oj.uz

Submission #1055223

# Submission time Handle Problem Language Result Execution time Memory
1055223 2024-08-12T15:34:13 Z j_vdd16 Copy and Paste 3 (JOI22_copypaste3) C++17
15 / 100
 3000 ms 917248 KB 
#include <algorithm>
#include <bitset>
#include <cstdint>
#include <cstring>
#include <iostream>
#include <limits.h>
#include <math.h>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <vector>

#define int long long
#define loop(X, N) for(int X = 0; X < (N); X++)
#define all(V) V.begin(), V.end()
#define rall(V) V.rbegin(), V.rend()

using namespace std;

typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> ii;
typedef vector<ii> vii;
typedef vector<vector<ii>> vvii;
typedef vector<bool> vb;
typedef vector<vector<bool>> vvb;

typedef uint64_t u64;
typedef int64_t i64;

int n;
string s;
int A, B, C;
int maxCost;

vector<vvb> isEqualSubstring;
vvi substringCount;
map<pair<ii, ii>, int> memoize;
int solve(int a, int b, int c, int d) {
    if (a == b) {
        a = 0;
        b = 0;
    }
    if (c == d) {
        c = 0;
        d = 0;
    }

    if (d - c == 0) return (b - a) * A;

    if (memoize.count({{a, b}, {c, d}})) 
        return memoize[{{a, b}, {c, d}}];

    /*
    [a, b, c, d] depends on:
    [a, x < b, c, d]
    
    [0, 0, c, d] depends on:
    [c, d, x < c, x <= y < d] && y - x < d - c
    
    */

    int res = maxCost;
    if (b - 1 >= a)
        res = min(res, solve(a, b - 1, c, d) + A);
    
    if (b - (d - c) >= a && d > c && isEqualSubstring[c][d][b - (d - c)]) {
        res = min(res, solve(a, b - (d - c), c, d) + C);
    }
    
    if (a == 0 && b == 0) {
        loop(x, c) {
            for (int y = x; y < x + d - c; y++) { //y - x < d - c
                if (substringCount[x][y] <= 1 && y > x) continue;
                
                res = min(res, solve(c, d, x, y) + B);
            }
        }
        // for (int x = c; x <= d; x++) {
        //     for (int y = x; y < d; y++) { //y - x < d - c
        //         if (substringCount[x][y] <= 1 && y > x) continue;

        //         res = min(res, solve(c, d, x, y) + B);
        //     }
        // }
    }

    memoize[{{a, b}, {c, d}}] = res;
    return res;
}

vector<vector<vvi>> dp;
int& get(int a, int b, int c, int d) {
    if (a == b) {
        a = 0;
        b = 0;
    }
    if (c == d) {
        c = 0;
        d = 0;
    }

    return dp[a][b][c][d];
}

signed main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);

    //dp cost of building S[a, b] with S[c, d] in clipboard

    cin >> n;

    cin >> s;

    cin >> A >> B >> C;

    maxCost = max({A, B, C}) * n;

    isEqualSubstring = vector<vvb>(n + 1, vvb(n + 1, vb(n + 1)));
    loop(i, n) {
        loop(j, n) {
            int sz = 1;
            while (max(i, j) + sz <= n && s[i + sz - 1] == s[j + sz - 1]) {
                isEqualSubstring[i][i + sz][j] = true;
                sz++;
            }
        }
    }

    substringCount = vvi(n + 1, vi(n + 1));
    loop(i, n + 1) {
        for (int j = i + 1; j < n + 1; j++) {
            int start = 0;
            while (start < n) {
                if (isEqualSubstring[i][j][start]) {
                    start += j - i;
                    substringCount[i][j]++;
                }
                else {
                    start++;
                }
            }
        }
    }
    
    int result = maxCost;
    loop(c, n + 1) {
        for (int d = c; d < n + 1; d++) {
            //result = min(result, dp[0][n][c][d]);
            result = min(result, solve(0, n, c, d));
        }
    }

    cout << result << endl;

    /*
    dp[a][b][c][d]
    */
    // loop(i, n) {
    //     dp[i][i][n][n] = A;
    // }
    // for (int i = 1; i <= 2 * n; i++) {

    // }

    /*
    dp[a][b][c][d]

    dp[a][b][c][d] = min(dp[a][b][c][d], dp[a][b - 1][c][d] + A)
    dp[0][0][c][d] = min(dp[c][d][a][b] + B)

    if (s[b-(d-c), b] == s[c, d]) dp[a][b][c][d] = min(dp[a][b][c][d], dp[a][b-(d-c)][c][d] + C)

    */
    // dp = vector<vector<vvi>>(n + 1, vector<vvi>(n + 1, vvi(n + 1, vi(n + 1, maxCost))));

