Help with cin / input

I am writing a program that loops until the user enters in anything other than a 'Y' or 'y' but even after inputting a 'y' the loop breaks instead of continuing. I have no idea why.

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int main()
{
	bool play = true;
	int count = 0;
	char input;
	vector<double> high_score_vector;

	while (play == true) {

		double score = the_game();
		high_score_vector.push_back(score);

		cout << "Do you want to play again? (Y/N)" << endl;

		cin >> input;


		while (!cin.good()) {

			cin.clear();
			cin.ignore(10000, '\n');
			cout << "Not valid input! Try again " << endl;
			cin >> input;

		}

		if (input != 'Y' || input != 'y')
			play = false;

		count++;
		

	}

	output(high_score_vector, count);

    return 0;
}
This condition is always true:
if (input != 'Y' || input != 'y')

When testing not-equal, use && rather than || to combine multiple conditions.
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