+
+bool Board::is_valid() const {
+ bool seen[BOARD_SIZE];
+ for (int i = 0; i < BOARD_SIZE; i++) {
+ seen[i] = false;
+ }
+
+ for (int i = 0; i < BOARD_SIZE; i++) {
+ if (board[i] < 0 || board[i] >= BOARD_SIZE || seen[board[i]]) {
+ return false;
+ }
+ seen[board[i]] = true;
+ }
+
+ // Redundant because pigeon-hole-principle, but check anyway
+ for (int i = 0; i < BOARD_SIZE; i++) {
+ if (!seen[i]) {
+ return false;
+ }
+ }
+
+ return true;
+}
+
+std::istream& operator>>(std::istream& is, Board& board) {
+ for (int i = 0; i < BOARD_SIZE; i++) {
+ if (!is.good()) {
+ is.setstate(std::istream::failbit);
+ break;
+ }
+ if (i > 0 && is.get() != ',') {
+ is.setstate(std::istream::failbit);
+ break;
+ }
+ int numeric;
+ is >> numeric;
+ board.board[i] = numeric;
+ }
+ if (!board.is_valid()) {
+ is.setstate(std::istream::failbit);
+ }
+ return is;
+}
+
+std::ostream& operator<<(std::ostream& os, const Board& board) {
+ for (int i = 0; i < BOARD_SIZE; i++) {
+ if (i > 0) {
+ os << " ";
+ }
+ os << int(board.board[i]);
+ }
+ return os;
+}
+
+signed char Board::hole() const {
+ for (int i = 0; i < BOARD_SIZE; i++) {
+ if (board[i] == 0) {
+ return i;
+ }
+ }
+ throw std::runtime_error("Board with no hole");
+}
+
+InvertedBoard Board::invert() const {
+ InvertedBoard inv;
+ for (int i = 0; i < BOARD_SIZE; i++) {
+ inv.pos[board[i]] = i;
+ }
+ return inv;
+}
+
+int Board::distance(const Board& o) const {
+ return distance(o.invert());
+}
+
+int Board::distance(const InvertedBoard& invo) const {
+ int dist = 0;
+ for (int i = 0; i < BOARD_SIZE; i++) {
+ dist += std::abs(i % BOARD_DIM - invo.pos[board[i]] % BOARD_DIM) +
+ std::abs(i / BOARD_DIM - invo.pos[board[i]] / BOARD_DIM);
+ }
+ return dist;
+}