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# A puzzle game CodeChef Solution

## A puzzle game CodeChef Solution in C++14

``````#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

using namespace std;

struct PairHash {inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }};

// speed
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);

// alias
using ll = long long;
using ld = long double;
using ull = unsigned long long;

// constants
const ld PI = 3.14159265358979323846;  /* pi */
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 202020;
const ll mod = 1e9 + 7;

// typedef
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef array<ll,3> all3;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all5> vall5;
typedef vector<ld> vld;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef deque<ll> dqll;
typedef deque<pll> dqpll;
typedef pair<string, string> pss;
typedef vector<pss> vpss;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;
typedef unordered_map<pll, ll, PairHash> umpll;

// macros
#define rep(i,m,n) for(ll i=m;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
#define INF(a) memset(a,0x3f3f3f3f3f3f3f3fLL,sizeof(a))
#define ASCEND(a) iota(all(a),0)
#define sz(x) ll((x).size())
#define BIT(a,i) (a & (1ll<<i))
#define BITSHIFT(a,i,n) (((a<<i) & ((1ll<<n) - 1)) | (a>>(n-i)))
#define pyes cout<<"Yes\n";
#define pno cout<<"No\n";
#define endl "\n"
#define pneg1 cout<<"-1\n";
#define ppossible cout<<"Possible\n";
#define pimpossible cout<<"Impossible\n";
#define TC(x) cout<<"Case #"<<x<<": ";
#define X first
#define Y second

// utility functions
template <typename T>
void print(T &&t)  { cout << t << "\n"; }
template<typename T>
void printv(vector<T>v){ll n=v.size();rep(i,0,n){cout<<v[i];if(i+1!=n)cout<<' ';}cout<<endl;}
template<typename T>
void printvln(vector<T>v){ll n=v.size();rep(i,0,n)cout<<v[i]<<endl;}
void fileIO(string in = "input.txt", string out = "output.txt") {freopen(in.c_str(),"r",stdin); freopen(out.c_str(),"w",stdout);}
template<typename T>
template<typename T, typename U>
template<typename T, typename U>

struct Combination {
vll fac, inv;
ll n, MOD;

ll modpow(ll n, ll x, ll MOD = mod) { if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }

Combination(ll _n, ll MOD = mod): n(_n + 1), MOD(MOD) {
inv = fac = vll(n,1);
rep(i,1,n) fac[i] = fac[i-1] * i % MOD;
inv[n - 1] = modpow(fac[n - 1], MOD - 2, MOD);
rrep(i,1,n - 2) inv[i] = inv[i + 1] * (i + 1) % MOD;
}

ll fact(ll n) {return fac[n];}
ll nCr(ll n, ll r) {
if(n < r or n < 0 or r < 0) return 0;
return fac[n] * inv[r] % MOD * inv[n-r] % MOD;
}
};

struct Matrix {
ll r,c;
vvll matrix;
Matrix(ll r, ll c, ll v = 0): r(r), c(c), matrix(vvll(r,vll(c,v))) {}

Matrix operator*(const Matrix& B) const {
Matrix res(r, B.c);
rep(i,0,r) rep(j,0,B.c) rep(k,0,B.r) {
res.matrix[i][j] = (res.matrix[i][j] + matrix[i][k] * B.matrix[k][j] % mod) % mod;
}
return res;
}

Matrix copy() {
Matrix copy(r,c);
copy.matrix = matrix;
return copy;
}

Matrix pow(ll n) {
assert(r == c);
Matrix res(r,r);
Matrix now = copy();
rep(i,0,r) res.matrix[i][i] = 1;
while(n) {
if(n & 1) res = res * now;
now = now * now;
n /= 2;
}
return res;
}
};

// geometry data structures
template <typename T>
struct Point {
T y,x;
Point(T y, T x) : y(y), x(x) {}
Point(pair<T,T> p) : y(p.first), x(p.second) {}
Point() {}
void input() {cin>>y>>x;}
friend ostream& operator<<(ostream& os, const Point<T>& p) { os<<p.y<<' '<<p.x<<'\n'; return os;}
Point<T> operator+(Point<T>& p) {return Point<T>(y + p.y, x + p.x);}
Point<T> operator-(Point<T>& p) {return Point<T>(y - p.y, x - p.x);}
Point<T> operator*(ll n) {return Point<T>(y*n,x*n); }
Point<T> operator/(ll n) {return Point<T>(y/n,x/n); }
bool operator<(const Point &other) const {if (x == other.x) return y < other.y;return x < other.x;}
Point<T> rotate(Point<T> center, ld angle) {
ld si = sin(angle * PI / 180.), co = cos(angle * PI / 180.);
ld y = this->y - center.y;
ld x = this->x - center.x;

return Point<T>(y * co - x * si + center.y, y * si + x * co + center.x);
}
ld distance(Point<T> other) {
T dy = abs(this->y - other.y);
T dx = abs(this->x - other.x);
return sqrt(dy * dy + dx * dx);
}

T norm() { return x * x + y * y; }
};

template<typename T>
struct Line {
Point<T> A, B;
Line(Point<T> A, Point<T> B) : A(A), B(B) {}
Line() {}

void input() {
A = Point<T>();
B = Point<T>();
A.input();
B.input();
}

T ccw(Point<T> &a, Point<T> &b, Point<T> &c) {
T res = a.x * b.y + b.x * c.y + c.x * a.y;
res -= (a.x * c.y + b.x * a.y + c.x * b.y);
return res;
}

bool isIntersect(Line<T> o) {
T p1p2 = ccw(A,B,o.A) * ccw(A,B,o.B);
T p3p4 = ccw(o.A,o.B,A) * ccw(o.A,o.B,B);
if (p1p2 == 0 && p3p4 == 0) {
pair<T,T> p1(A.y, A.x), p2(B.y,B.x), p3(o.A.y, o.A.x), p4(o.B.y, o.B.x);
if (p1 > p2) swap(p2, p1);
if (p3 > p4) swap(p3, p4);
return p3 <= p2 && p1 <= p4;
}
return p1p2 <= 0 && p3p4 <= 0;
}

pair<bool,Point<ld>> intersection(Line<T> o) {
if(!this->intersection(o)) return {false, {}};
ld det = 1. * (o.B.y-o.A.y)*(B.x-A.x) - 1.*(o.B.x-o.A.x)*(B.y-A.y);
ld t = ((o.B.x-o.A.x)*(A.y-o.A.y) - (o.B.y-o.A.y)*(A.x-o.A.x)) / det;
return {true, {A.y + 1. * t * (B.y - A.y), B.x + 1. * t * (B.x - A.x)}};
}

//@formula for : y = ax + b
//@return {a,b};
pair<ld, ld> formula() {
T y1 = A.y, y2 = B.y;
T x1 = A.x, x2 = B.x;
if(y1 == y2) return {1e9, 0};
if(x1 == x2) return {0, 1e9};
ld a = 1. * (y2 - y1) / (x2 - x1);
ld b = -x1 * a + y1;
return {a, b};
}
};

template<typename T>
struct Circle {
Point<T> center;
Circle() {}

void input() {
center = Point<T>();
center.input();
}

bool circumference(Point<T> p) {
return (center.x - p.x) * (center.x - p.x) + (center.y - p.y) * (center.y - p.y) == radius * radius;
}

bool intersect(Circle<T> c) {
T d = (center.x - c.center.x) * (center.x - c.center.x) + (center.y - c.center.y) * (center.y - c.center.y);
}

bool include(Circle<T> c) {
T d = (center.x - c.center.x) * (center.x - c.center.x) + (center.y - c.center.y) * (center.y - c.center.y);
}
};

ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
all3 __exgcd(ll x, ll y) { if(!y) return {x,1,0}; auto [g,x1,y1] = __exgcd(y, x % y); return {g, y1, x1 - (x/y) * y1}; }
ll __lcm(ll x, ll y) { return x / __gcd(x,y) * y; }
ll modpow(ll n, ll x, ll MOD = mod) { n%=MOD; if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }

unordered_map<string, ll> dp;

usll prime{2,3,5,7,11,13,17,19};

ll dy[2]{1,0}, dx[2]{0,1};

ll helper(string now) {
if(dp.count(now)) return dp[now];
ll& res = dp[now] = INF;
rep(i,0,3) rep(j,0,3) {
rep(k,0,2) {
ll ny = i + dy[k], nx = j + dx[k];
if(0 <= ny and ny < 3 and 0 <= nx and nx < 3 and prime.count(now[i * 3 + j] - '0' + now[ny * 3 + nx] - '0')) {
swap(now[i * 3 + j], now[ny * 3 + nx]);
res = min(res, 1 + helper(now));
swap(now[i * 3 + j], now[ny * 3 + nx]);
}
}
}
return res;
}

void init() {
dp["123456789"] = 0;
queue<string> q;
q.push("123456789");
while(sz(q)) {
string now = q.front(); q.pop();
ll v = dp[now];
rep(i,0,3) rep(j,0,3) {
rep(k,0,2) {
ll ny = i + dy[k], nx = j + dx[k];
if(0 <= ny and ny < 3 and 0 <= nx and nx < 3 and prime.count(now[i * 3 + j] - '0' + now[ny * 3 + nx] - '0')) {
swap(now[i * 3 + j], now[ny * 3 + nx]);
if(!dp.count(now)) {
dp[now] = v + 1;
q.push(now);
}
swap(now[i * 3 + j], now[ny * 3 + nx]);
}
}
}
}
}

ll solve(vvll A) {
dp["123456789"] = 0;
string now = "";
rep(i,0,3) rep(j,0,3) now.push_back(A[i][j] + '0');
return dp.count(now) ? dp[now] : -1;
}

int main() {
Code By Sumfi
cout.precision(12);
ll tc = 1;
init();
cin>>tc;
rep(i,1,tc+1) {
vvll A(3,vll(3));
print(solve(A));
}
return 0;
}``````

## A puzzle game CodeChef Solution in PYTH 3

