QOJ.ac
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 Chess | KKT89 | AC ✓ | 600ms | 3800kb | C++17 | 4.1kb | 2023-07-16 17:29:25 | 2023-07-16 17:29:26 |
Judging History
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]);
}
詳細信息
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