#include <bits/stdc++.h>
using namespace std;
using ll = int64_t;
/**
* Follows https://usaco.guide/problems/lmio-2019triusis/solution
*
* We count the number of poles we don't change
* Suppose the poles i1, i2, ..., ik don't change
* Condition 1. a[i_j] <= M * i_j
* Condition 2. a[i_{j+1}] <= a[i_j] + M * (i_{j+1} - i_j)
*
* Hence, we have a[i_{j+1}] - M * i_{j+1} <= a[i_j] - M * i_j
* or M * i_{j+1} - a[i_{j+1}] <= M * i_j - a[i_j]
*
* Now, if b[i] = M * i - a[i],
* we can find the largest non-decreasing sequence of b[i]
* where the the indices satisfy condition 1 (b[i] >= 0)
*/
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m; cin >> n >> m;
vector<int> a(n);
for (int &x: a) cin >> x;
vector<ll> lis; // Largest Non-Decreasing Sequence of b[i]
for (ll i = 0, x; i < n; i++) {
x = 1LL * m * (i + 1) - a[i]; // b[i]
if (x < 0) continue;
if (lis.empty() or x >= lis.back()) lis.push_back(x);
else *lower_bound(lis.begin(), lis.end(), x + 1) = x;
}
cout << n - lis.size() << endl;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
320 KB |
Output is correct |
| 5 |
Correct |
1 ms |
212 KB |
Output is correct |
| 6 |
Correct |
0 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
320 KB |
Output is correct |
| 9 |
Correct |
0 ms |
212 KB |
Output is correct |
| 10 |
Correct |
0 ms |
212 KB |
Output is correct |
| 11 |
Correct |
0 ms |
212 KB |
Output is correct |
| 12 |
Correct |
0 ms |
212 KB |
Output is correct |
| 13 |
Correct |
0 ms |
324 KB |
Output is correct |
| 14 |
Correct |
0 ms |
212 KB |
Output is correct |
| 15 |
Correct |
0 ms |
212 KB |
Output is correct |
| 16 |
Correct |
0 ms |
212 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
320 KB |
Output is correct |
| 5 |
Correct |
1 ms |
212 KB |
Output is correct |
| 6 |
Correct |
0 ms |
212 KB |
Output is correct |
| 7 |
Correct |
1 ms |
212 KB |
Output is correct |
| 8 |
Correct |
1 ms |
320 KB |
Output is correct |
| 9 |
Correct |
0 ms |
212 KB |
Output is correct |
| 10 |
Correct |
0 ms |
212 KB |
Output is correct |
| 11 |
Correct |
0 ms |
212 KB |
Output is correct |
| 12 |
Correct |
0 ms |
212 KB |
Output is correct |
| 13 |
Correct |
0 ms |
324 KB |
Output is correct |
| 14 |
Correct |
0 ms |
212 KB |
Output is correct |
| 15 |
Correct |
0 ms |
212 KB |
Output is correct |
| 16 |
Correct |
0 ms |
212 KB |
Output is correct |
| 17 |
Correct |
1 ms |
324 KB |
Output is correct |
| 18 |
Correct |
1 ms |
212 KB |
Output is correct |
| 19 |
Correct |
1 ms |
212 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 |
468 KB |
Output is correct |
| 24 |
Correct |
1 ms |
468 KB |
Output is correct |
| 25 |
Correct |
1 ms |
340 KB |
Output is correct |
| 26 |
Correct |
1 ms |
364 KB |
Output is correct |
| 27 |
Correct |
1 ms |
328 KB |
Output is correct |
| 28 |
Correct |
1 ms |
468 KB |
Output is correct |
| 29 |
Correct |
1 ms |
340 KB |
Output is correct |
| 30 |
Correct |
1 ms |
340 KB |
Output is correct |
| 31 |
Correct |
1 ms |
340 KB |
Output is correct |
| 32 |
Correct |
1 ms |
340 KB |
Output is correct |
| 33 |
Correct |
1 ms |
368 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
324 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
340 KB |
Output is correct |
| 6 |
Correct |
1 ms |
340 KB |
Output is correct |
| 7 |
Correct |
1 ms |
468 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
328 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
368 KB |
Output is correct |
| 18 |
Correct |
0 ms |
212 KB |
Output is correct |
| 19 |
Correct |
0 ms |
212 KB |
Output is correct |
| 20 |
Correct |
1 ms |
212 KB |
Output is correct |
