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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#78039#5444. Tavern Chessmagicduck#AC ✓414ms3704kbC++142.2kb2023-02-16 14:56:012023-02-16 14:56:03

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.
  • [2023-02-16 14:56:03]
  • 评测
  • 测评结果:AC
  • 用时:414ms
  • 内存:3704kb
  • [2023-02-16 14:56:01]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef long long LL;
template <typename T> inline void read(T &F) {
    int R = 1; F = 0; char CH = getchar();
    for(; !isdigit(CH); CH = getchar()) if(CH == '-') R = -1;
    for(; isdigit(CH); CH = getchar()) F = F * 10 + CH - 48;
    F *= R;
}
inline void file(string str) {
    freopen((str + ".in").c_str(), "r", stdin);
    freopen((str + ".out").c_str(), "w", stdout);
}
const int N = 10;
int ha[N], hb[N], sa[N], sb[N], n, m;
array<double, 3> add(const array<double, 3> &x, const array<double, 3> &y, double p) {
    return {x[0] + y[0] * p, x[1] + y[1] * p, x[2] + y[2] * p};
}
array<double, 3> solve(int x, int y, int f) {
    int fa = 0, fb = 0;
    for(int i = 0; i < n; i++) if(ha[i] > 0) fa++;
    for(int i = 0; i < m; i++) if(hb[i] > 0) fb++;
    if(!fa && !fb) return {0, 0, 1};
    if(!fa) return {0, 1, 0}; if(!fb) return {1, 0, 0};
    array<double, 3> res = {0, 0, 0};
    if(f) {
        const double inv = 1.0 / fb;
        while(ha[x] <= 0) x = (x + 1) % n;
        for(int i = 0; i < m; i++)
            if(hb[i] > 0) {
                ha[x] -= sb[i]; hb[i] -= sa[x];
                res = add(res, solve((x + 1) % n, y, f ^ 1), inv);
                ha[x] += sb[i]; hb[i] += sa[x];
            }    
    } 
    else {
        const double inv = 1.0 / fa;
        while(hb[y] <= 0) y = (y + 1) % m;
        for(int i = 0; i < n; i++)
            if(ha[i] > 0) {
                ha[i] -= sb[y]; hb[y] -= sa[i];
                res = add(res, solve(x, (y + 1) % m, f ^ 1), inv);
                ha[i] += sb[y]; hb[y] += sa[i];
            }
    }
    return res;
}
int main() {
    //file("");
    read(n), read(m);
    for(int i = 0; i < n; i++)
        read(ha[i]), sa[i] = ha[i];
    for(int i = 0; i < m; i++)
        read(hb[i]), sb[i] = hb[i];
    array<double, 3> ans = {0, 0, 0};
    if(n == m) ans = add(ans, solve(0, 0, 0), 0.5), ans = add(ans, solve(0, 0, 1), 0.5);
    else if(n > m) ans = solve(0, 0, 1); else ans = solve(0, 0, 0);
    cout << fixed << setprecision(14) << ans[0] << '\n' << ans[1] << '\n' << ans[2] << '\n';
    #ifdef _MagicDuck
        fprintf(stderr, "# Time: %.3lf s", (double)clock() / CLOCKS_PER_SEC);
    #endif
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3552kb

input:

2 3
2 5
3 4 1

output:

0.12500000000000
0.75000000000000
0.12500000000000

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 3ms
memory: 3620kb

input:

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

output:

0.24186728395062
0.24186728395062
0.51626543209877

result:

ok 3 numbers

Test #3:

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

input:

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

output:

0.00000000000000
0.00000000000000
1.00000000000000

result:

ok 3 numbers

Test #4:

score: 0
Accepted
time: 2ms
memory: 3604kb

input:

1 7
7
1 1 1 1 1 1 1

output:

0.00000000000000
0.00000000000000
1.00000000000000

result:

ok 3 numbers

Test #5:

score: 0
Accepted
time: 2ms
memory: 3592kb

input:

2 3
736618938 652769331
328875880 97571721 44608905

output:

1.00000000000000
0.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #6:

score: 0
Accepted
time: 2ms
memory: 3612kb

input:

5 4
53585130 731696211 668322278 611205195 158818781
569587984 776042583 745745433 330119007

output:

0.06684027777778
0.66435185185185
0.26880787037037

result:

ok 3 numbers

Test #7:

score: 0
Accepted
time: 2ms
memory: 3616kb

input:

7 2
578505806 551611151 92903265 403642038 542119417 57334031 307573613
897644535 168524310

output:

1.00000000000000
0.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #8:

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

input:

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

output:

0.13632317386831
0.52239718364198
0.34127964248971

result:

ok 3 numbers

Test #9:

score: 0
Accepted
time: 6ms
memory: 3588kb

input:

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

output:

0.00000000000000
0.96081957304527
0.03918042695473

result:

ok 3 numbers

Test #10:

score: 0
Accepted
time: 2ms
memory: 3596kb

input:

3 3
333377599 3066695 67916629
426841530 865184552 974638244

output:

0.00000000000000
1.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #11:

score: 0
Accepted
time: 2ms
memory: 3640kb

input:

1 1
529429019
529428649

output:

1.00000000000000
0.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #12:

score: 0
Accepted
time: 2ms
memory: 3700kb

input:

3 3
12886596 817437415 465037461
12886473 817437448 465037967

output:

0.06944444444444
0.65277777777778
0.27777777777778

result:

ok 3 numbers

Test #13:

score: 0
Accepted
time: 11ms
memory: 3596kb

input:

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

output:

0.42339995927641
0.31938658479081
0.25721345593278

result:

ok 3 numbers

Test #14:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

1 2
1
1 1

output:

0.00000000000000
1.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #15:

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

input:

1 2
1
1 3

output:

0.00000000000000
1.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #16:

score: 0
Accepted
time: 2ms
memory: 3596kb

input:

1 2
2
4 2

output:

0.00000000000000
1.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #17:

score: 0
Accepted
time: 2ms
memory: 3596kb

input:

1 2
3
5 5

output:

0.00000000000000
1.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #18:

score: 0
Accepted
time: 2ms
memory: 3616kb

input:

1 2
4
1 2

output:

1.00000000000000
0.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #19:

score: 0
Accepted
time: 2ms
memory: 3592kb

input:

1 2
5
2 5

output:

0.00000000000000
0.00000000000000
1.00000000000000

result:

ok 3 numbers

Test #20:

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

input:

1 2
5
5 5

output:

0.00000000000000
1.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #21:

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

input:

2 2
1 1
1 3

output:

0.00000000000000
1.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #22:

score: 0
Accepted
time: 1ms
memory: 3612kb

input:

2 2
1 1
2 3

output:

0.00000000000000
1.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #23:

score: 0
Accepted
time: 2ms
memory: 3564kb

input:

2 2
1 4
2 5

output:

0.00000000000000
0.50000000000000
0.50000000000000

result:

ok 3 numbers

Test #24:

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

input:

2 2
2 2
1 4

output:

0.00000000000000
0.00000000000000
1.00000000000000

result:

ok 3 numbers

Test #25:

score: 0
Accepted
time: 2ms
memory: 3700kb

input:

2 2
3 2
4 1

output:

0.00000000000000
0.50000000000000
0.50000000000000

result:

ok 3 numbers

Test #26:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

2 2
3 3
1 3

output:

1.00000000000000
0.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #27:

score: 0
Accepted
time: 2ms
memory: 3588kb

input:

2 2
3 3
2 4

output:

0.00000000000000
0.00000000000000
1.00000000000000

result:

ok 3 numbers

Test #28:

score: 0
Accepted
time: 2ms
memory: 3608kb

input:

2 2
3 3
5 3

output:

0.00000000000000
1.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #29:

score: 0
Accepted
time: 2ms
memory: 3608kb

input:

2 2
4 3
2 1

output:

1.00000000000000
0.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #30:

score: 0
Accepted
time: 2ms
memory: 3616kb

input:

2 2
4 3
4 4

output:

0.00000000000000
1.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #31:

score: 0
Accepted
time: 2ms
memory: 3644kb

input:

2 2
5 1
5 2

output:

0.12500000000000
0.62500000000000
0.25000000000000

result:

ok 3 numbers

Test #32:

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

input:

2 2
5 1
5 3

output:

0.12500000000000
0.62500000000000
0.25000000000000

result:

ok 3 numbers

Test #33:

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

input:

2 2
5 2
2 3

output:

0.87500000000000
0.00000000000000
0.12500000000000

result:

ok 3 numbers

Test #34:

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

input:

2 2
5 4
1 2

output:

1.00000000000000
0.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #35:

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

input:

2 2
5 4
3 5

output:

0.87500000000000
0.00000000000000
0.12500000000000

result:

ok 3 numbers

Test #36:

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

input:

2 2
5 5
1 4

output:

1.00000000000000
0.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #37:

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

input:

2 2
5 5
2 2

output:

