#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define ff first
#define ss second
int N, M, L;
ll A[200005], X[200005], mx, S[200005];
vector<pii> V[200005];
bool g(ll m, ll n, int p) {
fill(S, S + N + 1, 0);
priority_queue<pii> pq;
ll s = 0;
for (int i = 1; i <= p; ++i) {
for (auto j : V[i]) if (j.ff > p) pq.push(j);
while (s < X[i]) {
if (pq.empty()) return 0;
auto t = pq.top(); pq.pop();
if (s + t.ss <= X[i]) {
S[t.ff] += t.ss;
s += t.ss;
}
else {
S[t.ff] += X[i] - s;
t.ss -= X[i] - s;
s = X[i];
pq.push(t);
}
}
}
for (int i = p + 1; i <= N; ++i) {
s -= S[i];
if (A[i] - s + n - s > m) return 0;
}
return 1;
}
bool f(ll m) {
for (ll n = mx - m; n <= mx - m + 1; ++n) {
for (int i = 1; i <= L; ++i) X[i] = (A[i] + n - m + 1) / 2;
if (g(m, n, L)) return 1;
}
return 0;
}
int main() {
ios_base::sync_with_stdio(0), cin.tie(0);
cin >> N >> M;
for (int i = 1; i <= M; ++i) {
int a, b, c; cin >> a >> b >> c;
if (a > b) swap(a, b);
A[a] += c;
A[b] -= c;
V[a].emplace_back(b, c);
}
for (int i = 1; i <= N; ++i) A[i] += A[i - 1];
mx = *max_element(A + 1, A + N + 1);
for (int i = 1; i <= N; ++i) if (mx == A[i]) {
L = i;
break;
}
ll l = 1, r = mx;
while (l < r) {
ll m = l + r >> 1;
if (f(m)) r = m;
else l = m + 1;
}
cout << l;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
4984 KB |
Output is correct |
2 |
Correct |
11 ms |
4984 KB |
Output is correct |
3 |
Correct |
7 ms |
4984 KB |
Output is correct |
4 |
Correct |
7 ms |
4984 KB |
Output is correct |
5 |
Correct |
7 ms |
4984 KB |
Output is correct |
6 |
Correct |
7 ms |
4984 KB |
Output is correct |
7 |
Correct |
7 ms |
5112 KB |
Output is correct |
8 |
Correct |
7 ms |
5112 KB |
Output is correct |
9 |
Correct |
7 ms |
4988 KB |
Output is correct |
10 |
Correct |
8 ms |
4984 KB |
Output is correct |
11 |
Correct |
8 ms |
4984 KB |
Output is correct |
12 |
Correct |
7 ms |
4984 KB |
Output is correct |
13 |
Correct |
7 ms |
4984 KB |
Output is correct |
14 |
Correct |
8 ms |
4984 KB |
Output is correct |
15 |
Correct |
7 ms |
4984 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
4984 KB |
Output is correct |
2 |
Correct |
11 ms |
4984 KB |
Output is correct |
3 |
Correct |
7 ms |
4984 KB |
Output is correct |
4 |
Correct |
7 ms |
4984 KB |
Output is correct |
5 |
Correct |
7 ms |
4984 KB |
Output is correct |
6 |
Correct |
7 ms |
4984 KB |
Output is correct |
7 |
Correct |
7 ms |
5112 KB |
Output is correct |
8 |
Correct |
7 ms |
5112 KB |
Output is correct |
9 |
Correct |
7 ms |
4988 KB |
Output is correct |
10 |
Correct |
8 ms |
4984 KB |
Output is correct |
11 |
Correct |
8 ms |
4984 KB |
Output is correct |
12 |
Correct |
7 ms |
4984 KB |
Output is correct |
13 |
Correct |
7 ms |
4984 KB |
Output is correct |
14 |
Correct |
8 ms |
4984 KB |
Output is correct |
15 |
Correct |
7 ms |
4984 KB |
Output is correct |
16 |
Correct |
7 ms |
5112 KB |
Output is correct |
17 |
Correct |
8 ms |
5112 KB |
Output is correct |
18 |
Correct |
8 ms |
5112 KB |
Output is correct |
19 |
Correct |
7 ms |
5116 KB |
Output is correct |
20 |
Correct |
8 ms |
5112 KB |
Output is correct |
21 |
Correct |
7 ms |
5112 KB |
Output is correct |
22 |
Correct |
7 ms |
4984 KB |
Output is correct |
23 |
Correct |
8 ms |
5112 KB |
Output is correct |
24 |
Correct |
8 ms |
4984 KB |
Output is correct |
25 |
Correct |
8 ms |
5112 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
4984 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
4984 KB |
Output is correct |
2 |
Correct |
11 ms |
4984 KB |
Output is correct |
3 |
Correct |
7 ms |
4984 KB |
Output is correct |
4 |
Correct |
7 ms |
4984 KB |
Output is correct |
5 |
Correct |
7 ms |
4984 KB |
Output is correct |
6 |
Correct |
7 ms |
4984 KB |
Output is correct |
7 |
