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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#619564#2440. Valentine's DayLavender_Field#AC ✓93ms3924kbC++20809b2024-10-07 14:40:212024-10-07 14:40:22

Judging History

This is the latest submission verdict.

  • [2024-10-07 14:40:22]
  • Judged
  • Verdict: AC
  • Time: 93ms
  • Memory: 3924kb
  • [2024-10-07 14:40:21]
  • Submitted

answer

#include <algorithm>
#include <iomanip>
#include <iostream>
#include <queue>
template<typename T>
void upd_max(T &a, T b) { if (a < b) a = b; }
constexpr int N = 10000;
double P[N];
void solve()
{
    int n; std::cin >> n;
    for (int i = 0; i < n; ++i)
        std::cin >> P[i];
    std::sort(P, P + n, std::greater<>());
    if (P[0] == 1)
    {
        std::cout << "1\n";
        return;
    }
    double ans = 0;
    double s = 0, p = 1;
    for (int i = 0; i < n; ++i)
    {
        s += P[i] / (1 - P[i]), p *= 1 - P[i];
        upd_max(ans, s * p);
    }
    std::cout << ans << "\n";
}
int main()
{
    std::ios::sync_with_stdio(false), std::cin.tie(nullptr);
    int T; std::cin >> T;
    std::cout << std::fixed << std::setprecision(6);
    while (T--) solve();
}

Details

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Test #1:

score: 100
Accepted
time: 93ms
memory: 3924kb

input:

100
10
0.020874 0.180969 0.015588 0.043033 0.181293 0.033025 0.163341 0.104341 0.065442 0.129546
10
0.019357 0.210598 0.045487 0.051145 0.014579 0.135566 0.004401 0.008004 0.106695 0.056974
10
0.062679 0.216144 0.010137 0.031823 0.233062 0.042464 0.099544 0.140483 0.201337 0.045349
100
0.116404 0.19...

output:

0.398190
0.373684
0.410885
0.421374
0.419873
0.421062
0.420797
0.419891
0.419860
0.000100
0.000000
0.003341
0.003336
0.001427
0.003169
0.029231
0.061862
0.022757
0.015698
0.035934
1
0.376079
0.376081
0.376081
0.376082
0.376080
0.376077
0.376083
0.376078
0.376084
0.376073
0.376079
0.375987
0.375863
0...

result:

ok 100 numbers