#include #include class UnionFind { private: std::vector table; public: UnionFind(int n) { table = std::vector (n, -1); } ~UnionFind(){}; void unite(int x, int y) { x = find(x); y = find(y); if (x == y) return; if (table[x] >= table[y]) { table[y] += table[x]; table[x] = y; } else { table[x] += table[y]; table[y] = x; } } int find(int x) { if (table[x] < 0) return x; return table[x] = find(table[x]); // 根を張り替えながら再帰的に根ノードを探す } }; int N; long long int dists[1001][1001]; long long int f(long long int x0, long long int y0, long long int x1, long long int y1) { return (x0-x1)*(x0-x1) + (y0-y1)*(y0-y1); } bool ok(long long int m) { UnionFind uf = UnionFind(N); for (int i = 0; i < N; i++) for (int j = i+1; j < N; j++) if (dists[i][j] <= m) uf.unite(i, j); return uf.find(0) == uf.find(N-1); } long long int sqrtint(long long int n) { long long int i; for (i = 0; n > 0; i++) n -= i * 2 + 1; return i-1; } int main() { long long int x[1000]; long long int y[1000]; scanf("%d", &N); for (int i = 0; i < N; i++) { scanf("%d", &x[i]); scanf("%d", &y[i]); } long long int high = 1000000000000000000*2; long long int low = 0; long long int middle; for (int i = 0; i < N; i++) for (int j = i+1; j < N; j++) dists[i][j] = f(x[i], y[i], x[j], y[j]); while (high-low > 1) { middle = (high+low)/2; if (ok(middle)) high = middle; else low = middle; } if (!ok(high)) high = low; long long int sqrt = sqrtint(high); if (sqrt*sqrt < high) sqrt++; int ans = sqrt/10*10; if (sqrt%10 > 0) ans += 10; printf("%d\n", ans); return 0; }