oj.uz

Submission #852103

# Submission time Handle Problem Language Result Execution time Memory
852103 2023-09-21T08:31:14 Z danikoynov Chorus (JOI23_chorus) C++14
61 / 100
 7000 ms 12268 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(ll left, ll right)
{
    if (left > right)
        return 0;

    ll above = (left - 1) * 2;
    ll lf = left, rf = right;
    while(lf <= rf)
    {
        ll 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 * 4;
    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 6488 KB Output is correct
2 Correct 1 ms 6608 KB Output is correct
3 Correct 0 ms 6656 KB Output is correct
4 Correct 2 ms 6496 KB Output is correct
5 Correct 1 ms 6496 KB Output is correct
6 Correct 1 ms 6496 KB Output is correct
7 Correct 1 ms 6496 KB Output is correct
8 Correct 2 ms 6496 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6496 KB Output is correct
11 Correct 1 ms 6496 KB Output is correct
12 Correct 1 ms 6496 KB Output is correct
13 Correct 2 ms 6488 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 6488 KB Output is correct
2 Correct 1 ms 6608 KB Output is correct
3 Correct 0 ms 6656 KB Output is correct
4 Correct 2 ms 6496 KB Output is correct
5 Correct 1 ms 6496 KB Output is correct
6 Correct 1 ms 6496 KB Output is correct
7 Correct 1 ms 6496 KB Output is correct
8 Correct 2 ms 6496 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6496 KB Output is correct
11 Correct 1 ms 6496 KB Output is correct
12 Correct 1 ms 6496 KB Output is correct
13 Correct 2 ms 6488 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 6504 KB Output is correct
18 Correct 13 ms 6504 KB Output is correct
19 Correct 17 ms 6504 KB Output is correct
20 Correct 8 ms 6652 KB Output is correct
21 Correct 13 ms 6504 KB Output is correct
22 Correct 8 ms 6640 KB Output is correct
23 Correct 7 ms 6756 KB Output is correct
24 Correct 16 ms 6504 KB Output is correct
25 Correct 8 ms 6500 KB Output is correct
26 Correct 10 ms 6492 KB Output is correct
27 Correct 11 ms 6488 KB Output is correct
28 Correct 10 ms 6892 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6608 KB Output is correct
3 Correct 0 ms 6656 KB Output is correct
4 Correct 2 ms 6496 KB Output is correct
5 Correct 1 ms 6496 KB Output is correct
6 Correct 1 ms 6496 KB Output is correct
7 Correct 1 ms 6496 KB Output is correct
8 Correct 2 ms 6496 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6496 KB Output is correct
11 Correct 1 ms 6496 KB Output is correct
12 Correct 1 ms 6496 KB Output is correct
13 Correct 2 ms 6488 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 6504 KB Output is correct
18 Correct 13 ms 6504 KB Output is correct
19 Correct 17 ms 6504 KB Output is correct
20 Correct 8 ms 6652 KB Output is correct
21 Correct 13 ms 6504 KB Output is correct
22 Correct 8 ms 6640 KB Output is correct
23 Correct 7 ms 6756 KB Output is correct
24 Correct 16 ms 6504 KB Output is correct
25 Correct 8 ms 6500 KB Output is correct
26 Correct 10 ms 6492 KB Output is correct
27 Correct 11 ms 6488 KB Output is correct
28 Correct 10 ms 6892 KB Output is correct
29 Correct 180 ms 6716 KB Output is correct
30 Correct 264 ms 6756 KB Output is correct
31 Correct 263 ms 6488 KB Output is correct
32 Correct 176 ms 6720 KB Output is correct
33 Correct 219 ms 7000 KB Output is correct
34 Correct 141 ms 6488 KB Output is correct
35 Correct 134 ms 6488 KB Output is correct
36 Correct 327 ms 6724 KB Output is correct
37 Correct 236 ms 6720 KB Output is correct
38 Correct 179 ms 6724 KB Output is correct
39 Correct 212 ms 6736 KB Output is correct
40 Correct 172 ms 6488 KB Output is correct
41 Correct 182 ms 6492 KB Output is correct
42 Correct 189 ms 6488 KB Output is correct

