#include <bits/stdc++.h>
#include<unordered_map>
#include<unordered_set>
#include<algorithm>
using namespace std;
#define mp make_pair
#define pb push_back
#define pii pair<int,int>
#define fi first
#define se second
#define int long long
const int maxn = 2e5 + 500;
vector<vector<int>> adj(maxn),mrk(maxn);
vector<int> par, sz, s(maxn), inserted(maxn), power(maxn),vis(maxn), win(maxn,1), rep(maxn);
void init(int n) {
par.resize(n); sz.resize(n);
for (int i = 0; i < n; i++) {
par[i] = i;
sz[i] = 1;
}
}
int find(int x) {
if (par[x] == x) return x;
else return par[x] = find(par[x]);
}
void unite(int x, int y) {
x = find(x);
y = find(y);
if (x == y) return;
if (sz[x] < sz[y]) swap(x, y);
par[y] = x;
sz[x] += sz[y];
power[x] += power[y];
}
bool same(int x, int y) {
x = find(x);
y = find(y);
if (x == y) return true;
else return false;
}
//remember to init(n+5) and total_groups=n
void dfs(int u,int flag) {
win[u] &= flag;
for (auto& v : mrk[u]) dfs(v, win[u]);
}
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int n, m; cin >> n >> m;
for (int i = 0; i < n; i++) {
cin >> s[i]; power[i] = s[i];
}
for (int i = 0; i < m; i++) {
int u, v; cin >> u >> v;
u--; v--;
adj[u].pb(v); adj[v].pb(u);
}
init(n + 5);
vector<pii> ord;
for (int i = 0; i < n; i++) ord.push_back(mp(s[i], i));
sort(ord.begin(), ord.end());
//note that rep[find(v)] is important:
//due to path compression: leader is the one with largest size not max
//need to reset leader to u
for (auto &t : ord) {
int u = t.second;
for (int v : adj[u]) if (inserted[v]) {
int w = rep[find(v)];
if (power[find(v)] < s[u]) {
win[w] = 0;
}
if (!vis[w]) {
mrk[u].push_back(w);
vis[w] = 1;
}
}
for (int v : adj[u]) if (inserted[v]) vis[rep[find(v)]] = 0;
for (int v : adj[u]) if (inserted[v]) unite(u, v);
rep[find(u)] = u;
inserted[u] = 1;
}
dfs(ord[n-1].second,1);
for (int i = 0; i < n; i++) cout << win[i];
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
19156 KB |
Output is correct |
2 |
Correct |
10 ms |
19156 KB |
Output is correct |
3 |
Correct |
10 ms |
19160 KB |
Output is correct |
4 |
Correct |
11 ms |
19268 KB |
Output is correct |
5 |
Correct |
13 ms |
19284 KB |
Output is correct |
6 |
Correct |
13 ms |
19284 KB |
Output is correct |
7 |
Correct |
12 ms |
19284 KB |
Output is correct |
8 |
Correct |
11 ms |
19284 KB |
Output is correct |
9 |
Correct |
11 ms |
19412 KB |
Output is correct |
10 |
Correct |
12 ms |
19284 KB |
Output is correct |
11 |
Correct |
11 ms |
19328 KB |
Output is correct |
12 |
Correct |
10 ms |
19284 KB |
Output is correct |
13 |
Correct |
10 ms |
19416 KB |
Output is correct |
14 |
Correct |
10 ms |
19288 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
12 ms |
19156 KB |
Output is correct |
2 |
Correct |
10 ms |
19156 KB |
Output is correct |
3 |
Correct |
181 ms |
39584 KB |
Output is correct |
4 |
Correct |
161 ms |
47688 KB |
Output is correct |
5 |
Correct |
224 ms |
40628 KB |
Output is correct |
6 |
Correct |
225 ms |
41400 KB |
Output is correct |
7 |
Correct |
227 ms |
41356 KB |
Output is correct |
8 |
Correct |
195 ms |
49744 KB |
Output is correct |
9 |
Correct |
169 ms |
40912 KB |
Output is correct |
10 |
Correct |
151 ms |
40652 KB |
Output is correct |
11 |
Correct |
150 ms |
49392 KB |
Output is correct |
12 |
Correct |
225 ms |
42172 KB |
Output is correct |
13 |
Correct |
167 ms |
47316 KB |
Output is correct |
14 |
Correct |
161 ms |
46760 KB |
Output is correct |
15 |
Correct |
163 ms |
48828 KB |
Output is correct |
