////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
// [Tips]
// XCodeでのEOF入力はCtrl+D
// ¥はAlt+\
// ansは結構INTの範囲2,147,483,647を超えることがあるのでlong long使っておいたほうが良い
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////



////////////////////////////////////////
//yukicorder
//No.585 工夫のないパズル
//
//IDA*探索に挑戦したいが、まずは愚直に、昔8パズルでやったのを思い出して
//1. なにも考えず幅優先探索BFS
//結果：当然のごとくTLE・・・
//
//そういえば8パズルでは双方向探索で劇的に速くなったけど・・・
//2. せっかくだから双方向BFSまた実装してみるか、復習がてら。どうせTLEになるだろうとは思いつつ <== イマココ
//
////////////////////////////////////////


//#define debug //*******************************************************************************************************************************************
#ifdef debug
#include <chrono>
#endif

#include <iostream>
#include <algorithm> // next_permutation
#include <iomanip>
#include <cmath>
#include <vector>
#include <sstream>
#include <string>
#include <cstring> //memcpy
#include <cstdio>
#include <stack>
#include <queue>
#include <list>
#include <numeric> //accumulate
#include <map>
//#include <unordered_map> //hash func.
#include <fstream> //ifstream, ofstream
#include <iterator> //insert_iterator::inserter
#include <set>


//#define NDEBUG //If NDEBUG is defined before #include <cassert>, assert will be ignored. You had better define NDEBUG when u submit the code.
#include <cassert> //assert

using namespace std;


#define dout cout
//If u wanna output to a text file instead of standard output, plz define OUTPUTFILE.
//#define OUTPUTFILE "output.txt" //************************************************************
#ifdef OUTPUTFILE
#define dout outputfile
ofstream outputfile(OUTPUTFILE);
#define OutputFilePath "/Users/Nag/Documents/Prgm/Test/DerivedData/Test/Build/Products/Debug/output.txt"
#endif


#define din cin
//If u wanna input from a text file instead of standard input, plz define INPUTFROMTEXTFILEを.
//#define INPUTFILE "input.txt" //**************************************************************
#ifdef INPUTFILE
#define din inputfile
ifstream inputfile(INPUTFILE);
#endif

#define scand(A) scanf("%d", &(A))
#define scans(A) scanf("%s", (A))
#define printd(A) printf("%d\n", (A))
#define prints(A) printf("%s\n", (A))
#define disp(A) dout << #A << " = " << setw(3) << (A) << endl
#define disP(A) dout << setw(3) << (A) << " "
#define rep(i,a,n) for(int (i)=(a); (i)<(n); (i)++)
#define show(A,s,g) dout << #A << " = "; rep(j, (s), (g)) {disP(A[j]);} dout << endl
#define showi(A,s,g) dout << #A << " = "; rep(j, (s), (g)) {disP(j);} dout << endl


#define sign(x) ((x)>0)-((x)<0) //x<0: -1, x=0: 0, x>0: +1
#define p(i) ((i)/2)
#define l(i) ((i)*2)
#define r(i) ((i)*2+1)
#define sibling(i) (i^1) //the other sibling of i (ex. 16^1 = 17, 17^1 = 16)
#define isRightChild(i) (i&1) // ex. 16&1 = 0, 17&1 = 1
#define isLeftChild(i) (!(i&1)) // ex. 16&1 = 1, 17&1 = 0

int dx[] = {1, 0, -1,  0};
int dy[] = {0, 1,  0, -1};

typedef pair<int,int> ii;
typedef pair<ii, int> iii;
typedef vector<int> vi;
typedef long long ll;
typedef unsigned long long ull;

const int INF = (1LL<<31)-1;
const ll INF_LL = (ll)9e18-1LL; //Be careful for overflow.
const ull INF_ULL = (ull)1e19-1ULL;
const int NONE = -1;
const ll MOD = (ll)1e9+7; //大きい素数の代表といえばこの人、10億7さん

const int N_MAX = 3010; //num of vertex or element
const int M_MAX = 124760; //num of edge
const int DATA_MAX = 1010;


int N = 4;
int N2 = N*N;

string GOAL = "ABCDEFGHIJKLMNOP";

//24 patterns of possible move
const int K_MAX = 24;
char dir[K_MAX] = {'R','R','R','R','R','R','R','R','R','R','R','R','C','C','C','C','C','C','C','C','C','C','C','C'}; //direction
int pos[K_MAX]  = { 0 , 0 , 0 , 1 , 1 , 1 , 2 , 2 , 2 , 3 , 3 , 3 , 0 , 0 , 0 , 1 , 1 , 1 , 2 , 2 , 2 , 3 , 3 , 3}; //position
int dif[K_MAX]  = { 1 , 2 , 3 , 1 , 2 , 3 , 1 , 2 , 3 , 1 , 2 , 3 , 1 , 2 , 3 , 1 , 2 , 3 , 1 , 2 , 3 , 1 , 2 , 3}; //difference

