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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#353185#958. Lockout vs touristHKOI0#TL 1061ms36580kbC++201.5kb2024-03-13 22:42:102024-03-13 22:42:11

Judging History

This is the latest submission verdict.

  • [2024-03-13 22:42:11]
  • Judged
  • Verdict: TL
  • Time: 1061ms
  • Memory: 36580kb
  • [2024-03-13 22:42:10]
  • 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 cur_ans = 0, R = 1, U = 1e9 + 11, L = 0;

        for (int j = 0; j < win.size(); j++) {
            if (win[j].first >= win[j].second - 1e-12) {
                continue;
            }
            if (win[j].second < cur_ans) break;
            LD diff = U - min(U, win[j].second);
            U = min(U, win[j].second);
            R -= diff * L;
            R -= (win[j].second - U) / (win[j].second - win[j].first);
            if (R < 0) break;
            L += 1.0L / (win[j].second - win[j].first);
            cur_ans = max(cur_ans, U - R / L);
        }
        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();
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3812kb

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: 3840kb

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: 1ms
memory: 3840kb

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: 3812kb

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: 3828kb

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: 1ms
memory: 3784kb

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: 10ms
memory: 4408kb

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: 464ms
memory: 20236kb

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: 0
Accepted
time: 1061ms
memory: 36580kb

input:

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

output:

831669480.2821692052

result:

ok found '831669480.2821692', expected '831669480.2821692', error '0.0000000'

Test #10:

score: -100
Time Limit Exceeded

input:

22
593316975 268451765 664075355 817013319 325389147 553878522 663160635 289932897 995002446 771863307 252061346 171723220 102306933 722521207 52895206 996540774 335816175 415049181 629862034 371890996 327908946 357122932

output:


result: