While(x not found in S) {
    // Find the value of the difference or S2
    int difference = x - S[Element]

    // if the difference is < 0 this would mean that
    // the element is greater than x
    // and thus S1 + S2 != x
    if (difference < 0)
        Discard
    else {
        // Firstly check if S[Element] == to Difference in Hash Table
        // If S[Element] == Key in Hash then that would mean Hash.Key.Value + S[Element] == x
        if (S[Element] is a key in Hash Table)
            return S1 = S[Element] & S2 = Hash.Key(S[Element]).Value

        // We insert it into the hash table if it does not already exist
        // Difference is not a key in the Hash Table
        else
            Insert into hash table (Key == Difference, Value = S[Element]
    }
}