This commit is contained in:
alexchao26
2024-08-18 12:53:28 -04:00
parent f3df3658a4
commit b64ac3491a
2 changed files with 299 additions and 0 deletions
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package main
import (
_ "embed"
"flag"
"fmt"
"strings"
"github.com/alexchao26/advent-of-code-go/cast"
"github.com/alexchao26/advent-of-code-go/util"
)
//go:embed input.txt
var input string
func init() {
// do this in init (not main) so test file has same input
input = strings.TrimRight(input, "\n")
if len(input) == 0 {
panic("empty input.txt file")
}
}
func main() {
var part int
flag.IntVar(&part, "part", 1, "part 1 or 2")
flag.Parse()
fmt.Println("Running part", part)
if part == 1 {
ans := part1(input, [2]float64{200000000000000, 400000000000000})
util.CopyToClipboard(fmt.Sprintf("%v", ans))
fmt.Println("Output:", ans)
} else {
ans := part2(input)
util.CopyToClipboard(fmt.Sprintf("%v", ans))
fmt.Println("Output:", ans)
}
}
func part1(input string, testRange [2]float64) int {
hailstones := parseInput(input)
ans := 0
// only move forward (per the velocity)
for i, hs1 := range hailstones {
for _, hs2 := range hailstones[i+1:] {
intersection := getIntersectingCoordinates(hs1, hs2)
if intersection == nil {
continue
}
// ensure intersection is in the right direction
// solve for time to reach intersection?
if solveForTimeToReachPoint(hs1, intersection) < 0 || solveForTimeToReachPoint(hs2, intersection) < 0 {
continue
}
if testRange[0] <= intersection[0] && intersection[0] <= testRange[1] &&
testRange[0] <= intersection[1] && intersection[1] <= testRange[1] {
ans++
}
}
}
return ans
}
// does not check for if the lines are the same line
func areHailstonesParallel(hs1, hs2 hailstone) bool {
if hs1.hasVerticalPath && hs2.hasVerticalPath {
return true
}
if hs1.hasVerticalPath || hs2.hasVerticalPath {
return false
}
return hs1.slope == hs2.slope
}
// returns nil slice if the lines do not intersect
func getIntersectingCoordinates(hs1, hs2 hailstone) []float64 {
if areHailstonesParallel(hs1, hs2) {
return nil
}
// assume not the exact same line and that there is only one intersection point
// point-slope line formula
// y - y1 = m(x - x1)
x := (hs1.slope*hs1.x - hs2.slope*hs2.x + hs2.y - hs1.y) / (hs1.slope - hs2.slope)
y := hs1.slope*(x-hs1.x) + hs1.y
return []float64{x, y}
}
func solveForTimeToReachPoint(hs hailstone, point []float64) float64 {
if len(point) != 2 {
panic("expected len == 2 for point slice")
}
// x = vx * t + x0
// t = (intersection_x - x_0) / vx
t := (point[0] - hs.x) / hs.vx
return t
}
func part2(input string) int {
hailstones := parseInput(input)
var possibleRockVelX, possibleRockVelY, possibleRockVelZ []int
for i, hs1 := range hailstones {
for _, hs2 := range hailstones[i+1:] {
if hs1.vx == hs2.vx {
possibilities := getPossibleVelocities(int(hs2.x), int(hs1.x), int(hs1.vx))
if len(possibleRockVelX) == 0 {
possibleRockVelX = possibilities
} else {
possibleRockVelX = getIntersection(possibleRockVelX, possibilities)
}
}
if hs1.vy == hs2.vy {
possibilities := getPossibleVelocities(int(hs2.y), int(hs1.y), int(hs1.vy))
if len(possibleRockVelY) == 0 {
possibleRockVelY = possibilities
} else {
possibleRockVelY = getIntersection(possibleRockVelY, possibilities)
}
}
if hs1.vz == hs2.vz {
possibilities := getPossibleVelocities(int(hs2.z), int(hs1.z), int(hs1.vz))
