Artificial Intelligence: A Modern Approach
Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 7, Problem 20E

a.

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Assertion

  • This disjunction is with 28 disjuncts each one saying that two of the neighbou...

b.

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Assertion

  • Here there will be (nk) disjuncts...

c.

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Agent using Davis-Putman-Logemann-Loveland (DPLL)

  • The resulting number n is taken which is revealed by the game...

d.

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Encoding global constraint

  • To encode global constraint, then there are M nines altogether...

e.

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Conclusions

  • No conclusions are invalidated.
  • This is ...

f.

Explanation of Solution

Configuration

  • There are two possible models...

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Kingdom of Trolls is celebrating their Kingdom Day and one of the activities that is taking place is a game where a player rolls a magic ball down the hill on a path with spikes. As the ball rolls down, it strikes a spike and bursts open to release a number of smaller balls (in our simulated game, the number of smaller balls is a randomly generated integer between 2 and 6, inclusive). As the smaller balls further roll down, when one strikes a spike, that ball and all its sibling balls burst and each generates another set of smaller balls (using the same random number already generated for the first roll). The balls keep rolling downhill and striking spikes and bursting into smaller balls until a golden ball is released by one of the bursts. At this time, the game is over and the player is told how many balls were generated during the last burst (including the golden ball). The game is played by two players at a time and the player who had the lowest number of balls generated on the…
Bomberman lives in a rectangular grid. Each cell in the grid either contains a bomb or nothing at all. Each bomb can be planted in any cell of the grid but once planted, it will detonate after exactly 3 seconds. Once a bomb detonates, it's destroyed — along with anything in its four neighboring cells. This means that if a bomb detonates in cell , any valid cells  and  are cleared. If there is a bomb in a neighboring cell, the neighboring bomb is destroyed without detonating, so there's no chain reaction. Bomberman is immune to bombs, so he can move freely throughout the grid. Here's what he does: Initially, Bomberman arbitrarily plants bombs in some of the cells, the initial state. After one second, Bomberman does nothing. After one more second, Bomberman plants bombs in all cells without bombs, thus filling the whole grid with bombs. No bombs detonate at this point. After one more second, any bombs planted exactly three seconds ago will detonate. Here, Bomberman stands back and…
The game of Chomp is played by two players. In this game, cookies are laid out on a rectangular grid. The cookie in the top-left position is poisoned. The two players take turns making moves; at each move, a player is required to eat a remaining cookie, together with all cookies to the right and/or below (that is all the remaining cookies in the rectangle, in which the first cookie eaten is the top left corner). The loser is the player who has no choice but to eat the poisoned cookie. Prove that if the board is square (and bigger than 1 × 1) then the first player has a winning strategy.
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