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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#73932#5444. Tavern ChessnweeksAC ✓2039ms3704kbC++174.4kb2023-01-29 16:46:022023-01-29 16:46:05

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.
  • [2023-01-29 16:46:05]
  • 评测
  • 测评结果:AC
  • 用时:2039ms
  • 内存:3704kb
  • [2023-01-29 16:46:02]
  • 提交

answer

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

string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
  bool first = true;
  string res = "[";
  for (const auto &x : v) {
    if (!first)
      res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "]";
  return res;
}

void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
  cout << ' ' << to_string(H);
  dbg_out(T...);
}

#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

const int MAXN = 7;
int alice[MAXN], bob[MAXN];
int cntL, cntR;

tuple<double, double, double> solve(vector<int> killedA, vector<int> killedB,
                                    int side, vector<int> freqA,
                                    vector<int> freqB) {

  int aliveA = 0, aliveB = 0;
  for (int x : killedA)
    if (x == -1)
      aliveA++;
  for (int x : killedB)
    if (x == -1)
      aliveB++;

  double probA = 0, probDraw = 0, probB = 0;

  if (aliveA == 0 and aliveB == 0) {
    probDraw = 1;
    return tuple(probA, probDraw, probB);
  } else if (aliveA == 0) {
    probB = 1;
    return tuple(probA, probDraw, probB);
  } else if (aliveB == 0) {
    probA = 1;
    return tuple(probA, probDraw, probB);
  }
  vector<int> hpAlice(cntL), hpBob(cntR);
  for (int i = 0; i < cntL; ++i)
    hpAlice[i] = alice[i];
  for (int i = 0; i < cntR; ++i)
    hpBob[i] = bob[i];
  for (int i = 0; i < cntL; ++i)
    if (killedA[i] >= 0)
      hpBob[killedA[i]] -= alice[i];
  for (int i = 0; i < cntR; ++i)
    if (killedB[i] >= 0)
      hpAlice[killedB[i]] -= bob[i];

  auto playAlice = [&]() {
    int pos = 0;
    while (killedA[pos] != -1)
      ++pos;
    for (int i = pos + 1; i < cntL; ++i)
      if (killedA[i] == -1 and freqA[i] < freqA[pos])
        pos = i;
    double a = 0, d = 0, b = 0;
    for (int i = 0; i < cntR; ++i)
      if (killedB[i] == -1) {
        if (alice[pos] >= hpBob[i])
          killedB[i] = pos;
        if (bob[i] >= hpAlice[pos])
          killedA[pos] = i;
        freqA[pos]++;
        auto [aa, dd, bb] = solve(killedA, killedB, 1, freqA, freqB);
        freqA[pos]--;
        killedA[pos] = -1;
        killedB[i] = -1;
        a += aa / aliveB, d += dd / aliveB, b += bb / aliveB;
      }
    return tuple(a, d, b);
  };
  auto playBob = [&]() {
    int pos = 0;
    while (killedB[pos] != -1)
      ++pos;
    for (int i = pos + 1; i < cntR; ++i)
      if (killedB[i] == -1 and freqB[i] < freqB[pos])
        pos = i;
    double a = 0, d = 0, b = 0;
    for (int i = 0; i < cntL; ++i)
      if (killedA[i] == -1) {
        if (alice[i] >= hpBob[pos])
          killedB[pos] = i;
        if (bob[pos] >= hpAlice[i])
          killedA[i] = pos;
        freqB[pos]++;
        auto [aa, dd, bb] = solve(killedA, killedB, -1, freqA, freqB);
        freqB[pos]--;
        killedA[i] = -1;
        killedB[pos] = -1;
        a += aa / aliveA, d += dd / aliveA, b += bb / aliveA;
      }
    return tuple(a, d, b);
  };

  if (side == 0) {
    if (aliveA > aliveB) {
      auto [a, d, b] = playAlice();
      probA = a, probDraw = d, probB = b;
    } else if (aliveA < aliveB) {
      auto [a, d, b] = playBob();
      probA = a, probDraw = d, probB = b;
    } else {
      auto [a, d, b] = playAlice();
      probA = a, probDraw = d, probB = b;
      tie(a, d, b) = playBob();
      probA += a, probDraw += d, probB += b;
      probA /= 2, probDraw /= 2, probB /= 2;
    }
  } else if (side == -1) {
    auto [a, d, b] = playAlice();
    probA = a, probDraw = d, probB = b;
  } else if (side == 1) {
    auto [a, d, b] = playBob();
    probA = a, probDraw = d, probB = b;
  }
  dbg(aliveA, aliveB, side);
  dbg(killedA, killedB, probA, probDraw, probB);
  return tuple(probA, probDraw, probB);
}

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  cin >> cntL >> cntR;

  for (int i = 0; i < cntL; ++i)
    cin >> alice[i];
  for (int i = 0; i < cntR; ++i)
    cin >> bob[i];

  vector<int> killedA(cntL, -1), killedB(cntR, -1);
  vector<int> freqA(cntL, 0), freqB(cntR, 0);
  auto [a, d, b] = solve(killedA, killedB, 0, freqA, freqB);

  cout << setprecision(15) << fixed << a << ' ' << b << ' ' << d << endl;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3548kb

input:

