import sys
import time
import random
import math
input = lambda: sys.stdin.readline().rstrip()

#  -----------------------  #

n, m = map(int, input().split())
ab = [tuple(map(int, input().split())) for _ in range(n)]
ab_set = set(ab)
ALP = 5
LIMIT = 0.8
START = time.time()

def calc_score(stations, root):
  ans = 0
  for i in range(1, n+m):
    u, v = root[i][1]-1, root[i-1][1]-1
    ut, vt = root[i][0], root[i-1][0]
    if ut == 1:
      if vt == 1:
        ans += ALP * ALP * math.sqrt((ab[u][0] - ab[v][0])**2 + (ab[u][1] - ab[v][1])**2)
      else:
        ans += ALP * math.sqrt((ab[u][0] - stations[v][0])**2 + (ab[u][1] - stations[v][1])**2)
    else:
      if vt == 1:
        ans += ALP * math.sqrt((stations[u][0] - ab[v][0])**2 + (stations[u][1] - ab[v][1])**2)
      else:
        ans += math.sqrt((stations[u][0] - stations[v][0])**2 + (stations[u][1] - stations[v][1])**2)
  
  v = root[-1][1]
  if root[-1][0] == 1:
    ans += ALP * ALP * math.sqrt((ab[0][0] - ab[v][0])**2 + (ab[0][1] - ab[v][1])**2)
  else:
    ans += ALP * math.sqrt((ab[0][0] - ab[v][0])**2 + (ab[0][1] - ab[v][1])**2)
  return ans

def make_stations():
  stations = set()
  while len(stations) < m:
    i, j = random.randint(0, 1000), random.randint(0, 1000)
    if (i, j) in ab_set:
      continue
    stations.add((i, j))
  return list(stations)

def make_root(stations):
  A = [(1, i, ab[i-1]) for i in range(1, n+1)]
  B = [(2, i, stations[i-1]) for i in range(1, m+1)]
  C = A[1:] + B

  c = []
  d = random.randint(50, 600)
  for i in range(1000//d+2):
    for j in range(1000//d+2):
      tmp = []
      for k in C:
        if d*i <= k[2][0] <= d*(i+1) and d*j <= k[2][1] <= d*(j+1):
          tmp.append(k)
      for t in tmp:
        C.remove(t) 
      tmp.sort(key=lambda x: x[2])
      c.extend(tmp)
  return A[:1] + c

vestscore = float('inf')
ans = []
while time.time() - START < LIMIT:
  stations = make_stations()
  root = make_root(stations)
  score = calc_score(stations, root)
  if score < vestscore:
    vestscore = score
    ans = [stations[:], root[:]]
for i in ans[0]:
  print(*i)
print(len(ans[1])+1)
for i in ans[1]:
  print(i[0], i[1])
print(1, 1)