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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#290892#4687. Weather ReportzhouhuanyiAC ✓11ms3992kbC++201.3kb2023-12-25 19:38:202023-12-25 19:38:20

Judging History

你现在查看的是最新测评结果

  • [2023-12-25 19:38:20]
  • 评测
  • 测评结果:AC
  • 用时:11ms
  • 内存:3992kb
  • [2023-12-25 19:38:20]
  • 提交

answer

#include<iostream>
#include<cstdio>
#include<queue>
#define N 20
using namespace std;
int read()
{
	char c=0;
	int sum=0;
	while (c<'0'||c>'9') c=getchar();
	while ('0'<=c&&c<='9') sum=sum*10+c-'0',c=getchar();
	return sum;
}
struct node
{
	long long sz;
	long double res;
	bool operator < (const node &t)const
	{
		return res>t.res;	
	}
};
priority_queue<node>q;
long double ans;
long long fac[N+1];
int n;
int main()
{
	node top,top2;
	long double a,b,c,d,res;
	fac[0]=1;
	for (int i=1;i<=N;++i) fac[i]=fac[i-1]*i; 
	n=read(),cin>>a>>b>>c>>d;
	for (int i=0;i<=n;++i)
		for (int j=0;i+j<=n;++j)
			for (int k=0,t;i+j+k<=n;++k)
			{
				t=n-i-j-k,res=1;
				for (int w=1;w<=i;++w) res*=a;
				for (int w=1;w<=j;++w) res*=b;
				for (int w=1;w<=k;++w) res*=c;
				for (int w=1;w<=t;++w) res*=d;
				q.push((node){fac[n]/fac[i]/fac[j]/fac[k]/fac[t],res});
			}
	while (1)
	{
		top=q.top(),q.pop();
		if (top.sz>=2)
		{
			ans+=(top.sz>>1)*(top.res*2),q.push((node){top.sz>>1,top.res*2});
			if (top.sz&1) q.push((node){1,top.res});
		}
		else
		{
			if (q.empty()) break;
		    top2=q.top(),q.pop(),ans+=top.res+top2.res,q.push((node){1,top.res+top2.res});
			if (top2.sz>=2) q.push((node){top2.sz-1,top2.res});
		}
	}
	printf("%0.12Lf\n",ans);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3884kb

input:

2
0.9 0.049999 0.05 0.000001

output:

1.457509949996

result:

ok found '1.45751', expected '1.45751', error '0.00000'

Test #2:

score: 0
Accepted
time: 9ms
memory: 3776kb

input:

20
0.25 0.25 0.25 0.25

output:

40.000000000000

result:

ok found '40.00000', expected '40.00000', error '0.00000'

Test #3:

score: 0
Accepted
time: 9ms
memory: 3948kb

input:

19
0.5 0.3 0.08615 0.11385

output:

32.000055102909

result:

ok found '32.00006', expected '32.00006', error '0.00000'

Test #4:

score: 0
Accepted
time: 9ms
memory: 3892kb

input:

19
0.255 0.265 0.235 0.245

output:

37.994344661379

result:

ok found '37.99434', expected '37.99435', error '0.00000'

Test #5:

score: 0
Accepted
time: 11ms
memory: 3828kb

input:

20
0.066667 0.133333 0.266667 0.533333

output:

32.848884802099

result:

ok found '32.84888', expected '32.84889', error '0.00000'

Test #6:

score: 0
Accepted
time: 11ms
memory: 3772kb

input:

20
0.27 0.26 0.24 0.23

output:

39.970024423078

result:

ok found '39.97002', expected '39.97002', error '0.00000'

Test #7:

score: 0
Accepted
time: 11ms
memory: 3992kb

input:

20
0.5 0.2 0.175 0.125

output:

35.617733235788

result:

ok found '35.61773', expected '35.61773', error '0.00000'

Test #8:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

2
0.9 0.05 0.049999 0.000001

output:

1.457509949996

result:

ok found '1.45751', expected '1.45751', error '0.00000'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

3
0.25 0.25 0.25 0.25

output:

6.000000000000

result:

ok found '6.00000', expected '6.00000', error '0.00000'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

9
0.25 0.25 0.25 0.25

output:

18.000000000000

result:

ok found '18.00000', expected '18.00000', error '0.00000'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3860kb

input:

9
0.1 0.4 0.3 0.2

output:

16.645985579000

result:

ok found '16.64599', expected '16.64599', error '0.00000'

Test #12:

score: 0
Accepted
time: 10ms
memory: 3940kb

input:

20
0.56 0.1 0.01 0.33

output:

27.926967193580

result:

ok found '27.92697', expected '27.92697', error '0.00000'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3764kb

input:

1
0.5 0.25 0.125 0.125

output:

1.750000000000

result:

ok found '1.75000', expected '1.75000', error '0.00000'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

2
0.5 0.25 0.125 0.125

output:

3.500000000000

result:

ok found '3.50000', expected '3.50000', error '0.00000'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

3
0.5 0.25 0.125 0.125

output:

5.250000000000

result:

ok found '5.25000', expected '5.25000', error '0.00000'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3872kb

input:

11
0.5 0.25 0.125 0.125

output:

19.250000000000

result:

ok found '19.25000', expected '19.25000', error '0.00000'

