n = int(input()) A = list(map(int, input().split())) A.sort() ans = [0] * n cnt = {} tot = 0 for i, a in enumerate(A): x = a - i cnt[x] = cnt.get(x, 0) + 1 tot += cnt.get(x + 1, 0) cnt[x] += cnt.get(x + 1, 0) cnt[x + 1] = 0 ans[i] += tot A = [-a for a in A[::-1]] ans = ans[::-1] cnt = {} tot = 0 for i, a in enumerate(A): x = a - i cnt[x] = cnt.get(x, 0) + 1 tot += cnt.get(x + 1, 0) cnt[x] += cnt.get(x + 1, 0) cnt[x + 1] = 0 ans[i] += tot print(min(ans))