class Euler31 {

    private static final int[] kCoins = {1, 2, 5, 10, 20, 50, 100, 200};

    private static class Options {
        int target = 200;
        boolean runCheckpoints = true;
    }

    private static boolean parseIntAfterPrefix(String arg, String prefix, Options options) {
        if (!arg.startsWith(prefix)) {
            return false;
        }
        String tail = arg.substring(prefix.length());
        if (tail.isEmpty()) {
            return false;
        }

        long parsed = 0;
        for (int i = 0; i < tail.length(); i++) {
            char c = tail.charAt(i);
            if (c < '0' || c > '9') {
                return false;
            }
            parsed = parsed * 10 + (c - '0');
            if (parsed > Integer.MAX_VALUE) {
                return false;
            }
        }

        options.target = (int) parsed;
        return true;
    }

    private static boolean parseArguments(String[] args, Options options) {
        for (String arg : args) {
            if ("--skip-checkpoints".equals(arg)) {
                options.runCheckpoints = false;
                continue;
            }
            if (parseIntAfterPrefix(arg, "--target=", options)) {
                continue;
            }
            System.err.println("Unknown argument: " + arg);
            return false;
        }
        return options.target >= 0;
    }

    private static long solve(int target) {
        long[] ways = new long[target + 1];
        ways[0] = 1;

        for (int coin : kCoins) {
            for (int amount = coin; amount <= target; amount++) {
                ways[amount] += ways[amount - coin];
            }
        }

        return ways[target];
    }

    private static boolean runCheckpoints() {
        if (solve(5) != 4L) {
            System.err.println("Checkpoint failed for target=5");
            return false;
        }
        if (solve(10) != 11L) {
            System.err.println("Checkpoint failed for target=10");
            return false;
        }
        return true;
    }

    public static void main(String[] args) {
        Options options = new Options();
        if (!parseArguments(args, options)) {
            System.exit(1);
        }

        if (options.runCheckpoints && !runCheckpoints()) {
            System.exit(2);
        }

        System.out.println(solve(options.target));
    }
}
