#include <bits/stdc++.h>
#define fr(i, a, b) for (int i = (a); i <= (b); ++i)
#define rf(i, a, b) for (int i = (a); i >= (b); --i)
#define fe(x, y) for (auto& x : y)
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define mt make_tuple
#define all(x) (x).begin(), (x).end()
#define pw(x) (1LL << (x))
#define sz(x) (int)(x).size()
using namespace std;
mt19937_64 rng(228);
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template <typename T>
using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define fbo find_by_order
#define ook order_of_key
template <typename T>
bool umn(T& a, T b) { return a > b ? a = b, 1 : 0; }
template <typename T>
bool umx(T& a, T b) { return a < b ? a = b, 1 : 0; }
using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
template <typename T>
using ve = vector<T>;
const int N = 4e5 + 5;
int n, m;
int a[N];
ve<int> g[N];
ve<pii> u;
ve<int> v[N];
int link[N];
ll sum[N];
int root(int x) {
if (link[x] == x) return x;
else return root(link[x]);
}
ve<int> G[N];
int nVer;
int who[N];
bool badCmp[N];
void uni(int a, int b) {
a = root(a);
b = root(b);
if (a == b) {
return;
}
if (sz(v[a]) > sz(v[b])) swap(a, b);
sum[b] += sum[a];
link[a] = b;
fe (x, v[a]) v[b].pb(x);
++nVer;
// cout << "add " << nVer << " " << who[a] << "\n";
// cout << "add " << nVer << " " << who[b] << "\n";
G[nVer].pb(who[a]);
G[nVer].pb(who[b]);
who[b] = nVer;
}
bool bad[N];
bool brute(int v) {
ll sum = 0;
set<pii> q;
ve<bool> vis(n + 1);
sum = a[v];
vis[v] = 1;
// cout << "GO " << v << " " << sum << "\n";
fe (to, g[v]) {
q.insert({a[to], to});
vis[to] = 1;
}
while (sz(q)) {
// cout << "FROM " << v << "\n";
int v = q.begin()->se;
q.erase(q.begin());
// cout << "GO " << v << " " << a[v] << "\n";
if (a[v] > sum) {
return 0;
}
sum += a[v];
fe (to, g[v]) {
if (!vis[to]) {
vis[to] = 1;
q.insert({a[to], to});
}
}
}
return 1;
}
int rnd(int l, int r) {
return rng() % (r - l + 1) + l;
}
void dfs(int v = nVer, bool bad = 0) {
bad |= badCmp[v];
if (v <= n) {
::bad[v] = bad;
}
fe (to, G[v]) {
dfs(to, bad);
}
}
int main() {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#else
ios::sync_with_stdio(0);
cin.tie(0);
#endif
cin >> n >> m;
nVer = n;
fr (i, 1, n) {
cin >> a[i];
// a[i] = rnd(1, 20);
// cout << a[i] << " ";
u.pb({a[i], i});
}
// cout << "\n";
// assert(m == n - 1);
fr (i, 1, m) {
int a, b;
cin >> a >> b;
// a = i;
// b = i + 1;
g[a].pb(b);
g[b].pb(a);
}
sort(all(u));
// fe (x, a) {
// cout << x.fi << " " << x.se << "\n";
// }
fr (i, 1, n) {
link[i] = i;
who[i] = i;
sum[i] = a[i];
v[i] = {i};
}
fr (i, 0, sz(u) - 1) {
int ptr = i;
ve<int> ver;
while (ptr < sz(u) && u[ptr].fi == u[i].fi) {
ver.pb(u[ptr].se);
fe (to, g[u[ptr].se]) {
if (a[to] <= u[i].fi) {
uni(u[ptr].se, to);
}
}
ptr++;
}
// cout << "added <= " << u[ptr - 1].fi << "\n";
// cout << "other >= " << u[ptr].fi << "\n\n";
if (ptr < sz(u)) {
int ptr2 = ptr;
while (ptr2 < sz(u) && u[ptr2].fi == u[ptr].fi) {
fe (to, g[u[ptr2].se]) {
