We define the following:A subarray of an -element array is an array composed from a contiguous block of the original array's elements. For example, if , then the subarrays are , , , , , and . Something like would not be a subarray as it's not a contiguous subsection of the original array.The sum of an array is the total sum of its elements.An array's sum is negative if the total sum of its elements is negative.An array's sum is positive if the total sum of its elements is positive.Given an array of integers, find and print its number of negative subarrays on a new line.Input FormatThe first line contains a single integer, , denoting the length of array .The second line contains space-separated integers describing each respective element, , in array .ConstraintsOutput FormatPrint the number of subarrays of having negative sums.Sample Input51 -2 4 -5 1Sample Output9
Question
We define the following:A subarray of an -element array is an array composed from a contiguous block of the original array's elements. For example, if , then the subarrays are , , , , , and . Something like would not be a subarray as it's not a contiguous subsection of the original array.The sum of an array is the total sum of its elements.An array's sum is negative if the total sum of its elements is negative.An array's sum is positive if the total sum of its elements is positive.Given an array of integers, find and print its number of negative subarrays on a new line.Input FormatThe first line contains a single integer, , denoting the length of array .The second line contains space-separated integers describing each respective element, , in array .ConstraintsOutput FormatPrint the number of subarrays of having negative sums.Sample Input51 -2 4 -5 1Sample Output9
Solution
The problem is asking to find the number of subarrays that have a negative sum.
Here is a step-by-step solution in Python:
- First, we need to get the input from the user. The first line of input is the length of the array, and the second line contains the elements of the array.
n = int(input().strip())
arr = list(map(int, input().strip().split()))
- Initialize a counter to keep track of the number of negative subarrays.
negative_subarrays = 0
- Use a nested loop to generate all possible subarrays of the given array. The outer loop starts from the first element and the inner loop varies from the current element of the outer loop to the last element.
for i in range(n):
for j in range(i, n):
- Calculate the
Similar Questions
Write an efficient C program to find the sum of contiguous subarray within a one-dimensionalarray of integer which returns the largest sum.Explanation:Lets take the example of array {5,-3, 4}Possible contiguous subarray combinations are{5}, {-3}, {4}, {5,-3}, {-3,4}, {5,-3,4}The contiguous subarray {5,-3,4} has got the largest sum 6
Given an integer array arr, write a program to find the subarray which has the largest sum and return its sum. If the array is empty, return 0.Sample Input:9-2 -1 -3 4 -1 2 1 -5 4Sample Output: 6Explanation:The subarray is [4, -1, 2, 1] and the sum is 6
Given an array 𝐴A of size 𝑁N, find the size of the largest subarray of 𝐴A which has an even sum.For example, for the array [2,1,2][2,1,2] the answer is just 11 as the largest subarray with an even sum is [2][2].Note that a subarray is a contiguous part of an array. For the array [1,3,2][1,3,2], some possible subarrays are [1],[2],[1,3],[1,3,2][1],[2],[1,3],[1,3,2]. However, [1,2][1,2] is not a subarray for this array.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of multiple lines of input.The first line of each test case contains a single integer 𝑁N — the size of the array.The next line contains 𝑁N space-separated integer - 𝐴1,𝐴2,…,𝐴𝑁A 1 ,A 2 ,…,A N .Output FormatFor each test case, output on a new line, the size of the largest subarray with even sum.Constraints1≤𝑇≤501≤T≤501≤𝑁≤501≤N≤501≤𝐴𝑖≤1041≤A i ≤10 4 Sample 1:InputOutput432 1 231 3 262 2 1 1 1 2111340Explanation:Test case 11: The largest subarray with even sum is the subarray [2][2] having size 11.Test case 22: The largest subarray with even sum is the subarray [1,3,2][1,3,2] having size 33.Test case 33: The largest subarray with even sum is the subarray [2,2,1,1][2,2,1,1] having size 44.Test case 44: No subarray has even sum.
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Given an array A of N integers and an integer K, write a program to print the number of subarrays in A whose sum is divisible by K.
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