def main():
    N = int(input())
    A = {j: i for i, j in enumerate(map(int, input().split()))}

    len_ = 0
    i = N
    while i > 0:
        l = 0
        while i > 1:
            if A[i] > A[i-1]:
                l += 1
            else:
                break
            i -= 1
        len_ = max(len_, l)
        i -= 1

    print(N - 1 - len_)

main()