``````# cook your dish here
prime = [2,3,5,7,11,13,17]
edges = [(0,3), (0,1), (1,2), (1,4), (2,5), (3,4), (3,6), (4,5), (4,7), (5,8), (6,7), (7,8)]

x = (1, 2, 3, 4, 5, 6, 7, 8, 9)

avail = {x: 0}
queue = [x]
while queue:
current = queue.pop(0)
for e in edges:
if current[e[0]] + current[e[1]] in prime:
nxt = list(current)
nxt[e[0]], nxt[e[1]] = nxt[e[1]], nxt[e[0]]
nxt = tuple(nxt)
if nxt not in avail:
avail[nxt] = avail[current] + 1
queue.append(nxt)

for _ in range(int(input())):
input()
grid = ()
for i in range(3):
grid += tuple(map(int, input().split()))
print(avail[grid] if grid in avail else -1)``````

## A puzzle game CodeChef Solution in C

``````#include<stdio.h>
int front, rear;
int q[362880/2];
char dis[98765432];
int curr_s;
int board[3*3];
int isprime(int x)
{
if(x==2||x==3||x==5||x==7||x==11||x==13||x==17)
return 1;
return 0;
}
int pow(int n)
{
int ans=1;
for(int i=0;i<n;i++)
{
ans*=10;
}
return ans;
}
void swap(int i, int j)
{ int d = board[j]-board[i];
int ns = curr_s + d*pow(8-i) -d*pow(8-j);
if(dis[ns/10]==0)
{
dis[ns/10] = dis[curr_s/10]+1;
q[rear++] = ns;
}
}
void create_all_states()
{
int i;
int s;
front = 0;
while(front<rear)
while(front<rear)
{
s = curr_s = q[front];
for(int i=8;i>=0;i--)
{
board[i]=s%10;
s = s/10;
}
if(isprime(board[0]+board[1])) swap(0,1);
if(isprime(board[0]+board[3])) swap(0,3);
if(isprime(board[1]+board[2])) swap(1,2);
if(isprime(board[1]+board[4])) swap(1,4);
if(isprime(board[2]+board[5])) swap(2,5);
if(isprime(board[3]+board[4])) swap(3,4);
if(isprime(board[3]+board[6])) swap(3,6);
if(isprime(board[4]+board[5])) swap(4,5);
if(isprime(board[4]+board[7])) swap(4,7);
if(isprime(board[5]+board[8])) swap(5,8);
if(isprime(board[6]+board[7])) swap(6,7);
if(isprime(board[7]+board[8])) swap(7,8);
front++;
}
}
int main()
{
rear=0;
q[rear] = 123456789;
rear++;
dis[12345678]=1;
create_all_states();
int t;
scanf("%d",&t);
while(t--)
{
int state = 0;
for(int i=0;i<9;i++)
{
int temp;
scanf("%d",&temp);
state = state*10 + temp;
}
printf("%d\n", dis[state/10]-1);
}
}``````

## A puzzle game CodeChef Solution in JAVA