| 21 |
Correct |
1 ms |
320 KB |
Output is correct |
| 22 |
Correct |
1 ms |
212 KB |
Output is correct |
| 23 |
Correct |
0 ms |
212 KB |
Output is correct |
| 24 |
Correct |
1 ms |
212 KB |
Output is correct |
| 25 |
Correct |
1 ms |
320 KB |
Output is correct |
| 26 |
Correct |
0 ms |
212 KB |
Output is correct |
| 27 |
Correct |
0 ms |
212 KB |
Output is correct |
| 28 |
Correct |
0 ms |
212 KB |
Output is correct |
| 29 |
Correct |
0 ms |
212 KB |
Output is correct |
| 30 |
Correct |
0 ms |
324 KB |
Output is correct |
| 31 |
Correct |
0 ms |
212 KB |
Output is correct |
| 32 |
Correct |
0 ms |
212 KB |
Output is correct |
| 33 |
Correct |
0 ms |
212 KB |
Output is correct |
| 34 |
Correct |
1 ms |
340 KB |
Output is correct |
| 35 |
Correct |
1 ms |
340 KB |
Output is correct |
| 36 |
Correct |
1 ms |
340 KB |
Output is correct |
| 37 |
Correct |
1 ms |
468 KB |
Output is correct |
| 38 |
Correct |
1 ms |
328 KB |
Output is correct |
| 39 |
Correct |
1 ms |
468 KB |
Output is correct |
| 40 |
Correct |
1 ms |
340 KB |
Output is correct |
| 41 |
Correct |
1 ms |
340 KB |
Output is correct |
| 42 |
Correct |
1 ms |
340 KB |
Output is correct |
| 43 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
468 KB |
Output is correct |
| 5 |
Correct |
1 ms |
328 KB |
Output is correct |
| 6 |
Correct |
1 ms |
468 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
340 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
324 KB |
Output is correct |
| 12 |
Correct |
1 ms |
212 KB |
Output is correct |
| 13 |
Correct |
1 ms |
212 KB |
Output is correct |
| 14 |
Correct |
1 ms |
340 KB |
Output is correct |
| 15 |
Correct |
1 ms |
340 KB |
Output is correct |
| 16 |
Correct |
1 ms |
340 KB |
Output is correct |
| 17 |
Correct |
1 ms |
468 KB |
Output is correct |
| 18 |
Correct |
1 ms |
468 KB |
Output is correct |
| 19 |
Correct |
1 ms |
340 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
328 KB |
Output is correct |
| 22 |
Correct |
1 ms |
468 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 |
368 KB |
Output is correct |
| 28 |
Correct |
0 ms |
212 KB |
Output is correct |
| 29 |
Correct |
0 ms |
212 KB |
Output is correct |
| 30 |
Correct |
1 ms |
212 KB |
Output is correct |
| 31 |
Correct |
1 ms |
320 KB |
Output is correct |
| 32 |
Correct |
1 ms |
212 KB |
Output is correct |
| 33 |
Correct |
0 ms |
212 KB |
Output is correct |
| 34 |
Correct |
1 ms |
212 KB |
Output is correct |
| 35 |
Correct |
1 ms |
320 KB |
Output is correct |
| 36 |
Correct |
0 ms |
212 KB |
Output is correct |
| 37 |
Correct |
0 ms |
212 KB |
Output is correct |
| 38 |
Correct |
0 ms |
212 KB |
Output is correct |
| 39 |
Correct |
0 ms |
212 KB |
Output is correct |
| 40 |
Correct |
0 ms |
324 KB |
Output is correct |
| 41 |
Correct |
0 ms |
212 KB |
Output is correct |
| 42 |
Correct |
0 ms |
212 KB |
Output is correct |
| 43 |
Correct |
0 ms |
212 KB |
Output is correct |
| 44 |
Correct |
10 ms |
3656 KB |
Output is correct |
| 45 |
Correct |
22 ms |
3020 KB |
Output is correct |
| 46 |
Correct |
21 ms |
3008 KB |
Output is correct |
| 47 |
Correct |
21 ms |
3040 KB |
Output is correct |
| 48 |
Correct |
17 ms |
4160 KB |
Output is correct |
| 49 |
Correct |
18 ms |
4424 KB |
Output is correct |
| 50 |
Correct |
19 ms |
4180 KB |
Output is correct |
| 51 |
Correct |
17 ms |
5192 KB |
Output is correct |
| 52 |
Correct |
15 ms |
3148 KB |
Output is correct |
| 53 |
Correct |
12 ms |
2260 KB |
Output is correct |
| 54 |
Correct |
15 ms |
4288 KB |
Output is correct |
| 55 |
Correct |
15 ms |
4284 KB |
Output is correct |
