QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#128304#5444. Tavern Chesstselmegkh#AC ✓221ms3792kbC++203.3kb2023-07-20 20:22:152023-07-20 20:22:18

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.
  • [2023-07-20 20:22:18]
  • 评测
  • 测评结果:AC
  • 用时:221ms
  • 内存:3792kb
  • [2023-07-20 20:22:15]
  • 提交

answer

#include <iostream>
#include <algorithm>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <cstdlib>
#include <cmath>
#include <cstring>
#include <iomanip>
using namespace std;

const int N = 8, inf = 1e9;
#define pb push_back
#define mp make_pair
#define ll long long
#define ff first
#define ss second
#define all(a) a.begin(),a.end()
#define sz(x) (int)x.size()
typedef vector<int> vi;
typedef pair<int,int> ii;
typedef vector<ii> vii;

using namespace std;

int n, m;
int dmgA[N];
int dmgB[N];

pair<double, double> solve(vector<ii> &a, vector<ii>& b, bool isA){
    int cnta = 0, cntb = 0;
    int mna = inf, mnb = inf;
    for(int i = 0; i < n; i++){
        if(a[i].ff > 0){
            cnta++;
            mna = min(mna, a[i].ss);
        }
    }
    for(int i = 0; i < m; i++){
        if(b[i].ff > 0){
            cntb++;
            mnb = min(mnb, b[i].ss);
        }
    }
    if(cnta > 0 && cntb == 0)return {1, 0};
    else if(cntb > 0 && cnta == 0)return {0, 1};
    else if(cnta == 0 && cntb == 0)return {0, 0};

    double resa = 0;
    double resb = 0;
    if(isA){
        int idx = -1;
        for(int i = 0; i < n; i++){
            if(a[i].ff > 0 && a[i].ss == mna){
                idx = i;
                break;
            }
        }
        for(int i = 0; i < m; i++){
            if(b[i].ff > 0){
                a[idx].ff -= dmgB[i];
                b[i].ff -= dmgA[idx];
                a[idx].ss++;
                auto x = solve(a, b, false);
                resa += (1.0 / cntb) * x.ff;
                resb += (1.0 / cntb) * x.ss;
                a[idx].ff += dmgB[i];
                b[i].ff += dmgA[idx];
                a[idx].ss--;
            }
        }
    } else {
        int idx = -1;
        for(int i = 0; i < m; i++){
            if(b[i].ff > 0 && b[i].ss == mnb){
                idx = i;
                break;
            }
        }
        for(int i = 0; i < n; i++){
            if(a[i].ff > 0){
                b[idx].ff -= dmgA[i];
                a[i].ff -= dmgB[idx];
                b[idx].ss++;
                auto x = solve(a, b, true);
                resa += (1.0 / cnta) * x.ff;
                resb += (1.0 / cnta) * x.ss;
                b[idx].ff += dmgA[i];
                a[i].ff += dmgB[idx];
                b[idx].ss--;
            }
        }
    }
    return {resa, resb};
}
void solve(){
    cin >> n >> m;
    vector<ii> a(n), b(m);
    for(int i = 0; i < n; i++){
        cin >> a[i].ff;
        dmgA[i] = a[i].ff;
        a[i].ss = 0;
    }
    for(int i = 0; i < m; i++){
        cin >> b[i].ff;
        dmgB[i] = b[i].ff;
        b[i].ss = 0;
    }

    pair<double, double> res = {0.0, 0.0};
    if(n > m){
        res = solve(a, b, true);
    } else if(n == m){
        auto x = solve(a, b, true);
        auto y = solve(a, b, false);
        res.ff += 0.5 * x.ff;
        res.ff += 0.5 * y.ff;
        res.ss += 0.5 * x.ss;
        res.ss += 0.5 * y.ss;
    } else {
        res = solve(a, b, false);
    }

    cout << setprecision(15) << res.ff << '\n' << res.ss << '\n' << (1.0 - res.ff - res.ss) << '\n';
}


int main(){
    int t = 1;
    while(t--){
        solve();
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3784kb

input:

2 3
2 5
3 4 1

output:

0.125
0.75
0.125

result:

ok 3 numbers

Test #2:

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

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: 2ms
memory: 3676kb

input:

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

output:

0
0
1

result:

ok 3 numbers

Test #4:

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

input:

1 7
7
1 1 1 1 1 1 1

output:

0
0
1

result:

ok 3 numbers

Test #5:

score: 0
Accepted
time: 1ms
memory: 3664kb

input:

2 3
736618938 652769331
328875880 97571721 44608905

output:

1
0
0

result:

ok 3 numbers

Test #6:

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

input:

5 4
53585130 731696211 668322278 611205195 158818781
569587984 776042583 745745433 330119007

output:

0.0668402777777778
0.664351851851852
0.26880787037037

result:

ok 3 numbers

Test #7:

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

input:

7 2
578505806 551611151 92903265 403642038 542119417 57334031 307573613
897644535 168524310

output:

1
0
2.22044604925031e-16

result:

ok 3 numbers

Test #8:

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

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: 5ms
memory: 3620kb

input:

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

output:

