Reziba has many magic gems. Each magic gem can be split into M normal gems. The amount of space each magic (and normal) gem takes is 1 unit. A normal gem cannot be split.

Reziba wants to choose a set of magic gems and split some of them, so the total space occupied by the resulting set of gems is N units. If a magic gem is chosen and split, it takes M units of space (since it is split into M gems); if a magic gem is not split, it takes 1 unit.

How many different configurations of the resulting set of gems can Reziba have, such that the total amount of space taken is N units? Print the answer modulo 1000000007 (10^9+7). Two configurations are considered different if the number of magic gems Reziba takes to form them differs, or the indices of gems Reziba has to split differ.

Input

The input contains a single line consisting of 2 integers N and M (1 ≤ N ≤ 10^{18}, 2 ≤ M ≤ 100).

Output

Print one integer, the total number of configurations of the resulting set of gems, given that the total amount of space taken is N units. Print the answer modulo 1000000007 (10^9+7).

Examples

Input


4 2


Output


5


Input


3 2


Output


3

Note

In the first example each magic gem can split into 2 normal gems, and we know that the total amount of gems are 4.

Let 1 denote a magic gem, and 0 denote a normal gem.

The total configurations you can have is: 

  * 1 1 1 1 (None of the gems split); 
  * 0 0 1 1 (First magic gem splits into 2 normal gems); 
  * 1 0 0 1 (Second magic gem splits into 2 normal gems); 
  * 1 1 0 0 (Third magic gem splits into 2 normal gems); 
  * 0 0 0 0 (First and second magic gems split into total 4 normal gems). 



Hence, answer is 5.
import java.io.*;
import java.util.*;

public class Main {

	static double dist(triple a, triple b) {
		return (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y);
	}

	static int mod = (int) (1e9 + 7);

	public static void main(String[] args) throws Exception {
		Scanner sc = new Scanner(System.in);
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		PrintWriter pw = new PrintWriter(System.out);
		long n = sc.nextLong();
		int m = sc.nextInt();
		if (n < m)
			pw.println(1);
		else {
			int[][] mul = new int[m][m];
			mul[0][0] = 1;
			mul[0][m - 1] = 1;
			for (int i = 1; i < mul.length; i++) {
				mul[i][i-1] = 1;
			}
			int[][] ans = matPow(mul, n - m + 1);
			int[][] temp = new int[m][1];
			for (int i = 0; i < temp.length; i++) {
				temp[i][0] = 1;
			}
			ans = matMul(ans, temp, m, m, 1);
			pw.println(ans[0][0]);
		}

		pw.flush();
	}

	static int[][] matMul(int[][] A, int[][] B, int p, int q, int r) // C(p x r) = A(p x q) x (q x r) -- O(p x q x r)
	{
		int[][] C = new int[p][r];
		for (int i = 0; i < p; ++i)
			for (int j = 0; j < r; ++j)
				for (int k = 0; k < q; ++k) {
					C[i][j] += (A[i][k] * 1l * B[k][j]) % mod;
					C[i][j] %= mod;
				}
		return C;
	}

	/*
	 * 4. Square Matrix Exponentiation
	 */
	static int[][] matPow(int[][] base, long p) {
		int n = base.length;
		int[][] ans = new int[n][n];
		for (int i = 0; i < n; i++)
			ans[i][i] = 1;
		while (p != 0) {
			if ((p & 1) == 1)
				ans = matMul(ans, base, n, n, n);
			base = matMul(base, base, n, n, n);
			p >>= 1;
		}

		return ans;
	}

	static final long INF = (long) 1e10;
	static int V, s, t;
	static long res[][]; // input
	static ArrayList<Integer>[] adjList; // input
	static int[] ptr, dist;

	static long dinic() // O(V^2E)
	{
		long mf = 0;
		while (bfs()) {
			ptr = new int[V];
			long f = 0;
			while ((f = dfs(s, INF)) != 0)
				mf += f;
		}
		return mf;
	}

	static boolean bfs() {
		dist = new int[V];
		Arrays.fill(dist, -1);
		dist[s] = 0;
		Queue<Integer> q = new LinkedList<Integer>();
		q.add(s);
		while (!q.isEmpty()) {
			int u = q.remove();
			if (u == t)
				return true;
			for (int v : adjList[u])
				if (dist[v] == -1 && res[u][v] > 0) {
					dist[v] = dist[u] + 1;
					q.add(v);
				}
		}
		return false;
	}

	static long dfs(int u, long flow) {
		if (u == t)
			return flow;
		for (int i = ptr[u]; i < adjList[u].size(); i = ++ptr[u]) {
			int v = adjList[u].get(i);
			if (dist[v] == dist[u] + 1 && res[u][v] > 0) {
				long f = dfs(v, Math.min(flow, res[u][v]));
				if (f > 0) {
					res[u][v] -= f;
					res[v][u] += f;
					return f;
				}
			}
		}
		return 0;

	}

	static class triple implements Comparable<triple> {
		double x;
		double y;
		int z;
		int idx;

		public triple(double a, double b, int c, int d) {
			x = a;
			y = b;
			z = c;
			idx = d;
		}

