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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#84249#5444. Tavern ChessSvyatAC ✓854ms85768kbC++172.2kb2023-03-06 03:31:062023-03-06 03:31:08

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.
  • [2023-03-06 03:31:08]
  • 评测
  • 测评结果:AC
  • 用时:854ms
  • 内存:85768kb
  • [2023-03-06 03:31:06]
  • 提交

answer

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

using minion = pair<int, int>;

struct Hasher {
  std::size_t operator()(const vector<pair<int, int>>& k) const {
    using std::hash;
    size_t h = 0;
    for (auto &it : k) {         
    	h = h * 31 + hash<int>()(it.first);
    	h = h * 31 + hash<int>()(it.second);
    }
    return h;
  }
};

unordered_map<vector<minion>, unordered_map<vector<minion>, pair<double, double>, Hasher>, Hasher> dp;

pair<double, double> go(vector<minion> &a, vector<minion> &b) {
	if (a.empty() && b.empty()) {
		return make_pair(0, 0);
	}
	if (a.empty()) {
		return make_pair(0, 1);
	}
	if (b.empty()) {
		return make_pair(1, 0);
	}
	auto &state = dp[a];
	if (state.count(b)) {
		return state[b];
	}
	pair<double, double> &res = state[b];
	vector<minion> aarot = a;
	rotate(aarot.begin(), aarot.begin() + 1, aarot.end());
	vector<minion> aaerase = a;
	aaerase.erase(aaerase.begin());
	for (int i = 0; i < (int) b.size(); ++i) {
		vector<minion> bb = b;
		bb[i].second -= a[0].first;
		if (bb[i].second <= 0) {
			bb.erase(bb.begin() + i);
		}
		pair<double, double> cur;
		if (a[0].second <= b[i].first) {
			cur = go(bb, aaerase);
		} else {                     
			aarot.back().second -= b[i].first;
			cur = go(bb, aarot);
			aarot.back().second += b[i].first;
		}
		res.first += cur.second / b.size();
		res.second += cur.first / b.size();
	}
	return res;
}

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	int n, m;
	cin >> n >> m;
	vector<minion> a(n);
	for (int i = 0; i < n; ++i) {
		cin >> a[i].first;
		a[i].second = a[i].first;
	}
	vector<minion> b(m);
	for (int i = 0; i < m; ++i) {
		cin >> b[i].first;
		b[i].second = b[i].first;
	}
	pair<double, double> result;
	if (n > m) {
		result = go(a, b);
	} else if (n < m) {
		result = go(b, a);
		swap(result.first, result.second);
	} else {
		result = go(a, b);
		auto tmp = go(b, a);                           
		result.first = (result.first + tmp.second) * 0.5;
		result.second = (result.second + tmp.first) * 0.5;
	}
	cout.precision(18);
	cout << fixed << showpoint;  
	cout << result.first << endl;
	cout << result.second << endl;
	cout << 1.0 - result.first - result.second << endl;
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3624kb

input:

2 3
2 5
3 4 1

output:

0.125000000000000000
0.750000000000000000
0.125000000000000000

result:

ok 3 numbers

Test #2:

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

input:

6 6
1 1 4 5 1 4
1 1 4 5 1 4

output:

0.241867283950617240
0.241867283950617240
0.516265432098765520

result:

ok 3 numbers

Test #3:

score: 0
Accepted
time: 2ms
memory: 3664kb

input:

7 7
1 1 1 1 1 1 1
1 1 1 1 1 1 1

output:

0.000000000000000000
0.000000000000000000
1.000000000000000000

result:

ok 3 numbers

Test #4:

score: 0
Accepted
time: 2ms
memory: 3664kb

input:

1 7
7
1 1 1 1 1 1 1

output:

0.000000000000000000
0.000000000000000000
1.000000000000000000

result:

ok 3 numbers

Test #5:

score: 0
Accepted
time: 2ms
memory: 3564kb

input:

2 3
736618938 652769331
328875880 97571721 44608905

output:

1.000000000000000000
0.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #6:

score: 0
Accepted
time: 3ms
memory: 3588kb

input:

