# Euler Solution 32

The product 7254 is unusual, as the identity, 39 × 186 = 7254, containing multiplicand, multiplier, and product is 1 through 9 pandigital.

Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.

# Solutions

## Python by Althalus

Runtime: 1.5 seconds

```def isPan(a,b,c):
list = []
for char in str(a):
if char not in list: list.append(char)
for char in str(b):
if a not in list: list.append(char)
for char in str(c):
if char not in list: list.append(char)
if len(list) == 9:
for i in range(1,10):
if str(i) not in list:
return False
return True
return False

list = []
total = 0
#sqrt(987654321) = 32426. By the time we pass this, we'll have covered everything.
for a in range(1,10):
for b in range(1,10000):
c = a*b
if panLength(a,b,c) == 9:
if isPan(a,b,c):
if c not in list:
print a,b,c
list.append(c)
#if panLength(a,b,c) > 9: break
for a in range(1,100):
for b in range(1,1000):
c = a*b
if panLength(a,b,c) == 9:
if isPan(a,b,c):
if c not in list:
#print c
list.append(c)
#if panLength(a,b,c) > 9: break

for num in list:
total =total+ num
print total
```