if len(possibleRockVelZ) == 0 {
possibleRockVelZ = possibilities
} else {
possibleRockVelZ = getIntersection(possibleRockVelZ, possibilities)
}
}
}
}
if len(possibleRockVelX) == 1 && len(possibleRockVelY) == 1 && len(possibleRockVelZ) == 1 {
rockVelX := float64(possibleRockVelX[0])
rockVelY := float64(possibleRockVelY[0])
rockVelZ := float64(possibleRockVelZ[0])
hailstoneA, hailstoneB := hailstones[0], hailstones[1]
mA := (hailstoneA.vy - rockVelY) / (hailstoneA.vx - rockVelX)
mB := (hailstoneB.vy - rockVelY) / (hailstoneB.vx - rockVelX)
cA := hailstoneA.y - (mA * hailstoneA.x)
cB := hailstoneB.y - (mB * hailstoneB.x)
rockX := (cB - cA) / (mA - mB)
rockY := mA*rockX + cA
time := (rockX - hailstoneA.x) / (hailstoneA.vx - rockVelX)
rockZ := hailstoneA.z + (hailstoneA.vz-rockVelZ)*time
return int(rockX + rockY + rockZ)
}
panic("more than one possible velocity in a direction")
}
func getPossibleVelocities(pos1, pos2 int, vel int) []int {
match := []int{}
for possibleVel := -1000; possibleVel < 1000; possibleVel++ {
if possibleVel != vel && (pos1-pos2)%(possibleVel-vel) == 0 {
match = append(match, possibleVel)
}
}
return match
}
func getIntersection(sli1, sli2 []int) []int {
result := []int{}
map2 := map[int]bool{}
for _, val := range sli2 {
map2[val] = true
}
for _, val := range sli1 {
if map2[val] {
result = append(result, val)
}
}
return result
}
func parseInput(input string) (ans []hailstone) {
for _, line := range strings.Split(input, "\n") {
positions := []float64{}
vels := []float64{}
line = strings.ReplaceAll(line, ",", "")
parts := strings.Split(line, " @ ")
for _, posStr := range strings.Fields(parts[0]) {
positions = append(positions, float64(cast.ToInt(posStr)))
}
for _, velStr := range strings.Fields(parts[1]) {
vels = append(vels, float64(cast.ToInt(velStr)))
}
ans = append(ans, makeHailstone(positions[0], positions[1], positions[2], vels[0], vels[1], vels[2]))
}
return ans
}
type hailstone struct {
x, y, z float64
vx, vy, vz float64
hasVerticalPath bool
slope float64
}
func makeHailstone(x, y, z, vx, vy, vz float64) hailstone {
hs := hailstone{
x: x,
y: y,
z: z,
vx: vx,
vy: vy,
vz: vz,
hasVerticalPath: vx == 0,
slope: 0,
}
if !hs.hasVerticalPath {
hs.slope = vy / vx
}
return hs
}
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package main
import (
"testing"
)
var example = `19, 13, 30 @ -2, 1, -2
18, 19, 22 @ -1, -1, -2
20, 25, 34 @ -2, -2, -4
12, 31, 28 @ -1, -2, -1
20, 19, 15 @ 1, -5, -3`
func Test_part1(t *testing.T) {
tests := []struct {
name string
input string
testRange [2]float64
want int
}{
{
name: "example",
input: example,
testRange: [2]float64{7, 27},
want: 2,
},
{
name: "actual",
input: input,
testRange: [2]float64{200000000000000, 400000000000000},
want: 31921,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
if got := part1(tt.input, tt.testRange); got != tt.want {
t.Errorf("part1() = %v, want %v", got, tt.want)
}
})
}
}
func Test_part2(t *testing.T) {
tests := []struct {
name string
input string
want int
}{
// example input is not big enough for this logic to work
// {
// name: "example",
// input: example,
// want: 47,
// },
{
name: "actual",
input: input,
want: 761691907059631,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
if got := part2(tt.input); got != tt.want {
t.Errorf("part2() = %v, want %v", got, tt.want)
}
})
}
}