Soon after the Chunga-Changa island was discovered, it started to acquire some forms of civilization and even market economy. A new currency arose, colloquially called "chizhik". One has to pay in chizhiks to buy a coconut now.

Sasha and Masha are about to buy some coconuts which are sold at price z chizhiks per coconut. Sasha has x chizhiks, Masha has y chizhiks. Each girl will buy as many coconuts as she can using only her money. This way each girl will buy an integer non-negative number of coconuts.

The girls discussed their plans and found that the total number of coconuts they buy can increase (or decrease) if one of them gives several chizhiks to the other girl. The chizhiks can't be split in parts, so the girls can only exchange with integer number of chizhiks.

Consider the following example. Suppose Sasha has 5 chizhiks, Masha has 4 chizhiks, and the price for one coconut be 3 chizhiks. If the girls don't exchange with chizhiks, they will buy 1 + 1 = 2 coconuts. However, if, for example, Masha gives Sasha one chizhik, then Sasha will have 6 chizhiks, Masha will have 3 chizhiks, and the girls will buy 2 + 1 = 3 coconuts. 

It is not that easy to live on the island now, so Sasha and Mash want to exchange with chizhiks in such a way that they will buy the maximum possible number of coconuts. Nobody wants to have a debt, so among all possible ways to buy the maximum possible number of coconuts find such a way that minimizes the number of chizhiks one girl gives to the other (it is not important who will be the person giving the chizhiks).

Input

The first line contains three integers x, y and z (0 ≤ x, y ≤ 10^{18}, 1 ≤ z ≤ 10^{18}) — the number of chizhics Sasha has, the number of chizhics Masha has and the price of a coconut. 

Output

Print two integers: the maximum possible number of coconuts the girls can buy and the minimum number of chizhiks one girl has to give to the other.

Examples

Input


5 4 3


Output


3 1


Input


6 8 2


Output


7 0

Note

The first example is described in the statement. In the second example the optimal solution is to dot exchange any chizhiks. The girls will buy 3 + 4 = 7 coconuts.
import java.util.*;
import java.math.*;

// **** A. Chunga-Changa ****

public class A {
	static char [] in = new char [1000000];
	public static void main (String [] arg) throws Throwable {
		long x = nextLong();
		long y = nextLong();
		long z = nextLong();
		long a1 = (x+y)/z;
		long b1 = Math.min((z - (y%z))% z , (z - (x % z)) % z);
		if (a1 == (x/z) + (y/z)) b1 = 0;
		System.out.println(a1 + " " + b1);
		
	}

	
	
	
	
	
	
	
	
	
	
	
	
	
	/************** HELPER CLASSES ***************/
    //static class HS extends HashSet<Integer>{public HS(){super();}public HS(int a){super(a);}};
	//static class AL extends ArrayList<Integer>{public AL(){super();}public AL(int a){super (a);}};
	static class Pair implements Comparable<Pair> {int x,y;long L; public Pair(int xx, int yy, long LL){x=xx;y=yy;L=LL;} public int compareTo(Pair p) {
		return (this.L < p.L) ? -1 : ((this.L == p.L && this.x < p.x) ? -1 : 1);}
	}
	
	/************** FAST IO CODE FOLLOWS *****************/
	public static long nextLong() throws Throwable {
		long i = System.in.read();boolean neg = false;while (i < 33) i = System.in.read();if (i == 45) {neg=true;i=48;}i = i - 48;
		int j = System.in.read();while (j > 32) {i*=10;i+=j-48;j = System.in.read();}return (neg) ? -i : i;
	}
	public static int nextInt() throws Throwable {return (int)nextLong();}
	public static String next() throws Throwable {
		int i = 0; while (i < 33 && i != -1) i = System.in.read(); int cptr = 0; while (i >= 33) { in[cptr++] = (char)i; i = System.in.read();}
		return new String(in, 0,cptr);
	}
	/**** LIBRARIES ****/
	public static long gcdL(long a, long b) {while (b != 0) {long tmp = b;b = (a % b);a = tmp;}return a;}
	public static int gcd(int a, int b) {while (b != 0) {int tmp = b;b = (a % b);a = tmp;}return a;}
	public static int[] sieve(int LIM) {
		int i,count = 0;
		boolean [] b = new boolean [LIM];
		for (i = 2;i<LIM; ++i) if (!b[i]) {count++; for (int j = i<<1; j<LIM; j+=i) b[j] = true;}
		int [] primes = new int[count];
		for (i = 2,count=0;i<LIM;++i) if (!b[i]) primes[count++] = i;
		return primes;
	}
	public static int[] numPrimeFactors(int LIM) {
		int i,count = 0;
		int [] b = new int [LIM];
		for (i = 2;i<LIM; ++i) if (b[i] == 0) {count++; for (int j = i; j<LIM; j+=i) b[j]++;}
		return b;
	}
	public static StringBuilder stringFromArray(int [] a) {
		StringBuilder b = new StringBuilder(9*a.length);
		for (int i = 0; i<a.length; ++i) {
			if (i != 0) b = b.append(' ');
			b = b.append(a[i]);
		}
		return b;
	}
}

/* Full Problem Text:
  
Soon after the Chunga-Changa island was discovered, it started to acquire some forms of civilization and even market economy.
A new currency arose, colloquially called "chizhik".
One has to pay in chizhiks to buy a coconut now.
Sasha and Masha are about to buy some coconuts which are sold at price z chizhiks per coconut.
Sasha has x chizhiks, Masha has y chizhiks.
Each girl will buy as many coconuts as she can using only her money.
This way each girl will buy an integer non-negative number of coconuts.
The girls discussed their plans and found that the total number of coconuts they buy can increase (or decrease) if one of them gives several chizhiks to the other girl.
The chizhiks can't be split in parts, so the girls can only exchange with integer number of chizhiks.
Consider the following example.
Suppose Sasha has 5 chizhiks, Masha has 4 chizhiks, and the price for one coconut be 3 chizhiks.
If the girls don't exchange with chizhiks, they will buy 1 + 1 = 2 coconuts.
However, if, for example, Masha gives Sasha one chizhik, then Sasha will have 6 chizhiks, Masha will have 3 chizhiks, and the girls will buy 2 + 1 = 3 coconuts.
It is not that easy to live on the island now, so Sasha and Mash want to exchange with chizhiks in such a way that they will buy the maximum possible number of coconuts.
Nobody wants to have a debt, so among all possible ways to buy the maximum possible number of coconuts find such a way that minimizes the number of chizhiks one girl gives to the other (it is not important who will be the person giving the chizhiks).

 */