* minimizes the size of the subranges from which the remaining selections must be done.
   */
  private static int chooseNextSelection(
      int[] allRequired, int requiredFrom, int requiredTo, int from, int to) {
    if (requiredFrom == requiredTo) {
      return requiredFrom; // only one thing to choose, so choose it
    }

    // Find the center and round down. The true center is either centerFloor or halfway between

   * minimizes the size of the subranges from which the remaining selections must be done.
   */
  private static int chooseNextSelection(
      int[] allRequired, int requiredFrom, int requiredTo, int from, int to) {
    if (requiredFrom == requiredTo) {
      return requiredFrom; // only one thing to choose, so choose it
    }

    // Find the center and round down. The true center is either centerFloor or halfway between