2 3
2 5
3 4 1

output:

0.125000000000000 0.750000000000000 0.125000000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 12ms
memory: 3540kb

input:

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

output:

0.241867283950617 0.241867283950617 0.516265432098765

result:

ok 3 numbers

Test #3:

score: 0
Accepted
time: 6ms
memory: 3648kb

input:

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

output:

0.000000000000000 0.000000000000000 1.000000000000000

result:

ok 3 numbers

Test #4:

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

input:

1 7
7
1 1 1 1 1 1 1

output:

0.000000000000000 0.000000000000000 1.000000000000000

result:

ok 3 numbers

Test #5:

score: 0
Accepted
time: 1ms
memory: 3696kb

input:

2 3
736618938 652769331
328875880 97571721 44608905

output:

1.000000000000000 0.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #6:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

5 4
53585130 731696211 668322278 611205195 158818781
569587984 776042583 745745433 330119007

output:

0.066840277777778 0.664351851851852 0.268807870370370

result:

ok 3 numbers

Test #7:

score: 0
Accepted
time: 2ms
memory: 3548kb

input:

7 2
578505806 551611151 92903265 403642038 542119417 57334031 307573613
897644535 168524310

output:

1.000000000000000 0.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #8:

score: 0
Accepted
time: 7ms
memory: 3544kb

input:

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

output:

0.136323173868313 0.522397183641975 0.341279642489712

result:

ok 3 numbers

Test #9:

score: 0
Accepted
time: 29ms
memory: 3692kb

input:

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

output:

0.000000000000000 0.960819573045267 0.039180426954733

result:

ok 3 numbers

Test #10:

score: 0
Accepted
time: 2ms
memory: 3488kb

input:

3 3
333377599 3066695 67916629
426841530 865184552 974638244

output:

0.000000000000000 1.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #11:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

1 1
529429019
529428649

output:

1.000000000000000 0.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #12:

score: 0
Accepted
time: 2ms
memory: 3540kb

input:

3 3
12886596 817437415 465037461
12886473 817437448 465037967

output:

0.069444444444444 0.652777777777778 0.277777777777778

result:

ok 3 numbers

Test #13:

score: 0
Accepted
time: 47ms
memory: 3540kb

input:

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

output:

0.423399959276406 0.319386584790809 0.257213455932785

result:

ok 3 numbers

Test #14:

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

input:

1 2
1
1 1

output:

0.000000000000000 1.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #15:

score: 0
Accepted
time: 2ms
memory: 3536kb

input:

1 2
1
1 3

output:

0.000000000000000 1.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #16:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

1 2
2
4 2

output:

0.000000000000000 1.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #17:

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

input:

1 2
3
5 5

output:

0.000000000000000 1.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #18:

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

input:

1 2
4
1 2

output:

1.000000000000000 0.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #19:

score: 0
Accepted
time: 2ms
memory: 3496kb

input:

1 2
5
2 5

output:

0.000000000000000 0.000000000000000 1.000000000000000

result:

ok 3 numbers

Test #20:

score: 0
Accepted
time: 1ms
memory: 3536kb

input:

1 2
5
5 5

output:

0.000000000000000 1.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #21:

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

input:

2 2
1 1
1 3

output:

0.000000000000000 1.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #22:

score: 0
Accepted
time: 2ms
memory: 3704kb

input:

2 2
1 1
2 3

output:

0.000000000000000 1.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #23:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

2 2
1 4
2 5

output:

0.000000000000000 0.500000000000000 0.500000000000000

result:

ok 3 numbers

Test #24:

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

input:

2 2
2 2
1 4

output:

0.000000000000000 0.000000000000000 1.000000000000000

result:

ok 3 numbers

Test #25:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

2 2
3 2
4 1

output:

0.000000000000000 0.500000000000000 0.500000000000000

result:

ok 3 numbers

Test #26:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

2 2
3 3
1 3

output:

1.000000000000000 0.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #27:

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

input:

2 2
3 3
2 4

output:

0.000000000000000 0.000000000000000 1.000000000000000

result:

ok 3 numbers

Test #28:

score: 0
Accepted
time: 1ms
memory: 3588kb

input:

2 2
3 3
5 3

output:

0.000000000000000 1.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #29:

score: 0
Accepted
time: 2ms
memory: 3536kb

input:

2 2
4 3
2 1

output:

1.000000000000000 0.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #30:

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

input:

2 2
4 3
4 4

output:

0.000000000000000 1.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #31:

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

input:

2 2
5 1
5 2

output:

0.125000000000000 0.625000000000000 0.250000000000000

result:

ok 3 numbers

Test #32:

score: 0
Accepted
time: 2ms
memory: 3536kb

input:

2 2
5 1
5 3

output:

0.125000000000000 0.625000000000000 0.250000000000000

result:

ok 3 numbers

Test #33:

