# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
304668 | MatijaL | 슈퍼트리 잇기 (IOI20_supertrees) | C++17 | 0 ms | 0 KiB |
이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
/**
* Author: MatijaL
* Time: 2020-09-21 15:05:48
**/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define pll pair<ll, ll>
#define loop(i, n) for(ll i = 0; i < n; i++)
#define FOR(i,n,m) for(ll i = n; i <= m; i++)
#define isIn(vec, item) find(vec.begin(), vec.end(), item) != vec.end()
#define fs first
#define sc second
#define pb push_back
#define mp make_pair
#define all(v) v.begin(),v.end()
#define inf 1000000005
#define mod 1000000007
const int limit = 1010;
int N;
int component[limit];
int rib[limit];
int parent1[limit];
int rank1[limit];
int find1(int node){
if(parent1[node] != node) return find1(parent1[node]);
return node;
}
void un1(int u, int v){
if(find1(u) == find1(v)) return;
if(rank1[u] < rank1[v]) swap(u, v);
if(rank1[u] == rank1[v]) rank1[u]++;
parent1[v] = u;
}
vector<int> comps[limit];
void resetDsu(){
loop(i, limit){
parent1[i] = i;
rank1[i] = 0;
}
}
int construct(vector<vector<int>> p){
N = p.size();
resetDsu();
//check for 3
loop(i, N) loop(j, N) if(p[i][j] == 3) return 0;
//divide into components
set<int> visited;
map<int, int> compId;
int id = 0;
loop(i, N){
loop(j, N){
//gledamo i x i-1
if(p[i][j] > 0){
un1(i, j);
}
}
}
//assign component id
loop(i, N){
int loc = find1(i);
if(visited.count(loc) == 0){
visited.insert(loc);
compId[loc] = id++;
}
int pos = compId[loc];
comps[pos].pb(i);
component[i] = pos;
}
//check collisions
loop(i, N){
loop(j, N){
if(i == j) continue;
if(component[i] != component[j] and p[i][j] > 0) return 0;
if(component[i] == component[j] and p[i][j] == 0) return 0;
}
}
resetDsu();
vector<vector<int>> b(N, vector<int>(N, 0));
//Handle each component
loop(c, id){
vector<int> nodes = comps[c];
//prepare the ribs
for(auto i : nodes) for(auto j : nodes){
if(i == j) continue;
if(p[i][j] == 1) un1(i, j);
}
//prepare edges
vector<int> roots;
set<int> rootSet;
for(auto i : nodes){
int par = find1(i);
if(rootSet.count(par) == 0){
rootSet.insert(par);
roots.pb(par);
}
if(par == i) continue;
b[par][i] = 1;
b[i][par] = 1;
}
//make a loop out of the roots
if(roots.size() == 2) return 0;
if(roots.size() > 2){
loop(i, roots.size()){
int u = roots[i];
int v = roots[(i+1)%roots.size()];
b[u][v] = 1;
b[v][u] = 1;
}
}
//check for collisions
for(auto i : nodes) for(auto j : nodes){
if(i == j) continue;
if(find1(i) != find1(j) and p[i][j] == 1) return 0;
if(find1(i) == find1(j) and p[i][j] == 2) return 0;
}
}
build(b);
return 1;
}