MathDB

The vigilantes are a group of five superheroes, such that each one has one and only one of the following powers: hypnosis, super speed, shadow manipulation, immortality and super strength (each has a different power). On an adventure to the island of Philippines, they meet the sorcerer Vicencio, an old wise man who offers them the following ritual to help them: The ritual consists of a superhero

A

acquiring the gift (s) of

B

without

B

acquiring the gift (s) of

A

.
Determine the fewest number of rituals to be performed by the sorcerer Vicencio so that each superhero controls each of the five gifts.
Clarification: At the end of the ritual, a superhero

A

will have his gifts and those of a superhero

B

, but

B

does not acquire those of

A

, but it does keep its own.

Problem Statement