oj.uz

Submission #852105

# Submission time Handle Problem Language Result Execution time Memory
852105 2023-09-21T08:34:38 Z danikoynov Chorus (JOI23_chorus) C++14
61 / 100
 7000 ms 11988 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 ll maxn = 1e6 + 10;
const ll inf = 1e18;

ll n, k;
string s;

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

*/

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


ll cost(int &left, int &right)
{
    if (left > right)
        return 0;

    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;
    }

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

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

}

/**void divide(ll row, ll left, ll right, ll optl, ll optr)
{
    if (left > right)
        return;

    ll mid = (left + right) / 2;
    ll opt = -1;
    for (ll j = optl; j <= min(optr, mid); j ++)
    {
        ll cur = dp[j - 1][row - 1] + costd[j][mid];
        if (cur < dp[mid][row])
        {
            dp[mid][row] = cur;
            opt = j;
        }
    }

    divide(row, left, mid - 1, optl, opt);
    divide(row, mid + 1, right, opt, optr);
}*/



ll dp[maxn], f[maxn];

ll get_better(int i, int j)
{
    int lf = 1, rf = n;
    while(lf <= rf)
    {
        int mf = (lf + rf) / 2;
        if (dp[i - 1] + cost(i, mf) > dp[j - 1] + cost(j, mf))
            rf = mf - 1;
        else
            lf = mf + 1;
    }

    return lf;
}
pair < ll, ll > calc_dp(ll group_cost)
{
    for (int i = 1; i <= n; i ++)
    {
        dp[i] = inf;
        f[i] = 0;
    }
    deque < int > dq;
    for (int i = 1; i <= n; i ++)
    {
        while(dq.size() > 1)
        {
            int last = dq.back();
            int bef = dq[dq.size() - 2];
            if (get_better(last, i) < get_better(bef, last))
            {
                dq.pop_back();
            }
            else
            {
                break;
            }
        }
        dq.push_back(i);

        while(dq.size() > 1)
        {
            int fs = dq[0];
            int sc = dq[1];
            if (get_better(fs, sc) <= i)
                dq.pop_front();
            else
                break;
        }

        dp[i] = dp[dq[0] - 1] + cost(dq[0], i) + group_cost;
        f[i] = f[dq[0] - 1] + 1;

        /**for (int j = 1; j <= i; j ++)
        {
            ll cur = dp[j - 1] + cost(j, i) + group_cost;
            if (cur < dp[i])
            {
                dp[i] = cur;
                f[i] = f[j - 1] + 1;
            }
        }*/
    }


    return {dp[n], f[n]};
}
void solve()
{
    cin >> n >> k >> s;

    s = "#" + s;
    ll cntA = 0, cntB = 0;
    for (ll 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 (ll i = 0; i <= n; i ++)
       // for (ll j = 0; j <= n; j ++)
         //   dp[i][j] = 4 * n * n; /// careful for overflow

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

        dp[j][1] = cr;
    }

    for (ll j = 2; j <= k; j ++)

    {
        divide(j, j, n, j, n);
    }*/


    ll lf = 0, rf = n * n / 2;
    while(lf <= rf)
    {
        ll mf = (lf + rf) / 2;
        pair < ll, ll > cur = calc_dp(mf);
        if (cur.second <= k)
            rf = mf - 1;
        else
            lf = mf + 1;
    }

    if (rf < 0)
    {
        pair < ll, ll > cur = calc_dp(0);
        cout << cur.first << endl;
        return;
    }
    pair < ll, ll > fs = calc_dp(rf);
    pair < ll, ll > ds = calc_dp(rf + 1);

    ll fs_val = fs.first - fs.second * rf;
    ll ds_val = ds.first - ds.second * (rf + 1);

    double part = (double)(fs.second - k) / (double)(fs.second - ds.second); /// remember to cast
    double ans = (double)(fs_val) + part * (double)(ds_val - fs_val);
    ///cout << ds.first << "  " << ds.second << endl;
    ///cout << fs.first << "  " << fs.second << endl;
    cout << (ll)(round(ans)) << endl;
}

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

Subtask #1
16.0 / 16.0

# 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 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 2 ms 6492 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 6492 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

Subtask #2
24.0 / 24.0

# 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 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 2 ms 6492 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 6492 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 3 ms 6492 KB Output is correct
18 Correct 13 ms 6632 KB Output is correct
19 Correct 12 ms 6488 KB Output is correct
20 Correct 9 ms 6640 KB Output is correct
21 Correct 10 ms 6632 KB Output is correct
22 Correct 8 ms 6492 KB Output is correct
23 Correct 7 ms 6636 KB Output is correct
24 Correct 15 ms 6492 KB Output is correct
25 Correct 8 ms 6492 KB Output is correct
26 Correct 9 ms 6492 KB Output is correct
27 Correct 10 ms 6632 KB Output is correct
28 Correct 10 ms 6488 KB Output is correct

