Problem: In Pavlopolis University where Noora studies it was decided to hold beauty contest "Miss Pavlopolis University". Let's describe the process of choosing the most beautiful girl in the university in more detail.

The contest is held in several stages. Suppose that exactly n girls participate in the competition initially. All the participants are divided into equal groups, x participants in each group. Furthermore the number x is chosen arbitrarily, i. e. on every stage number x can be different. Within each group the jury of the contest compares beauty of the girls in the format "each with each". In this way, if group consists of x girls, then <image> comparisons occur. Then, from each group, the most beautiful participant is selected. Selected girls enter the next stage of the competition. Thus if n girls were divided into groups, x participants in each group, then exactly <image> participants will enter the next stage. The contest continues until there is exactly one girl left who will be "Miss Pavlopolis University"

But for the jury this contest is a very tedious task. They would like to divide the girls into groups in each stage so that the total number of pairwise comparisons of the girls is as few as possible. Let f(n) be the minimal total number of comparisons that should be made to select the most beautiful participant, if we admit n girls to the first stage.

The organizers of the competition are insane. They give Noora three integers t, l and r and ask the poor girl to calculate the value of the following expression: t0·f(l) + t1·f(l + 1) + ... + tr - l·f(r). However, since the value of this expression can be quite large the organizers ask her to calculate it modulo 109 + 7. If Noora can calculate the value of this expression the organizers promise her to help during the beauty contest. But the poor girl is not strong in mathematics, so she turned for help to Leha and he turned to you.

Input

The first and single line contains three integers t, l and r (1 ≤ t < 109 + 7, 2 ≤ l ≤ r ≤ 5·106).

Output

In the first line print single integer — the value of the expression modulo 109 + 7.

Example

Input

2 2 4


Output

19

Note

Consider the sample.

It is necessary to find the value of <image>.

f(2) = 1. From two girls you can form only one group of two people, in which there will be one comparison.

f(3) = 3. From three girls you can form only one group of three people, in which there will be three comparisons.

f(4) = 3. From four girls you can form two groups of two girls each. Then at the first stage there will be two comparisons, one in each of the two groups. In the second stage there will be two girls and there will be one comparison between them. Total 2 + 1 = 3 comparisons. You can also leave all girls in same group in the first stage. Then <image> comparisons will occur. Obviously, it's better to split girls into groups in the first way.

Then the value of the expression is <image>.

Solution (in JAVA):

Solution:
import java.io.*;


         
            import java.math.BigInteger;
        import java.text.DecimalFormat;
        import java.util.*;

 
        
             public class Main {
            	public static InputReader in;
                public static PrintWriter pw;
             
             
             
            	public static void main(String args[]) 
            	{
            		new Thread(null, new Runnable() {
                        public void run() {
                            try{
                                solve();
                            }
                            catch(Exception e){
                                e.printStackTrace();
                            }
                        }
                    }, "1", 1 << 26).start();
                }
            	static ArrayList<Integer> g[];
            	static ArrayList<Integer> h[];
            	static boolean visited[];
            	static int[] parent;
            	static int par[];
            	static int degree[];
            	static int edjes=0;
            	static int start=-1;
            	static int end=-1;
            	static int Total=0;
            	static int time1[];
            	static int time2[];
            	static int glob=0;
            	static int[] ans;
            	static boolean vis2[][];
            	//static long sum1=0;
            	//static long val[];
                static ArrayList<Integer> levels[];
                static int max=0;
                static int lev=1;
                static ArrayList<Integer> nodes[];
                static ArrayList<Integer> values[];
                static int depth[];
                static boolean found=false;
               // static long sm[];
                static int sum1=0;
                static int pre[][];
                static int subtree[];
               static  int cnt=0;
               static  HashMap<String,Integer> hm;
               static int sm[];
               static int size[];
               static long mul[];
               static long d[]=new long[1000000];
               static int tot=0;
               static long highest=(long)1e9;
               static boolean bit=false;
                static Stack<Integer> tt=new Stack();
               static HashSet<Character> set;
         	   static long fact[],num[];
         	   static long MOD=1000000007;
         	   static int value[];static int premen[];
         	   static int count=0,index=0;
         	   static double ans11[];
         	   static int price[];
         	   static ArrayList<String> hp[][];
         	   static boolean visit[][];
         	   static int cnu[]=new int[1000001];
         	   static int label=1;
         	   static int his[][];
         	   static int size1=0;
         	   static int up[],down[];
         	   static int TotalUp=0;
         	   static long dist[];
         	//   static HashMap<String,Integer> hm1=new HashMap();
         	  // static HashMap<Integer,Integer> hm2=new HashMap();
         	   static TreeSet<Long> set1=new TreeSet();
         	  static  long DP[][][]=new long[20][200][1500];
         	 	static int t=-1,n=-1;
         	 	static int two[],min[],r[];
         	 	static int total[];static int black[];
         	 	static int Parent[];
         	 	static int max2[];
         	// 	static int tin[],tout[],a[];
         	 public static void solve() throws FileNotFoundException{
            		
