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 PYTHON):

Solution:
"""
Given N, D, A, N means no. of monsters, D means distances of bombs, A attack of the bombs

Find the minimum of bombs required to win.

Each monster out of N pairs - pair[0] = position, pair[1] = health
"""
from collections import deque

mod = 1e9+7
def add(a, b):
    c = a + b
    if c >= mod:
        c -= mod
    return c

def main():
    N, D, A = [int(x) for x in raw_input().split()]
    D *= 2
    monsters = []
    
    for _ in range(N):
        pos, health = [int(x) for x in raw_input().split()]
        monsters.append([pos, health])    
    
    
    monsters.sort(key = lambda x : x[0])
    
    remain_attacks_queue = deque([])
    
    remain_attack = 0
    
    ans = 0
    
    for monster in monsters:
        # monster[0] - pos, monster[1] - health
        # queue[0] - position, queue[1] - attack points
        while len(remain_attacks_queue) and monster[0] - D > remain_attacks_queue[0][0]:
            remain_attack -= remain_attacks_queue.popleft()[1]
        if remain_attack < monster[1]:
            remained_health = monster[1] - remain_attack
            times = remained_health / A if remained_health % A == 0 else remained_health // A + 1
            #print(times)
            attack = times * A
            remain_attacks_queue.append([monster[0], attack])
            ans += times
            remain_attack += attack
        
    print(ans)
    

main()