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1 2 3 3 6 2 3 Example Output 3 7

1 2 3 3 6 2 3 Example Output 3 7

Database System Concepts
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
Problem 1PE
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Example Input
1
2 3
3 6
2 3
Example Output
3
7

In this problem, we are working with binary strings with length K. A binary string contains only characters '0' and '1'. The bitwise XOR of two such strings X and Y (denoted by X OY) is also a binary string with length K. You have a sequence A of binary strings, indexed from 1. Initially, it is empty. You should process Q queries. In each query: • You are given two integers L and R (0 < L < R< 2* ). For each i ( L<i< R), consider the string which is the binary representation of i, possibly padded with leading zeros so its length is exactly K; append this string to A. In total, you should append (R – L+1) strings to A in this query. • Then, compute the number of pairs (i, j) (1 < i < j <|A|) such that (A¡ Ð A;) is a palindrome. Since this number can be very large, compute it modulo 998, 244, 353.
Transcribed Image Text:In this problem, we are working with binary strings with length K. A binary string contains only characters '0' and '1'. The bitwise XOR of two such strings X and Y (denoted by X OY) is also a binary string with length K. You have a sequence A of binary strings, indexed from 1. Initially, it is empty. You should process Q queries. In each query: • You are given two integers L and R (0 < L < R< 2* ). For each i ( L<i< R), consider the string which is the binary representation of i, possibly padded with leading zeros so its length is exactly K; append this string to A. In total, you should append (R – L+1) strings to A in this query. • Then, compute the number of pairs (i, j) (1 < i < j <|A|) such that (A¡ Ð A;) is a palindrome. Since this number can be very large, compute it modulo 998, 244, 353.
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