二分最大边权,把不大于mid的边做个生成树。
因为只要保证最大值不超过mid即可,具体边权、边权总和无所谓的。
/* Telekinetic Forest Guard */
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int maxn = 10005, maxm = 20005;
int n, m, k, fa[maxn];
struct _edge {
int u, v, w, c;
} g[maxm << 1];
inline int iread() {
int f = 1, x = 0; char ch = getchar();
for(; ch < '0' || ch > '9'; ch = getchar()) f = ch == '-' ? -1 : 1;
for(; ch >= '0' && ch <= '9'; ch = getchar()) x = x * 10 + ch - '0';
return f * x;
}
inline int find(int x) {
return fa[x] == x ? x : fa[x] = find(fa[x]);
}
inline bool check(int mid) {
for(int i = 1; i <= n; i++) fa[i] = i;
int cnt = 0;
for(int i = 1; i <= m; i++) if(g[i].w <= mid) {
int u = find(g[i].u), v = find(g[i].v);
if(u != v) fa[u] = v, cnt++;
}
if(cnt < k) return 0;
for(int i = 1; i <= m; i++) if(g[i].c <= mid) {
int u = find(g[i].u), v = find(g[i].v);
if(u != v) fa[u] = v, cnt++;
}
return cnt == n - 1;
}
int main() {
n = iread(); k = iread(); m = iread(); m--;
int l = 1, r = 1;
for(int i = 1; i <= m; i++) {
int u = iread(), v = iread(), w = iread(), c = iread();
g[i] = (_edge){u, v, w, c};
r = max(r, max(w, c));
}
while(l <= r) {
int mid = l + r >> 1;
if(check(mid)) r = mid - 1;
else l = mid + 1;
}
printf("%d\n", l);
return 0;
}