QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#84245#5444. Tavern ChessSvyatAC ✓2956ms247364kbC++173.9kb2023-03-06 03:11:232023-03-06 03:11:26

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 03:11:26]
  • 评测
  • 测评结果:AC
  • 用时:2956ms
  • 内存:247364kb
  • [2023-03-06 03:11:23]
  • 提交

answer

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

int n, m, aa[11], bb[11];

vector<pair<int, int>> a, b;

using shit = pair<vector<pair<int, int>>, vector<pair<int, int>>>;

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

unordered_map<pair<vector<pair<int, int>>, vector<pair<int, int>>>, pair<double, double>, Hasher> dp[2][7][7];
    
pair<double, double> solve(vector<pair<int, int>> a, vector<pair<int, int>> b, int pos1, int pos2, bool f) {
	if (a.size() == 0 && b.size() == 0)
		return {0.0, 0.0};
 	if (a.size() == 0)
 		return {0.0, 1.0};
 	if (b.size() == 0)
 		return {1.0, 0.0};
	if (dp[f][pos1][pos2].find({a, b}) != dp[f][pos1][pos2].end())
		return dp[f][pos1][pos2][{a, b}];
	pair<double, double> res = {0.0, 0.0};
	if (!f) {
		int mn = n, pp = -1;
		for (int i = 0; i < (int)a.size(); ++i) {
			if ((a[i].second - pos1 + n) % n < mn) {
				mn = (a[i].second - pos1 + n) % n;
				pp = i;
			}
		}
		for (int i = 0; i < (int)b.size(); ++i) {
			vector<pair<int, int>> toa, tob;
			
			for (int j = 0; j < (int)a.size(); ++j) {
				if (j == pp && a[pp].first - bb[b[i].second] > 0)
					toa.push_back({a[pp].first - bb[b[i].second], a[pp].second});
				if (j == pp)
					continue;
				toa.push_back({a[j].first, a[j].second});
			}
			for (int j = 0; j < (int)b.size(); ++j) {
				if (j == i && b[i].first - aa[a[pp].second] > 0)
					tob.push_back({b[i].first - aa[a[pp].second], b[i].second});
				if (j == i)
					continue;
				tob.push_back({b[j].first, b[j].second});
			}
      
			auto cur = solve(toa, tob, (a[pp].second + 1) % n, pos2, f ^ 1);
			res.first += cur.first;
			res.second += cur.second;
    }
    res.first /= b.size() * 1.0;
	  res.second /= b.size() * 1.0;
	} else {
		int mn = m, pp = -1;
		for (int i = 0; i < (int)b.size(); ++i) {
			if ((b[i].second - pos2 + m) % m < mn) {
				mn = (b[i].second - pos2 + m) % m;
				pp = i;
			}
		}
		
		for (int i = 0; i < (int)a.size(); ++i) {
			vector<pair<int, int>> toa, tob;
			for (int j = 0; j < (int)b.size(); ++j) {
				if (j == pp && b[pp].first - aa[a[i].second] > 0)
					tob.push_back({b[pp].first - aa[a[i].second], b[pp].second});
				if (j == pp)
					continue;
				tob.push_back({b[j].first, b[j].second});
			}
			for (int j = 0; j < (int)a.size(); ++j) {
				if (j == i && a[i].first - bb[b[pp].second] > 0)
					toa.push_back({a[i].first - bb[b[pp].second], a[i].second});
				if (j == i)
					continue;
				toa.push_back({a[j].first, a[j].second});
			}
			
			auto cur = solve(toa, tob, pos1, (b[pp].second + 1) % m, f ^ 1);
			res.first += cur.first;
			res.second += cur.second;
		} 	
		res.first /= a.size() * 1.0;
  	res.second /= a.size() * 1.0;
  }
  return dp[f][pos1][pos2][{a, b}] = res;
}    

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout << setprecision(12) << fixed;
#ifdef LOCAL
    freopen("xxx.in", "r", stdin);
    freopen("xxx.out", "w", stdout);
#endif
	cin >> n >> m;
	for (int i = 0; i < n; ++i) {
		cin >> aa[i];
		a.push_back({aa[i], i});
	}
	for (int i = 0; i < m; ++i) {
		cin >> bb[i];
		b.push_back({bb[i], i});
	}
	pair<double, double> res = {0.0, 0.0};
  if (n < m)
  	res = solve(a, b, 0, 0, 1);
  if (n > m)
  	res = solve(a, b, 0, 0, 0);
  if (n == m) {
  	auto res1 = solve(a, b, 0, 0, 0);
  	auto res2 = solve(a, b, 0, 0, 1);
  	res.first = (res1.first + res2.first) / 2.0;
  	res.second = (res1.second + res2.second) / 2.0;
  }	
  cout << res.first << "\n" << res.second << "\n" << (1.0 - res.first - res.second) << "\n";  
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3544kb

input:

