#include <bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
using namespace std;
#define int long long int
const int N = 2e3 + 100;
const int md = 1e9 + 7;
const int INF = 1e9;
int32_t main(int32_t argc, char *argv[]) {
ios::sync_with_stdio(false);
cin.tie(nullptr);
vector<int> ans(N);
ans[0] = 1;
ans[1] = 2;
for (int i = 2; i < N; i++)
ans[i] = (ans[i - 1] * ans[i - 2]) % md;
int T = 1;
cin >> T;
while (T--) {
int n;
cin >> n;
cout << ans[n] << '\n';
for (int i = 0; i < n; i++)
cout << 1 << " ";
cout << '\n';
}
return 0;
}