5 4
53585130 731696211 668322278 611205195 158818781
569587984 776042583 745745433 330119007

output:

0.066840277777777776
0.664351851851851860
0.268807870370370350

result:

ok 3 numbers

Test #7:

score: 0
Accepted
time: 2ms
memory: 3512kb

input:

7 2
578505806 551611151 92903265 403642038 542119417 57334031 307573613
897644535 168524310

output:

0.999999999999999778
0.000000000000000000
0.000000000000000222

result:

ok 3 numbers

Test #8:

score: 0
Accepted
time: 0ms
memory: 4540kb

input:

5 6
113196606 64768263 772808463 787707989 500151952
481840741 676847825 4641268 431386165 847736311 169677832

output:

0.136323173868312747
0.522397183641975293
0.341279642489711987

result:

ok 3 numbers

Test #9:

score: 0
Accepted
time: 28ms
memory: 9232kb

input:

6 6
260666773 527612597 471926610 702232282 559007797 606173983
560573055 928117268 101411867 875949818 907478252 182117037

output:

0.000000000000000000
0.960819573045267439
0.039180426954732561

result:

ok 3 numbers

Test #10:

score: 0
Accepted
time: 0ms
memory: 3508kb

input:

3 3
333377599 3066695 67916629
426841530 865184552 974638244

output:

0.000000000000000000
1.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #11:

score: 0
Accepted
time: 2ms
memory: 3512kb

input:

1 1
529429019
529428649

output:

1.000000000000000000
0.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #12:

score: 0
Accepted
time: 2ms
memory: 3516kb

input:

3 3
12886596 817437415 465037461
12886473 817437448 465037967

output:

0.069444444444444448
0.652777777777777679
0.277777777777777901

result:

ok 3 numbers

Test #13:

score: 0
Accepted
time: 27ms
memory: 9900kb

input:

6 6
211213374 319527017 257080158 176742665 53109345 33822515
53109265 319527076 176743175 257080012 211212799 33822353

output:

0.423399959276406057
0.319386584790809280
0.257213455932784663

result:

ok 3 numbers

Test #14:

score: 0
Accepted
time: 2ms
memory: 3564kb

input:

1 2
1
1 1

output:

0.000000000000000000
1.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #15:

score: 0
Accepted
time: 2ms
memory: 3472kb

input:

1 2
1
1 3

output:

0.000000000000000000
1.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #16:

score: 0
Accepted
time: 2ms
memory: 3572kb

input:

1 2
2
4 2

output:

0.000000000000000000
1.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #17:

score: 0
Accepted
time: 0ms
memory: 3496kb

input:

1 2
3
5 5

output:

0.000000000000000000
1.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #18:

score: 0
Accepted
time: 2ms
memory: 3568kb

input:

1 2
4
1 2

output:

1.000000000000000000
0.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #19:

score: 0
Accepted
time: 2ms
memory: 3628kb

input:

1 2
5
2 5

output:

0.000000000000000000
0.000000000000000000
1.000000000000000000

result:

ok 3 numbers

Test #20:

score: 0
Accepted
time: 1ms
memory: 3668kb

input:

1 2
5
5 5

output:

0.000000000000000000
1.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #21:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

2 2
1 1
1 3

output:

0.000000000000000000
1.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #22:

score: 0
Accepted
time: 2ms
memory: 3652kb

input:

2 2
1 1
2 3

output:

0.000000000000000000
1.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #23:

score: 0
Accepted
time: 2ms
memory: 3500kb

input:

2 2
1 4
2 5

output:

0.000000000000000000
0.500000000000000000
0.500000000000000000

result:

ok 3 numbers

Test #24:

score: 0
Accepted
time: 2ms
memory: 3508kb

input:

2 2
2 2
1 4

output:

0.000000000000000000
0.000000000000000000
1.000000000000000000

result:

ok 3 numbers

Test #25:

score: 0
Accepted
time: 2ms
memory: 3652kb

input:

2 2
3 2
4 1

output:

0.000000000000000000
0.500000000000000000
0.500000000000000000

result:

ok 3 numbers

Test #26:

score: 0
Accepted
time: 2ms
memory: 3500kb

input:

2 2
3 3
1 3

output:

1.000000000000000000
0.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #27:

score: 0
Accepted
time: 2ms
memory: 3568kb

input:

2 2
3 3
2 4

output:

0.000000000000000000
0.000000000000000000
1.000000000000000000

result:

ok 3 numbers

Test #28:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

2 2
3 3
5 3

output:

0.000000000000000000
1.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #29:

score: 0
Accepted
time: 2ms
memory: 3500kb

input:

2 2
4 3
2 1

output:

1.000000000000000000
0.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #30:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

2 2
4 3
4 4

output:

0.000000000000000000
1.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #31:

score: 0
Accepted
time: 2ms
memory: 3652kb

input:

2 2
5 1
5 2

output:

0.125000000000000000
0.625000000000000000
0.250000000000000000

result:

ok 3 numbers

Test #32:

score: 0
Accepted
time: 2ms
memory: 3532kb

input:

2 2
5 1
5 3

output:

0.125000000000000000
0.625000000000000000
0.250000000000000000

result:

ok 3 numbers

Test #33:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

2 2
5 2
2 3

output:

0.875000000000000000
0.000000000000000000
0.125000000000000000

result:

ok 3 numbers

Test #34:

score: 0
Accepted
time: 2ms
memory: 3532kb

input:

2 2
5 4
1 2

output:

1.000000000000000000
0.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #35:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

2 2
5 4
3 5

output:

0.875000000000000000
0.000000000000000000
0.125000000000000000

result:

ok 3 numbers

Test #36:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

2 2
5 5
1 4

output:

1.000000000000000000
0.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #37:

score: 0
Accepted
time: 2ms
memory: 3508kb

input:

2 2
5 5
2 2

output:

1.000000000000000000
0.000000000000000000
0.000000000000000000

result:

ok 3 numbers

Test #38:

score: 0
Accepted
time: 2ms
memory: 3508kb

input:

1 1
6
6

output:

0.000000000000000000
0.000000000000000000
1.000000000000000000

result:

ok 3 numbers

Test #39:

score: 0
Accepted
time: 2ms
memory: 3708kb

input:

5 5
6 5 9 9 3
3 5 9 9 6

output:

0.297870370370370341
0.278773148148148131
0.423356481481481528

result:

ok 3 numbers

Test #40:

score: 0
Accepted
time: 14ms
memory: 6392kb

input:

6 6
10 2 3 4 5 7
5 2 4 3 10 7

output:

0.254010456854423861
0.192773705418381347
0.553215837727194737

result:

ok 3 numbers

Test #41:

score: 0
Accepted
time: 66ms
memory: 12912kb

input:

7 7
7 6 8 6 7 3 9
7 6 9 8 7 3 6

output:

0.310913751425669460
0.365768367914019676
0.323317880660310863

result:

ok 3 numbers

Test #42:

score: 0
Accepted
time: 3ms
memory: 4460kb

input:

6 6
5 4 7 9 9 10
9 4 9 7 5 10

output:

0.216942435056584337
0.327856545781892994
0.455201019161522669

result:

ok 3 numbers

Test #43:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

4 4
9 7 10 6
9 7 6 10

output:

0.330873842592592560
0.262297453703703665
0.406828703703703720

result:

ok 3 numbers

Test #44:

score: 0
Accepted
time: 2ms
memory: 3508kb

input:

3 3
3 10 3
3 10 3

output:

0.187500000000000000
0.187500000000000000
0.625000000000000000

result:

ok 3 numbers

Test #45:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

2 2
3 4
3 4

output:

0.000000000000000000
0.000000000000000000
1.000000000000000000

result:

ok 3 numbers

Test #46:

score: 0
Accepted
time: 242ms
memory: 28712kb

input:

7 7
922750124 99645786 685060385 948410807 266950246 996521461 883971852
266950246 99645786 883971852 685060385 922750124 996521461 948410807

output:

0.363356371416236223
0.279566405511857519
0.357077223071906258

result:

ok 3 numbers

Test #47:

score: 0
Accepted
time: 463ms
memory: 49332kb

input:

