|
| 1 | +## Maximum average subarray |
| 2 | +Given an array Arr of size N and a positive integer K, find the sub-array of length K with the maximum average. [🔗Goto](https://practice.geeksforgeeks.org/problems/maximum-average-subarray5859/1#) |
| 3 | + |
| 4 | +``` |
| 5 | +Example 1: |
| 6 | +
|
| 7 | +Input: |
| 8 | +K = 4, N = 6 |
| 9 | +Arr[] = {1, 12, -5, -6, 50, 3} |
| 10 | +Output: 12 -5 -6 50 |
| 11 | +Explanation: Maximum average is |
| 12 | +(12 - 5 - 6 + 50)/4 = 51/4. |
| 13 | +
|
| 14 | +Example 2: |
| 15 | +
|
| 16 | +Input: |
| 17 | +K = 3, N = 7 |
| 18 | +Arr[] = {3, -435, 335, 10, -50, 100, 20} |
| 19 | +Output: 335 10 -50 |
| 20 | +Explanation: Maximum average is |
| 21 | +(335 + 10 - 50)/3 = 295/3. |
| 22 | +``` |
| 23 | +<details> |
| 24 | +<summary>Full Code</summary> |
| 25 | + |
| 26 | +```java |
| 27 | +import java.io.*; |
| 28 | +import java.util.*; |
| 29 | + |
| 30 | +public class GFG { |
| 31 | + public static void main(String[] args) throws Exception { |
| 32 | + BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); |
| 33 | + int tc = Integer.parseInt(br.readLine().trim()); |
| 34 | + while (tc-- > 0) { |
| 35 | + String[] inputLine; |
| 36 | + inputLine = br.readLine().trim().split(" "); |
| 37 | + int k = Integer.parseInt(inputLine[0]); |
| 38 | + inputLine = br.readLine().trim().split(" "); |
| 39 | + int n = Integer.parseInt(inputLine[0]); |
| 40 | + int[] arr = new int[n]; |
| 41 | + inputLine = br.readLine().trim().split(" "); |
| 42 | + for (int i = 0; i < n; i++) { |
| 43 | + arr[i] = Integer.parseInt(inputLine[i]); |
| 44 | + } |
| 45 | + |
| 46 | + int ans = new Solution().findMaxAverage(arr, n, k); |
| 47 | + for(int i=ans; i<ans+k; i++) |
| 48 | + System.out.print(arr[i]+" "); |
| 49 | + System.out.println(); |
| 50 | + } |
| 51 | + } |
| 52 | +} |
| 53 | +// } Driver Code Ends |
| 54 | + |
| 55 | + |
| 56 | +//User function Template for Java |
| 57 | + |
| 58 | +class Solution { |
| 59 | + int findMaxAverage(int[] arr, int n, int k) { |
| 60 | + if (k > n) return -1; |
| 61 | + |
| 62 | + // Compute sum of first 'k' elements |
| 63 | + int sum = arr[0]; |
| 64 | + for (int i = 1; i < k; i++) |
| 65 | + sum += arr[i]; |
| 66 | + |
| 67 | + int max_sum = sum, max_end = k - 1; |
| 68 | + |
| 69 | + // Compute sum of remaining subarrays |
| 70 | + for (int i = k; i < n; i++) { |
| 71 | + sum = sum + arr[i] - arr[i - k]; |
| 72 | + if (sum > max_sum) { |
| 73 | + max_sum = sum; |
| 74 | + max_end = i; |
| 75 | + } |
| 76 | + } |
| 77 | + // Return starting index |
| 78 | + return max_end - k + 1; |
| 79 | + } |
| 80 | +} |
| 81 | + |
| 82 | +``` |
| 83 | +</details> |
| 84 | + |
| 85 | +```java |
| 86 | +class Solution { |
| 87 | + int findMaxAverage(int[] arr, int n, int k) { |
| 88 | + if (k > n) return -1; |
| 89 | + |
| 90 | + // Compute sum of first 'k' elements |
| 91 | + int sum = arr[0]; |
| 92 | + for (int i = 1; i < k; i++) |
| 93 | + sum += arr[i]; |
| 94 | + |
| 95 | + int max_sum = sum, max_end = k - 1; |
| 96 | + |
| 97 | + // Compute sum of remaining subarrays |
| 98 | + for (int i = k; i < n; i++) { |
| 99 | + sum = sum + arr[i] - arr[i - k]; |
| 100 | + if (sum > max_sum) { |
| 101 | + max_sum = sum; |
| 102 | + max_end = i; |
| 103 | + } |
| 104 | + } |
| 105 | + // Return starting index |
| 106 | + return max_end - k + 1; |
| 107 | + } |
| 108 | +} |
| 109 | +``` |
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