//Challenge: Accepted
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
using namespace std;
#ifdef zisk
void debug(){cout << endl;}
template<class T, class ... U> void debug(T a, U ... b){cout << a << " ", debug(b...); }
template<class T> void pary(T l, T r) {
while (l != r) cout << *l << " ", l++;
cout << endl;
}
#else
#define debug(...) 0
#define pary(...) 0
#endif
#define ll long long
#define maxn 200005
#define maxc 31
#define pii pair<int, int>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);cin.tie(0);
const ll inf = 1LL<<30;
vector<int> adj[maxn];
ll sum[maxc][maxn];
int mi[maxc][maxn], comp[maxc][maxn], smi[maxc][maxn];
int idx[maxc][maxn];
int w[maxn];
int lev[maxn];
bool vis[maxn], tv[maxn];
void dfs(int n, int id, int l) {
vis[n] = 1;
sum[l][id] += w[n];
comp[l][n] = id;
for (int v:adj[n]) {
if (!vis[v] && lev[v] < l) dfs(v, id, l);
}
}
int main() {
io
int n, m;
cin >> n >> m;
ll tot = 0;
for (int i = 1;i <= n;i++) cin >> w[i], tot += w[i];
for (int i = 0;i < m;i++) {
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
for (int i = 1;i <= n;i++) {
ll tmp = w[i];
while (tmp >= 2) {
lev[i]++;
tmp >>= 1;
}
}
for (int j = 0;j <= n;j++) mi[0][j] = smi[0][j] = inf;
for (int i = 1;i < maxc;i++) {
for (int j = 1;j <= n;j++) vis[j] = 0, mi[i][j] = smi[i][j] = inf;
mi[i][0] = smi[i][0] = inf;
int cnt = 1;
for (int j = 1;j <= n;j++) {
if (!vis[j] && lev[j] < i) {
dfs(j, cnt, i);
//debug(i, j, cnt, sum[i][c]);
cnt++;
}
}
for (int j = 1;j <= n;j++) {
if (lev[j] >= i) {
for (int k:adj[j]) {
if (lev[k] < i) {
int c = comp[i][k];
if (w[j] < mi[i][c]) {
smi[i][c] = mi[i][c];
mi[i][c] = w[j];
idx[i][c] = j;
} else {
smi[i][c] = min(smi[i][c], (int)w[j]);
}
}
}
}
}
}
string ans;
for (int i = 1;i <= n;i++) {
int cur = lev[i];
bool poss = 0, fi = 1;
while (cur < maxc) {
ll p = 0;
int val = inf;
if (fi) {
fi = 0;
p = w[i];
vector<int> v;
for (int j:adj[i]) {
if (lev[j] < cur && !tv[comp[cur][j]]) {
int c = comp[cur][j];
tv[c] = 1;
p += sum[cur][c];
v.push_back(c);
if (idx[cur][c] == i) val = min(val, smi[cur][c]);
else val = min(val, mi[cur][c]);
} else if (lev[j] >= cur) {
val = min(val, (int)w[j]);
}
}
for (int j:v) tv[j] = 0;
} else {
val = min(val, mi[cur][comp[cur][i]]);
}
if (comp[cur][i]) p += sum[cur][comp[cur][i]];
//debug(cur, p, val);
if (p == tot) {
poss = 1;
break;
} else if (p < val) {
break;
} else {
cur++;
}
}
//debug();
if (poss) ans += '1';
else ans += '0';
}
cout << ans << "\n";
}
/*
5 4
7 10 1 5 9
1 2
3 5
3 4
4 1
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5716 KB |
Output is correct |
2 |
Correct |
3 ms |
5716 KB |
Output is correct |
3 |
Correct |
3 ms |
5716 KB |
Output is correct |
4 |
Correct |
4 ms |
6100 KB |
Output is correct |
5 |
Correct |
4 ms |
6228 KB |
Output is correct |
6 |
Correct |
4 ms |
5716 KB |
Output is correct |
7 |
Correct |
5 ms |
6100 KB |
Output is correct |
8 |
Correct |
4 ms |
5972 KB |
Output is correct |
9 |
Correct |
5 ms |
6612 KB |
Output is correct |
10 |
Correct |
5 ms |
6228 KB |
Output is correct |
11 |
Correct |
4 ms |
6356 KB |
Output is correct |
12 |
Correct |
4 ms |
6100 KB |
Output is correct |
13 |
Correct |
5 ms |
6740 KB |
Output is correct |
14 |
Correct |
5 ms |
6740 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5716 KB |
Output is correct |
2 |
Correct |
5 ms |
5812 KB |
Output is correct |
3 |
Correct |
245 ms |
66468 KB |
Output is correct |
4 |
Correct |
529 ms |
85376 KB |
Output is correct |
5 |
Correct |
290 ms |
64632 KB |
Output is correct |
6 |
Correct |
292 ms |
66508 KB |
Output is correct |
7 |
Correct |
320 ms |
66488 KB |
Output is correct |
8 |
Correct |
301 ms |
63712 KB |
