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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#36695#2440. Valentine's DayclaesAC ✓157ms3828kbC++680b2022-06-28 14:46:052022-06-28 14:46:07

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-06-28 14:46:07]
  • Judged
  • Verdict: AC
  • Time: 157ms
  • Memory: 3828kb
  • [2022-06-28 14:46:05]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std ;
int n , t ;
double a[10010] ;
bool pd( double a , double b )
{
	return a > b ;
}
int main ()
{
	scanf( "%d" , &t ) ;
	while( t -- )
	{
		scanf( "%d" , &n ) ;
		double mx = 0 ;
		for( int i = 0 ; i < n ; i ++ )
		{
			scanf( "%lf" , &a[i] ) ;
			if( a[i] > mx ) mx = a[i] ;
		}
		sort( a , a + n , pd ) ;
		double ans = a[0] ;
		mx = a[0] ;
		double mm = 0 ;
		double tm , tx ;
		for( int i = 1 ; i < n ; i ++ )
		{
			tx = ( 1 - mx - mm ) * a[i] + mx * ( 1 - a[i] ) ;
			tm = mm + mx * a[i] ;
			mx = tx ;
			mm = tm ;
			ans = max( ans , mx ) ;
		}
		printf( "%.12lf\n" , ans ) ;
	}
	return 0 ;
}

Details

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Test #1:

score: 100
Accepted
time: 157ms
memory: 3828kb

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:

0.398190071489
0.373683886459
0.410885362758
0.421374044378
0.419872971016
0.421062257019
0.420796858020
0.419890897576
0.419860393202
0.000099990100
0.000000000000
0.003341000000
0.003336000000
0.001427003306
0.003169000000
0.029231252961
0.061862431346
0.022757483568
0.015698496871
0.035934479901
...

result:

ok 100 numbers