0
0.960819573045267
0.0391804269547327

result:

ok 3 numbers

Test #10:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

3 3
333377599 3066695 67916629
426841530 865184552 974638244

output:

0
1
0

result:

ok 3 numbers

Test #11:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

1 1
529429019
529428649

output:

1
0
0

result:

ok 3 numbers

Test #12:

score: 0
Accepted
time: 1ms
memory: 3736kb

input:

3 3
12886596 817437415 465037461
12886473 817437448 465037967

output:

0.0694444444444444
0.652777777777778
0.277777777777778

result:

ok 3 numbers

Test #13:

score: 0
Accepted
time: 9ms
memory: 3696kb

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: 3792kb

input:

1 2
1
1 1

output:

0
1
0

result:

ok 3 numbers

Test #15:

score: 0
Accepted
time: 1ms
memory: 3724kb

input:

1 2
1
1 3

output:

0
1
0

result:

ok 3 numbers

Test #16:

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

input:

1 2
2
4 2

output:

0
1
0

result:

ok 3 numbers

Test #17:

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

input:

1 2
3
5 5

output:

0
1
0

result:

ok 3 numbers

Test #18:

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

input:

1 2
4
1 2

output:

1
0
0

result:

ok 3 numbers

Test #19:

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

input:

1 2
5
2 5

output:

0
0
1

result:

ok 3 numbers

Test #20:

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

input:

1 2
5
5 5

output:

0
1
0

result:

ok 3 numbers

Test #21:

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

input:

2 2
1 1
1 3

output:

0
1
0

result:

ok 3 numbers

Test #22:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

2 2
1 1
2 3

output:

0
1
0

result:

ok 3 numbers

Test #23:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

2 2
1 4
2 5

output:

0
0.5
0.5

result:

ok 3 numbers

Test #24:

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

input:

2 2
2 2
1 4

output:

0
0
1

result:

ok 3 numbers

Test #25:

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

input:

2 2
3 2
4 1

output:

0
0.5
0.5

result:

ok 3 numbers

Test #26:

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

input:

2 2
3 3
1 3

output:

1
0
0

result:

ok 3 numbers

Test #27:

score: 0
Accepted
time: 1ms
memory: 3660kb

input:

2 2
3 3
2 4

output:

0
0
1

result:

ok 3 numbers

Test #28:

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

input:

2 2
3 3
5 3

output:

0
1
0

result:

ok 3 numbers

Test #29:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

2 2
4 3
2 1

output:

1
0
0

result:

ok 3 numbers

Test #30:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

2 2
4 3
4 4

output:

0
1
0

result:

ok 3 numbers

Test #31:

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

input:

2 2
5 1
5 2

output:

0.125
0.625
0.25

result:

ok 3 numbers

Test #32:

score: 0
Accepted
time: 1ms
memory: 3568kb

input:

2 2
5 1
5 3

output:

0.125
0.625
0.25

result:

ok 3 numbers

Test #33:

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

input:

2 2
5 2
2 3

output:

0.875
0
0.125

result:

ok 3 numbers

Test #34:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

2 2
5 4
1 2

output:

1
0
0

result:

ok 3 numbers

Test #35:

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

input:

2 2
5 4
3 5

output:

0.875
0
0.125

result:

ok 3 numbers

Test #36:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

2 2
5 5
1 4

output:

1
0
0

result:

ok 3 numbers

Test #37:

score: 0
Accepted
time: 1ms
memory: 3624kb

input:

2 2
5 5
2 2

output:

1
0
0

result:

ok 3 numbers

Test #38:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

1 1
6
6

output:

0
0
1

result:

ok 3 numbers

Test #39:

score: 0
Accepted
time: 1ms
memory: 3744kb

input:

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

output:

0.29787037037037
0.278773148148148
0.423356481481481

result:

ok 3 numbers

Test #40:

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

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: 44ms
memory: 3660kb

input:

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

output:

0.310913751425669
0.36576836791402
0.323317880660311

result:

ok 3 numbers

Test #42:

score: 0
Accepted
time: 3ms
memory: 3700kb

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: 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: 1ms
memory: 3680kb

input:

3 3
3 10 3
3 10 3

output:

0.1875
0.1875
0.625

result:

ok 3 numbers

Test #45:

score: 0
Accepted
time: 1ms
memory: 3620kb

input:

2 2
3 4
3 4

output:

0
0
1

result:

ok 3 numbers

Test #46:

score: 0
Accepted
time: 67ms
memory: 3740kb

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: 102ms
memory: 3744kb

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: 63ms
memory: 3564kb

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: 119ms
memory: 3736kb

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: 83ms
memory: 3620kb

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: 196ms
memory: 3572kb

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: 75ms
memory: 3788kb

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: 98ms
memory: 3660kb

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: 111ms
memory: 3788kb

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: 114ms
memory: 3696kb

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: 113ms
memory: 3568kb

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: 136ms
memory: 3676kb

input:

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

output:

0.341541058762872
0.169436596665697
0.489022344571431

result:

ok 3 numbers

Test #58:

score: 0
Accepted
time: 184ms
memory: 3656kb

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: 221ms
memory: 3624kb

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: 156ms
memory: 3784kb

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