Merge pull request 'chore: fix dijkstra' (#17) from day17-enhance into main
Reviewed-on: #17
This commit is contained in:
commit
3c2ea4ed9e
139
aoc_test.go
139
aoc_test.go
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@ -1,6 +1,8 @@
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package aoc_test
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import (
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"fmt"
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"sort"
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"testing"
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"github.com/matryer/is"
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@ -79,15 +81,130 @@ func TestList(t *testing.T) {
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is.Equal(a, 5)
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}
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func TestGraph(t *testing.T) {
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g := aoc.Graph[int, uint](7)
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g.AddEdge(0, 1, 2)
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g.AddEdge(0, 2, 6)
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g.AddEdge(1, 3, 5)
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g.AddEdge(2, 3, 8)
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g.AddEdge(3, 4, 10)
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g.AddEdge(3, 5, 15)
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g.AddEdge(4, 6, 2)
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g.AddEdge(5, 6, 6)
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// g.Dijkstra(0)
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func TestPriorityQueue(t *testing.T) {
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is := is.New(t)
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type elem [2]int
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less := func(a, b elem) bool {
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return b[0] < a[0]
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}
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pq := aoc.PriorityQueue(less)
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pq.Enqueue(elem{1, 4})
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pq.Enqueue(elem{3, 2})
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pq.Enqueue(elem{2, 3})
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pq.Enqueue(elem{4, 1})
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v, ok := pq.Dequeue()
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is.True(ok)
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is.Equal(v, elem{4, 1})
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v, ok = pq.Dequeue()
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is.True(ok)
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is.Equal(v, elem{3, 2})
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v, ok = pq.Dequeue()
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is.True(ok)
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is.Equal(v, elem{2, 3})
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v, ok = pq.Dequeue()
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is.True(ok)
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is.Equal(v, elem{1, 4})
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v, ok = pq.Dequeue()
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is.True(!ok)
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is.Equal(v, elem{})
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}
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func TestSet(t *testing.T) {
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is := is.New(t)
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s := aoc.Set(1, 2, 3)
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is.True(!s.Has(0))
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is.True(s.Has(1))
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is.True(s.Has(2))
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is.True(s.Has(3))
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is.True(!s.Has(4))
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s.Add(4)
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is.True(s.Has(4))
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items := s.Items()
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sort.Ints(items)
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is.Equal(items, []int{1, 2, 3, 4})
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}
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// func TestGraph(t *testing.T) {
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// g := aoc.Graph[int, uint](7)
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// g.AddEdge(0, 1, 2)
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// g.AddEdge(0, 2, 6)
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// g.AddEdge(1, 3, 5)
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// g.AddEdge(2, 3, 8)
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// g.AddEdge(3, 4, 10)
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// g.AddEdge(3, 5, 15)
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// g.AddEdge(4, 6, 2)
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// g.AddEdge(5, 6, 6)
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// // g.Dijkstra(0)
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// }
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func ExamplePriorityQueue() {
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type memo struct {
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pt int
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score int
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}
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less := func(a, b memo) bool { return a.score < b.score }
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adj := map[int][][2]int{
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0: {{1, 2}, {2, 6}},
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1: {{3, 5}},
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2: {{3, 8}},
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3: {{4, 10}, {5, 15}},
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4: {{6, 2}},
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5: {{6, 6}},
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}
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pq := aoc.PriorityQueue(less)
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visited := aoc.Set([]int{}...)
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dist := aoc.DefaultMap[int](int(^uint(0) >> 1))
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dist.Set(0, 0)
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pq.Enqueue(memo{0, 0})
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for !pq.IsEmpty() {
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m, _ := pq.Dequeue()
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u := m.pt
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if visited.Has(u) {
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continue
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}
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visited.Add(u)
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du, _ := dist.Get(u)
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for _, edge := range adj[u] {
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v, w := edge[0], edge[1]
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dv, _ := dist.Get(v)
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if !visited.Has(v) && du+w < dv {
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dist.Set(v, du+w)
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pq.Enqueue(memo{v, du + w})
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}
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}
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}
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items := dist.Items()
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sort.Slice(items, func(i, j int) bool { return items[i].K < items[j].K })
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for _, v := range items {
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fmt.Printf("point %d is %d steps away.\n", v.K, v.V)
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}
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// Output:
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// point 0 is 0 steps away.
