using System; using System.Collections.Generic; using System.Collections; using System.Collections.Specialized; using System.Linq; using System.Text; using System.Text.RegularExpressions; using System.IO; using System.Reflection; using static System.Math; using System.Numerics; using System.Threading; using System.Runtime.CompilerServices; using System.Diagnostics; using System.Runtime.Remoting.Messaging; using System.Runtime.ExceptionServices; using nint=System.Int64; static class Program { const long inf = long.MaxValue>>1; const int mod = 998244353; static Sc sc = new Sc(); static void Main() { Pt pt = new Pt(Solve); pt.Sm(); } static void Solve(Pt pt) { var (n, d, h)=sc.Tp3(); DateTime st = DateTime.Now; var state = new State(sc,d); while((DateTime.Now-st).TotalMilliseconds<2800) { state.Ex(); } pt.W(state.Output()); } } public class Nd:IComparable { public int ope; public int pt; public long ef; public Nd pr; public List cl; public int nei, dest; public bool bn; public Nd() { bn=true; pt=0; ef=0; ope=-1; } public Nd(Nd pr,int ope,int p,long e) { this.pr=pr; this.ope=ope; pt=p; ef=e; } public void Us() { if(pr.cl==null) pr.cl=new List(); dest=pr.cl.Count; nei=pr.cl.Count; pr.cl.Add(this); } public int CompareTo(object obj) { Nd nd = (Nd)obj; if(nd.ef>ef) { return 1; } else if(nd.ef>1; public static int[] hy = new int[] { -1,0,1,0 }; public static int[] hx = new int[] { 0,1,0,-1 }; public int[] hd; const string ht = "URDL"; public string[] sa; public long[][] eb0, eb1, eb2, eb3; public int[][] ba; public int[][][] ca; const int n = 60; public int d; public StringBuilder sb; private Nd root; public Nd fr, maxnd; public int ny, nx, nh, nj, t; public int iskey = 0; public Pq[] pq; private Nd nnd; public State(Sc sc,int d) { sa=new string[n+2]; this.d=d; hd=new int[] { 0,d }; nh=1500; sa[0]=sa[n+1]=new string('#',n+2); eb0=new long[n+2][]; eb1=new long[n+2][]; eb2=new long[n+2][]; eb3=new long[n+2][]; ba=new int[n+2][]; ca=new int[2][][]; ca[0]=new int[n+2][]; ca[1]=new int[n+2][]; var qu = new Queue<(int d, int b, int y, int x)>(); for(int i = 1;i<=n;i++) { sa[i]="#"+sc.S+"#"; eb0[i]=new long[n+2]; eb1[i]=new long[n+2]; eb2[i]=new long[n+2]; eb3[i]=new long[n+2]; ba[i]=new int[n+2]; ca[0][i]=new int[n+2]; ca[1][i]=new int[n+2]; ca[0][i][0]=ca[0][i][n+1]=inf; ca[1][i][0]=ca[1][i][n+1]=inf; for(int j = 1;j<=n;j++) { ca[0][i][j]=ca[1][i][j]=inf; if(sa[i][j]=='S') { ny=i; nx=j; ba[i][j]=1; } else if(sa[i][j]=='G') { qu.Enqueue((0, 1, i, j)); ca[1][i][j]=0; } } } while(qu.Count>0) { var e = qu.Dequeue(); for(int i = 0;i<4;i++) { int iy = e.y+hy[i]; int ix = e.x+hx[i]; if(Ps(iy,ix)) { continue; } int bb = sa[e.y][e.x]=='K' ? 0 : e.b; if(ca[bb][iy][ix]!=inf) { continue; } qu.Enqueue((e.d+1, bb, iy, ix)); ca[bb][iy][ix]=e.d+1; } } var bi = new long[6]; for(int i = 2;i<=5;i++) { for(int j = 0;j0;j--) { if(Ps(j,e[1])) break; eb1[j][e[1]]|=bi[e[2]]; } for(int j = e[1]+1;j<=n;j++) { if(Ps(e[0],j)) break; eb2[e[0]][j]|=bi[e[2]]; } for(int j = e[1]-1;j>0;j--) { if(Ps(e[0],j)) break; eb3[e[0]][j]|=bi[e[2]]; } } root=new Nd(); maxnd=root; fr=root; nnd=root; pq=new Pq[1501]; for(int i = 0;i(32,true); } pq[nh].Push(root); } public void Ex() { for(int i = 1500;i>0;i--) { if(pq[i].cnt==0) continue; var nd = pq[i].Dequeue; if (nd.pr!