#include <iostream>
#include <stdio.h>
using namespace std;

struct point{
	int x;
	int y;
};



int R, T;
int state[32][32];//0: empty -1: 堆玻璃     >0: robots，是几就是第几个robot
point robotList[55];//robot所在的位置
point teleList[22];
bool destroyed[55];
bool used[22];//teleport是否已经使用

point pos;

int numRobot;
int numSteps;

int ABS(int a){
	if(a < 0) return -a;
	return a;
}

bool inRange(int x, int y){
	return x>=1 && x<=31 && y>=1 && y<=31;
}

bool inRange(point p){
	return inRange(p.x, p.y);
}

bool init(){
	scanf("%d%d", &R, &T);
	if(R == 0 && T == 0) return false;
	pos.x = 15;
	pos.y = 15;
	for(int i = 1; i <= 31; i++){
		for(int j = 1; j <= 31; j++){
			state[i][j] = 0;
		}
	}
	for(int i = 1; i <= R; i++){
		scanf("%d%d", &robotList[i].x, &robotList[i].y);
		state[robotList[i].x][robotList[i].y] = i;
		destroyed[i] = false;
	}
	for(int i = 1; i <= T; i++){
		scanf("%d%d", &teleList[i].x, &teleList[i].y);
		used[i] = false;
	}
	numRobot = R;
	numSteps = 0;
	return true;
}

void robotMove(int x, int y, int& rNum, int State[32][32], point rList[55], bool Destroyed[55]){
	for(int i = 1; i <= R; i++){
		if(Destroyed[i]) continue;
		//首先㞎原来的位置置零
		State[rList[i].x][rList[i].y] = 0;
		if(rList[i].x < x) rList[i].x++;
		else if(rList[i].x > x) rList[i].x--;
		if(rList[i].y < y) rList[i].y++;
		else if(rList[i].y > y) rList[i].y--;
	}
	for(int i = 1; i <= R; i++){
		if(Destroyed[i]) continue;
		if(State[rList[i].x][rList[i].y] == -1){
			Destroyed[i] = true;
			rNum --;
		}
		else if(State[rList[i].x][rList[i].y] == 0){
			State[rList[i].x][rList[i].y] = i;
		}
		else{
			int yuanI = State[rList[i].x][rList[i].y];
			Destroyed[yuanI] = true;
			Destroyed[i] = true;
			rNum -= 2;
			State[rList[i].x][rList[i].y] = -1;
		}
	}
}

int main() {
	int cases = 0;
	while(init()){
		cases ++;
		printf("Case %d:\n", cases);
		while(1){
			numSteps ++;
			bool buTele = false;
			int tempState[9][32][32];
			point tempRobotList[9][55];
			bool tempDestroyed[9][55];
			int tempNumRobot = 55;
			int tempMaxMinDist = 0;
			int argMove = -1;
			for(int moveNo = 0; moveNo < 9; moveNo++){
				int robotNum = numRobot;
				int rowOffset = moveNo/3-1, colOffset = moveNo%3-1;
				int newRow = pos.x+rowOffset, newCol = pos.y+colOffset;
				int tuiRow = newRow + rowOffset, tuiCol = newCol + colOffset;
				//判断移动是否合法
				bool debris = inRange(newRow, newCol) && inRange(tuiRow, tuiCol) && state[newRow][newCol] == -1 && state[tuiRow][tuiCol] != -1;
				bool hefa = (rowOffset==0 && colOffset==0) ||
						(inRange(newRow, newCol) && ((state[newRow][newCol] == 0) || debris));
				if(!hefa) continue;
				//复制现场
				for(int i = 0; i < 32; i++){
					for(int j = 0; j < 32; j++){
						tempState[moveNo][i][j] = state[i][j];
					}
				}
				for(int i = 1; i <= R; i++){
					tempRobotList[moveNo][i] = robotList[i];
					tempDestroyed[moveNo][i] = destroyed[i];
				}
				//如果是堆玻璃
				if(debris){
					int idxR = state[tuiRow][tuiCol];
					if(idxR > 0){
						robotNum --;
						tempDestroyed[moveNo][idxR] = true;
					}
					tempState[moveNo][tuiRow][tuiCol] = -1;
					tempState[moveNo][newRow][newCol] = 0;
				}

