#nullable enable #region var (_input, _iter) = (Array.Empty(), 0); T I() where T : IParsable { while (_iter >= _input.Length) (_input, _iter) = (Console.ReadLine()!.Trim().Split(' '), 0); return T.Parse(_input[_iter++], null); } #endregion static T[] Range(int n, Func F) => Enumerable.Range(0, n).Select(_ => F()).ToArray(); const int Mod = 998244353; var n = I(); var g = Range(n, I); var f = new long[n, n, n]; var visited = new bool[n, n, n]; f[0, 0, n - 1] = g[0][0] == g[n - 1][n - 1] ? 1 : 0; var q = new Queue<(int, int, int)>(); q.Enqueue((0, 0, n - 1)); var ans = 0L; var ma = new[]{ (0, 1), (1, 0) }; var mb = new[]{ (-1, 0), (0, -1) }; while (q.Count > 0) { var key = q.Dequeue(); var (rs, sai, sbi) = key; var v = f[rs, sai, sbi]; var (ai, aj) = (sai, rs - sai); var (bi, bj) = (sbi, n * 2 - 2 - rs - sbi); if (rs == n - 1) { if ((ai, aj) == (bi, bj)) ans = (ans + v) % Mod; continue; } foreach (var (dai, daj) in ma) foreach (var (dbi, dbj) in mb) { var nai = ai + dai; var naj = aj + daj; var nbi = bi + dbi; var nbj = bj + dbj; if (Math.Max(nai, naj) == n || Math.Min(nbi, nbj) == -1) continue; if (g[nai][naj] != g[nbi][nbj]) continue; f[rs + 1, nai, nbi] += v; f[rs + 1, nai, nbi] %= Mod; if (!visited[rs + 1, nai, nbi]) { visited[rs + 1, nai, nbi] = true; q.Enqueue((rs + 1, nai, nbi)); } } } Console.WriteLine(ans);