QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#54545#4230. Leaderboard EffectYL1F4#AC ✓1239ms231536kbC++141.5kb2022-10-09 16:41:042022-10-09 16:41:06

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.
  • [2022-10-09 16:41:06]
  • 评测
  • 测评结果:AC
  • 用时:1239ms
  • 内存:231536kb
  • [2022-10-09 16:41:04]
  • 提交

answer

#include <cstdio>
#include <vector>
#include <algorithm>
const double eps = 1e-8;
int n, t, m;
std::vector<int> st[(1 << 17) + 5];
std::vector<int> ts[(1 << 17) + 5];
int r[18];
int c[18];
double p[18];
double f[105][(1 << 17) + 5];
double g[105][20];
double s[105][(1 << 17) + 5];
double ans[20];
bool eq0(double x)
{
	return std::abs(x) < eps;
}
double calc(int i, int j, int k)
{
	int cnt = st[j].size();
	if(eq0(s[i][m ^ j])) return 1.0 / double(cnt);
	return g[i][k] / s[i][m ^ j];
}
int main()
{
	scanf("%d%d", &n, &t);
	for(int i = 1; i <= n; i++)
	{
		m += (1 << (i - 1));
		scanf("%d%d%lf", &r[i], &c[i], &p[i]);
	}
	for(int i = 0; i < 1 << n; i++)
	{
		for(int j = 1; j <= n; j++)
		{
			if(i & (1 << (j - 1)))
			{
				ts[i].push_back(j);
			}
			else
			{
				st[i].push_back(j);
			}
		}
	}
	f[0][0] = 1;
	for(int i = 0; i <= t; i++)
	{
		if(i != 0)
		{
			for(int j = 1; j <= n; j++)
			{
				g[i][j] += g[i - 1][j];
			}
		}
		for(int j = 0; j < 1 << n; j++)
		{
			for(auto k : ts[j])
			{
				s[i][j] += g[i][k];
			}
		}
		for(int j = 0; j < 1 << n; j++)
		{
			for(auto k : st[j])
			{
				int _j = j ^ (1 << (k - 1));
				if(i + r[k] + c[k] <= t)
				{
					f[i + r[k] + c[k]][_j] += f[i][j] * p[k] * calc(i, j, k);
					g[i + r[k] + c[k]][k] += f[i][j] * p[k] * calc(i, j, k);
				}
				if(i + r[k] <= t) f[i + r[k]][_j] += f[i][j] * (1 - p[k]) * calc(i, j, k);
			}
		}
	}
	for(int i = 1; i <= n; i++)
	{
		printf("%.8f\n", g[t][i]);
	}
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 9768kb

input:

4 42
10 10 0.75
10 10 0.75
10 12 1
10 12 1

output:

0.45625000
0.45625000
0.29687500
0.29687500

result:

ok 4 numbers

Test #2:

score: 0
Accepted
time: 1ms
memory: 11632kb

input:

4 42
10 12 0.75
10 12 0.75
10 10 1
10 10 1

output:

0.20312500
0.20312500
0.68323864
0.68323864

result:

ok 4 numbers

Test #3:

score: 0
Accepted
time: 0ms
memory: 11688kb

input:

5 100
40 60 0.6
40 61 1
10 40 0.3
10 40 0.4
10 40 0.5

output:

0.12000000
0.00000000
0.11262857
0.15973968
0.20644444

result:

ok 5 numbers

Test #4:

score: 0
Accepted
time: 200ms
memory: 66508kb

input:

15 100
4 14 0.954205412740471
5 11 0.264054003774017
1 7 0.521673865442381
3 12 0.6756938980261
1 15 0.980129050876819
2 12 0.836645892885326
10 3 0.959863273940343
13 6 0.230786407526669
3 13 0.0575791282076707
6 5 0.706328060881614
1 15 0.662404274712202
2 13 0.715327416279894
11 2 0.9275847467499...

output:

0.54668836
0.05551902
0.39362139
0.35087492
0.66742441
0.57122251
0.79995222
0.04000540
0.00614505
0.55125623
0.29998903
0.39126058
0.76047492
0.51880518
0.07174879

result:

ok 15 numbers

Test #5:

score: 0
Accepted
time: 441ms
memory: 120772kb

input:

16 100
1 8 0.203833126785817
1 10 0.551151943064124
1 12 0.996220861387656
1 7 0.198656409543208
2 2 0.467994369421028
8 3 0.201277956430612
1 10 0.33397726300295
1 8 0.223430703554389
3 12 0.715363922664928
9 6 0.883743052774488
1 9 0.51636293824285
2 7 0.00210327442137626
6 11 0.978989778915285
1 ...

output:

0.08588048
0.42529273
0.93741115
0.09222496
0.43399594
0.07552293
0.17343080
0.10175300
0.53493334
0.76513889
0.40857003
0.00023455
0.83749110
0.15063275
0.88919854
0.77605125

result:

ok 16 numbers

Test #6:

score: 0
Accepted
time: 529ms
memory: 120160kb

input:

16 100
36 30 0.246284470931766
40 2 0.00729886464249319
34 9 0.969806174971755
2 27 0.700168809611093
2 49 0.00964738878291982
11 13 0.843818712396597
23 15 0.015695164745825
2 11 0.860911871987035
8 39 0.759047449661107
33 17 0.156016479857797
5 40 0.704380590007194
2 36 0.0742940485679995
13 17 0....

output:

0.02241736
0.00067199
0.18813400
0.26740220
0.00080645
0.48120717
0.00150862
0.72890064
0.09353025
0.01441575
0.10047945
0.00790530
0.01610835
0.01146441
0.19344225
0.10854051

result:

ok 16 numbers

Test #7:

score: 0
Accepted
time: 4ms
memory: 11672kb

input:

2 100
44 23 0.344489870631275
18 13 0.617983603136949

output:

0.34448987
0.61798360

result:

ok 2 numbers

Test #8:

score: 0
Accepted
time: 1239ms
memory: 231536kb

input:

17 100
1 6 0.618966248907732
1 6 0.126915204708293
4 7 0.35153234988752
2 3 0.0368548187261588
1 5 0.299571483949073
1 12 0.944530094804986
3 12 0.249408160616937
1 11 0.91317090384857
5 8 0.377638681694897
4 12 0.639080155811651
1 4 0.809300766237897
8 5 0.812731204986182
1 10 0.480107932016118
7 1...

output:

0.60972060
0.06641629
0.27596479
0.01163167
0.26539687
0.92761872
0.11045245
0.90002284
0.27245478
0.54441906
0.80755701
0.78743828
0.42419748
0.45328987
0.07108885
0.02305064
0.27663099

result:

ok 17 numbers

Test #9:

score: 0
Accepted
time: 998ms
memory: 200860kb

input:

17 85
8 6 0.9977
1 4 0.9459
5 9 0.0733
2 9 0.759
9 6 0.921
5 6 0.2015
2 8 0.9407
8 10 0.7806
5 3 0.864
4 4 0.0777
9 3 0.9518
8 2 0.8221
10 9 0.2471
4 8 0.4679
7 6 0.603
3 2 0.4067
5 5 0.8879

output:

0.58672452
0.91295342
0.00658062
0.42105609
0.46074979
0.03150304
0.74982986
0.24689806
0.74161589
0.00871656
0.63433834
0.59940764
0.03096626
0.14190175
0.22628927
0.28520295
0.68121595

result:

ok 17 numbers

Test #10:

score: 0
Accepted
time: 1003ms
memory: 201984kb

input:

