day 19 puzzle 1

src/day19/puzzle1.typ

@@ -0,0 +1,41 @@
+#import "/src/utils.typ": *
+
+#let is-possible(target, towels: none) = {
+  if towels == none {
+    panic()
+  }
+
+  for towel in towels {
+    if towel == target {
+      return true
+    }
+    if target.starts-with(towel) {
+      if is-possible(target.slice(towel.len()), towels: towels) {
+        return true
+      }
+    }
+  }
+
+  return false
+}
+
+#let solve(input) = {
+  let (towels, targets) = input.split("\n\n")
+
+  towels = towels.split(", ")
+  let is-possible = is-possible.with(towels: towels)
+
+  let total = 0
+  for target in targets.split("\n") {
+    if is-possible(target) {
+      total += 1
+    }
+  }
+  return total
+}
+
+#show-puzzle(
+  19, 1,
+  solve,
+  example: 6
+)