def main(): import sys C = sys.stdin.read().strip() L = len(C) def sum_bits(n): s = 0 m = 0 while (1 << m) <= n: start = 1 << m end = min((1 << (m + 1)) - 1, n) count = end - start + 1 s += count * (m + 1) m += 1 return s low = 1 high = 1 << 20 # A sufficiently large upper bound N = -1 while low <= high: mid = (low + high) // 2 sb = sum_bits(mid) if sb == L: N = mid break elif sb < L: low = mid + 1 else: high = mid - 1 if N == -1: print("Not found") return bin_strings = {} for x in range(1, N + 1): bs = bin(x)[2:] bin_strings[bs] = x used = [False] * (N + 1) result = [] def backtrack(pos): if pos == L: return True for x in range(1, N + 1): if not used[x]: bs = bin(x)[2:] l = len(bs) if pos + l > L: continue if C[pos:pos + l] == bs: used[x] = True result.append(x) if backtrack(pos + l): return True result.pop() used[x] = False return False if backtrack(0): print(' '.join(map(str, result))) else: print("No solution found") if __name__ == "__main__": main()