#include <functional>
#include <iostream>
#include <optional>
#include <vector>
#include <atcoder/modint>

using namespace std;
using Mint = atcoder::modint998244353;

int main()
{
	int N;
	cin >> N;
	vector<vector<int>> adj(N);
	for (int i = 1; i < N; i++)
	{
		int v;
		cin >> v;
		--v;
		adj[v].push_back(i);
	}
	function<Mint(int, int)> dfs = [&](int a, int h)
	{
		Mint ans = max(h, 1);
		for (auto b : adj[a])
			ans *= dfs(b, h + 1);
		return ans;
	};
	cout << dfs(0, 0).val() << endl;
}