Given a sorted array, two integersk
andx
, find thek
closest elements tox
in the array. The result should also be sorted in ascending order. If there is a tie, the smaller elements are always preferred.
Example 1:
Input:
[1,2,3,4,5], k=4, x=3
Output:
[1,2,3,4]
Example 2:
Input:
[1,2,3,4,5], k=4, x=-1
Output:
[1,2,3,4]
Note:
class Solution {
public List<Integer> findClosestElements(int[] arr, int k, int x) {
List<Integer> ans = new ArrayList<>();
if (arr == null || k > arr.length) return ans;
int n = arr.length;
int[] diffs = new int[n];
int minDiff = Integer.MAX_VALUE, minIndex = -1;
for (int i = 0; i < n; i++){
diffs[i] = Math.abs(arr[i] - x);
if (diffs[i] < minDiff){
minDiff = diffs[i];
minIndex = i;
}
}
ans.add(arr[minIndex]);
k--;
System.out.println("minDiff: " + minDiff + " minIndex: " + minIndex);
int left = minIndex, right = minIndex;
while (k > 0){
int leftEdge = left - 1 >= 0 ? diffs[left - 1] : Integer.MAX_VALUE;
int rightEdge = right + 1 < n ? diffs[right + 1] : Integer.MAX_VALUE;
if (leftEdge == rightEdge){
ans.add(arr[left - 1]);
left = left - 1;
k--;
}
else if (leftEdge < rightEdge){
ans.add(arr[left - 1]);
left = left - 1;
k--;
}
else{
ans.add(arr[right + 1]);
right = right + 1;
k--;
}
}
Collections.sort(ans);
return ans;
}
}
public List<Integer> findClosestElements(List<Integer> arr, int k, int x) {
Collections.sort(arr, (a,b) -> a == b ? a - b : Math.abs(a-x) - Math.abs(b-x));
arr = arr.subList(0, k);
Collections.sort(arr);
return arr;
}
public class Solution {
public List<Integer> findClosestElements(List<Integer> arr, int k, int x) {
int n = arr.size();
if (x <= arr.get(0)) {
return arr.subList(0, k);
} else if (arr.get(n - 1) <= x) {
return arr.subList(n - k, n);
} else {
int index = Collections.binarySearch(arr, x);
if (index < 0)
index = -index - 1;
int low = Math.max(0, index - k - 1), high = Math.min(arr.size() - 1, index + k - 1);
while (high - low > k - 1) {
if (low < 0 || (x - arr.get(low)) <= (arr.get(high) - x))
high--;
else if (high > arr.size() - 1 || (x - arr.get(low)) > (arr.get(high) - x))
low++;
else
System.out.println("unhandled case: " + low + " " + high);
}
return arr.subList(low, high + 1);
}
}
}