2 3
2 5
3 4 1

output:

0.125000000000
0.750000000000
0.125000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 6ms
memory: 4592kb

input:

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

output:

0.241867283951
0.241867283951
0.516265432099

result:

ok 3 numbers

Test #3:

score: 0
Accepted
time: 3ms
memory: 3776kb

input:

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

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #4:

score: 0
Accepted
time: 2ms
memory: 3680kb

input:

1 7
7
1 1 1 1 1 1 1

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #5:

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

input:

2 3
736618938 652769331
328875880 97571721 44608905

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #6:

score: 0
Accepted
time: 1ms
memory: 3636kb

input:

5 4
53585130 731696211 668322278 611205195 158818781
569587984 776042583 745745433 330119007

output:

0.066840277778
0.664351851852
0.268807870370

result:

ok 3 numbers

Test #7:

score: 0
Accepted
time: 2ms
memory: 3576kb

input:

7 2
578505806 551611151 92903265 403642038 542119417 57334031 307573613
897644535 168524310

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #8:

score: 0
Accepted
time: 5ms
memory: 5068kb

input:

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

output:

0.136323173868
0.522397183642
0.341279642490

result:

ok 3 numbers

Test #9:

score: 0
Accepted
time: 48ms
memory: 11948kb

input:

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

output:

0.000000000000
0.960819573045
0.039180426955

result:

ok 3 numbers

Test #10:

score: 0
Accepted
time: 2ms
memory: 3692kb

input:

3 3
333377599 3066695 67916629
426841530 865184552 974638244

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #11:

score: 0
Accepted
time: 0ms
memory: 3488kb

input:

1 1
529429019
529428649

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #12:

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

input:

3 3
12886596 817437415 465037461
12886473 817437448 465037967

output:

0.069444444444
0.652777777778
0.277777777778

result:

ok 3 numbers

Test #13:

score: 0
Accepted
time: 70ms
memory: 16576kb

input:

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

output:

0.423399959276
0.319386584791
0.257213455933

result:

ok 3 numbers

Test #14:

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

input:

1 2
1
1 1

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #15:

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

input:

1 2
1
1 3

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #16:

score: 0
Accepted
time: 2ms
memory: 3684kb

input:

1 2
2
4 2

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #17:

score: 0
Accepted
time: 2ms
memory: 3524kb

input:

1 2
3
5 5

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #18:

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

input:

1 2
4
1 2

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #19:

score: 0
Accepted
time: 2ms
memory: 3524kb

input:

1 2
5
2 5

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #20:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

1 2
5
5 5

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #21:

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

input:

2 2
1 1
1 3

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #22:

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

input:

2 2
1 1
2 3

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #23:

score: 0
Accepted
time: 1ms
memory: 3656kb

input:

2 2
1 4
2 5

output:

0.000000000000
0.500000000000
0.500000000000

result:

ok 3 numbers

Test #24:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

2 2
2 2
1 4

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #25:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

2 2
3 2
4 1

output:

0.000000000000
0.500000000000
0.500000000000

result:

ok 3 numbers

Test #26:

score: 0
Accepted
time: 2ms
memory: 3556kb

input:

2 2
3 3
1 3

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #27:

score: 0
Accepted
time: 2ms
memory: 3584kb

input:

2 2
3 3
2 4

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #28:

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

input:

2 2
3 3
5 3

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #29:

score: 0
Accepted
time: 2ms
memory: 3684kb

input:

2 2
4 3
2 1

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #30:

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

input:

2 2
4 3
4 4

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #31:

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

input:

2 2
5 1
5 2

output:

0.125000000000
0.625000000000
0.250000000000

result:

ok 3 numbers

Test #32:

score: 0
Accepted
time: 2ms
memory: 3684kb

input:

2 2
5 1
5 3

output:

0.125000000000
0.625000000000
0.250000000000

result:

ok 3 numbers

Test #33:

score: 0
Accepted
time: 2ms
memory: 3504kb

input:

2 2
5 2
2 3

output:

0.875000000000
0.000000000000
0.125000000000

result:

ok 3 numbers

Test #34:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

2 2
5 4
1 2

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #35:

score: 0
Accepted
time: 2ms
memory: 3688kb

input:

2 2
5 4
3 5

output:

0.875000000000
0.000000000000
0.125000000000

result:

ok 3 numbers

Test #36:

score: 0
Accepted
time: 0ms
memory: 3520kb

input:

2 2
5 5
1 4

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #37:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

2 2
5 5
2 2

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #38:

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

input:

1 1
6
6

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #39:

score: 0
Accepted
time: 1ms
memory: 3848kb

input:

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

output:

0.297870370370
0.278773148148
0.423356481481

result:

ok 3 numbers

Test #40:

score: 0
Accepted
time: 28ms
memory: 8732kb

input:

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

output:

0.254010456854
0.192773705418
0.553215837727

result:

ok 3 numbers

Test #41:

score: 0
Accepted
time: 259ms
memory: 31300kb

input:

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

output:

0.310913751426
0.365768367914
0.323317880660

result:

ok 3 numbers

Test #42:

score: 0
Accepted
time: 13ms
memory: 6112kb

input:

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

output:

0.216942435057
0.327856545782
0.455201019162

result:

ok 3 numbers

Test #43:

score: 0
Accepted
time: 2ms
memory: 3556kb

input:

4 4
9 7 10 6
9 7 6 10

output:

0.330873842593
0.262297453704
0.406828703704

result:

ok 3 numbers

Test #44:

score: 0
Accepted
time: 2ms
memory: 3696kb

input:

3 3
3 10 3
3 10 3

output:

0.187500000000
0.187500000000
0.625000000000

result:

ok 3 numbers

Test #45:

score: 0
Accepted
time: 0ms
memory: 3580kb

input:

2 2
3 4
3 4

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #46:

score: 0
Accepted
time: 509ms
memory: 52424kb

input:

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

output:

0.363356371416
0.279566405512
0.357077223072

result:

ok 3 numbers

Test #47:

score: 0
Accepted
time: 1183ms
memory: 108568kb

input:

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

output:

0.370176093600
0.278789945304
0.351033961097

result:

ok 3 numbers

Test #48:

score: 0
Accepted
time: 325ms
memory: 36824kb

input:

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

output:

0.364305908017
0.315603554227
0.320090537756

result:

ok 3 numbers

Test #49:

score: 0
Accepted
time: 927ms
memory: 84340kb

input:

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

output:

0.178183791652
0.337081509870
0.484734698478

result:

ok 3 numbers

Test #50:

score: 0
Accepted
time: 659ms
memory: 60784kb

input:

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

output:

0.223075021873
0.316151580233
0.460773397894

result:

ok 3 numbers

Test #51:

score: 0
Accepted
time: 2956ms
memory: 247364kb

input:

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

output:

0.212969595988
0.319962995067
0.467067408945

result:

ok 3 numbers

Test #52:

score: 0
Accepted
time: 479ms
memory: 53776kb

input:

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

output:

0.393620652595
0.147967266252
0.458412081153

result:

ok 3 numbers

Test #53:

score: 0
Accepted
time: 849ms
memory: 85004kb

input:

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

output:

0.382467689555
0.147493238655
0.470039071790

result:

ok 3 numbers

Test #54:

score: 0
Accepted
time: 982ms
memory: 92960kb

input:

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

output:

0.379260293300
0.176536722080
0.444202984620

result:

ok 3 numbers

Test #55:

score: 0
Accepted
time: 614ms
memory: 62300kb

input:

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

output:

0.335206523508
0.168228186482
0.496565290010

result:

ok 3 numbers

Test #56:

score: 0
Accepted
time: 655ms
memory: 68080kb

input:

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

output:

0.328699473643
0.160263058269
0.511037468088

result:

ok 3 numbers

Test #57:

score: 0
Accepted
time: 1166ms
memory: 105296kb

input:

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

output:

0.341541058763
0.169436596666
0.489022344571

result:

ok 3 numbers

Test #58:

score: 0
Accepted
time: 2572ms
memory: 209352kb

input:

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

output:

0.283032035859
0.214331641403
0.502636322739

result:

ok 3 numbers

Test #59:

score: 0
Accepted
time: 2120ms
memory: 183088kb

input:

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

output:

0.283681616583
0.222015713450
0.494302669967

result:

ok 3 numbers

Test #60:

score: 0
Accepted
time: 1530ms
memory: 130440kb

input:

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

output:

0.297516368443
0.247286586967
0.455197044590

result:

ok 3 numbers