def problem74():
factorial_map = {}
for n in range(10, 100):
next_value = sum(mlib.factorial(int(c)) for c in str(n))
print next_value
return 0
def problem24():
"""
A permutation is an ordered arrangement of objects. For example,
3124 is one possible permutation of the digits 1, 2, 3 and 4. If
all of the permutations are listed numerically or alphabetically,
we call it lexicographic order. The lexicographic permutations of 0, 1 and 2 are:
012 021 102 120 201 210
What is the millionth lexicographic permutation of the digits:
0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?
"""
s = "0123456789"
n = 10 ** 6
k = ""
for x in range(9, -1, -1):
for i in range(0, 10):
if n > mlib.factorial(x):
n -= mlib.factorial(x)
else:
k += s[i]
s = s[:i] + s[i + 1 :]
break
return int(k)
def test_Factorial(self):
"""Tests mathlib.factorial"""
randPositiveINT = self.rand_positive_int()
randFLOAT1 = self.rand_float()
self.assertEqual(mathlib.factorial(0), 1)
self.assertEqual(mathlib.factorial(4), 24)
self.assertTrue(math.isnan(mathlib.factorial(-5)))
self.assertTrue(math.isnan(mathlib.factorial(4.532)))
self.assertTrue(
math.isnan(mathlib.factorial(randFLOAT1))
) # QUESTION: is this correct? randFLOAT1 could be 2 for example. FIXED
self.assertEqual(mathlib.factorial(randPositiveINT),
math.factorial(randPositiveINT))
def problem34():
"""
145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145.
Find the sum of all numbers which are equal to the sum of the
factorial of their digits.
Note: as 1! = 1 and 2! = 2 are not sums they are not included.
"""
fast_fac = {}
for i in range(0, 10):
fast_fac[i] = mlib.factorial(i)
for i in range(10, fast_fac[9] * 9):
fast_fac[i] = fast_fac[i / 10] + fast_fac[i % 10]
total = 0
for n in range(10, fast_fac[9] * 9):
if fast_fac[n] == n:
total += n
return total
def problem20():
"""
n! means n x (n - 1) x ... x 3 x 2 x 1
Find the sum of the digits in the number 100!
"""
return sum([int(x) for x in str(mlib.factorial(100))])
def runTest(self):
self.assertEqual(math.factorial(self.a),factorial(self.a))
self.assertEqual(factorial(self.g), 1)