1200. Minimum Absolute Difference
Given an array of distinct integers arr, find all pairs of elements with the minimum absolute difference of any two elements.
Return a list of pairs in ascending order(with respect to pairs), each pair a, b follows
- a, b are from arr
- a < b
- b - a equals to the minimum absolute difference of any two elements in arr
Example 1:
Input: arr = 4,2,1,3
Output: \[1,2,2,3,3,4]
Explanation: The minimum absolute difference is 1. List all pairs with difference equal to 1 in ascending order.
Example 2:
Input: arr = 1,3,6,10,15
Output: \[1,3]
Example 3:
Input: arr = 3,8,-10,23,19,-4,-14,27
Output: \[-14,-10,19,23,23,27]
Constraints:
- 2 < = a r r . l e n g t h < = 10 5 2 <= arr.length <= 10^5 2<=arr.length<=105
- − 10 6 < = a r r i < = 10 6 -10^6 <= arri <= 10^6 −106<=arri<=106
From: LeetCode
Link: 1200. Minimum Absolute Difference
Solution:
Ideas:
Sort first, then only compare neighboring numbers.
Code:
c
#include <stdlib.h>
int cmpInt(const void* a, const void* b) {
int x = *(int*)a;
int y = *(int*)b;
return (x > y) - (x < y);
}
/**
* Return an array of arrays of size *returnSize.
* The sizes of the arrays are returned as *returnColumnSizes array.
* Note: Both returned array and *columnSizes array must be malloced, assume caller calls free().
*/
int** minimumAbsDifference(int* arr, int arrSize, int* returnSize, int** returnColumnSizes) {
qsort(arr, arrSize, sizeof(int), cmpInt);
int minDiff = arr[1] - arr[0];
for (int i = 1; i < arrSize - 1; i++) {
int diff = arr[i + 1] - arr[i];
if (diff < minDiff) {
minDiff = diff;
}
}
int count = 0;
for (int i = 0; i < arrSize - 1; i++) {
if (arr[i + 1] - arr[i] == minDiff) {
count++;
}
}
int** result = (int**)malloc(sizeof(int*) * count);
*returnColumnSizes = (int*)malloc(sizeof(int) * count);
*returnSize = count;
int idx = 0;
for (int i = 0; i < arrSize - 1; i++) {
if (arr[i + 1] - arr[i] == minDiff) {
result[idx] = (int*)malloc(sizeof(int) * 2);
result[idx][0] = arr[i];
result[idx][1] = arr[i + 1];
(*returnColumnSizes)[idx] = 2;
idx++;
}
}
return result;
}