graphs #21
|
@ -29,10 +29,10 @@ func run(scan *bufio.Scanner) (*result, error) {
|
||||||
log("start day 17")
|
log("start day 17")
|
||||||
|
|
||||||
result := result{}
|
result := result{}
|
||||||
result.valuePT1 = search(m, 1, 3)
|
result.valuePT1 = search(m, 1, 3, seenFn)
|
||||||
log("result from part 1 = ", result.valuePT1)
|
log("result from part 1 = ", result.valuePT1)
|
||||||
|
|
||||||
result.valuePT2 = search(m, 4, 10)
|
result.valuePT2 = search(m, 4, 10, nil)
|
||||||
log("result from part 2 = ", result.valuePT2)
|
log("result from part 2 = ", result.valuePT2)
|
||||||
|
|
||||||
return &result, nil
|
return &result, nil
|
||||||
|
@ -90,6 +90,7 @@ type graph struct {
|
||||||
m Map
|
m Map
|
||||||
target Point
|
target Point
|
||||||
reads int
|
reads int
|
||||||
|
seenFn func(a position) position
|
||||||
}
|
}
|
||||||
|
|
||||||
// Neighbors returns valid steps from given position. if at target returns none.
|
// Neighbors returns valid steps from given position. if at target returns none.
|
||||||
|
@ -129,9 +130,9 @@ func (g *graph) Cost(a, b position) int16 {
|
||||||
}
|
}
|
||||||
|
|
||||||
// Potential calculates distance to target
|
// Potential calculates distance to target
|
||||||
func (g *graph) Potential(a, b position) int16 {
|
// func (g *graph) Potential(a, b position) int16 {
|
||||||
return aoc.ManhattanDistance(a.loc, b.loc)
|
// return aoc.ManhattanDistance(a.loc, b.loc)
|
||||||
}
|
// }
|
||||||
|
|
||||||
func (g *graph) Target(a position) bool {
|
func (g *graph) Target(a position) bool {
|
||||||
if a.loc == g.target && a.steps >= g.min {
|
if a.loc == g.target && a.steps >= g.min {
|
||||||
|
@ -143,22 +144,29 @@ func (g *graph) Target(a position) bool {
|
||||||
// Seen attempt at simplifying the seen to use horizontal/vertical and no steps.
|
// Seen attempt at simplifying the seen to use horizontal/vertical and no steps.
|
||||||
// It returns correct for part1 but not part 2..
|
// It returns correct for part1 but not part 2..
|
||||||
// func (g *graph) Seen(a position) position {
|
// func (g *graph) Seen(a position) position {
|
||||||
// if a.direction == U {
|
// if g.seenFn != nil {
|
||||||
// a.direction = D
|
// return g.seenFn(a)
|
||||||
// }
|
// }
|
||||||
// if a.direction == L {
|
|
||||||
// a.direction = R
|
|
||||||
// }
|
|
||||||
// a.steps = 0
|
|
||||||
// return a
|
// return a
|
||||||
// }
|
// }
|
||||||
|
|
||||||
func search(m Map, minSteps, maxSteps int8) int {
|
func seenFn(a position) position {
|
||||||
|
if a.direction == U {
|
||||||
|
a.direction = D
|
||||||
|
}
|
||||||
|
if a.direction == L {
|
||||||
|
a.direction = R
|
||||||
|
}
|
||||||
|
a.steps = 0
|
||||||
|
return a
|
||||||
|
}
|
||||||
|
|
||||||
|
func search(m Map, minSteps, maxSteps int8, seenFn func(position) position) int {
|
||||||
rows, cols := m.Size()
|
rows, cols := m.Size()
|
||||||
start := Point{}
|
start := Point{}
|
||||||
target := Point{rows - 1, cols - 1}
|
target := Point{rows - 1, cols - 1}
|
||||||
|
|
||||||
g := graph{min: minSteps, max: maxSteps, m: m, target: target}
|
g := graph{min: minSteps, max: maxSteps, m: m, target: target, seenFn: seenFn}
|
||||||
cost, path := aoc.FindPath[int16, position](&g, position{loc: start}, position{loc: target})
|
cost, path := aoc.FindPath[int16, position](&g, position{loc: start}, position{loc: target})
|
||||||
|
|
||||||
log("total map reads = ", g.reads)
|
log("total map reads = ", g.reads)
|
||||||
|
|
109
search.go
109
search.go
|
@ -1,7 +1,6 @@
|
||||||
package aoc
|
package aoc
|
||||||
|
|
||||||
import (
|
import (
|
||||||
"maps"
|
|
||||||
"sort"
|
"sort"
|
||||||
)
|
)
|
||||||
|
|
||||||
|
@ -74,9 +73,11 @@ func ManhattanDistance[T integer](a, b Point[T]) T {
|
||||||
type pather[C number, N comparable] interface {
|
type pather[C number, N comparable] interface {
|
||||||
Neighbors(N) []N
|
Neighbors(N) []N
|
||||||
Cost(a, b N) C
|
Cost(a, b N) C
|
||||||
Potential(a, b N) C
|
|
||||||
|
|
||||||
// OPTIONAL:
|
// OPTIONAL:
|
||||||
|
// Add heuristic for running as A* search.
|
||||||
|
// Potential(a, b N) C
|
||||||
|
|
||||||
// Seen modify value used by seen pruning.
|
// Seen modify value used by seen pruning.
