Hard
You have two fruit baskets containing n fruits each. You are given two 0-indexed integer arrays basket1 and basket2 representing the cost of fruit in each basket. You want to make both baskets equal. To do so, you can use the following operation as many times as you want:
i and j, and swap the ith fruit of basket1 with the jth fruit of basket2.min(basket1[i],basket2[j]).Two baskets are considered equal if sorting them according to the fruit cost makes them exactly the same baskets.
Return the minimum cost to make both the baskets equal or -1 if impossible.
Example 1:
Input: basket1 = [4,2,2,2], basket2 = [1,4,1,2]
Output: 1
Explanation: Swap index 1 of basket1 with index 0 of basket2, which has cost 1. Now basket1 = [4,1,2,2] and basket2 = [2,4,1,2]. Rearranging both the arrays makes them equal.
Example 2:
Input: basket1 = [2,3,4,1], basket2 = [3,2,5,1]
Output: -1
Explanation: It can be shown that it is impossible to make both the baskets equal.
Constraints:
basket1.length == bakste2.length1 <= basket1.length <= 1051 <= basket1[i],basket2[i] <= 109class Solution {
fun minCost(basket1: IntArray, basket2: IntArray): Long {
val n = basket1.size
val map1: MutableMap<Int, Int> = HashMap()
val map2: MutableMap<Int, Int> = HashMap()
var minVal = Int.MAX_VALUE // Use on indirect swap
// Counting the basket's number to each HashMap
for (i in 0 until n) {
map1[basket1[i]] = map1.getOrDefault(basket1[i], 0) + 1
map2[basket2[i]] = map2.getOrDefault(basket2[i], 0) + 1
minVal = minVal.coerceAtMost(basket1[i])
minVal = minVal.coerceAtMost(basket2[i])
}
// build swap list, if any number is too more, add numbers to prepare swap list
val swapList1: MutableList<Int> = ArrayList()
for (key in map1.keys) {
val c1 = map1[key]!!
val c2 = map2.getOrDefault(key, 0)
if ((c1 + c2) % 2 == 1) return -1
if (c1 > c2) {
var addCnt = (c1 - c2) / 2
while (addCnt-- > 0) {
swapList1.add(key)
}
}
}
val swapList2: MutableList<Int> = ArrayList()
for (key in map2.keys) {
val c1 = map1.getOrDefault(key, 0)
val c2 = map2[key]!!
if ((c1 + c2) % 2 == 1) return -1
if (c2 > c1) {
var addCnt = (c2 - c1) / 2
while (addCnt-- > 0) {
swapList2.add(key)
}
}
}
// Sorting
swapList1.sort()
swapList2.sortWith { a: Int, b: Int -> b - a }
// visite swap list
var res: Long = 0
for (i in swapList1.indices) {
// Two choices to swap, direct swap or indirect swap
res += (2 * minVal).coerceAtMost(swapList1[i].coerceAtMost(swapList2[i])).toLong()
}
return res
}
}