Submission #573587

# Submission time Handle Problem Language Result Execution time Memory
573587 2022-06-06T21:30:42 Z danikoynov Feast (NOI19_feast) C++14
41 / 100
1000 ms 5744 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 = 3e5 + 10;

int n;
ll k, a[maxn], dp[maxn], cnt[maxn], par[maxn];

pair < ll, int > calc(ll cost)
{
    for (int i = 1; i <= n; i ++)
    {
        dp[i] = dp[i - 1];
        cnt[i] = cnt[i - 1];
        for (int j = 1; j <= i; j ++)
        {
            ll sum = dp[j - 1] - cost + par[i] - par[j - 1];
            if (sum > dp[i])
                dp[i] = sum;
            if (sum == dp[i])
                cnt[i] = max(cnt[i], cnt[j - 1] + 1);
        }
    }
    pair < ll, int > ans = {dp[1], cnt[1]};
    for (int i = 2; i <= n; i ++)
        if (make_pair((ll)dp[i], (int)cnt[i]) > ans)
            ans = {dp[i], cnt[i]};
    return ans;
}
void solve()
{
    cin >> n >> k;

    ll cnt = 0;
    for (int i = 1; i <= n; i ++)
    {
        cin >> a[i];
        if (a[i] >= 0)
            cnt ++;
        par[i] = par[i - 1] + a[i];
    }
    k = min(cnt, k);

    ll lf = 0, rf = 1e12;
    while(lf <= rf)
    {
        ll mf = (lf + rf) / 2;
        pair < double, int > cur = calc(mf);
        if (cur.second >= k)
            lf = mf + 1;
        else
            rf = mf - 1;
    }

    double p1 = lf - 1, p2 = lf;
    pair < ll, int > cur1 = calc(p1), cur2 = calc(p2);
    cur1.first = cur1.first + cur1.second * p1;
    cur2.first = cur2.first + cur2.second * p2;
    double part = 1.0 - (double)(cur1.second - k) / (double)(cur1.second - cur2.second);
    double slope = (cur1.first - cur2.first);
    double ans = cur2.first + slope * part;
    ///cout << cur1.second << " " << cur2.second << " " << part << " " << cur1.second - k << " " << k << endl;
    if (cur1.second == cur2.second)
    {
        cout << cur1.first << endl;
        return;
    }
    cout << (ll)round(ans) << endl;
}

int main()
{
    solve();
    return 0;
}
/**
7 1
3 4 -1 2 3 -5 1
*/
# Verdict Execution time Memory Grader output
1 Execution timed out 1096 ms 5744 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 1084 ms 5656 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 1086 ms 5660 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 2 ms 212 KB Output is correct
12 Correct 2 ms 212 KB Output is correct
13 Correct 2 ms 212 KB Output is correct
14 Correct 2 ms 328 KB Output is correct
15 Correct 2 ms 212 KB Output is correct
16 Correct 2 ms 212 KB Output is correct
17 Correct 2 ms 212 KB Output is correct
18 Correct 2 ms 212 KB Output is correct
19 Correct 2 ms 212 KB Output is correct
20 Correct 2 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 2 ms 212 KB Output is correct
12 Correct 2 ms 212 KB Output is correct
13 Correct 2 ms 212 KB Output is correct
14 Correct 2 ms 328 KB Output is correct
15 Correct 2 ms 212 KB Output is correct
16 Correct 2 ms 212 KB Output is correct
17 Correct 2 ms 212 KB Output is correct
18 Correct 2 ms 212 KB Output is correct
19 Correct 2 ms 212 KB Output is correct
20 Correct 2 ms 212 KB Output is correct
21 Correct 69 ms 372 KB Output is correct
22 Correct 71 ms 388 KB Output is correct
23 Correct 71 ms 340 KB Output is correct
24 Correct 67 ms 400 KB Output is correct
25 Correct 76 ms 340 KB Output is correct
26 Correct 92 ms 396 KB Output is correct
27 Correct 78 ms 424 KB Output is correct
28 Correct 74 ms 392 KB Output is correct
29 Correct 69 ms 392 KB Output is correct
30 Correct 67 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 1096 ms 5744 KB Time limit exceeded
2 Halted 0 ms 0 KB -