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QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#125403#5444. Tavern ChessKKT89AC ✓600ms3800kbC++174.1kb2023-07-16 17:29:252023-07-16 17:29:26

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.
  • [2023-07-16 17:29:26]
  • 评测
  • 测评结果:AC
  • 用时:600ms
  • 内存:3800kb
  • [2023-07-16 17:29:25]
  • 提交

answer

#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);

    int n,m; cin >> n >> m;
    vector<pair<int,int>> a(n);
    for (int i = 0; i < n; ++i) {
        int h; cin >> h;
        a[i] = {h,h};
    }
    vector<pair<int,int>> b(m);
    for (int i = 0; i < m; ++i) {
        int h; cin >> h;
        b[i] = {h,h};
    }

    int mx = max(n,m);
    vector<vector<int>> alive(1<<mx);
    {
        for (int i = 0; i < (1<<mx); ++i) {
            for (int j = 0; j < mx; ++j) {
                if((1<<j)&i){
                    alive[i].push_back(j);
                }
            }
        }
    }

    // それぞれのチームで生き残ってるミニオンの集合
    // 0:Alice, 1:Bob
    vector<int> rem(2);
    rem[0] = (1<<n)-1;
    rem[1] = (1<<m)-1;

    // それぞれのチームで最後に攻撃したミニオン
    // 生存してるミニオンであって、↑の次に登場するミニオンが次攻撃を行う
    // 0:Alice, 1:Bob
    vector<int> last(2);
    last[0] = n-1;
    last[1] = m-1;

    using ld = long double;
    // 答えの確率
    // 0:Alice, 1:Bob, 2:tie
    vector<ld> res(3);

    // cur 0:Alice, 1:Bob
    // P: その局面に至る確率
    auto dfs = [&](auto dfs,int cur,ld P)->void{
        // ゲーム終了確認
        {
            if(rem[0] == 0){
                if(rem[1] == 0){
                    // 引き分け
                    res[2] += P;
                }
                else{
                    // Bob勝ち
                    res[1] += P;
                }
                return;
            }
            else if(rem[1] == 0){
                // Alice勝ち
                res[0] += P;
                return;
            }
        }
        // ランダムに相手を選んで攻撃
        {
            int attacker = alive[rem[cur]][0];
            for(int i:alive[rem[cur]]){
                if(attacker <= last[cur] and last[cur] < i){
                    attacker = i;
                }
            }
            int nxt = 1-cur;
            ld p = 1.0/(alive[rem[nxt]].size());
            for(int j:alive[rem[nxt]]){
                auto prem = rem;
                auto plast = last;
                {
                    if(cur == 0){
                        a[attacker].first -= b[j].second;
                        b[j].first -= a[attacker].second;
                        if(a[attacker].first <= 0){
                            rem[0] -= (1<<attacker);
                        }
                        if(b[j].first <= 0){
                            rem[1] -= (1<<j);
                        }
                        last[0] = attacker;
                    }
                    else{
                        b[attacker].first -= a[j].second;
                        a[j].first -= b[attacker].second;
                        if(a[j].first <= 0){
                            rem[0] -= (1<<j);
                        }
                        if(b[attacker].first <= 0){
                            rem[1] -= (1<<attacker);
                        }
                        last[1] = attacker;
                    }
                }
                dfs(dfs,nxt,P*p);
                {
                    rem = prem;
                    last = plast;
                    if(cur == 0){
                        a[attacker].first += b[j].second;
                        b[j].first += a[attacker].second;
                    }
                    else{
                        b[attacker].first += a[j].second;
                        a[j].first += b[attacker].second;
                    }
                }
            }
        }
    };

    if(n < m){
        dfs(dfs,1,1);
    }
    else if(n > m){
        dfs(dfs,0,1);
    }
    else{
        dfs(dfs,0,0.5);
        dfs(dfs,1,0.5);
    }

    printf("%.15Lf\n",res[0]);
    printf("%.15Lf\n",res[1]);
    printf("%.15Lf\n",res[2]);
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3788kb

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: 4ms
memory: 3736kb

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: 0ms
memory: 3708kb

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: 3604kb

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: 3556kb

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: 3600kb

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: 1ms
memory: 3600kb

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: 3ms
memory: 3732kb

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: 10ms
memory: 3712kb

input:

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

output:

0.000000000000000
0.960819573045268
0.039180426954733

result:

ok 3 numbers

Test #10:

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

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: 3584kb

input:

1 1
529429019
529428649

output:

1.000000000000000
0.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #12:

score: 0
Accepted
time: 0ms
memory: 3600kb

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: 11ms
memory: 3708kb

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: 1ms
memory: 3788kb

input:

1 2
1
1 1

output:

0.000000000000000
1.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #15:

score: 0
Accepted
time: 1ms
memory: 3784kb

input:

1 2
1
1 3

output:

0.000000000000000
1.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #16:

score: 0
Accepted
time: 1ms
memory: 3788kb

input:

1 2
2
4 2

output:

0.000000000000000
1.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #17:

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

input:

1 2
3
5 5

output:

0.000000000000000
1.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #18:

score: 0
Accepted
time: 1ms
memory: 3784kb

input:

