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September 15, 2021 05:41
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maxsubarray
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package main | |
import "fmt" | |
/* | |
{ | |
int arr[] = { 2, 3, 4, 5, 7 }; | |
int n = sizeof(arr) / sizeof(arr[0]); | |
int max_sum = maxSubArraySum(arr, 0, n - 1); | |
printf("Maximum contiguous sum is %d\n", max_sum); | |
getchar(); | |
return 0; | |
} | |
*/ | |
// A utility function to find maximum of two integers | |
func max(a, b int) int { | |
if a > b{ | |
return a | |
} | |
return b | |
} | |
// A utility function to find maximum of three integers | |
func max3(a, b, c int )int { return max(max(a, b), c) } | |
func maxcrosssum(arr []int,low,mid,high int)(int){ | |
sum := 0; | |
left_sum := -100000; | |
for i := mid; i >= low; i-- { | |
sum = sum + arr[i] | |
if sum > left_sum{ | |
left_sum = sum | |
} | |
} | |
// Include elements on right of mid | |
sum = 0; | |
right_sum := -1000000; | |
for i := mid + 1; i <= high; i++ { | |
sum = sum + arr[i] | |
if sum > right_sum{ | |
right_sum = sum | |
} | |
} | |
// Return sum of elements on left and right of mid | |
// returning only left_sum + right_sum will fail for | |
// [-2, 1] | |
return max3(left_sum + right_sum, left_sum, right_sum) | |
} | |
func maxsubarray(arr []int,l,h int)int{ | |
// Base Case: Only one element | |
if l == h{ | |
return arr[l] | |
} | |
// Find middle point | |
m := (l + h) / 2; | |
/* Return maximum of following three possible cases | |
a) Maximum subarray sum in left half | |
b) Maximum subarray sum in right half | |
c) Maximum subarray sum such that the subarray | |
crosses the midpoint */ | |
return max3(maxsubarray(arr, l, m), | |
maxsubarray(arr, m + 1, h), | |
maxcrosssum(arr, l, m, h)); | |
} | |
func Onmaxsumarray(a []int)int{ | |
n := len(a) | |
ms := -1000000 | |
msf := 0 | |
for i:=0;i<n;i++{ | |
msf = a[i]+msf | |
if msf > ms{ | |
ms = msf | |
} | |
if msf <0{ | |
msf = 0 | |
} | |
} | |
return ms | |
} | |
func main() { | |
a := []int{-2, -3, 4, -1, -2, 1, 5, -3} | |
fmt.Println(maxsubarray(a[:],0,7)) | |
fmt.Println(Onmaxsumarray(a)) | |
} |
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