Overview
The objective is to find the maximum subarray in a given input array. The subarray should be contiguous and should contain at least one element
For example
Input: [4, 5 ,-3]
Maximum Subarray is [4, 5]
Output: 9
Another example
Input: [1, 2, -4, 4, 1]
Maximum Subarray is [4, 1]
Output: 5
We use the Kadane algorithm here. In the Kadane algorithm, we keep two variables max and currentMax
- max is initialized to IntMin and currentMax is initialized to zero
- Then we Loop for each element in the array
- Set currentMax = currentMax + a[i]
- If currentMax > max then max is set to currentMax
- if currentMax is less than zero then currentMax is reset to zero
Program
Here is the program for the same
package main
import "fmt"
const (
UintSize = 32 << (^uint(0) >> 32 & 1)
MaxInt = 1<<(UintSize-1) - 1 // 1<<31 - 1 or 1<<63 - 1
MinInt = -MaxInt - 1
)
func main() {
input := []int{4, 5, -3}
output := maxSubArray(input)
fmt.Println(output)
input = []int{1, 2, -4, 4, 1}
output = maxSubArray(input)
fmt.Println(output)
}
func maxSubArray(nums []int) int {
lenNums := len(nums)
currentMax := 0
max := MinInt
for i := 0; i < lenNums; i++ {
currentMax = currentMax + nums[i]
if currentMax > max {
max = currentMax
}
if currentMax < 0 {
currentMax = 0
}
}
return max
}
Output
9
5
Note: Check out our Golang Advanced Tutorial. The tutorials in this series are elaborative and we have tried to cover all concepts with examples. This tutorial is for those who are looking to gain expertise and a solid understanding of golang - Golang Advance Tutorial
Also if you are interested in understanding how all design patterns can be implemented in Golang. If yes, then this post is for you -All Design Patterns Golang