#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define mp make_pair
#define F first
#define S second
constexpr int mod = 998244353;
void compute() {
int n;
cin >> n;
vector<int> a(n);
for (int i = 1; i <= n - 1; i++) cin >> a[i];
vector<ll> dp(n + 1);
dp[1] = 1;
for (int i = 2; i <= n; i++) {
dp[i] = dp[i - 1] * (i - 1 - a[i - 1]) % mod;
}
ll ans = 0;
for (int i = 1; i <= n - 1; i++) {
(ans *= i) %= mod;
if (!a[i]) (ans += dp[i]) %= mod;
cout << ans << " ";
}
cout << "\n";
}
int main() {
// ios_base::sync_with_stdio(false);
// cin.tie(NULL);
int t;
cin >> t;
while (t--) compute();
return 0;
}
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