#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int maxn = 2e5 + 1;
ll S[maxn];
vector <int> adj[maxn];
vector <int> mark[maxn];
bool ans[maxn];
bool inserted[maxn], vis[maxn], in_marked[maxn];
int id[maxn];
struct DSU {
vector <int> link, sz, lst_added;
vector <ll> sum;
DSU (int s) {
lst_added = link = sz = vector <int> (s+1);
sum = vector <ll> (s+1);
for (int i = 1; i <= s; i++) {
lst_added[i] = link[i] = i;
sz[i] = 1;
sum[i] = S[i];
}
}
int head(int x) {
if (x == link[x])
return x;
return link[x] = head(link[x]);
}
bool same(int a, int b) {
return head(a) == head(b);
}
void unite(int a, int b) {
a = head(a);
b = head(b);
if (a == b)
return;
if (sz[a] > sz[b])
swap(a, b);
sz[a] += sz[b];
sum[a] += sum[b];
link[b] = a;
if (id[lst_added[a]] > id[lst_added[b]])
lst_added[a] = lst_added[a];
else
lst_added[a] = lst_added[b];
}
};
void dfs(int s, bool x) {
ans[s] &= x;
for (auto i : mark[s])
dfs(i, ans[s]);
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
int n, m;
cin >> n >> m;
fill(ans, ans + n + 1, true);
for (int i = 1; i <= n; i++)
cin >> S[i];
for (int i = 0; i < m; i++) {
int a, b;
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
DSU dsu(n+1);
vector <pair <int, int>> nodes;
for (int i = 1; i <= n; i++) {
nodes.push_back({S[i], i});
}
sort(nodes.begin(), nodes.end());
for (int i = 0; i < n; i++)
id[nodes[i].second] = i;
for (int i = 0; i < n; i++) {
for (auto j : adj[nodes[i].second]) {
if (!vis[j])
continue;
int x = dsu.lst_added[dsu.head(j)];
if (dsu.sum[dsu.head(j)] < nodes[i].first)
ans[x] = false;
if (!in_marked[x] && nodes[i].second != x) {
in_marked[x] = true;
mark[nodes[i].second].push_back(x);
}
dsu.unite(nodes[i].second, j);
}
vis[nodes[i].second] = true;
}
dfs(nodes[n-1].second, true);
for (int i = 1; i <= n; i++)
cout << ans[i];
cout << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12636 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
2 ms |
12636 KB |
Output is correct |
4 |
Correct |
3 ms |
12780 KB |
Output is correct |
5 |
Correct |
3 ms |
12892 KB |
Output is correct |
6 |
Correct |
3 ms |
12792 KB |
Output is correct |
7 |
Correct |
3 ms |
12892 KB |
Output is correct |
8 |
Correct |
4 ms |
13144 KB |
Output is correct |
9 |
Correct |
3 ms |
12892 KB |
Output is correct |
10 |
Correct |
3 ms |
12892 KB |
Output is correct |
11 |
Correct |
3 ms |
12892 KB |
Output is correct |
12 |
Correct |
2 ms |
12940 KB |
Output is correct |
13 |
Correct |
3 ms |
12892 KB |
Output is correct |
14 |
Correct |
3 ms |
12892 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12632 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
93 ms |
31176 KB |
Output is correct |
4 |
Correct |
87 ms |
35776 KB |
Output is correct |
5 |
Correct |
104 ms |
28356 KB |
Output is correct |
6 |
Correct |
96 ms |
28756 KB |
Output is correct |
7 |
Correct |
99 ms |
28872 KB |
Output is correct |
8 |
Correct |
108 ms |
36404 KB |
Output is correct |
9 |
Correct |
81 ms |
32192 KB |
Output is correct |
10 |
Correct |
73 ms |
31036 KB |
Output is correct |
11 |
Correct |
98 ms |
40512 KB |
Output is correct |
12 |
Correct |
116 ms |
34024 KB |
Output is correct |
13 |
Correct |
86 ms |
39124 KB |
Output is correct |
14 |
Correct |
84 ms |
38960 KB |
Output is correct |
15 |
Correct |
81 ms |
40640 KB |
Output is correct |
16 |
Correct |
65 ms |
39880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12636 KB |
