#include #include #include #include #define MAXN 1005 using namespace std; int N, G[MAXN][MAXN], c[MAXN], idx; int dgn[MAXN]; int l[MAXN][MAXN], r[MAXN][MAXN], u[MAXN][MAXN], d[MAXN][MAXN]; struct Node { int x, sign, key; bool operator < (Node temp) const { if (x != temp.x) { return x < temp.x; } else { return sign < temp.sign; } } }p[MAXN<<1]; int lowbit(int x) { return x & -x; } void addpoint(int a, int b) { ++idx; p[idx].x = a, p[idx].sign = 0; p[idx].key = a; ++idx; p[idx].x = b, p[idx].sign = 1; p[idx].key = a; } void add(int x) { for (int i = x; i <= N; i += lowbit(i)) { c[i] += 1; } } int sum(int x) { int ret = 0; for (int i = x; i > 0; i -= lowbit(i)) { ret += c[i]; } return ret; } int solve() { int ret = 0; for (int i = N; i >= 1; --i) { idx = -1; for (int j = 1; j <= (N-i+1); ++j) { if (G[i+j-1][j]) { addpoint(j, j+min(r[i+j-1][j], d[i+j-1][j])-1); dgn[j] = j - min(u[i+j-1][j], l[i+j-1][j])+1; } } if (idx == -1) { continue; } sort(p, p+idx+1); memset(c, 0, sizeof (c)); for (int k = 0; k <= idx; ++k) { if (!p[k].sign) { ret -= sum(p[k].key); add(dgn[p[k].x]); } else { ret += sum(p[k].key); } } } for (int j = 2; j <= N; ++j) { idx = -1; for (int i = 1; i <= (N-j+1); ++i) { if (G[i][j+i-1]) { addpoint(i, i+min(r[i][j+i-1], d[i][j+i-1])-1); dgn[i] = i - min(u[i][j+i-1], l[i][j+i-1])+1; } } if (idx == -1) { continue; } sort(p, p+idx+1); memset(c, 0, sizeof (c)); for (int k = 0; k <= idx; ++k) { if (!p[k].sign) { ret -= sum(p[k].key); add(dgn[p[k].x]); } else { ret += sum(p[k].key); } } } return ret; } int main() { int T, ca = 0; scanf("%d", &T); while (T--) { scanf("%d", &N); memset(d, 0, sizeof (d)); memset(r, 0, sizeof (r)); for (int i = 1; i<= N; ++i) { for (int j = 1; j <= N; ++j) { scanf("%d", &G[i][j]); if (G[i][j]) { u[i][j] = G[i-1][j] ? u[i-1][j] + 1 : 1; l[i][j] = G[i][j-1] ? l[i][j-1] + 1 : 1; } } } for (int i = N; i >= 1; --i) { for (int j = N; j >= 1; --j) { if (G[i][j]) { d[i][j] = G[i+1][j] ? d[i+1][j] + 1 : 1; r[i][j] = G[i][j+1] ? r[i][j+1] + 1 : 1; } } } printf("Case %d: %d\n", ++ca, solve()); } return 0; }