This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define pb push_back
#define fi first
#define se second
using namespace std;
const int inf = 1e9+7;
int answer(int a , int b){
int ans=0;
while(b){
int c=a%(b+1);
if(c == b) return inf;
ans+=a/(b+1);
a = b , b = c;
}
ans+=a/(b+1);
return ans;
}
vector<int> answer_lul(vector<int>x){
int pos=0;
vector<int>ans;
while(x.back()){
x.pb(x[pos]%(x[pos+1]+1));
if(x.back()==x[pos+1]){
ans.pb(inf);
return ans;
}
ans.pb(x[pos]/(x[pos+1]+1));
++pos;
}
ans.pb(x[pos]/(x[pos+1]+1));
return ans;
}
pair < int , vector<int> > solve(int k){
int len=inf , pr = 0, ans=0;
for(int prev=0;prev<=k;++prev){
if(prev>=k-prev)break;
int now=answer(k-prev, prev);
if(now!=inf)ans++;
if(now<len){
len = now, pr=prev;
}
}
if(len==inf)return{0,{}};
vector<int>x={k-pr,pr};
return {ans , answer_lul(x)};
}
signed main(){
ios_base::sync_with_stdio(0) , cin.tie(0), cout.tie(0);
int t;cin>>t;
while(t--){
int k;cin>>k;
pair<int,vector<int>>answer=solve(k);
// if(answer.fi==0){cout<<-1;continue;}
cout<< answer.fi*2 << '\n';
bool bt=0;
for(auto u : answer.se){
for(int z=0;z<u;++z)cout<<bt<<' ';
bt^=1;
}
cout<<'\n';
}
return 0;
}
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