Balanced Array Pavani gives Ramya an array of integers. Her challenge is to find an element of the array such that the sum of all elements to the left is equal to the sum of all elements to the right. For instance, given the array=[5,6,8,11], 8 is between two subarrays that sums to 11. You will be given arrays of integers and must determine whether there is an element that meets the criterion. Function DescriptionComplete the program that it should return a string, either ‘YES’ if there is an element meeting the criterion or ‘NO’ otherwise. Input FormatThe first line contains T, the number of test cases.The next T pairs of lines each represent a test case.The first line contains n, the number of elements in the array arr.The second line contains n space-separated integers arr[i] where 0<=iConstraints1<=T<=01<=n<=1051<=arr[I]<=1040<= I Output FormatFor each test case print YES if there exists an element in the array, such that the sum of the elements on its left is equal to the sum of the elements on its right; otherwise print NO.
Question
Balanced Array Pavani gives Ramya an array of integers. Her challenge is to find an element of the array such that the sum of all elements to the left is equal to the sum of all elements to the right. For instance, given the array=[5,6,8,11], 8 is between two subarrays that sums to 11. You will be given arrays of integers and must determine whether there is an element that meets the criterion. Function DescriptionComplete the program that it should return a string, either ‘YES’ if there is an element meeting the criterion or ‘NO’ otherwise. Input FormatThe first line contains T, the number of test cases.The next T pairs of lines each represent a test case.The first line contains n, the number of elements in the array arr.The second line contains n space-separated integers arr[i] where 0<=iConstraints1<=T<=01<=n<=1051<=arr[I]<=1040<= I Output FormatFor each test case print YES if there exists an element in the array, such that the sum of the elements on its left is equal to the sum of the elements on its right; otherwise print NO.
Solution 1
Sure, here is a Python solution for the problem:
def balanced_array(arr):
total_sum = sum(arr)
left_sum = 0
for i in range(len(arr)):
total_sum -= arr[i]
if left_sum == total_sum:
return 'YES'
left_sum += arr[i]
return 'NO'
T = int(input())
for _ in range(T):
n = int(input())
arr = list(map(int, input().split()))
print(balanced_array(arr))
This Python function balanced_array takes an array as input and checks if there is an element in the array such that the sum of all elements to the left is equal to the sum of all elements to the right. It does this by iterating over the array and maintaining a running total of the sum of elements to the left and right of the current element. If at any point the sum of elements to the left is equal to the sum of elements to the right, it returns 'YES'. If it iterates over the entire array without finding such an element, it returns 'NO'.
The main part of the program reads the number of test cases T and for each test case, it reads the number of elements n and the elements of the array arr, and then calls the balanced_array function with arr as the argument. It then prints the result returned by the balanced_array function.
Solution 2
The problem is asking to find out if there is an element in the array such that the sum of all elements to the left is equal to the sum of all elements to the right.
Here is a step by step solution:
-
Initialize a variable, say
total_sumto the sum of all elements in the array. This will hold the total sum of the array. -
Initialize another variable, say
left_sumto 0. This will hold the sum of the elements to the left of the
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