oj.uz

Submission #1055222

# Submission time Handle Problem Language Result Execution time Memory
1055222 2024-08-12T15:33:19 Z j_vdd16 Copy and Paste 3 (JOI22_copypaste3) C++17
15 / 100
 3000 ms 917296 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
        //         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 0 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 3 ms 1048 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Execution timed out 3127 ms 917296 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 3 ms 1116 KB Output is correct
13 Correct 3 ms 1112 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 3 ms 1096 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 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 36 ms 7624 KB Output is correct
22 Correct 15 ms 4188 KB Output is correct
23 Correct 10 ms 3096 KB Output is correct
24 Correct 7 ms 2396 KB Output is correct
25 Correct 8 ms 2396 KB Output is correct
26 Correct 5 ms 1880 KB Output is correct
27 Correct 26 ms 7224 KB Output is correct
28 Correct 33 ms 7544 KB Output is correct
29 Correct 15 ms 4444 KB Output is correct
30 Correct 15 ms 4296 KB Output is correct
31 Correct 18 ms 5400 KB Output is correct
32 Correct 20 ms 5468 KB Output is correct
33 Correct 6 ms 2140 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 35 ms 7760 KB Output is correct

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 3 ms 1116 KB Output is correct
13 Correct 3 ms 1112 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 3 ms 1096 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 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 36 ms 7624 KB Output is correct
22 Correct 15 ms 4188 KB Output is correct
23 Correct 10 ms 3096 KB Output is correct
24 Correct 7 ms 2396 KB Output is correct
25 Correct 8 ms 2396 KB Output is correct
26 Correct 5 ms 1880 KB Output is correct
27 Correct 26 ms 7224 KB Output is correct
28 Correct 33 ms 7544 KB Output is correct
29 Correct 15 ms 4444 KB Output is correct
30 Correct 15 ms 4296 KB Output is correct
31 Correct 18 ms 5400 KB Output is correct
32 Correct 20 ms 5468 KB Output is correct
33 Correct 6 ms 2140 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 35 ms 7760 KB Output is correct
40 Correct 593 ms 111952 KB Output is correct
41 Execution timed out 3028 ms 364204 KB Time limit exceeded
42 Halted 0 ms 0 KB -

Subtask #5
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 3 ms 1116 KB Output is correct
13 Correct 3 ms 1112 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 3 ms 1096 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 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 36 ms 7624 KB Output is correct
22 Correct 15 ms 4188 KB Output is correct
23 Correct 10 ms 3096 KB Output is correct
24 Correct 7 ms 2396 KB Output is correct
25 Correct 8 ms 2396 KB Output is correct
26 Correct 5 ms 1880 KB Output is correct
27 Correct 26 ms 7224 KB Output is correct
28 Correct 33 ms 7544 KB Output is correct
29 Correct 15 ms 4444 KB Output is correct
30 Correct 15 ms 4296 KB Output is correct
31 Correct 18 ms 5400 KB Output is correct
32 Correct 20 ms 5468 KB Output is correct
33 Correct 6 ms 2140 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 35 ms 7760 KB Output is correct
40 Correct 593 ms 111952 KB Output is correct
41 Execution timed out 3028 ms 364204 KB Time limit exceeded
42 Halted 0 ms 0 KB -

Subtask #6
0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 3 ms 1048 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Execution timed out 3127 ms 917296 KB Time limit exceeded
14 Halted 0 ms 0 KB -