Submission #938521

# Submission time Handle Problem Language Result Execution time Memory
938521 2024-03-05T08:41:20 Z Ice_man Chorus (JOI23_chorus) C++14
40 / 100
1941 ms 359080 KB
#include <iostream>
#include <chrono>

#define maxn 5005
#define maxlog 20
#define INF 1000000010
#define LINF 1000000000000000005
#define endl '\n'
#define pb(x) push_back(x)
#define X first
#define Y second
#define control cout<<"passed"<<endl;

#pragma GCC optimize("O3" , "Ofast" , "unroll-loops" , "fast-math")
#pragma GCC target("avx2")

using namespace std;

std::chrono::high_resolution_clock::time_point startT, currT;
constexpr double TIME_MULT = 1;

double timePassed()
{
    using namespace std::chrono;
    currT = high_resolution_clock::now();
    double time = duration_cast<duration<double>>(currT - startT).count();
    return time * TIME_MULT;
}


int n, k;
string s;

void read()
{
    cin >> n >> k;
    cin >> s;

    n *= 2;
    s = ' ' + s;
}


int pref[2][maxn][maxn];
int pom[maxn];


void math()
{
    for(int i = 1; i <= n; i++)
    {
        if(s[i] == 'A')
            pom[i] = 1;
        else
            pom[i] = -1;
        pom[i] += pom[i - 1];
    }


    for(int i = 0; i < n / 2 + 1; i++)
        for(int j = 1; j <= n; j++)
        {
            pref[0][i][j] = pref[1][i][j] = max(0 , i - pom[j]);

            if(i == 0)
                continue;

            pref[0][i][j] += pref[0][i - 1][j - 1];
            pref[1][i][j] += pref[1][i - 1][j + 1];
        }
}



int dp[maxn][maxn], a[maxn];
int bra, brb;

int calc(int l, int r)
{
    if((r - l + 1) % 2 == 1)
        return INF;

    int ret = 0;
    int len = r - l + 1;
    int mid = (l + r) / 2;

    ret += pref[0][len / 2][mid];
    ret -= pref[0][0][mid - len / 2];
    ret += pref[1][len / 2 - 1][mid + 1];
    ret /= 2;

    return ret;

    /**int ret = 0;

    for(int i = y + 1; i <= x; i++)
        if(a[i] >= y)
            ret += a[i] - y;

    return ret;*/
}


int dp2[maxn][maxn];

void divide(int ansl, int ansr, int l, int r, int son)
{
    if(l > r)
        return;

    int pos = l + r;
    if((l + r) % 2 == 1)
        pos--;

    ///cout << pos << endl;

    dp2[pos][son] = ansr;
    dp[pos][son] = INF;

    for(int i = min(ansr , pos); i >= ansl; i--)
        if(dp[pos][son] > dp[i - 1][son - 1] + calc(i, pos))
        {
            dp[pos][son] = dp[i - 1][son - 1] + calc(i, pos);
            dp2[pos][son] = i;
        }

    int mid = pos / 2;

    divide(ansl, dp2[pos][son], l, mid - 1, son);
    divide(dp2[pos][son], ansr, mid + 1, r, son);
}

int ans = INF;

void solve()
{
    ans = INF;
    for(int i = 1; i <= n; i++)
        dp[i][0] = INF;

    for(int i = 1; i <= k; i++)
    {
        divide(1, n, 1, n / 2, i);
        ans = min(ans, dp[n][i]);
    }

    cout << ans << endl;
}



/**void calc_dp()
{
    bra = 0;
    brb = 0;

    for(char c : s)
        if(c == 'A')
        {
            bra++;
            a[bra] = brb;
        }
        else
            brb++;
*/
    /**for(int i = 0; i < 2 * n; i++)
        cout << a[i] << " ";
    cout << endl;

    cout << bra << " " << brb << endl;*/

/**for(int i = 0; i <= k; i++)
    for(int j = 0; j <= n; j++)
        dp[i][j] = INF;

dp[0][0] = 0;

for(int i = 1; i <= k; i++)
    for(int j = 1; j <= n; j++)
        for(int _k = 0; _k < j; _k++)
        {
            ///cout << calc(_k , j) << endl;
            dp[i][j] = min(dp[i][j] , dp[i - 1][_k] + calc(_k , j));
        }


cout << dp[k][n] << endl;
}*/




int main()
{

    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    startT = std::chrono::high_resolution_clock::now();

    read();
    math();
    solve();


    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 6488 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6488 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 6488 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6488 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 4 ms 27224 KB Output is correct
18 Correct 20 ms 66396 KB Output is correct
19 Correct 16 ms 66392 KB Output is correct
20 Correct 9 ms 66652 KB Output is correct
21 Correct 8 ms 66396 KB Output is correct
22 Correct 24 ms 66588 KB Output is correct
23 Correct 23 ms 66396 KB Output is correct
24 Correct 13 ms 66396 KB Output is correct
25 Correct 22 ms 66396 KB Output is correct
26 Correct 21 ms 66396 KB Output is correct
27 Correct 14 ms 66584 KB Output is correct
28 Correct 13 ms 66580 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 6488 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6488 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 4 ms 27224 KB Output is correct
18 Correct 20 ms 66396 KB Output is correct
19 Correct 16 ms 66392 KB Output is correct
20 Correct 9 ms 66652 KB Output is correct
21 Correct 8 ms 66396 KB Output is correct
22 Correct 24 ms 66588 KB Output is correct
23 Correct 23 ms 66396 KB Output is correct
24 Correct 13 ms 66396 KB Output is correct
25 Correct 22 ms 66396 KB Output is correct
26 Correct 21 ms 66396 KB Output is correct
27 Correct 14 ms 66584 KB Output is correct
28 Correct 13 ms 66580 KB Output is correct
29 Incorrect 1941 ms 359080 KB Output isn't correct
30 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 6488 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6488 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 4 ms 27224 KB Output is correct
18 Correct 20 ms 66396 KB Output is correct
19 Correct 16 ms 66392 KB Output is correct
20 Correct 9 ms 66652 KB Output is correct
21 Correct 8 ms 66396 KB Output is correct
22 Correct 24 ms 66588 KB Output is correct
23 Correct 23 ms 66396 KB Output is correct
24 Correct 13 ms 66396 KB Output is correct
25 Correct 22 ms 66396 KB Output is correct
26 Correct 21 ms 66396 KB Output is correct
27 Correct 14 ms 66584 KB Output is correct
28 Correct 13 ms 66580 KB Output is correct
29 Incorrect 1941 ms 359080 KB Output isn't correct
30 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 6488 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6488 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 1 ms 6492 KB Output is correct
15 Correct 1 ms 6492 KB Output is correct
16 Correct 1 ms 6492 KB Output is correct
17 Correct 4 ms 27224 KB Output is correct
18 Correct 20 ms 66396 KB Output is correct
19 Correct 16 ms 66392 KB Output is correct
20 Correct 9 ms 66652 KB Output is correct
21 Correct 8 ms 66396 KB Output is correct
22 Correct 24 ms 66588 KB Output is correct
23 Correct 23 ms 66396 KB Output is correct
24 Correct 13 ms 66396 KB Output is correct
25 Correct 22 ms 66396 KB Output is correct
26 Correct 21 ms 66396 KB Output is correct
27 Correct 14 ms 66584 KB Output is correct
28 Correct 13 ms 66580 KB Output is correct
29 Incorrect 1941 ms 359080 KB Output isn't correct
30 Halted 0 ms 0 KB -