Subtask #3
21.0 / 21.0

# 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 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 2 ms 6492 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 6492 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 3 ms 6492 KB Output is correct
18 Correct 13 ms 6632 KB Output is correct
19 Correct 12 ms 6488 KB Output is correct
20 Correct 9 ms 6640 KB Output is correct
21 Correct 10 ms 6632 KB Output is correct
22 Correct 8 ms 6492 KB Output is correct
23 Correct 7 ms 6636 KB Output is correct
24 Correct 15 ms 6492 KB Output is correct
25 Correct 8 ms 6492 KB Output is correct
26 Correct 9 ms 6492 KB Output is correct
27 Correct 10 ms 6632 KB Output is correct
28 Correct 10 ms 6488 KB Output is correct
29 Correct 170 ms 6708 KB Output is correct
30 Correct 255 ms 6492 KB Output is correct
31 Correct 266 ms 6740 KB Output is correct
32 Correct 206 ms 6712 KB Output is correct
33 Correct 223 ms 6492 KB Output is correct
34 Correct 149 ms 6492 KB Output is correct
35 Correct 152 ms 6492 KB Output is correct
36 Correct 323 ms 6488 KB Output is correct
37 Correct 225 ms 6724 KB Output is correct
38 Correct 166 ms 6492 KB Output is correct
39 Correct 188 ms 6492 KB Output is correct
40 Correct 185 ms 6736 KB Output is correct
41 Correct 182 ms 6492 KB Output is correct
42 Correct 197 ms 6488 KB Output is correct

Subtask #4
0 / 26.0

# 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 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 2 ms 6492 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 6492 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 3 ms 6492 KB Output is correct
18 Correct 13 ms 6632 KB Output is correct
19 Correct 12 ms 6488 KB Output is correct
20 Correct 9 ms 6640 KB Output is correct
21 Correct 10 ms 6632 KB Output is correct
22 Correct 8 ms 6492 KB Output is correct
23 Correct 7 ms 6636 KB Output is correct
24 Correct 15 ms 6492 KB Output is correct
25 Correct 8 ms 6492 KB Output is correct
26 Correct 9 ms 6492 KB Output is correct
27 Correct 10 ms 6632 KB Output is correct
28 Correct 10 ms 6488 KB Output is correct
29 Correct 170 ms 6708 KB Output is correct
30 Correct 255 ms 6492 KB Output is correct
31 Correct 266 ms 6740 KB Output is correct
32 Correct 206 ms 6712 KB Output is correct
33 Correct 223 ms 6492 KB Output is correct
34 Correct 149 ms 6492 KB Output is correct
35 Correct 152 ms 6492 KB Output is correct
36 Correct 323 ms 6488 KB Output is correct
37 Correct 225 ms 6724 KB Output is correct
38 Correct 166 ms 6492 KB Output is correct
39 Correct 188 ms 6492 KB Output is correct
40 Correct 185 ms 6736 KB Output is correct
41 Correct 182 ms 6492 KB Output is correct
42 Correct 197 ms 6488 KB Output is correct
43 Correct 6126 ms 9544 KB Output is correct
44 Execution timed out 7063 ms 11988 KB Time limit exceeded
45 Halted 0 ms 0 KB -

Subtask #5
0 / 13.0

# 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 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 2 ms 6492 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 6492 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 3 ms 6492 KB Output is correct
18 Correct 13 ms 6632 KB Output is correct
19 Correct 12 ms 6488 KB Output is correct
20 Correct 9 ms 6640 KB Output is correct
21 Correct 10 ms 6632 KB Output is correct
22 Correct 8 ms 6492 KB Output is correct
23 Correct 7 ms 6636 KB Output is correct
24 Correct 15 ms 6492 KB Output is correct
25 Correct 8 ms 6492 KB Output is correct
26 Correct 9 ms 6492 KB Output is correct
27 Correct 10 ms 6632 KB Output is correct
28 Correct 10 ms 6488 KB Output is correct
29 Correct 170 ms 6708 KB Output is correct
30 Correct 255 ms 6492 KB Output is correct
31 Correct 266 ms 6740 KB Output is correct
32 Correct 206 ms 6712 KB Output is correct
33 Correct 223 ms 6492 KB Output is correct
34 Correct 149 ms 6492 KB Output is correct
35 Correct 152 ms 6492 KB Output is correct
36 Correct 323 ms 6488 KB Output is correct
37 Correct 225 ms 6724 KB Output is correct
38 Correct 166 ms 6492 KB Output is correct
39 Correct 188 ms 6492 KB Output is correct
40 Correct 185 ms 6736 KB Output is correct
41 Correct 182 ms 6492 KB Output is correct
42 Correct 197 ms 6488 KB Output is correct
43 Correct 6126 ms 9544 KB Output is correct
44 Execution timed out 7063 ms 11988 KB Time limit exceeded
45 Halted 0 ms 0 KB -