### Four Sum - Leet Code Solution

Problem Statement Given an array nums of n integers and an integer target, are…

December 23, 2020

You are given an array of integers with size N, and a number K. Find the maximum sum of continuous subarray of size K.

```
Input: [1, 2, 6, 2, 4, 1], k=3
Output: 12
Explanation: Subarray with maximum sum is [6, 2, 4].
```

You need to keep sum of the subarray of size=k all the time, and keep on iterating.

```
public int findMaxSum(int[] arr, int k) {
int max=0;
for (int i=0; i<=arr.length-k; i++) {
int sum_k = 0;
for (int j=i; j<i+k; j++) {
sum_k += arr[j];
}
max = Math.max(max, sum_k);
}
return max;
}
```

There are two loops

- n-k times != n
- k times

Total of *O(n*k)*

If you observe problem and above solution closely,

- you need to keep continuous array
- size should be K

When you first calculate sum of the first window size of K. You already have the sum of previous window. To get the sum of next window. You need to remove first number of previous window, and add next number. So effectively you are using the sum of previous window sum. You need not to go to calculate whole sum again.

```
1 2 3 4 5
First window = 1 2 3, sum=6
For next window, subtract 1 from sum, and add 4 to remaining sum.
Second window = 2 3 4
i.e. 6 - 1 + 4 = 9
```

In this way, we are effectively moving our window from begining to end and we need to keep the max sum available till each window.

Lets look at the code.

```
public int findMaxSum(int[] arr, int k) {
int max = 0;
int left = 0;
int right = 0;
int window_sum = 0;
while (right < arr.length) {
window_sum += arr[right];
if (right >= k) {
max = Math.max(max, window_sum);
//subtract first number of previous widow
window_sum -= arr[left];
//move left pointer to next number
left ++;
}
}
return max;
}
```

We are keeping two pointers for window left and right. On completing the window size, we subtract first number of last window and keep a tab of the max sum available.

We are iterating over array just once.
Its *O(n)*

Problem Statement Given an array nums of n integers and an integer target, are…

This problem is a simple mathematical calculation. Lets start deriving some…

** Inversion There is an array(a) and two indexes i and j. Inversion is the…

This is another very useful sorting algorithm based on Heap data structure. Read…

Counting sort runs on relatively smaller set of input. Counting sort calculates…

Problem Statement Given a non-empty array of digits representing a non-negative…

Introduction Java log4j has many ways to initialize and append the desired…

Introduction You have a running kubernetes setup, and have a webservice (exposed…

Introduction I have my main website, which I run on Lets say: . Now, there is my…

Understanding Simple Message Workflow First, lets understand a simple workflow…

Exponential Backoff in Rabbitmq Please make sure to read first, why we need the…

Introduction This post has the complete code to send email through smtp server…