import sys
input = sys.stdin.readline

query = [int(input()) for _ in [0] * int(input())]

m = max(query)
is_prime = [True] * (m + 1)
is_prime[0] = is_prime[1] = False
for i in range(2, int(m ** 0.5 + 2)):
	if not(is_prime[i]):
		continue
	for j in range(i * i, m + 1, i):
		is_prime[j] = False

dp = [0] * (m + 1)
ans = [''] * (m + 1)
for n in range(2, m + 1):
	dp[n] = dp[n - 1]
	if(is_prime[n]):
		dp[n] += 1
		ans[n] = 'P'
		continue
	ans[n] = 'K' if(((n - 2) - dp[n] + dp[n >> 1]) & 1) else 'P'

for k in query:
	print(ans[k])