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// point 1 is 2 steps away.
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// point 2 is 6 steps away.
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// point 3 is 7 steps away.
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// point 4 is 17 steps away.
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// point 5 is 22 steps away.
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// point 6 is 19 steps away.
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}
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@ -30,7 +30,6 @@ func TestExample1(t *testing.T) {
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is.Equal(result.sum, 142)
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}
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func TestExample2(t *testing.T) {
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is := is.New(t)
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scan := bufio.NewScanner(bytes.NewReader(example2))
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@ -43,4 +43,3 @@ func TestSolution(t *testing.T) {
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is.Equal(result.valuePT1, 110407)
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is.Equal(result.valuePT2, 87273)
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}
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@ -32,15 +32,15 @@ func run(scan *bufio.Scanner) (*result, error) {
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options := make([]int, 2*(rows+cols)+2)
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i := 0
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for j:=0; j<=rows-1; j++ {
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for j := 0; j <= rows-1; j++ {
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options[i+0] = runCycle(m, ray{[2]int{j, -1}, RT})
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options[i+1] = runCycle(m, ray{[2]int{j, cols}, LF})
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i+=2
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i += 2
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}
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for j:=0; j<=cols-1; j++ {
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for j := 0; j <= cols-1; j++ {
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options[i+0] = runCycle(m, ray{[2]int{-1, j}, DN})
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options[i+1] = runCycle(m, ray{[2]int{rows, j}, UP})
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i+=2
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i += 2
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}
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// fmt.Println(options)
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@ -96,7 +96,6 @@ func (m *Map) Get(p [2]int) rune {
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return (*m)[p[0]][p[1]]
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}
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func runCycle(m Map, r ray) int {
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current := r
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225
day17/main.go
225
day17/main.go
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@ -4,9 +4,9 @@ import (
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"bufio"
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_ "embed"
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"fmt"
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"sort"
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aoc "go.sour.is/advent-of-code"
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"golang.org/x/exp/maps"
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)
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// var log = aoc.Log
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@ -21,7 +21,7 @@ type result struct {
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func (r result) String() string { return fmt.Sprintf("%#v", r) }
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func run(scan *bufio.Scanner) (*result, error) {
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var m Map
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var m aoc.Map[rune]
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for scan.Scan() {
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text := scan.Text()
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@ -35,180 +35,97 @@ func run(scan *bufio.Scanner) (*result, error) {
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return &result, nil
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}
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var (
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ZERO = point{0, 0}
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func search(m aoc.Map[rune], minSteps, maxSteps int) int {
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type direction int8
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type rotate int8
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UP = point{-1, 0}
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DN = point{1, 0}
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LF = point{0, -1}
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RT = point{0, 1}
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const (
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CW rotate = 1
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CCW rotate = -1
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)
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INF = int(^uint(0) >> 1)
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)
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var (
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U = aoc.Point{-1, 0}
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R = aoc.Point{0, 1}
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D = aoc.Point{1, 0}
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L = aoc.Point{0, -1}
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)
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type Map [][]rune
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var Directions = map[aoc.Point]direction{
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U: 0, // U
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R: 1, // R
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D: 2, // D
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L: 3, // L
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}
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var DirectionIDX = maps.Keys(Directions)
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func (m *Map) Get(p point) (point, int, bool) {
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if !m.Valid(p) {
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return [2]int{0, 0}, 0, false
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}
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return p, int((*m)[p[0]][p[1]] - '0'), true
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}
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func (m *Map) GetNeighbor(p point, d point) (point, int, bool) {
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return m.Get(p.add(d))
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}
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func (m *Map) Size() (int, int) {
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if m == nil || len(*m) == 0 {
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return 0, 0
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}
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return len(*m), len((*m)[0])
