day20, part2 done with online LCM calculator
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142
day20/looping.go
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142
day20/looping.go
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package day20
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import (
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"cmp"
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"log"
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"slices"
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)
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func TransitiveOutputs(from string, allModules map[string]Module, visited map[string]any) map[string]any {
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// log.Printf("looking for transitive children of %s\n", from)
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_, alreadyProcessed := visited[from]
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if alreadyProcessed {
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return visited
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}
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module, found := allModules[from]
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if !found {
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return visited
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}
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visited[from] = struct{}{}
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children := module.Outputs()
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for _, output := range children {
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TransitiveOutputs(output, allModules, visited)
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}
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delete(visited, "th")
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// for key, _ := range visited {
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// result = append(result, key)
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// }
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return visited
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}
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func FindSubGraphLoopLength(subgraph map[string]any, allModules map[string]Module, monitorOutputsOf string) (fromStep, toStep int, monitoredPulses map[int][]PulseType) {
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step := 1
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seenSubgraphStates := make(map[string]int)
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monitoredPulses = make(map[int][]PulseType)
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for {
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subgraphModules := make(map[string]Module)
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for key, _ := range subgraph {
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subgraphModules[key] = allModules[key]
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}
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subgraphState := ModulesState(subgraphModules)
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// log.Printf("looping %d. state is %s", step, subgraphState)
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prevSteps, known := seenSubgraphStates[subgraphState]
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if known {
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// log.Printf(">>> searching for loop of %+v", subgraph)
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log.Printf(">>> found loop from %d to %d. of size %d\n", prevSteps, step - 1, step - prevSteps)
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return prevSteps, step, monitoredPulses
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}
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seenSubgraphStates[subgraphState] = step
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monitoredPulsesOfTheStep := PropagateButtonPressWithMonitor(allModules, step, monitorOutputsOf)
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if len(monitoredPulsesOfTheStep) > 0 {
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monitoredPulses[step] = monitoredPulsesOfTheStep
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}
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step++
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}
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panic("")
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}
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// i see lot's of 'LowPulse'
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// while i want to find steps where all inputs are remembered as High.
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// so i'm interested in steps with "high" pulses and next steps that make it 'low' after
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func FilterMonitoredPulses(requestedPulses map[int][]PulseType) {
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afterHigh := false
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for step, pulses := range requestedPulses {
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processedPulses := make([]PulseType, 0)
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for _, pulse := range pulses {
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if pulse == HighPulse {
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processedPulses = append(processedPulses, pulse)
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afterHigh = true
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continue
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}
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if afterHigh {
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processedPulses = append(processedPulses, pulse)
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afterHigh = false
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}
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}
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if len(processedPulses) > 0 {
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requestedPulses[step] = processedPulses
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} else {
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delete(requestedPulses, step)
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}
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}
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}
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// loop math
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// 2023/12/20 12:35:08 >>> searching for loop of sr
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// 2023/12/20 12:35:08 >>> found loop from 1 to 4028. of size 4028
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// 2023/12/20 12:35:08 the pulses: +map[4026:[high low]]
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// 2023/12/20 12:35:08 >>> searching for loop of ch
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// 2023/12/20 12:35:08 >>> found loop from 0 to 3923. of size 3924
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// 2023/12/20 12:35:08 the pulses: +map[3817:[high low]]
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// 2023/12/20 12:35:08 >>> searching for loop of hd
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// 2023/12/20 12:35:09 >>> found loop from 0 to 3793. of size 3794
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// 2023/12/20 12:35:09 the pulses: +map[3427:[high low]]
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// 2023/12/20 12:35:09 >>> searching for loop of bx
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// 2023/12/20 12:35:09 >>> found loop from 0 to 3739. of size 3740
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// 2023/12/20 12:35:09 the pulses: +map[3211:[high low]]
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func CalcCommonStep() int {
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type LoopInfo struct {
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loopLength, initialDesiredStep int
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curStep int
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}
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loopA := &LoopInfo{4027, 4026, 4026}
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loopB := &LoopInfo{3923, 3922, 3922}
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loopC := &LoopInfo{3793, 3792, 3792}
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loopD := &LoopInfo{3739, 3211, 3738}
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// nope they can have different amount of own loops.
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// so it's 4 unknowns, 5 unknowns.
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// i could store 4 'steps' and on each iteration increase the smallest one
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// until they are all equal
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loops := []*LoopInfo{loopA, loopB, loopC, loopD}
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allSameStep := loopA.curStep == loopB.curStep &&
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loopB.curStep == loopC.curStep &&
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loopC.curStep == loopD.curStep
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i := 0
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for !allSameStep {
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minLoop := slices.MinFunc(loops, func(a *LoopInfo, b *LoopInfo) int {
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return cmp.Compare(a.curStep, b.curStep)
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})
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minLoop.curStep += minLoop.loopLength
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if i % 10000000 == 0 {
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log.Printf(">> iterations made: %d, min step is %d", i, minLoop.curStep)
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}
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i++
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}
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return loopA.curStep
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}
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