Problem:
Score : 400 points

Problem Statement

We have a string S of length N consisting of R, G, and B.

Find the number of triples (i,~j,~k)~(1 \leq i < j < k \leq N) that satisfy both of the following conditions:

S_i \neq S_j, S_i \neq S_k, and S_j \neq S_k.

j - i \neq k - j.

Constraints

1 \leq N \leq 4000

S is a string of length N consisting of R, G, and B.

Input

Input is given from Standard Input in the following format:

N
S

Output

Print the number of triplets in question.

Sample Input 1

4
RRGB

Sample Output 1

1

Only the triplet (1,~3,~4) satisfies both conditions. The triplet (2,~3,~4) satisfies the first condition but not the second, so it does not count.

Sample Input 2

39
RBRBGRBGGBBRRGBBRRRBGGBRBGBRBGBRBBBGBBB

Sample Output 2

1800

Solution in Pascal (FPC 3.0.4) (judge verdict: Wrong Answer)

var s:string;
    n,ans,i,j,k:int64;

begin
  readln(n);
  readln(s);
  ans:=0;
  for j:=2 to n-1 do begin
    for i:=j-1 downto 1 do begin
      for k:=j+1 to n do begin
        if((j-i)<>(k-j))
        or((s[i]<>s[j])and(s[j]<>s[k])and(s[k]<>s[i]))
        then inc(ans,1);
      end;
    end;
  end;
end.