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}
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func (m *Map) Neighbors(p point) []point {
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var lis []point
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for _, d := range []point{UP, DN, LF, RT} {
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if p, _, ok := m.GetNeighbor(p, d); ok {
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lis = append(lis, p)
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}
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}
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return lis
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}
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func (m *Map) NeighborDirections(p point) []point {
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var lis []point
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for _, d := range []point{UP, DN, LF, RT} {
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if m.Valid(p.add(d)) {
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lis = append(lis, d)
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}
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}
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return lis
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}
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func (m *Map) Valid(p point) bool {
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rows, cols := m.Size()
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return p[0] >= 0 && p[0] < rows && p[1] >= 0 && p[1] < cols
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}
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target := aoc.Point{rows - 1, cols - 1}
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type memo struct {
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h int
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s int
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p point
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d point
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}
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func (memo) sort(a, b memo) bool {
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if a.h != b.h {
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return a.h < b.h
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type position struct {
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loc aoc.Point
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direction aoc.Point
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steps int
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}
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if a.s != b.s {
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return a.s < b.s
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step := func(p position) position {
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return position{p.loc.Add(p.direction), p.direction, p.steps + 1}
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}
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rotateAndStep := func(p position, towards rotate) position {
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d := DirectionIDX[(int8(Directions[p.direction])+int8(towards)+4)%4]
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return position{p.loc.Add(d), d, 1}
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}
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if a.p != b.p {
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return a.p.less(b.p)
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type memo struct {
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cost int
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position
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}
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less := func(a, b memo) bool {
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if a.cost != b.cost {
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return a.cost < b.cost
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}
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if a.position.loc != b.position.loc {
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return b.position.loc.Less(a.position.loc)
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}
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if a.position.direction != b.position.direction {
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return b.position.direction.Less(a.position.direction)
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}
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return b.steps < a.steps
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}
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return a.d.less(b.d)
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}
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type priorityQueue[T any, U []T] struct {
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elems U
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sort func(a, b T) bool
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}
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func PriorityQueue[T any, U []T](sort func(a, b T) bool) *priorityQueue[T, U] {
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return &priorityQueue[T, U]{sort: sort}
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}
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func (pq *priorityQueue[T, U]) Enqueue(elem T) {
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pq.elems = append(pq.elems, elem)
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sort.Slice(pq.elems, func(i, j int) bool { return pq.sort(pq.elems[i], pq.elems[j]) })
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}
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func (pq *priorityQueue[T, I]) IsEmpty() bool {
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return len(pq.elems) == 0
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}
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func (pq *priorityQueue[T, I]) Dequeue() (T, bool) {
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var elem T
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if pq.IsEmpty() {
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return elem, false
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}
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elem, pq.elems = pq.elems[0], pq.elems[1:]
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return elem, true
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}
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func heuristic(m Map, p point) int {
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rows, cols := m.Size()
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return rows - p[0] + cols - p[1]
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}
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func search(m Map, minSize, maxSize int) int {
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rows, cols := m.Size()
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END := point{rows - 1, cols - 1}
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visited := make(map[vector]int)
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pq := PriorityQueue(memo{}.sort)
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pq.Enqueue(memo{h: heuristic(m, point{0, 0}), p: point{0, 0}, d: DN})
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pq := aoc.PriorityQueue(less)
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pq.Enqueue(memo{position: position{direction: D}})
