#include // #include using namespace std; // using namespace atcoder; #define rep(i, a, n) for(int i = a; i < n; i++) #define rrep(i, a, n) for(int i = a; i >= n; i--) #define inr(l, x, r) (l <= x && x < r) #define ll long long #define ld long double // using mint = modint1000000007; // using mint = modint998244353; constexpr int IINF = 1001001001; constexpr ll INF = 1e18; template void chmax(t&a,u b){if(a void chmin(t&a,u b){if(b> n; vector s(n); rep(i, 0, n) cin >> s[i]; unordered_map dp; auto id = [&](int u, int l, int d, int r) -> ll { ll res = 0; res += (ll)u<<30; res += (ll)l<<20; res += (ll)d<<10; res += (ll)r; return res; }; rep(i, 0, n){ dp[id(i, n-1-i, i, n-1-i)] = 1; } rep(d, 1, n){ rep(i, 0, n){ int j = n-1-d-i; if(!inr(0, j, n)) continue; rep(k, 0, n){ int l = n-1+d-k; if(!inr(0, l, n)) continue; if(s[i][j] != s[k][l]) continue; ll i1 = id(i, j, k, l); if(inr(0, i+1, n) && inr(0, k-1, n)) dp[i1] = (dp[i1]+dp[id(i+1, j, k-1, l)])%mod; if(inr(0, i+1, n) && inr(0, l-1, n)) dp[i1] = (dp[i1]+dp[id(i+1, j, k, l-1)])%mod; if(inr(0, j+1, n) && inr(0, k-1, n)) dp[i1] = (dp[i1]+dp[id(i, j+1, k-1, l)])%mod; if(inr(0, j+1, n) && inr(0, l-1, n)) dp[i1] = (dp[i1]+dp[id(i, j+1, k, l-1)])%mod; } } } cout << dp[id(0, 0, n-1, n-1)] << endl; return 0; }