Consider a pathfinding agent on the grid below. The agent is in the grid cell A, wanting to go to cell B. It can go up, down, left and right. It cannot step into a shaded grid cell. What is the smallest number of steps the agents needs to take to travel from A to B? How many distinct paths are there with that number of steps? Support your reasoning. Hint: consider the permutations with sets of indistinguishable objects. y=8 y=7 リ=5 y = 4 =2 A B y=1 z=1 z=2 z =3 2=4 z=5 z=6 z= 7 z=8 z=9 リー2

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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Consider a pathfinding agent on the grid below. The agent is in the grid cell A., wanting to go to cell B. It can
go up, down, left and right. It cannot step into a shaded grid cell.
What is the smallest number of steps the agents needs to take to travel from A to B?
How many distinct paths are there with that number of steps? Support your reasoning.
Hint: consider the permutations with sets of indistinguishable objects.
y= 8
y=7
V=6
リ=5
y= 4
y=3
y =2 A
B
y =1
I=1
Z= 2
I= 3
*= 4
I= 5
I= 6
*=7
z = 8
Transcribed Image Text:Consider a pathfinding agent on the grid below. The agent is in the grid cell A., wanting to go to cell B. It can go up, down, left and right. It cannot step into a shaded grid cell. What is the smallest number of steps the agents needs to take to travel from A to B? How many distinct paths are there with that number of steps? Support your reasoning. Hint: consider the permutations with sets of indistinguishable objects. y= 8 y=7 V=6 リ=5 y= 4 y=3 y =2 A B y =1 I=1 Z= 2 I= 3 *= 4 I= 5 I= 6 *=7 z = 8
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