import sys
import time
import random
import math

random.seed(42)

INF = 10**18

alpha = 5
alpha2 = alpha * alpha

def eprint(*args, **kwargs):
    print(*args, file=sys.stderr, **kwargs)

class TimeKeeper:
    """
    時間を管理するクラス
    時間制限を秒単位で指定してインスタンスをつくる
    """
 
    def __init__(self, time_threshold) -> None:
        self.start_time_ = time.time()
        self.time_threshold_ = time_threshold
 
    def isTimeOver(self) -> bool:
        """
        インスタンスを生成した時から指定した時間制限を超過したか判断する  
        超過している場合にTrue  
        """
        return time.time() - self.start_time_ - self.time_threshold_ >= 0
 
    def time_msec(self) -> int:
        """経過時間をミリ秒単位で返す"""
        return int((time.time() - self.start_time_) * 1000)

    def time_sec(self) -> int:
        """経過時間を秒単位で返す(time_msecの使用を推奨)"""
        return time.time()-self.start_time_

class Input:
    def __init__(self, N:int, M:int, ab:list) -> None:
        self.N = N
        self.M = M
        self.ab = ab

class Parser:

    def __init__(self, input_type:int):
        self.flag = input_type

    def parse(self):
        if self.flag == -1:
            inp:Input = self.parse_input()
        else:
            inp:Input = self.parse_input_file(self.flag)
        return inp
    
    def parse_input(self) -> Input:
        N,M = map(int,input().split())
        ab = [list(map(int,input().split())) for i in range(N)]
        return Input(N,M,ab)


    def parse_input_file(self,num) -> Input:
        cnt = str(num).zfill(4)
        PATH = f"./in/{cnt}.txt"
        with open(PATH) as f:
            l = [s.strip() for s in f.readlines()]
            N, M = map(int,l[0].split())
            ab = [list(map(int,s.split())) for s in l[1:]]
            return Input(N, M, ab)

class Transit:

    def __init__(self, id:int, x:int, y:int, type:int) -> None:
        """
        id:int id of planet or station
        x:int x coordinate
        y:int y coordinate
        type:int 1 planet, 2 station
        """
        self.id = id
        self.x = x
        self.y = y
        self.type = type

    def __str__(self) -> str:
        return f"({self.id},{self.x},{self.y},{self.type})"

class State:
    
    def __init__(self, order:list, q_planets:list, q_stations:list) -> None:
        """
        order:list visited order 
        q_stations:list[(int,int)] coordinates of space station
        """
        self.order = order
        self.q_planets = q_planets
        self.q_stations = q_stations
    
    def cal_dist(self, v1:Transit, v2:Transit) -> float:
        """
        return distance between v1 and v2 weighted by coefficient
        """
        x1,y1 = v1.x, v1.y
        x2,y2 = v2.x, v2.y
        coef = 1 # station to station
        if v1.type == 1 and v2.type == 1: coef = alpha2 # planet to planet
        elif v1.type == 2 or v2.type == 2: coef = alpha # planet to station or station to planet
        d = ((x1-x2)**2+(y1-y2)**2) * coef
        return d
    
    def cal_score(self):
        score = 0
        for i in range(len(self.order)-1):
            score += self.cal_dist(self.order[i], self.order[i+1])
        return int(pow(10,9)/(1000+score**0.5))
    
class Output:
    
    def __init__(self, state:State) -> None:
        self.order = state.order
        self.q_stations = state.q_stations

    def ans(self):
        for transition in self.q_stations:
            print(transition.x, transition.y)
        print(len(self.order))
        for transition in self.order:
            print(transition.type, transition.id+1)

class Solver:
    def __init__(self, state:State) -> None:
        self.state = state

    def solve(self):
        self.state.order.append(self.state.q_planets[0])
        visited = [0]*len(self.state.q_planets)
        visited[0] = 1
        now = self.state.q_planets[0]
        next = Transit(-1,-1,-1,-1)
        while sum(visited) < len(self.state.q_planets):
            d_min = INF
            for transtion in self.state.q_planets:
                if visited[transtion.id] == 1: continue
                d = self.state.cal_dist(now, transtion)
                if d_min > d:
                    d_min = d
                    next = transtion
            if now.type != 2: #station to stationを許可するときはこのif文を消す　要改善
                for transtion in self.state.q_stations:
                    if now == transtion: continue
                    d = self.state.cal_dist(now, transtion)
                    if d_min > d:
                        d_min = d
                        next = transtion
            now = next
            self.state.order.append(next)
            if next.type == 1:
                visited[next.id] = 1

        self.state.order.append(self.state.q_planets[0])
        return self.state

def main():

    parser = Parser(-1)
    input = parser.parse()
    
    q_planets = []
    for i in range(input.N):
        q_planets.append(Transit(id = i, x = input.ab[i][0], y = input.ab[i][1], type = 1))
    
    best_score = -1
    best_ans = None
    timeKeeper = TimeKeeper(0.83)
    while not timeKeeper.isTimeOver():
        order = []
        q_stations = []
        for i in range(input.M):
            q_stations.append(Transit(id = i,x = random.randrange(100,900),y = random.randrange(100,900),type = 2))
        state = State(order,q_planets,q_stations)
        solver = Solver(state)
        ans = solver.solve()
        score = ans.cal_score()
        eprint(score)
        if score > best_score:
            best_score = score
            best_ans = ans
    eprint(best_score)
    output = Output(best_ans)
    output.ans()


if __name__ == "__main__":
    main()