            	
            		 in = new InputReader(System.in);
            		 pw = new PrintWriter(System.out);  
            	/*	 String p=in.readString();
            	     char c[]=p.toCharArray();
            	     int z[]=new int[p.length()];
            	     z[0]=0;
            	     int left=0;
            	     int right=0;
            	     for(int i=1;i<p.length();i++)
            	     {
            	    	 if(i>right)
            	    	 {
            	    		 
            	    		 left=right=i;
            	    		 while(right<p.length()&&c[right]==c[right-left])
            	    			 right++;
            	    		 z[i]=right-left;
            	    		 right--;
            	    	 }
            	    	 else
            	    	 {
            	    		 int k=i-left;
            	    		 if(z[k]<right-i+1)
            	    		 {
            	    			 z[i]=z[k];
            	    		 }
            	    		 else
            	    		 {
            	    			 left=i;
            	    			 while(right<p.length()&&c[right]==c[right-left])
                	    			 right++;
                	    		 z[i]=right-left;
                	    		 right--;
            	    		 }
            	    	 }
            	    	  
            	     }*/
                     long t=in.nextLong();
                     int l=in.nextInt();
                     int r=in.nextInt();
                     int prime[]=new int[5000006];
                     prime[1]=1;
                     int fact[]=new int[5000006];
                     for(int i=2;i*i<=5000000;i++)
                         if(prime[i]==0)
                        	 for(int j=2*i;j<=5000000;j+=i)
                        	 {
                        		 prime[j]=1;
                        		 if(fact[j]==0)
                        			 fact[j]=i;
                        	 }
                      for(int i=2;i*i<=5000000;i++)
                    	  if(prime[i]==0)
                    		  fact[i]=i;
                      long dp[]=new long[5000006];
                      dp[2]=(long)1;
                      for(int i=3;i<=5000000;i++)
                      {
                    	  if(prime[i]==0)
                    	  {
                    		  dp[i]=(long)i*(long)(i-1);
                    		  dp[i]/=2;
                    		  continue;
                    	  }
                    	  long parts=(i/fact[i]);
                    	  dp[i]+=(parts)*(long)dp[fact[i]];
                    	  dp[i]+=dp[(int)parts];
                    	  dp[i]%=1000000007;
                      }
                      long ans=0;
                     long count=0;
                     long tempr=1;
                      for(int i=l;i<=r;i++)
                      {
                    	  long temp=((tempr%1000000007)*(dp[i]%1000000007))%1000000007;
                          ans+=temp;
                          tempr=((tempr%1000000007)*(t%1000000007))%1000000007;
                          ans%=1000000007;
                          count++;
                       }
                      System.out.println(ans%1000000007);
                      
         	 } 
         	 static class Pair2 implements Comparable<Pair2>{
         		 int l;int r;
         		 int c;
         		 int k;
         		 Pair2(int l,int r,int c)
         		 {
         			 this.l=l;
         			 this.r=r;
         			 this.c=c;
         		 }
         		 public int compareTo(Pair2 o)
         		 {
         			 return l-o.l;
         		 }
         	 }

         	 
         	 
         	 
         	 
                  	 public static int search(int l,int h,int a[],int key)
         	 {
         		 if(l>h)
         			 return -1;
         		 int mid=(l+h)/2;
         		 if(key==a[mid])
         		 {
         			 return mid;
         		 }
         		 if(a[l]<=a[mid])
         		 {
         			 if(key>=a[l]&&key<=a[mid])
         				 return search(l,mid-1,a,key);
         			 return search(mid+1,h,a,key);
         		 }
         		 if(key>=a[mid]&&key<=a[h])
         			 return search(mid+1,h,a,key);
         		 return search(l,mid-1,a,key);
         	 }
         	 public static boolean check(int a[][],int b[][],int n,int m)
         	 {
         		for(int k=0;k<n;k++)
    			{
    				for(int l=0;l<m;l++)
    				{
    					if(a[k][l]!=b[k][l])
    					{
    						return false;
    						//break;
    					}
    				}
    			}
         		return true;
         	 }
        
            
          		public static void bfs(int x)
         	 {
         		 visited[x]=true;
         		 Queue<Integer> Q=new LinkedList<Integer>();
         		 Q.add(x);
         		 while(!Q.isEmpty())
         		 {
         			 int count=Q.size();
         			 while(count>0)
         			 {
         				 int p=Q.poll();
         				 visited[p]=true;
         				 for(int y:g[p])
         				 {
         					 if(!visited[y])
         					 {
         						 Q.add(y);
         					 }
         				 }
         				 count--;
         			 }
         		 }
         	 }
         	 public static void depth(int curr,int parent)
         	 {
         		 visited[curr]=true;
         		 for(int x:g[curr])
         		 {
         			 if(!visited[x])
         			 {
         				 depth[x]=depth[curr]+1;
         				 depth(x,curr);
         			 }
         		 }
         	 }
         	
         	 static int Par[]=new int[202];
         	 public static void Height(int cur,int par){
         		 Par[cur]=par;
         		 visited[cur]=true;
         		 int t=0;
         		 for(int x:g[cur])
         		 {
         			 if(!visited[x])
         			 { 
         				 t++;
         				 Height(x,cur);
         				 high[cur]=Math.max(high[cur], high[x]+1);
         			 }
         		 }
         		 if(t==0)
         		 {
         			 high[cur]=0;
         		 }
         	
         	 }
         	 static int dia[]=new int[202];
         	 static int high[]=new int[292];
         	 public static void Diameter(int curr,int parent)
         	 {
         		visited[curr]=true;
         		int trees=0;
         		ArrayList<Integer> set=new ArrayList();
         	
         		for(int x:g[curr])
         		{
         			if(!visited[x])
         			{
         				trees++;
         				Diameter(x,curr);
         				dia[curr]=Math.max(dia[curr],high[x]);
         				set.add(high[x]);
         			}
         		}
         		if(set.size()>=2)
         		{
         			Collections.sort(set,Collections.reverseOrder());
         			dia[curr]=Math.max(dia[curr],set.get(0)+set.get(1)+2);
         		}
         		else if(set.size()>0)
         		{
         			dia[curr]=Math.max(dia[curr],set.get(0)+1);
         		}
         		if(trees==0)
         		{
         			dia[curr]=0;
         		}
         
         	 }
         	 
              	 
         	 public static boolean IsPal(String s)
         	 {
         		 char c[]=s.toCharArray();
         		 for(int i=0;i<c.length/2;i++)
         		 {
         			 if(c[i]!=c[s.length()-1-i])
         				 return false;
         		 }
         		 return true;
         	 }
         	public static void Merge(long[] a,int p,int r){
                if(p<r){
                    int q = (p+r)/2;
                    Merge(a,p,q);
                    Merge(a,q+1,r);
                    Merge_Array(a,p,q,r);
                }
            }
            public static void Merge_Array(long a[],int p,int q,int r){
               long b[] = new long[q-p+1];
                long c[] = new long[r-q];
                for(int i=0;i<b.length;i++)
                    b[i] = a[p+i];
                for(int i=0;i<c.length;i++)
                    c[i] = a[q+i+1];
                int i = 0,j = 0;
                for(int k=p;k<=r;k++){
                    if(i==b.length){
                        a[k] = c[j];
                        j++;
                    }
                    else if(j==c.length){
                        a[k] = b[i];
                        i++;
                    }
                    else if(b[i]<c[j]){
                        a[k] = b[i];
                        i++;
                    }
                    else{
                        a[k] = c[j];
                        j++;
                    }
                }
            }
         	 
         	 
         	 
         	
         	
               
         	  public static void dfs1(int curr,int parent)
         	  {
         		  visited[curr]=true;
         		  
         		  for(int x:g[curr])
         		  {
         			  
         			  if(x==parent)continue;
         			  depth[x]=depth[curr]+1;
         			  up[x]=up[curr];
         			  if(h[x].contains(curr)){
         				  up[x]++;
         				  TotalUp++;
         			  }
         			  dfs1(x,curr);
         		  }
         	  }
         	 
