import java.io.*;
import java.util.Arrays;
import java.util.StringJoiner;
import java.util.StringTokenizer;
import java.util.concurrent.atomic.AtomicInteger;

public class Main {

    static int N;
    static String S;

    public static void main(String[] args) {
        FastScanner sc = new FastScanner(System.in);
        N = sc.nextInt();
        S = sc.next();

        System.out.println(solve());
    }

    static int solve() {
        int ans = 1;
        // 特にatomicにしたいわけではなくinc/decできる箱くらいの気持ち
        // ぽいんたないからね...
        AtomicInteger r = new AtomicInteger(), g = new AtomicInteger(), b = new AtomicInteger();
        AtomicInteger rg = new AtomicInteger(), rb = new AtomicInteger(), gb = new AtomicInteger();
        for (int i = 0; i < S.length(); i++) {
            char c = S.charAt(i);
            if( c == 'R' ) {
                ans = calc(r, g, b, rg, rb, gb, ans);

            } else if( c == 'G' ) {
                ans = calc(g, r, b, rg, gb, rb, ans);
                
            } else {
                ans = calc(b, g, r, gb, rb, rg, ans);
            }
        }

        ans = mul(ans, fact(N));
        return ans;
    }

    static int calc(AtomicInteger a, AtomicInteger b, AtomicInteger c, AtomicInteger ab, AtomicInteger ac, AtomicInteger bc, int ans) {
        // くっつくやつがいたらくっつける
        // くっつける対象の自由度分ansを増やす
        if( bc.get() > 0 ) {
            ans = mul(ans, bc.getAndDecrement());

        } else if( b.get() > 0 ) {
            ans = mul(ans, b.getAndDecrement());
            ab.incrementAndGet();

        } else if( c.get() > 0 ) {
            ans = mul(ans, c.getAndDecrement());
            ac.incrementAndGet();

        } else {
            a.incrementAndGet();
        }
        return ans;
    }

    static int MOD = 998244353;

    static int fact(int n) {
        int ret = 1;
        for (int i = 2; i <= n; i++) {
            ret = mul(ret, i);
        }
        return ret;
    }

    static int mul(int a, int b) {
        long c = (long)a * b;
        c %= MOD;
        return (int)c;
    }

    @SuppressWarnings("unused")
    static class FastScanner {
        private BufferedReader reader;
        private StringTokenizer tokenizer;

        FastScanner(InputStream in) {
            reader = new BufferedReader(new InputStreamReader(in));
            tokenizer = null;
        }

        String next() {
            if (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        String nextLine() {
            if (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    return reader.readLine();
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken("\n");
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        int[] nextIntArray(int n) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++) a[i] = nextInt();
            return a;
        }

        int[] nextIntArray(int n, int delta) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++) a[i] = nextInt() + delta;
            return a;
        }

        long[] nextLongArray(int n) {
            long[] a = new long[n];
            for (int i = 0; i < n; i++) a[i] = nextLong();
            return a;
        }
    }

    static void writeLines(int[] as) {
        PrintWriter pw = new PrintWriter(System.out);
        for (int a : as) pw.println(a);
        pw.flush();
    }

    static void writeLines(long[] as) {
        PrintWriter pw = new PrintWriter(System.out);
        for (long a : as) pw.println(a);
        pw.flush();
    }

    static void writeSingleLine(int[] as) {
        PrintWriter pw = new PrintWriter(System.out);
        for (int i = 0; i < as.length; i++) {
            if (i != 0) pw.print(" ");
            pw.print(as[i]);
        }
        pw.println();
        pw.flush();
    }

    static int max(int... as) {
        int max = Integer.MIN_VALUE;
        for (int a : as) max = Math.max(a, max);
        return max;
    }

    static int min(int... as) {
        int min = Integer.MAX_VALUE;
        for (int a : as) min = Math.min(a, min);
        return min;
    }

    static void debug(Object... args) {
        StringJoiner j = new StringJoiner(" ");
        for (Object arg : args) {
            if (arg == null) j.add("null");
            else if (arg instanceof int[]) j.add(Arrays.toString((int[]) arg));
            else if (arg instanceof long[]) j.add(Arrays.toString((long[]) arg));
            else if (arg instanceof double[]) j.add(Arrays.toString((double[]) arg));
            else if (arg instanceof Object[]) j.add(Arrays.toString((Object[]) arg));
            else j.add(arg.toString());
        }
        System.err.println(j.toString());
    }

    static void printSingleLine(int[] array) {
        PrintWriter pw = new PrintWriter(System.out);
        for (int i = 0; i < array.length; i++) {
            if (i != 0) pw.print(" ");
            pw.print(array[i]);
        }
        pw.println();
        pw.flush();
    }

    static int lowerBound(int[] array, int value) {
        int lo = 0, hi = array.length, mid;
        while (lo < hi) {
            mid = (hi + lo) / 2;
            if (array[mid] < value) lo = mid + 1;
            else hi = mid;
        }
        return lo;
    }

    static int upperBound(int[] array, int value) {
        int lo = 0, hi = array.length, mid;
        while (lo < hi) {
            mid = (hi + lo) / 2;
            if (array[mid] <= value) lo = mid + 1;
            else hi = mid;
        }
        return lo;
    }
}


Measured memory_bytes: 27424