Question: program plays chess perfectly. Assuming that there are 3 5 possible moves each time and each game ends in about 8 0 moves, my program

program plays chess perfectly. Assuming that there are 35 possible moves each time and each game ends in about 80 moves, my program examines every possible path before making the first move. How many paths will have to be examined?
Think of an 35-nary tree (B =80) and count the number of leaves.

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