    // dp[0][0][0][0] = 0;
    // loop(c, n + 1) {
    //     for (int d = c; d < n + 1; d++) {
    //         loop(a, n + 1) {
    //             for (int b = a; b < n + 1; b++) {
    //                 /*
    //                 [a, b, c, d] depends on:
    //                 [a, x < b, c, d]
                    
    //                 [0, 0, a, b] depends on:
    //                 [a, b, c, y <= b]
                    
    //                 */

    //                 if (b - 1 >= a)
    //                     get(a, b, c, d) = min(get(a, b, c, d), get(a, b - 1, c, d) + A);
                    
    //                 if (b - (d - c) >= a && d > c && s.substr(b - (d - c), d - c) == s.substr(c, d - c)) {
    //                     get(a, b, c, d) = min(get(a, b, c, d), get(a, b - (d - c), c, d) + C);
    //                 }
                    
    //                 if (d <= b)
    //                     get(0, 0, a, b) = min(get(0, 0, a, b), get(a, b, c, d) + B);
    //             }
    //         }
    //     }
    // }

    return 0;

    // vvi cost(n + 1, vi(n + 1, maxCost));
    // cost[0][0] = 0;
    
    // //cost[0][j] = min(cost[j][i] + B)
    // //cost[i][j] = min(cost[i - j][j] + C, cost[i - 1][j] + A)
    // loop(i, n + 1) {
    //     loop(j, n + 1) {
    //         if (i - 1 >= 0) cost[i][j] = min(cost[i][j], cost[i - 1][j] + A);
    //         if (i - j >= 0) cost[i][j] = min(cost[i][j], cost[i - j][j] + C);

    //         cost[0][i] = min(cost[0][i], cost[i][j] + B);
    //     }
    // }

    // int result = maxCost;
    // loop(j, n + 1) {
    //     result = min(result, cost[n][j]);
    // }

    // cout << result << endl;

	// return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #2
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Execution timed out 3129 ms 917248 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 2 ms 860 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 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 23 ms 5724 KB Output is correct
22 Correct 10 ms 3164 KB Output is correct
23 Correct 6 ms 2396 KB Output is correct
24 Correct 6 ms 2140 KB Output is correct
25 Correct 4 ms 1884 KB Output is correct
26 Correct 4 ms 1628 KB Output is correct
27 Correct 18 ms 5164 KB Output is correct
28 Correct 19 ms 5540 KB Output is correct
29 Correct 11 ms 3420 KB Output is correct
30 Correct 12 ms 3676 KB Output is correct
31 Correct 13 ms 4164 KB Output is correct
32 Correct 13 ms 4184 KB Output is correct
33 Correct 4 ms 1884 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 23 ms 5664 KB Output is correct

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 2 ms 860 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 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 23 ms 5724 KB Output is correct
22 Correct 10 ms 3164 KB Output is correct
23 Correct 6 ms 2396 KB Output is correct
24 Correct 6 ms 2140 KB Output is correct
25 Correct 4 ms 1884 KB Output is correct
26 Correct 4 ms 1628 KB Output is correct
27 Correct 18 ms 5164 KB Output is correct
28 Correct 19 ms 5540 KB Output is correct
29 Correct 11 ms 3420 KB Output is correct
30 Correct 12 ms 3676 KB Output is correct
31 Correct 13 ms 4164 KB Output is correct
32 Correct 13 ms 4184 KB Output is correct
33 Correct 4 ms 1884 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 23 ms 5664 KB Output is correct
40 Correct 357 ms 76272 KB Output is correct
41 Execution timed out 3057 ms 436736 KB Time limit exceeded
42 Halted 0 ms 0 KB -

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 2 ms 860 KB Output is correct
13 Correct 2 ms 860 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 2 ms 860 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 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 23 ms 5724 KB Output is correct
22 Correct 10 ms 3164 KB Output is correct
23 Correct 6 ms 2396 KB Output is correct
24 Correct 6 ms 2140 KB Output is correct
25 Correct 4 ms 1884 KB Output is correct
26 Correct 4 ms 1628 KB Output is correct
27 Correct 18 ms 5164 KB Output is correct
28 Correct 19 ms 5540 KB Output is correct
29 Correct 11 ms 3420 KB Output is correct
30 Correct 12 ms 3676 KB Output is correct
31 Correct 13 ms 4164 KB Output is correct
32 Correct 13 ms 4184 KB Output is correct
33 Correct 4 ms 1884 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 23 ms 5664 KB Output is correct
40 Correct 357 ms 76272 KB Output is correct
41 Execution timed out 3057 ms 436736 KB Time limit exceeded
42 Halted 0 ms 0 KB -

Subtask #6
0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 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 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 2 ms 860 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Execution timed out 3129 ms 917248 KB Time limit exceeded
14 Halted 0 ms 0 KB -