                
                
                public static void dfs(int curr,int Parent)
                {
                	visited[curr]=true;
                	size[curr]=1;
                	parent[curr]=Parent;
                	count++;
                	if(value[curr]>0)
                	{
                		index=value[curr];
                	}
                	for(int x:g[curr])
                	{
                		if(!visited[x])
                		{
                			dfs(x,curr);
                			size[curr]+=size[x];
                		}
                	}
                }
                static long ncr(long a, long b){
        			if(b>a || b<0) return 0;
        			long f = (fact[(int) a]*modInverse(((fact[(int) b]*fact[(int) (a-b)])%MOD), MOD))%MOD;
        			return f;
        		}
        		static long modInverse(long a, long mOD2){
                    return  power(a, mOD2-2, mOD2);
        }
        static long power(long x, long y, long m)
        {
            if (y == 0)
                return 1;
            long p = power(x, y/2, m) % m;
            p = (p * p) % m;
         
            return (y%2 == 0)? p : (x * p) % m;
        }
         
                public static long gcd(long x, long y) {
            		if (x == 0)
            			return y;
            		else
            			return gcd( y % x,x);
            	}	
                public static long power(long a,long b)
        		{
        			long result=1;
        			while(b>0)
        			{
        				if(b%2==1)
        					result*=a;
        				a=a*a;
        				b/=2;
        			}
        			return result;
        		}
                static class Pair implements Comparable<Pair>{
                	    int l;int r;long cost;
                		Pair(long val,int index,long cost){
                	     	this.l=(int) val;
                			this.r=index;
                			this.cost=cost;
                			
                		}
                		@Override
                		public int compareTo(Pair o) {
                                
                                	return r-o.r;
                		}
                				
                	}
            	static class InputReader {
             
            		private InputStream stream;
            		private byte[] buf = new byte[8192];
            		private int curChar, snumChars;
            		private SpaceCharFilter filter;
             
            		public InputReader(InputStream stream) {
            			this.stream = stream;
            		}
             
            		public int snext() {
            			if (snumChars == -1)
            				throw new InputMismatchException();
            			if (curChar >= snumChars) {
            				curChar = 0;
            				try {
            					snumChars = stream.read(buf);
            				} catch (IOException e) {
            					throw new InputMismatchException();
            				}
            				if (snumChars <= 0)
            					return -1;
            			}
            			return buf[curChar++];
            		}
             
            		public   int nextInt() {
            			int c = snext();
            			while (isSpaceChar(c))
            				c = snext();
            			int sgn = 1;
            			if (c == '-') {
            				sgn = -1;
            				c = snext();
            			}
            			int res = 0;
            			do {
            				if (c < '0' || c > '9')
            					throw new InputMismatchException();
            				res *= 10;
            				res += c - '0';
            				c = snext();
            			} while (!isSpaceChar(c));
            			return res * sgn;
            		}
             
            		public long nextLong() {
            			int c = snext();
            			while (isSpaceChar(c))
            				c = snext();
            			int sgn = 1;
            			if (c == '-') {
            				sgn = -1;
            				c = snext();
            			}
            			long res = 0;
            			do {
            				if (c < '0' || c > '9')
            					throw new InputMismatchException();
            				res *= 10;
            				res += c - '0';
            				c = snext();
            			} while (!isSpaceChar(c));
            			return res * sgn;
            		}
             
            		public int[] nextIntArray(int n) {
            			int a[] = new int[n];
            			for (int i = 0; i < n; i++)
            				a[i] = nextInt();
            			return a;
            		}
             
            		public String readString() {
            			int c = snext();
            			while (isSpaceChar(c))
            				c = snext();
            			StringBuilder res = new StringBuilder();
            			do {
            				res.appendCodePoint(c);
            				c = snext();
            			} while (!isSpaceChar(c));
            			return res.toString();
            		}
             
            		public boolean isSpaceChar(int c) {
            			if (filter != null)
            				return filter.isSpaceChar(c);
            			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
            		}
             
            		public interface SpaceCharFilter {
            			public boolean isSpaceChar(int ch);
            		}
            	}
            }