day21: saturation logic, but removing points to early

day21/notes.org

@@ -39,3 +39,52 @@ my input is 131 chars of width.
 so neighboring are necessarily of different phase.
 could compute phase of (0,0)
 and adjust from that
+** TODO remake 'ReachableBySteps' into 'CountReachableBySteps' returning int
+** TODO make it take 'isInitialCountOdd' - to know phase of {0,0} field
+current phase can be determined by initial phase and current N
+
+if initial count is odd, and now it's odd number, we made even iterations, so (0,0) is in even state
+if initial count is even, and now it's even number, we made even iterations, so (0,0) is in even state
+
+** DONE make neighbors take set of saturated fields
+and not produce points on those fields
+** DONE for field calculate what would be amount of points in each phase
+...........
+.....###.#.
+.###.##..#.
+..#.#...#..
+....#.#....
+.##..S####.
+.##..#...#.
+.......##..
+.##.#.####.
+.##..##.##.
+...........
+*** getting 39 and 42
+let's check
+42 is even?
+*** hmmm
+EOEOEOEOEOE
+OEOEO###O#O
+E###E##OE#E
+OE#E#EOE#EO
+EOEO#O#OEOE
+O##EOE####O
+E##OE#EOE#E
+OEOEOEO##EO
+E##O#O####E
+O##EO##E##O
+EOEOEOEOEOE
+*** yes, sounds good
+
+
+** TODO after getting all new points. get coords of all fields we're working on.
+( there already should be no points in saturated fields )
+for each such field, check if it is saturated.
+
+- can be done by comparing the phase with amount of points on saturated
+
+if field saturated - add the coord into set
+and remove all the points
+** TODO on the last step, when n is 0
+return len(startingAt) + (all saturated fields) * (amount of elems in their phase)

day21/stepCounter.go

@@ -7,12 +7,15 @@ import (
 	"strings"
 )
 
-func Run() int {
+func Run() (result int) {
 	fmt.Print("hello day21")
 	filename := "day21/example"
 	field := ReadField(filename)
 	log.Print(field)
 
+	initialSaturatedFields := make(map[Coord]any)
+	log.Print(initialSaturatedFields)
+
 	// for i := 6; i <= 10; i++ {
 	// 	reachableBySteps := field.ReachableBySteps(i, map[Coord]any{
 	// 		Coord{Row: field.RowStart, Col: field.ColStart}: struct{}{},
@@ -22,14 +25,19 @@ func Run() int {
 	// 	field.PrintCoord(reachableBySteps, 1)
 	// }
 
-	steps := 100 
+	steps := 50
-	reachableBySteps := field.ReachableBySteps(steps, map[FieldPoint]any{
+	reachableBySteps := field.ReachableBySteps(
-		FieldPoint{
+		steps,
-			InField: Coord{Row: field.RowStart, Col: field.ColStart},
+		map[FieldPoint]any{
-		}: struct{}{},
+			FieldPoint{
-	})
+				InField: Coord{Row: field.RowStart, Col: field.ColStart},
+			}: struct{}{}},
+		make(map[Coord]any),
+		steps)
+	result = reachableBySteps
+	log.Print("reachable after steps : ", steps, result)
 
-	return len(reachableBySteps)
+	return result
 }
 
 // let's do dijkstra?
@@ -38,8 +46,9 @@ func Run() int {
 // OR. just breath first traversal
 
 type Field struct {
-	RowStart, ColStart int
+	RowStart, ColStart                    int
-	symbols            [][]rune
+	symbols                               [][]rune
+	SaturatedEvenCount, SaturatedOddCount int
 }
 
 type Coord struct {
@@ -51,31 +60,86 @@ type FieldPoint struct {
 	MetaField Coord
 }
 
-func (f Field) ReachableBySteps(n int, startingAt map[FieldPoint]any) map[FieldPoint]any {
+func (f Field) ReachableBySteps(n int, startingAt map[FieldPoint]any, saturatedFields map[Coord]any, initialSteps int) (countReachable int) {
 	if n%100 == 0 {
 		log.Println("going step: ", n)
 	}
 	if n == 0 { 
-		return startingAt
+		sizeOfUnsaturated := len(startingAt)
+		sizeOfSaturated := 0
+		// log.Printf("> before adding saturated fields. central is in even %t\n", CentralFieldIsInEven(initialSteps, n))
+		for saturatedField := range saturatedFields {
+			isEven := FieldIsInEven(initialSteps, n, saturatedField)
+			// log.Printf("> adding saturated field %+v. it is in even %t\n", saturatedField, isEven)
+			if isEven {
+				sizeOfSaturated += f.SaturatedEvenCount
+			} else {
+				sizeOfSaturated += f.SaturatedOddCount
+			}
+		}
+
+		return sizeOfUnsaturated
 	}
 	// else collect directly available
 
 	oneStepExpanded := make(map[FieldPoint]any)
 	for cur := range startingAt {
-		for _, neighbor := range f.Neighbors(cur) {
+		for _, neighbor := range f.Neighbors(cur, saturatedFields) {
 			oneStepExpanded[neighbor] = struct{}{}
 		}
 	}
 
