Problem: Vasya has n burles. One bottle of Ber-Cola costs a burles and one Bars bar costs b burles. He can buy any non-negative integer number of bottles of Ber-Cola and any non-negative integer number of Bars bars.

Find out if it's possible to buy some amount of bottles of Ber-Cola and Bars bars and spend exactly n burles.

In other words, you should find two non-negative integers x and y such that Vasya can buy x bottles of Ber-Cola and y Bars bars and x·a + y·b = n or tell that it's impossible.

Input

First line contains single integer n (1 ≤ n ≤ 10 000 000) — amount of money, that Vasya has.

Second line contains single integer a (1 ≤ a ≤ 10 000 000) — cost of one bottle of Ber-Cola.

Third line contains single integer b (1 ≤ b ≤ 10 000 000) — cost of one Bars bar.

Output

If Vasya can't buy Bars and Ber-Cola in such a way to spend exactly n burles print «NO» (without quotes).

Otherwise in first line print «YES» (without quotes). In second line print two non-negative integers x and y — number of bottles of Ber-Cola and number of Bars bars Vasya should buy in order to spend exactly n burles, i.e. x·a + y·b = n. If there are multiple answers print any of them.

Any of numbers x and y can be equal 0.

Examples

Input

7
2
3


Output

YES
2 1


Input

100
25
10


Output

YES
0 10


Input

15
4
8


Output

NO


Input

9960594
2551
2557


Output

YES
1951 1949

Note

In first example Vasya can buy two bottles of Ber-Cola and one Bars bar. He will spend exactly 2·2 + 1·3 = 7 burles.

In second example Vasya can spend exactly n burles multiple ways: 

  * buy two bottles of Ber-Cola and five Bars bars; 
  * buy four bottles of Ber-Cola and don't buy Bars bars; 
  * don't buy Ber-Cola and buy 10 Bars bars. 



In third example it's impossible to but Ber-Cola and Bars bars in order to spend exactly n burles.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
long long int gcd(long long int a, long long int b, long long int& x,
                  long long int& y) {
  if (a == 0) {
    x = 0;
    y = 1;
    return b;
  }
  long long int x1, y1;
  long long int d = gcd(b % a, a, x1, y1);
  x = y1 - (b / a) * x1;
  y = x1;
  return d;
}
bool find_any_solution(long long int a, long long int b, long long int c,
                       long long int& x0, long long int& y0, long long int& g) {
  g = gcd(abs(a), abs(b), x0, y0);
  if (c % g != 0) return false;
  x0 *= c / g;
  y0 *= c / g;
  if (a < 0) x0 *= -1;
  if (b < 0) y0 *= -1;
  return true;
}
int main() {
  long long int a, b, c;
  cin >> c >> a >> b;
  long long int x = 0, y = 0, g = 0;
  if (find_any_solution(a, b, c, x, y, g)) {
    const long long int c_x = x;
    const long long int c_y = y;
    if (x < 0) {
      for (long long int i = 0; x < 0; ++i) {
        x = c_x + i * b / g;
        y = c_y - i * a / g;
      }
    } else if (y < 0) {
      for (long long int i = 0; y < 0; --i) {
        x = c_x + i * b / g;
        y = c_y - i * a / g;
      }
    }
    if (x < 0 || y < 0)
      cout << "NO\n";
    else
      cout << "YES\n" << x << " " << y << "\n";
  } else
    cout << "NO\n";
  return 0;
}