import sys
import time
import random
from heapq import heapify, heappush, heappop
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 = 0.85
START = time.time()

def calc_score(root):
  ans = 0
  E = []
  for i in range(1, n):
    u, v = root[i][1]-1, root[i-1][1]-1
    tmp = (ab[u][0] - ab[v][0])**2 + (ab[u][1] - ab[v][1])**2
    heappush(E, (tmp, i))
    if len(E) > 8:
      heappop(E)
    ans += ALP * ALP * tmp

  v = root[-1][1]
  tmp = (ab[0][0] - ab[v][0])**2 + (ab[0][1] - ab[v][1])**2
  ans += ALP * ALP * tmp
  heappush(E, (tmp, n))
  if len(E) > 8:
    heappop(E)

  stations = []
  E.sort(key=lambda x: x[1])
  for c,i in E:
    if i == n:
      v = root[-1][1]-1
      stations.append(((ab[0][0] + ab[v][0])//2, (ab[0][1] + ab[v][1])//2))
      ans -= c * ALP * ALP
      ans += c * ALP
    else:
      u, v = root[i][1]-1, root[i-1][1]-1
      stations.append(((ab[u][0] + ab[v][0])//2, (ab[u][1] + ab[v][1])//2))
      ans -= c * ALP * ALP
      ans += c * ALP

  for i in range(8):
    if E[i][1] + i > len(root):
      root.append((E[i][1]+i, (2, i+1, 0)))
    else:
      root.insert(E[i][1]+i, (2, i+1, 0))
  return root, stations, ans

def make_stations():
  stations = []
  return stations

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

  c = []
  d = random.randint(80, 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')
st, ro = [], []
while time.time() - START < LIMIT:
  root = make_root()
  root, stations, score = calc_score(root)
  if score < vestscore:
    vestscore = score
    st = stations[:]
    ro = root[:]
for i,j in st:
  print(i, j)
print(len(ro)+1)
for i,j,_ in ro:
  print(i, j)
print(1, 1)