1.00000000000000
0.00000000000000
0.00000000000000

result:

ok 3 numbers

Test #38:

score: 0
Accepted
time: 1ms
memory: 3616kb

input:

1 1
6
6

output:

0.00000000000000
0.00000000000000
1.00000000000000

result:

ok 3 numbers

Test #39:

score: 0
Accepted
time: 2ms
memory: 3592kb

input:

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

output:

0.29787037037037
0.27877314814815
0.42335648148148

result:

ok 3 numbers

Test #40:

score: 0
Accepted
time: 5ms
memory: 3612kb

input:

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

output:

0.25401045685442
0.19277370541838
0.55321583772719

result:

ok 3 numbers

Test #41:

score: 0
Accepted
time: 51ms
memory: 3608kb

input:

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

output:

0.31091375142567
0.36576836791402
0.32331788066031

result:

ok 3 numbers

Test #42:

score: 0
Accepted
time: 4ms
memory: 3704kb

input:

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

output:

0.21694243505658
0.32785654578189
0.45520101916152

result:

ok 3 numbers

Test #43:

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

input:

4 4
9 7 10 6
9 7 6 10

output:

0.33087384259259
0.26229745370370
0.40682870370370

result:

ok 3 numbers

Test #44:

score: 0
Accepted
time: 2ms
memory: 3648kb

input:

3 3
3 10 3
3 10 3

output:

0.18750000000000
0.18750000000000
0.62500000000000

result:

ok 3 numbers

Test #45:

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

input:

2 2
3 4
3 4

output:

0.00000000000000
0.00000000000000
1.00000000000000

result:

ok 3 numbers

Test #46:

score: 0
Accepted
time: 94ms
memory: 3608kb

input:

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

output:

0.36335637141624
0.27956640551186
0.35707722307191

result:

ok 3 numbers

Test #47:

score: 0
Accepted
time: 129ms
memory: 3672kb

input:

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

output:

0.37017609359987
0.27878994530356
0.35103396109656

result:

ok 3 numbers

Test #48:

score: 0
Accepted
time: 76ms
memory: 3536kb

input:

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

output:

0.36430590801664
0.31560355422712
0.32009053775625

result:

ok 3 numbers

Test #49:

score: 0
Accepted
time: 224ms
memory: 3704kb

input:

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

output:

0.17818379165238
0.33708150986989
0.48473469847773

result:

ok 3 numbers

Test #50:

score: 0
Accepted
time: 133ms
memory: 3704kb

input:

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

output:

0.22307502187329
0.31615158023316
0.46077339789355

result:

ok 3 numbers

Test #51:

score: 0
Accepted
time: 304ms
memory: 3596kb

input:

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

output:

0.21296959598805
0.31996299506721
0.46706740894473

result:

ok 3 numbers

Test #52:

score: 0
Accepted
time: 119ms
memory: 3696kb

input:

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

output:

0.39362065259521
0.14796726625160
0.45841208115319

result:

ok 3 numbers

Test #53:

score: 0
Accepted
time: 151ms
memory: 3560kb

input:

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

output:

0.38246768955517
0.14749323865473
0.47003907179011

result:

ok 3 numbers

Test #54:

score: 0
Accepted
time: 181ms
memory: 3560kb

input:

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

output:

0.37926029329990
0.17653672207984
0.44420298462025

result:

ok 3 numbers

Test #55:

score: 0
Accepted
time: 192ms
memory: 3700kb

input:

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

output:

0.33520652350807
0.16822818648180
0.49656529001013

result:

ok 3 numbers

Test #56:

score: 0
Accepted
time: 188ms
memory: 3608kb

input:

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

output:

0.32869947364315
0.16026305826871
0.51103746808814

result:

ok 3 numbers

Test #57:

score: 0
Accepted
time: 228ms
memory: 3536kb

input:

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

output:

0.34154105876287
0.16943659666570
0.48902234457143

result:

ok 3 numbers

Test #58:

score: 0
Accepted
time: 326ms
memory: 3524kb

input:

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

output:

0.28303203585851
0.21433164140272
0.50263632273877

result:

ok 3 numbers

Test #59:

score: 0
Accepted
time: 414ms
memory: 3552kb

input:

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

output:

0.28368161658343
0.22201571344978
0.49430266996680

result:

ok 3 numbers

Test #60:

score: 0
Accepted
time: 262ms
memory: 3624kb

input:

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

output:

0.29751636844278
0.24728658696748
0.45519704458973

result:

ok 3 numbers