#include <bits/stdc++.h>
#define se second
#define fs first
#define mp make_pair
#define pb push_back
#define ll long long
#define ii pair<ll,ll>
#define ld long double
#define SZ(v) (int)v.size()
#define ALL(v) v.begin(), v.end()
#define bit(msk, i) ((msk >> i) & 1)
#define iter(id, v) for(auto id : v)
#define rep(i,m,n) for(int i=(m); i<=(n); i++)
#define reb(i,m,n) for(int i=(m); i>=(n); i--)
using namespace std;
mt19937_64 rd(chrono :: steady_clock :: now().time_since_epoch().count());
ll Rand(ll l, ll r) { return uniform_int_distribution<ll> (l, r)(rd); }
const int N = 2e5 + 7;
const int Mod = 998244353;
const int szBL = 916;
const int INF = 1e9;
const int BASE = 137;
int n, m;
vector<int> ke[N];
int a[N];
pair<int,int> b[N];
bool Ans[N];
int larger[N];
struct Disjoin_set {
int lab[N], sz[N], tot[N];
vector<int> vec[N];
set<pair<int,int>> Sadj[N];///greater val
void init (int n) {
rep (i, 1, n) {
lab[i] = i, sz[i] = 1, tot[i] = a[i];
vec[i] = {i};
iter (&id, ke[i]) {
Sadj[i].insert(mp(a[id], id));
}
}
}
int Find (int u) {
return u == lab[u] ? u : Find(lab[u]);
}
void Join (int u, int v) {
u = Find(u);
v = Find(v);
if (u == v) return;
if (sz[u] < sz[v]) swap(u, v);
lab[v] = u;
sz[u] += sz[v];
iter (&id, vec[v]) {
iter (&idto, ke[id]) {
Sadj[u].insert(mp(a[idto], idto));
}
vec[u].push_back(id);
}
tot[u] += tot[v];
tot[u] = min(tot[u], INF);
vector<int> ().swap(vec[v]);
}
int Find_Larger (int u) {
int idx = u;
u = Find(u);
auto it = Sadj[u].lower_bound(mp(a[idx] + 1, -INF));
if (it == Sadj[u].end()) return 0;
else return it->se;
}
}DSU;
void solution () {
cin >> n >> m;
rep (i, 1, n) {
cin >> a[i];
b[i].fs = a[i];
b[i].se = i;
}
rep (i, 1, m) {
int u, v;
cin >> u >> v;
ke[u].push_back(v);
ke[v].push_back(u);
}
DSU.init(n);
sort (b + 1, b + 1 + n);
rep (i, 1, n) {
static vector<int> vec; vec.clear();
while (b[i].fs == b[i + 1].fs) vec.push_back(b[i++].se);
vec.push_back(b[i].se);
iter (&idx, vec) {
iter (&to, ke[idx]) {
if (a[idx] >= a[to]) DSU.Join (idx, to);
}
}
iter (&idx, vec) {
larger[idx] = DSU.Find_Larger(idx);
if (DSU.tot[DSU.Find(idx)] < a[larger[idx]]) larger[idx] = -1;
}
}
Ans[0] = 1;
reb (i, n, 1) {
if (Ans[i] == -1) Ans[i] = 0;
else Ans[i] = Ans[larger[i]];
}
rep (i ,1, n) cout << Ans[i];
}
#define file(name) freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout);
int main () {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// file ("c");
int num_Test = 1;
// cin >> num_Test;
while (num_Test--)
solution();
}
/*
5 10
1 2
3 1
4 2
5 3
1 4
2 3
3 5
4 5
3 4
1 4
*/
Compilation message
island.cpp: In function 'void solution()':
island.cpp:113:20: warning: comparison of constant '-1' with boolean expression is always false [-Wbool-compare]
113 | if (Ans[i] == -1) Ans[i] = 0;
| ~~~~~~~^~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
24664 KB |
Output is correct |
2 |
Incorrect |
3 ms |
24668 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
24668 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
24668 KB |
Output is correct |
2 |
Incorrect |
668 ms |
116160 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
24664 KB |
Output is correct |
2 |
Incorrect |
488 ms |
88696 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
24664 KB |
Output is correct |
2 |
Incorrect |
3 ms |
24668 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |