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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#353180#958. Lockout vs touristHKOI0#TL 1807ms20412kbC++201.5kb2024-03-13 22:34:542024-03-13 22:34:54

Judging History

This is the latest submission verdict.

  • [2024-03-13 22:34:54]
  • Judged
  • Verdict: TL
  • Time: 1807ms
  • Memory: 20412kb
  • [2024-03-13 22:34:54]
  • Submitted

answer

#include <bits/stdc++.h>

using namespace std;
using ll = long long;

typedef long double LD;

LD dp[1 << 22];
int a[22];
void solve() {
    int n; cin >> n;
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    for (int msk = 1; msk < (1 << n); msk++) {
        vector<pair<LD, LD>> win;
        for (int j = 0; j < n; j++) {
            if (msk & (1 << j)) {
                win.push_back({dp[msk ^ (1 << j)], a[j]});
            }
        }

        sort(win.begin(), win.end(), [](auto a, auto b){
            return a.first > b.first;
        });

        LD lo = 0, hi = 1e9;
        while (hi - lo > 1e-12) {
            LD R = 1;
            LD mid = (lo + hi) / 2;
            for (int j = 0; j < win.size(); j++) {
                if (win[j].first >= win[j].second - 1e-12) continue;
                if (win[j].second > mid) {
                    R -= (win[j].second - mid) / (win[j].second - win[j].first);
                }
            }
            if (R >= 0) {
                hi = mid;
            } else {
                lo = mid;
            }
        }
        LD cur_ans = lo;
        for (int j = 0; j < win.size(); j++) {
            dp[msk] = max(dp[msk], win[j].first);
        }
        dp[msk] = cur_ans;
    }
    cout << fixed << setprecision(10);
    cout << dp[(1 << n) - 1] << endl;
}

signed main() {
#ifndef LOCAL
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
#endif
    int T = 1;
    // cin >> T;
    while (T--) solve();
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3952kb

input:

2
6 7

output:

3.2307692308

result:

ok found '3.2307692', expected '3.2307692', error '0.0000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

3
1 1 1

output:

0.8333333333

result:

ok found '0.8333333', expected '0.8333333', error '0.0000000'

Test #3:

score: 0
Accepted
time: 3ms
memory: 3844kb

input:

11
1 2 3 4 5 6 7 8 9 10 11

output:

9.4422713866

result:

ok found '9.4422714', expected '9.4422714', error '0.0000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

2
1 1000000000

output:

0.9999999990

result:

ok found '1.0000000', expected '1.0000000', error '0.0000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

5
76 57 68 36 63

output:

63.3539651124

result:

ok found '63.3539651', expected '63.3539651', error '0.0000000'

Test #6:

score: 0
Accepted
time: 2ms
memory: 3756kb

input:

10
550060 445055 787034 728427 572554 894096 875473 622886 575460 119034

output:

818911.3739286328

result:

ok found '818911.3739286', expected '818911.3739286', error '0.0000000'

Test #7:

score: 0
Accepted
time: 46ms
memory: 4428kb

input:

15
10 8 9 6 9 5 3 9 7 8 7 6 7 10 7

output:

9.4986796318

result:

ok found '9.4986796', expected '9.4986796', error '0.0000000'

Test #8:

score: 0
Accepted
time: 1807ms
memory: 20412kb

input:

20
3 2 2 1 2 3 1 3 3 2 1 2 3 2 3 2 3 1 3 1

output:

2.9999751984

result:

ok found '2.9999752', expected '2.9999752', error '0.0000000'

Test #9:

score: -100
Time Limit Exceeded

input:

21
608646711 538679781 175667175 596079164 43084965 174585378 46825084 647100103 820432909 254925688 469580725 888475497 802835182 554123188 53822453 849477025 715668397 194908968 407987651 349577139 457598738

output:


result: