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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#353098#4230. Leaderboard EffectPetroTarnavskyi#AC ✓1524ms106280kbC++201.5kb2024-03-13 21:08:312024-03-13 21:08:32

Judging History

你现在查看的是最新测评结果

  • [2024-03-13 21:08:32]
  • 评测
  • 测评结果:AC
  • 用时:1524ms
  • 内存:106280kb
  • [2024-03-13 21:08:31]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

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

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

const int N = 17;
const int T = 107;
const db EPS = 1e-9;

db dp[T][1 << N];
db f[T][N];
int r[N], c[N];
db p[N];

bool hasBit(int mask, int i)
{
	return (mask >> i) & 1;
}

int main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout << fixed << setprecision(15);
	int n, t;
	cin >> n >> t;
	FOR(i, 0, n)
		cin >> r[i] >> c[i] >> p[i];
	dp[0][0] = 1;
	FOR(i, 0, t)
	{
		FOR(mask, 0, 1 << n)
		{
			db s = 0;
			int cntUnused = 0;
			FOR(k, 0, n)
				if (!hasBit(mask, k))
				{
					s += f[i][k];
					cntUnused++;
				}
			// choose problem k
			FOR(k, 0, n)
			{
				if (hasBit(mask, k))
					continue;
				db probK = s < EPS ? (1.0 / cntUnused) : (f[i][k] / s);
				if (i + r[k] <= t)
				{
					dp[i + r[k]][mask | (1 << k)] += dp[i][mask] * probK * (1 - p[k]);
				}
				if (i + r[k] + c[k] <= t)
				{
					dp[i + r[k] + c[k]][mask | (1 << k)] += dp[i][mask] * probK * p[k];
					f[i + r[k] + c[k]][k] += dp[i][mask] * probK * p[k];
				}
			}
		}
		FOR(k, 0, n)
			f[i + 1][k] += f[i][k];
	}
	FOR(k, 0, n)
		cout << f[t][k] << "\n";
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 4016kb

input:

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

output:

0.456250000000000
0.456250000000000
0.296875000000000
0.296875000000000

result:

ok 4 numbers

Test #2:

score: 0
Accepted
time: 1ms
memory: 3988kb

input:

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

output:

0.203125000000000
0.203125000000000
0.683238636363636
0.683238636363636

result:

ok 4 numbers

Test #3:

score: 0
Accepted
time: 1ms
memory: 4068kb

input:

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

output:

0.120000000000000
0.000000000000000
0.112628571428571
0.159739682539683
0.206444444444444

result:

ok 5 numbers

Test #4:

score: 0
Accepted
time: 321ms
memory: 29900kb

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:

0.546688360092036
0.055519018242140
0.393621391115123
0.350874919754782
0.667424409119591
0.571222512937160
0.799952216612430
0.040005404338940
0.006145048719599
0.551256231843810
0.299989033034696
0.391260583274803
0.760474924225991
0.518805181308479
0.071748788009812

result:

ok 15 numbers

Test #5:

score: 0
Accepted
time: 731ms
memory: 55488kb

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:

0.085880480704929
0.425292731546367
0.937411152137167
0.092224956990472
0.433995938461823
0.075522926844032
0.173430796407679
0.101752996585523
0.534933339311451
0.765138886172423
0.408570030793372
0.000234545182917
0.837491098750283
0.150632754765004
0.889198544694527
0.776051252008205

result:

ok 16 numbers

Test #6:

score: 0
Accepted
time: 716ms
memory: 54940kb

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:

0.022417364414376
0.000671987468592
0.188134004526026
0.267402196062388
0.000806452249446
0.481207172814253
0.001508624006811
0.728900640076843
0.093530246883962
0.014415753884894
0.100479452210368
0.007905300344661
0.016108345935736
0.011464406576285
0.193442248319016
0.108540508187958

result:

ok 16 numbers

Test #7:

score: 0
Accepted
time: 1ms
memory: 4044kb

input:

2 100
44 23 0.344489870631275
18 13 0.617983603136949

output:

0.344489870631275
0.617983603136949

result:

ok 2 numbers

Test #8:

score: 0
Accepted
time: 1524ms
memory: 106280kb

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:

0.609720598660333
0.066416290908452
0.275964793487334
0.011631666152016
0.265396873852893
0.927618724724162
0.110452453340905
0.900022841304072
0.272454777474705
0.544419064353631
0.807557009623788
0.787438275235423
0.424197477957682
0.453289869882972
0.071088847407502
0.023050639997668
0.2766309939...

result:

ok 17 numbers

Test #9:

score: 0
Accepted
time: 1294ms
memory: 90996kb

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:

0.586724519250854
0.912953420937973
0.006580616859529
0.421056086792997
0.460749791576545
0.031503038542143
0.749829862412190
0.246898055559744
0.741615885873625
0.008716558501782
0.634338337966247
0.599407644446860
0.030966264343319
0.141901745771332
0.226289267326114
0.285202950435272
0.6812159525...

result:

ok 17 numbers

Test #10:

score: 0
Accepted
time: 1272ms
memory: 90956kb

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:

0.005494076787488
0.037237798874605
0.629437253361304
0.003543465855541
0.781023527962233
0.677157939955960
0.410806433460006
0.003743883246819
0.642440929631951
0.016553323195167
0.303805123336441
0.423831677025396
0.086198287282299
0.826970933203345
0.461284708494303
0.163760869135424
0.1285953724...

result:

ok 17 numbers

Test #11:

score: 0
Accepted
time: 1320ms
memory: 90944kb

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:

0.027115033929916
0.792437156034328
0.206196778123340
0.020443184337910
0.797474393400831
0.426878809713136
0.285203945992875
0.551883378811675
0.792822140398923
0.081619893150215
0.498293254014566
0.004121958074336
0.643010750412097
0.299258019222352
0.386625244711550
0.014474542348519
0.2706075742...

result:

ok 17 numbers

Test #12:

score: 0
Accepted
time: 1318ms
memory: 90888kb

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:

0.397289127475792
0.761422130971623
0.831520204401419
0.780827798025808
0.196244888928758
0.254090235986826
0.190704612138930
0.703615786202505
0.680280815914402
0.035553141225707
0.002595389400108
0.211203658821714
0.003954785625942
0.014426060932877
0.529030490740856
0.218260745505969
0.0876844930...

result:

ok 17 numbers

Test #13:

score: 0
Accepted
time: 1411ms
memory: 97096kb

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:

0.071557905030191
0.008531951117394
0.035781505339295
0.057417466249548
0.000000000000000
0.000000000000000
0.026577955061031
0.000000000000000
0.000000000000000
0.076177754926464
0.000000000000000
0.000000000000000
0.000000000000000
0.000000000000000
0.000000000000000
0.000000000000000
0.0000000000...

result:

ok 17 numbers

Test #14:

score: 0
Accepted
time: 1415ms
memory: 97216kb

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:

0.000000000000000
0.000000000000000
0.060282814414062
0.000000000000000
0.041553544552180
0.000000000000000
0.052642288171710
0.011165490448638
0.000000000000000
0.000000000000000
0.000000000000000
0.042661428112687
0.000000000000000
0.045098071399119
0.000000000000000
0.039767234849516
0.0560748677...

result:

ok 17 numbers

Test #15:

score: 0
Accepted
time: 1ms
memory: 3976kb

input:

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

output:

0.538500000000000
0.376500000000000
0.241500000000000
0.238500000000000
0.238500000000000

result:

ok 5 numbers