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Submission #666570

# Submission time Handle Problem Language Result Execution time Memory
666570 2022-11-29T04:04:56 Z I_love_Chou_Giang Rabbit Carrot (LMIO19_triusis) C++14
100 / 100
 26 ms 5320 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

#define vt vector
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()

#define R_EP(i, a, b, s) for (int i = (a); (s) > 0 ? i < (b) : i > (b); i += (s))
#define R_EP1(e) R_EP(i, 0, e, 1)
#define R_EP2(i, e) R_EP(i, 0, e, 1)
#define R_EP3(i, b, e) R_EP(i, b, e, 1)
#define R_EP4(i, b, e, s) R_EP(i, b, e, s)
#define GET5(a, b, c, d, e, ...) e
#define R_EPC(...) GET5(__VA_ARGS__, R_EP4, R_EP3, R_EP2, R_EP1)
#define rep(...) R_EPC(__VA_ARGS__)(__VA_ARGS__)
#define trav(x, a) for (auto x : a) 

template<typename T> inline bool umax(T&x, const T& y) { if (x >= y) return false; x = y; return true; }
template<typename T> inline bool umin(T&x, const T& y) { if (x <= y) return false; x = y; return true; }

const int MOD = int(1e9) + 7, naxm = 200000, INF = int(1e9);

int N, M, a[naxm + 5], dp[naxm + 5];
vt<int> f;

int main() {
  ios_base::sync_with_stdio(false), cin.tie(nullptr);

  cin >> N >> M;
  rep(i, 1, N + 1) cin >> a[i];

  // maximize number of a[i] do not change
  // a[i] <= M * i => M * i - a[i] >= 0
  // a[i] <= a[j] + M * (i - j) (j < i) <=> M * j - a[j] <= M * i - a[i]
  // so we define M * x - a[x] = f[x] => f[0] >= 0 && f[x] <= f[x + 1] => longest non-decreasing subsequence

  rep(i, 1, N + 1) {
    if (M * i - a[i] >= 0) f.pb(M * i - a[i]);
  }

  vt<int> dp;
  trav(v, f) {
    int l = lower_bound(all(dp), v + 1) - dp.begin();
    if (l < sz(dp)) dp[l] = v;
    else dp.pb(v);
  }

  cout << N - sz(dp) << "\n";

  return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 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

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 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 0 ms 212 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 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 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 340 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 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 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 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 340 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 340 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 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 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 336 KB Output is correct
38 Correct 1 ms 344 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

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 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 344 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 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 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 340 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 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 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 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 0 ms 212 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 14 ms 3792 KB Output is correct
45 Correct 26 ms 2948 KB Output is correct
46 Correct 25 ms 3572 KB Output is correct
47 Correct 25 ms 3664 KB Output is correct
48 Correct 19 ms 4300 KB Output is correct
49 Correct 21 ms 4492 KB Output is correct
50 Correct 25 ms 4424 KB Output is correct
51 Correct 24 ms 5320 KB Output is correct
52 Correct 21 ms 3624 KB Output is correct
53 Correct 17 ms 2364 KB Output is correct
54 Correct 21 ms 4412 KB Output is correct
55 Correct 21 ms 4424 KB Output is correct