#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; using int64 = int64_t; #define int int64 #define double long double #define vi vector<int> #define mii map<int, int> #define pii pair<int, int> #define vii vector<pii> #define ff first #define ss second #define pb push_back #define ppb pop_back() #define in insert #define lb lower_bound #define ub upper_bound #define fr front() #define bk back() #define endl '\n' #define MP make_pair #define MSB(x) __lg(x) #define LSB(x) (int)log2((x) & -(x)) #define SORT(x) is_sorted(all(x)) #define size(x) (int)(x).size() #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define MAX(x) *max_element(all(x)) #define MIN(x) *min_element(all(x)) #define SUM(x) accumulate(all(x), 0LL) #define PRE(x, y) partial_sum(all(x), y.begin()) #define MEM(x, y) memset(x, y, sizeof(x)) #define CNT(x) __builtin_popcountll(x) #define rep(i, a, b) for (int i = (a); i < (b); i++) #define bck(i, a, b) for (int i = (a) - 1; i >= (b); i--) #define LEFT(a, l, r, k) rotate(a.begin() + l, a.begin() + l + (k % (r - l + 1)), a.begin() + r + 1) #define RIGHT(a, l, r, k) rotate(a.begin() + l, a.begin() + r + 1 - (k % (r - l + 1)), a.begin() + r + 1) /* --------------------------------------------------------- TEMPLATES --------------------------------------------------- */ class custom_hash{public: static uint64_t splitmix64(uint64_t x){ x += 0x9e3779b97f4a7c15; x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9; x = (x ^ (x >> 27)) * 0x94d049bb133111eb; return x ^ (x >> 31);} size_t operator()(uint64_t x) const {static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count(); return splitmix64(x + FIXED_RANDOM);} }; template<typename T1, typename T2> // cin >> pair<T1, T2> istream& operator>>(istream &in, pair<T1, T2> &p){ return (in >> p.first >> p.second);} template<typename T> // cin >> vector<T> istream& operator>>(istream &in, vector<T> &v){for(auto &it: v) cin >> it; return in;} template<typename T1, typename T2> // cout << pair<T1, T2> ostream& operator<<(ostream &out, const pair<T1, T2> &p){return (out << p.first << " " << p.second); } template<typename T> //cout << vector<T> ostream& operator<<(ostream &out, const vector<T> &c){for (auto &it: c) cout << it << " "; return out;} template<class T1, class T2 = vector<T1>, class T3 = less<T1>> ostream& operator<<(ostream& out, priority_queue<T1, T2, T3> const& pq){ static priority_queue<T1, T2, T3> a = pq; out << "{"; string sep; while(!a.empty()){out << sep << a.top(); sep = ", "; a.pop();} return (out << "}"); } template<class T> ostream& operator<<(ostream& out, queue<T> const& q){ static queue<T> a = q; out << "{"; string sep; while(!a.empty()){out << sep << a.front(); sep = ", "; a.pop();} return (out << "}"); } template<class T> ostream& operator<<(ostream& out, stack<T> const& s){ static stack<T> a = s; out << "{"; string sep; while(!a.empty()){out << sep << a.top(); sep = ", "; a.pop();} return (out << "}"); } template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; template <typename T> using min_heap = priority_queue<T, vector<T>, greater<T>>; template <typename T> using vec = vector<vector<T>>; template <typename T1, int T2> using var = vector<array<T1, T2>>; template <typename T1, typename T2> using umap = unordered_map<T1, T2, custom_hash>; template <typename T1, typename T2> using gphash = gp_hash_table<T1, T2, custom_hash>; template <typename T1, typename T2> void amax(T1 &x, T2 y) {if(x < y) x = y;} template <typename T1, typename T2> void amin(T1 &x, T2 y) {if(x > y) x = y;} /* ----------------------------------------------------------- DEBUGGING AREA ------------------------------------------------------ */ void __print(int x) {cerr << x;} void __print(double x) {cerr << x;} void __print(char x) {cerr << '\'' << x << '\'';} void __print(bool x) {cerr << (x ? "true" : "false");} void _print() {cerr << "]\n";} template <typename T1, typename T2> void __print(const pair<T1, T2> &x) {cerr << '{'; __print(x.ff); cerr << ','; __print(x.ss); cerr << '}';} template <typename T> void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";} template <typename T1, typename... T2> void _print(T1 t, T2... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);} #ifndef Future_Legendary_Grand_Master #define debug(x...) cerr << "[" << #x << "] = ["; _print(x) #else #define debug(x...) #endif /* --------------------------------------------------------- UNIVERSAL CONSTANTS --------------------------------------------------- */ const double pi = acos((double)-1.0); const double eps = 1e-9; const int mod = 1e9 + 7; const int mod2 = 998244353LL; const int64 inf = 2e18; const int64 INF = 9e18; const int dx[16] = {1, 0, 0, -1, 1, 1, -1, -1, 2, 2, 1, 1, -1, -1, -2, -2}; const int dy[16] = {0, -1, 1, 0, -1, 1, -1, 1, -1, 1, -2, 2, -2, 2, -1, 1}; /* --------------------------------------------------------- USEFUL FUNCTIONS ---------------------------------------------------- */ int testcase; int iseq(double x, double y) {return abs(x - y) < eps;} bool isSquare(int x) {int y = sqrtl(x); return x == y * y;} bool ispow2(int x) {return (x ? !(x & (x - 1)) : 0);} int ceill(int x, int y) {return (x >= 0 ? (x + y - 1) / y : x / y);} int floorr(int x, int y) {return x / y - ((x ^ y) < 0 and x % y);} int gcd(int x, int y) {return (x ? gcd(y % x, x) : y);} int lcm(int x, int y) {return x / gcd(x, y) * y;} void google() {cout << "Case #" << ++testcase << ": ";} int expo(int x, int y, int64 m = INF) {int res = 1; x = x % m; while (y > 0){if (y & 1) res = (res * x) % m; y = y >> 1LL, x = (x * x) % m;} return res;} int inv(int n, int m) {return expo(n, m - 2, m);} int gen(int x, int y) {srand(time(0)); return x + rand() % (y - x + 1);} mt19937_64 rng((unsigned uint64_t) chrono::steady_clock::now().time_since_epoch().count()); /* --------------------------------------------------------- FAST INPUT/OUTPUT ----------------------------------------------------- */ void IOS() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cout.precision(20); cout.setf(ios::fixed); // #undef endl // uncomment for interactives // #undef int // uncomment for MLEs or TLEs // find_by_order(K): Returns an iterator to the Kth largest element (counting from zero) // order_of_key (K): Returns the number of items that are strictly smaller than K } /* ------------------------------------------------------- SOLUTION TO THE PROBLEM ------------------------------------------------- */ void solve() { int n; cin >> n; vec<int> a(n, vi(n)); cin >> a; vector<mii> dp(n); vec<int> vis(n, vi(n)); rep(i, 0, n){ vis[i][i] = 2; rep(j, 0, i){ vis[i][j] = 1; } } auto dfs1 = [&](int i, int j, int k, auto &&dfs1){ if (!vis[i][j]) return; if (vis[i][j] == 2) dp[i][k]++; if (i + 1 < n) dfs1(i + 1, j, (k ^ a[i + 1][j]), dfs1); if (j + 1 < n) dfs1(i, j + 1, (k ^ a[i][j + 1]), dfs1); }; dfs1(0, 0, a[0][0], dfs1); int ans = 0; auto dfs2 = [&](int i, int j, int k, auto &&dfs2){ if (vis[i][j] == 1) return; if (vis[i][j] == 2) ans += dp[i][(k ^ a[i][j])]; if (i - 1 >= 0) dfs2(i - 1, j, (k ^ a[i - 1][j]), dfs2); if (j - 1 >= 0) dfs2(i, j - 1, (k ^ a[i][j - 1]), dfs2); }; dfs2(n - 1, n - 1, a[n - 1][n - 1], dfs2); cout << ans << endl; } int32_t main() { IOS(); int ttc = 1; // cin >> ttc; while (ttc--) solve(); return 0; }