Consider the magic triangle of 6 numbers, in which the numbers from 1 to 6 must be placed in the six positions indicated in the following figure, in such a way that all the sides of the triangle add up to 10.

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Consider the magic triangle of 6 numbers, in
which the numbers from 1 to 6 must be
placed in the six positions indicated in the
following figure, in such a way that all the
sides of the triangle add up to 10.
In order to solve the magic triangle problem,
we want to use uninformed search
algorithms. To do this, it is considered that it
starts with an empty triangle, and the six
numbers are placed one by one, starting with
1, until all 6 spaces are filled. That is,
selecting the space for number 1 proceeds to
select the space for number 2 among the
remaining five circles, and so on. If when you
finish placing the 6 numbers you have a
triangle where its three sides add up to 10,
you have a valid solution.
You need to describe the problem and create
a search tree with at least 4 levels: width
search and depth search. What is the path to
the solution so far in each tree and which
algorith solves is best?
Transcribed Image Text:Consider the magic triangle of 6 numbers, in which the numbers from 1 to 6 must be placed in the six positions indicated in the following figure, in such a way that all the sides of the triangle add up to 10. In order to solve the magic triangle problem, we want to use uninformed search algorithms. To do this, it is considered that it starts with an empty triangle, and the six numbers are placed one by one, starting with 1, until all 6 spaces are filled. That is, selecting the space for number 1 proceeds to select the space for number 2 among the remaining five circles, and so on. If when you finish placing the 6 numbers you have a triangle where its three sides add up to 10, you have a valid solution. You need to describe the problem and create a search tree with at least 4 levels: width search and depth search. What is the path to the solution so far in each tree and which algorith solves is best?
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