Output is correct |
2 |
Correct |
95 ms |
28808 KB |
Output is correct |
3 |
Correct |
105 ms |
29120 KB |
Output is correct |
4 |
Correct |
90 ms |
36288 KB |
Output is correct |
5 |
Correct |
85 ms |
34500 KB |
Output is correct |
6 |
Correct |
93 ms |
28864 KB |
Output is correct |
7 |
Correct |
86 ms |
36220 KB |
Output is correct |
8 |
Correct |
85 ms |
36288 KB |
Output is correct |
9 |
Correct |
59 ms |
36032 KB |
Output is correct |
10 |
Correct |
68 ms |
30660 KB |
Output is correct |
11 |
Correct |
78 ms |
29888 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12636 KB |
Output is correct |
2 |
Correct |
108 ms |
29156 KB |
Output is correct |
3 |
Correct |
123 ms |
33220 KB |
Output is correct |
4 |
Correct |
116 ms |
33256 KB |
Output is correct |
5 |
Correct |
115 ms |
33216 KB |
Output is correct |
6 |
Correct |
104 ms |
33092 KB |
Output is correct |
7 |
Correct |
76 ms |
36796 KB |
Output is correct |
8 |
Correct |
71 ms |
39492 KB |
Output is correct |
9 |
Correct |
75 ms |
24928 KB |
Output is correct |
10 |
Correct |
95 ms |
31708 KB |
Output is correct |
11 |
Correct |
92 ms |
32964 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
12636 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
2 ms |
12636 KB |
Output is correct |
4 |
Correct |
3 ms |
12780 KB |
Output is correct |
5 |
Correct |
3 ms |
12892 KB |
Output is correct |
6 |
Correct |
3 ms |
12792 KB |
Output is correct |
7 |
Correct |
3 ms |
12892 KB |
Output is correct |
8 |
Correct |
4 ms |
13144 KB |
Output is correct |
9 |
Correct |
3 ms |
12892 KB |
Output is correct |
10 |
Correct |
3 ms |
12892 KB |
Output is correct |
11 |
Correct |
3 ms |
12892 KB |
Output is correct |
12 |
Correct |
2 ms |
12940 KB |
Output is correct |
13 |
Correct |
3 ms |
12892 KB |
Output is correct |
14 |
Correct |
3 ms |
12892 KB |
Output is correct |
15 |
Correct |
2 ms |
12632 KB |
Output is correct |
16 |
Correct |
2 ms |
12636 KB |
Output is correct |
17 |
Correct |
93 ms |
31176 KB |
Output is correct |
18 |
Correct |
87 ms |
35776 KB |
Output is correct |
19 |
Correct |
104 ms |
28356 KB |
Output is correct |
20 |
Correct |
96 ms |
28756 KB |
Output is correct |
21 |
Correct |
99 ms |
28872 KB |
Output is correct |
22 |
Correct |
108 ms |
36404 KB |
Output is correct |
23 |
Correct |
81 ms |
32192 KB |
Output is correct |
24 |
Correct |
73 ms |
31036 KB |
Output is correct |
25 |
Correct |
98 ms |
40512 KB |
Output is correct |
26 |
Correct |
116 ms |
34024 KB |
Output is correct |
27 |
Correct |
86 ms |
39124 KB |
Output is correct |
28 |
Correct |
84 ms |
38960 KB |
Output is correct |
29 |
Correct |
81 ms |
40640 KB |
Output is correct |
30 |
Correct |
65 ms |
39880 KB |
Output is correct |
31 |
Correct |
2 ms |
12636 KB |
Output is correct |
32 |
Correct |
95 ms |
28808 KB |
Output is correct |
33 |
Correct |
105 ms |
29120 KB |
Output is correct |
34 |
Correct |
90 ms |
36288 KB |
Output is correct |
35 |
Correct |
85 ms |
34500 KB |
Output is correct |
36 |
Correct |
93 ms |
28864 KB |
Output is correct |
37 |
Correct |
86 ms |
36220 KB |
Output is correct |
38 |
Correct |
85 ms |
36288 KB |
Output is correct |
39 |
Correct |
59 ms |
36032 KB |
Output is correct |
40 |
Correct |
68 ms |
30660 KB |
Output is correct |
41 |
Correct |
78 ms |
29888 KB |
Output is correct |
42 |
Correct |
2 ms |
12636 KB |