``````import java.util.HashMap;
import java.util.Map;
import java.util.Queue;
import java.util.Scanner;

public class Main {
static final int SIZE = 3;
static final String TARGET_STATE = "123456789";
static final int[] R_OFFSET = { 0, 1 };
static final int[] C_OFFSET = { 1, 0 };

static Map<String, Integer> stateToStep = buildStateToStep();

public static void main(String[] args) {
Scanner sc = new Scanner(System.in);

int t = sc.nextInt();
for (int tc = 0; tc < t; tc++) {
int[][] board = new int[SIZE][SIZE];
for (int r = 0; r < SIZE; r++) {
for (int c = 0; c < SIZE; c++) {
board[r][c] = sc.nextInt();
}
}

System.out.println(solve(board));
}

sc.close();
}

static Map<String, Integer> buildStateToStep() {
Map<String, Integer> stateToStep = new HashMap<>();
stateToStep.put(TARGET_STATE, 0);
queue.offer(TARGET_STATE);

while (!queue.isEmpty()) {
String state = queue.poll();
int[][] board = decode(state);

for (int r = 0; r < SIZE; r++) {
for (int c = 0; c < SIZE; c++) {
for (int i = 0; i < R_OFFSET.length; i++) {
int nextR = r + R_OFFSET[i];
int nextC = c + C_OFFSET[i];

if (nextR < SIZE && nextC < SIZE && isPrime(board[r][c] + board[nextR][nextC])) {
swap(board, r, c, nextR, nextC);

String nextState = encode(board);
if (!stateToStep.containsKey(nextState)) {
stateToStep.put(nextState, stateToStep.get(state) + 1);
queue.offer(nextState);
}

swap(board, r, c, nextR, nextC);
}
}
}
}
}

return stateToStep;
}

static boolean isPrime(int n) {
if (n < 2) {
return false;
}

for (int i = 2; i * i <= n; i++) {
if (n % i == 0) {
return false;
}
}
return true;
}

static void swap(int[][] board, int r1, int c1, int r2, int c2) {
int temp = board[r1][c1];
board[r1][c1] = board[r2][c2];
board[r2][c2] = temp;
}

static String encode(int[][] board) {
StringBuilder state = new StringBuilder();
for (int r = 0; r < SIZE; r++) {
for (int c = 0; c < SIZE; c++) {
state.append(board[r][c]);
}
}
return state.toString();
}

static int[][] decode(String state) {
int[][] board = new int[SIZE][SIZE];
for (int r = 0; r < SIZE; r++) {
for (int c = 0; c < SIZE; c++) {
board[r][c] = state.charAt(r * SIZE + c) - '0';
}
}
return board;
}

static int solve(int[][] board) {
return stateToStep.getOrDefault(encode(board), -1);
}
}``````

## A puzzle game CodeChef Solution in PYPY 3

``````from math import *
import sys
def input():
sys.setrecursionlimit(10**9)
intf = 10**20
pr = [3,5,7,11,13,17,19]
ind = [(0,1),(1,2),(3,4),(4,5),(6,7),(7,8),(0,3),(3,6),(1,4),(4,7),(2,5),(5,8)]
queue = [[1,2,3,4,5,6,7,8,9]]
memo={}
memo[(1,2,3,4,5,6,7,8,9)]=0
while len(queue)>0:
el=queue.pop(0)
cur_l=el
for a,b in ind:
if cur_l[a] + cur_l[b] in pr:
l1 = list(cur_l)
l1[a],l1[b]=l1[b],l1[a]
if tuple(l1) not in memo:
queue.append(l1)
memo[tuple(l1)]=memo[tuple(cur_l)]+1

for i in range(int(input())):
input()
l=[int(i) for i  in (input()+" "+input()+" "+input()).split()]
if tuple(l) in memo:
print(memo[tuple(l)])
else:
print(-1)``````

## A puzzle game CodeChef Solution in PYTH