				//判断是否直接萎掉
				bool weidiao = false;
				for(int i = -1; i <= 1; i++){
					for(int j = -1; j <= 1; j++){
						if(inRange(newRow+i, newCol+j) && tempState[moveNo][newRow+i][newCol+j] > 0){
							weidiao = true;
							break;
						}
					}
					if(weidiao) break;
				}
				if(weidiao) continue;

				//至少没萎掉，所以不用用teleport了
				buTele = true;
				robotMove(newRow, newCol, robotNum, tempState[moveNo], tempRobotList[moveNo], tempDestroyed[moveNo]);
				int minDist = 200;
				for(int i = 1; i <= R; i++){
					if(tempDestroyed[moveNo][i]){
						continue;
					}
					int tempDist = ABS(newRow-tempRobotList[moveNo][i].x) + ABS(newCol-tempRobotList[moveNo][i].y);
					if(tempDist < minDist) minDist = tempDist;
				}
				if(robotNum < tempNumRobot || (robotNum == tempNumRobot && minDist > tempMaxMinDist)){
					tempMaxMinDist = minDist;
					tempNumRobot = robotNum;
					argMove = moveNo;
				}

			}
			if(buTele){
				//复制回原数据中
				numRobot = tempNumRobot;
				for(int i = 0; i < 32; i++){
					for(int j = 0; j < 32; j++){
						state[i][j] = tempState[argMove][i][j];
					}
				}
				for(int i = 1; i <= R; i++){
					robotList[i] = tempRobotList[argMove][i];
					destroyed[i] = tempDestroyed[argMove][i];
				}
				pos.x = pos.x+argMove/3-1, pos.y = pos.y+argMove%3-1;
				if(numRobot == 0){
					printf("Won game after making %d moves.\n", numSteps);
					printf("Final position: (%d,%d)\n", pos.x, pos.y);
					int debrisNum = 0;
					for(int i = 1; i < 32; i++){
						for(int j = 1; j < 32; j++){
							if(state[i][j] == -1) debrisNum ++;
						}
					}
					printf("Number of cells with debris: %d\n\n", debrisNum);
					break;
				}
				continue;
			}

			int TeleNum = -1;
			//首先确定tele的编号
			for(int i = 1; i <= T; i++){
				if(used[i]) continue;
				int nX = teleList[i].x, nY = teleList[i].y;
				if(state[nX][nY] != 0) continue;
				bool guadiao = false;
				for(int j = -1; j <= 1; j++){
					for(int k = -1; k <= 1; k++){
						if(inRange(nX+j, nY+k) && state[nX+j][nY+k] > 0){
							guadiao = true;
							break;
						}
					}
					if(guadiao) break;
				}
				if(guadiao) continue;
				TeleNum = i;
				used[i] = true;
				break;
			}
			if(TeleNum > 0){
				pos.x = teleList[TeleNum].x, pos.y = teleList[TeleNum].y;
				printf("Move %d: teleport to (%d,%d)\n", numSteps, pos.x, pos.y);
				robotMove(pos.x, pos.y, numRobot, state, robotList, destroyed);
				if(numRobot == 0){
					printf("Won game after making %d moves.\n", numSteps);
					printf("Final position: (%d,%d)\n", pos.x, pos.y);
					int debrisNum = 0;
					for(int i = 1; i < 32; i++){
						for(int j = 1; j < 32; j++){
							if(state[i][j] == -1) debrisNum ++;
						}
					}
					printf("Number of cells with debris: %d\n\n", debrisNum);
					break;
				}
			}
			else{
				//挫败了
				robotMove(pos.x, pos.y, numRobot, state, robotList, destroyed);
				printf("Lost game after making %d moves.\n", numSteps);
				printf("Final position: (%d,%d)\n", pos.x, pos.y);
				int debrisNum = 0;
				for(int i = 1; i < 32; i++){
					for(int j = 1; j < 32; j++){
						if(state[i][j] == -1) debrisNum ++;
					}
				}
				printf("Number of cells with debris: %d\n", debrisNum);
				printf("Number of robots remaining: %d\n\n", numRobot);
				break;
			}
		}
	}
	return 0;
}