Test #17:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

1
0.403 0.199 0.199 0.199

output:

1.995000000000

result:

ok found '1.99500', expected '1.99500', error '0.00000'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

1
0.199 0.403 0.199 0.199

output:

1.995000000000

result:

ok found '1.99500', expected '1.99500', error '0.00000'

Test #19:

score: 0
Accepted
time: 1ms
memory: 3764kb

input:

1
0.199 0.199 0.403 0.199

output:

1.995000000000

result:

ok found '1.99500', expected '1.99500', error '0.00000'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

1
0.199 0.199 0.199 0.403

output:

1.995000000000

result:

ok found '1.99500', expected '1.99500', error '0.00000'

Test #21:

score: 0
Accepted
time: 1ms
memory: 3884kb

input:

4
0.4 0.25 0.24 0.11

output:

7.525134570000

result:

ok found '7.52513', expected '7.52513', error '0.00000'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

4
0.25 0.4 0.24 0.11

output:

7.525134570000

result:

ok found '7.52513', expected '7.52513', error '0.00000'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

4
0.25 0.24 0.4 0.11

output:

7.525134570000

result:

ok found '7.52513', expected '7.52513', error '0.00000'

Test #24:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

4
0.25 0.24 0.11 0.4

output:

7.525134570000

result:

ok found '7.52513', expected '7.52513', error '0.00000'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

4
0.0001 0.0002 0.00034 0.99936

output:

1.008988515133

result:

ok found '1.00899', expected '1.00899', error '0.00000'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

4
0.99936 0.00034 0.0002 0.0001

output:

1.008988515133

result:

ok found '1.00899', expected '1.00899', error '0.00000'

Test #27:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

4
0.00034 0.99936 0.0002 0.0001

output:

1.008988515133

result:

ok found '1.00899', expected '1.00899', error '0.00000'

Test #28:

score: 0
Accepted
time: 11ms
memory: 3920kb

input:

20
0.000001 0.999997 0.000001 0.000001

output:

1.000357008384

result:

ok found '1.00036', expected '1.00036', error '0.00000'

Test #29:

score: 0
Accepted
time: 4ms
memory: 3864kb

input:

15
0.000001 0.000001 0.999997 0.000001

output:

1.000252004458

result:

ok found '1.00025', expected '1.00025', error '0.00000'

Test #30:

score: 0
Accepted
time: 7ms
memory: 3880kb

input:

18
0.01 0.345 0.345 0.3

output:

29.675058743432

result:

ok found '29.67506', expected '29.67506', error '0.00000'

Test #31:

score: 0
Accepted
time: 5ms
memory: 3952kb

input:

17
0.13 0.35 0.13 0.39

output:

31.056836158746

result:

ok found '31.05684', expected '31.05684', error '0.00000'

Test #32:

score: 0
Accepted
time: 11ms
memory: 3896kb

input:

20
0.14 0.33 0.14 0.39

output:

37.067096888594

result:

ok found '37.06710', expected '37.06710', error '0.00000'

Test #33:

score: 0
Accepted
time: 11ms
memory: 3948kb

input:

20
0.125001 0.25 0.5 0.124999

output:

35.000000000000

result:

ok found '35.00000', expected '35.00000', error '0.00000'

Test #34:

score: 0
Accepted
time: 10ms
memory: 3716kb

input:

20
0.01 0.34503 0.34503 0.29994

output:

32.967203525345

result:

ok found '32.96720', expected '32.96720', error '0.00000'

Test #35:

score: 0
Accepted
time: 8ms
memory: 3928kb

input:

20
0.4 0.2 0.3 0.1

output:

36.959297167070

result:

ok found '36.95930', expected '36.95930', error '0.00000'

Test #36:

score: 0
Accepted
time: 11ms
memory: 3824kb

input:

20
0.01 0.02 0.03 0.94

output:

8.324709688145

result:

ok found '8.32471', expected '8.32471', error '0.00000'

Test #37:

score: 0
Accepted
time: 7ms
memory: 3896kb

input:

20
0.991 0.003 0.003 0.003

output:

2.121381821746

result:

ok found '2.12138', expected '2.12138', error '0.00000'

Test #38:

score: 0
Accepted
time: 11ms
memory: 3820kb

input:

20
0.495 0.005 0.495 0.005

output:

21.675401364773

result:

ok found '21.67540', expected '21.67540', error '0.00000'

Test #39:

score: 0
Accepted
time: 7ms
memory: 3948kb

input:

20
0.492 0.008 0.493 0.007

output:

22.322928144766

result:

ok found '22.32293', expected '22.32293', error '0.00000'

Test #40:

score: 0
Accepted
time: 11ms
memory: 3948kb

input:

20
0.032 0.051 0.023 0.894

output:

12.985654969506

result:

ok found '12.98565', expected '12.98565', error '0.00000'

Test #41:

score: 0
Accepted
time: 11ms
memory: 3888kb

input:

20
0.002 0.01 0.09 0.898

output:

10.761968792601

result:

ok found '10.76197', expected '10.76197', error '0.00000'

Test #42:

score: 0
Accepted
time: 10ms
memory: 3888kb

input:

20
0.91 0.03 0.03 0.03

output:

11.642446903928

result:

ok found '11.64245', expected '11.64245', error '0.00000'