Correct |
7 ms |
5112 KB |
Output is correct |
8 |
Correct |
7 ms |
5112 KB |
Output is correct |
9 |
Correct |
7 ms |
4988 KB |
Output is correct |
10 |
Correct |
8 ms |
4984 KB |
Output is correct |
11 |
Correct |
8 ms |
4984 KB |
Output is correct |
12 |
Correct |
7 ms |
4984 KB |
Output is correct |
13 |
Correct |
7 ms |
4984 KB |
Output is correct |
14 |
Correct |
8 ms |
4984 KB |
Output is correct |
15 |
Correct |
7 ms |
4984 KB |
Output is correct |
16 |
Correct |
7 ms |
5112 KB |
Output is correct |
17 |
Correct |
8 ms |
5112 KB |
Output is correct |
18 |
Correct |
8 ms |
5112 KB |
Output is correct |
19 |
Correct |
7 ms |
5116 KB |
Output is correct |
20 |
Correct |
8 ms |
5112 KB |
Output is correct |
21 |
Correct |
7 ms |
5112 KB |
Output is correct |
22 |
Correct |
7 ms |
4984 KB |
Output is correct |
23 |
Correct |
8 ms |
5112 KB |
Output is correct |
24 |
Correct |
8 ms |
4984 KB |
Output is correct |
25 |
Correct |
8 ms |
5112 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
4984 KB |
Output is correct |
28 |
Correct |
10 ms |
5240 KB |
Output is correct |
29 |
Correct |
10 ms |
5240 KB |
Output is correct |
30 |
Correct |
12 ms |
5240 KB |
Output is correct |
31 |
Correct |
10 ms |
5244 KB |
Output is correct |
32 |
Correct |
11 ms |
5240 KB |
Output is correct |
33 |
Correct |
12 ms |
5240 KB |
Output is correct |
34 |
Correct |
9 ms |
5240 KB |
Output is correct |
35 |
Correct |
10 ms |
5112 KB |
Output is correct |
36 |
Correct |
10 ms |
5112 KB |
Output is correct |
37 |
Correct |
9 ms |
5240 KB |
Output is correct |
38 |
Correct |
9 ms |
5112 KB |
Output is correct |
39 |
Correct |
9 ms |
5240 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
4984 KB |
Output is correct |
2 |
Correct |
11 ms |
4984 KB |
Output is correct |
3 |
Correct |
7 ms |
4984 KB |
Output is correct |
4 |
Correct |
7 ms |
4984 KB |
Output is correct |
5 |
Correct |
7 ms |
4984 KB |
Output is correct |
6 |
Correct |
7 ms |
4984 KB |
Output is correct |
7 |
Correct |
7 ms |
5112 KB |
Output is correct |
8 |
Correct |
7 ms |
5112 KB |
Output is correct |
9 |
Correct |
7 ms |
4988 KB |
Output is correct |
10 |
Correct |
8 ms |
4984 KB |
Output is correct |
11 |
Correct |
8 ms |
4984 KB |
Output is correct |
12 |
Correct |
7 ms |
4984 KB |
Output is correct |
13 |
Correct |
7 ms |
4984 KB |
Output is correct |
14 |
Correct |
8 ms |
4984 KB |
Output is correct |
15 |
Correct |
7 ms |
4984 KB |
Output is correct |
16 |
Correct |
7 ms |
5112 KB |
Output is correct |
17 |
Correct |
8 ms |
5112 KB |
Output is correct |
18 |
Correct |
8 ms |
5112 KB |
Output is correct |
19 |
Correct |
7 ms |
5116 KB |
Output is correct |
20 |
Correct |
8 ms |
5112 KB |
Output is correct |
21 |
Correct |
7 ms |
5112 KB |
Output is correct |
22 |
Correct |
7 ms |
4984 KB |
Output is correct |
23 |
Correct |
8 ms |
5112 KB |
Output is correct |
24 |
Correct |
8 ms |
4984 KB |
Output is correct |
25 |
Correct |
8 ms |
5112 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
4984 KB |
Output is correct |
28 |
Correct |
10 ms |
5240 KB |
Output is correct |
29 |
Correct |
10 ms |
5240 KB |
Output is correct |
30 |
Correct |
12 ms |
5240 KB |
Output is correct |
31 |
Correct |
10 ms |
5244 KB |
Output is correct |
32 |
Correct |
11 ms |
5240 KB |
Output is correct |
33 |
Correct |
12 ms |
5240 KB |
Output is correct |
34 |
Correct |
9 ms |
5240 KB |
Output is correct |
35 |
Correct |
10 ms |
5112 KB |
Output is correct |
36 |
Correct |
10 ms |
5112 KB |
Output is correct |
37 |
Correct |
9 ms |
5240 KB |
Output is correct |
38 |
Correct |
9 ms |
5112 KB |
Output is correct |
39 |
Correct |
9 ms |
5240 KB |
Output is correct |
40 |
Correct |
206 ms |
11912 KB |
Output is correct |