if (a[to] < u[ptr].fi) {
int v = root(to);
// cout << "MARK " << who[v] << "\n";
// fe (cur, ::v[v]) cout << cur << " ";
// cout << "\n";
if (sum[v] < u[ptr].fi) {
badCmp[who[v]] = 1;
fe (cur, ::v[v]) {
bad[cur] = 1;
}
}
}
}
ptr2++;
}
}
i = ptr - 1;
}
// dfs();
fr (i, 1, n) {
cout << !bad[i];
}
cout << "\n";
// fr (i, 1, n) {
// cout << brute(i);
// }
// cout << "\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
15 ms |
28628 KB |
Output is correct |
2 |
Correct |
15 ms |
28524 KB |
Output is correct |
3 |
Correct |
16 ms |
28528 KB |
Output is correct |
4 |
Correct |
17 ms |
28748 KB |
Output is correct |
5 |
Correct |
15 ms |
28840 KB |
Output is correct |
6 |
Correct |
17 ms |
28704 KB |
Output is correct |
7 |
Correct |
17 ms |
28768 KB |
Output is correct |
8 |
Correct |
16 ms |
28680 KB |
Output is correct |
9 |
Correct |
18 ms |
28740 KB |
Output is correct |
10 |
Correct |
18 ms |
28756 KB |
Output is correct |
11 |
Correct |
17 ms |
28748 KB |
Output is correct |
12 |
Correct |
19 ms |
28788 KB |
Output is correct |
13 |
Correct |
17 ms |
28756 KB |
Output is correct |
14 |
Correct |
17 ms |
28788 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
15 ms |
28516 KB |
Output is correct |
2 |
Correct |
15 ms |
28536 KB |
Output is correct |
3 |
Correct |
186 ms |
54844 KB |
Output is correct |
4 |
Correct |
163 ms |
54600 KB |
Output is correct |
5 |
Correct |
231 ms |
59536 KB |
Output is correct |
6 |
Correct |
239 ms |
60696 KB |
Output is correct |
7 |
Correct |
247 ms |
60528 KB |
Output is correct |
8 |
Correct |
201 ms |
56188 KB |
Output is correct |
9 |
Correct |
207 ms |
64148 KB |
Output is correct |
10 |
Correct |
227 ms |
56452 KB |
Output is correct |
11 |
Correct |
199 ms |
57724 KB |
Output is correct |
12 |
Correct |
221 ms |
57156 KB |
Output is correct |
13 |
Correct |
171 ms |
56272 KB |
Output is correct |
14 |
Correct |
168 ms |
55720 KB |
Output is correct |
15 |
Correct |
187 ms |
55344 KB |
Output is correct |
16 |
Correct |
122 ms |
55124 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
15 ms |
28456 KB |
Output is correct |
2 |
Correct |
285 ms |
61120 KB |
Output is correct |
3 |
Correct |
290 ms |
62400 KB |
Output is correct |
4 |
Correct |
192 ms |
56160 KB |
Output is correct |
5 |
Correct |
172 ms |
56524 KB |
Output is correct |
6 |
Correct |
301 ms |
62260 KB |
Output is correct |
7 |
Correct |
190 ms |
55368 KB |
Output is correct |
8 |
Correct |
195 ms |
55288 KB |
Output is correct |
9 |
Correct |
127 ms |
55112 KB |
Output is correct |
10 |
Correct |
190 ms |
56292 KB |
Output is correct |
11 |
Correct |
206 ms |
56816 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
15 ms |
28500 KB |
Output is correct |
2 |
Correct |
288 ms |
56476 KB |
Output is correct |
3 |
Correct |
301 ms |
58620 KB |
Output is correct |
4 |
Correct |
318 ms |
59992 KB |
Output is correct |
5 |
Correct |
264 ms |
59208 KB |
Output is correct |