|
||||||
// Seen(N) N
|
// Seen(N) N
|
||||||
|
|
||||||
|
@ -137,6 +138,11 @@ func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N) {
|
||||||
targetFn = s.Target
|
targetFn = s.Target
|
||||||
}
|
}
|
||||||
|
|
||||||
|
var potentialFn = func(a, b N) C { var zero C; return zero }
|
||||||
|
if s, ok := g.(interface{ Potential(a, b N) C }); ok {
|
||||||
|
potentialFn = s.Potential
|
||||||
|
}
|
||||||
|
|
||||||
for !pq.IsEmpty() {
|
for !pq.IsEmpty() {
|
||||||
current, _ := pq.Dequeue()
|
current, _ := pq.Dequeue()
|
||||||
cost, potential, n := current.cost, current.potential, current.position
|
cost, potential, n := current.cost, current.potential, current.position
|
||||||
|
@ -162,7 +168,7 @@ func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N) {
|
||||||
position: nb,
|
position: nb,
|
||||||
parent: ¤t,
|
parent: ¤t,
|
||||||
cost: cost,
|
cost: cost,
|
||||||
potential: g.Potential(nb, end),
|
potential: potentialFn(nb, end),
|
||||||
}
|
}
|
||||||
// check if path is in open list
|
// check if path is in open list
|
||||||
if _, open := closed[seen]; !open {
|
if _, open := closed[seen]; !open {
|
||||||
|
@ -173,100 +179,3 @@ func FindPath[C integer, N comparable](g pather[C, N], start, end N) (C, []N) {
|
||||||
}
|
}
|
||||||
return zero, nil
|
return zero, nil
|
||||||
}
|
}
|
||||||
|
|
||||||
// FindPath uses the A* path finding algorithem.
|
|
||||||
// g is the graph source that implements the pather interface.
|
|
||||||
//
|
|
||||||
// C is an numeric type for calculating cost/potential
|
|
||||||
// N is the node values. is comparable for storing in visited table for pruning.
|
|
||||||
//
|
|
||||||
// start, end are nodes that dileniate the start and end of the search path.
|
|
||||||
// The returned values are the calculated cost and the path taken from start to end.
|
|
||||||
func FindPaths[C integer, N comparable](g pather[C, N], start, end N) ([]C, [][]N) {
|
|
||||||
var zero C
|
|
||||||
// closed := make(map[N]bool)
|
|
||||||
|
|
||||||
type node struct {
|
|
||||||
cost C
|
|
||||||
potential C
|
|
||||||
parent *node
|
|
||||||
position N
|
|
||||||
closed map[N]bool
|
|
||||||
}
|
|
||||||
|
|
||||||
NewPath := func(n *node) []N {
|
|
||||||
var path []N
|
|
||||||
for n.parent != nil {
|
|
||||||
path = append(path, n.position)
|
|
||||||
n = n.parent
|
|
||||||
}
|
|
||||||
path = append(path, n.position)
|
|
||||||
|
|
||||||
Reverse(path)
|
|
||||||
return path
|
|
||||||
}
|
|
||||||
|
|
||||||
less := func(b, a node) bool {
|
|
||||||
return b.cost+b.potential < a.cost+a.potential
|
|
||||||
}
|
|
||||||
|
|
||||||
pq := PriorityQueue(less)
|
|
||||||
pq.Enqueue(node{position: start, closed: make(map[N]bool)})
|
|
||||||
|
|
||||||
defer func() {
|
|
||||||
Log("queue max depth = ", pq.maxDepth, "total enqueue = ", pq.totalEnqueue, "total dequeue = ", pq.totalDequeue)
|
|
||||||
}()
|
|
||||||
|
|
||||||
var seenFn = func(a N) N { return a }
|
|
||||||
if s, ok := g.(interface{ Seen(N) N }); ok {
|
|
||||||
seenFn = s.Seen
|
|
||||||
}
|
|
||||||
|
|
||||||
var targetFn = func(a N) bool { return true }
|
|
||||||
if s, ok := g.(interface{ Target(N) bool }); ok {
|
|
||||||
targetFn = s.Target
|
|
||||||
}
|
|
||||||
|
|
||||||
var paths [][]N
|
|
||||||
var costs []C
|
|
||||||
|
|
||||||
for !pq.IsEmpty() {
|
|
||||||
current, _ := pq.Dequeue()
|
|
||||||
cost, potential, n := current.cost, current.potential, current.position
|
|
||||||
|
|
||||||
seen := seenFn(n)
|
|
||||||
if current.closed[seen] {
|
|
||||||
continue
|
|
||||||
}
|
|
||||||
current.closed[seen] = true
|
|
||||||
|
|
||||||
if cost > 0 && potential == zero && cost > Max(0, costs...) && targetFn(current.position) {
|
|
||||||
paths = append([][]N(nil), NewPath(¤t))
|
|
||||||
costs = append([]C(nil), cost)
|
|
||||||
Log("new record = ", cost)
|
|
||||||
continue
|
|
||||||
}
|
|
||||||
|
|
||||||
for _, nb := range g.Neighbors(n) {
|
|
||||||
seen := seenFn(nb)
|
|
||||||
if current.closed[seen] {
|
|
||||||
continue
|
|
||||||
}
|
|
||||||
|
|
||||||
cost := g.Cost(n, nb) + current.cost
|
|
||||||
next := node{
|
|
||||||
position: nb,
|
|
||||||
parent: ¤t,
|
|
||||||
cost: cost,
|
|
||||||
potential: g.Potential(nb, end),
|
|
||||||
closed: maps.Clone(current.closed),
|
|
||||||
}
|
|
||||||
// check if path is in open list
|
|
||||||
if _, open := current.closed[seen]; !open {
|
|
||||||
next.closed[seen] = false // add to open list
|
|
||||||
pq.Enqueue(next)
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
return costs, paths
|
|
||||||
}
|
|
||||||
|
|
Loading…
Reference in New Issue
Block a user