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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#118111#5444. Tavern Chesshos_lyricAC ✓1269ms124412kbC++144.2kb2023-07-03 03:46:412023-07-03 03:46:51

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.
  • [2023-07-03 03:46:51]
  • 评测
  • 测评结果:AC
  • 用时:1269ms
  • 内存:124412kb
  • [2023-07-03 03:46:41]
  • 提交

answer

#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

using namespace std;

using Int = long long;

template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }


using Double = double;

int N[2];
Int A[2][7];

Int ASum[2][1 << 7];

map<vector<int>, pair<Double, Double>> cache[2][7][7];
pair<Double, Double> solve(int turn, int cur0, int cur1, const vector<int> &ps) {
#define id(h, i) ((h) ? (N[0] + (i)) : (i))
  int alive[2] = {};
  for (int h = 0; h < 2; ++h) for (int i = 0; i < N[h]; ++i) {
    if (~ps[id(h, i)]) {
      ++alive[h];
    }
  }
  if (!alive[0] && !alive[1]) return make_pair(0.0, 0.0);
  if (!alive[0]) return make_pair(0.0, 1.0);
  if (!alive[1]) return make_pair(1.0, 0.0);
  
  for (; !~ps[id(0, cur0)]; ) if (++cur0 == N[0]) cur0 = 0;
  for (; !~ps[id(1, cur1)]; ) if (++cur1 == N[1]) cur1 = 0;
  int nxt0 = cur0;
  int nxt1 = cur1;
  if (turn == 0) if (++nxt0 == N[0]) nxt0 = 0;
  if (turn == 1) if (++nxt1 == N[1]) nxt1 = 0;
  
  auto it = cache[turn][cur0][cur1].find(ps);
  if (it != cache[turn][cur0][cur1].end()) return it->second;
  Double ret[2] = {};
  
  const int i = turn ? cur1 : cur0;
  for (int j = 0; j < N[turn ^ 1]; ++j) if (~ps[id(turn ^ 1, j)]) {
    const Int ai = A[turn    ][i];
    const Int aj = A[turn ^ 1][j];
    const Int hi = ai - ASum[turn ^ 1][ps[id(turn, i)]];
    const Int hj = aj - ASum[turn    ][ps[id(turn ^ 1, j)]];
    auto qs = ps;
    if (hi > aj) {
      if (hj > ai) {
        assert(false);
      } else {
        qs[id(turn, i)] |= 1 << j;
        qs[id(turn ^ 1, j)] = -1;
      }
    } else {
      if (hj > ai) {
        qs[id(turn, i)] = -1;
        qs[id(turn ^ 1, j)] |= 1 << i;
      } else {
        qs[id(turn, i)] = -1;
        qs[id(turn ^ 1, j)] = -1;
      }
    }
    const auto res = solve(turn ^ 1, nxt0, nxt1, qs);
    ret[0] += res.first;
    ret[1] += res.second;
  }
  for (int h = 0; h < 2; ++h) {
    ret[h] /= alive[turn ^ 1];
  }
#undef id
  
// if(N[0]==2)cerr<<turn<<" "<<cur0<<" "<<cur1<<" "<<ps<<": "<<ret[0]<<" "<<ret[1]<<endl;
  return cache[turn][cur0][cur1][ps] = make_pair(ret[0], ret[1]);
}

int main() {
  for (; ~scanf("%d%d", &N[0], &N[1]); ) {
    for (int h = 0; h < 2; ++h) for (int i = 0; i < N[h]; ++i) {
      scanf("%lld", &A[h][i]);
    }
    
    for (int h = 0; h < 2; ++h) {
      for (int i = 0; i < N[h]; ++i) {
        for (int p = 0; p < 1 << i; ++p) {
          ASum[h][p | 1 << i] = ASum[h][p] + A[h][i];
        }
      }
    }
    
    for (int h = 0; h < 2; ++h) {
      for (int i0 = 0; i0 < N[0]; ++i0) for (int i1 = 0; i1 < N[1]; ++i1) {
        cache[h][i0][i1].clear();
      }
    }
    Double ans[2] = {};
    for (int h = 0; h < 2; ++h) if (N[h] >= N[h ^ 1]) {
// cerr<<"start turn = "<<h<<endl;
      const auto res = solve(h, 0, 0, vector<int>(N[0] + N[1], 0));
      ans[0] += res.first;
      ans[1] += res.second;
    }
    if (N[0] == N[1]) {
      for (int h = 0; h < 2; ++h) {
        ans[h] /= 2.0;
      }
    }
    
    printf("%.12f\n", ans[0]);
    printf("%.12f\n", ans[1]);
    printf("%.12f\n", 1.0 - (ans[0] + ans[1]));
  }
  return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3648kb

