import sys; input = sys.stdin.buffer.readline
sys.setrecursionlimit(10**7)
from collections import defaultdict
con = 10 ** 9 + 7; INF = float("inf")
import bisect

def LIS(N, A):
	DP = [INF] * N

	for i in range(N):
		x = bisect.bisect_left(DP, A[i])
		DP[x] = A[i]

	ans = bisect.bisect_left(DP, INF)
	# print(DP)

	return ans

def getlist():
	return list(map(int, input().split()))

#処理内容
def main():
	N = int(input())
	A = getlist()
	lis = LIS(N, A)
	print(N - lis)




if __name__ == '__main__':
	main()