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답안 #947907

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
947907 2024-03-17T08:51:52 Z parlimoos 통행료 (APIO13_toll) C++14
78 / 100
 2500 ms 11216 KB 
//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;
vector<int> a;
vector<arr(2)> adds , g[100000];
ll dsuc[100000] , bckc[1000000] , mem[100000];
int dsuinx = -1 , dsucnt = 0 , cnds[21][3] , uss[21][2] , uns[21][3];
int dsuv[100000] , bckv[1000000][2];
bool iscnd[100000] , bckms[100000];

void init(){
    for(int v = 0 ; v < n ; v++) dsuv[v] = -1 , dsuc[v] = a[v];
}
void svDsu(int v){
    if(true){
        bckv[dsucnt][0] = v , bckv[dsucnt][1] = dsuv[v];
        bckc[dsucnt++] = dsuc[v] , bckms[v] = 1;
    }
}
int findDsu(int v){
    if(dsuv[v] == -1) return v;
    if(dsuinx != -1) svDsu(v);
    return (dsuv[v] = findDsu(dsuv[v]));
}
void uDsu(int b , int a){
    a = findDsu(a) , b = findDsu(b);
    if(a == b) return;
    if(dsuinx != -1) svDsu(a) , svDsu(b);
    dsuc[a] += dsuc[b] , dsuv[b] = a;
}
void clDsu(){
    for(int i = dsucnt - 1 ; i >= dsuinx ; i--){
        dsuv[bckv[i][0]] = bckv[i][1] , dsuc[bckv[i][0]] = bckc[i];
        bckms[bckv[i][0]] = 0;
    }
    dsucnt = dsuinx;
}
void getCnds(){
    for(auto &e : adds) uDsu(e[0] , e[1]);
    int cnt = 0;
    for(int e = 0 ; e < n - 1 ; e++){
        if(findDsu(mst[e][1]) == findDsu(mst[e][2])) cnds[cnt][0] = mst[e][0] , cnds[cnt][1] = mst[e][1] , cnds[cnt++][2] = mst[e][2] , iscnd[e] = 1;
        else uDsu(mst[e][1] , mst[e][2]);
    }
    cnds[cnt][0] = -1;
    init();
    for(int e = 0 ; e < n - 1 ; e++){
        if(!iscnd[e]) uDsu(mst[e][1] , mst[e][2]);
    }
    dsuinx = 0;
}
int bs(int e , int msk){
    dsuinx = dsucnt;
    for(int i = 0 ; i < k ; i++){
        if(i == e or !((msk >> i) & 1)) continue;
        uDsu(adds[i][0] , adds[i][1]);
    }
    int res = 0;
    for(int i = 0 ; uns[i][0] != -1 ; i++){
        if(findDsu(adds[e][0]) == findDsu(adds[e][1])) break;
        res = uns[i][0] , uDsu(uns[i][1] , uns[i][2]);
    }
    clDsu() , dsuinx = 0;
    return res;
}
ll dfs1(int v , int p){
    ll res = 0;
    mem[v] = dsuc[v];
    for(auto &e : g[v]){
        int u = e[0] - v;
        if(u == p) continue;
        res += dfs1(u , v) , mem[v] += mem[u];
        res += (1ll * e[1]) * mem[u];
    }
    return res;
}
ll getCst(int msk){
    ll res;
    for(int e = 0 ; e < k ; e++){
        if(!((msk >> e) & 1)) continue;
        int r1 = findDsu(adds[e][0]) , r2 = findDsu(adds[e][1]);
        if(r1 == r2){
            dsuinx = 0 , clDsu();
            return 0;
        }
        uDsu(r1 , r2);
    }
    int c1 = 0 , c2 = 0;
    for(int i = 0 ; cnds[i][0] != -1 ; i++){
        int r1 = findDsu(cnds[i][1]) , r2 = findDsu(cnds[i][2]);
        if(r1 == r2) uns[c1][0] = cnds[i][0] , uns[c1][1] = cnds[i][1] , uns[c1++][2] = cnds[i][2];
        else uDsu(r1 , r2) , uss[c2][0] = cnds[i][1] , uss[c2++][1] = cnds[i][2];
    }
    uns[c1][0] = -1 , uss[c2][0] = -1;
    dsuinx = 0 , clDsu();
    for(int i = 0 ; uss[i][0] != -1 ; i++) uDsu(uss[i][0] , uss[i][1]);
    for(int i = 0 ; i < dsucnt ; i++) bckms[bckv[i][0]] = 0;
    for(int e = 0 ; e < k ; e++){
        if(((msk >> e) & 1)){
            int r1 = findDsu(adds[e][0]) , r2 = findDsu(adds[e][1]) , d = bs(e , msk);
            g[r1].pb({r1 + r2 , d}) , g[r2].pb({r1 + r2 , d});
        }
    }
    res = dfs1(findDsu(0) , -1);
    for(int e = 0 ; e < k ; e++) if(((msk >> e) & 1)) g[findDsu(adds[e][0])].pp() , g[findDsu(adds[e][1])].pp();
    dsuinx = 0 , clDsu();
    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]);
    }
    init() , getCnds();
    cout << f();
}

Subtask #1
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2648 KB Output is correct
2 Correct 2 ms 2648 KB Output is correct

Subtask #2
18.0 / 18.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2648 KB Output is correct
2 Correct 2 ms 2648 KB Output is correct
3 Correct 4 ms 2648 KB Output is correct
4 Correct 3 ms 2652 KB Output is correct

Subtask #3
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2648 KB Output is correct
2 Correct 2 ms 2648 KB Output is correct
3 Correct 4 ms 2648 KB Output is correct
4 Correct 3 ms 2652 KB Output is correct
5 Correct 6 ms 2908 KB Output is correct
6 Correct 4 ms 2908 KB Output is correct

Subtask #4
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2648 KB Output is correct
2 Correct 2 ms 2648 KB Output is correct
3 Correct 4 ms 2648 KB Output is correct
4 Correct 3 ms 2652 KB Output is correct
5 Correct 6 ms 2908 KB Output is correct
6 Correct 4 ms 2908 KB Output is correct
7 Correct 357 ms 10972 KB Output is correct
8 Correct 327 ms 10848 KB Output is correct
9 Correct 313 ms 10932 KB Output is correct

Subtask #5
0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 2648 KB Output is correct
2 Correct 2 ms 2648 KB Output is correct
3 Correct 4 ms 2648 KB Output is correct
4 Correct 3 ms 2652 KB Output is correct
5 Correct 6 ms 2908 KB Output is correct
6 Correct 4 ms 2908 KB Output is correct
7 Correct 357 ms 10972 KB Output is correct
8 Correct 327 ms 10848 KB Output is correct
9 Correct 313 ms 10932 KB Output is correct
10 Execution timed out 2508 ms 11216 KB Time limit exceeded
11 Halted 0 ms 0 KB -