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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#875581 | #9980. Boolean Function Reconstruction | Fesdrer | WA | 1ms | 3712kb | C++17 | 1.5kb | 2025-01-29 23:31:13 | 2025-01-29 23:31:23 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int N=15;
int T,n;
char a[1<<N];
vector<char> ans;
void dfs(int x,int l,int r){
if(x==0){
ans.push_back('a');
return;
}
int mid=(l+r)/2,tag=0;
for(int i=l;i<=mid;i++) if(a[i]=='1') tag++;
if(tag==0){
for(int i=mid+1;i<=r;i++) if(a[i]=='1') tag++;
assert(tag);
if(tag==1&&a[mid+1]=='1') ans.push_back('a'+x);
else{
ans.push_back('a'+x),ans.push_back('&');
ans.push_back('('),dfs(x-1,mid+1,r),ans.push_back(')');
}
}
else if(tag==1&&a[l]=='1') ans.push_back('a'+x);
else{
ans.push_back('(');
dfs(x-1,l,mid);
ans.push_back(')');
tag=0;
for(int i=mid+1;i<=r;i++) if(a[i]=='1') tag++;
if(tag==0) return;
else if(tag==1&&a[mid+1]=='1') ans.push_back('|'),ans.push_back('a'+x);
else{
ans.push_back('|'),ans.push_back('a'+x),ans.push_back('&');
ans.push_back('('),dfs(x-1,mid+1,r),ans.push_back(')');
}
}
}
void solve(){
cin>>n>>a;
for(int s=(1<<n)-1;s>=0;s--) for(int i=0;i<n;i++)
if((s&(1<<i))&&a[s]=='0'&&a[s-(1<<i)]=='1'){
cout<<"No\n";
return;
}
cout<<"Yes\n";
for(int s=(1<<n)-1;s>=0;s--) for(int i=0;i<n;i++)
if((s&(1<<i))&&a[s]=='1'&&a[s-(1<<i)]=='1') a[s]='0';
ans.clear();
int tag=0;
for(int i=0;i<(1<<n);i++) if(a[i]=='1') tag++;
if(tag==0) cout<<"F\n";
else if(tag==1&&a[0]=='1') cout<<"T\n";
else{
ans.clear();
dfs(n-1,0,(1<<n)-1);
for(char i:ans) cout<<i;
cout<<"\n";
}
}
int main(){
ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
cin>>T;
while(T--) solve();
return 0;
}
Details
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Test #1:
score: 0
Wrong Answer
time: 1ms
memory: 3712kb
input:
7 2 0001 2 0111 2 1111 3 00010111 1 10 2 0101 5 00000000000000000000000000000001
output:
Yes b&(a) Yes (a)|b Yes T Yes (b&(a))|c&((a)|b) No Yes (a) Yes e&(d&(c&(b&(a))))
result:
wrong answer invalid expressions 9 (test case 1)