Canadian Computing Competition: 2004 Stage 1, Junior #1
Gigi likes to play with squares. She has a collection of equal-sized square tiles. Gigi wants to arrange some or all of her tiles on a table to form a solid square. What is the side length of the largest possible square that Gigi can build?
For example, when Gigi has 9 tiles she can use them all to build a square whose side length is 3. But when she has only 8 tiles, the largest square that she can build has side length 2.
Write a program that inputs the number of tiles and then prints out the maximum side length. You may assume that the number of tiles is less than ten thousand.
Sample Input 1
Sample Output 1
The largest square has side length 3.
Sample Input 2
Sample Output 2
The largest square has side length 2.
Sample Input 3
Sample Output 3
The largest square has side length 86.