Medium
You are given a 0-indexed array of n
integers arr
.
The interval between two elements in arr
is defined as the absolute difference between their indices. More formally, the interval between arr[i]
and arr[j]
is |i - j|
.
Return an array intervals
of length n
where intervals[i]
is the sum of intervals between arr[i]
and each element in arr
with the same value as arr[i]
.
Note: |x|
is the absolute value of x
.
Example 1:
Input: arr = [2,1,3,1,2,3,3]
Output: [4,2,7,2,4,4,5]
Explanation:
Index 0: Another 2 is found at index 4. |0 - 4| = 4
Index 1: Another 1 is found at index 3. |1 - 3| = 2
Index 2: Two more 3s are found at indices 5 and 6. |2 - 5| + |2 - 6| = 7
Index 3: Another 1 is found at index 1. |3 - 1| = 2
Index 4: Another 2 is found at index 0. |4 - 0| = 4
Index 5: Two more 3s are found at indices 2 and 6. |5 - 2| + |5 - 6| = 4
Index 6: Two more 3s are found at indices 2 and 5. |6 - 2| + |6 - 5| = 5
Example 2:
Input: arr = [10,5,10,10]
Output: [5,0,3,4]
Explanation:
Index 0: Two more 10s are found at indices 2 and 3. |0 - 2| + |0 - 3| = 5
Index 1: There is only one 5 in the array, so its sum of intervals to identical elements is 0.
Index 2: Two more 10s are found at indices 0 and 3. |2 - 0| + |2 - 3| = 3
Index 3: Two more 10s are found at indices 0 and 2. |3 - 0| + |3 - 2| = 4
Constraints:
n == arr.length
1 <= n <= 105
1 <= arr[i] <= 105
class Solution {
fun getDistances(arr: IntArray): LongArray {
val n = arr.size
val map: MutableMap<Int, MutableList<Int>> = HashMap()
for (i in 0 until n) {
var list = map[arr[i]]
if (list == null) {
list = ArrayList()
}
list.add(i)
map[arr[i]] = list
}
val ans = LongArray(n)
ans.fill(0)
for (list in map.values) {
var sum: Long = 0
val first = list[0]
for (i in 1 until list.size) {
sum = sum + list[i] - first
}
ans[first] = sum
var prevElements = 0
var nextElements = list.size - 2
for (i in 1 until list.size) {
val diff = list[i] - list[i - 1]
sum = sum + diff.toLong() * (prevElements - nextElements)
ans[list[i]] = sum
prevElements++
nextElements--
}
}
return ans
}
}