: %llu
", ++ca, ret);
}
return 0;
}