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Formatted question description: https://leetcode.ca/all/1708.html

# 1708. Largest Subarray Length K

Easy

## Description

An array A is larger than some array B if for the first index i where A[i] != B[i], A[i] > B[i].

For example, consider 0-indexing:

• [1,3,2,4] > [1,2,2,4], since at index 1, 3 > 2.
• [1,4,4,4] < [2,1,1,1], since at index 0, 1 < 2.

A subarray is a contiguous subsequence of the array.

Given an integer array nums of distinct integers, return the largest subarray of nums of length k.

Example 1:

Input: nums = [1,4,5,2,3], k = 3

Output: [5,2,3]

Explanation: The subarrays of size 3 are: [1,4,5], [4,5,2], and [5,2,3]. Of these, [5,2,3] is the largest.

Example 2:

Input: nums = [1,4,5,2,3], k = 4

Output: [4,5,2,3]

Explanation: The subarrays of size 4 are: [1,4,5,2], and [4,5,2,3]. Of these, [4,5,2,3] is the largest.

Example 3:

**Input: nums = [1,4,5,2,3], k = 1

Output: 

Constraints:

• 1 <= k <= nums.length <= 10^5
• 1 <= nums[i] <= 10^9
• All the integers of nums are unique.

Follow up: What if the integers in nums are not distinct?

## Solution

Since all the integers in the array are unique, the largest subarray is the subarray that has the largest starting value. Loop over the elements from index 0 to index nums.length - k and find the largest element and the corresponding index. Return the subarray starting from the index.

• class Solution {
public int[] largestSubarray(int[] nums, int k) {
int maxStart = nums.length - k;
int maxNum = nums, maxIndex = 0;
for (int i = 1; i <= maxStart; i++) {
int num = nums[i];
if (num > maxNum) {
maxNum = num;
maxIndex = i;
}
}
int[] subarray = new int[k];
System.arraycopy(nums, maxIndex, subarray, 0, k);
return subarray;
}
}

• // OJ: https://leetcode.com/problems/largest-subarray-length-k/
// Time: O(N)
// Space: O(1) extra space
class Solution {
public:
vector<int> largestSubarray(vector<int>& A, int k) {
auto it = max_element(begin(A), end(A) - k + 1);
return vector<int>(it, it + k);
}
};

• class Solution:
def largestSubarray(self, nums: List[int], k: int) -> List[int]:
mx = max(nums[: len(nums) - k + 1])
i = nums.index(mx)
return nums[i : i + k]