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pq.Enqueue(memo{position: position{direction: R}})
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visited := aoc.Set[position]()
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|
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for !pq.IsEmpty() {
|
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mem, _ := pq.Dequeue()
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fmt.Println(mem)
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if mem.h > dmap(visited, vector{mem.p[0], mem.p[1], mem.d[0], mem.d[1]}, INF) {
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current, _ := pq.Dequeue()
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|
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if current.loc == target && current.steps >= minSteps {
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return current.cost
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}
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seen := position{loc: current.loc, steps: current.steps}
|
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if visited.Has(seen) {
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continue
|
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}
|
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visited.Add(seen)
|
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|
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if mem.p == END {
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return mem.s
|
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if left := rotateAndStep(current.position, CCW); current.steps >= minSteps && m.Valid(left.loc) {
|
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_, cost, _ := m.Get(left.loc)
|
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pq.Enqueue(memo{cost: current.cost + int(cost-'0'), position: left})
|
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}
|
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|
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for _, nd := range m.NeighborDirections(mem.p) {
|
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if nd[0] == 0 && mem.d == RT || nd[1] == 0 && mem.d == DN {
|
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continue
|
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if right := rotateAndStep(current.position, CW); current.steps >= minSteps && m.Valid(right.loc) {
|
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_, cost, _ := m.Get(right.loc)
|
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pq.Enqueue(memo{cost: current.cost + int(cost-'0'), position: right})
|
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}
|
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|
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dscore := 0
|
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|
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for _, size := range irange(1, maxSize+1) {
|
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np := mem.p.add(nd.scale(size))
|
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_, s, ok := m.Get(np)
|
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|
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if !ok {
|
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break
|
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}
|
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|
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dscore += s
|
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pscore := mem.s + dscore
|
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|
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nh := heuristic(m, np) + pscore
|
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vec := vector{np[0], np[1], nd[0], nd[1]}
|
||||
|
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if size >= minSize && nh < dmap(visited, vec, INF) {
|
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pq.Enqueue(memo{nh, pscore, np, nd})
|
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visited[vec] = nh
|
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}
|
||||
}
|
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if forward := step(current.position); current.steps < maxSteps && m.Valid(forward.loc) {
|
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_, cost, _ := m.Get(forward.loc)
|
||||
pq.Enqueue(memo{cost: current.cost + int(cost-'0'), position: forward})
|
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}
|
||||
}
|
||||
|
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return 0
|
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return -1
|
||||
}
|
||||
|
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func dmap[K comparable, V any](m map[K]V, k K, d V) V {
|
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if v, ok := m[k]; ok {
|
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return v
|
||||
}
|
||||
return d
|
||||
}
|
||||
func irange(a, b int) []int {
|
||||
lis := make([]int, b-a)
|
||||
for i := range lis {
|
||||
lis[i] = i + a
|
||||
}
|
||||
return lis
|
||||
}
|
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|
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type point [2]int
|
||||
|
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func (p point) add(a point) point { return point{p[0] + a[0], p[1] + a[1]} }
|
||||
func (p point) scale(m int) point { return point{p[0] * m, p[1] * m} }
|
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func (p point) less(a point) bool { return p[0] < a[0] || p[1] < a[1] }
|
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|
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type vector [4]int
|
||||
|
|
|
@ -77,7 +77,7 @@ func fromColor(c string) aoc.Vector {
|
|||
}
|
||||
|
||||
func findArea(vecs []aoc.Vector) int {
|
||||
shoelace := []aoc.Point{{0,0}}
|
||||
shoelace := []aoc.Point{{0, 0}}
|
||||
borderLength := 0
|
||||
|
||||
for _, vec := range vecs {
|
||||
|
@ -87,4 +87,3 @@ func findArea(vecs []aoc.Vector) int {
|
|||
|
||||
return aoc.NumPoints(shoelace, borderLength)
|
||||
}
|
||||
|
||||
|
|
27
grids.go
27
grids.go
|
@ -17,6 +17,12 @@ func (p Point) Add(a Point) Point {
|
|||
func (p Point) Scale(m int) Point {
|
||||
return Point{p[0] * m, p[1] * m}
|
||||
}
|
||||
func (p Point) Less(b Point) bool {
|
||||
if p[0] != b[0] {
|
||||
return p[0] < b[0]
|
||||
}
|
||||
return p[1] < b[1]
|
||||
}
|
||||
|
||||
func Transpose[T any](matrix [][]T) [][]T {
|
||||
rows, cols := len(matrix), len(matrix[0])
|
||||
|
@ -49,3 +55,24 @@ func NumPoints(outline []Point, borderLength int) int {
|
|||
// pick's theorem - find the number of points in a shape given its area
|
||||
return (ABS(area) - borderLength/2 + 1) + borderLength
|
||||
}
|
||||
|
||||
type Map[T any] [][]T
|
||||
|
||||
func (m *Map[T]) Get(p Point) (Point, T, bool) {
|
||||
var zero T
|
||||
if !m.Valid(p) {
|
||||
return [2]int{0, 0}, zero, false
|
||||
}
|
||||
|
||||
return p, (*m)[p[0]][p[1]], true
|
||||
}
|
||||
func (m *Map[T]) Size() (int, int) {
|
||||
if m == nil || len(*m) == 0 {
|
||||
return 0, 0
|
||||
}
|
||||
return len(*m), len((*m)[0])
|
||||
}
|
||||
func (m *Map[T]) Valid(p Point) bool {
|
||||
rows, cols := m.Size()
|
||||
return p[0] >= 0 && p[0] < rows && p[1] >= 0 && p[1] < cols
|
||||
}
|
||||
|
|
|
@ -31,7 +31,6 @@ func Reverse[T any](arr []T) []T {
|
|||
return arr
|
||||
}
|
||||
|
||||
|
||||
func SliceMap[T, U any](fn func(T) U, in ...T) []U {
|
||||
lis := make([]U, len(in))
|
||||
for i := range lis {
|
||||
|
|
1
lists.go
1
lists.go
|
@ -2,7 +2,6 @@ package aoc
|
|||
|
||||
import "fmt"
|
||||
|
||||
|
||||
type Node[T any] struct {
|
||||
value T
|
||||
pos int
|
||||
|
|
|
@ -41,7 +41,6 @@ func Logf(format string, v ...any) {
|
|||
fmt.Fprintf(os.Stderr, format, v...)