1 2
4
1 2

output:

1.000000000000000
0.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #19:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

1 2
5
2 5

output:

0.000000000000000
0.000000000000000
1.000000000000000

result:

ok 3 numbers

Test #20:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

1 2
5
5 5

output:

0.000000000000000
1.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #21:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

2 2
1 1
1 3

output:

0.000000000000000
1.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #22:

score: 0
Accepted
time: 1ms
memory: 3608kb

input:

2 2
1 1
2 3

output:

0.000000000000000
1.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #23:

score: 0
Accepted
time: 1ms
memory: 3732kb

input:

2 2
1 4
2 5

output:

0.000000000000000
0.500000000000000
0.500000000000000

result:

ok 3 numbers

Test #24:

score: 0
Accepted
time: 1ms
memory: 3584kb

input:

2 2
2 2
1 4

output:

0.000000000000000
0.000000000000000
1.000000000000000

result:

ok 3 numbers

Test #25:

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

input:

2 2
3 2
4 1

output:

0.000000000000000
0.500000000000000
0.500000000000000

result:

ok 3 numbers

Test #26:

score: 0
Accepted
time: 1ms
memory: 3708kb

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: 3684kb

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: 3704kb

input:

2 2
3 3
5 3

output:

0.000000000000000
1.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #29:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

2 2
4 3
2 1

output:

1.000000000000000
0.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #30:

score: 0
Accepted
time: 1ms
memory: 3784kb

input:

2 2
4 3
4 4

output:

0.000000000000000
1.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #31:

score: 0
Accepted
time: 1ms
memory: 3604kb

input:

2 2
5 1
5 2

output:

0.125000000000000
0.625000000000000
0.250000000000000

result:

ok 3 numbers

Test #32:

score: 0
Accepted
time: 0ms
memory: 3720kb

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: 3688kb

input:

2 2
5 2
2 3

output:

0.875000000000000
0.000000000000000
0.125000000000000

result:

ok 3 numbers

Test #34:

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

input:

2 2
5 4
1 2

output:

1.000000000000000
0.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #35:

score: 0
Accepted
time: 1ms
memory: 3604kb

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: 3704kb

input:

2 2
5 5
1 4

output:

1.000000000000000
0.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #37:

score: 0
Accepted
time: 1ms
memory: 3720kb

input:

2 2
5 5
2 2

output:

1.000000000000000
0.000000000000000
0.000000000000000

result:

ok 3 numbers

Test #38:

score: 0
Accepted
time: 1ms
memory: 3708kb

input:

1 1
6
6

output:

0.000000000000000
0.000000000000000
1.000000000000000

result:

ok 3 numbers

Test #39:

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

input:

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

output:

0.297870370370370
0.278773148148148
0.423356481481481

result:

ok 3 numbers

Test #40:

score: 0
Accepted
time: 9ms
memory: 3796kb

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: 68ms
memory: 3692kb

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: 5ms
memory: 3604kb

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: 1ms
memory: 3684kb

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: 0ms
memory: 3708kb

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: 0ms
memory: 3600kb

input:

2 2
3 4
3 4

output:

0.000000000000000
0.000000000000000
1.000000000000000

result:

ok 3 numbers

Test #46:

score: 0
Accepted
time: 163ms
memory: 3596kb

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: 195ms
memory: 3664kb

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: 112ms
memory: 3608kb

input:

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

output:

0.364305908016637
0.315603554227118
0.320090537756245

result:

ok 3 numbers

Test #49:

score: 0
Accepted
time: 330ms
memory: 3800kb

input:

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

output:

0.178183791652377
0.337081509869894
0.484734698477726

result:

ok 3 numbers

Test #50:

score: 0
Accepted
time: 187ms
memory: 3720kb

input:

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

output:

0.223075021873287
0.316151580233162
0.460773397893550

result:

ok 3 numbers

Test #51:

score: 0
Accepted
time: 485ms
memory: 3716kb

input:

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

output:

0.212969595988052
0.319962995067214
0.467067408944733

result:

ok 3 numbers

Test #52:

score: 0
Accepted
time: 168ms
memory: 3732kb

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: 227ms
memory: 3792kb

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: 263ms
memory: 3596kb

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: 311ms
memory: 3664kb

input:

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

output:

0.335206523508067
0.168228186481801
0.496565290010131

result:

ok 3 numbers

Test #56:

score: 0
Accepted
time: 288ms
memory: 3800kb

input:

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

output:

0.328699473643151
0.160263058268706
0.511037468088141

result:

ok 3 numbers

Test #57:

score: 0
Accepted
time: 354ms
memory: 3724kb

input:

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

output:

0.341541058762872
0.169436596665697
0.489022344571429

result:

ok 3 numbers

Test #58:

score: 0
Accepted
time: 486ms
memory: 3724kb

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: 600ms
memory: 3596kb

input:

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

output:

0.283681616583427
0.222015713449778
0.494302669966797

result:

ok 3 numbers

Test #60:

score: 0
Accepted
time: 389ms
memory: 3660kb

input:

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

output:

0.297516368442785
0.247286586967484
0.455197044589732

result:

ok 3 numbers