Problem 3. Given an array A[1 : n] of n positive integers (possibly with repetitions), your goal is to find whether there is a sub-array A[l : r] such that = n. i=l Example. Given A = up to n = 10. On the other hand, if the input array is A = [3, 2, 6, 8, 20, 2, 4] for n = 7, the answer is No since no sub-array of A adds up to n = 7. [13, 1, 2, 3, 4, 7, 2, 3, 8, 9] for n = 10, the answer is Yes since elements in A[2 : 5] add Hint: Observe that if - A[i] = n, then A[i] = E=1 A[i] – n; this may come handy!

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Question: Design an algorithm for this problem with worst-case runtime of O(n).

Problem 3. Given an array A[1 : n] of n positive integers (possibly with repetitions), your goal is to find
whether there is a sub-array A[l : r] such that
EAli) = n.
i=l
Example. Given A =
up to n = 10. On the other hand, if the input array is A = [3, 2, 6, 8, 20, 2, 4| for n = 7, the answer is No
since no sub-array of A adds up to n = 7.
[13, 1, 2, 3, 4, 7, 2, 3, 8,9] for n = 10, the answer is Yes since elements in A[2 : 5] add
Hint: Observe that if - A[i] = n, then A[i] = E-1 A[i] -
- n; this may come handy!
Transcribed Image Text:Problem 3. Given an array A[1 : n] of n positive integers (possibly with repetitions), your goal is to find whether there is a sub-array A[l : r] such that EAli) = n. i=l Example. Given A = up to n = 10. On the other hand, if the input array is A = [3, 2, 6, 8, 20, 2, 4| for n = 7, the answer is No since no sub-array of A adds up to n = 7. [13, 1, 2, 3, 4, 7, 2, 3, 8,9] for n = 10, the answer is Yes since elements in A[2 : 5] add Hint: Observe that if - A[i] = n, then A[i] = E-1 A[i] - - n; this may come handy!
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