// Slower C++ solution:
#include <iostream>

#include <queue>

#include <set>

#include <cstdio>

#include <cstdlib>

#include <cctype>



using namespace std;



typedef long long Board;



const int N = 9;

const Board GOAL = 0x087654321;



const int PATTERN = 362880;

bool frontier[PATTERN];



struct State {

    Board board;

    int count;

};



queue<State> q;

set<Board> history;



// I made this function based on one by Haruhiko Okumura(Algorithm 

// Dictionary, p116) and one by M.Hiroi(Puzzle DE Programming).

int change_number(long long board) {

    static int fact_table[N] = {

         40320, 5040, 720, 120, 24, 6, 2, 1, 0      // on N = 8

    };

    int value = 0;

    for (int j = 0; j < N - 1; ++j) {

        int J = static_cast<int>((board >> (j*4) & 0xF));

        value += fact_table[j] * J;

        for (int k = j + 1; k < N; ++k) {

            int K = static_cast<int>((board >> k*4) & 0xF);

            if (J < K) {

                board &= ~(0xFLL << k*4);

                board |= (static_cast<long long>(K - 1) << k*4);

            }

        }

    }

//    printf("[change_number] value = %d\n", value);

    return value;

}



inline void swap(int numpos, int spacepos, Board& board) {

    long long num = (board >> (numpos*4)) & 15;

    board |= num << (spacepos*4);

    board &= ~(15LL << (numpos*4));

}



inline int swap_and_check(int numpos, int spacepos, State s) {

    swap(numpos, spacepos, s.board);

    if (s.board == GOAL) {

        return ++s.count;

    }

    int pos = change_number(s.board);

    if (!frontier[pos]) {

        ++s.count;

        q.push(s);

        frontier[pos] = true;

    }

//    if (history.insert(s.board).second) {

//        ++s.count;

//    }

    return -1;

}



void print(Board b) {

    for (int i = 0; i < N; ++i) {

        printf("%2lld", (b >> (i*4) & 15));

    }

    printf("\n");

}



// OK

int main(void) {



    Board board = 0;

    for (int i = 0, num; i < N; ++i) {

        scanf("%d", &num);

        board |= static_cast<long long>(num) << (i*4);

    }

//    print(GOAL);

//    print(board);



    int count = 0;

    if (board == GOAL) {

        goto END;

    }



    q.push({ board, 0 });

    while (!q.empty()) {

        State s = q.front();

        q.pop();



        int pos = -1;

        while (++pos < N) {

            if (((s.board >> (pos*4)) & 15) == 0) {

                break;

            }

        }



        if (pos < 6) {

            if ((count = swap_and_check(pos + 3, pos, s)) > 0) {

                break;

            }

        }

        if (pos > 2) {

            if ((count = swap_and_check(pos - 3, pos, s)) > 0) {

                break;

            }

        }

        if (pos % 3 < 2) {

            if ((count = swap_and_check(pos + 1, pos, s)) > 0) {

                break;

            }

        }

        if (pos % 3 > 0) {

            if ((count = swap_and_check(pos - 1, pos, s)) > 0) {

                break;

            }

        }

    }



END:

    printf("%d\n", count);



    return 0;

}

// Faster C++ solution for the same problem (measured speedup: 2.167450129635995x):
#include <iostream>

#include <queue>

#include <set>

#include <cstdio>

#include <cstdlib>

#include <cctype>



using namespace std;



typedef long long Board;



const int N = 9;

const Board GOAL = 0x087654321;



const int PATTERN = 362880;

const int FORWARD  = 1;

const int BACKWARD = 2;

int frontier[PATTERN];



struct State {

    Board board;

    int count;

};



queue<State> q;



// I made this function based on one by Haruhiko Okumura(Algorithm 

// Dictionary, p116) and one by M.Hiroi(Puzzle DE Programming).

inline int change_number(long long board) {

    static int fact_table[N] = {

         40320, 5040, 720, 120, 24, 6, 2, 1, 0      // on N = 8

    };

    int value = 0;

    for (int j = 0; j < N - 1; ++j) {

        int J = static_cast<int>((board >> (j*4) & 0xF));

        value += fact_table[j] * J;

        for (int k = j + 1; k < N; ++k) {

            int K = static_cast<int>((board >> k*4) & 0xF);

            if (J < K) {

                board &= ~(0xFLL << k*4);

                board |= (static_cast<long long>(K - 1) << k*4);

            }

        }

    }

//    printf("[change_number] value = %d\n", value);

    return value;

}



inline void swap(int numpos, int spacepos, Board& board) {

    long long num = (board >> (numpos*4)) & 0xF;

    board |= num << (spacepos*4);

    board &= ~(0xFLL << (numpos*4));

}



inline int swap_and_check(int numpos, int spacepos, State s) {

    int prev = change_number(s.board);

    int direction = frontier[prev];

//    printf("[swap&check] direction = %d\n", direction);

    swap(numpos, spacepos, s.board);

//    if (s.board == GOAL) {

//        return ++s.count;

//    }

    int pos = change_number(s.board);

    if (!frontier[pos]) {

        ++s.count;

        q.push(s);

        frontier[pos] = direction;

        return -1;

    }

    else if (frontier[pos] != direction) {

        ++s.count;

//        printf("[swap&check] s.count = %d\n", s.count);

//        return s.count * 2 + direction - 1;

//        return s.count * 2;

        return s.count * 2 - (frontier[pos] - 1);

    }

    return -1;

}



void print(Board b) {

    for (int i = 0; i < N; ++i) {

        printf("%2lld", (b >> (i*4) & 0xF));

    }

    printf("\n");

}



// OK

int main(void) {



    Board board = 0;

    for (int i = 0, num; i < N; ++i) {

        scanf("%d", &num);

        board |= static_cast<long long>(num) << (i*4);

    }

//    print(GOAL);

//    print(board);



    int count = 0;

    if (board == GOAL) {

        goto END;

    }



    frontier[change_number(board)] = FORWARD;

    frontier[change_number(GOAL)] = BACKWARD;



    q.push({ board, 0 });

    q.push({ GOAL, 0 });

    while (!q.empty()) {

        State s = q.front();

        q.pop();



        int pos = -1;

        while (++pos < N) {

            if (((s.board >> (pos*4)) & 0xF) == 0) {

                break;

            }

        }



        if (pos < 6) {

            if ((count = swap_and_check(pos + 3, pos, s)) > 0) {

                break;

            }

        }

        if (pos > 2) {

            if ((count = swap_and_check(pos - 3, pos, s)) > 0) {

                break;

            }

        }

        if (pos % 3 < 2) {

            if ((count = swap_and_check(pos + 1, pos, s)) > 0) {

                break;

            }

        }

        if (pos % 3 > 0) {

            if ((count = swap_and_check(pos - 1, pos, s)) > 0) {

                break;

            }

        }

    }



END:

    printf("%d\n", count);



    return 0;

}