|
||||
}
|
||||
|
||||
|
||||
func ReadStringToInts(fields []string) []int {
|
||||
return SliceMap(Atoi, fields...)
|
||||
}
|
||||
|
|
98
search.go
98
search.go
|
@ -4,100 +4,32 @@ import (
|
|||
"sort"
|
||||
)
|
||||
|
||||
type PQElem[T any, I integer] struct {
|
||||
Value T
|
||||
Priority I
|
||||
}
|
||||
type PQList[T any, I integer] []PQElem[T, I]
|
||||
|
||||
func (pq PQList[T, I]) Len() int {
|
||||
return len(pq)
|
||||
}
|
||||
func (pq PQList[T, I]) Less(i int, j int) bool {
|
||||
return pq[i].Priority < pq[j].Priority
|
||||
}
|
||||
func (pq PQList[T, I]) Swap(i int, j int) {
|
||||
pq[i], pq[j] = pq[j], pq[i]
|
||||
type priorityQueue[T any, U []T] struct {
|
||||
elems U
|
||||
less func(a, b T) bool
|
||||
}
|
||||
|
||||
var _ sort.Interface = (*PQList[rune, int])(nil)
|
||||
|
||||
type PriorityQueue[T any, I integer] struct {
|
||||
elem PQList[T, I]
|
||||
func PriorityQueue[T any, U []T](less func(a, b T) bool) *priorityQueue[T, U] {
|
||||
return &priorityQueue[T, U]{less: less}
|
||||
}
|
||||
|
||||
func (pq *PriorityQueue[T, I]) Enqueue(elem T, priority I) {
|
||||
pq.elem = append(pq.elem, PQElem[T, I]{elem, priority})
|
||||
sort.Sort(pq.elem)
|
||||
func (pq *priorityQueue[T, U]) Enqueue(elem T) {
|
||||
pq.elems = append(pq.elems, elem)
|
||||
sort.Slice(pq.elems, func(i, j int) bool { return pq.less(pq.elems[j], pq.elems[i]) })
|
||||
}
|
||||
func (pq *PriorityQueue[T, I]) IsEmpty() bool {
|
||||
return len(pq.elem) == 0
|
||||
func (pq *priorityQueue[T, I]) IsEmpty() bool {
|
||||
return len(pq.elems) == 0
|
||||
}
|
||||
func (pq *PriorityQueue[T, I]) Dequeue() (T, bool) {
|
||||
func (pq *priorityQueue[T, I]) Dequeue() (T, bool) {
|
||||
var elem T
|
||||
if pq.IsEmpty() {
|
||||
return elem, false
|
||||
}
|
||||
|
||||
elem, pq.elem = pq.elem[0].Value, pq.elem[1:]
|
||||
pq.elems, elem = pq.elems[:len(pq.elems)-1], pq.elems[len(pq.elems)-1]
|
||||
return elem, true
|
||||
}
|
||||
|
||||
type Vertex[V comparable, I integer] struct {
|
||||
to V
|
||||
score I
|
||||
}
|
||||
type graph[V comparable, I uinteger] struct {
|
||||
adj map[V][]Vertex[V, I]
|
||||
}
|
||||
|
||||
func Graph[V comparable, I uinteger](size int) *graph[V, I] {
|
||||
return &graph[V, I]{
|
||||
adj: make(map[V][]Vertex[V, I], size),
|
||||
}
|
||||
}
|
||||
func (g *graph[V, I]) AddEdge(u, v V, w I) {
|
||||
g.adj[u] = append(g.adj[u], Vertex[V, I]{to: v, score: w})
|
||||
g.adj[v] = append(g.adj[v], Vertex[V, I]{to: u, score: w})
