smallest_sequence

    public static int smallest_sequence(int[] arr, int desired) {

        if(desired == 0){
            return 1;
        }

        int sum = 0;
        int count = 0;
        int shortest = 0;
        int index = 0;

        for (int i = 0; i < arr.length; i++) {
            sum += arr[i];
            count += 1;
            while(sum >= desired) {
                if(shortest == 0 || count < shortest) {
                    shortest = count;
                }
                sum -= arr[index];
                count -= 1;
                index += 1;
            }
        };
        return shortest;
    }