``````from collections import defaultdict
D = defaultdict(int)
L = []
L.append([1,2,3,4,5,6,7,8,9,0])
MX = 1
S = set()
Z = 123456789
SW = [[0,1],[0,3],[1,2],[1,4],[2,5],[3,4],[3,6],[4,5],[4,7],[5,8],[6,7],[7,8]]
PR = [3,5,7,11,13,17]
p = 0
while p < MX:
R = L[p]
for sw in SW:
x = sw[0]
y = sw[1]
if R[x]+R[y] in PR:
NL = list(R)
NL[x],NL[y] = NL[y],NL[x]
v = 0
for x in range(9):
v = 10*v + NL[x]
# endfor x
if not (v in S):
D[v] = MX
MX += 1
NL[9] += 1
L.append(list(NL))
# endif
# endif
# next sw
p += 1
# endwhile
t = int(raw_input())
for i in xrange(t):
st = raw_input()
v = 0
for k in range(3):
st = raw_input()
for z in st.strip().split(" "):
v = 10*v + int(z)
# endfor z
# endfor k
p = D[v]
if p == 0:
if v == Z:
print '0'
else:
print '-1'
# endif
else:
print L[p][9]
# endif
# endfor i

``````

## A puzzle game CodeChef Solution in C#

``````using System;
using System.Collections.Generic;
using System.Linq;

namespace ConsoleApplication
{
public class Program
{
public static int Main(string[] args)
{
var returnCode = 0;
var testCasesCount = GetNextIntegerLine();
for (var i = 0; i < testCasesCount; i++)
{
HandleTestCase();
if (i < testCasesCount - 1)
{
Console.Write("\n");
}
}
return returnCode;
}

public static int[] GetArrayFromConsole()
{
.Split(' ')
.Select(int.Parse)
.ToArray();
return inputs;
}
private static Dictionary<int, int> _results = new Dictionary<int, int>
{
{987654321, 0}
};

private static void HandleTestCase()
{
var queue = new Queue<int[]>();
queue.Enqueue(new[]{1,2,3,4,5,6,7,8,9});
while (queue.Any())
{
var currentInputs = queue.Dequeue();
var possibleMovements = GetPossibleMovement(currentInputs);
var currentSignature = GetSignature(currentInputs);
var movementCount = _results[currentSignature];

foreach (var possibleMovement in possibleMovements)
{
var signature = GetSignature(possibleMovement);
var previousMovementCount = 0;
if (!_results.TryGetValue(signature, out previousMovementCount))
{
queue.Enqueue(possibleMovement);
}
else if (previousMovementCount > movementCount + 1)
{
_results[signature] = movementCount + 1;
}
}
}

var inputs = GetArrayFromConsole();
int result = 0;
if (_results.TryGetValue(GetSignature(inputs), out result))
{
Console.Write(result.ToString());
}
else
{
Console.Write("-1");
}
}

public static IEnumerable<int[]> GetPossibleMovement(int[] currentInputs)
{
int currentIndex = 0;

for (var i = 0; i < 3; i++)
{
for (var j = 0; j < 3; j++)
{
currentIndex = i + j * 3;

if (i < 2 && IsPrime(currentInputs[currentIndex] + currentInputs[currentIndex + 1]))
{
var testedMovement = (int[])currentInputs.Clone();
Swap(ref testedMovement[currentIndex], ref testedMovement[currentIndex + 1]);
yield return testedMovement;
}

if (j < 2 && IsPrime(currentInputs[currentIndex] + currentInputs[currentIndex + 3]))
{
var testedMovement = (int[])currentInputs.Clone();
Swap(ref testedMovement[currentIndex], ref testedMovement[currentIndex + 3]);
yield return testedMovement;
}
}
}
}

static int[] _primes = new[] { 2, 3, 5, 7, 11, 13, 17, 19 };
public static bool IsPrime(int number) => _primes.Contains(number);

public static void Swap(ref int a, ref int b)
{
var c = a;
a = b;
b = c;
}

public static int GetSignature(int[] inputs) =>
inputs[0] * 1 +
inputs[1] * 10 +
inputs[2] * 100 +
inputs[3] * 1000 +
inputs[4] * 10000 +
inputs[5] * 100000 +
inputs[6] * 1000000 +
inputs[7] * 10000000 +
inputs[8] * 100000000;

