BARS::290 Miles From Grand Canyon in Alpine, Arizona

This road sign is along westbound US Hwy-180 near Alpine, Arizona.

The road sign says...

   +-----------------------+
   | Petrified Forest  104 |
   | Grand Canyon      290 |
   +-----------------------+

This road sign was turned in a BARS after we created the split_into_squares_sum(n) function during late-April of 2008. The function is used to split a number n into a set of square numbers. Each square number in the set must be greater than or equal to four and the numbers in the set must sum to n.

   the numbers are:  104  290

   split_into_squares_sum(104) = { 100, 4 }
   split_into_squares_sum(290) = { 256, 25, 9 }

   the numbers become:  100  4  256  25  9    [the math is:  see (1)]
   apply square-roots:   10  2   16   5  3    [the math is:  see (2)]
   apply square-roots:   10  2    4   5  3    [the math is:  see (3)]
   apply square-roots:   10  2    2   5  3    [the math is:  see (4)]

   the math is:
      (1)  256 - (4 * 9) - 100 = sqrt(25)!
      (2)  16 * 3 + 2 = 5 * 10
      (3)  10 + 2 = 3 + 4 + 5
      (4)  5! / 10 = 2 * 2 * 3

   [let n = 5! and solve for n]  n / 10 = 2 * 2 * 3

This is BARS #412 and it was the first BARS to use the split_into_squares_sum(n) exclusively for the math.


Creator: Gerald Thurman [gthurman@gmail.com]
Created: 29 April 2008

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This work is licensed under a Creative Commons Attribution 3.0 United States License.