=null) nd.Us(); var lca = nd; while(!lca.bn) { lca.pr.nei=lca.dest; lca=lca.pr; } while(nnd!=lca) { nnd.bn=false; Back(nnd.ope); nnd=nnd.pr; } while(nnd!=nd) { nnd=nnd.cl[nnd.nei]; Step(nnd.ope); nnd.bn=true; } for(int j = 0;j<4;j++) { var iy = ny+hy[j]; var ix = nx+hx[j]; if(Ps(iy,ix)) { continue; } int kh = nh-Dg(iy,ix,t+1)-1; if(kh<1) continue; int bb = sa[iy][ix]=='K' ? 1 : iskey; int kj = nj+(sa[iy][ix]=='J'&&ba[iy][ix]==0 ? 1 : 0); var kp = Fef(kh,kj,iy,ix,bb); var ndk = new Nd(nd,j,kj,kp); pq[kh].Push(ndk); if(sa[iy][ix]=='G'&&ndk.pt>maxnd.pt) { maxnd=ndk; } } } } public bool Ps(int y,int x) { return sa[y][x]=='#'||sa[y][x]=='E'; } public int Dg(int y,int x,int t) { t%=60; return hd[(eb0[y][x]>>t)&1]+hd[(eb1[y][x]>>t)&1]+hd[(eb2[y][x]>>t)&1]+hd[(eb3[y][x]>>t)&1]; } public long Fef(int kh,int kj,int ky,int kx,int kk) { return (1500L-kh)*(1500L-kh)*-ca[kk][ky][kx]+kj*1000000L; } private void Step(int ope) { t++; ny+=hy[ope]; nx+=hx[ope]; if(sa[ny][nx]=='K'&&ba[ny][nx]==0) iskey=1; if(sa[ny][nx]=='J'&&ba[ny][nx]==0) nj++; nh-=Dg(ny,nx,t)+1; ba[ny][nx]++; } private void Back(int ope) { ba[ny][nx]--; nh+=Dg(ny,nx,t)+1; if(sa[ny][nx]=='J'&&ba[ny][nx]==0) nj--; if(sa[ny][nx]=='K'&&ba[ny][nx]==0) iskey=0; ny-=hy[ope]; nx-=hx[ope]; t--; } private string Out(int ope) { return "M "+ht[ope]+"\n"; } public string Output() { var sa = new List(); while(maxnd.ope!=-1) { sa.Add(Out(maxnd.ope)); maxnd=maxnd.pr; } return string.Join("",sa.ToArray().Reverse().ToArray()); } } public class Dt:IComparable { public nint n; public T d; public static implicit operator Dt((nint, T) e) { return new Dt(e.Item1,e.Item2); } public Dt(nint n,T d) { this.n=n; this.d=d; } public int CompareTo(object obj) { Dt mymo = (Dt)obj; if(mymo.n>n) { return -1; } else if(mymo.n "d:"+d.ToString()+" n:"+n.ToString(); } public class Pq where T : IComparable { private T[] he; public int cnt = 0, max = 0; private Func compare; public Pq(int max,bool mm) { this.max=max; he=new T[max]; if(mm) { compare=Ao; } else { compare=Do; } } public void Push(T x) { if(cnt==max) { Extend(); } int j = cnt; while(j!=0&&compare(x,he[(j-1)>>1])>0) { he[j]=he[(j-1)>>1]; j=(j-1)>>1; } he[j]=x; cnt++; } public void Pop() { cnt--; T r = he[cnt]; int j = 0; while(true) { if(j*2+10) { j=j*2+1; } else { j=j*2+2; } } else if(j*2>1; break; } he[(j-1)>>1]=he[j]; } he[j]=r; } private int Ao(T x,T y) { return y.CompareTo(x); } private int Do(T x,T y) { return x.CompareTo(y); } public T Dequeue { get { var e = he[0]; Pop(); return e; } } public T Top { get { return he[0]; } } private void Extend() { T[] nhe = new T[max<<1]; Array.Copy(he,nhe,max); he=nhe; max<<=1; } } public class Pt { private StringBuilder sb = new StringBuilder(); public Pt(Action f) { f(this); } public void W(int s) { sb.Append(s); } public void W(long s) { sb.Append(s); } public void W(double s) { sb.Append(s); } public void W(decimal s) { sb.Append(s); } public void W(char