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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#94644#4687. Weather ReportDaiRuiChen007AC ✓23ms3908kbC++141.1kb2023-04-07 11:33:352023-04-07 11:33:39

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-04-07 11:33:39]
  • 评测
  • 测评结果:AC
  • 用时:23ms
  • 内存:3908kb
  • [2023-04-07 11:33:35]
  • 提交

answer

#include<bits/stdc++.h>
#define double long double
#define int long long
using namespace std;
struct node {
	double wt;
	int cnt;
	node(double w,int c) { wt=w,cnt=c; }
	inline friend bool operator <(const node &A,const node &B) {
		return A.wt>B.wt;
	}
};
int fac[21];
double pw[21][4];
signed main() {
	int n;
	scanf("%lld",&n);
	for(int t:{0,1,2,3}) {
		pw[0][t]=1;
		scanf("%Lf",&pw[1][t]);
		for(int i=2;i<=n;++i) pw[i][t]=pw[1][t]*pw[i-1][t];
	}
	priority_queue <node> Q;
	fac[0]=1;
	for(int i=1;i<=n;++i) fac[i]=fac[i-1]*i;
	for(int a=0;a<=n;++a) {
		for(int b=0;a+b<=n;++b) {
			for(int c=0;a+b+c<=n;++c) {
				int d=n-a-b-c;
				Q.push(node(pw[a][0]*pw[b][1]*pw[c][2]*pw[d][3],fac[n]/fac[a]/fac[b]/fac[c]/fac[d]));
			}
		}
	}
	double ans=0;
	while(!Q.empty()) {
		auto x=Q.top(); Q.pop();
		if(x.cnt==1) {
			if(Q.empty()) break;
			auto y=Q.top(); Q.pop();
			Q.push(node(x.wt+y.wt,1));
			ans+=x.wt+y.wt;
			if(y.cnt>1) Q.push(node(y.wt,y.cnt-1));
		} else {
			ans+=(x.wt*2)*(x.cnt/2);
			Q.push(node(x.wt*2,x.cnt/2));
			if(x.cnt%2!=0) Q.push(node(x.wt,x.cnt%2));
		}
	}
	printf("%.10Lf\n",ans);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3608kb

input:

2
0.9 0.049999 0.05 0.000001

output:

1.4575099500

result:

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

Test #2:

score: 0
Accepted
time: 13ms
memory: 3728kb

input:

20
0.25 0.25 0.25 0.25

output:

40.0000000000

result:

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

Test #3:

score: 0
Accepted
time: 13ms
memory: 3812kb

input:

19
0.5 0.3 0.08615 0.11385

output:

32.0000551029

result:

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

Test #4:

score: 0
Accepted
time: 13ms
memory: 3720kb

input:

19
0.255 0.265 0.235 0.245

output:

37.9943446614

result:

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

Test #5:

score: 0
Accepted
time: 23ms
memory: 3732kb

input:

20
0.066667 0.133333 0.266667 0.533333

output:

32.8488848021

result:

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

Test #6:

score: 0
Accepted
time: 11ms
memory: 3732kb

input:

20
0.27 0.26 0.24 0.23

output:

39.9700244231

result:

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

Test #7:

score: 0
Accepted
time: 15ms
memory: 3900kb

input:

20
0.5 0.2 0.175 0.125

output:

35.6177332358

result:

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

Test #8:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

2
0.9 0.05 0.049999 0.000001

output:

1.4575099500

result:

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

Test #9:

score: 0
Accepted
time: 2ms
memory: 3608kb

input:

3
0.25 0.25 0.25 0.25

output:

6.0000000000

result:

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

Test #10:

score: 0
Accepted
time: 0ms
memory: 3748kb

input:

9
0.25 0.25 0.25 0.25

output:

18.0000000000

result:

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

Test #11:

score: 0
Accepted
time: 2ms
memory: 3808kb

input:

9
0.1 0.4 0.3 0.2

output:

16.6459855790

result:

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

Test #12:

score: 0
Accepted
time: 14ms
memory: 3732kb

input:

20
0.56 0.1 0.01 0.33

output:

27.9269671936

result:

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

Test #13:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

1
0.5 0.25 0.125 0.125

output:

1.7500000000

result:

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

Test #14:

score: 0
Accepted
time: 2ms
memory: 3784kb

input:

2
0.5 0.25 0.125 0.125

output:

3.5000000000

result:

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

Test #15:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

3
0.5 0.25 0.125 0.125

output:

