import heapq def read_data(): N = int(input()) ps = [list(map(int, input().split())) for i in range(N)] return N, ps def solve(N, ps): dist = set_dist(ps) tick = 10 start = 0 goal = N - 1 dist_s = [dist[start][v] for v in range(N)] dist_g = [dist[goal][v] for v in range(N)] pq_s = [(dist_s[v], v) for v in range(1, N)] pq_g = [(dist_g[v], v) for v in range(0, N - 1)] heapq.heapify(pq_s) heapq.heapify(pq_g) max_scale2 = 0 found = False while True: d_s, vs = get_next(pq_s, dist_s) if d_s > max_scale2: max_scale2 = d_s found = process(dist_s, dist_g, pq_s, vs, dist[vs]) if found: break d_g, vg = get_next(pq_g, dist_g) if d_g > max_scale2: max_scale2 = d_g found = process(dist_g, dist_s, pq_g, vg, dist[vg]) if found: break return square_round(max_scale2, tick) def set_dist(ps): N = len(ps) dist = [[0] * N for v in range(N)] for i in range(N-1): x0, y0 = ps[i] for j in range(i + 1, N): x1, y1 = ps[j] d = (x0 - x1) ** 2 + (y0 - y1) ** 2 dist[i][j] = d dist[j][i] = d return dist def get_next(pq, dist_x): d, v = pq[0] while not dist_x[v]: heapq.heappop(pq) d, v = pq[0] return d, v def process(dist_0, dist_1, pq_0, v0, dist_v0): heapq.heappop(pq_0) if not dist_1[v0]: return True dist_0[v0] = 0 for new_v, (d, new_d) in enumerate(zip(dist_0, dist_v0)): if new_d < d: heapq.heappush(pq_0, (new_d, new_v)) dist_0[new_v] = new_d return False def square_round(x_sq, tick): x = x_sq ** 0.5 x_int = (int(x) // tick) * tick if x_int ** 2 != x_sq: x_int += tick return x_int if __name__ == '__main__': N, ps = read_data() print(solve(N, ps))