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In the enchanted realm of the wizarding world, the annual Sly Wizard Tournament is not just a competition—it's a spectacle that brings together the brightest minds from the three greatest schools. This year, the responsibility falls on you to administer the tournament, and what a responsibility it is! But when a dark wizard's forgetting curse clouds your memory, the task becomes even more challenging. How do you declare a winner when you can't even remember the rules you set?
Let's dive into this magical mystery. The tournament had three or more events, each with a clear winner and loser, and a consistent scoring system across all events. Positive integers determined the points, with the first place receiving more than the second, and the second more than the third.
Your scorecard, however, is a disaster. The only clear information is that in the event of Calchemy, Newt-niz won, Leib-ton took second, and Magnificent Marigold's Magical Macademy landed in third place. Not much to go on, but it's a start.
You have three schools with final scores of 22, 9, and 9. How do you decipher this? Since every event was scored the same way, the total points must be a multiple of one event's total. With a sum of 40, you can create a table of possibilities, eliminating options that don't fit the criteria of at least three events and a minimum score of 6.
With only two prospects remaining, you delve deeper into the points each event could have awarded. If first place received 7 points, the teams with 9 points couldn't have won an event, as their total score would exceed 10. This means the team with 22 points would have had to win all four events, which is mathematically impossible. Similarly, if first place got 5 points, the highest possible score with four events would be 20, which doesn't match the scores you have.
This leaves us with one viable option: five events each scored 5, 2, and 1. There's only one way to reach the score of 22: the winner must have finished first four times and second once. The scores of 9 indicate one team won once and lost four times, while the other lost once and took second four times. Based on your note, Marigold's Macademy had the only third-place finish in Calchemy.
Leib-ton's second place in Calchemy means they scored 22 and won the Sly Wizard Tournament. With this evidence, you can declare a winner, keep your job, and prevent a Great Wizarding War. Phew!
So, who won the tournament? The answer lies in the careful analysis of the scores and the application of logic. The Sly Wizard Tournament remains a testament to the power of deduction in a world where magic and mystery intertwine.
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