#include <bits/stdc++.h>
using namespace std;
const int MAXN = 200005;
using lint = long long;
using pi = array<lint, 2>;
int n, m;
int a[MAXN], b[MAXN], c[MAXN];
bool Do(vector<lint> l, vector<lint> r, vector<array<lint, 3>> intv, lint K) {
l[0] = r[0] = 1e18;
for (int i = 1; i < l.size(); i++)
l[i] = min(l[i], l[i - 1]);
for (int i = 1; i < r.size(); i++)
r[i] = min(r[i], r[i - 1]);
l.push_back(0);
r.push_back(0);
sort(intv.begin(), intv.end());
priority_queue<pi, vector<pi>, greater<pi>> pq;
int ptr = 0;
vector<lint> opt(r.size());
for (int i = 0; i + 1 < l.size(); i++) {
while (ptr < intv.size() && intv[ptr][0] <= i) {
pq.push({intv[ptr][1], intv[ptr][2]});
ptr++;
}
while (l[i + 1] < K) {
if (pq.empty())
return 0;
auto nxt = pq.top();
pq.pop();
lint dx = min(K - l[i + 1], nxt[1]);
opt[nxt[0]] += dx;
nxt[1] -= dx;
K -= dx;
if (nxt[1])
pq.push(nxt);
}
}
for (int i = opt.size() - 2; i >= 0; i--)
opt[i] += opt[i + 1];
for (int i = 0; i < r.size(); i++) {
if (opt[i] > r[i])
return false;
}
return true;
}
lint cnt[MAXN];
bool trial(lint x) {
int maxpos = max_element(cnt + 1, cnt + n + 1) - cnt;
lint mx = cnt[maxpos];
if (mx <= x)
return true;
for (lint i = mx - x; i <= mx - x + 1 && i <= x; i++) {
vector<lint> surp(n - 1);
for (int j = 0; j < n - 1; j++) {
surp[j] = x + i - cnt[j + 1];
surp[j] /= 2;
}
// number of reversal
vector<array<lint, 3>> intv;
for (int k = 0; k < m; k++) {
if (a[k] <= maxpos && b[k] > maxpos) {
intv.push_back({a[k] - 1, n - b[k], c[k]});
}
}
vector<lint> l = {0};
vector<lint> r = {0};
for (int k = 0; k < maxpos - 1; k++)
l.push_back(surp[k]);
for (int k = n - 2; k >= maxpos; k--)
r.push_back(surp[k]);
if (Do(l, r, intv, i))
return true;
}
return false;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> m;
for (int i = 0; i < m; i++) {
cin >> a[i] >> b[i] >> c[i];
if (a[i] > b[i])
swap(a[i], b[i]);
cnt[a[i]] += c[i];
cnt[b[i]] -= c[i];
}
for (int i = 1; i <= n; i++)
cnt[i] += cnt[i - 1];
lint s = 0, e = 1e14;
while (s != e) {
lint m = (s + e) / 2;
if (trial(m))
e = m;
else
s = m + 1;
}
cout << s << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
352 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
352 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
360 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
352 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
360 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
4 ms |
724 KB |
Output is correct |
29 |
Correct |
4 ms |
608 KB |
Output is correct |
30 |
Correct |
4 ms |
736 KB |
Output is correct |
31 |
Correct |
4 ms |
728 KB |
Output is correct |
32 |
Correct |
6 ms |
732 KB |
Output is correct |
33 |
Correct |
4 ms |
736 KB |
Output is correct |
34 |
Correct |
3 ms |
732 KB |
Output is correct |
35 |
Correct |
4 ms |
724 KB |
Output is correct |
36 |
Correct |
4 ms |
728 KB |
Output is correct |
37 |
Correct |
4 ms |
724 KB |
Output is correct |
38 |
Correct |
2 ms |
596 KB |
Output is correct |
39 |
Correct |
2 ms |
616 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
352 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
360 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
