1 files changed, 39 insertions, 0 deletions
diff --git a/euler-golf/js/sol.js b/euler-golf/js/sol.js
new file mode 100644
index 0000000..bc403fc
--- /dev/null
+++ b/euler-golf/js/sol.js
@@ -0,0 +1,39 @@
+const DEPTH = 15;
+
+const DIRECTION = {
+  0: new cx(0, 1),
+  1: new cx(0, -1),
+};
+
+const construct_moves = (curr, prev) =>
+  Object.keys(DIRECTION).map((x) => move(curr, prev, DIRECTION[x]));
+
+const backtrack = (local_index, depth) =>
+  local_index
+    .toString(2)
+    .padStart(depth, "0")
+    .split("")
+    .map((direction) => (Number(direction) ? "+" : "-"));
+
+const sol = (target, start_from = new cx(0, 0), start_to = new cx(1, 0)) => {
+  let moves = [start_to, ...construct_moves(start_from, start_to)];
+  let curr_depth = 2;
+
+  while (curr_depth < DEPTH) {
+    for (let i = 0; i < Math.pow(2, curr_depth); i++) {
+      const direction = DIRECTION[Number(i.toString(2).at(-1))];
+      // Current element is at i >> 1 + the offset for the previous group (which is
+      // the sum of the geometric series 2**n until curr_depth - 1)
+      const current_i = (i >> 1) + (1 - Math.pow(2, curr_depth - 1)) / (1 - 2);
+      const previous_i = (i >> 2) + (1 - Math.pow(2, curr_depth - 2)) / (1 - 2);
+
+      const new_move = move(moves[previous_i], moves[current_i], direction);
+
+      moves.push(new_move);
+      if (cx.eq(new_move, target)) return backtrack(i, curr_depth);
+    }
+    curr_depth++;
+  }
+
+  return null;
+};