Ayoub had an array a of integers of size n and this array had two interesting properties: 

  * All the integers in the array were between l and r (inclusive). 
  * The sum of all the elements was divisible by 3. 



Unfortunately, Ayoub has lost his array, but he remembers the size of the array n and the numbers l and r, so he asked you to find the number of ways to restore the array. 

Since the answer could be very large, print it modulo 10^9 + 7 (i.e. the remainder when dividing by 10^9 + 7). In case there are no satisfying arrays (Ayoub has a wrong memory), print 0.

Input

The first and only line contains three integers n, l and r (1 ≤ n ≤ 2 ⋅ 10^5 , 1 ≤ l ≤ r ≤ 10^9) — the size of the lost array and the range of numbers in the array.

Output

Print the remainder when dividing by 10^9 + 7 the number of ways to restore the array.

Examples

Input


2 1 3


Output


3


Input


3 2 2


Output


1


Input


9 9 99


Output


711426616

Note

In the first example, the possible arrays are : [1,2], [2,1], [3, 3].

In the second example, the only possible array is [2, 2, 2].
import java.io.*;
import java.util.*;
import static java.lang.Math.*;

public class Main {
    private static boolean oj = System.getProperty("ONLINE_JUDGE") != null;
    private static Reader in;
    private static PrintWriter out;
    ////////////////////////////////////////////////////////////////////////////////////////////////////
    private static int min(int... a){int min=a[0]; for(int i:a) min=Math.min(min, i); return min;}
    private static int max(int... a){int max=a[0]; for(int i:a) max=Math.max(max, i); return max;}
    private static long min(long... a){long min=a[0]; for(long i:a)min=Math.min(min, i); return min;}
    private static long max(long... a){long max=a[0]; for(long i:a)max=Math.max(max, i); return max;}
    private static String strm(String str, long m) {
        String ans="";
        while(m>0) {
            if(m%2==1) ans=ans.concat(str);
            str=str.concat(str); m>>=1;
        } return ans;
    }
    private static long mod(long a, long mod) {long res = a%mod; return res>=0 ? res : res+mod;}
    private static int mod(int a, int mod) {int res = a%mod; return res>=0 ? res : res+mod;}
    private static long modpow(long x, int n, int mod) {
        long res = 1;
        for (long p = x; n > 0; n >>= 1, p = mod((mod(p, mod)*mod(p, mod)),  mod)) {
            if ((n & 1) != 0) res = mod(mod(res, mod) * mod(p, mod), mod);
        }
        return res;
    }
    private static long gcd(long a, long b) {return b == 0 ? Math.abs(a) : gcd(b, a % b);}
    private static int gcd(int a, int b) {return b == 0 ? Math.abs(a) : gcd(b, a % b);}
    private static long gcd(long... a) {long gcd=a[0]; for(long x:a) gcd=gcd(gcd, x); return gcd;}
    private static int gcd(int... a) {int gcd=a[0]; for(int x:a) gcd=gcd(gcd, x); return gcd;}
    private static long lcm(long a, long b) {return Math.abs(a / gcd(a, b) * b);}
    private static class Pair {
        public int x, y;
        public Pair(int x, int y) {
            this.x = x;
            this.y = y;
        }
        @Override
        public boolean equals(Object obj) {
            if (obj == this) return true;
            if (!(obj instanceof Pair)) return false;
            Pair pair = (Pair)obj;
            return this.x == pair.x && this.y == pair.y;
        }

        @Override
        public int hashCode() {
            return (this.x+" "+this.y).hashCode();
        }
    }
    private static class Triplet {
        public int x, y, z;
        public Triplet(int x, int y, int z) {
            this.x = x;
            this.y = y;
            this.z = z;
        }
        @Override
        public boolean equals(Object obj) {
            if (obj == this) return true;
            if (!(obj instanceof Triplet)) return false;
            Triplet triplet = (Triplet)obj;
            return this.x == triplet.x && this.y == triplet.y && this.z == triplet.z;
        }

        @Override
        public int hashCode() {
            return (this.x+" "+this.y+" "+this.z).hashCode();
        }
    }
    ////////////////////////////////////////////////////////////////////////////////////////////////////
    static class Reader {
        private BufferedReader br;
        private StringTokenizer token;
        protected Reader(FileReader obj) {
            br = new BufferedReader(obj, 32768);
            token = null;
        }
        protected Reader() {
            br = new BufferedReader(new InputStreamReader(System.in), 32768);
            token = null;
        }
        protected String next() {
            while(token == null || !token.hasMoreTokens()) {
                try {
                    token = new StringTokenizer(br.readLine());
                } catch (Exception e) {e.printStackTrace();}
            } return token.nextToken();
        }
        protected String nextLine() {
            String str="";
            try {
                str = br.readLine();
            } catch (Exception e) {e.printStackTrace();}
            return str;
        }
        protected int nextInt() {return Integer.parseInt(next());}
        protected long nextLong() {return Long.parseLong(next());}
        protected double nextDouble() {return Double.parseDouble(next());}
        protected long[] nextLongArr(int n) {
            long[] arr = new long[n]; for(int i=0; i<n; i++) arr[i] = nextLong(); return arr;
        }
        protected int[] nextIntArr(int n) {
            int[] arr = new int[n]; for(int i=0; i<n; i++) arr[i] = nextInt(); return arr;
        }
    }
    public static final int mod = 1_000_000_007;
    private static void solve() throws Exception {
        int n = in.nextInt(), l = in.nextInt(), r = in.nextInt();
        long[] mod = new long[3];
        if (l == r) {
            if (l%3 == 0) mod = new long[]{1, 0, 0};
            else if (l%3 == 1) mod = new long[]{0, 1, 0};
            else mod = new long[]{0, 0, 1};
        }
        else {
        mod[0] = (r/3) - (long)ceil((double)(l)/3.0) + 1;
        mod[1] = ((r-1)/3) - (long)ceil((double)(l-1)/3.0) + 1;
        mod[2] = ((r-2)/3) - (long)ceil((double)(l-2)/3.0) + 1; }
        // out.println(Arrays.toString(mod));
        long[][] dp = new long[n+1][3];
        dp[1][0] = mod[0]; dp[1][1] = mod[1]; dp[1][2] = mod[2];
        for (int i=2; i<=n; i++) {
            dp[i][0] = mod(dp[i-1][0]*mod[0] + dp[i-1][1]*mod[2] + dp[i-1][2]*mod[1], 1_000_000_007);
            dp[i][1] = mod(dp[i-1][0]*mod[1] + dp[i-1][1]*mod[0] + dp[i-1][2]*mod[2], 1_000_000_007);
            dp[i][2] = mod(dp[i-1][0]*mod[2] + dp[i-1][1]*mod[1] + dp[i-1][2]*mod[0], 1_000_000_007);
        }
        out.printf("%d\n", dp[n][0]);
    }
    private static void run() throws Exception
    {
//        in = new Reader();
//        in = new Reader(new FileReader("input.txt"));
//        out = new PrintWriter(new FileWriter("output.txt"));
        in = oj ? new Reader() : new Reader(new FileReader("C:\\Users\\Suhaib\\Desktop\\input.txt"));
        out = new PrintWriter(System.out);
        long ti = System.currentTimeMillis();
        solve(); out.flush();
        if (!oj) System.out.println("\n"+(System.currentTimeMillis()-ti)+"ms");
    }
    public static void main(String[] args) throws Exception {run();}
}