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

`function during late-April of 2008. The function is used to split a number`

split_into_squares_sum(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`.`

nthe 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 * 3This is BARS #412 and it was the first BARS to use the

`exclusively for the math.`

split_into_squares_sum(n)

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 29 April 2008

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