138

Street Numbers
Type: Number Theory  
Diff: 5.0

Tricks

When I read this problem, I could not be able to find out what this problem meant. Then I visit the Steven Halim's Websites and found the following information.

�This problem is actually simple. What the problem wants us to do is:

1,2,3,4,5,6,7,8
Your house number = 6
When you walk to the left to the end of the street (always until you encounter 1 - The leftmost house), you sum their numbers�. 5 + 4 + 3 + 2 + 1 = 15. Then you walk to the right and do the same thing, 7+8=15
You found out that both values are the same. Output 6 (Your house number), and 8 (The rightmost house number matching this criteria)

To do this, calculate "Sum of left" and "Sum of right", using Arithmetic Progression formula
Then use precalc (Pre Calculation)
�

For more details visit http://www.comp.nus.edu.sg/~stevenha/programming/acmoj.html

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