//search direction
const int FORWARD = 1;
const int REVERSE = -1;

int ans = 0;


struct PUZZLE {
    string state;
    string path;
    int direction; //1: forward search direction,  -1: reverse search direction
    
    bool operator < (const PUZZLE &p) const { //for map<PUZZLE, bool>
        rep(i,0,N2) {
            if(state[i]==p.state[i]) continue;
            else return  this->state[i] < p.state[i];
        }
        
        return false; //completely equal
    }
    
    bool isGoal() {
        return this->state==GOAL;
    }
    
    void display() {
        dout << "----\n";
        disp(this->state);
        disp(this->path);
        disp(this->direction);
        
        rep(i,0,N) {
            rep(j,0,N) {
                dout << this->state[i*N+j];
            }
            dout << endl;
        }
        dout << endl;
    }
    
    
    static PUZZLE rotate(PUZZLE p, int k) { //pをk番目 (k=0...23) の動かし方で1手動かして返す
        
        int start, last, jump;
        char tmp[N2];
        
        if(dir[k]=='R') {
            jump = 1;
            start = N * pos[k];
            last = start + (N-1)*jump; // = start + 3
        }
        else {
            assert(dir[k]=='C');
            
            jump = N;
            start = pos[k];
            last = start + (N-1)*jump; // = start + 12
        }
        
        
        //一旦tmpにdifだけずらしてコピーしておいて
        for(int i=start; i<=last; i+=jump) {
            int next = i + dif[k] * jump;
            if(next > last) next = i - (N - dif[k])*jump;
            
            tmp[next] = p.state[i];
            
        }
        
        //元の配列を更新する
        for(int i=start; i<=last; i+=jump) {
            p.state[i] = tmp[i];
        }
        
        return p;
    }
};



void init() {
    
}


void display() {
#ifdef debug
    dout << "----\n";
    
#endif
}


string solve_BFS(PUZZLE p) {
    queue<PUZZLE> Q;
    map<PUZZLE, pair<int, string> > alreadySearched; //int = search direction
    
    p.path = "";
    p.direction = FORWARD;
    alreadySearched[p] = make_pair(p.direction, "");
    Q.push(p);
    
    PUZZLE g;
    g.state = GOAL;
    g.path = "";
    g.direction = REVERSE;
    alreadySearched[g] = make_pair(g.direction, "");
    Q.push(g);
    
    
    
    PUZZLE x, y;
    while(not Q.empty()) {
        x = Q.front(); Q.pop();
        
#ifdef debug
        dout << "=====================\n";
        x.display();
#endif
        //check if solved or not
        if(alreadySearched[x].first * x.direction < 0) {
#ifdef debug
            dout << "GOAAAAAAAAAAAAAAAAAAAL!!\n";
#endif
            
            //construct actual solution move from both 2 pathes
            string path1, path2;
            if(x.direction>0) {
                path1 = x.path;
                path2 = alreadySearched[x].second;
            } else {
                path2 = x.path;
                path1 = alreadySearched[x].second;
            }
            
            //prosess path2
            string path3 = "";
            for(int i=0; i<path2.size(); i+=3) {
                if(path2[i+2]=='1') path2[i] = '3';
                if(path2[i+2]=='3') path2[i] = '1';
                
                path3.insert(path3.begin(), path2[i+2]);
                path3.insert(path3.begin(), path2[i+1]);
                path3.insert(path3.begin(), path2[i]);
            }
            
            return path1 + path3;
        }
        
        
        //xから1手で遷移できる状態yをすべて羅列する
        rep(k,0,K_MAX) {
            y = x.rotate(x, k);
#ifdef debug
            dout << "---\n";
            disp(k);
            y.display();
#endif

            
            if( not alreadySearched[y].first or (alreadySearched[y].first * y.direction < 0) ) {
                
                alreadySearched[y].first = y.direction;
                y.path += dir[k];
                y.path += to_string(pos[k]);
                y.path += to_string(dif[k]);
                alreadySearched[y].second = y.path;
                Q.push(y);
                
#ifdef debug
                dout << "since y has not been searched yet, add into Q.\n";
                disp(y.path);
#endif
            }
        }
    }
    
    
 
    return "UNSOLVABLE";
}



int main() {
    
    //cin, coutの高速化  ＊注意：cinを使うなら全部cinで、scanfを使うなら全部scanfで統一するように！
    cin.tie(0); //cinとcoutの同期を切る
    ios::sync_with_stdio(false); //iostreamとstdioの同期を切る
    
    //read input data
//    scand(N);
    
    string s, initialState;
    rep(i,0,N) {
        din >> s;
        initialState += s;
    }
    
    PUZZLE puzzle;
    puzzle.state = initialState;
    
    init();
    display();
    
    
    
    //------------------------------------------------------------------------------------------
#ifdef debug
    //start timer
    auto startTime = chrono::system_clock::now();
#endif
    //------------------------------------------------------------------------------------------
    
    string sol = solve_BFS(puzzle);
    
    
    
    
#ifdef debug
    dout << "=== OUTPUT ===\n";
#endif
    
    dout << sol.size()/3 << endl;
    
    rep(i,0,sol.size()) {
        dout << sol[i] << (i%3==2? "\n" : " ");
    }

    
    
    
    //------------------------------------------------------------------------------------------
#ifdef debug
    //stop timer
    auto endTime = chrono::system_clock::now();
    auto dur = endTime - startTime;
    auto msec = chrono::duration_cast<chrono::milliseconds>(dur).count();
    dout << fixed << setprecision(4) << (double)msec/1000 << " sec \n";
#endif
    //------------------------------------------------------------------------------------------
    
#ifdef INPUTFILE
    inputfile.close();
#endif
    
#ifdef OUTPUTFILE
    outputfile.close();
    cout << "\"" << OutputFilePath << "\"" << endl;
#endif
    
    return 0;
}