import sys def main(): N = int(sys.stdin.readline()) L = int(sys.stdin.readline()) if N == 1: print(0) return X = [0] * (N + 2) # 1-based index, X[1] = 0 for i in range(2, N+1): X[i] = int(sys.stdin.readline()) # Check contact area for all adjacent plates all_contact_ok = True for i in range(1, N): a1 = X[i] b1 = a1 + L a2 = X[i+1] b2 = a2 + L overlap = max(0, min(b1, b2) - max(a1, a2)) if overlap < 1: all_contact_ok = False break if not all_contact_ok: print(-1) return # Precompute suffix sums for X sum_suffix = [0] * (N + 2) sum_suffix[N] = X[N] for i in range(N-1, 0, -1): sum_suffix[i] = X[i] + sum_suffix[i+1] ans = 0 for i in range(1, N): sum_x = sum_suffix[i+1] m = N - i x_g = (sum_x / m) + L / 2.0 a_i = X[i] b_i = a_i + L a_j = X[i+1] b_j = a_j + L if not (a_i < x_g < b_i and a_j < x_g < b_j): ans += 1 print(ans) if __name__ == '__main__': main()