Output is correct |
9 |
Correct |
285 ms |
66708 KB |
Output is correct |
10 |
Correct |
190 ms |
68328 KB |
Output is correct |
11 |
Correct |
203 ms |
66864 KB |
Output is correct |
12 |
Correct |
914 ms |
89364 KB |
Output is correct |
13 |
Correct |
533 ms |
90732 KB |
Output is correct |
14 |
Correct |
542 ms |
88700 KB |
Output is correct |
15 |
Correct |
241 ms |
69752 KB |
Output is correct |
16 |
Correct |
168 ms |
78832 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5716 KB |
Output is correct |
2 |
Correct |
280 ms |
79032 KB |
Output is correct |
3 |
Correct |
259 ms |
79580 KB |
Output is correct |
4 |
Correct |
247 ms |
68508 KB |
Output is correct |
5 |
Correct |
636 ms |
90852 KB |
Output is correct |
6 |
Correct |
325 ms |
79192 KB |
Output is correct |
7 |
Correct |
219 ms |
68540 KB |
Output is correct |
8 |
Correct |
230 ms |
68540 KB |
Output is correct |
9 |
Correct |
163 ms |
78812 KB |
Output is correct |
10 |
Correct |
422 ms |
81756 KB |
Output is correct |
11 |
Correct |
649 ms |
94356 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5716 KB |
Output is correct |
2 |
Correct |
402 ms |
69252 KB |
Output is correct |
3 |
Correct |
343 ms |
72796 KB |
Output is correct |
4 |
Correct |
369 ms |
66220 KB |
Output is correct |
5 |
Correct |
287 ms |
63800 KB |
Output is correct |
6 |
Correct |
263 ms |
61136 KB |
Output is correct |
7 |
Correct |
186 ms |
63756 KB |
Output is correct |
8 |
Correct |
181 ms |
82312 KB |
Output is correct |
9 |
Correct |
357 ms |
47428 KB |
Output is correct |
10 |
Correct |
983 ms |
85216 KB |
Output is correct |
11 |
Correct |
527 ms |
94448 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5716 KB |
Output is correct |
2 |
Correct |
3 ms |
5716 KB |
Output is correct |
3 |
Correct |
3 ms |
5716 KB |
Output is correct |
4 |
Correct |
4 ms |
6100 KB |
Output is correct |
5 |
Correct |
4 ms |
6228 KB |
Output is correct |
6 |
Correct |
4 ms |
5716 KB |
Output is correct |
7 |
Correct |
5 ms |
6100 KB |
Output is correct |
8 |
Correct |
4 ms |
5972 KB |
Output is correct |
9 |
Correct |
5 ms |
6612 KB |
Output is correct |
10 |
Correct |
5 ms |
6228 KB |
Output is correct |
11 |
Correct |
4 ms |
6356 KB |
Output is correct |
12 |
Correct |
4 ms |
6100 KB |
Output is correct |
13 |
Correct |
5 ms |
6740 KB |
Output is correct |
14 |
Correct |
5 ms |
6740 KB |
Output is correct |
15 |
Correct |
3 ms |
5716 KB |
Output is correct |
16 |
Correct |
5 ms |
5812 KB |
Output is correct |
17 |
Correct |
245 ms |
66468 KB |
Output is correct |
18 |
Correct |
529 ms |
85376 KB |
Output is correct |
19 |
Correct |
290 ms |
64632 KB |
Output is correct |
20 |
Correct |
292 ms |
66508 KB |
Output is correct |
21 |
Correct |
320 ms |
66488 KB |
Output is correct |
22 |
Correct |
301 ms |
63712 KB |
Output is correct |
23 |
Correct |
285 ms |
66708 KB |
Output is correct |
24 |
Correct |
190 ms |
68328 KB |
Output is correct |
25 |
Correct |
203 ms |
66864 KB |
Output is correct |
26 |
Correct |
914 ms |
89364 KB |
Output is correct |
27 |
Correct |
533 ms |
90732 KB |
Output is correct |
28 |
Correct |
542 ms |
88700 KB |
Output is correct |
29 |
Correct |
241 ms |
69752 KB |
Output is correct |
30 |
Correct |
168 ms |
78832 KB |
Output is correct |
31 |
Correct |
3 ms |
5716 KB |
Output is correct |
32 |
Correct |
280 ms |
79032 KB |
Output is correct |
33 |
Correct |
259 ms |
79580 KB |
Output is correct |
34 |
Correct |
247 ms |
68508 KB |
Output is correct |
35 |
Correct |
636 ms |
90852 KB |
Output is correct |
36 |
Correct |
325 ms |
79192 KB |
Output is correct |
37 |
Correct |
219 ms |
68540 KB |
Output is correct |
