P2619 如题
/*
Keyblinds Guide
###################
@Ntsc 2024
- Ctrl+Alt+G then P : Enter luogu problem details
- Ctrl+Alt+B : Run all cases in CPH
- ctrl+D : choose this and dump to the next
- ctrl+Shift+L : choose all like this
- ctrl+K then ctrl+W: close all
- Alt+la/ra : move mouse to pre/nxt pos'
*/
#include <bits/stdc++.h>
#include <queue>
using namespace std;
#define rep(i, l, r) for (int i = l, END##i = r; i <= END##i; ++i)
#define per(i, r, l) for (int i = r, END##i = l; i >= END##i; --i)
#define pb push_back
#define mp make_pair
#define int long long
#define ull unsigned long long
#define pii pair<int, int>
#define ps second
#define pf first
// #define innt int
#define itn int
// #define inr intw
// #define mian main
// #define iont int
#define rd read()
int read(){
int xx = 0, ff = 1;
char ch = getchar();
while (ch < '0' || ch > '9') {
if (ch == '-')
ff = -1;
ch = getchar();
}
while (ch >= '0' && ch <= '9')
xx = xx * 10 + (ch - '0'), ch = getchar();
return xx * ff;
}
void write(int out) {
if (out < 0)
putchar('-'), out = -out;
if (out > 9)
write(out / 10);
putchar(out % 10 + '0');
}
#define ell dbg('\n')
const char el='\n';
const bool enable_dbg = 1;
template <typename T,typename... Args>
void dbg(T s,Args... args) {
if constexpr (enable_dbg){
cerr << s;
if(1)cerr<<' ';
if constexpr (sizeof...(Args))
dbg(args...);
}
}
#define zerol = 1
#ifdef zerol
#define cdbg(x...) do { cerr << #x << " -> "; err(x); } while (0)
void err() { cerr << endl; }
template<template<typename...> class T, typename t, typename... A>
void err(T<t> a, A... x) { for (auto v: a) cerr << v << ' '; err(x...); }
template<typename T, typename... A>
void err(T a, A... x) { cerr << a << ' '; err(x...); }
#else
#define dbg(...)
#endif
const int N = 5e5 + 5;
const int INF = 1e3;
const int M = 1e7;
const int MOD = 1e9 + 7;
struct edge{
int a,b,c,col;
}e[N];
int t;
int n,m,K;
bool cmp(edge a,edge b){
if(a.c+t*(a.col==0)==b.c+t*(b.col==0))return a.col==0;
return a.c+t*(a.col==0)<b.c+t*(b.col==0);
}
int fa[N];
int find(int x){
if(fa[x]==x)return x;
return fa[x]=find(fa[x]);
}
pii kruskal(bool flg=0){
int sum=0,cnt=0;
sort(e+1,e+m+1,cmp);//不稳定排序!
for(int i=1;i<=n;i++)fa[i]=i;
for(int i=1;i<=m;i++){
if(flg&&cnt==K&&e[i].col==0)continue;
int faa=find(e[i].a),fbb=find(e[i].b);
if(faa==fbb)continue;
fa[faa]=fbb;
sum+=e[i].c+t*(e[i].col==0);
if(!e[i].col)cnt++;
}
return mp(sum,cnt);
}
int work(){
int l=-INF,r=INF;
int res=0;
while(l<=r){
// itn mid=l+r>>1;
// t=mid;
// if(kruskal().ps>=K)l=mid+1,res=mid;
// else r=mid-1;
int mid=(l+r)>>1;
t=mid;
auto tp=kruskal();
if(tp.ps>=K){
l=mid+1;
res=tp.pf-K*mid;//更新答案
}
else r=mid-1;
// for(int i=1;i<=m;i++)
// if(e[i].c==0)
// e[i].v-=mid;//最终要把加上的减掉
}
// cdbg(res,kruskal().ps);
// while(kruskal().ps<K){res--;t=res;cdbg(res,kruskal().ps);}
// while(kruskal().ps>K){res++;t=res;cdbg(res,kruskal().ps);}
// cdbg(res,kruskal().ps);
return res;
}
void solve(){
n=rd,m=rd,K=rd;
for(int i=1;i<=m;i++){
int a=rd+1,b=rd+1,c=rd,col=rd;
e[i]={a,b,c,col};
}
auto res=kruskal();
// if(res.ps==K)cout<<res.pf<<endl;
// else {
t=work();
cout<<t<<endl;
// res=kruskal(1);
// cdbg(res.pf,res.ps);
// cout<<res.pf-res.ps*t<<endl;
// }
}
signed main() {
// freopen("center.in","r",stdin);
// freopen("center.out","w",stdout);
int T=1;
while(T--){
solve();
}
return 0;
}