4 ms |
724 KB |
Output is correct |
29 |
Correct |
4 ms |
608 KB |
Output is correct |
30 |
Correct |
4 ms |
736 KB |
Output is correct |
31 |
Correct |
4 ms |
728 KB |
Output is correct |
32 |
Correct |
6 ms |
732 KB |
Output is correct |
33 |
Correct |
4 ms |
736 KB |
Output is correct |
34 |
Correct |
3 ms |
732 KB |
Output is correct |
35 |
Correct |
4 ms |
724 KB |
Output is correct |
36 |
Correct |
4 ms |
728 KB |
Output is correct |
37 |
Correct |
4 ms |
724 KB |
Output is correct |
38 |
Correct |
2 ms |
596 KB |
Output is correct |
39 |
Correct |
2 ms |
616 KB |
Output is correct |
40 |
Correct |
280 ms |
15532 KB |
Output is correct |
41 |
Correct |
246 ms |
15252 KB |
Output is correct |
42 |
Correct |
255 ms |
15192 KB |
Output is correct |
43 |
Correct |
349 ms |
15396 KB |
Output is correct |
44 |
Correct |
309 ms |
15176 KB |
Output is correct |
45 |
Correct |
485 ms |
15068 KB |
Output is correct |
46 |
Correct |
221 ms |
15232 KB |
Output is correct |
47 |
Correct |
165 ms |
15160 KB |
Output is correct |
48 |
Correct |
182 ms |
14784 KB |
Output is correct |
49 |
Correct |
133 ms |
11364 KB |
Output is correct |
50 |
Correct |
66 ms |
7268 KB |
Output is correct |
51 |
Correct |
101 ms |
10452 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
352 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
360 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
4 ms |
724 KB |
Output is correct |
29 |
Correct |
4 ms |
608 KB |
Output is correct |
30 |
Correct |
4 ms |
736 KB |
Output is correct |
31 |
Correct |
4 ms |
728 KB |
Output is correct |
32 |
Correct |
6 ms |
732 KB |
Output is correct |
33 |
Correct |
4 ms |
736 KB |
Output is correct |
34 |
Correct |
3 ms |
732 KB |
Output is correct |
35 |
Correct |
4 ms |
724 KB |
Output is correct |
36 |
Correct |
4 ms |
728 KB |
Output is correct |
37 |
Correct |
4 ms |
724 KB |
Output is correct |
38 |
Correct |
2 ms |
596 KB |
Output is correct |
39 |
Correct |
2 ms |
616 KB |
Output is correct |
40 |
Correct |
280 ms |
15532 KB |
Output is correct |
41 |
Correct |
246 ms |
15252 KB |
Output is correct |
42 |
Correct |
255 ms |
15192 KB |
Output is correct |
43 |
Correct |
349 ms |
15396 KB |
Output is correct |
44 |
Correct |
309 ms |
15176 KB |
Output is correct |
45 |
Correct |
485 ms |
15068 KB |
Output is correct |
46 |
Correct |
221 ms |
15232 KB |
Output is correct |
47 |
Correct |
165 ms |
15160 KB |
Output is correct |
48 |
Correct |
182 ms |
14784 KB |
Output is correct |
49 |
Correct |
133 ms |
11364 KB |
Output is correct |
50 |
Correct |
66 ms |
7268 KB |
Output is correct |
51 |
Correct |
101 ms |
10452 KB |
Output is correct |
52 |
Correct |
974 ms |
15528 KB |
Output is correct |
53 |
Correct |
586 ms |
17416 KB |
Output is correct |
54 |
Correct |
1304 ms |
17516 KB |
Output is correct |
55 |
Correct |
1164 ms |
17648 KB |
Output is correct |
56 |
Correct |
1395 ms |
18372 KB |
Output is correct |
57 |
Correct |
1154 ms |
16396 KB |
Output is correct |
58 |
Correct |
873 ms |
16448 KB |
Output is correct |
59 |
Correct |
426 ms |
14244 KB |
Output is correct |