consolidate z is delivered from an arrangement a by the accompanying principles:    assuming ai=0, eliminate a letter from the start of x and attach it to the furthest limit of z;    assuming ai=1, eliminate a letter from the start of y and attach it to the furthest limit of z.

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
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Correct answer will be upvoted else downvoted. Computer science.

 

 consolidate z is delivered from an arrangement a by the accompanying principles: 

 

assuming ai=0, eliminate a letter from the start of x and attach it to the furthest limit of z; 

 

assuming ai=1, eliminate a letter from the start of y and attach it to the furthest limit of z. 

 

Two consolidating successions an and b are unique in case there is some position I to such an extent that ai≠bi. 

 

How about we call a string z tumultuous if for all I from 2 to |z| zi−1≠zi. 

 

Let s[l,r] for some 1≤l≤r≤|s| be a substring of continuous letters of s, beginning from position l and finishing at position r comprehensive. 

 

Let f(l1,r1,l2,r2) be the number of various consolidating successions of x[l1,r1] and y[l2,r2] that produce tumultuous unions. Note that main non-void substrings of x and y are thought of. 

 

Compute ∑1≤l1≤r1≤|x|1≤l2≤r2≤|y|f(l1,r1,l2,r2). Output the appropriate response modulo 998244353. 

 

Input 

 

The main line contains a string x (1≤|x|≤1000). 

 

The subsequent line contains a string y (1≤|y|≤1000). 

 

The two strings comprise just of lowercase Latin letters. 

 

Output 

 

Print a solitary integer — the amount of f(l1,r1,l2,r2) over 1≤l1≤r1≤|x| and 1≤l2≤r2≤|y| modulo 998244353.

 

 

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