from typing import List from collections import Counter from functools import reduce class SmallestPrimeFactors: def __init__(self, n: int) -> None: self.spf = list(range(n + 1)) self.spf[0] = -1 self.spf[1] = -1 for i in range(2, int(n ** 0.5) + 1): if self.spf[i] == i: for j in range(i * i, n + 1, i): if self.spf[j] == j: self.spf[j] = i def is_prime(self, x: int) -> bool: assert x < len(self.spf) return self.spf[x] == x def __traverse(self, x: int) -> List[int]: if self.spf[x] == x: return [x] nxt = x // self.spf[x] return self.__traverse(nxt) + [self.spf[x]] def factor(self, x: int) -> List[int]: assert x < len(self.spf) if x < 2: return [] return self.__traverse(x) def calc_score(x): cntr = Counter(spf.factor(x)) if len(cntr) == 0: return x - 1 return x - reduce(lambda x, y: x * y, [v + 1 for v in cntr.values()]) x = int(input()) spf = SmallestPrimeFactors(x) ans = [] cur_min = 1 << 62 for i in range(1, x + 1): tmp = abs(calc_score(i) - calc_score(x - i)) if tmp < cur_min: ans = [(i, x - i)] cur_min = tmp elif tmp == cur_min: ans.append((i, x - i)) for a, b in ans: print(a, b)