6 |
Correct |
221 ms |
56676 KB |
Output is correct |
7 |
Correct |
175 ms |
57540 KB |
Output is correct |
8 |
Execution timed out |
1036 ms |
52068 KB |
Time limit exceeded |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
15 ms |
28628 KB |
Output is correct |
2 |
Correct |
15 ms |
28524 KB |
Output is correct |
3 |
Correct |
16 ms |
28528 KB |
Output is correct |
4 |
Correct |
17 ms |
28748 KB |
Output is correct |
5 |
Correct |
15 ms |
28840 KB |
Output is correct |
6 |
Correct |
17 ms |
28704 KB |
Output is correct |
7 |
Correct |
17 ms |
28768 KB |
Output is correct |
8 |
Correct |
16 ms |
28680 KB |
Output is correct |
9 |
Correct |
18 ms |
28740 KB |
Output is correct |
10 |
Correct |
18 ms |
28756 KB |
Output is correct |
11 |
Correct |
17 ms |
28748 KB |
Output is correct |
12 |
Correct |
19 ms |
28788 KB |
Output is correct |
13 |
Correct |
17 ms |
28756 KB |
Output is correct |
14 |
Correct |
17 ms |
28788 KB |
Output is correct |
15 |
Correct |
15 ms |
28516 KB |
Output is correct |
16 |
Correct |
15 ms |
28536 KB |
Output is correct |
17 |
Correct |
186 ms |
54844 KB |
Output is correct |
18 |
Correct |
163 ms |
54600 KB |
Output is correct |
19 |
Correct |
231 ms |
59536 KB |
Output is correct |
20 |
Correct |
239 ms |
60696 KB |
Output is correct |
21 |
Correct |
247 ms |
60528 KB |
Output is correct |
22 |
Correct |
201 ms |
56188 KB |
Output is correct |
23 |
Correct |
207 ms |
64148 KB |
Output is correct |
24 |
Correct |
227 ms |
56452 KB |
Output is correct |
25 |
Correct |
199 ms |
57724 KB |
Output is correct |
26 |
Correct |
221 ms |
57156 KB |
Output is correct |
27 |
Correct |
171 ms |
56272 KB |
Output is correct |
28 |
Correct |
168 ms |
55720 KB |
Output is correct |
29 |
Correct |
187 ms |
55344 KB |
Output is correct |
30 |
Correct |
122 ms |
55124 KB |
Output is correct |
31 |
Correct |
15 ms |
28456 KB |
Output is correct |
32 |
Correct |
285 ms |
61120 KB |
Output is correct |
33 |
Correct |
290 ms |
62400 KB |
Output is correct |
34 |
Correct |
192 ms |
56160 KB |
Output is correct |
35 |
Correct |
172 ms |
56524 KB |
Output is correct |
36 |
Correct |
301 ms |
62260 KB |
Output is correct |
37 |
Correct |
190 ms |
55368 KB |
Output is correct |
38 |
Correct |
195 ms |
55288 KB |
Output is correct |
39 |
Correct |
127 ms |
55112 KB |
Output is correct |
40 |
Correct |
190 ms |
56292 KB |
Output is correct |
41 |
Correct |
206 ms |
56816 KB |
Output is correct |
42 |
Correct |
15 ms |
28500 KB |
Output is correct |
43 |
Correct |
288 ms |
56476 KB |
Output is correct |
44 |
Correct |
301 ms |
58620 KB |
Output is correct |
45 |
Correct |
318 ms |
59992 KB |
Output is correct |
46 |
Correct |
264 ms |
59208 KB |
Output is correct |
47 |
Correct |
221 ms |
56676 KB |
Output is correct |
48 |
Correct |
175 ms |
57540 KB |
Output is correct |
49 |
Execution timed out |
1036 ms |
52068 KB |
Time limit exceeded |
50 |
Halted |
0 ms |
0 KB |
- |