QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#138482 | #5444. Tavern Chess | Kronos# | AC ✓ | 340ms | 3844kb | C++17 | 2.7kb | 2023-08-11 20:06:20 | 2023-08-11 20:06:24 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
int n,m;
vector<int> ax,bx;
pair<long double, long double> f(vector<int> &a, vector<int> &b,vector<int> &ac,vector<int> &bc,int p){
int c1=0,c2=0;
int mnc1=INT_MAX;
int mnc2=INT_MAX;
for(int i=0;i<n;i++){
if(a[i]>0){
c1++;
mnc1=min(mnc1,ac[i]);
}
}
for(int i=0;i<m;i++){
if(b[i]>0){
c2++;
mnc2=min(mnc2,bc[i]);
}
}
if(!c1&&!c2) return {0,0};
if(!c1) return {0,1};
if(!c2) return {1,0};
long double a1=0,a2=0;
if(p){
int idx=-1;
for(int i=0;i<n;i++){
if(a[i]>0&&ac[i]==mnc1){
idx=i;
break;
}
}
ac[idx]++;
for(int i=0;i<m;i++){
if(b[i]<=0) continue;
a[idx]-=bx[i];
b[i]-=ax[idx];
auto it=f(a,b,ac,bc,!p);
a1+=it.first;
a2+=it.second;
a[idx]+=bx[i];
b[i]+=ax[idx];
}
ac[idx]--;
a1/=c2;
a2/=c2;
}
else{
int idx=-1;
for(int i=0;i<m;i++){
if(b[i]>0&&bc[i]==mnc2){
idx=i;
break;
}
}
bc[idx]++;
for(int i=0;i<n;i++){
if(a[i]<=0) continue;
b[idx]-=ax[i];
a[i]-=bx[idx];
auto it=f(a,b,ac,bc,!p);
a1+=it.first;
a2+=it.second;
b[idx]+=ax[i];
a[i]+=bx[idx];
}
bc[idx]--;
a1/=c1;
a2/=c1;
}
return {a1,a2};
}
vector<int> a,ac;
vector<int> b,bc;
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin>>n>>m;
a.assign(n,0);
b.assign(m,0);
ac.assign(n,0);
bc.assign(m,0);
ax.assign(n,0);
bx.assign(m,0);
for(int i=0;i<n;i++){
cin>>a[i];
ax[i]=a[i];
}
for(int i=0;i<m;i++){
cin>>b[i];
bx[i]=b[i];
}
long double ans1=0, ans2=0,ans3=0;
if(n==m){
auto it=f(a,b,ac,bc,1);
ans1=it.first;
ans2=it.second;
it=f(a,b,ac,bc,0);
ans1+=it.first;
ans2+=it.second;
ans1*=0.5;
ans2*=0.5;
}
else if(n<m){
auto it=f(a,b,ac,bc,0);
ans1=it.first;
ans2=it.second;
}
else{
auto it=f(a,b,ac,bc,1);
ans1=it.first;
ans2=it.second;
}
ans3=1-ans1-ans2;
cout<<setprecision(10)<<fixed<<ans1<<"\n"<<ans2<<"\n"<<ans3<<"\n";
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3680kb
input:
2 3 2 5 3 4 1
output:
0.1250000000 0.7500000000 0.1250000000
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
6 6 1 1 4 5 1 4 1 1 4 5 1 4
output:
0.2418672840 0.2418672840 0.5162654321
result:
ok 3 numbers
Test #3:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
7 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1
output:
0.0000000000 0.0000000000 1.0000000000
result:
ok 3 numbers
Test #4:
score: 0
Accepted
time: 1ms
memory: 3840kb
input:
1 7 7 1 1 1 1 1 1 1
output:
0.0000000000 0.0000000000 1.0000000000
result:
ok 3 numbers
Test #5:
score: 0
Accepted
time: 1ms
memory: 3720kb
input:
2 3 736618938 652769331 328875880 97571721 44608905
output:
1.0000000000 0.0000000000 0.0000000000
result:
ok 3 numbers
Test #6:
score: 0
Accepted
time: 1ms
memory: 3660kb
input:
5 4 53585130 731696211 668322278 611205195 158818781 569587984 776042583 745745433 330119007
output:
0.0668402778 0.6643518519 0.2688078704
result:
ok 3 numbers
Test #7:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
7 2 578505806 551611151 92903265 403642038 542119417 57334031 307573613 897644535 168524310
