public static int pageCount(int n, int p) {
        int totalFaces = 1 + (n-1)/2 + (n-1) % 2; // a face is the left the right page
        int forwardTurns = p/2;
        int reverseTurns = (totalFaces-1) - forwardTurns; //totalFaces-1 is the index of the last face; the first face's index is 0

        return Math.min(forwardTurns, reverseTurns);
}