# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
96247 | Retro3014 | 통행료 (APIO13_toll) | C++17 | 7 ms | 2680 KiB |
이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <iostream>
#include <vector>
#include <algorithm>
#include <stdio.h>
using namespace std;
#define MAX_N 100000
#define MAX_M 300000
#define MAX_K 20
typedef long long ll;
int N, M, K;
struct EDGE{
EDGE (int x, int y, int z) : x(x), y(y), z(z) {}
int x, y, z;
bool operator <(const EDGE &a)const{
return z<a.z;
}
};
vector<EDGE> edge, edge2;
/*struct EDGE2{
EDGE2 (int x, int y) : x(x), y(y) {}
int x, y;
};
vector<EDGE2> edge2;*/
vector<int> P;
vector<int> gp[MAX_N+1];
int g[MAX_N+1];
void init(){
for(int i=1; i<=N; i++) g[i] = i;
}
int find_g(int x){
if(x==g[x]) return x;
return g[x] = find_g(g[x]);
}
void union_g(int x, int y){
x = find_g(x); y = find_g(y);
g[x] = y;
}
bool use[MAX_M+1];
void solve1(){
int idx = -1;
init();
for(int i=0; i<edge.size(); i++){
if(find_g(edge[i].x)==find_g(edge[i].y)) continue;
union_g(edge[i].x, edge[i].y);
use[i] = true;
if(idx==-1 && find_g(edge2[0].x)==find_g(edge2[0].y)){
idx = i;
use[i] = false;
}
}
//cout<<idx<<endl;
init();
for(int i=0; i<edge.size(); i++){
if(!use[i]) continue;
union_g(edge[i].x, edge[i].y);
}
ll ans=0;
for(int i=1; i<=N; i++){
if(find_g(i)==find_g(1)) continue;
ans += (ll)P[i];
}
ans *= (ll)edge[idx].z;
printf("%lld", ans);}
bool chk[MAX_K+1];
int p[MAX_N+1];
void dfs(int x){
for(int i=0; i<gp[x].size(); i++){
if(gp[x][i]==p[x]) continue;
p[gp[x][i]] = x;
dfs(gp[x][i]);
}
}
vector<int> idx;
ll answer;
int T;
ll dfs2(int x){
ll sum = P[x];
for(int i=0; i<gp[x].size(); i++){
if(gp[x][i]==p[x]) continue;
sum+=dfs2(gp[x][i]);
}
for(int i=0; i<K; i++){
if(((1<<i)&T)==0) continue;
if(edge2[i].y==x){
answer += (ll)edge2[i].z * sum;
}
}
return sum;
}
void solve2(){
ll ans = 0;
init();
T = (1<<K);
bool tf = false;
while(T--){
init();
answer = 0;
tf = false;
for(int i=0; i<K; i++) chk[i] = false;
for(int i=0; i<M; i++) use[i] = false;
for(int i=0; i<edge.size(); i++){
if(find_g(edge[i].x)==find_g(edge[i].y)) continue;
union_g(edge[i].x, edge[i].y);
use[i] = true;
for(int j=0; j<K; j++){
if((((1<<j)&T)!=0) && !chk[j] && find_g(edge2[j].x)==find_g(edge2[j].y)){
edge2[j].z = edge[i].z;
chk[j] = true;
use[i] = false;
break;
}
}
for(int j=0; j<K; j++){
if((((1<<j)&T)!=0) && !chk[j] && find_g(edge2[j].x)==find_g(edge2[j].y)){
tf = true;
break;
}
}
if(tf) break;
}
for(int i=0; i<K; i++){
if((((1<<i)&T)!=0) && !chk[i]){
tf = true;
break;
}
}
if(tf) continue;
for(int i=1; i<=N; i++){
gp[i].clear();
}
for(int i=0; i<edge.size(); i++){
if(!use[i]) continue;
gp[edge[i].x].push_back(edge[i].y); gp[edge[i].y].push_back(edge[i].x);
}
for(int i=0; i<K; i++){
if(((1<<i)&T)==0) continue;
gp[edge2[i].x].push_back(edge2[i].y); gp[edge2[i].y].push_back(edge2[i].x);
}
//cout<<N<<' '<<M<<' '<<K<<endl;
/*for(int i=1; i<=N; i++){
for(int j=0; j<gp[i].size(); j++){
printf("%d ", gp[i][j]);
}
printf("\n");
}*/
//for(int i=1; i<=N; i++) p[i] = 0;
dfs(1);
for(int i=0; i<K; i++){
if(((1<<i)&T)==0) continue;
if(edge2[i].y==p[edge2[i].x]){
int tmp = edge2[i].y; edge2[i].y = edge2[i].x; edge2[i].x = tmp;
}
}
dfs2(1);
ans = max(ans, answer);
}
printf("%lld", ans);
}
int main(){
scanf("%d%d%d", &N, &M, &K);
for(int i=0; i<M; i++){
int a, b, c;
scanf("%d%d%d", &a, &b, &c);
edge.push_back({a, b, c});
}sort(edge.begin(), edge.end());
for(int i=0; i<K; i++){
int a, b;
scanf("%d%d", &a, &b); edge2.push_back({a, b, 0});
}P.push_back(0);
for(int i=1; i<=N; i++){
int a; scanf("%d", &a); P.push_back(a);
}
//if(N<=10 && M<=20 && K==1) solve1();
solve2();
return 0;
}
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