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].
//package codeforces.practice.div2c;

import java.io.*;
import java.util.*;

public class CF1105C {
    private static int UNVISITED = 0;
    private static int VISITING = -1;
    private static int VISITED = 1;

    public static void main(String[] args) {
//        try {
//            FastScanner in = new FastScanner(new FileInputStream("src/input.in"));
//            PrintWriter out = new PrintWriter(new FileOutputStream("src/output.out"));

        FastScanner in = new FastScanner(System.in);
        PrintWriter out = new PrintWriter(System.out);

            solve(1, in, out);

//        } catch (IOException e) {
//            e.printStackTrace();
//        }
    }

    private static void solve(int q, FastScanner in, PrintWriter out) {
        for (int qq = 0; qq < q; qq++) {
            int n = in.nextInt(), l = in.nextInt(), r = in.nextInt();
            int mod = (int)1e9 + 7;
            long[] cnt = new long[3];
            while(l % 3 != 0 && l <= r) {
                cnt[l % 3]++;
                l++;
            }
            while(r % 3 != 2 && l <= r) {
                cnt[r % 3]++;
                r--;
            }
            for(int i = 0; i < 3; i++) {
                cnt[i] += (r - l + 1) / 3;
            }

            long[][] dp = new long[n + 1][3];   //dp[i][j]: the number of ways to get an array of length i whose sum is j after % 3
            //dp[i][0] = number of ways to pick 0 * dp[i - 1][0] + number of ways to pick 1 * dp[i - 1][2] + numbers of ways to
            //pick 2 * dp[i - 1][1]

            dp[1][0] = cnt[0];
            dp[1][1] = cnt[1];
            dp[1][2] = cnt[2];

            for(int i = 2; i <= n; i++) {
                dp[i][0] = (dp[i - 1][0] * cnt[0] + dp[i - 1][1] * cnt[2] + dp[i - 1][2] * cnt[1]) % mod;
                dp[i][1] = (dp[i - 1][0] * cnt[1] + dp[i - 1][1] * cnt[0] + dp[i - 1][2] * cnt[2]) % mod;
                dp[i][2] = (dp[i - 1][0] * cnt[2] + dp[i - 1][1] * cnt[1] + dp[i - 1][2] * cnt[0]) % mod;
            }

            out.println(dp[n][0]);
        }
        out.close();
    }

    private static long modularAdd(long a, long b, int mod) {
        long sum = a + b;
        if (sum >= mod) {
            sum -= mod;
        }
        return sum;
    }

    private static long modularSubtract(long a, long b, int mod) {
        long diff = a - b;
        if (diff < 0) {
            diff += mod;
        }
        return diff;
    }

    private static Stack<Integer> topologicalSort(Set<Integer>[] g) {
        Stack<Integer> stack = new Stack<>();
        int[] state = new int[g.length];

        for (int node = 0; node < g.length; node++) {
            if (!topoSortHelper(g, stack, state, node)) {
                return null;
            }
        }
        return stack;
    }

    private static boolean topoSortHelper(Set<Integer>[] g, Stack<Integer> stack, int[] state, int currNode) {
        if (state[currNode] == VISITED) {
            return true;
        } else if (state[currNode] == VISITING) {
            return false;
        }
        state[currNode] = VISITING;
        for (int neighbor : g[currNode]) {
            if (!topoSortHelper(g, stack, state, neighbor)) {
                return false;
            }
        }
        state[currNode] = VISITED;
        stack.push(currNode);
        return true;
    }

    static class FastScanner {
        BufferedReader br;
        StringTokenizer st;

        FastScanner(InputStream stream) {
            try {
                br = new BufferedReader(new InputStreamReader(stream));
            } catch (Exception e) {
                e.printStackTrace();
            }
        }

        String next() {
            while (st == null || !st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

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

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

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
}


