import sys input = lambda : sys.stdin.readline().rstrip() sys.setrecursionlimit(2*10**5+10) write = lambda x: sys.stdout.write(x+"\n") debug = lambda x: sys.stderr.write(x+"\n") writef = lambda x: print("{:.12f}".format(x)) def hurui(n): """線形篩 pl: 素数のリスト mpf: iを割り切る最小の素因数 """ pl = [] mpf = [None]*(n+1) for d in range(2,n+1): if mpf[d] is None: mpf[d] = d pl.append(d) for p in pl: if p*d>n or p>mpf[d]: break mpf[p*d] = p return pl, mpf from collections import defaultdict def factor(num): d = defaultdict(int) if num==1: d.update({1:1}) return d while num>1: d[mpf[num]] += 1 num //= mpf[num] return d def fs(num): f = factor(num) ans = [1] for k,v in f.items(): tmp = [] for i in range(len(ans)): val = 1 for _ in range(v): val *= k ans.append(ans[i]*val) return ans pl, mpf = hurui(10**6) from math import gcd import random def is_prime(n): """miller_rabinによる素数判定 ※ 1は素数と扱う """ l = [2,3,5,7,11,13,17,19,23,29,31,37] if n==1 or n in l: return True d = n-1 s = 0 while d%2==0: s += 1 d //= 2 for a in l: v = pow(a,d,n) if v==1 or v==n-1: continue for _ in range(s): v = v*v % n if v==n-1: break else: return False return True def rho(n): """nを割り切る3以上の素数を返す(素数のときnを返す) """ if is_prime(n): return n while True: x = y = random.randint(1,n-1) g = 1 while g==1: x = (x*x - 3) % n y = (y*y - 3) % n y = (y*y - 3) % n g = gcd((x-y), n) if g>1: return rho(g) def factor(n): """高速な素因数分解 """ if n==1: return {} f = is_prime(n) if f: return {n:1} ans = {} while n%2==0: ans.setdefault(2, 0) ans[2] += 1 n //= 2 v = rho(n) while v!=n and n>1: ans.setdefault(v, 0) while n%v==0: n //= v ans[v] += 1 if n>3 and is_prime(n): ans.setdefault(n,0) ans[n] += 1 return ans v = rho(n) if n>1: ans.setdefault(n, 0) ans[n] += 1 return ans t = int(input()) ans = [] for i in range(t): x = int(input()) f = factor(x)