1913. Maximum Product Difference Between Two Pairs
Easy
The product difference between two pairs
(a, b) and (c, d) is defined as (a * b) - (c * d).- For example, the product difference between
(5, 6)and(2, 7)is(5 * 6) - (2 * 7) = 16.
Given an integer array
nums, choose four distinct indices w, x, y, and z such that the product difference between pairs (nums[w], nums[x]) and (nums[y], nums[z]) is maximized.Return the maximum such product difference.
Example 1:
Input: nums = [5,6,2,7,4]
Output:
34
Explanation:
We can choose indices 1 and 3 for the first pair (6, 7) and indices 2 and 4 for the second pair (2, 4).
The product difference is (6 * 7) - (2 * 4) = 34.
Example 2:
Input: nums = [4,2,5,9,7,4,8]
Output:
64
Explanation:
We can choose indices 3 and 6 for the first pair (9, 8) and indices 1 and 5 for the second pair (2, 4).
The product difference is (9 * 8) - (2 * 4) = 64.
Constraints:
4 <= nums.length <= 1041 <= nums[i] <= 104
func maxProductDifference(nums []int) int {
max, max2, min, min2 := math.MinInt64, math.MinInt64, math.MaxInt64, math.MaxInt64
for _, val := range nums {
if val>max {
max2 = max
max = val
} else if val>max2 {
max2 = val
}
if val<min {
min2 = min
min = val
} else if val<min2 {
min2 = val
}
}
return max*max2 - min*min2
}