5.2500000000

result:

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

Test #16:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

11
0.5 0.25 0.125 0.125

output:

19.2500000000

result:

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

Test #17:

score: 0
Accepted
time: 2ms
memory: 3612kb

input:

1
0.403 0.199 0.199 0.199

output:

1.9950000000

result:

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

Test #18:

score: 0
Accepted
time: 2ms
memory: 3720kb

input:

1
0.199 0.403 0.199 0.199

output:

1.9950000000

result:

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

Test #19:

score: 0
Accepted
time: 2ms
memory: 3776kb

input:

1
0.199 0.199 0.403 0.199

output:

1.9950000000

result:

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

Test #20:

score: 0
Accepted
time: 2ms
memory: 3772kb

input:

1
0.199 0.199 0.199 0.403

output:

1.9950000000

result:

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

Test #21:

score: 0
Accepted
time: 2ms
memory: 3788kb

input:

4
0.4 0.25 0.24 0.11

output:

7.5251345700

result:

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

Test #22:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

4
0.25 0.4 0.24 0.11

output:

7.5251345700

result:

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

Test #23:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

4
0.25 0.24 0.4 0.11

output:

7.5251345700

result:

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

Test #24:

score: 0
Accepted
time: 2ms
memory: 3672kb

input:

4
0.25 0.24 0.11 0.4

output:

7.5251345700

result:

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

Test #25:

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

input:

4
0.0001 0.0002 0.00034 0.99936

output:

1.0089885151

result:

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

Test #26:

score: 0
Accepted
time: 2ms
memory: 3624kb

input:

4
0.99936 0.00034 0.0002 0.0001

output:

1.0089885151

result:

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

Test #27:

score: 0
Accepted
time: 2ms
memory: 3596kb

input:

4
0.00034 0.99936 0.0002 0.0001

output:

1.0089885151

result:

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

Test #28:

score: 0
Accepted
time: 10ms
memory: 3784kb

input:

20
0.000001 0.999997 0.000001 0.000001

output:

1.0003570084

result:

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

Test #29:

score: 0
Accepted
time: 5ms
memory: 3744kb

input:

15
0.000001 0.000001 0.999997 0.000001

output:

1.0002520045

result:

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

Test #30:

score: 0
Accepted
time: 10ms
memory: 3728kb

input:

18
0.01 0.345 0.345 0.3

output:

29.6750587434

result:

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

Test #31:

score: 0
Accepted
time: 8ms
memory: 3808kb

input:

17
0.13 0.35 0.13 0.39

output:

31.0568361587

result:

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

Test #32:

score: 0
Accepted
time: 14ms
memory: 3788kb

input:

20
0.14 0.33 0.14 0.39

output:

37.0670968886

result:

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

Test #33:

score: 0
Accepted
time: 11ms
memory: 3720kb

input:

20
0.125001 0.25 0.5 0.124999

output:

35.0000000000

result:

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

Test #34:

score: 0
Accepted
time: 14ms
memory: 3732kb

input:

20
0.01 0.34503 0.34503 0.29994

output:

32.9672035253

result:

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

Test #35:

score: 0
Accepted
time: 12ms
memory: 3900kb

input:

20
0.4 0.2 0.3 0.1

output:

36.9592971671

result:

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

Test #36:

score: 0
Accepted
time: 11ms
memory: 3804kb

input:

20
0.01 0.02 0.03 0.94

output:

8.3247096881

result:

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

Test #37:

score: 0
Accepted
time: 11ms
memory: 3788kb

input:

20
0.991 0.003 0.003 0.003

output:

2.1213818217

result:

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

Test #38:

score: 0
Accepted
time: 14ms
memory: 3740kb

input:

20
0.495 0.005 0.495 0.005

output:

21.6754013648

result:

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

Test #39:

score: 0
Accepted
time: 14ms
memory: 3840kb

input:

20
0.492 0.008 0.493 0.007

output:

22.3229281448

result:

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

Test #40:

score: 0
Accepted
time: 11ms
memory: 3908kb

input:

20
0.032 0.051 0.023 0.894

output:

12.9856549695

result:

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

Test #41:

score: 0
Accepted
time: 11ms
memory: 3764kb

input:

20
0.002 0.01 0.09 0.898

output:

10.7619687926

result:

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

Test #42:

score: 0
Accepted
time: 15ms
memory: 3848kb

input:

20
0.91 0.03 0.03 0.03

output:

11.6424469039

result:

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