Problem #PRU-65877

Problems Methods Algebraic methods Processes and operations Set theory and logic Theory of algotithms Theory of algorithms (other)

Problem

100 children were each given a bowl with 100 pieces of pasta. However, these children did not want to eat and instead started to play. One of the children started to place one piece of her pasta into other children’s bowls (to whomever she wants). What is the least amount of transfers needed so that everyone has a different number of pieces of pasta in their bowl?