Added easy programming challenge with specifications and examples.

programming_interview/easy_challenge.md

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+# Easy Programming Challenge
+
+## Problem Statement
+Write a function `find_max` that takes a list of integers and returns the maximum value in the list.
+
+## Input/Output Specifications
+- Input:
+  - A list of integers `nums` (1 <= len(nums) <= 10^5) where -10^4 <= nums[i] <= 10^4.
+- Output:
+  - An integer representing the maximum value in the list.
+
+## Examples
+- Input: [1, 2, 3, 4, 5]
+  Output: 5
+
+- Input: [-5, -4, -3, -2, -1]
+  Output: -1
+
+## Constraints
+- The list will have at least one integer.
+- Do not use built-in functions to find the maximum value.