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>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
bool ok[10][10];
void brute() {
ok[0][0] = 1;
F0R(i,10) {
F0R(j,10) {
// cout << ok[i][j];
if (ok[i][j]) cout << i << " " << j << "\n";
if (ok[i][j] && i+j+1 < 10) ok[i+j+1][j] = ok[i][i+j+1] = 1;
}
cout << "\n";
}
}
int K;
int get(int a, int b) { // a >= b
if (a == b) {
if (a != 1) return MOD;
return 0;
}
int mul = (a-1)/b;
return mul+get(b,a-mul*b);
}
void GET(int l, int r) {
if (l == r) return;
if (l > r) {
int mul = (l-1)/r;
GET(l-mul*r,r);
F0R(i,mul) cout << "0 ";
} else {
int mul = (r-1)/l;
GET(l,r-mul*l);
F0R(i,mul) cout << "1 ";
}
}
void solve() {
cin >> K;
int ans = 0;
pi bes = {MOD,MOD};
F0R(i,K+1) {
int x = get(max(i+1,K-i+1),min(i+1,K-i+1));
bes = min(bes,{x,i});
if (x < MOD) ans ++;
}
cout << ans << "\n";
GET(bes.s+1,K-bes.s+1);
cout << "\n";
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int T; cin >> T;
F0R(i,T) solve();
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
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