Consider the problem of solving two 8-puzzles.

a. Give a complete problem formulation.

b. How large is the reachable state space? Give an exact numerical expression.

c. Suppose we make the problem adversarial as follows: the two players take turns moving; a coin is flipped to determine the puzzle on which to make a move in that turn; and the winner is the first to solve one puzzle. Which algorithm can be used to choose a move in this setting?

d. Give an informal proof that someone will eventually win if both play perfectly.

Write a program in plp assembly that counts up by one starting from zero (or one) inside a loop and writes this value to the leds every time the value is increased. the memory address of the leds is 0xf0200000. the table below shows the meaning and an example usage of the instructions covered in the video, plp instructions for project 1. instruction example usage meaning load immediate li $t0, 8 register $t0 is set to the value, 8. store word sw $t2, 0($t1) the value in register $t1 is used as the memory address. the value in register $t2 is copied into this memory address. add addiu $t4, $t3, 29 register $t4 is assigned the sum of 29 and the value in register $t3. jump j your_label_name the program jumps to the line following the label, "your_label_name: ". label your label name: defines a label called "your_label_name: " that can be jumped to