output:
1.0000000000 0.0000000000 0.0000000000
result:
ok 3 numbers
Test #8:
score: 0
Accepted
time: 2ms
memory: 3732kb
input:
5 6 113196606 64768263 772808463 787707989 500151952 481840741 676847825 4641268 431386165 847736311 169677832
output:
0.1363231739 0.5223971836 0.3412796425
result:
ok 3 numbers
Test #9:
score: 0
Accepted
time: 7ms
memory: 3832kb
input:
6 6 260666773 527612597 471926610 702232282 559007797 606173983 560573055 928117268 101411867 875949818 907478252 182117037
output:
0.0000000000 0.9608195730 0.0391804270
result:
ok 3 numbers
Test #10:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
3 3 333377599 3066695 67916629 426841530 865184552 974638244
output:
0.0000000000 1.0000000000 0.0000000000
result:
ok 3 numbers
Test #11:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
1 1 529429019 529428649
output:
1.0000000000 0.0000000000 0.0000000000
result:
ok 3 numbers
Test #12:
score: 0
Accepted
time: 1ms
memory: 3680kb
input:
3 3 12886596 817437415 465037461 12886473 817437448 465037967
output:
0.0694444444 0.6527777778 0.2777777778
result:
ok 3 numbers
Test #13:
score: 0
Accepted
time: 11ms
memory: 3732kb
input:
6 6 211213374 319527017 257080158 176742665 53109345 33822515 53109265 319527076 176743175 257080012 211212799 33822353
output:
0.4233999593 0.3193865848 0.2572134559
result:
ok 3 numbers
Test #14:
score: 0
Accepted
time: 1ms
memory: 3692kb
input:
1 2 1 1 1
output:
0.0000000000 1.0000000000 0.0000000000
result:
ok 3 numbers
Test #15:
score: 0
Accepted
time: 1ms
memory: 3764kb
input:
1 2 1 1 3
output:
0.0000000000 1.0000000000 0.0000000000
result:
ok 3 numbers
Test #16:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
1 2 2 4 2
output:
0.0000000000 1.0000000000 0.0000000000
result:
ok 3 numbers
Test #17:
score: 0
Accepted
time: 1ms
memory: 3720kb
input:
1 2 3 5 5
output:
0.0000000000 1.0000000000 0.0000000000
result:
ok 3 numbers
Test #18:
score: 0
Accepted
time: 1ms
memory: 3736kb
input:
1 2 4 1 2
output:
1.0000000000 0.0000000000 0.0000000000
result:
ok 3 numbers
Test #19:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
1 2 5 2 5
output:
0.0000000000 0.0000000000 1.0000000000
result:
ok 3 numbers
Test #20:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
1 2 5 5 5
output:
0.0000000000 1.0000000000 0.0000000000
result:
ok 3 numbers
Test #21:
score: 0
Accepted
time: 1ms
memory: 3832kb
input:
2 2 1 1 1 3
output:
0.0000000000 1.0000000000 0.0000000000
result:
ok 3 numbers
Test #22:
score: 0
Accepted
time: 1ms
memory: 3748kb
input:
2 2 1 1 2 3
output:
0.0000000000 1.0000000000 0.0000000000
result:
ok 3 numbers
Test #23:
score: 0
Accepted
time: 1ms
memory: 3736kb
input:
2 2 1 4 2 5
output:
0.0000000000 0.5000000000 0.5000000000
result:
ok 3 numbers
Test #24:
score: 0
Accepted
time: 1ms
memory: 3740kb
input:
2 2 2 2 1 4
output:
0.0000000000 0.0000000000 1.0000000000
result:
ok 3 numbers
Test #25:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
2 2 3 2 4 1
output:
0.0000000000 0.5000000000 0.5000000000
