oj.uz

Submission #415902

# Submission time Handle Problem Language Result Execution time Memory
415902 2021-06-01T16:57:20 Z meatrow Group Photo (JOI21_ho_t3) C++17
100 / 100
 1031 ms 263380 KB 
// #pragma GCC target ("avx2")
// #pragma GCC optimization ("O3")
#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using ld = long double;

const int MOD = 1e9 + 7;

ll binpow(ll a, ll p, int mod = MOD) {
    ll res = 1;
    while (p) {
        if (p & 1) {
            (res *= a) %= mod;
        }
        p >>= 1;
        (a *= a) %= mod;
    }
    return res;
}

ll gcd(ll a, ll b) {
    return b == 0 ? a : gcd(b, a % b);
}

const int N = 5005;

int dist[N][N];
int nxt[N][N], prv[N][N];
int dp[N];
int a[N], pos[N];

void solve() {
    int n;
    cin >> n;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
        pos[a[i]] = i;
    }

    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= n; j++) {
            if (pos[j] > pos[i]) {
                nxt[i][j] = 1;
            }
            if (pos[j] < pos[i]) {
                prv[i][j] = 1;
            }
        }
        for (int j = 1; j <= n; j++) {
            nxt[i][j] += nxt[i][j - 1];
            prv[i][j] += prv[i][j - 1];
        }
    }

    for (int i = 1; i <= n; i++) {
        dist[i][i] = prv[i][n] - prv[i][i];
    }
    
    for (int len = 2; len <= n; len++) {
        for (int i = 1; i <= n - len + 1; i++) {
            int j = i + len - 1;
            dist[i][j] = dist[i][j - 1] + (prv[j][n] - prv[j][i - 1]) - (nxt[j][j - 1] - nxt[j][i - 1]);
        }
    }

    for (int i = 1; i <= n; i++) {
        dp[i] = 1e9;
        for (int j = 0; j < i; j++) {
            dp[i] = min(dp[i], dp[j] + dist[j + 1][i]);
        }
    }

    cout << dp[n] << '\n';
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int T = 1;
    // cin >> T;
    for (int tc = 1; tc <= T; tc++) {
        // cout << "Case #" << tc << ": ";
        solve();
    }
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 456 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 588 KB Output is correct
16 Correct 2 ms 588 KB Output is correct
17 Correct 2 ms 460 KB Output is correct
18 Correct 2 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 456 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 588 KB Output is correct
16 Correct 2 ms 588 KB Output is correct
17 Correct 2 ms 460 KB Output is correct
18 Correct 2 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 2 ms 3020 KB Output is correct
22 Correct 4 ms 3136 KB Output is correct
23 Correct 4 ms 3148 KB Output is correct
24 Correct 3 ms 3148 KB Output is correct
25 Correct 3 ms 3136 KB Output is correct
26 Correct 3 ms 3148 KB Output is correct
27 Correct 3 ms 3148 KB Output is correct
28 Correct 5 ms 3148 KB Output is correct
29 Correct 3 ms 3148 KB Output is correct
30 Correct 2 ms 3148 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 456 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 588 KB Output is correct
16 Correct 2 ms 588 KB Output is correct
17 Correct 2 ms 460 KB Output is correct
18 Correct 2 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 2 ms 3020 KB Output is correct
22 Correct 4 ms 3136 KB Output is correct
23 Correct 4 ms 3148 KB Output is correct
24 Correct 3 ms 3148 KB Output is correct
25 Correct 3 ms 3136 KB Output is correct
26 Correct 3 ms 3148 KB Output is correct
27 Correct 3 ms 3148 KB Output is correct
28 Correct 5 ms 3148 KB Output is correct
29 Correct 3 ms 3148 KB Output is correct
30 Correct 2 ms 3148 KB Output is correct
31 Correct 20 ms 16204 KB Output is correct
32 Correct 19 ms 16204 KB Output is correct
33 Correct 21 ms 16260 KB Output is correct
34 Correct 24 ms 16280 KB Output is correct
35 Correct 23 ms 16232 KB Output is correct
36 Correct 21 ms 16196 KB Output is correct
37 Correct 25 ms 16256 KB Output is correct
38 Correct 27 ms 16208 KB Output is correct
39 Correct 26 ms 16176 KB Output is correct
40 Correct 21 ms 16176 KB Output is correct

Subtask #5
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 2 ms 460 KB Output is correct
9 Correct 2 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 456 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 588 KB Output is correct
16 Correct 2 ms 588 KB Output is correct
17 Correct 2 ms 460 KB Output is correct
18 Correct 2 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 2 ms 3020 KB Output is correct
22 Correct 4 ms 3136 KB Output is correct
23 Correct 4 ms 3148 KB Output is correct
24 Correct 3 ms 3148 KB Output is correct
25 Correct 3 ms 3136 KB Output is correct
26 Correct 3 ms 3148 KB Output is correct
27 Correct 3 ms 3148 KB Output is correct
28 Correct 5 ms 3148 KB Output is correct
29 Correct 3 ms 3148 KB Output is correct
30 Correct 2 ms 3148 KB Output is correct
31 Correct 20 ms 16204 KB Output is correct
32 Correct 19 ms 16204 KB Output is correct
33 Correct 21 ms 16260 KB Output is correct
34 Correct 24 ms 16280 KB Output is correct
35 Correct 23 ms 16232 KB Output is correct
36 Correct 21 ms 16196 KB Output is correct
37 Correct 25 ms 16256 KB Output is correct
38 Correct 27 ms 16208 KB Output is correct
39 Correct 26 ms 16176 KB Output is correct
40 Correct 21 ms 16176 KB Output is correct
41 Correct 971 ms 263084 KB Output is correct
42 Correct 987 ms 263108 KB Output is correct
43 Correct 1010 ms 263108 KB Output is correct
44 Correct 955 ms 263204 KB Output is correct
45 Correct 1006 ms 263100 KB Output is correct
46 Correct 984 ms 263280 KB Output is correct
47 Correct 955 ms 263240 KB Output is correct
48 Correct 974 ms 263260 KB Output is correct
49 Correct 1024 ms 263260 KB Output is correct
50 Correct 942 ms 263188 KB Output is correct
51 Correct 999 ms 263380 KB Output is correct
52 Correct 1031 ms 263188 KB Output is correct
53 Correct 917 ms 263212 KB Output is correct
54 Correct 924 ms 263176 KB Output is correct
55 Correct 942 ms 263348 KB Output is correct