		@Override
		public int compareTo(triple o) {
			// TODO Auto-generated method stub
			return 0;
		}
	}

	static int[] isComposite;

	static void sieve(int N) // O(N log log N)
	{
		isComposite = new int[N + 1];
		isComposite[0] = isComposite[1] = 1; // 0 indicates a prime number
//		primes = new ArrayList<Integer>();

		for (int i = 2; i <= N; ++i) // can loop till i*i <= N if primes array is not needed O(N log log sqrt(N))
			if (isComposite[i] == 0) // can loop in 2 and odd integers for slightly better performance
			{
//				primes.add(i);
				if (1l * i * i <= N)
					for (int j = i * i; j <= N; j += i) // j = i * 2 will not affect performance too much, may alter in
														// modified sieve
						isComposite[j] = 1;
			}
	}

	static class pair implements Comparable<pair> {
		int x, y;
		int w;

		pair(int s, int d) {
			x = s;
			y = d;
		}

		pair(int s, int d, int c) {
			x = s;
			y = d;
			w = c;
		}

		@Override
		public int compareTo(pair p) {
			return (x == p.x && y == p.y) ? 0 : 1;
		}

		@Override
		public String toString() {
			return x + " " + y;

		}

	}

	static long mod(long ans, int mod) {
		return (ans % mod + mod) % mod;
	}

	static long gcd(long a, long b) {
		if (a == 0)
			return b;
		return gcd(b % a, a);
	}

	static long lcm(long a, long b) {
		return (a * b) / gcd(a, b);
	}

	public static int log(int n, int base) {
		int ans = 0;
		while (n + 1 > base) {
			ans++;
			n /= base;
		}
		return ans;
	}

	static long pow(long b, long e) {
		long ans = 1;
		while (e > 0) {
			if ((e & 1) == 1)
				ans = ((ans * 1l * b));
			e >>= 1;
			{

			}
			b = ((b * 1l * b));
		}
		return ans;
	}

	static int powmod(int b, long e, int mod) {
		int ans = 1;
		b %= mod;
		while (e > 0) {
			if ((e & 1) == 1)
				ans = (int) ((ans * 1l * b) % mod);
			e >>= 1;
			b = (int) ((b * 1l * b) % mod);
		}
		return ans;
	}

	static int ceil(int a, int b) {
		int ans = a / b;
		return a % b == 0 ? ans : ans + 1;
	}

	static long ceil(long a, long b) {
		long ans = a / b;
		return a % b == 0 ? ans : ans + 1;
	}

	static HashMap<Integer, Integer> compress(int a[]) {
		TreeSet<Integer> ts = new TreeSet<>();
		HashMap<Integer, Integer> hm = new HashMap<>();
		for (int x : a)
			ts.add(x);
		for (int x : ts) {
			hm.put(x, hm.size() + 1);
		}
		return hm;
	}

	// Returns nCr % p
	static int C[];

	static int nCrModp(int n, int r, int p) {
		if (r > n - r)
			r = n - r;
		if (C[r] != 0)
			return C[r];
		// The array C is going to store last
		// row of pascal triangle at the end.
		// And last entry of last row is nCr

		C[0] = 1; // Top row of Pascal Triangle

		// One by constructs remaining rows of Pascal
		// Triangle from top to bottom
		for (int i = 1; i <= n; i++) {

			// Fill entries of current row using previous
			// row values
			for (int j = Math.min(i, r); j > 0; j--)

				// nCj = (n-1)Cj + (n-1)C(j-1);
				C[j] = (C[j] + C[j - 1]) % p;
		}
		return C[r];
	}

	static class Scanner {
		StringTokenizer st;
		BufferedReader br;

		public Scanner(InputStream s) {
			br = new BufferedReader(new InputStreamReader(s));
		}

		public Scanner(String file) throws Exception {
			br = new BufferedReader(new FileReader(file));
		}

		public int[] intArr(int n) throws IOException {
			int a[] = new int[n];
			for (int i = 0; i < a.length; i++) {
				a[i] = nextInt();
			}
			return a;
		}

		public long[] longArr(int n) throws IOException {
			long a[] = new long[n];
			for (int i = 0; i < a.length; i++) {
				a[i] = nextLong();
			}
			return a;
		}

		public String next() throws IOException {
			while (st == null || !st.hasMoreTokens())
				st = new StringTokenizer(br.readLine());
			return st.nextToken();
		}

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

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

		public String nextLine() throws IOException {
			return br.readLine();
		}

		public double nextDouble() throws IOException {
			String x = next();
			StringBuilder sb = new StringBuilder("0");
			double res = 0, f = 1;
			boolean dec = false, neg = false;
			int start = 0;
			if (x.charAt(0) == '-') {
				neg = true;
				start++;
			}
			for (int i = start; i < x.length(); i++)
				if (x.charAt(i) == '.') {
					res = Long.parseLong(sb.toString());
					sb = new StringBuilder("0");
					dec = true;
				} else {
					sb.append(x.charAt(i));
					if (dec)
						f *= 10;
				}
			res += Long.parseLong(sb.toString()) / f;
			return res * (neg ? -1 : 1);
		}

		public boolean ready() throws IOException {
			return br.ready();
		}

	}

	public static void shuffle(Integer[] x2) {
		int n = x2.length;
		for (int i = 0; i < n; i++) {
			int r = i + (int) (Math.random() * (n - i));
			int tmp = x2[i];
			x2[i] = x2[r];
			x2[r] = tmp;
		}
	}

}