Description
In many computer languages (including e.g, Java) division of positive integers is performed
by truncating the “correct” answer, so that for instance 13 divided by 3 produces
the result 4 (I just can’t bring myself to write 13/3 = 4.) Given a positive integer n let us
say that an integer k is a near factor of n, if there is some 2 ≤ d ≤ n such that n divided
by d produces the result k. For instance, the near factors of 13 are:
1, 2, 3, 4, 6.
The positive integers are going to be divided into two groups, called green and red,
according to the following rules:
• 1 is green.
• A positive integer n 1, n is red if more of its near factors are green than are red.
Otherwise, it is green.
For instance:
n Near factors Type
1 Green
2 1 Red
3 1 Red
4 1, 2 Green
5 1, 2 Green
6 1, 2, 3 Green
7 1, 2, 3 Green
8 1, 2, 4 Red
Task
This task uses the standard input/output format of scenarios separated by blank lines
and possibly comments (see étude 1). A scenario consists of a pair of positive integers, a
and b (separated by a space). The output for a scenario is a string of length b consisting
of the characters R and G representing the types of the integers a, a + 1, through a + b −
1.
You may assume that the largest integer occurring in a scenario will be at most ten
million.