Subtask #4
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6608 KB Output is correct
3 Correct 0 ms 6656 KB Output is correct
4 Correct 2 ms 6496 KB Output is correct
5 Correct 1 ms 6496 KB Output is correct
6 Correct 1 ms 6496 KB Output is correct
7 Correct 1 ms 6496 KB Output is correct
8 Correct 2 ms 6496 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6496 KB Output is correct
11 Correct 1 ms 6496 KB Output is correct
12 Correct 1 ms 6496 KB Output is correct
13 Correct 2 ms 6488 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 6504 KB Output is correct
18 Correct 13 ms 6504 KB Output is correct
19 Correct 17 ms 6504 KB Output is correct
20 Correct 8 ms 6652 KB Output is correct
21 Correct 13 ms 6504 KB Output is correct
22 Correct 8 ms 6640 KB Output is correct
23 Correct 7 ms 6756 KB Output is correct
24 Correct 16 ms 6504 KB Output is correct
25 Correct 8 ms 6500 KB Output is correct
26 Correct 10 ms 6492 KB Output is correct
27 Correct 11 ms 6488 KB Output is correct
28 Correct 10 ms 6892 KB Output is correct
29 Correct 180 ms 6716 KB Output is correct
30 Correct 264 ms 6756 KB Output is correct
31 Correct 263 ms 6488 KB Output is correct
32 Correct 176 ms 6720 KB Output is correct
33 Correct 219 ms 7000 KB Output is correct
34 Correct 141 ms 6488 KB Output is correct
35 Correct 134 ms 6488 KB Output is correct
36 Correct 327 ms 6724 KB Output is correct
37 Correct 236 ms 6720 KB Output is correct
38 Correct 179 ms 6724 KB Output is correct
39 Correct 212 ms 6736 KB Output is correct
40 Correct 172 ms 6488 KB Output is correct
41 Correct 182 ms 6492 KB Output is correct
42 Correct 189 ms 6488 KB Output is correct
43 Correct 6131 ms 9660 KB Output is correct
44 Execution timed out 7025 ms 12268 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 6488 KB Output is correct
2 Correct 1 ms 6608 KB Output is correct
3 Correct 0 ms 6656 KB Output is correct
4 Correct 2 ms 6496 KB Output is correct
5 Correct 1 ms 6496 KB Output is correct
6 Correct 1 ms 6496 KB Output is correct
7 Correct 1 ms 6496 KB Output is correct
8 Correct 2 ms 6496 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6496 KB Output is correct
11 Correct 1 ms 6496 KB Output is correct
12 Correct 1 ms 6496 KB Output is correct
13 Correct 2 ms 6488 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 6504 KB Output is correct
18 Correct 13 ms 6504 KB Output is correct
19 Correct 17 ms 6504 KB Output is correct
20 Correct 8 ms 6652 KB Output is correct
21 Correct 13 ms 6504 KB Output is correct
22 Correct 8 ms 6640 KB Output is correct
23 Correct 7 ms 6756 KB Output is correct
24 Correct 16 ms 6504 KB Output is correct
25 Correct 8 ms 6500 KB Output is correct
26 Correct 10 ms 6492 KB Output is correct
27 Correct 11 ms 6488 KB Output is correct
28 Correct 10 ms 6892 KB Output is correct
29 Correct 180 ms 6716 KB Output is correct
30 Correct 264 ms 6756 KB Output is correct
31 Correct 263 ms 6488 KB Output is correct
32 Correct 176 ms 6720 KB Output is correct
33 Correct 219 ms 7000 KB Output is correct
34 Correct 141 ms 6488 KB Output is correct
35 Correct 134 ms 6488 KB Output is correct
36 Correct 327 ms 6724 KB Output is correct
37 Correct 236 ms 6720 KB Output is correct
38 Correct 179 ms 6724 KB Output is correct
39 Correct 212 ms 6736 KB Output is correct
40 Correct 172 ms 6488 KB Output is correct
41 Correct 182 ms 6492 KB Output is correct
42 Correct 189 ms 6488 KB Output is correct
43 Correct 6131 ms 9660 KB Output is correct
44 Execution timed out 7025 ms 12268 KB Time limit exceeded
45 Halted 0 ms 0 KB -