Syntax error Program to find largest distance pair from two list of numbers in Python

Program to find largest distance pair from two list of numbers in Python

Suppose we have two list of numbers called A and B, and their lengths are same. We have to find the maximum value for all 0 ≤ i < j < n: |a[i] - a[j]| + |b[i] - b[j]| + |i - j|

So, if the input is like A = [2, 4, 10, 6] B = [3, 4, 7, 5], then the output will be 14, as when i = 0 and j = 2 and we get |2 - 10| + |3 - 7| + |1 - 3|.

To solve this, we will follow these steps −

  • ans := 0
  • n := size of a
  • for each pair (s, t) in [(-1, -1) ,(-1, 1) ,(1, -1) ,(1, 1) ], do
    • cur_min := infinity
    • cur_max := -infinity
    • for i in range 0 to n, do
      • tmp := s * a[i] + t * b[i] + i
      • cur_min := minimum of cur_min, tmp
      • cur_max := maximum of cur_max, tmp
    • ans := maximum of ans, (cur_max - cur_min)
  • return ans

Let us see the following implementation to get better understanding −

Example

 Live Demo

class Solution:
   def solve(self, a, b):
      ans = 0
      n = len(a)
      for s, t in [(-1, -1), (-1, 1), (1, -1), (1, 1)]:
         cur_min = float("inf")
         cur_max = float("-inf")
         for i in range(n):
            tmp = s * a[i] + t * b[i] + i
            cur_min = min(cur_min, tmp)
            cur_max = max(cur_max, tmp)
            ans = max(ans, cur_max - cur_min)
      return ans
ob = Solution()
A = [2, 4, 10, 6]
B = [3, 4, 7, 5]
print(ob.solve(A, B))

Input

[2, 4, 10, 6],[3, 4, 7, 5]

Output

14
Updated on: 2020-11-19T06:43:02+05:30

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