-	if n < 4 {
+	metaFields := make(map[Coord]int)
-		log.Print("reachable after steps : ", n, len(oneStepExpanded))
+	for next := range oneStepExpanded {
-		f.PrintCoord(oneStepExpanded, 5)
+		metaFields[next.MetaField] += 1
 	}
 
-	return f.ReachableBySteps(n-1, oneStepExpanded)
+	for workedUponFieldCoord, amount := range metaFields {
+		isEven := FieldIsInEven(initialSteps, n, workedUponFieldCoord)
+		if workedUponFieldCoord.Col == 0 && workedUponFieldCoord.Row == 0 {
+			log.Printf("checking %+v : %d as worked fields for saturation. isEven %t", workedUponFieldCoord, amount, isEven)
+		}
+		if isEven && amount == f.SaturatedEvenCount {
+			log.Printf(">>> adding %+v to saturated, with amount %d\n", workedUponFieldCoord, amount)
+			saturatedFields[workedUponFieldCoord] = struct{}{}
+		}
+		if !isEven && amount == f.SaturatedOddCount {
+			log.Printf(">>> adding %+v to saturated, with amount %d\n", workedUponFieldCoord, amount)
+			saturatedFields[workedUponFieldCoord] = struct{}{}
+		}
+	}
+
+	for point := range oneStepExpanded {
+		_, fromSaturated := saturatedFields[point.MetaField]
+		if fromSaturated {
+			delete(oneStepExpanded, point)
+		}
+	}
+
+	// if n < 4 {
+	// 	log.Print("reachable after steps : ", n, len(oneStepExpanded))
+	// 	f.PrintCoord(oneStepExpanded, 5)
+	// }
+
+	return f.ReachableBySteps(n-1, oneStepExpanded, saturatedFields, initialSteps)
 }
 
-func (f Field) Neighbors(c FieldPoint) (resut []FieldPoint) {
+func CentralFieldIsInEven(initialSteps, currentSteps int) bool {
+	// off by one here because on initial step we first do 'neighbors' then comparicons
+	return (initialSteps-currentSteps)%2 != 0
+}
+
+func FieldIsInEven(initialSteps, currentSteps int, metaCoord Coord) bool {
+	centralIsInEven := CentralFieldIsInEven(initialSteps, currentSteps)
+	fieldIsInSyncWithCentral := (metaCoord.Col+metaCoord.Row)%2 == 0
+	if fieldIsInSyncWithCentral {
+		return centralIsInEven
+	} else {
+		return !centralIsInEven
+	}
+}
+
+func (f Field) Neighbors(c FieldPoint, saturatedFields map[Coord]any) (resut []FieldPoint) {
 	closeCoords := []FieldPoint{
 		{InField: Coord{Row: c.InField.Row + 1, Col: c.InField.Col}, MetaField: c.MetaField},
 		{InField: Coord{Row: c.InField.Row - 1, Col: c.InField.Col}, MetaField: c.MetaField},
@@ -111,11 +175,10 @@ func (f Field) Neighbors(c FieldPoint) (resut []FieldPoint) {
 	for _, close := range closeCoords {
 		if f.ValidCoord(close.InField.Row, close.InField.Col) {
 			symb := f.symbols[close.InField.Row][close.InField.Col]
-			if symb == '.' || symb == 'S' {
+			_, fieldIsAlreadySaturated := saturatedFields[close.MetaField]
+			if (symb == '.' || symb == 'S') && !fieldIsAlreadySaturated {
 				resut = append(resut, close)
-
 			}
-
 		}
 	}
 
@@ -163,6 +226,9 @@ func ReadField(filename string) (result Field) {
 		}
 	}
 	result.symbols = rows
+	odd, even := result.PointsInEachPhase()
+	result.SaturatedEvenCount = even
+	result.SaturatedOddCount = odd
 	return
 }
 
@@ -193,3 +259,30 @@ func (f Field) PrintCoord(coords map[FieldPoint]any, expandByField int) {
 
 	return
 }
+
+// if the field is fully saturated, what is amount of 'visited' points?
+// odd - meaning one step around 'S', even - meaning with standing on 'S'
+func (f Field) PointsInEachPhase() (pointsIfOddPhase, pointsIfEvenPhase int) {
+	remainderOfEvenPhase := (f.RowStart + f.ColStart) % 2
+	text := "\n"
+	for i, row := range f.symbols {
+		for j, cell := range row {
+			if cell != '#' {
+				if (i+j)%2 == remainderOfEvenPhase {
+					pointsIfEvenPhase += 1
+					text += "E"
+				} else {
+					pointsIfOddPhase += 1
+					text += "O"
+				}
+			} else {
+				text += "#"
+			}
+		}
+		text += "\n"
+	}
+	fmt.Println(text)
+	log.Printf("calculating points in even and odd phases", pointsIfEvenPhase, pointsIfOddPhase)
+
+	return
+}