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Submission #703217

# Submission time Handle Problem Language Result Execution time Memory
703217 2023-02-26T15:07:17 Z LonlyR Rabbit Carrot (LMIO19_triusis) C++17
100 / 100
 29 ms 5376 KB 
#include<bits/stdc++.h>
#define int long long

/**
    the least number of changes = the most number of heights that do not change
    LIS:   i1, i2, i3, ...., ik
        a[ij]<= ij*M
        a[ij+1] <= a[ij] + (ij+1-ij)*M
    <=> M*ij - a[ij] >=0
        M*ij - a[ij] <= M*(ij+1) - a[ij+1]
    <=> make b[i] = M*i - a[i]
    then ans = n - length of the longest non-decreasing subsequence of b
**/

using namespace std;
const int maxn=2e5+5,inf=1e18;
int n,m,ans;
int b[maxn],dp[maxn];

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
    cin>>n>>m;
    for (int i=1,x;i<=n;i++) cin>>x,b[i]=m*i-x,dp[i]=inf;
    for (int i=1;i<=n;i++)
    {
        if (b[i]<0) continue;
        int pos=upper_bound(dp+1,dp+n+1,b[i])-dp;
        ans=max(ans,pos);
        dp[pos]=b[i];
    }
    cout<<n-ans;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 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 328 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 328 KB Output is correct
13 Correct 0 ms 332 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 340 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 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 328 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 328 KB Output is correct
13 Correct 0 ms 332 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 1 ms 352 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 388 KB Output is correct
28 Correct 1 ms 340 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 348 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct

Subtask #3
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 2 ms 340 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 352 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 388 KB Output is correct
12 Correct 1 ms 340 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 348 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 324 KB Output is correct
19 Correct 1 ms 328 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 328 KB Output is correct
24 Correct 1 ms 328 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 328 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 328 KB Output is correct
30 Correct 0 ms 332 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 468 KB Output is correct
40 Correct 1 ms 408 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 436 KB Output is correct
43 Correct 1 ms 340 KB Output is correct

Subtask #4
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 340 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 468 KB Output is correct
7 Correct 1 ms 408 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 436 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 1 ms 352 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 388 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 348 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 324 KB Output is correct
29 Correct 1 ms 328 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 328 KB Output is correct
34 Correct 1 ms 328 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 328 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 328 KB Output is correct
40 Correct 0 ms 332 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 25 ms 3824 KB Output is correct
45 Correct 26 ms 5364 KB Output is correct
46 Correct 28 ms 5324 KB Output is correct
47 Correct 27 ms 5376 KB Output is correct
48 Correct 23 ms 4332 KB Output is correct
49 Correct 25 ms 4476 KB Output is correct
50 Correct 29 ms 5324 KB Output is correct
51 Correct 29 ms 5368 KB Output is correct
52 Correct 24 ms 4312 KB Output is correct
53 Correct 18 ms 4656 KB Output is correct
54 Correct 25 ms 4452 KB Output is correct
55 Correct 25 ms 4408 KB Output is correct