# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
860725 | E869120 | Stranded Far From Home (BOI22_island) | C++14 | 0 ms | 0 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
class UnionFind {
public:
vector<long long> par;
vector<long long> sum;
void init(int sz) {
par.resize(sz, -1);
sum.resize(sz, 0);
}
void touroku(int pos, long long x) {
sum[pos] += x;
}
int root(int pos) {
if (par[pos] == -1) return pos;
par[pos] = root(par[pos]);
return par[pos];
}
void unite(int u, int v) {
u = root(u); v = root(v);
if (u == v) return;
if (u > v) swap(u, v);
sum[v] += sum[u];
par[u] = v; // Add edge v -> u
}
};
long long N, S[1 << 19];
long long M, A[1 << 19], B[1 << 19];
bool Eval[1 << 19];
vector<long long> Zahyou;
vector<pair<int, int>> Edge[1 << 19];
vector<int> G[1 << 19];
UnionFind UF;
void dfs(int pos) {
for (int to : G[pos]) Eval[to] |= Eval[pos];
for (int to : G[pos]) dfs(to);
}
int main() {
// Step 1. Input
scanf("%lld%lld", &N, &M);
for (int i = 1; i <= N; i++) scanf("%lld", &S[i]);
for (int i = 1; i <= M; i++) scanf("%lld%lld", &A[i], &B[i]);
// Step 2. Compression
for (int i = 1; i <= N; i++) Zahyou.push_back(S[i]);
sort(Zahyou.begin(), Zahyou.end());
Zahyou.erase(unique(Zahyou.begin(), Zahyou.end()), Zahyou.end());
// Step 3. Add Edges
for (int i = 1; i <= M; i++) {
int pos1 = lower_bound(Zahyou.begin(), Zahyou.end(), max(S[A[i]], S[B[i]])) - Zahyou.begin();
Edge[pos1].push_back(make_pair(A[i], B[i]));
}
// Step 4. Union Find
UF.init(2 * N + 2);
for (int i = 1; i <= N; i++) UF.touroku(i, S[i]);
int cnts = N;
for (int i = 0; i < Zahyou.size(); i++) {
for (pair<int, int> e : Edge[i]) {
int idx1 = UF.root(e.first);
int idx2 = UF.root(e.second);
if (UF.sum[idx1] < Zahyou[i]) Eval[idx1] = true;
if (UF.sum[idx2] < Zahyou[i]) Eval[idx2] = true;
}
for (pair<int, int> e : Edge[i]) {
cnts += 1;
int idx1 = UF.root(e.first);
int idx2 = UF.root(e.second);
if (UF.same(cnts, idx1) == false) { UF.unite(cnts, idx1); G[cnts].push_back(idx1); }
if (UF.same(cnts, idx2) == false) { UF.unite(cnts, idx2); G[cnts].push_back(idx2); }
}
}
// Step 5. DFS
dfs(cnts);
for (int i = 1; i <= N; i++) {
if (Eval[i] == false) printf("1");
else printf("0");
}
printf("\n");
return 0;
}