s) { sb.Append(s); } public void W(string s) { sb.Append(s); } public void W(object s) { sb.Append(s); } public void W(params object[] s) { sb.Append(string.Join(" ",s)); } public void Wl(int s) { sb.Append(s).AppendLine(); } public void Wl(long s) { sb.Append(s).AppendLine(); } public void Wl(double s) { sb.Append(s).AppendLine(); } public void Wl(decimal s) { sb.Append(s).AppendLine(); } public void Wl(char s) { sb.Append(s).AppendLine(); } public void Wl(string s) { sb.AppendLine(s); } public void Wl(object s) { sb.Append(s).AppendLine(); } public void Wl(int[] s) { sb.AppendLine(string.Join(" ",s)); } public void Wl(long[] s) { sb.AppendLine(string.Join(" ",s)); } public void Wl(double[] s) { sb.AppendLine(string.Join(" ",s)); } public void Wl(string[] s) { sb.AppendLine(string.Join(" ",s)); } public void Wl(params object[] s) { sb.AppendLine(string.Join(" ",s)); } public void Wl() { sb.AppendLine(); } public void Sm() { Console.Write(sb); } public void Op(StreamWriter sw) { sw.Write(sb); sw.Close(); } public static bool operator ==(Pt a,Pt b) { return a.sb.ToString()==b.sb.ToString(); } public static bool operator !=(Pt a,Pt b) { return a.sb.ToString()!=b.sb.ToString(); } public override bool Equals(object obj) { return false; } public override int GetHashCode() { return 0; } } public class Sc { [MethodImpl(MethodImplOptions.AggressiveInlining)] protected virtual string Rl() { return Console.ReadLine(); } [MethodImpl(MethodImplOptions.AggressiveInlining)] protected virtual string[] Sp(string st) { return st.Split(); } [MethodImpl(MethodImplOptions.AggressiveInlining)] private T Ct(string s) { return (T)Convert.ChangeType(s,typeof(T)); } public virtual int I { get { return int.Parse(Rl()); } } public virtual long L { get { return long.Parse(Rl()); } } public virtual double D { get { return double.Parse(Rl()); } } public virtual string S { get { return Rl(); } } public int[] Ia { get { return Array.ConvertAll(Sp(Rl()),int.Parse); } } public long[] La { get { return Array.ConvertAll(Sp(Rl()),long.Parse); } } public double[] Da { get { return Array.ConvertAll(Sp(Rl()),double.Parse); } } public string[] Sa { get { return Sp(Rl()); } } public object[] Oa { get { return Sp(Rl()); } } public int[] Ia2 { get { return Array.ConvertAll(Sp("0 "+Rl()+" 0"),int.Parse); } } public int[] Ia3(string a,string b) { return Array.ConvertAll(Sp(a+Rl()+b),int.Parse); } public int[] Ia3(int a) { return Array.ConvertAll(Sp(Rl()+" "+a.ToString()),int.Parse); } public long[] La2 { get { return Array.ConvertAll(Sp("0 "+Rl()+" 0"),long.Parse); } } public long[] La3(string a,string b) { return Array.ConvertAll(Sp(a+Rl()+b),long.Parse); } public long[] La3(int a) { return Array.ConvertAll(Sp(Rl()+" "+a.ToString()),long.Parse); } public double[] Da2 { get { return Array.ConvertAll(Sp("0 "+Rl()+" 0"),double.Parse); } } public double[] Da3(string a,string b) { return Array.ConvertAll(Sp(a+Rl()+b),double.Parse); } public T[] Arr(int n,Func f) { var a = new T[n]; for(int i = 0;i(int n,Func f) { var a = new T[n]; for(int i = 0;i(int n,Func f) { var a = new T[n]; for(int i = 0;i(int n,Func f) { var