16 |
Correct |
110 ms |
47812 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
19156 KB |
Output is correct |
2 |
Correct |
246 ms |
35880 KB |
Output is correct |
3 |
Correct |
253 ms |
40660 KB |
Output is correct |
4 |
Correct |
179 ms |
48816 KB |
Output is correct |
5 |
Correct |
148 ms |
45324 KB |
Output is correct |
6 |
Correct |
251 ms |
40724 KB |
Output is correct |
7 |
Correct |
173 ms |
48840 KB |
Output is correct |
8 |
Correct |
173 ms |
48776 KB |
Output is correct |
9 |
Correct |
114 ms |
47836 KB |
Output is correct |
10 |
Correct |
155 ms |
41912 KB |
Output is correct |
11 |
Correct |
179 ms |
40196 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
19076 KB |
Output is correct |
2 |
Correct |
270 ms |
37464 KB |
Output is correct |
3 |
Correct |
279 ms |
41540 KB |
Output is correct |
4 |
Correct |
269 ms |
41524 KB |
Output is correct |
5 |
Correct |
252 ms |
41588 KB |
Output is correct |
6 |
Correct |
210 ms |
41392 KB |
Output is correct |
7 |
Correct |
143 ms |
45368 KB |
Output is correct |
8 |
Correct |
113 ms |
49220 KB |
Output is correct |
9 |
Correct |
137 ms |
33468 KB |
Output is correct |
10 |
Correct |
214 ms |
39944 KB |
Output is correct |
11 |
Correct |
168 ms |
40160 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
19156 KB |
Output is correct |
2 |
Correct |
10 ms |
19156 KB |
Output is correct |
3 |
Correct |
10 ms |
19160 KB |
Output is correct |
4 |
Correct |
11 ms |
19268 KB |
Output is correct |
5 |
Correct |
13 ms |
19284 KB |
Output is correct |
6 |
Correct |
13 ms |
19284 KB |
Output is correct |
7 |
Correct |
12 ms |
19284 KB |
Output is correct |
8 |
Correct |
11 ms |
19284 KB |
Output is correct |
9 |
Correct |
11 ms |
19412 KB |
Output is correct |
10 |
Correct |
12 ms |
19284 KB |
Output is correct |
11 |
Correct |
11 ms |
19328 KB |
Output is correct |
12 |
Correct |
10 ms |
19284 KB |
Output is correct |
13 |
Correct |
10 ms |
19416 KB |
Output is correct |
14 |
Correct |
10 ms |
19288 KB |
Output is correct |
15 |
Correct |
12 ms |
19156 KB |
Output is correct |
16 |
Correct |
10 ms |
19156 KB |
Output is correct |
17 |
Correct |
181 ms |
39584 KB |
Output is correct |
18 |
Correct |
161 ms |
47688 KB |
Output is correct |
19 |
Correct |
224 ms |
40628 KB |
Output is correct |
20 |
Correct |
225 ms |
41400 KB |
Output is correct |
21 |
Correct |
227 ms |
41356 KB |
Output is correct |
22 |
Correct |
195 ms |
49744 KB |
Output is correct |
23 |
Correct |
169 ms |
40912 KB |
Output is correct |
24 |
Correct |
151 ms |
40652 KB |
Output is correct |
25 |
Correct |
150 ms |
49392 KB |
Output is correct |
26 |
Correct |
225 ms |
42172 KB |
Output is correct |
27 |
Correct |
167 ms |
47316 KB |
Output is correct |
28 |
Correct |
161 ms |
46760 KB |
Output is correct |
29 |
Correct |
163 ms |
48828 KB |
Output is correct |
30 |
Correct |
110 ms |
47812 KB |
Output is correct |
31 |
Correct |
9 ms |
19156 KB |
Output is correct |
32 |
Correct |
246 ms |
35880 KB |
Output is correct |
33 |
Correct |
253 ms |
40660 KB |
Output is correct |
34 |
Correct |
179 ms |
48816 KB |
Output is correct |
35 |
Correct |
148 ms |
45324 KB |
Output is correct |
36 |
Correct |
251 ms |
40724 KB |
Output is correct |
37 |
Correct |
173 ms |
48840 KB |
Output is correct |
38 |
Correct |
173 ms |
48776 KB |
Output is correct |
39 |
Correct |
114 ms |
47836 KB |
Output is correct |
40 |
Correct |
155 ms |
41912 KB |
Output is correct |
41 |
Correct |
179 ms |
40196 KB |
