package main

import . "fmt"
import "math/rand"

const ALPHA = 5

func dist(a,b []int, i int, c,d []int, j int) int {
	dx := a[i] - c[j]
	dy := b[i] - d[j]
	return dx*dx + dy*dy
}

func main() {
	var n, m int
	Scan(&n, &m)
	a := make([]int, n)
	b := make([]int, n)
	for i := range a {
		Scan(&a[i],&b[i])
	}
	c := make([]int, m+1)
	d := make([]int, m+1)
	for i := range c {
		c[i] = (i%3+1)*250
		d[i] = (i/3+1)*250
	}
	c[m/2] = c[m]
	d[m/2] = d[m]
	c = c[:m]
	d = d[:m]
	
	path := make([][][]int, n)
	for i := range path {
		path[i] = make([][]int, n)
		for j := range path[i] {
			path[i][j] = []int{ 1e9,-1,-1 }
		}
	}
	for i := 0; i < n; i++ {
		for j := i+1; j < n; j++ {
			if i == j {
				continue
			}
			best := ALPHA*ALPHA*dist(a,b,i,a,b,j)
			st1,st2 := -1,-1
			for x := 0; x < m; x++ {
				tmp := ALPHA*dist(a,b,i,c,d,x) +
					ALPHA*dist(c,d,x,a,b,j)
				if tmp < best {
					best,st1,st2 = tmp,x,-1
				}
			}
			for x := 0; x < m; x++ {
				for y := 0; y < m; y++ {
					if x == y {
						continue
					}
					tmp := ALPHA*dist(a,b,i,c,d,x)+
						dist(c,d,x,c,d,y) +
						ALPHA*dist(c,d,y,a,b,j)
					if tmp < best {
						best,st1,st2 = tmp,x,y
					}
				}
			}
			rt := []int{best,st1,st2}
			path[i][j] = rt
			path[j][i] = rt
		}
	}
	
	p := []int{0}
	for i := 0; i < n; i++ {
		p = append(p, (i+1)%n)
	}
	
	calc := func() int {
		sc := 0
		for i := 0; i < n; i++ {
			sc += path[p[i]][p[i+1]][0]
		}
		return sc
	}
	
	bestSc := calc()
	bestP := make([]int, len(p))
	copy(bestP, p)

	for kk := 0; kk < 10; kk++ {
	
		for cc, changed := 0, true; changed && cc < 50; cc, changed = cc+1, false {
			// 2-opt ?
			for i := 1; i < n; i++ {
				for j := i+1; j < n; j++ {
					s0 := path[p[i-1]][p[i]][0] +
						path[p[j]][p[j+1]][0]
					s1 := path[p[i-1]][p[j]][0] +
						path[p[i]][p[j+1]][0]
					if s1 < s0 {
						for f,e := i,j; f < e; f,e=f+1,e-1 {
							p[f],p[e] = p[e],p[f]
						}
						changed = true
					}
				}
			}
			// 3-opt ?
			for i := 1; i < n; i++ {
				for j := i+1; j < n; j++ {
					for k := j+2; k < n; k++ {
						s0 := path[p[i-1]][p[i]][0] +
							path[p[j]][p[j+1]][0] +
							path[p[k]][p[k+1]][0]
						s1 := path[p[i-1]][p[j]][0] +
							path[p[i]][p[k]][0] +
							path[p[j+1]][p[k+1]][0]
						if s1 < s0 {
							for f,e := i,j; f < e; f,e=f+1,e-1 {
								p[f],p[e] = p[e],p[f]
							}
							for f,e := j+1,k; f < e; f,e=f+1,e-1 {
								p[f],p[e] = p[e],p[f]
							}
							changed = true
						}
					}
				}
			}
		}
		
		if sc := calc(); sc < bestSc {
			bestSc = sc
			copy(bestP, p)
		}

		rand.Shuffle(n-1, func(i, j int) {
			p[i+1],p[j+1] = p[j+1],p[i+1]
		})
	}
	
	p = bestP
		
	t := []int{1}
	r := []int{1}
	for i := 0; i < n; i++ {
		rt := path[p[i]][p[i+1]]
		if rt[1] >= 0 {
			t = append(t, 2)
			r = append(r, rt[1]+1)
		}
		if rt[2] >= 0 {
			t = append(t, 2)
			r = append(r, rt[2]+1)
		}
		t = append(t, 1)
		r = append(r, p[i+1]+1)
	}
	
	for i := range c {
		Println(c[i], d[i])
	}
	Println(len(t))
	for i := range t {
		Println(t[i], r[i])
	}
	
}