A robot starts on a point marked "A" on a rectangular grid of points. The starting point is always the top left point on the grid. The robot can move left, right, up or down, moving from one point to the next. By moving in steps going left, right, up or down, the robot would like to reach a point marked "B", which is always the bottom right point in the grid. Sometimes, points are marked as "x", and the robot is not allowed to visit them at all. A robot is never allowed to visit a point more than once.

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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Data structures and algorithms problem

A robot starts on a point marked "A" on a rectangular grid of points. The starting
point is always the top left point on the grid. The robot can move left, right, up or
down, moving from one point to the next. By moving in steps going left, right, up
or down, the robot would like to reach a point marked “B”, which is always the
bottom right point in the grid.
Sometimes, points are marked as "x", and the robot is not allowed to visit them
at all. A robot is never allowed to visit a point more than once.
In how many ways can the robot move from A to B and visit all points along
the way?
For example, in the following grid, represented in text as
A
B
there is only one path from A to B:
A
B
Transcribed Image Text:A robot starts on a point marked "A" on a rectangular grid of points. The starting point is always the top left point on the grid. The robot can move left, right, up or down, moving from one point to the next. By moving in steps going left, right, up or down, the robot would like to reach a point marked “B”, which is always the bottom right point in the grid. Sometimes, points are marked as "x", and the robot is not allowed to visit them at all. A robot is never allowed to visit a point more than once. In how many ways can the robot move from A to B and visit all points along the way? For example, in the following grid, represented in text as A B there is only one path from A to B: A B
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