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davilla
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Brain Thumper #2
Three reasonably thin ropes of more than sufficient length are specially made so that they connect seamlessly at the ends. One is red, one white, and one blue. They are floated in a large kiddie pool which is then drained for the following game.
A person picks a location in the pool to start and puts on a pair of clogs. She must walk forward, heel-to-toe, only touching the rope by stepping directly on it so as to cross over. Each time she does this it is called a clog.
Another player at the side of the pool has three standard dice, red, white, and blue. He may toss any die in his hand but cannot pick it up again. When he rolls, the player in the pool must make the number of clogs shown on the die without crossing over rope of a different color. If she cannot, she loses.
For instance, if a 2 is rolled with the white die, she must walk, placing one foot immediately in front of the other, such that the front and back ends of a clog span the white rope on exactly two of her steps. She may, for instance, cross a stretch of white rope, take a few steps to turn around, and cross again. Since she may not cross red or blue rope, in this case she has returned to where she started. If she were to find herself surrounded by only red and blue rope, she would lose.
Additionally, she must reach the side of the pool at the end of the third throw to win. If she does not, the players switch roles, resetting the game.
Suppose you get to go first and your brutally competitive friend rolls. Assuming you're not a klutz, is there a configuration of rope that guarantees a win?
Three reasonably thin ropes of more than sufficient length are specially made so that they connect seamlessly at the ends. One is red, one white, and one blue. They are floated in a large kiddie pool which is then drained for the following game.
A person picks a location in the pool to start and puts on a pair of clogs. She must walk forward, heel-to-toe, only touching the rope by stepping directly on it so as to cross over. Each time she does this it is called a clog.
Another player at the side of the pool has three standard dice, red, white, and blue. He may toss any die in his hand but cannot pick it up again. When he rolls, the player in the pool must make the number of clogs shown on the die without crossing over rope of a different color. If she cannot, she loses.
For instance, if a 2 is rolled with the white die, she must walk, placing one foot immediately in front of the other, such that the front and back ends of a clog span the white rope on exactly two of her steps. She may, for instance, cross a stretch of white rope, take a few steps to turn around, and cross again. Since she may not cross red or blue rope, in this case she has returned to where she started. If she were to find herself surrounded by only red and blue rope, she would lose.
Additionally, she must reach the side of the pool at the end of the third throw to win. If she does not, the players switch roles, resetting the game.
Suppose you get to go first and your brutally competitive friend rolls. Assuming you're not a klutz, is there a configuration of rope that guarantees a win?
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