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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#131591#4687. Weather ReportPetroTarnavskyi#AC ✓12ms4056kbC++171.5kb2023-07-27 18:16:422023-07-27 18:16:43

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.
  • [2023-07-27 18:16:43]
  • 评测
  • 测评结果:AC
  • 用时:12ms
  • 内存:4056kb
  • [2023-07-27 18:16:42]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define SZ(a) (int)a.size()
#define ALL(a) a.begin(), a.end()
#define FOR(i, a, b) for (int i = (a); i<(b); ++i)
#define RFOR(i, b, a) for (int i = (b)-1; i>=(a); --i)
#define MP make_pair
#define PB push_back
#define F first
#define S second
#define FILL(a, b) memset(a, b, sizeof(a))

typedef long long LL;
typedef pair<int, int> PII;
typedef vector<int> VI;

typedef long double db;

int main()
{
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout << fixed << setprecision(10);
	int n;
	db p[4];
	cin >> n;
	FOR(i, 0, 4) {
		cin >> p[i];
	}
	vector<LL> fact(n + 1);
	vector<db> pw[4];
	FOR(i, 0, 4) {
		pw[i].resize(n + 1);
		pw[i][0] = 1;
		FOR(j, 1, n + 1) {
			pw[i][j] = pw[i][j - 1] * p[i];
		}
	}
	fact[0] = 1;
	FOR(i, 1, n + 1) {
		fact[i] = fact[i - 1] * i;
	}
	map<db, LL> mp;
	FOR(c0, 0, n + 1) {
		FOR(c1, 0, n + 1 - c0) {
			FOR(c2, 0, n + 1 - c0 - c1) {
				int c3 = n - c0 - c1 - c2;
				mp[pw[0][c0] * pw[1][c1] * pw[2][c2] * pw[3][c3]] += fact[n] / (fact[c0] * fact[c1] * fact[c2] * fact[c3]);
			}
		}
	}
	db ans = 0;
	while (!mp.empty()) {
		auto [val, cnt] = *mp.begin();
		mp.erase(mp.begin());
		if (cnt > 1) {
			mp[2 * val] += cnt / 2;
			ans += 2 * (cnt / 2) * val;
		}
		if (cnt % 2 == 1) {
			if (mp.empty()) {
				break;
			}
			auto [val2, cnt2] = *mp.begin();
			mp[val + val2]++;
			ans += val + val2;
			mp[val2]--;
		}
	}
	cout << ans << "\n";
	return 0;
}


Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3668kb

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: 0ms
memory: 3848kb

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: 10ms
memory: 4036kb

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: 7ms
memory: 3896kb

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: 11ms
memory: 4056kb

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: 9ms
memory: 4008kb

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: 3ms
memory: 3984kb

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: 1ms
memory: 3844kb

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: 1ms
memory: 3660kb

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: 1ms
memory: 3672kb

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: 1ms
memory: 3680kb

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: 12ms
memory: 3820kb

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: 0ms
memory: 3660kb

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: 1ms
memory: 3848kb

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: 3668kb

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: 3720kb

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: 1ms
memory: 3736kb

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: 1ms
memory: 3792kb

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: 1ms
memory: 3760kb

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: 1ms
memory: 3660kb

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: 1ms
memory: 3848kb

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: 1ms
memory: 3664kb

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: 1ms
memory: 3832kb

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: 0ms
memory: 3788kb

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: 3784kb

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: 1ms
memory: 3768kb

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: 0ms
memory: 3660kb

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: 1ms
memory: 3792kb

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: 0ms
memory: 3668kb

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: 3ms
memory: 3800kb

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: 0ms
memory: 3696kb

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: 1ms
memory: 3712kb

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: 3ms
memory: 3884kb

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: 3ms
memory: 3700kb

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: 2ms
memory: 3848kb

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: 4ms
memory: 3900kb

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: 1ms
memory: 3672kb

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: 1ms
memory: 3664kb

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: 11ms
memory: 3812kb

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: 12ms
memory: 3940kb

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: 12ms
memory: 3816kb

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: 1ms
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'