#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define N 600005
#define pb push_back
#define ff first
#define ss second
#define all(x) x.begin(),x.end()
#define sz(s) (int)s.size()
ll T, n, a[N], t, ans,b[25];
string s, g;
map <string,int> vis;
int main () {
	cin >> n;
	while(n--) {
		cin >> t;
		int ans = t + 1, ans1 = t+1,inx = 0;
		vector <pair<int,int>> answer;
		for(int i = 0; i <= t;i++) {
			int x1 = t - i, x2 = i, new_sz = 0;
			while(x1 != x2 && new_sz < ans) {
				if(x1 > x2) {
					new_sz += (x1/(x2 + 1));
					x1 = (x1 % (x2 + 1));
				}
				else {
					new_sz += (x2/(x1 + 1));
					x2 = (x2 % (x1 + 1));
				}
			}
			if(x1 == 0 && x2 == 0 && new_sz < ans) {
				ans = new_sz;
				inx = i;
			}
			if (x1 > 0 || x2 > 0)ans1--;
		}
		if(ans == t+1) {
			cout << '2' << '\n';
			for(int i = 1; i <= t+1; i++) {
				cout << '1' << " " ;
			}
			cout << '\n';
			continue;
		}
		cout << ans1 << '\n';
		int x1 = t - inx, x2 = inx;
		while(x1 != x2) {
			if(x1 > x2) {
				for(int i = 1; i <= (x1 / (x2 + 1)); i++) {
					cout << '1' << " ";
				}
				x1 = (x1 % (x2 + 1));
			}
			else {
				for(int i = 1; i <= (x2 / (x1 + 1)); i++) {
					cout << '0' << " ";
				}
				x2 = (x2 % (x1 + 1));
			}
		}
		cout << '\n';
	}
}
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