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: 8ms
memory: 5004kb

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: 1ms
memory: 3844kb

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: 1ms
memory: 3644kb

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: 1ms
memory: 3644kb

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: 3708kb

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: 1ms
memory: 3768kb

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: 4ms
memory: 4752kb

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: 28ms
memory: 9244kb

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: 0ms
memory: 3660kb

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: 1ms
memory: 3652kb

input:

1 1
529429019
529428649

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #12:

score: 0
Accepted
time: 1ms
memory: 3652kb

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: 37ms
memory: 10316kb

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: 1ms
memory: 3656kb

input:

1 2
1
1 1

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #15:

score: 0
Accepted
time: 1ms
memory: 3772kb

input:

1 2
1
1 3

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #16:

score: 0
Accepted
time: 1ms
memory: 3728kb

input:

1 2
2
4 2

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #17:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

1 2
3
5 5

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #18:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

1 2
4
1 2

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #19:

score: 0
Accepted
time: 1ms
memory: 3772kb

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: 3616kb

input:

1 2
5
5 5

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #21:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

2 2
1 1
1 3

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #22:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

2 2
1 1
2 3

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #23:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

2 2
1 4
2 5

output:

0.000000000000
0.500000000000
0.500000000000

result:

ok 3 numbers

Test #24:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

2 2
2 2
1 4

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #25:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

2 2
3 2
4 1

output:

0.000000000000
0.500000000000
0.500000000000

result:

ok 3 numbers

Test #26:

score: 0
Accepted
time: 1ms
memory: 3768kb

input:

2 2
3 3
1 3

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #27:

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

input:

2 2
3 3
2 4

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #28:

score: 0
Accepted
time: 1ms
memory: 3644kb

input:

2 2
3 3
5 3

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #29:

score: 0
Accepted
time: 1ms
memory: 3716kb

input:

2 2
4 3
2 1

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #30:

score: 0
Accepted
time: 1ms
memory: 3716kb

input:

2 2
4 3
4 4

output:

0.000000000000
1.000000000000
0.000000000000

result:

ok 3 numbers

Test #31:

score: 0
Accepted
time: 1ms
memory: 3712kb

input:

2 2
5 1
5 2

output:

0.125000000000
0.625000000000
0.250000000000

result:

ok 3 numbers

Test #32:

score: 0
Accepted
time: 1ms
memory: 3648kb

input:

2 2
5 1
5 3

output:

0.125000000000
0.625000000000
0.250000000000

result:

ok 3 numbers

Test #33:

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

input:

2 2
5 2
2 3

output:

0.875000000000
0.000000000000
0.125000000000

result:

ok 3 numbers

Test #34:

score: 0
Accepted
time: 1ms
memory: 3772kb

input:

2 2
5 4
1 2

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #35:

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

input:

2 2
5 5
1 4

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #37:

score: 0
Accepted
time: 1ms
memory: 3712kb

input:

2 2
5 5
2 2

output:

1.000000000000
0.000000000000
0.000000000000

result:

ok 3 numbers

Test #38:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

1 1
6
6

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #39:

score: 0
Accepted
time: 2ms
memory: 3828kb

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: 19ms
memory: 7176kb

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: 146ms
memory: 23684kb

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: 6ms
memory: 5376kb

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: 1ms
memory: 3672kb

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: 1ms
memory: 3616kb

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: 1ms
memory: 3660kb

input:

2 2
3 4
3 4

output:

0.000000000000
0.000000000000
1.000000000000

result:

ok 3 numbers

Test #46:

score: 0
Accepted
time: 257ms
memory: 35176kb

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: 589ms
memory: 61848kb

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: 172ms
memory: 24392kb

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: 492ms
memory: 58728kb

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: 515ms
memory: 58076kb

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: 1269ms
memory: 124412kb

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: 258ms
memory: 39040kb

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: 379ms
memory: 52644kb

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: 447ms
memory: 57040kb

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: 437ms
memory: 60516kb

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: 390ms
memory: 56508kb

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: 509ms
memory: 68276kb

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: 902ms
memory: 102084kb

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: 894ms
memory: 98628kb

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: 747ms
memory: 84084kb

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