Problem:
Score : 700 points

Problem Statement

There is a circle with a circumference of L.
Each point on the circumference has a coordinate value, which represents the arc length from a certain reference point clockwise to the point.
On this circumference, there are N ants.
These ants are numbered 1 through N in order of increasing coordinate, and ant i is at coordinate X_i.

The N ants have just started walking.
For each ant i, you are given the initial direction W_i. Ant i is initially walking clockwise if W_i is 1; counterclockwise if W_i is 2.
Every ant walks at a constant speed of 1 per second.
Sometimes, two ants bump into each other.
Each of these two ants will then turn around and start walking in the opposite direction.

For each ant, find its position after T seconds.

Constraints

All input values are integers.

1 \leq N \leq 10^5

1 \leq L \leq 10^9

1 \leq T \leq 10^9

0 \leq X_1 < X_2 < ... < X_N \leq L - 1

1 \leq W_i \leq 2

Input

The input is given from Standard Input in the following format:

N L T
X_1 W_1
X_2 W_2
:
X_N W_N

Output

Print N lines.
The i-th line should contain the coordinate of ant i after T seconds. Here, each coordinate must be between 0 and L-1, inclusive.

Sample Input 1

3 8 3
0 1
3 2
6 1

Sample Output 1

1
3
0

1.5 seconds after the ants start walking, ant 1 and 2 bump into each other at coordinate 1.5.
1 second after that, ant 1 and 3 bump into each other at coordinate 0.5.
0.5 seconds after that, that is, 3 seconds after the ants start walking, ants 1, 2 and 3 are at coordinates 1, 3 and 0, respectively.

Sample Input 2

4 20 9
7 2
9 1
12 1
18 1

Sample Output 2

7
18
18
1

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

/**
 * Created by kame on 2017/04/15.
 */
/**
 * Created by kame on 2017/04/15.
 */
import java.util.*;
public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int N=sc.nextInt();
        long L=sc.nextInt();
        long T=sc.nextInt();
        long[] X=new long[N];
        int[] W=new int[N];
        int down=0;
        int up=0;
        for(int i=0;i<N;i++){
            X[i]=sc.nextInt();
            W[i]=sc.nextInt();
            if(W[i]==1){
                down++;
            }else{
                up++;
            }
        }
        if(down==0){
            for(int i=0;i<N;i++){
                System.out.println((X[i]-(long)T)%(long)L);
            }
            return;
        }
        if(up==0){
            for(int i=0;i<N;i++){
                System.out.println((X[i]+(long)T)%(long)L);
            }
            return;
        }
        int mUp=0;
        int mDown=0;
        long[] Xup=new long[up];
        long[] Xdown=new long[down];
        for(int i=0;i<N;i++){
            if(W[i]==1){
                if(W[0]==1) {
                    Xdown[(down-mDown)%down] = X[i];
                }else{
                    Xdown[down-1-mDown] = X[i];
                }
                mDown++;
            }else{
                Xup[mUp]=X[i];
                mUp++;
            }
        }
        //二分探索
        long maxPos=1000000000;
        long minPos=0;
        long pos=500000000;
        while(true){
            long dis1=0;
            long dis2=0;
                dis1 += (pos / (long) down+1) * (L) - Xdown[(int) pos % down];
                dis1 += (pos / (long) up) * (L) + Xup[(int) pos % up];
                dis2 += ((pos+1) / (long) down+1) * (L) - Xdown[(int) (pos+1) % down];
                dis2 += ((pos+1) / (long) up) * (L) + Xup[(int) (pos+1) % up];
            if(dis1<=2*T&&2*T<dis2){
                break;
            }
            if(dis1>2*T){
                maxPos=pos;
                pos=(maxPos+minPos)/2;
                continue;
            }
            if(dis2<=2*T){
                minPos=pos;
                pos=(maxPos+minPos)/2;
                continue;
            }
            if(pos==0){
                pos=-1;
                break;
            }
        }
        pos++;
        int x0pos=0;
        boolean downfrag=true;
        if(pos==0){
            x0pos=(int)(X[0]+T*(2*W[0]-3));
        }else{

        if(W[0]==1){
            if((pos / (long) down+1) * (L) - Xdown[(int) pos % down]
                    +((pos-1) / (long) up) * (L) + Xup[(int) (pos-1) % up]<2*T){
                x0pos=(int)((Xdown[(int)(pos%down)]+T)%L);
                //下り便にいる
            }else{
                x0pos=(int)((Xup[(int)((pos-1)%up)]-T)%L);
                downfrag=false;
                //上り便にいる
            }
        }else{
            if(((pos-1) / (long) down+1) * (L) - Xdown[(int) (pos-1) % down]
                    +((pos) / (long) up) * (L) + Xup[(int) (pos) % up]<=2*T){
                x0pos=(int)((Xup[(int)((pos)%up)]-T)%L);
                downfrag=false;
                //上り便にいる
            }else{
                x0pos=(int)((Xdown[(int)((pos-1)%down)]+T)%L);
                //下り便にいる

            }

        }}
        for(int i=0;i<N;i++){
            if(W[i]==1){
                X[i]=(X[i]+(long)T-x0pos)%(long)L;
            }else{
                X[i]=(X[i]-(long)T-x0pos)%(long)L;
            }
            if(X[i]<0){
                X[i]+=L;
            }
        }
        Arrays.sort(X);
        StringBuilder sb=new StringBuilder();
        if(X[1]==0&&downfrag){
                for(int i=1;i<N;i++){
                    sb.append((X[i]+x0pos)%L);
                }
            sb.append((X[0]+x0pos)%L);


        }else{
            for(int i=0;i<N;i++){
                sb.append((X[i]+x0pos)%L);
            }
        }
        System.out.println(new String(sb));
    }

}