# -*- coding: utf-8 -*-
from collections import defaultdict
N = 10000
# 素因数分解
def f(n):
res = defaultdict(int)
d = 2
while d * d <= n:
while n % d == 0:
res[d] += 1
n /= d
d += 1
if n > 1:
res[n] += 1
return res
for i in xrange(1, N+1):
a = f(i)
y = i
for k, v in a.items():
while v >= 2:
y /= (k * k)
v -= 2
x = int((i / y) ** .5)
res = '√{0} -> '.format(i)
if y == 1:
print (res + '{0}').format(x)
elif x == 1:
print (res + '√{0}').format(y)
else:
print (res + '{0}√{1}').format(x, y)
# 初心者向け
import math t = [] for i in range(int(math.sqrt(10000)), 1, -1): t.append(i**2) print "√" + str(1) + " -> " + str(1) for r in range(2, 10000 + 1): u = [] if r in t: print "√" + str(r) + " -> " + str(int(math.sqrt(r))) else: x = 1 for w in t: if r % w == 0: r /= w x *= (int(math.sqrt(w))) if x > 1: print "√" + str(r*(x**2)) + " -> " + str(x) + "√" + str(r) else: print "√" + str(r) + " -> " + "√" + str(r)