Problem: Silver Fox is fighting with N monsters.

The monsters are standing in a row, and we can assume them to be standing on a number line. The i-th monster, standing at the coordinate X_i, has the health of H_i.

Silver Fox can use bombs to attack the monsters. Using a bomb at the coordinate x decreases the healths of all monsters between the coordinates x-D and x+D (inclusive) by A. There is no way other than bombs to decrease the monster's health.

Silver Fox wins when all the monsters' healths become 0 or below.

Find the minimum number of bombs needed to win.

Constraints

* 1 \leq N \leq 2 \times 10^5
* 0 \leq D \leq 10^9
* 1 \leq A \leq 10^9
* 0 \leq X_i \leq 10^9
* 1 \leq H_i \leq 10^9
* X_i are distinct.
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N D A
X_1 H_1
:
X_N H_N


Output

Print the minimum number of bombs needed to win.

Examples

Input

3 3 2
1 2
5 4
9 2


Output

2


Input

9 4 1
1 5
2 4
3 3
4 2
5 1
6 2
7 3
8 4
9 5


Output

5


Input

3 0 1
300000000 1000000000
100000000 1000000000
200000000 1000000000


Output

3000000000

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
import java.math.*;

 
 public class Main	{
   static class Pair implements Comparable<Pair>{
   long a;
   long b;
   public Pair(long x,long y){a=x;b=y;}
   public Pair(){}
   public int compareTo(Pair p){
      return Long.compare(a, p.a);
   }
 }
static class TrieNode{
  TrieNode[]child;
  int w;
  boolean term;
  TrieNode(){
    child = new TrieNode[26];  
  }
}
  public static int gcd(int a,int b)
  {
    if(a<b)

      return gcd(b,a);
    if(b==0)
      return a;
    return gcd(b,a%b);
    
  }
  //static long ans = 0;
  static long mod =(long)(1e9+7); //998244353;//
   
    public static void main(String[] args) throws Exception {
       new Thread(null, null, "Anshum Gupta", 99999999) {
            public void run() {
                try {
                    solve();
                } catch(Exception e) {
                    e.printStackTrace();
                    System.exit(1);
                }
            }
        }.start();
    }

static long pow(long x,long y){
    if(y == 0)return 1;
    if(y==1)return x;
    long a = pow(x,y/2);
    a = (a*a)%mod;
    if(y%2==0){
        return a;
    }
    return (a*x)%mod;
}

static long mxx;
static int mxN = (int)(1e5+5);
static long[]fact,inv_fact;
static long my_inv(long a) {
	return pow(a,mod-2);
}
static long bin(int a,int b) {
    return ((fact[a]*inv_fact[a-b])%mod * inv_fact[b])%mod;
}

static ArrayList<ArrayList<Integer>>adj ;
static int bs(Pair[]arr,int st,int e,long val) {
	if(st>e)return arr.length;
	if(st==e) {
		if(arr[st].a > val)return st;
		return arr.length;
	}
	int mid = (st+e)/2;
	if(arr[mid].a > val)return bs(arr,st,mid,val);
	else return bs(arr,mid+1,e,val);
}
 public static void solve() throws Exception {
   // solve the problem here
   MyScanner s = new MyScanner();
        out = new PrintWriter(new BufferedOutputStream(System.out), true);
        int t = 1;//s.nextInt();
        mxx = (long)(1e18+5);
 
        while(t-->0){
        	int n = s.nextInt();
        	long d = s.nextLong();
        	long a = s.nextLong();
        	Pair[]arr=new Pair[n];
        	for(int i=0;i<n;i++) {
        		arr[i] = new Pair(s.nextLong(),s.nextLong());
        	}
        	Arrays.sort(arr);
        	long[]dam = new long[n];
        	long[]pre=new long[n+1];
        	long ans = 0;
        	for(int i=0;i<n;i++) {
        		dam[i] += pre[i];
        		if(arr[i].b - dam[i] > 0) {
        			long need = (long)Math.ceil((arr[i].b-dam[i])*1.0/a);
        			ans += need;
        			pre[i] += need*a;
        			int j = bs(arr,i+1,n-1,2*d+arr[i].a);
        			
        				pre[j] -= need*a;
        		
        		}
        		pre[i+1] += pre[i];
        	}
        	out.println(ans);
        }
           
        out.flush();
}
 
     
 
 
 
    //-----------PrintWriter for faster output---------------------------------
    public static PrintWriter out;
 
    //-----------MyScanner class for faster input----------
    public static class MyScanner {
        BufferedReader br;
        StringTokenizer st;
 
        public MyScanner() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }
 
        String next() {
            while (st == null || !st.hasMoreElements()) {
                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;
        }
    }
    //--------------------------------------------------------
}