#pragma GCC optimize ("Ofast") #include using namespace std; void*wmem; char memarr[96000000]; template inline void walloc1d(T **arr, int x, void **mem = &wmem){ static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] ); (*arr)=(T*)(*mem); (*mem)=((*arr)+x); } template inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){ walloc1d(arr, x2-x1, mem); (*arr) -= x1; } inline int my_getchar_unlocked(){ static char buf[1048576]; static int s = 1048576; static int e = 1048576; if(s == e && e == 1048576){ e = fread_unlocked(buf, 1, 1048576, stdin); s = 0; } if(s == e){ return EOF; } return buf[s++]; } inline void rd(int &x){ int k; int m=0; x=0; for(;;){ k = my_getchar_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar_unlocked(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } struct MY_WRITER{ char buf[1048576]; int s; int e; MY_WRITER(){ s = 0; e = 1048576; } ~MY_WRITER(){ if(s){ fwrite_unlocked(buf, 1, s, stdout); } } } ; MY_WRITER MY_WRITER_VAR; void my_putchar_unlocked(int a){ if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){ fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout); MY_WRITER_VAR.s = 0; } MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a; } inline void wt_L(char a){ my_putchar_unlocked(a); } inline void wt_L(int x){ int s=0; int m=0; char f[10]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ my_putchar_unlocked('-'); } while(s--){ my_putchar_unlocked(f[s]+'0'); } } inline void wt_L(const char c[]){ int i=0; for(i=0;c[i]!='\0';i++){ my_putchar_unlocked(c[i]); } } struct graph{ int N; int*es; int**edge; void setDirectEdge(int N__, int M, int A[], int B[], void **mem = &wmem){ int i; N = N__; walloc1d(&es, N, mem); walloc1d(&edge, N, mem); walloc1d(&edge[0], M, mem); for(i=(0);i<(N);i++){ es[i] = 0; } for(i=(0);i<(M);i++){ es[A[i]]++; } for(i=(0);i<(N);i++){ walloc1d(&edge[i], es[i], mem); } for(i=(0);i<(N);i++){ es[i] = 0; } for(i=(0);i<(M);i++){ edge[A[i]][es[A[i]]++] = B[i]; } } void getDist(int root, int res[], void *mem = wmem){ int i; int j; int k; int*q; int s; int z; walloc1d(&q, N, &mem); for(i=(0);i<(N);i++){ res[i]=-1; } res[root]=0; s=0; z=1; q[0]=root; while(z){ i=q[s++]; z--; for(j=(0);j<(es[i]);j++){ k=edge[i][j]; if(res[k]>=0){ continue; } res[k]=res[i]+1; q[s+z++]=k; } } } int getDist(int a, int b, void *mem = wmem){ int i; int j; int k; int*q; int s; int z; int*d; if(a==b){ return 0; } walloc1d(&d, N, &mem); walloc1d(&q, N, &mem); for(i=(0);i<(N);i++){ d[i] = -1; } d[a] = 0; s = 0; z = 1; q[0] = a; while(z){ i = q[s++]; z--; for(j=(0);j<(es[i]);j++){ k = edge[i][j]; if(d[k] >= 0){ continue; } d[k] = d[i] + 1; if(k==b){ return d[k]; } q[s+z++] = k; } } return -1; } int shortestPath(const int s, const int t, int res[], void *mem=wmem){ int i; int j; int k; int*q; int qs = 0; int qe = 0; int*b; walloc1d(&b, N, &mem); walloc1d(&q, N, &mem); for(i=(0);i<(N);i++){ b[i] = -1; } b[s] = -2; q[qe++] = s; while(qe > qs){ i = q[qs++]; for(j=(0);j<(es[i]);j++){ k = edge[i][j]; if(b[k]!=-1){ continue; } b[k] = i; q[qe++] = k; } if(b[t]!=-1){ break; } } if(b[t]==-1){ return -1; } k = 0; res[k] = i = t; while(i != s){ res[++k] = (i = b[i]); } std::reverse(res, res+k+1); return k; } } ; int N; int M; int A[2000]; int B[2000]; graph g; int dist[1000][1000]; int ps; int p[1003]; char res[2002]; int main(){ int i; wmem = memarr; int x; int y; rd(N); rd(M); { int Lj4PdHRW; for(Lj4PdHRW=(0);Lj4PdHRW<(M);Lj4PdHRW++){ rd(A[Lj4PdHRW]);A[Lj4PdHRW] += (-1); rd(B[Lj4PdHRW]);B[Lj4PdHRW] += (-1); } } if(M==N){ wt_L(-1); wt_L('\n'); return 0; } g.setDirectEdge(N,M,A,B); for(i=(0);i<(N);i++){ g.getDist(i,dist[i]); } for(i=(0);i<(N);i++){ int j; for(j=(0);j<(N);j++){ if(dist[i][j]==-1){ wt_L(-1); wt_L('\n'); return 0; } } } for(i=(0);i<(M);i++){ res[i] = 'R'; } for(i=(0);i<(M);i++){ if(dist[B[i]][A[i]] % 2 == 0){ ps = g.shortestPath(B[i], A[i], p); p[++ps] = B[i]; for(i=(0);i<(ps);i+=(2)){ int j; auto V9aVTaxx = ((p[i])); auto APIVbQlN = (( p[i+1])); x=V9aVTaxx; y=APIVbQlN; for(j=(0);j<(M);j++){ if(A[j]==x && B[j]==y){ res[j] = 'G'; } } } wt_L(res); wt_L('\n'); return 0; } } wt_L("-1"); wt_L('\n'); return 0; } // cLay version 20210227-1 // --- original code --- // int N, M, A[2000], B[]; // graph g; // int dist[1000][1000], ps, p[1003]; // char res[2002]; // { // int x, y; // rd(N,M,(A--,B--)(M)); // if(M==N) wt(-1), return 0; // g.setDirectEdge(N,M,A,B); // rep(i,N) g.getDist(i,dist[i]); // rep(i,N) rep(j,N) if(dist[i][j]==-1) wt(-1), return 0; // rep(i,M) res[i] = 'R'; // rep(i,M) if(dist[B[i]][A[i]] % 2 == 0){ // ps = g.shortestPath(B[i], A[i], p); // p[++ps] = B[i]; // rep(i,0,ps,2){ // (x, y) = (p[i], p[i+1]); // rep(j,M) if(A[j]==x && B[j]==y) res[j] = 'G'; // } // wt(res), return 0; // } // wt("-1"); // }