2023-11-25 19:00:22 +0000 UTC
Sum of Absolute Differences in a Sorted Array
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class Solution {
public:
vector<int> getSumAbsoluteDifferences(vector<int>& nums) {
int n = nums.size();
vector<int> prefix = {nums[0]};
for (int i = 1; i < n; i++) {
prefix.push_back(prefix[i - 1] + nums[i]);
}
vector<int> ans;
for (int i = 0; i < n; i++) {
int leftSum = prefix[i] - nums[i];
int rightSum = prefix[n - 1] - prefix[i];
int leftCount = i;
int rightCount = n - 1 - i;
int leftTotal = leftCount * nums[i] - leftSum;
int rightTotal = rightSum - rightCount * nums[i];
ans.push_back(leftTotal + rightTotal);
}
return ans;
}
};