### Brain Teasers

# Complete the Puzzle

A jigsaw puzzle contains 100 pieces. A move is considered joining together two clusters of pieces, or joining one piece to a cluster.

How many moves does it take to complete the puzzle?

How many moves does it take to complete the puzzle?

### Hint

What actually happens when you make a move?### Answer

99.We can consider that the puzzle starts out in 100 clusters of 1 piece each, and ends as 1 cluster of 100 pieces. Because each move decreases the number of clusters by 1, we will need 99 moves to take the number of clusters down from 100, the initial puzzle, to 1, the finished puzzle.

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