QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#78039 | #5444. Tavern Chess | magicduck# | AC ✓ | 414ms | 3704kb | C++14 | 2.2kb | 2023-02-16 14:56:01 | 2023-02-16 14:56:03 |
Judging History
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