# Program to find minimum difference between two elements from two lists in Python

Suppose we have two lists L1 and L2, we have to find the smallest difference between a number from L1 and a number from L2.

So, if the input is like L1 = [2, 7, 4], L2 = [16, 10, 11], then the output will be 3, as the smallest difference is 10 - 7 = 3.

To solve this, we will follow these steps −

• sort the list L1 and sort the list L2
• ans := infinity
• i := 0, j := 0
• while i < size of L1 and j < size of L2, do
• ans := minimum of ans and |L1[i] - L2[j]|
• if L1[i] < L2[j], then
• i := i + 1
• otherwise,
• j := j + 1
• return ans

Let us see the following implementation to get better understanding −

## Example

Live Demo

class Solution:
def solve(self, L1, L2):
L1.sort()
L2.sort()
ans = float("inf")
i = j = 0
while i < len(L1) and j < len(L2):
ans = min(ans, abs(L1[i] - L2[j]))
if L1[i] < L2[j]:
i += 1
else:
j += 1
return ans
ob = Solution()
L1 = [2, 7, 4] L2 = [16, 10, 11]
print(ob.solve(L1, L2))

## Input

[2, 7, 4], [16, 10, 11]

## Output

3