38 |
Correct |
230 ms |
68540 KB |
Output is correct |
39 |
Correct |
163 ms |
78812 KB |
Output is correct |
40 |
Correct |
422 ms |
81756 KB |
Output is correct |
41 |
Correct |
649 ms |
94356 KB |
Output is correct |
42 |
Correct |
3 ms |
5716 KB |
Output is correct |
43 |
Correct |
402 ms |
69252 KB |
Output is correct |
44 |
Correct |
343 ms |
72796 KB |
Output is correct |
45 |
Correct |
369 ms |
66220 KB |
Output is correct |
46 |
Correct |
287 ms |
63800 KB |
Output is correct |
47 |
Correct |
263 ms |
61136 KB |
Output is correct |
48 |
Correct |
186 ms |
63756 KB |
Output is correct |
49 |
Correct |
181 ms |
82312 KB |
Output is correct |
50 |
Correct |
357 ms |
47428 KB |
Output is correct |
51 |
Correct |
983 ms |
85216 KB |
Output is correct |
52 |
Correct |
527 ms |
94448 KB |
Output is correct |
53 |
Correct |
3 ms |
5716 KB |
Output is correct |
54 |
Correct |
3 ms |
5716 KB |
Output is correct |
55 |
Correct |
3 ms |
5716 KB |
Output is correct |
56 |
Correct |
5 ms |
6100 KB |
Output is correct |
57 |
Correct |
5 ms |
6228 KB |
Output is correct |
58 |
Correct |
4 ms |
5716 KB |
Output is correct |
59 |
Correct |
4 ms |
6100 KB |
Output is correct |
60 |
Correct |
5 ms |
5972 KB |
Output is correct |
61 |
Correct |
4 ms |
6612 KB |
Output is correct |
62 |
Correct |
4 ms |
6228 KB |
Output is correct |
63 |
Correct |
4 ms |
6356 KB |
Output is correct |
64 |
Correct |
4 ms |
6112 KB |
Output is correct |
65 |
Correct |
5 ms |
6740 KB |
Output is correct |
66 |
Correct |
5 ms |
6740 KB |
Output is correct |
67 |
Correct |
273 ms |
66384 KB |
Output is correct |
68 |
Correct |
486 ms |
85420 KB |
Output is correct |
69 |
Correct |
309 ms |
64692 KB |
Output is correct |
70 |
Correct |
289 ms |
66356 KB |
Output is correct |
71 |
Correct |
281 ms |
66484 KB |
Output is correct |
72 |
Correct |
294 ms |
63664 KB |
Output is correct |
73 |
Correct |
242 ms |
66680 KB |
Output is correct |
74 |
Correct |
210 ms |
68440 KB |
Output is correct |
75 |
Correct |
193 ms |
66852 KB |
Output is correct |
76 |
Correct |
862 ms |
89452 KB |
Output is correct |
77 |
Correct |
566 ms |
90812 KB |
Output is correct |
78 |
Correct |
525 ms |
88724 KB |
Output is correct |
79 |
Correct |
263 ms |
69828 KB |
Output is correct |
80 |
Correct |
170 ms |
78876 KB |
Output is correct |
81 |
Correct |
269 ms |
79068 KB |
Output is correct |
82 |
Correct |
259 ms |
79428 KB |
Output is correct |
83 |
Correct |
251 ms |
68516 KB |
Output is correct |
84 |
Correct |
541 ms |
90724 KB |
Output is correct |
85 |
Correct |
294 ms |
79128 KB |
Output is correct |
86 |
Correct |
230 ms |
68444 KB |
Output is correct |
87 |
Correct |
245 ms |
68444 KB |
Output is correct |
88 |
Correct |
413 ms |
81716 KB |
Output is correct |
89 |
Correct |
551 ms |
94544 KB |
Output is correct |
90 |
Correct |
394 ms |
69300 KB |
Output is correct |
91 |
Correct |
370 ms |
72756 KB |
Output is correct |
92 |
Correct |
323 ms |
66272 KB |
Output is correct |
93 |
Correct |
352 ms |
63736 KB |
Output is correct |
94 |
Correct |
286 ms |
61220 KB |
Output is correct |
95 |
Correct |
191 ms |
63816 KB |
Output is correct |
96 |
Correct |
198 ms |
82172 KB |
Output is correct |
97 |
Correct |
402 ms |
47404 KB |
Output is correct |
98 |
Correct |
953 ms |
85340 KB |
Output is correct |
99 |
Correct |
592 ms |
94796 KB |
Output is correct |
100 |
Correct |
58 ms |
9108 KB |
Output is correct |
101 |
Correct |
383 ms |
73140 KB |
Output is correct |
102 |
Correct |
236 ms |
52932 KB |
Output is correct |
103 |
Correct |
287 ms |
63760 KB |
Output is correct |
104 |
Correct |
428 ms |
73172 KB |
Output is correct |