Day 14 solution

This one's part 1 destroyed me. I had a very difficult time, trying 3 separate approaches, each one of which worked for most cases but eventually fell apart on the 5th sample or my actual puzzle input. I ended up tweaking and rewriting until I landed on this which wasn't far off from what I was trying to do previously, but I had been overcomplicating things.

Part 2 surprised me in that I expected a simple "ore available divided by ore needed for 1 fuel" would solve it, but of course the excess chemicals produced in any given reaction meant that it wasn't that simple. So this approach uses that estimate as a lower bound, since it always underestimates, and then bisects its way to the solution (starting at the lower bound and adding 1 each time took too long). I'm sure a smarter upper bound choice could lower the runtime of this by a bit, but runtime isn't bad enough right now for me to try any additional optimizations.

utilities/bisect.go

@@ -0,0 +1,26 @@
+package utilities
+
+import (
+	"math"
+)
+
+// Bisect takes a known-good low and known-bad high value as the bounds
+// to bisect, and a function to test each value for success or failure.
+// If the function succeeds, the value is adjusted toward the maximum,
+// and if the function fails, the value is adjusted toward the minimum.
+// The final value is returned when the difference between the success
+// and the failure is less than or equal to the acceptance threshold
+// (usually 1, for integers).
+func Bisect[T Number](low, high, threshold T, tryFunc func(val T) bool) T {
+	for T(math.Abs(float64(high-low))) > threshold {
+		currVal := low + ((high - low) / 2)
+		success := tryFunc(currVal)
+		if success {
+			low = currVal
+		} else {
+			high = currVal
+		}
+	}
+
+	return low
+}

utilities/math.go

@@ -1,5 +1,7 @@
 package utilities
 
+import "math"
+
 func GCD[T Integer](a, b T) T {
 	if b == 0 {
 		return a
@@ -25,3 +27,23 @@ func LCM[T Integer](nums ...T) uint64 {
 func lcm[T Integer](a, b T) uint64 {
 	return uint64(a*b) / uint64(GCD(a, b))
 }
+
+func Min[T Number](nums ...T) T {
+	numNums := len(nums)
+	if numNums == 2 {
+		return T(math.Min(float64(nums[0]), float64(nums[1])))
+	}
+
+	if numNums == 0 {
+		return 0
+	}
+
+	least := nums[0]
+	for i := 1; i < numNums; i++ {
+		if nums[i] < least {
+			least = nums[i]
+		}
+	}
+
+	return least
+}