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 mp make_pair
#define pb push_back
#define pii pair<int,int>
#define LL long long
#define st first
#define nd second
#define endl '\n'
using namespace std;
pii gcd(int x,int y) {
if(x<y) swap(x,y);
if(y==0) return mp(x,0);
pii ret=gcd(y,x%y);
ret.nd+=(x/y);
return ret;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int t;
cin>>t;
while(t--) {
int k,cnt=0,a1=-1,a2,mn=10000000;
pii t;
cin>>k;
for(int i=1;i<=k+1&&i<k-i+2;++i) {
t=gcd(i,k-i+2);
if(t.st==1) {
cnt+=2;
if(a1==-1||mn>t.nd) {
a1=i; a2=k-i+2; mn=t.nd;
}
}
}
cout<<cnt<<endl;
while(a1!=1||a2!=1) {
if(a1>a2) {
a1-=a2;
cout<<0<<" ";
}
else {
a2-=a1;
cout<<1<<" ";
}
}
cout<<endl;
}
}
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