import sys sys.setrecursionlimit(200005) # sys.set_int_max_str_digits(200005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] # inf = -1-(-1 << 31) inf = -1-(-1 << 62) # md = 10**9+7 # md = 998244353 lim=200000 x=II() if x==1: print(2) print(1,2) print("b","g") exit() t=(x&-x).bit_length()-1 x>>=t dd=[4]*(t>>1)+[2]*(t&1) for d in range(3,lim+1): if d*d>x:break while x%d==0: dd.append(d) x//=d if x>1:dd.append(x) n=sum(dd)+len(dd) if n>lim: print(-1) else: print(n) dn=len(dd) for u in range(1,dn):print(u,u+1) s=dn+1 for u,d in enumerate(dd,1): for v in range(s,s+d):print(u,v) s+=d cc=["b"]*dn+["g"]*(n-dn) print(*cc)