제출 #947395

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
947395		parlimoos	통행료 (APIO13_toll)	C++14	16 / 100	12 ms	2396 KiB

toll

//Be Name KHODA
#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
#define pb push_back
#define pp pop_back
#define lb lower_bound
#define ub upper_bound
#define cl clear
#define bg begin
#define arr(x) array<int , x>
#define endl '\n'

int n , m , k;
vector<arr(3)> mst , cnds , uss;
vector<int> a , bckis;
vector<arr(2)> adds;
ll dsu[100000][2] , mem[100000] , bck[100000][2];
bool dsumd = 0;
multiset<int> ms;

void init(){
    for(int v = 0 ; v < n ; v++) dsu[v][0] = -1 , dsu[v][1] = a[v] , bck[v][0] = -2 , bck[v][1] = -2;
}
int findDsu(int v){
    if(dsu[v][0] == -1) return v;
    if(dsumd and bck[v][0] == -2) bck[v][0] = dsu[v][0] , bck[v][1] = dsu[v][1] , bckis.pb(v);
    if((int)bckis.size() > n) exit(0);
    return (dsu[v][0] = findDsu(dsu[v][0]));
}
void uDsu(int a , int b){
    a = findDsu(a) , b = findDsu(b);
    if(a == b) return;
    if(dsumd){
        if(bck[a][0] == -2) bck[a][0] = dsu[a][0] , bck[a][1] = dsu[a][1] , bckis.pb(a);
        if(bck[b][0] == -2) bck[b][0] = dsu[b][0] , bck[b][1] = dsu[b][1] , bckis.pb(b);
    }
    if((int)bckis.size() > n) exit(0);
    dsu[a][1] += dsu[b][1] , dsu[b][0] = a;
}
void clDsu(){
    for(int v : bckis) dsu[v][0] = bck[v][0] , dsu[v][1] = bck[v][1] , bck[v][0] = -2 , bck[v][1] = -2;
    bckis.resize(0);
}
void getCnds(){
    for(auto e : adds) uDsu(e[0] , e[1]);
    for(auto e : mst){
        if(findDsu(e[1]) == findDsu(e[2])) cnds.pb(e);
        else uDsu(e[1] , e[2]);
    }
    init();
    for(auto e : mst){
        if(!(binary_search(cnds.bg() , cnds.end() , e))) uDsu(e[1] , e[2]);
    }
    dsumd = 1;
}
bool jg(int e , int msk , int c){
    for(int i = 0 ; i < k ; i++){
        if(i == e or !((msk >> i) & 1)) continue;
        uDsu(adds[i][0] , adds[i][1]);
    }
    bool res = 1;
    for(auto ee : cnds){
        if(ee[0] >= c){
            if(findDsu(adds[e][0]) == findDsu(adds[e][1])) res = 0;
            clDsu();
            return res;
        }
        uDsu(ee[1] , ee[2]);
    }
    if(findDsu(adds[e][0]) == findDsu(adds[e][1])) res = 0;
    clDsu();
    return res;
}
int bs(int e , int msk){
    int l = 0 , r = int(1e6) + 1;
    while(r - l - 1 > 1){
        int c = l + (r - l - 1) / 2 + 1;
        if(jg(e , msk , c)) l = c - 1;
        else r = c;
    }
    if(r - l - 1 == 1){
        if(jg(e , msk , l + 1)) return l + 1;
    }
    return l;
}
ll dfs1(int v , int p , int msk){
    ll res = 0;
    mem[v] = dsu[v][1] , ms.insert(v);
    for(int e = 0 ; e < k ; e++){
        if(!((msk >> e) & 1)) continue;
        if(findDsu(adds[e][0]) != v and findDsu(adds[e][1]) != v) continue;
        int u = findDsu(adds[e][0]) + findDsu(adds[e][1]) - v;
        if(ms.find(u) != ms.end()) continue;
        res += dfs1(u , v , msk) , mem[v] += mem[u];
        ll d = bs(e , msk);
        res += d * mem[u];
    }
    return res;
}
ll getCst(int msk){
    ll res;
    for(int e = 0 ; e < k ; e++){
        if(!((msk >> e) & 1)) continue;
        uDsu(adds[e][0] , adds[e][1]);
    }
    for(auto e : cnds){
        if(findDsu(e[1]) == findDsu(e[2])) continue;
        uss.pb(e);
    }
    clDsu();
    for(auto e : uss) uDsu(e[1] , e[2]);
    ms.cl() , res = dfs1(findDsu(0) , -1 , msk);
    clDsu() , uss.cl();
    return res;
}
ll f(){
    ll res = 0;
    for(int msk = 1 ; msk < (1 << k) ; msk++){
        res = max(res , getCst(msk));
    }
    return res;
}

int main(){
    ios::sync_with_stdio(0);
    cin.tie(0);

    cin >> n >> m >> k;
    vector<arr(3)> es;
    for(int i = 0 ; i < m ; i++){
        int v , u , c;
        cin >> v >> u >> c;
        v-- , u--;
        es.pb({c , v , u});
    }
    for(int i = 0 ; i < k ; i++){
        int v , u;
        cin >> v >> u;
        adds.pb({v - 1 , u - 1});
    }
    for(int i = 0 ; i < n ; i++){
        int d;
        cin >> d;
        a.pb(d);
    }
    init();
    sort(es.bg() , es.end());
    for(auto e : es){
        if(findDsu(e[1]) == findDsu(e[2])) continue;
        mst.pb(e) , uDsu(e[1] , e[2]);
    }
    // exit(0);
    init() , getCnds();
    cout << f();
}

• Subtask 1: 16 / 16
• Subtask 2: 0 / 18
• Subtask 3: 0 / 22
• Subtask 4: 0 / 22
• Subtask 5: 0 / 22