Dart

I really wish Dart had memoising built in. Maybe the new macro feature will allow this to happen, but in the meantime, here's my hand-rolled solution.

import 'package:collection/collection.dart';

var counter_ = <(int, int), int>{};
int counter(s, r) => counter_.putIfAbsent((s, r), () => _counter(s, r));
int _counter(int stone, [int rounds = 25]) =>
    (rounds == 0) ? 1 : next(stone).map((e) => counter(e, rounds - 1)).sum;

List<int> next(int s) {
  var ss = s.toString(), sl = ss.length;
  if (s == 0) return [1];
  if (sl.isOdd) return [s * 2024];
  return [ss.substring(0, sl ~/ 2), ss.substring(sl ~/ 2)]
      .map(int.parse)
      .toList();
}

solve(List<String> lines, [count = 25]) =>
    lines.first.split(' ').map(int.parse).map((e) => counter(e, count)).sum;