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