a = new T[n]; for(int i = 0;i() { var s = Sp(Rl()); return (Ct(s[0]), Ct(s[1])); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T, T, T) Tp3() { var s = Sp(Rl()); return (Ct(s[0]), Ct(s[1]), Ct(s[2])); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T, T, T, T) Tp4() { var s = Sp(Rl()); return (Ct(s[0]), Ct(s[1]), Ct(s[2]), Ct(s[3])); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T, T, T, T, T) Tp5() { var s = Sp(Rl()); return (Ct(s[0]), Ct(s[1]), Ct(s[2]), Ct(s[3]), Ct(s[4])); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T, T, T, T, T, T) Tp6() { var s = Sp(Rl()); return (Ct(s[0]), Ct(s[1]), Ct(s[2]), Ct(s[3]), Ct(s[4]), Ct(s[5])); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T1, T2) Tp2() { var s = Sp(Rl()); return (Ct(s[0]), Ct(s[1])); } [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T1, T1, T2) Tp3() { var s = Sp(Rl()); return (Ct(s[0]), Ct(s[1]), Ct(s[2])); } } public class Scr:Sc { private List li = new List(); private int l = 0; private bool bo = false; [MethodImpl(MethodImplOptions.AggressiveInlining)] protected override string Rl() { if(bo) { return li[l++%li.Count]; } li.Add(Console.ReadLine()); return li[li.Count-1]; } public void Again() { bo=true; } } public class Scs:Sc { private StreamReader sr; private string path; public Scs(string path) { sr=new StreamReader(this.path=path); } [MethodImpl(MethodImplOptions.AggressiveInlining)] protected override string Rl() { return sr.ReadLine(); } public void Close() { sr.Close(); } public void Reset() { sr=new StreamReader(path); } } public class Sc2:Sc { private string[] sps = new string[] { " "," ","\t" }; [MethodImpl(MethodImplOptions.AggressiveInlining)] protected override string[] Sp(string st) { return st.Split(sps,StringSplitOptions.RemoveEmptyEntries); } public override int I { get { return int.Parse(Sp(Rl())[0]); } } public override long L { get { return long.Parse(Sp(Rl())[0]); } } public override double D { get { return double.Parse(Sp(Rl())[0]); } } public override string S { get { return Sp(Rl())[0]; } } } public class Scs2:Sc2 { private StreamReader sr; public Scs2(string t) { sr=new StreamReader(t); } [MethodImpl(MethodImplOptions.AggressiveInlining)] protected override string Rl() { return sr.ReadLine(); } public void Close() { sr.Close(); } } public class Sct:Sc { private List li = new List(); private int l = 0; public void Add(int s) { li.Add(s.ToString()); } public void Add(long s) { li.Add(s.ToString()); } public void Add(double s) { li.Add(s.ToString()); } public void Add(string s) { li.Add(s.ToString()); } public void Add(object s) { li.Add(s.ToString()); } public void Add(int[] s) { li.Add(string.Join(" ",s)); } public void Add(long[] s) { li.Add(string.Join(" ",s)); } public void Add(double[] s) { li.Add(string.Join(" ",s)); } public void Add(string[] s) { li.Add(string.Join(" ",s)); } public void Add(params object[] s) { li.Add(string.Join(" ",s)); } protected override string Rl() { return li[l++]; } public void Clear() { li.Clear(); l=0; } public void Again() { l=0; } public void Pf() { Console.WriteLine(string.Join("\n",li)); } }