Submission #850886

# Submission time Handle Problem Language Result Execution time Memory
850886 2023-09-17T16:22:14 Z danikoynov Chorus (JOI23_chorus) C++14
40 / 100
7000 ms 98896 KB
/**
 ____ ____ ____ ____ ____ ____
||l |||e |||i |||n |||a |||d ||
||__|||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|/__\|

**/

#include<bits/stdc++.h>
#define endl '\n'

using namespace std;
typedef long long ll;

void speed()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
}

const int maxn = 5100;
int n, k;
string s;

int dp[maxn][maxn], pos[2][maxn], pref[maxn];
/**

*/

void chmin(int &var, int val) /// careful for long long
{
    var = min(var, val);
}

///int cost[maxn][maxn];

void precalc()
{
    for (int j = 1; j <= n; j ++)
    {
        int tk = 0;
        for (int fix = 1; fix <= n - j; fix ++)
        {
                if (pos[0][fix + j] > j * 2 + fix)
                    tk += pos[0][fix + j] - (j * 2 + fix);
            ///cost[j + 1][j + fix] = tk;
        }
    }
}

int cost(int left, int right)
{
    int above = (left - 1) * 2;
    int lf = left, rf = right;
    while(lf <= rf)
    {
        int mf = (lf + rf) / 2;
        if (pos[0][mf] > above + (mf - left + 1))
            rf = mf - 1;
        else
            lf = mf + 1;
    }

    int sum = pref[right] - pref[lf - 1];
    sum = sum - (right - lf + 1) * above;
    int len = right - left + 1;
    int sm = lf - left;
    sum = sum - (len) * (len + 1) / 2;
    sum = sum + (sm) * (sm + 1) / 2;
    /**for (int i = lf; i <= right; i ++)
    {

            sum = sum + pos[0][i] - (above + (i - left + 1));
    }*/
    return sum;

}
void solve()
{
    cin >> n >> k >> s;

    s = "#" + s;
    int cntA = 0, cntB = 0;
    for (int i = 1; i <= 2 * n; i ++)
    {
        if (s[i] == 'A')
        {
            cntA ++;
            pos[0][cntA] = i;
            pref[cntA] = pref[cntA - 1] + i;
        }
        else
        {
            cntB ++;
            pos[1][cntB] = i;
        }
    }

    for (int i = 0; i <= n; i ++)
        for (int j = 0; j <= n; j ++)
        dp[i][j] = 4 * n * n; /// careful for overflow

 precalc();

        int cr = 0;
    for (int j = 1; j <= n; j ++)
    {
        cr = cr + pos[0][j] - j;

        dp[j][1] = cr;
    }

    for (int i = 1; i <= n; i ++)
        for (int j = 2; j <= k; j ++)
    {
        for (int fix = 1; fix <= i; fix ++)
        {
            if (dp[i - fix][j - 1] != 4 * n * n)
            {
                dp[i][j] = min(dp[i][j], dp[i - fix][j - 1] + cost(i - fix + 1, i));
            }
        }
    }


    int ans = 4 * n * n;
    for (int i = 1; i <= k; i ++)
        ans = min(ans, dp[n][i]);
    cout << ans << endl;
}

int main()
{
    ///freopen("test.txt", "r", stdin);
    solve();
    return 0;
}

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 9 ms 4572 KB Output is correct
18 Correct 132 ms 10840 KB Output is correct
19 Correct 263 ms 10588 KB Output is correct
20 Correct 1 ms 10588 KB Output is correct
21 Correct 3 ms 10588 KB Output is correct
22 Correct 288 ms 10720 KB Output is correct
23 Correct 280 ms 10588 KB Output is correct
24 Correct 20 ms 10584 KB Output is correct
25 Correct 312 ms 10712 KB Output is correct
26 Correct 299 ms 10788 KB Output is correct
27 Correct 201 ms 10584 KB Output is correct
28 Correct 205 ms 10712 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 9 ms 4572 KB Output is correct
18 Correct 132 ms 10840 KB Output is correct
19 Correct 263 ms 10588 KB Output is correct
20 Correct 1 ms 10588 KB Output is correct
21 Correct 3 ms 10588 KB Output is correct
22 Correct 288 ms 10720 KB Output is correct
23 Correct 280 ms 10588 KB Output is correct
24 Correct 20 ms 10584 KB Output is correct
25 Correct 312 ms 10712 KB Output is correct
26 Correct 299 ms 10788 KB Output is correct
27 Correct 201 ms 10584 KB Output is correct
28 Correct 205 ms 10712 KB Output is correct
29 Execution timed out 7017 ms 98896 KB Time limit exceeded
30 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 9 ms 4572 KB Output is correct
18 Correct 132 ms 10840 KB Output is correct
19 Correct 263 ms 10588 KB Output is correct
20 Correct 1 ms 10588 KB Output is correct
21 Correct 3 ms 10588 KB Output is correct
22 Correct 288 ms 10720 KB Output is correct
23 Correct 280 ms 10588 KB Output is correct
24 Correct 20 ms 10584 KB Output is correct
25 Correct 312 ms 10712 KB Output is correct
26 Correct 299 ms 10788 KB Output is correct
27 Correct 201 ms 10584 KB Output is correct
28 Correct 205 ms 10712 KB Output is correct
29 Execution timed out 7017 ms 98896 KB Time limit exceeded
30 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 9 ms 4572 KB Output is correct
18 Correct 132 ms 10840 KB Output is correct
19 Correct 263 ms 10588 KB Output is correct
20 Correct 1 ms 10588 KB Output is correct
21 Correct 3 ms 10588 KB Output is correct
22 Correct 288 ms 10720 KB Output is correct
23 Correct 280 ms 10588 KB Output is correct
24 Correct 20 ms 10584 KB Output is correct
25 Correct 312 ms 10712 KB Output is correct
26 Correct 299 ms 10788 KB Output is correct
27 Correct 201 ms 10584 KB Output is correct
28 Correct 205 ms 10712 KB Output is correct
29 Execution timed out 7017 ms 98896 KB Time limit exceeded
30 Halted 0 ms 0 KB -