How to Solve Intervals Between Identical Elements Problem
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Intervals Between Identical Elements
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 ...
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Problem Statement
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.
Intervals Between Identical Elements
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Examples
arr = [2,1,3,1,2,3,3]
[4,2,7,2,4,4,5]
- 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
arr = [10,5,10,10]
[5,0,3,4]
- 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
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