import sys import math def main(): input = sys.stdin.read().split() N = int(input[0]) A = list(map(int, input[1:N+1])) if N == 1: print(1) print(2) return gaps = [A[i] - A[i-1] for i in range(1, N)] if N > 1 else [] max_gap = max(gaps) if gaps else 0 max_A = A[-1] candidates = set() for X in range(1, min(200000, max_A + 2)): candidates.add(X) if max_gap > 0: candidates.update({max_gap, max_gap - 1, max_gap + 1, max_gap // 2, (max_gap + 1) // 2}) candidates.update({max_A, max_A + 1, max_A + 2}) candidates.add((max_gap // 3) if max_gap > 0 else 0) candidates.add((max_gap * 2 // 3) if max_gap > 0 else 0) for a in A: if a == 0: continue max_k = int(math.isqrt(a)) + 2 for k in range(1, max_k): candidates.add(a // k) candidates.add(a // k + 1) candidates.add(a // k - 1) candidates.discard(0) if not candidates: print(1) print(2) return min_f = float('inf') best_X = None for X in sorted(candidates): if X <= 0: continue prev = A[0] // X count = 1 for num in A[1:]: current = num // X if current != prev: count += 1 prev = current current_f = (X + 1) * count if current_f < min_f or (current_f == min_f and X < best_X): min_f = current_f best_X = X X_candidate = max_A + 1 current_f = (X_candidate + 1) * 1 if current_f < min_f or (current_f == min_f and X_candidate < best_X): min_f = current_f best_X = X_candidate print(best_X) print(min_f) if __name__ == '__main__': main()