Output is correct |
43 |
Correct |
108 ms |
29156 KB |
Output is correct |
44 |
Correct |
123 ms |
33220 KB |
Output is correct |
45 |
Correct |
116 ms |
33256 KB |
Output is correct |
46 |
Correct |
115 ms |
33216 KB |
Output is correct |
47 |
Correct |
104 ms |
33092 KB |
Output is correct |
48 |
Correct |
76 ms |
36796 KB |
Output is correct |
49 |
Correct |
71 ms |
39492 KB |
Output is correct |
50 |
Correct |
75 ms |
24928 KB |
Output is correct |
51 |
Correct |
95 ms |
31708 KB |
Output is correct |
52 |
Correct |
92 ms |
32964 KB |
Output is correct |
53 |
Correct |
2 ms |
12636 KB |
Output is correct |
54 |
Correct |
2 ms |
12780 KB |
Output is correct |
55 |
Correct |
2 ms |
12636 KB |
Output is correct |
56 |
Correct |
2 ms |
12892 KB |
Output is correct |
57 |
Correct |
3 ms |
12980 KB |
Output is correct |
58 |
Correct |
2 ms |
12892 KB |
Output is correct |
59 |
Correct |
3 ms |
12892 KB |
Output is correct |
60 |
Correct |
2 ms |
12892 KB |
Output is correct |
61 |
Correct |
3 ms |
12892 KB |
Output is correct |
62 |
Correct |
4 ms |
12860 KB |
Output is correct |
63 |
Correct |
3 ms |
12892 KB |
Output is correct |
64 |
Correct |
2 ms |
12892 KB |
Output is correct |
65 |
Correct |
3 ms |
12892 KB |
Output is correct |
66 |
Correct |
3 ms |
12892 KB |
Output is correct |
67 |
Correct |
83 ms |
35576 KB |
Output is correct |
68 |
Correct |
93 ms |
38852 KB |
Output is correct |
69 |
Correct |
88 ms |
32604 KB |
Output is correct |
70 |
Correct |
94 ms |
33220 KB |
Output is correct |
71 |
Correct |
111 ms |
33228 KB |
Output is correct |
72 |
Correct |
99 ms |
40904 KB |
Output is correct |
73 |
Correct |
71 ms |
32192 KB |
Output is correct |
74 |
Correct |
65 ms |
31040 KB |
Output is correct |
75 |
Correct |
90 ms |
40380 KB |
Output is correct |
76 |
Correct |
98 ms |
34024 KB |
Output is correct |
77 |
Correct |
84 ms |
39108 KB |
Output is correct |
78 |
Correct |
78 ms |
38892 KB |
Output is correct |
79 |
Correct |
90 ms |
40640 KB |
Output is correct |
80 |
Correct |
70 ms |
39876 KB |
Output is correct |
81 |
Correct |
113 ms |
33220 KB |
Output is correct |
82 |
Correct |
112 ms |
33476 KB |
Output is correct |
83 |
Correct |
103 ms |
40644 KB |
Output is correct |
84 |
Correct |
77 ms |
37568 KB |
Output is correct |
85 |
Correct |
109 ms |
33476 KB |
Output is correct |
86 |
Correct |
104 ms |
40640 KB |
Output is correct |
87 |
Correct |
100 ms |
40640 KB |
Output is correct |
88 |
Correct |
79 ms |
34388 KB |
Output is correct |
89 |
Correct |
95 ms |
32960 KB |
Output is correct |
90 |
Correct |
124 ms |
33476 KB |
Output is correct |
91 |
Correct |
121 ms |
33216 KB |
Output is correct |
92 |
Correct |
123 ms |
33216 KB |
Output is correct |
93 |
Correct |
114 ms |
33216 KB |
Output is correct |
94 |
Correct |
97 ms |
32996 KB |
Output is correct |
95 |
Correct |
79 ms |
36672 KB |
Output is correct |
96 |
Correct |
68 ms |
39616 KB |
Output is correct |
97 |
Correct |
74 ms |
25024 KB |
Output is correct |
98 |
Correct |
91 ms |
31764 KB |
Output is correct |
99 |
Correct |
90 ms |
32964 KB |
Output is correct |
100 |
Correct |
29 ms |
16980 KB |
Output is correct |
101 |
Correct |
114 ms |
33340 KB |
Output is correct |
102 |
Correct |
99 ms |
31172 KB |
Output is correct |
103 |
Correct |
114 ms |
31876 KB |
Output is correct |
104 |
Correct |
131 ms |
33480 KB |
Output is correct |