#include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; const int maxnode = 4000; const int MaxM = 70; const int MaxN = 70; int K; struct DLX { int n,m,size; int U[maxnode],D[maxnode],R[maxnode],L[maxnode],Row[maxnode],Col[maxnode]; int H[MaxN],S[MaxM]; int ands,ans[MaxN]; void init(int _n,int _m) { n = _n; m = _m; for(int i = 0;i <= m;i++) { S[i] = 0; U[i] = D[i] = i; L[i] = i-1; R[i] = i+1; } R[m] = 0; L[0] = m; size = m; for(int i = 1;i <= n;i++) H[i] = -1; } void Link(int r,int c) { ++S[Col[++size]=c]; Row[size] = r; D[size] = D[c]; U[D[c]] = size; U[size] = c; D[c] = size; if(H[r] < 0)H[r] = L[size] = R[size] = size; else { R[size] = R[H[r]]; L[R[H[r]]] = size; L[size] = H[r]; R[H[r]] = size; } } void remove(int c) { for(int i = D[c];i != c;i = D[i]) L[R[i]] = L[i], R[L[i]] = R[i]; } void resume(int c) { for(int i = U[c];i != c;i = U[i]) L[R[i]]=R[L[i]]=i; } bool v[maxnode]; int f() { int ret = 0; for(int c = R[0];c != 0;c = R[c])v[c] = true; for(int c = R[0];c != 0;c = R[c]) if(v[c]) { ret++; v[c] = false; for(int i = D[c];i != c;i = D[i]) for(int j = R[i];j != i;j = R[j]) v[Col[j]] = false; } return ret; } bool Dance(int d) { if(d + f() > K)return false; if(R[0] == 0)return d <= K; int c = R[0]; for(int i = R[0];i != 0;i = R[i]) if(S[i] < S[c]) c = i; for(int i = D[c];i != c;i = D[i]) { remove(i); for(int j = R[i];j != i;j = R[j])remove(j); if(Dance(d+1))return true; for(int j = L[i];j != i;j = L[j])resume(j); resume(i); } return false; } }; DLX g; struct Point { int x,y; void input() { scanf("%d%d",&x,&y); } }city[MaxM]; long long dis(Point a,Point b) { return (long long)abs(a.x-b.x)+(long long)abs(a.y-b.y); } int main() { int T; int n; scanf("%d",&T); int iCase = 0; while(T--) { iCase++; scanf("%d%d",&n,&K); assert(n >= 1 && n <= 60 && K >= 1 && K <= n); for(int i = 0;i < n;i++){ city[i].input(); assert(abs(city[i].x) <= 1000000000); assert(abs(city[i].y) <= 1000000000); } long long l = 0, r = 100000000000LL; long long ans = 0; while(l <= r) { long long mid = (l+r)/2; g.init(n,n); for(int i = 0;i < n;i++) for(int j = 0;j < n;j++) if(dis(city[i],city[j]) <= mid) g.Link(i+1,j+1); if(g.Dance(0)){r = mid-1;ans = mid;} else l = mid+1; } printf("Case #%d: %I64d\n",iCase,ans); } return 0; }