Recommend
 
 Thumb up
 Hide
7 Posts

Tichu» Forums » General

Subject: Tichu Puzzle rss

Your Tags: Add tags
Popular Tags: [View All]
Alex Rockwell
United States
Lynnwood
Washington
flag msg tools
designer
badge
Avatar
mbmbmbmbmb
Here is a Tichu puzzle question:

Other than 0 to 0, what is the only possible Tichu score in which one team's score is the square of the other team's score? It must be a valid Tichu score (so both score must add to a multiple of 100).
 
 Thumb up
 tip
 Hide
  • [+] Dice rolls
Paul Beasi
United States
Easthampton
Massachusetts
flag msg tools
badge
Avatar
mbmbmbmbmb
Spoiler (click to reveal)
-25 to 625
2 
 Thumb up
 tip
 Hide
  • [+] Dice rolls
Berthold Nüchter
Germany
Duisburg
NRW
flag msg tools
I am the walrus
badge
checkpoint
Avatar
mbmbmbmbmb
Spoiler (click to reveal)
-25/625
 
 Thumb up
 tip
 Hide
  • [+] Dice rolls
Mattias Andersson
Sweden
Unspecified
flag msg tools
mbmb
Spoiler (click to reveal)
24 and 576
 
 Thumb up
 tip
 Hide
  • [+] Dice rolls
Curt Carpenter
United States
Kirkland
Washington
flag msg tools
badge
Avatar
mbmbmbmbmb
amattias wrote:
Spoiler (click to reveal)
24 and 576

Tichu scores add up to a multiple of 100, but individual team scores are always multiples of 5.
 
 Thumb up
 tip
 Hide
  • [+] Dice rolls
Alex Rockwell
United States
Lynnwood
Washington
flag msg tools
designer
badge
Avatar
mbmbmbmbmb
Krimi wrote:
x + y = 100 * k
x = y^2


Also x and y are multiples of 5, and they cannot be greater than 1395.


Answer (which was already found in this thread):
Spoiler (click to reveal)

Since x = y^2, and the greatest possible value of x is 1395, then |y| is at most the square root of 1395, which is ~37.35

Since the score must be a multiple of 5, x can be one of these values:
-35, -30, -25, -20, -15, -10, -5, 0, 5, 10, 15, 20, 25, 30, 35

The only values where the number plus its square are equal to an integer multiple of 100 are: (0,0) and (625, -25).
1 
 Thumb up
 tip
 Hide
  • [+] Dice rolls
Front Page | Welcome | Contact | Privacy Policy | Terms of Service | Advertise | Support BGG | Feeds RSS
Geekdo, BoardGameGeek, the Geekdo logo, and the BoardGameGeek logo are trademarks of BoardGameGeek, LLC.