prefixsumsWe have an array A of N integers. We also have Q queries, with each query consisting of two numbers, l and r.Your solution should output the sum of numbers from A[l] to A[r] (1-indexed).Constraints:1 ≤ N, Q, A[i] ≤ 1e6 for 1 ≤ i ≤ NInput:First line: N and Q, the size of the array A and the number of queries respectively.Subsequent line, N integers, the array A.Subsequent Q lines, 2 integers each, l and r.Output:For each testcase, output the answer.Sample Input:13 1111 3 14 12 14 1 8 9 1 1 5 14 41 116 81 24 116 137 101 910 136 133 73 10Sample Output:7918145143197324434960

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Solution

Here is a Python solution for the problem:

def prefixsums():
    N, Q = map(int, input().split())
    A = list(map(int, input().split()))
    prefix_sum = [0]*(N+1)
    for i in range(1, N+1):
        prefix_sum[i] = prefix_sum[i-1] + A[i-1]
    for _ in range(Q):
        l, r = map(int, input().split())
        print(prefix_sum[r] - prefix_sum[l-1])

prefixsums()

This solution works by first reading the size of the array N and the number of queries Q. Then it reads the array A. It then calculates a prefix sum array, where

This problem has been solved

Similar Questions

Consider an array of integers. A prefix sum array is a new array where the element at index `i` represents the sum of all elements from the original array up to index `i`. For a given array `arr` of size `n`, the prefix sum array is denoted as `prefixSum`, where `prefixSum[i] = arr[0] + arr[1] + ... + arr[i]`.Write a C++ program that calculates the prefix sum array for a given array and efficiently computes the sum of elements from index `l` to `r` in O(1) time using the prefix sum array.

Given an array (1-based index) with the following elements:Array=[2,12,4,1,15,21,11,7,1,45,18,22,25]You have to perform two types of operations:Query in the form of Q(L, R): You will be given two integers L and R (1 <= L <= R <= 13). You have to find the summation of values within the index L to R inclusive using Segment Tree.For example Q(2,4) = 12+4+1 = 17Now answer the following questions: i) Tabulate the sparse table ii) Perform Query Q(3,10) iii) Perform Query Q(2,12)

You are given an array nums consisting of integers. You are also given a 2D array queries, where queries[i] = [posi, xi].For query i, we first set nums[posi] equal to xi, then we calculate the answer to query i which is the maximum sum of a subsequence of nums where no two adjacent elements are selected.Return the sum of the answers to all queries.Since the final answer may be very large, return it modulo 109 + 7.A subsequence is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements. Example 1:Input: nums = [3,5,9], queries = [[1,-2],[0,-3]]Output: 21Explanation:After the 1st query, nums = [3,-2,9] and the maximum sum of a subsequence with non-adjacent elements is 3 + 9 = 12.After the 2nd query, nums = [-3,-2,9] and the maximum sum of a subsequence with non-adjacent elements is 9.Example 2:Input: nums = [0,-1], queries = [[0,-5]]Output: 0Explanation:After the 1st query, nums = [-5,-1] and the maximum sum of a subsequence with non-adjacent elements is 0 (choosing an empty subsequence). Constraints:1 <= nums.length <= 5 * 104-105 <= nums[i] <= 1051 <= queries.length <= 5 * 104queries[i] == [posi, xi]0 <= posi <= nums.length - 1-105 <= xi <= 105

We use the integers , , and to create the following series:You are given queries in the form of , , and . For each query, print the series corresponding to the given , , and values as a single line of space-separated integers.Input FormatThe first line contains an integer, , denoting the number of queries.Each line of the subsequent lines contains three space-separated integers describing the respective , , and values for that query.ConstraintsOutput FormatFor each query, print the corresponding series on a new line. Each series must be printed in order as a single line of space-separated integers.Sample Input20 2 105 3 5Sample Output2 6 14 30 62 126 254 510 1022 20468 14 26 50 98ExplanationWe have two queries:We use , , and to produce some series :... and so on.Once we hit , we print the first ten terms as a single line of space-separated integers.We use , , and to produce some series :We then print each element of our series as a single line of space-separated values.

Problem statementSend feedbackYou are given an array ‘A’ of length ‘N’. You say an index ‘i’ is beautiful if the sum of the first ‘i - 1’ elements of the array ‘A’ equals the sum of the last ‘N - i’ elements of the array ‘A’, where ‘i’ is in 1-based indexing. Now you wonder which is the leftmost beautiful index.Note: If you select the first index, then the sum of the prefix will be ‘0’, and if you select the last index, then the sum of the suffix will be ‘0’.Note: You have to print the index in 1-based indexing.For example:Let’s say the array ‘A’ = [1, 3, 1, 5], then if we select index ‘2’, the sum of the prefix is ‘1’, and the sum of the suffix is 1 + 5 = 6. Since the sum is not the same, hence index ‘2’ is not a beautiful index.Detailed explanation ( Input/output format, Notes, Images )Constraints -1 <= ‘T’ <= 101 <= ‘N’ <= 10^5 -10^9 <= A[i] <= 10^9, for 1 <= i <= ‘N’Note- Sum of ‘N’ over all test cases does not exceed 10^5.Time Limit: 1 secSample Input-1231 1 131 2 3Sample Output-12-1Explanation for Sample Input 1:For test case 1: Index ‘2’ is the leftmost beautiful index. The left sum is 1 and the right sum is also 1.For test case 2: No index is beautiful.Sample Input -2261 7 3 6 5 632 1 -1Sample Output -241

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