```[[問題文>練習問題#k489212c]]
# -*- coding: utf-8 -*-
from collections import defaultdict

N = 10000

# 素因数分解
def f(n):
res = []
res = defaultdict(int)
d = 2
while d * d <= n:
while n % d == 0:
res.append(d)
res[d] += 1
n /= d
d += 1
if n > 1:
res.append(n)
res[n] += 1
return res

for i in xrange(1, N+1):
a = f(i)
y = i
while 1:
fin = 1
for e in a:
while a.count(e) >= 2:
y /= (e ** 2)
a.remove(e)
a.remove(e)
fin = 0
if fin:
break
for k, v in a.items():
while v >= 2:
y /= (k * k)
v -= 2
x = int((i / y) ** .5)
res = '√{0} -> '
res = '√{0} -> '.format(i)
if y == 1:
print (res + '{1}').format(i, x)
print (res + '{0}').format(x)
elif x == 1:
print (res + '√{1}').format(i, y)
print (res + '√{0}').format(y)
else:
print (res + '{1}√{2}').format(i, x, y)
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)
```