41 |
Correct |
229 ms |
12268 KB |
Output is correct |
42 |
Correct |
68 ms |
11124 KB |
Output is correct |
43 |
Correct |
231 ms |
11840 KB |
Output is correct |
44 |
Correct |
166 ms |
12204 KB |
Output is correct |
45 |
Correct |
250 ms |
11400 KB |
Output is correct |
46 |
Correct |
76 ms |
11680 KB |
Output is correct |
47 |
Correct |
68 ms |
11952 KB |
Output is correct |
48 |
Correct |
71 ms |
11312 KB |
Output is correct |
49 |
Correct |
65 ms |
9680 KB |
Output is correct |
50 |
Correct |
54 ms |
9720 KB |
Output is correct |
51 |
Correct |
62 ms |
9484 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
4984 KB |
Output is correct |
2 |
Correct |
11 ms |
4984 KB |
Output is correct |
3 |
Correct |
7 ms |
4984 KB |
Output is correct |
4 |
Correct |
7 ms |
4984 KB |
Output is correct |
5 |
Correct |
7 ms |
4984 KB |
Output is correct |
6 |
Correct |
7 ms |
4984 KB |
Output is correct |
7 |
Correct |
7 ms |
5112 KB |
Output is correct |
8 |
Correct |
7 ms |
5112 KB |
Output is correct |
9 |
Correct |
7 ms |
4988 KB |
Output is correct |
10 |
Correct |
8 ms |
4984 KB |
Output is correct |
11 |
Correct |
8 ms |
4984 KB |
Output is correct |
12 |
Correct |
7 ms |
4984 KB |
Output is correct |
13 |
Correct |
7 ms |
4984 KB |
Output is correct |
14 |
Correct |
8 ms |
4984 KB |
Output is correct |
15 |
Correct |
7 ms |
4984 KB |
Output is correct |
16 |
Correct |
7 ms |
5112 KB |
Output is correct |
17 |
Correct |
8 ms |
5112 KB |
Output is correct |
18 |
Correct |
8 ms |
5112 KB |
Output is correct |
19 |
Correct |
7 ms |
5116 KB |
Output is correct |
20 |
Correct |
8 ms |
5112 KB |
Output is correct |
21 |
Correct |
7 ms |
5112 KB |
Output is correct |
22 |
Correct |
7 ms |
4984 KB |
Output is correct |
23 |
Correct |
8 ms |
5112 KB |
Output is correct |
24 |
Correct |
8 ms |
4984 KB |
Output is correct |
25 |
Correct |
8 ms |
5112 KB |
Output is correct |
26 |
Correct |
8 ms |
5112 KB |
Output is correct |
27 |
Correct |
8 ms |
4984 KB |
Output is correct |
28 |
Correct |
10 ms |
5240 KB |
Output is correct |
29 |
Correct |
10 ms |
5240 KB |
Output is correct |
30 |
Correct |
12 ms |
5240 KB |
Output is correct |
31 |
Correct |
10 ms |
5244 KB |
Output is correct |
32 |
Correct |
11 ms |
5240 KB |
Output is correct |
33 |
Correct |
12 ms |
5240 KB |
Output is correct |
34 |
Correct |
9 ms |
5240 KB |
Output is correct |
35 |
Correct |
10 ms |
5112 KB |
Output is correct |
36 |
Correct |
10 ms |
5112 KB |
Output is correct |
37 |
Correct |
9 ms |
5240 KB |
Output is correct |
38 |
Correct |
9 ms |
5112 KB |
Output is correct |
39 |
Correct |
9 ms |
5240 KB |
Output is correct |
40 |
Correct |
206 ms |
11912 KB |
Output is correct |
41 |
Correct |
229 ms |
12268 KB |
Output is correct |
42 |
Correct |
68 ms |
11124 KB |
Output is correct |
43 |
Correct |
231 ms |
11840 KB |
Output is correct |
44 |
Correct |
166 ms |
12204 KB |
Output is correct |
45 |
Correct |
250 ms |
11400 KB |
Output is correct |
46 |
Correct |
76 ms |
11680 KB |
Output is correct |
47 |
Correct |
68 ms |
11952 KB |
Output is correct |
48 |
Correct |
71 ms |
11312 KB |
Output is correct |
49 |
Correct |
65 ms |
9680 KB |
Output is correct |
50 |
Correct |
54 ms |
9720 KB |
Output is correct |
51 |
Correct |
62 ms |
9484 KB |
Output is correct |
52 |
Correct |
528 ms |
12524 KB |
Output is correct |
53 |
Correct |
96 ms |
13560 KB |
Output is correct |
54 |
Correct |
953 ms |
14340 KB |
Output is correct |
55 |
Correct |
451 ms |
14632 KB |
Output is correct |
56 |
Correct |
795 ms |
13852 KB |
Output is correct |
57 |
Correct |
966 ms |
14124 KB |
Output is correct |
58 |
Correct |
608 ms |
14432 KB |
Output is correct |
59 |
Correct |
519 ms |
11920 KB |
Output is correct |