def log_search(func):
    def wrapper(nums, target):
        result = func(nums, target)
        return result
    return wrapper

@log_search
def find_target_position(nums, target):
    left, right = 0, len(nums) - 1
    comparisons = 0
    
    while left <= right:
        mid = left + (right - left) // 2
        comparisons += 1
        
        if nums[mid] == target:
            return f"Target found at index {mid} "
        elif nums[mid] < target:
            left = mid + 1
        else:
            right = mid - 1
    
    return f"Target not found. It should be inserted at index {left}"


if __name__ == "__main__":
    examples = [
        ([1, 3, 5, 6], 5),   
        ([1, 3, 5, 6], 2),  
        ([1, 3, 5, 6,7], 8)   
    ]
    
    for nums, target in examples:
        print(find_target_position(nums,target))