Output is correct |
42 |
Correct |
10 ms |
19076 KB |
Output is correct |
43 |
Correct |
270 ms |
37464 KB |
Output is correct |
44 |
Correct |
279 ms |
41540 KB |
Output is correct |
45 |
Correct |
269 ms |
41524 KB |
Output is correct |
46 |
Correct |
252 ms |
41588 KB |
Output is correct |
47 |
Correct |
210 ms |
41392 KB |
Output is correct |
48 |
Correct |
143 ms |
45368 KB |
Output is correct |
49 |
Correct |
113 ms |
49220 KB |
Output is correct |
50 |
Correct |
137 ms |
33468 KB |
Output is correct |
51 |
Correct |
214 ms |
39944 KB |
Output is correct |
52 |
Correct |
168 ms |
40160 KB |
Output is correct |
53 |
Correct |
10 ms |
19156 KB |
Output is correct |
54 |
Correct |
9 ms |
19156 KB |
Output is correct |
55 |
Correct |
8 ms |
19156 KB |
Output is correct |
56 |
Correct |
12 ms |
19284 KB |
Output is correct |
57 |
Correct |
11 ms |
19316 KB |
Output is correct |
58 |
Correct |
10 ms |
19332 KB |
Output is correct |
59 |
Correct |
11 ms |
19288 KB |
Output is correct |
60 |
Correct |
10 ms |
19316 KB |
Output is correct |
61 |
Correct |
11 ms |
19348 KB |
Output is correct |
62 |
Correct |
10 ms |
19284 KB |
Output is correct |
63 |
Correct |
12 ms |
19316 KB |
Output is correct |
64 |
Correct |
11 ms |
19284 KB |
Output is correct |
65 |
Correct |
12 ms |
19440 KB |
Output is correct |
66 |
Correct |
11 ms |
19320 KB |
Output is correct |
67 |
Correct |
166 ms |
44196 KB |
Output is correct |
68 |
Correct |
158 ms |
47672 KB |
Output is correct |
69 |
Correct |
200 ms |
40620 KB |
Output is correct |
70 |
Correct |
234 ms |
41420 KB |
Output is correct |
71 |
Correct |
223 ms |
41396 KB |
Output is correct |
72 |
Correct |
190 ms |
49736 KB |
Output is correct |
73 |
Correct |
170 ms |
40880 KB |
Output is correct |
74 |
Correct |
147 ms |
40616 KB |
Output is correct |
75 |
Correct |
142 ms |
49396 KB |
Output is correct |
76 |
Correct |
221 ms |
42260 KB |
Output is correct |
77 |
Correct |
146 ms |
47388 KB |
Output is correct |
78 |
Correct |
155 ms |
46772 KB |
Output is correct |
79 |
Correct |
156 ms |
48780 KB |
Output is correct |
80 |
Correct |
108 ms |
47904 KB |
Output is correct |
81 |
Correct |
251 ms |
40372 KB |
Output is correct |
82 |
Correct |
243 ms |
40488 KB |
Output is correct |
83 |
Correct |
201 ms |
48812 KB |
Output is correct |
84 |
Correct |
167 ms |
45248 KB |
Output is correct |
85 |
Correct |
242 ms |
40480 KB |
Output is correct |
86 |
Correct |
170 ms |
48820 KB |
Output is correct |
87 |
Correct |
171 ms |
48820 KB |
Output is correct |
88 |
Correct |
159 ms |
41876 KB |
Output is correct |
89 |
Correct |
169 ms |
40244 KB |
Output is correct |
90 |
Correct |
269 ms |
41692 KB |
Output is correct |
91 |
Correct |
260 ms |
41372 KB |
Output is correct |
92 |
Correct |
283 ms |
41608 KB |
Output is correct |
93 |
Correct |
242 ms |
41564 KB |
Output is correct |
94 |
Correct |
210 ms |
41476 KB |
Output is correct |
95 |
Correct |
148 ms |
45460 KB |
Output is correct |
96 |
Correct |
111 ms |
49216 KB |
Output is correct |
97 |
Correct |
135 ms |
33340 KB |
Output is correct |
98 |
Correct |
225 ms |
39948 KB |
Output is correct |
99 |
Correct |
171 ms |
40176 KB |
Output is correct |
100 |
Correct |
55 ms |
25756 KB |
Output is correct |
101 |
Correct |
289 ms |
41548 KB |
Output is correct |
102 |
Correct |
191 ms |
39780 KB |
Output is correct |
103 |
Correct |
252 ms |
40504 KB |
Output is correct |
104 |
Correct |
288 ms |
41776 KB |
Output is correct |