{
}

private static int GetNextIntegerLine()
{
}
}
}``````

## A puzzle game CodeChef Solution in GO

``````package main

import (
"bufio"
"bytes"
"fmt"
"os"
)

func main() {

var buf bytes.Buffer
for tc > 0 {
tc--

grid := make([][]int, 3)
for i := 0; i < 3; i++ {
}
res := solve(grid)
buf.WriteString(fmt.Sprintf("%d\n", res))
}
fmt.Print(buf.String())
}

func readUint64(bytes []byte, from int, val *uint64) int {
i := from

var tmp uint64
for i < len(bytes) && bytes[i] >= '0' && bytes[i] <= '9' {
tmp = tmp*10 + uint64(bytes[i]-'0')
i++
}
*val = tmp

return i
}

func readInt(bytes []byte, from int, val *int) int {
i := from
sign := 1
if bytes[i] == '-' {
sign = -1
i++
}
tmp := 0
for i < len(bytes) && bytes[i] >= '0' && bytes[i] <= '9' {
tmp = tmp*10 + int(bytes[i]-'0')
i++
}
*val = tmp * sign
return i
}

for i := 0; i < len(s); i++ {
if s[i] == '\n' || s[i] == '\r' {
return s[:i]
}
}
return s
}

return
}

a, b = res[0], res[1]
return
}

a, b, c = res[0], res[1], res[2]
return
}

res := make([]int, n)
x := 0
for i := 0; i < n; i++ {
for x < len(bs) && (bs[x] < '0' || bs[x] > '9') && bs[x] != '-' {
x++
}
}
return res
}

const N = 362880

var dp []int

var primes map[int]bool
var pos map[int64]int

func init() {
primes = make(map[int]bool)
set := make([]bool, 20)
for i := 2; i < 20; i++ {
if !set[i] {
primes[i] = true
for j := i + i; j < 20; j += i {
set[j] = true
}
}
}

arr := make([]int64, 9)

next := func(num int64) int64 {
for i := 8; i >= 0; i-- {
arr[i] = num % 10
num /= 10
}
i := len(arr) - 2
for i >= 0 && arr[i] > arr[i+1] {
i--
}
if i < 0 {
return -1
}
// arr[i] < arr[i+1]
j := len(arr) - 1
for arr[i] > arr[j] {
j--
}
// j will at least be i+1
arr[i], arr[j] = arr[j], arr[i]

for a, b := i+1, len(arr)-1; a < b; a, b = a+1, b-1 {
arr[a], arr[b] = arr[b], arr[a]
}

var ans int64

for i := 0; i < len(arr); i++ {
ans = ans*10 + arr[i]
}
return ans
}

nums := make([]int64, N)
var cur int64 = 123456789
dp = make([]int, N)
pos = make(map[int64]int)
for i := 0; i < N; i++ {
nums[i] = cur
pos[cur] = i
cur = next(cur)
dp[i] = -1
}

dp[0] = 0

que := make([]int, N)
var front, end int
que[end] = 0
end++

for front < end {
cur := que[front]
front++
num := nums[cur]
neighors := move(num, arr)

for _, x := range neighors {
i := pos[x]
if dp[i] < 0 {
dp[i] = dp[cur] + 1
que[end] = i
end++
}
}
}

}

func move(num int64, buf []int64) []int64 {
// len(buf) = 9
for i := 8; i >= 0; i-- {
buf[i] = num % 10
num /= 10
}

var res []int64

for i := 0; i < 3; i++ {
for j := 0; j < 3; j++ {
x := buf[i*3+j]
if j+1 < 3 && primes[int(buf[i*3+j+1]+x)] {
buf[i*3+j], buf[i*3+j+1] = buf[i*3+j+1], buf[i*3+j]
res = append(res, toNum(buf))
buf[i*3+j], buf[i*3+j+1] = buf[i*3+j+1], buf[i*3+j]
}
if i+1 < 3 && primes[int(buf[(i+1)*3+j]+x)] {
buf[i*3+j], buf[i*3+j+3] = buf[i*3+j+3], buf[i*3+j]
res = append(res, toNum(buf))
buf[i*3+j], buf[i*3+j+3] = buf[i*3+j+3], buf[i*3+j]
}
}
}

return res
}

func toNum(arr []int64) int64 {
var res int64
for i := 0; i < len(arr); i++ {
res = res*10 + arr[i]
}
return res
}

func solve(grid [][]int) int {
buf := make([]int64, 9)
for i := 0; i < 3; i++ {
for j := 0; j < 3; j++ {
buf[i*3+j] = int64(grid[i][j])
}
}
num := toNum(buf)

i := pos[num]

return dp[i]
}``````
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