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

input:

2 2
5 2
2 3

output:

0.875000000000000 0.000000000000000 0.125000000000000

result:

ok 3 numbers

Test #34:

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

input:

2 2
5 4
1 2

output:

1.000000000000000 0.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #35:

score: 0
Accepted
time: 2ms
memory: 3544kb

input:

2 2
5 4
3 5

output:

0.875000000000000 0.000000000000000 0.125000000000000

result:

ok 3 numbers

Test #36:

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

input:

2 2
5 5
1 4

output:

1.000000000000000 0.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #37:

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

input:

2 2
5 5
2 2

output:

1.000000000000000 0.000000000000000 0.000000000000000

result:

ok 3 numbers

Test #38:

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

input:

1 1
6
6

output:

0.000000000000000 0.000000000000000 1.000000000000000

result:

ok 3 numbers

Test #39:

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

input:

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

output:

0.297870370370370 0.278773148148148 0.423356481481482

result:

ok 3 numbers

Test #40:

score: 0
Accepted
time: 26ms
memory: 3548kb

input:

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

output:

0.254010456854424 0.192773705418381 0.553215837727195

result:

ok 3 numbers

Test #41:

score: 0
Accepted
time: 249ms
memory: 3700kb

input:

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

output:

0.310913751425669 0.365768367914020 0.323317880660311

result:

ok 3 numbers

Test #42:

score: 0
Accepted
time: 12ms
memory: 3692kb

input:

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

output:

0.216942435056584 0.327856545781893 0.455201019161523

result:

ok 3 numbers

Test #43:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

4 4
9 7 10 6
9 7 6 10

output:

0.330873842592593 0.262297453703704 0.406828703703704

result:

ok 3 numbers

Test #44:

score: 0
Accepted
time: 2ms
memory: 3544kb

input:

3 3
3 10 3
3 10 3

output:

0.187500000000000 0.187500000000000 0.625000000000000

result:

ok 3 numbers

Test #45:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

2 2
3 4
3 4

output:

0.000000000000000 0.000000000000000 1.000000000000000

result:

ok 3 numbers

Test #46:

score: 0
Accepted
time: 519ms
memory: 3696kb

input:

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

output:

0.363356371416236 0.279566405511857 0.357077223071906

result:

ok 3 numbers

Test #47:

score: 0
Accepted
time: 682ms
memory: 3572kb

input:

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

output:

0.370176093599872 0.278789945303564 0.351033961096564

result:

ok 3 numbers

Test #48:

score: 0
Accepted
time: 375ms
memory: 3700kb

input:

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

output:

0.364305908016637 0.315603554227118 0.320090537756246

result:

ok 3 numbers

Test #49:

score: 0
Accepted
time: 1265ms
memory: 3504kb

input:

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

output:

0.178183791652378 0.337081509869894 0.484734698477728

result:

ok 3 numbers

Test #50:

score: 0
Accepted
time: 665ms
memory: 3612kb

input:

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

output:

0.223075021873287 0.316151580233162 0.460773397893551

result:

ok 3 numbers

Test #51:

score: 0
Accepted
time: 1606ms
memory: 3568kb

input:

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

output:

0.212969595988052 0.319962995067214 0.467067408944734

result:

ok 3 numbers

Test #52:

score: 0
Accepted
time: 637ms
memory: 3608kb

input:

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

output:

0.393620652595214 0.147967266251601 0.458412081153185

result:

ok 3 numbers

Test #53:

score: 0
Accepted
time: 826ms
memory: 3536kb

input:

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

output:

0.382467689555167 0.147493238654727 0.470039071790106

result:

ok 3 numbers

Test #54:

score: 0
Accepted
time: 943ms
memory: 3624kb

input:

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

output:

0.379260293299904 0.176536722079843 0.444202984620253

result:

ok 3 numbers

Test #55:

score: 0
Accepted
time: 1051ms
memory: 3532kb

input:

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

output:

0.335206523508067 0.168228186481801 0.496565290010132

result:

ok 3 numbers

Test #56:

score: 0
Accepted
time: 1027ms
memory: 3544kb

input:

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

output:

0.328699473643151 0.160263058268706 0.511037468088142

result:

ok 3 numbers

Test #57:

score: 0
Accepted
time: 1230ms
memory: 3548kb

input:

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

output:

0.341541058762872 0.169436596665697 0.489022344571430

result:

ok 3 numbers

Test #58:

score: 0
Accepted
time: 1666ms
memory: 3616kb

input:

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

output:

0.283032035858509 0.214331641402718 0.502636322738773

result:

ok 3 numbers

Test #59:

score: 0
Accepted
time: 2039ms
memory: 3528kb

input:

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

output:

0.283681616583426 0.222015713449778 0.494302669966796

result:

ok 3 numbers

Test #60:

score: 0
Accepted
time: 1332ms
memory: 3544kb

input:

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

output:

0.297516368442785 0.247286586967483 0.455197044589732

result:

ok 3 numbers