// https://atcoder.jp/contests/agc037/tasks/agc037_b
//
#![allow(unused_imports)]
use std::io::*;
use std::io::Write;
use std::fmt::*;
use std::str::*;
use std::cmp::*;
use std::collections::*;

// Input macros.
// Original by tanakh: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
#[allow(unused_macros)]
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

#[allow(unused_macros)]
macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};

    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };

    ($iter:expr, mut $var:ident : $t:tt $($r:tt)*) => {
        let mut $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

#[allow(unused_macros)]
macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };

    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };

    ($iter:expr, [ next / $t:tt ]) => {
        {
            let len = read_value!($iter, usize);
            (0..len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
        }
    };

    ($iter:expr, switch) => {
        {
            let ty = read_value!($iter, i32);
            if ty == 1 {
                vec![ty, read_value!($iter, i32), read_value!($iter, i32)]
            } else if ty == 2 {
                vec![ty, read_value!($iter, i32)]
            } else {
                vec![ty, read_value!($iter, i32)]
            }
        }
    };

    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };

    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };

    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}

#[allow(unused_macros)]
macro_rules! read_line {
    ($t:tt) => {
        {
            let mut s = String::new();
            std::io::stdin().read_line(&mut s).unwrap();
            s.trim_right().parse::<$t>().unwrap()
        }
    }
}

#[allow(unused_macros)]
macro_rules! dvec {
    ($t:expr ; $len:expr) => {
        vec![$t; $len]
    };

    ($t:expr ; $len:expr, $($rest:expr),*) => {
        vec![dvec!($t; $($rest),*); $len]
    };
}

#[allow(unused_macros)]
macro_rules! ifv {
    ($t:expr, $a:expr, $b: expr) => {
        if $t { $a } else { $b }
    }
}

#[allow(unused_macros)]
macro_rules! fill {
    ($t:expr, $v:expr) => {
        for i in 0..$t.len() {
            $t[i] = $v;
        }
    };
}

#[allow(unused_macros)]
macro_rules! join {
    ($t:expr, $glue:expr) => {
        $t.into_iter().map(|w| w.to_string()).collect::<Vec<_>>().join($glue)
    };
}

#[allow(unused_macros)]
macro_rules! debug {
    ($($a:expr),*) => {
        println!(concat!($(stringify!($a), " = {:?}, "),*), $($a),*);
    }
}

// ===

fn tou(c: char) -> usize {
    match c {
        'R' => 1,
        'G' => 2,
        'B' => 3,
        _ => unreachable!("invalid color")
    }
}

const MOD: i64 = 998244353;

fn main() {
    input! {
        n: usize,
        s: chars
    };

    let s = s.into_iter().map(|c| tou(c)).collect::<Vec<_>>();

    let three = vec![
        vec![],
        vec![11, 14],
        vec![7, 13],
        vec![6, 9],
    ];
    let two = vec![
        vec![],
        vec![8, 12],
        vec![4, 12],
        vec![4, 8]
    ];

    let mut ways = 1;
    let mut ord = vec![0; 16];
    ord[0] = n as i64;
    for i in 0..3*n {
        // find 3rd color
        let mut sum = 0;
        let mut idx = 0;
        for &l in &three[s[i]] {
            sum += ord[l];
            if ord[l] >= 1 {
                idx = l;
            }
        }
        if sum >= 1 {
            ways *= sum;
            ways %= MOD;
            ord[idx] -= 1;
            // debug!(3, ways, ord);
            continue;
        }
        // otherwise, find 2nd color
        for &l in &two[s[i]] {
            sum += ord[l];
            if ord[l] >= 1 {
                idx = l;
            }
        }
        if sum >= 1 {
            ways *= sum;
            ways %= MOD;
            ord[idx] -= 1;
            ord[idx+s[i]] += 1;
            // debug!(2, ways, ord);
            continue;
        }
        ways *= ord[0];
        ways %= MOD;
        ord[0] -= 1;
        ord[4*s[i]] += 1;
        // debug!(1, ways, ord);
    }
    println!("{}", ways);
}


Measured memory_bytes: 10492