result:
ok 3 numbers
Test #26:
score: 0
Accepted
time: 1ms
memory: 3732kb
input:
2 2 3 3 1 3
output:
1.0000000000 0.0000000000 0.0000000000
result:
ok 3 numbers
Test #27:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
2 2 3 3 2 4
output:
0.0000000000 0.0000000000 1.0000000000
result:
ok 3 numbers
Test #28:
score: 0
Accepted
time: 1ms
memory: 3676kb
input:
2 2 3 3 5 3
output:
0.0000000000 1.0000000000 0.0000000000
result:
ok 3 numbers
Test #29:
score: 0
Accepted
time: 1ms
memory: 3760kb
input:
2 2 4 3 2 1
output:
1.0000000000 0.0000000000 0.0000000000
result:
ok 3 numbers
Test #30:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
2 2 4 3 4 4
output:
0.0000000000 1.0000000000 0.0000000000
result:
ok 3 numbers
Test #31:
score: 0
Accepted
time: 1ms
memory: 3684kb
input:
2 2 5 1 5 2
output:
0.1250000000 0.6250000000 0.2500000000
result:
ok 3 numbers
Test #32:
score: 0
Accepted
time: 1ms
memory: 3744kb
input:
2 2 5 1 5 3
output:
0.1250000000 0.6250000000 0.2500000000
result:
ok 3 numbers
Test #33:
score: 0
Accepted
time: 1ms
memory: 3720kb
input:
2 2 5 2 2 3
output:
0.8750000000 0.0000000000 0.1250000000
result:
ok 3 numbers
Test #34:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
2 2 5 4 1 2
output:
1.0000000000 0.0000000000 0.0000000000
result:
ok 3 numbers
Test #35:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
2 2 5 4 3 5
output:
0.8750000000 0.0000000000 0.1250000000
result:
ok 3 numbers
Test #36:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
2 2 5 5 1 4
output:
1.0000000000 0.0000000000 0.0000000000
result:
ok 3 numbers
Test #37:
score: 0
Accepted
time: 1ms
memory: 3764kb
input:
2 2 5 5 2 2
output:
1.0000000000 0.0000000000 0.0000000000
result:
ok 3 numbers
Test #38:
score: 0
Accepted
time: 1ms
memory: 3736kb
input:
1 1 6 6
output:
0.0000000000 0.0000000000 1.0000000000
result:
ok 3 numbers
Test #39:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
5 5 6 5 9 9 3 3 5 9 9 6
output:
0.2978703704 0.2787731481 0.4233564815
result:
ok 3 numbers
Test #40:
score: 0
Accepted
time: 5ms
memory: 3736kb
input:
6 6 10 2 3 4 5 7 5 2 4 3 10 7
output:
0.2540104569 0.1927737054 0.5532158377
result:
ok 3 numbers
Test #41:
score: 0
Accepted
time: 57ms
memory: 3764kb
input:
7 7 7 6 8 6 7 3 9 7 6 9 8 7 3 6
output:
0.3109137514 0.3657683679 0.3233178807
result:
ok 3 numbers
Test #42:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
6 6 5 4 7 9 9 10 9 4 9 7 5 10
output:
0.2169424351 0.3278565458 0.4552010192
result:
ok 3 numbers
Test #43:
score: 0
Accepted
time: 1ms
memory: 3644kb
input:
4 4 9 7 10 6 9 7 6 10
output:
0.3308738426 0.2622974537 0.4068287037
result:
ok 3 numbers
Test #44:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
3 3 3 10 3 3 10 3
output:
0.1875000000 0.1875000000 0.6250000000
result:
ok 3 numbers
Test #45:
score: 0
Accepted
time: 1ms
memory: 3728kb
input:
2 2 3 4 3 4
output:
0.0000000000 0.0000000000 1.0000000000
result:
ok 3 numbers
Test #46:
score: 0
Accepted
time: 102ms
memory: 3664kb
input:
7 7 922750124 99645786 685060385 948410807 266950246 996521461 883971852 266950246 99645786 883971852 685060385 922750124 996521461 948410807
output:
0.3633563714 0.2795664055 0.3570772231
result:
ok 3 numbers
Test #47:
score: 0
Accepted
time: 132ms
memory: 3768kb
input:
7 7 241155912 361580213 393947982 781406405 485516551 277202028 115028196 485516551 361580213 115028196 393947982 241155912 277202028 781406405
output:
0.3701760936 0.2787899453 0.3510339611
result:
ok 3 numbers
Test #48:
score: 0
Accepted
time: 82ms
memory: 3844kb
input:
7 7 565748008 734938287 873800405 879803305 473331973 893190834 623040014 473331973 734938287 623040014 873800405 565748008 893190834 879803305
output:
0.3643059080 0.3156035542 0.3200905378
result:
ok 3 numbers
Test #49:
score: 0
Accepted
time: 186ms
memory: 3680kb
input:
7 7 14 4 6 5 201506030 15 15 4 14 201506030 15 15 6 5
output:
0.1781837917 0.3370815099 0.4847346985
result:
ok 3 numbers
Test #50:
score: 0
Accepted
time: 116ms
memory: 3732kb
input:
7 7 3 2 3 5 784861968 2 1 2 3 784861968 1 2 3 5
output:
0.2230750219 0.3161515802 0.4607733979
result:
ok 3 numbers
Test #51:
score: 0
Accepted
time: 291ms
memory: 3748kb
input:
7 7 8 15 3 9 168061718 2 5 15 8 168061718 5 2 3 9
output:
0.2129695960 0.3199629951 0.4670674089
result:
ok 3 numbers
Test #52:
score: 0
Accepted
time: 111ms
memory: 3736kb
input:
7 7 859736717 19 19 18 13 10 7 7 10 13 18 19 19 859736717
output:
0.3936206526 0.1479672663 0.4584120812
result:
ok 3 numbers
Test #53:
score: 0
Accepted
time: 145ms
memory: 3736kb
input:
7 7 761045932 18 13 11 9 7 6 6 7 9 11 13 18 761045932
output:
0.3824676896 0.1474932387 0.4700390718
result:
ok 3 numbers
Test #54:
score: 0
Accepted
time: 168ms
memory: 3740kb
input:
7 7 379524878 17 16 14 10 6 1 1 6 10 14 16 17 379524878
output:
0.3792602933 0.1765367221 0.4442029846
result:
ok 3 numbers
Test #55:
score: 0
Accepted
time: 177ms
memory: 3664kb
input:
7 7 986258805 329018732 16 14 10 10 4 4 10 10 14 16 329018732 986258805
output:
0.3352065235 0.1682281865 0.4965652900
result:
ok 3 numbers
Test #56:
score: 0
Accepted
time: 177ms
memory: 3732kb
input:
7 7 402437510 39859989 20 20 18 17 7 7 17 18 20 20 39859989 402437510
output:
0.3286994736 0.1602630583 0.5110374681
result:
ok 3 numbers
Test #57:
score: 0
Accepted
time: 211ms
memory: 3668kb
input:
7 7 719895666 88341845 15 11 10 6 5 5 6 10 11 15 88341845 719895666
output:
0.3415410588 0.1694365967 0.4890223446
result:
ok 3 numbers
Test #58:
score: 0
Accepted
time: 284ms
memory: 3684kb
input:
7 7 22 657372492 8 20 531193761 10 21 8 22 20 657372492 531193761 21 10
output:
0.2830320359 0.2143316414 0.5026363227
result:
ok 3 numbers
Test #59:
score: 0
Accepted
time: 340ms
memory: 3768kb
input:
7 7 8 559730577 2 23 543514141 3 24 2 8 23 559730577 543514141 24 3
output:
0.2836816166 0.2220157134 0.4943026700
result:
ok 3 numbers
Test #60:
score: 0
Accepted
time: 234ms
memory: 3736kb
input:
7 7 24 416408320 4 25 698151361 24 15 4 24 25 416408320 698151361 15 24
output:
0.2975163684 0.2472865870 0.4551970446
result:
ok 3 numbers