7 7
241155912 361580213 393947982 781406405 485516551 277202028 115028196
485516551 361580213 115028196 393947982 241155912 277202028 781406405

output:

0.370176093599871969
0.278789945303564157
0.351033961096563818

result:

ok 3 numbers

Test #48:

score: 0
Accepted
time: 159ms
memory: 20460kb

input:

7 7
565748008 734938287 873800405 879803305 473331973 893190834 623040014
473331973 734938287 623040014 873800405 565748008 893190834 879803305

output:

0.364305908016636648
0.315603554227117833
0.320090537756245519

result:

ok 3 numbers

Test #49:

score: 0
Accepted
time: 180ms
memory: 26788kb

input:

7 7
14 4 6 5 201506030 15 15
4 14 201506030 15 15 6 5

output:

0.178183791652377688
0.337081509869894491
0.484734698477727877

result:

ok 3 numbers

Test #50:

score: 0
Accepted
time: 161ms
memory: 20100kb

input:

7 7
3 2 3 5 784861968 2 1
2 3 784861968 1 2 3 5

output:

0.223075021873287371
0.316151580233161700
0.460773397893550873

result:

ok 3 numbers

Test #51:

score: 0
Accepted
time: 854ms
memory: 85768kb

input:

7 7
8 15 3 9 168061718 2 5
15 8 168061718 5 2 3 9

output:

0.212969595988052429
0.319962995067213818
0.467067408944733753

result:

ok 3 numbers

Test #52:

score: 0
Accepted
time: 92ms
memory: 18672kb

input:

7 7
859736717 19 19 18 13 10 7
7 10 13 18 19 19 859736717

output:

0.393620652595213893
0.147967266251600948
0.458412081153185103

result:

ok 3 numbers

Test #53:

score: 0
Accepted
time: 317ms
memory: 41344kb

input:

7 7
761045932 18 13 11 9 7 6
6 7 9 11 13 18 761045932

output:

0.382467689555167190
0.147493238654726661
0.470039071790106178

result:

ok 3 numbers

Test #54:

score: 0
Accepted
time: 361ms
memory: 45768kb

input:

7 7
379524878 17 16 14 10 6 1
1 6 10 14 16 17 379524878

output:

0.379260293299904239
0.176536722079842723
0.444202984620253094

result:

ok 3 numbers

Test #55:

score: 0
Accepted
time: 121ms
memory: 22132kb

input:

7 7
986258805 329018732 16 14 10 10 4
4 10 10 14 16 329018732 986258805

output:

0.335206523508067122
0.168228186481800795
0.496565290010132054

result:

ok 3 numbers

Test #56:

score: 0
Accepted
time: 154ms
memory: 25808kb

input:

7 7
402437510 39859989 20 20 18 17 7
7 17 18 20 20 39859989 402437510

output:

0.328699473643151496
0.160263058268706182
0.511037468088142321

result:

ok 3 numbers

Test #57:

score: 0
Accepted
time: 410ms
memory: 51184kb

input:

7 7
719895666 88341845 15 11 10 6 5
5 6 10 11 15 88341845 719895666

output:

0.341541058762872218
0.169436596665697381
0.489022344571430345

result:

ok 3 numbers

Test #58:

score: 0
Accepted
time: 704ms
memory: 69032kb

input:

7 7
22 657372492 8 20 531193761 10 21
8 22 20 657372492 531193761 21 10

output:

0.283032035858508557
0.214331641402718376
0.502636322738773123

result:

ok 3 numbers

Test #59:

score: 0
Accepted
time: 736ms
memory: 69624kb

input:

7 7
8 559730577 2 23 543514141 3 24
2 8 23 559730577 543514141 24 3

output:

0.283681616583426055
0.222015713449777663
0.494302669966796282

result:

ok 3 numbers

Test #60:

score: 0
Accepted
time: 480ms
memory: 45904kb

input:

7 7
24 416408320 4 25 698151361 24 15
4 24 25 416408320 698151361 15 24

output:

0.297516368442784840
0.247286586967483429
0.455197044589731759

result:

ok 3 numbers