17 85
9 7 0.0563
7 7 0.1979
9 3 0.7689
1 6 0.0291
7 7 0.9631
5 8 0.847
8 6 0.6752
2 9 0.0396
4 2 0.6747
8 3 0.1071
8 4 0.5134
9 7 0.7491
6 8 0.3134
3 1 0.8355
4 5 0.5561
1 10 0.372
9 9 0.4515

output:

0.00549408
0.03723780
0.62943725
0.00354347
0.78102353
0.67715794
0.41080643
0.00374388
0.64244093
0.01655332
0.30380512
0.42383168
0.08619829
0.82697093
0.46128471
0.16376087
0.12859537

result:

ok 17 numbers

Test #11:

score: 0
Accepted
time: 993ms
memory: 202672kb

input:

17 85
1 7 0.1344
5 8 0.99
8 3 0.437
4 9 0.1375
3 2 0.8208
1 8 0.5922
10 6 0.655
8 5 0.8043
2 5 0.8447
5 10 0.3305
9 3 0.725
1 8 0.0394
6 5 0.8091
8 7 0.6427
9 6 0.7282
4 7 0.1024
1 6 0.4222

output:

0.02711503
0.79243716
0.20619678
0.02044318
0.79747439
0.42687881
0.28520395
0.55188338
0.79282214
0.08161989
0.49829325
0.00412196
0.64301075
0.29925802
0.38662524
0.01447454
0.27060757

result:

ok 17 numbers

Test #12:

score: 0
Accepted
time: 1023ms
memory: 202384kb

input:

17 85
10 2 0.6556
3 1 0.7738
1 8 0.9047
3 10 0.9973
10 4 0.5266
8 1 0.4384
5 3 0.3559
3 6 0.7999
8 6 0.9665
3 4 0.142
7 5 0.0319
6 3 0.4056
6 10 0.0477
8 10 0.1334
5 8 0.8102
8 8 0.6
7 5 0.318

output:

0.39728913
0.76142213
0.83152020
0.78082780
0.19624489
0.25409024
0.19070461
0.70361579
0.68028082
0.03555314
0.00259539
0.21120366
0.00395479
0.01442606
0.52903049
0.21826075
0.08768449

result:

ok 17 numbers

Test #13:

score: 0
Accepted
time: 679ms
memory: 223572kb

input:

17 100
10 41 0.986344070444954
38 40 0.13596976314146
23 65 0.589188420670698
23 41 0.862487981086339
66 62 0.756039635351495
84 82 0.466671597793749
17 74 0.451825236037525
97 49 0.785964886639839
76 26 0.432545432217108
10 33 0.495053202758143
35 72 0.437261903429889
55 95 0.333190022475783
83 56 ...

output:

0.07155791
0.00853195
0.03578151
0.05741747
0.00000000
0.00000000
0.02657796
0.00000000
0.00000000
0.07617775
0.00000000
0.00000000
0.00000000
0.00000000
0.00000000
0.00000000
0.00000000

result:

ok 17 numbers

Test #14:

score: 0
Accepted
time: 720ms
memory: 224416kb

input:

17 100
52 66 0.608312285077897
77 36 0.182402129968963
43 16 0.906840075497175
75 100 0.508033408075313
25 60 0.688919263266595
84 59 0.17045120790047
75 9 0.831462171228754
16 69 0.185113485186001
71 54 0.372346884200038
90 65 0.235248490382517
62 50 0.917089563798644
47 45 0.717838729472597
56 51 ...

output:

0.00000000
0.00000000
0.06028281
0.00000000
0.04155354
0.00000000
0.05264229
0.01116549
0.00000000
0.00000000
0.00000000
0.04266143
0.00000000
0.04509807
0.00000000
0.03976723
0.05607487

result:

ok 17 numbers

Test #15:

score: 0
Accepted
time: 2ms
memory: 10824kb

input:

5 40
10 8 0.9
10 9 0.9
10 10 0.9
10 11 0.9
10 12 0.9

output:

0.53850000
0.37650000
0.24150000
0.23850000
0.23850000

result:

ok 5 numbers