import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } string COLOR(string s = "") { return "\x1b[" ~ s ~ "m"; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } bool solve(long N) { if (N & 1) return true; foreach (a; 2 .. N) if (N % a != 0) { // return ((a & (a - 1)) != 0); return (gcd(N, a) == 1); } return false; } void main() { debug {{ foreach (n; 2 .. 1000 + 1) { auto dp = new bool[n + 1]; foreach (y; 2 .. n + 1) { foreach (x; 2 .. y + 1) { if (n % x != 0 && gcd(x, y) == 1) { if (!dp[x]) dp[y] = true; } } } if (n <= 10) { // writeln(n, ": ", dp[n], " ", dp); } if (!dp[n]) { // writeln(n, ": ", dp); } if (n == 420 || n == 840) { foreach (y; 2 .. n + 1) if (y == n || n % y != 0) { writeln(y, ": ", dp[y]); } } // assert(!dp[n] == (n == 2 || n % 12 == 6), format("%s: %s", n, dp[n])); assert(dp[n] == solve(n), format("%s: %s", n, dp[n])); } }} try { for (; ; ) { const numCases = readInt; foreach (caseId; 0 .. numCases) { const N = readLong; writeln(solve(N) ? "K" : "P"); } } } catch (EOFException e) { } }