|
||||
}
|
||||
func (g *graph[V, I]) Dijkstra(m interface{ Get() }, src V) map[V]I {
|
||||
pq := PriorityQueue[V, I]{}
|
||||
dist := make(map[V]I, len(g.adj))
|
||||
visited := make(map[V]bool, len(g.adj))
|
||||
var INF I
|
||||
INF = ^INF
|
||||
|
||||
pq.Enqueue(src, 0)
|
||||
dist[src] = 0
|
||||
|
||||
for !pq.IsEmpty() {
|
||||
u, _ := pq.Dequeue()
|
||||
|
||||
if _, ok := visited[u]; ok {
|
||||
continue
|
||||
}
|
||||
visited[u] = true
|
||||
|
||||
for _, v := range g.adj[u] {
|
||||
_, ok := visited[v.to]
|
||||
var du, dv I
|
||||
if d, inf := dist[u]; !inf {
|
||||
du = INF
|
||||
} else {
|
||||
du = d
|
||||
}
|
||||
if d, inf := dist[v.to]; !inf {
|
||||
dv = INF
|
||||
} else {
|
||||
dv = d
|
||||
}
|
||||
|
||||
if !ok && du+v.score < dv {
|
||||
dist[v.to] = du + v.score
|
||||
pq.Enqueue(v.to, du+v.score)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
return dist
|
||||
type DS[T comparable] struct {
|
||||
*priorityQueue[T, []T]
|
||||
*set[T]
|
||||
}
|
||||
|
|
59
set.go
Normal file
59
set.go
Normal file
|
@ -0,0 +1,59 @@
|
|||
package aoc
|
||||
|
||||
import "golang.org/x/exp/maps"
|
||||
|
||||
type set[T comparable] map[T]struct{}
|
||||
|
||||
func Set[T comparable](arr ...T) set[T] {
|
||||
m := make(set[T], len(arr))
|
||||
for _, a := range arr {
|
||||
m[a] = struct{}{}
|
||||
}
|
||||
return m
|
||||
}
|
||||
func (m *set[T]) Add(a T) {
|
||||
(*m)[a] = struct{}{}
|
||||
}
|
||||
func (m *set[T]) Items() []T {
|
||||
return maps.Keys(*m)
|
||||
}
|
||||
func (m *set[T]) Has(a T) bool {
|
||||
var ok bool
|
||||
_, ok = (*m)[a]
|
||||
return ok
|
||||
}
|
||||
|
||||
type defaultMap[K comparable, V any] struct {
|
||||
m map[K]V
|
||||
d V
|
||||
}
|
||||
|
||||
func DefaultMap[K comparable, V any](d V) *defaultMap[K, V] {
|
||||
return &defaultMap[K, V]{
|
||||
make(map[K]V),
|
||||
d,
|
||||
}
|
||||
}
|
||||
|
||||
func (m *defaultMap[K, V]) Set(k K, v V) {
|
||||
m.m[k] = v
|
||||
}
|
||||
func (m *defaultMap[K, V]) Get(k K) (V, bool) {
|
||||
if v, ok := m.m[k]; ok {
|
||||
return v, true
|
||||
}
|
||||
return m.d, false
|
||||
}
|
||||
|
||||
type pair[K, V any] struct {
|
||||
K K
|
||||
V V
|
||||
}
|
||||
|
||||
func (m *defaultMap[K, V]) Items() []pair[K, V] {
|
||||
var items = make([]pair[K, V], 0, len(m.m))
|
||||
for k, v := range m.m {
|
||||
items = append(items, pair[K, V]{k, v})
|
||||
}
|
||||
return items
|
||||
}
|
Loading…
Reference in New Issue
Block a user