var S = generateS(),
    answer = S[Math.floor(Math.random()*S.length)],
    guess = [1,1,2,2];

console.log('Hidden code: ' + answer);

while (true) {
    var response = compareCodes(guess, answer);

    console.log(guess, response);

    if (response.black === holes) {
        console.log('You have won the game!');
        break;
    }

    S = removeCodes(S, impossibleCodes(S, guess, response));
    guess = minimax(S, allCodes);
}

// sample output
Hidden code: 1,6,4,5
[ 1, 1, 2, 2 ] { black: 1, white: 0 }
[ 1, 3, 4, 4 ] { black: 2, white: 0 }
[ 1, 4, 1, 5 ] { black: 2, white: 1 }
[ 1, 1, 1, 6 ] { black: 1, white: 1 }
[ 1, 6, 4, 5 ] { black: 4, white: 0 }
You have won the game!