add output for max_sub_array algorithm

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Vitor Oliveira 2021-09-03 12:37:05 -07:00 committed by GitHub
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#Given an integer array nums, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.
#A subarray is a contiguous part of an array.
# Given an integer array nums, find the contiguous subarray (containing at least one number) which has the largest sum and return its sum.
# A subarray is a contiguous part of an array.
#Example 1:
#Input: nums = [-2,1,-3,4,-1,2,1,-5,4]
#Output: 6
#Explanation: [4,-1,2,1] has the largest sum = 6.
# Example 1:
# Input: nums = [-2,1,-3,4,-1,2,1,-5,4]
# Output: 6
# Explanation: [4,-1,2,1] has the largest sum = 6.
#Example 2:
#Input: nums = [1]
#Output: 1
# Example 2:
# Input: nums = [1]
# Output: 1
#Example 3:
#Input: nums = [5,4,-1,7,8]
#Output: 23
# Example 3:
# Input: nums = [5,4,-1,7,8]
# Output: 23
#Constraints:
#1 <= nums.length <= 3 * 104
#-105 <= nums[i] <= 105
#Dynamic Programming Approach (Kadane's Algorithm) - O(n) Time / O(1) Space
#Init max_sum as first element
#Return first element if the array length is 1
#Init current_sum as 0
#Iterate through the array:
#if current_sum < 0, then reset it to 0 (to eliminate any negative prefixes)
#current_sum += num
#max_sum = current_sum if current_sum is greater than max_sum
#Return max_sum
# Constraints:
# 1 <= nums.length <= 3 * 104
# -105 <= nums[i] <= 105
# Dynamic Programming Approach (Kadane's Algorithm) - O(n) Time / O(1) Space
#
# Init max_sum as first element
# Return first element if the array length is 1
# Init current_sum as 0
# Iterate through the array:
# if current_sum < 0, then reset it to 0 (to eliminate any negative prefixes)
# current_sum += num
# max_sum = current_sum if current_sum is greater than max_sum
# Return max_sum
# @param {Integer[]} nums
# @return {Integer}
def max_sub_array(nums)
#initialize max sum to first number
max_sum = nums[0]
#return first number if array length is 1
return max_sum if nums.length == 1
#init current sum to 0
current_sum = 0
#iterate through array, reset current_sum to 0 if it ever goes below 0, track max_sum with highest current_sum
nums.each do |num|
current_sum = 0 if current_sum < 0
current_sum += num
max_sum = [max_sum, current_sum].max
end
#return answer
max_sum
# initialize max sum to first number
max_sum = nums[0]
# return first number if array length is 1
return max_sum if nums.length == 1
# init current sum to 0
current_sum = 0
# iterate through array, reset current_sum to 0 if it ever goes below 0, track max_sum with highest current_sum
nums.each do |num|
current_sum = 0 if current_sum < 0
current_sum += num
max_sum = [max_sum, current_sum].max
end
max_sum
end
nums = [-2, 1, -3, 4, -1, 2, 1, -5, 4]
print max_sub_array(nums)
# Output: 6
nums = [1]
print max_sub_array(nums)
# Output: 1
nums = [5, 4, -1, 7, 8]
print max_sub_array(nums)
# Output: 23