#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define MAXN (1000005)
int main() {
ios_base::sync_with_stdio(false);cin.tie(0);
ll N,X;
cin>>N>>X;
ll arr[N];
for(ll i = 0;i < N;i++){
cin>>arr[i];
}
//we can prove that it is always optimal to subtract x from prefix [0,i] because obviously we want the first few elements as small as possible, it will do no worse than subtracting x from [j,i]
//since we are subtracting from the prefix, we should obviously subtract as much as possible which is x
vector<ll> v(N,1e18);
ll longestprefix[N];
ll ans = 0;
for(ll i = 0;i < N;i++){
auto it = lower_bound(v.begin(),v.end(),arr[i]);
v[it - v.begin()] = arr[i];
longestprefix[i] = it - v.begin() + 1;
ans = max(ans,longestprefix[i]);
}
v.clear();
v = vector<ll>(N, 1e18);
for(ll i = N - 1;i >= 0;i--){
ll pos = lower_bound(v.begin(),v.end(),-arr[i] + X) - v.begin();
ans = max(ans,longestprefix[i] + pos);
ll insert_pos = lower_bound(v.begin(),v.end(),-arr[i]) - v.begin();
v[insert_pos] = -arr[i];
}
cout<<ans<<'\n';
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
452 KB |
Output is correct |
| 9 |
Correct |
0 ms |
376 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
452 KB |
Output is correct |
| 9 |
Correct |
0 ms |
376 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
344 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| 16 |
Correct |
0 ms |
456 KB |
Output is correct |
| 17 |
Correct |
1 ms |
348 KB |
Output is correct |
| 18 |
Correct |
0 ms |
348 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
452 KB |
Output is correct |
| 9 |
Correct |
0 ms |
376 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
344 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| 16 |
Correct |
0 ms |
456 KB |
Output is correct |
| 17 |
Correct |
1 ms |
348 KB |
Output is correct |
| 18 |
Correct |
0 ms |
348 KB |
Output is correct |
| 19 |
Correct |
1 ms |
348 KB |
Output is correct |
| 20 |
Correct |
0 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
468 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
0 ms |
348 KB |
Output is correct |
| 24 |
Correct |
1 ms |
348 KB |
Output is correct |
| 25 |
Correct |
0 ms |
348 KB |
Output is correct |
| 26 |
Correct |
0 ms |
348 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
51 ms |
8532 KB |
Output is correct |
| 2 |
Correct |
49 ms |
8540 KB |
Output is correct |
| 3 |
Correct |
54 ms |
8508 KB |
Output is correct |
| 4 |
Correct |
48 ms |
8528 KB |
Output is correct |
| 5 |
Correct |
35 ms |
7768 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
11 ms |
2396 KB |
Output is correct |
| 2 |
Correct |
11 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
13 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
9 ms |
2136 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
9 ms |
2152 KB |
Output is correct |
| 7 |
Correct |
9 ms |
2396 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
21 ms |
4504 KB |
Output is correct |
| 2 |
Correct |
21 ms |
4444 KB |
Output is correct |
| 3 |
Correct |
43 ms |
8620 KB |
Output is correct |
| 4 |
Correct |
35 ms |
7772 KB |
Output is correct |
| 5 |
Correct |
18 ms |
3932 KB |
Output is correct |
| 6 |
Correct |
29 ms |
7376 KB |
Output is correct |
| 7 |
Correct |
32 ms |
8016 KB |
Output is correct |
| 8 |
Correct |
17 ms |
4440 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
452 KB |
Output is correct |
| 9 |
Correct |
0 ms |
376 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
344 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
0 ms |
348 KB |
Output is correct |
| 15 |
Correct |
0 ms |
348 KB |
Output is correct |
| 16 |
Correct |
0 ms |
456 KB |
Output is correct |
| 17 |
Correct |
1 ms |
348 KB |
Output is correct |
| 18 |
Correct |
0 ms |
348 KB |
Output is correct |
| 19 |
Correct |
1 ms |
348 KB |
Output is correct |
| 20 |
Correct |
0 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
468 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
0 ms |
348 KB |
Output is correct |
| 24 |
Correct |
1 ms |
348 KB |
Output is correct |
| 25 |
Correct |
0 ms |
348 KB |
Output is correct |
| 26 |
Correct |
0 ms |
348 KB |
Output is correct |
| 27 |
Correct |
51 ms |
8532 KB |
Output is correct |
| 28 |
Correct |
49 ms |
8540 KB |
Output is correct |
| 29 |
Correct |
54 ms |
8508 KB |
Output is correct |
| 30 |
Correct |
48 ms |
8528 KB |
Output is correct |
| 31 |
Correct |
35 ms |
7768 KB |
Output is correct |
| 32 |
Correct |
11 ms |
2396 KB |
Output is correct |
| 33 |
Correct |
11 ms |
2396 KB |
Output is correct |
| 34 |
Correct |
13 ms |
2396 KB |
Output is correct |
| 35 |
Correct |
9 ms |
2136 KB |
Output is correct |
| 36 |
Correct |
0 ms |
348 KB |
Output is correct |
| 37 |
Correct |
9 ms |
2152 KB |
Output is correct |
| 38 |
Correct |
9 ms |
2396 KB |
Output is correct |
| 39 |
Correct |
21 ms |
4504 KB |
Output is correct |
| 40 |
Correct |
21 ms |
4444 KB |
Output is correct |
| 41 |
Correct |
43 ms |
8620 KB |
Output is correct |
| 42 |
Correct |
35 ms |
7772 KB |
Output is correct |
| 43 |
Correct |
18 ms |
3932 KB |
Output is correct |
| 44 |
Correct |
29 ms |
7376 KB |
Output is correct |
| 45 |
Correct |
32 ms |
8016 KB |
Output is correct |
| 46 |
Correct |
17 ms |
4440 KB |
Output is correct |
| 47 |
Correct |
26 ms |
4568 KB |
Output is correct |
| 48 |
Correct |
23 ms |
4444 KB |
Output is correct |
| 49 |
Correct |
50 ms |
8616 KB |
Output is correct |
| 50 |
Correct |
35 ms |
7772 KB |
Output is correct |
| 51 |
Correct |
29 ms |
5968 KB |
Output is correct |
| 52 |
Correct |
36 ms |
7760 KB |
Output is correct |
| 53 |
Correct |
30 ms |
7952 KB |
Output is correct |
| 54 |
Correct |
34 ms |
8532 KB |
Output is correct |
| 55 |
Correct |
39 ms |
8572 KB |
Output is correct |
