package main

import (
	"bufio"
	"errors"
	"fmt"
	"log"
	"math"
	"os"
	"strconv"
	"strings"
)

var grid *Grid

// Pt 1
// 431 too high
func main() {
	input := stdinToStringSlice()
	grid = &Grid{}
	for _, v := range input {
		grid.addPoint(v)
	}
	last := len(grid.constellations)
	for grid.checkMerges() {
		fmt.Println("++ merge ++ ", len(grid.constellations))
		if len(grid.constellations) == last {
			break
		}
		last = len(grid.constellations)
	}
	fmt.Println("Points:", len(grid.points))
	fmt.Println("Constellations:", len(grid.constellations))
}

type Grid struct {
	points         []*Pos
	constellations []*Constellation
}

func (g *Grid) checkMerges() bool {
	for ci, c := range g.constellations {
		for _, p := range c.points {
			for wrki, wrk := range g.constellations {
				if wrki == ci {
					continue
				}
				if wrk.should(p) {
					g.merge(ci, wrki)
					g.remove(wrki)
					return true
				}
			}
		}
	}
	fmt.Println("Nothing merged")
	return false
}

func (g *Grid) addPoint(inp string) {
	pts := strings.Split(inp, ",")
	pt := &Pos{
		x: atoi(pts[0]),
		y: atoi(pts[1]),
		z: atoi(pts[2]),
		t: atoi(pts[3]),
	}
	g.points = append(g.points, pt)

	// Check if this point is within 3 from any other points
	cIdx := -1
	var mergedIdx []int
	for i, v := range g.constellations {
		if v.should(pt) {
			if cIdx >= 0 {
				g.merge(cIdx, i)
				mergedIdx = append(mergedIdx, i)
			} else {
				cIdx = i
				g.constellations[cIdx].add(pt)
			}
		}
	}
	for i := range mergedIdx {
		g.remove(i)
	}
	if cIdx == -1 {
		c := &Constellation{}
		c.add(pt)
		g.constellations = append(g.constellations, c)
	}
}

func (g *Grid) merge(c1Idx, c2Idx int) error {
	fmt.Println("  Merging", c1Idx, c2Idx)
	if c1Idx >= len(g.constellations) || c2Idx >= len(g.constellations) {
		return errors.New("Invalid Constellation Index")
	}
	for _, v := range g.constellations[c2Idx].points {
		g.constellations[c1Idx].add(v)
	}
	return nil
}

func (g *Grid) remove(remIdx int) error {
	if remIdx >= len(g.constellations) {
		return errors.New("Invalid Constellation Index")
	}
	g.constellations = append(g.constellations[:remIdx], g.constellations[remIdx+1:]...)
	return nil
}

type Constellation struct {
	points []*Pos
}

func (c *Constellation) should(p *Pos) bool {
	for _, v := range c.points {
		if v.to(p) <= 3 {
			return true
		}
	}
	return false
}

func (c *Constellation) add(p *Pos) {
	p.constellation = c
	c.points = append(c.points, p)
}

type Pos struct {
	x, y, z, t    int
	constellation *Constellation
}

func (p *Pos) to(p2 *Pos) int {
	xs := math.Abs(float64(p.x) - float64(p2.x))
	ys := math.Abs(float64(p.y) - float64(p2.y))
	zs := math.Abs(float64(p.z) - float64(p2.z))
	ts := math.Abs(float64(p.t) - float64(p2.t))
	return int(xs + ys + zs + ts)
}

func stdinToStringSlice() []string {
	var input []string
	scanner := bufio.NewScanner(os.Stdin)
	for scanner.Scan() {
		input = append(input, scanner.Text())
	}
	return input
}

func atoi(i string) int {
	var ret int
	var err error
	if ret, err = strconv.Atoi(i); err != nil {
		log.Fatal("Invalid Atoi: " + i)
	}
	return ret
}