Medium
Given an array nums
of distinct positive integers, return the number of tuples (a, b, c, d)
such that a * b = c * d
where a
, b
, c
, and d
are elements of nums
, and a != b != c != d
.
Example 1:
Input: nums = [2,3,4,6]
Output: 8
Explanation: There are 8 valid tuples:
(2,6,3,4) , (2,6,4,3) , (6,2,3,4) , (6,2,4,3)
(3,4,2,6) , (4,3,2,6) , (3,4,6,2) , (4,3,6,2)
Example 2:
Input: nums = [1,2,4,5,10]
Output: 16
Explanation: There are 16 valid tuples:
(1,10,2,5) , (1,10,5,2) , (10,1,2,5) , (10,1,5,2)
(2,5,1,10) , (2,5,10,1) , (5,2,1,10) , (5,2,10,1)
(2,10,4,5) , (2,10,5,4) , (10,2,4,5) , (10,2,5,4)
(4,5,2,10) , (4,5,10,2) , (5,4,2,10) , (5,4,10,2)
Constraints:
1 <= nums.length <= 1000
1 <= nums[i] <= 104
nums
are distinct.class Solution {
fun tupleSameProduct(nums: IntArray): Int {
val ab = HashMap<Int, Int>()
for (i in nums.indices) {
for (j in i + 1 until nums.size) {
ab[nums[i] * nums[j]] = ab.getOrDefault(nums[i] * nums[j], 0) + 1
}
}
var count = 0
for (entry: Map.Entry<Int, Int> in ab.entries) {
val `val`: Int = entry.value
count += `val` * (`val` - 1) / 2
}
return count * 8
}
}