For integers b (b \geq 2) and n (n \geq 1), let the function f(b,n) be defined as follows:
 - f(b,n) = n, when n < b
 - f(b,n) = f(b,\,{\rm floor}(n / b)) + (n \ {\rm mod} \ b), when n \geq b
Here, {\rm floor}(n / b) denotes the largest integer not exceeding n / b,
and n \ {\rm mod} \ b denotes the remainder of n divided by b.
Less formally, f(b,n) is equal to the sum of the digits of n written in base b.
For example, the following hold:
 - f(10,\,87654)=8+7+6+5+4=30
 - f(100,\,87654)=8+76+54=138
You are given integers n and s.
Determine if there exists an integer b (b \geq 2) such that f(b,n)=s.
If the answer is positive, also find the smallest such b.

-----Constraints-----
 - 1 \leq n \leq 10^{11}
 - 1 \leq s \leq 10^{11}
 - n,\,s are integers.

-----Input-----
The input is given from Standard Input in the following format:
n
s

-----Output-----
If there exists an integer b (b \geq 2) such that f(b,n)=s, print the smallest such b.
If such b does not exist, print -1 instead.

-----Sample Input-----
87654
30

-----Sample Output-----
10

Difficulty: HARD

Starter code:

Solutions:
import numpy as np

def f(b, n):
	s = 0
	while n > 0:
		s += n % b
		n //= b
	return s
INF = 10 ** 15

def solve(n, s):
	if n == s:
		return n + 1
	m = int(np.sqrt(n)) + 1
	for b in range(2, m + 1):
		if f(b, n) == s:
			return b
	best = INF
	for p in range(1, m + 10):
		q = s - p
		b = (n - q) // p
		if b > p and b > q and (f(b, n) == s):
			best = min(best, b)
	return -1 if best == INF else best
n = int(input())
s = int(input())
print(solve(n, s))


import math
import sys
n = int(input())
s = int(input())
l = n - s

def f(b):
	t = 0
	u = n
	while u != 0:
		t += u % b
		u = u // b
	return t
N = math.ceil(math.sqrt(n) + 2)
T = 10 ** 12
if l < 0:
	print(-1)
	return
if l == 0:
	print(n + 1)
	return
for i in range(1, N):
	if l % i == 0:
		j = i + 1
		if f(j) == s and T > j:
			T = j
		elif f(l // i + 1) == s and T > l // j + 1:
			T = l // i + 1
if T == 10 ** 12:
	print(-1)
	return
print(T)


def F(n, b):
	res = 0
	while n:
		(n, m) = divmod(n, b)
		res += m
	return res
N = int(input())
S = int(input())
if S > N:
	print(-1)
	return
if S == N:
	print(N + 1)
	return
inf = 10 ** 18
ans = inf
d = 0
while True:
	d += 1
	lower = N // d
	upper = N // (d + 1) + 1
	if lower == upper:
		break
	FL = F(N, lower)
	FU = F(N, upper)
	if FL <= S <= FU:
		if (FU - S) % d == 0:
			pos = (FU - S) // d
			ans = min(ans, upper + pos)
for b in range(2, upper + 1):
	if F(N, b) == S:
		ans = min(ans, b)
if ans >= inf:
	print(-1)
else:
	print(ans)


import math

def f(b, n):
	return n if n < b else f(b, n // b) + n % b
n = int(input())
s = int(input())
ans = -1
if n == s:
	ans = n + 1
else:
	for b in range(2, math.floor(n ** 0.5) + 1):
		if f(b, n) == s:
			ans = b
			break
	else:
		for p in range(1, math.ceil(n ** 0.5)):
			if (n - s) % p != 0:
				continue
			b = (n - s) // p + 1
			if math.floor(n ** 0.5) < b <= n and f(b, n) == s:
				ans = b
print(ans)


import math

def dsum(b, n):
	if n < b:
		return n
	else:
		return n % b + dsum(b, n // b)

def main():
	n = int(input())
	s = int(input())
	if n == s:
		return n + 1
	elif s > (n + 1) // 2:
		return -1
	else:
		rn = math.floor(math.sqrt(n))
		for i in range(2, rn + 1):
			if dsum(i, n) == s:
				return i
		for i in range(rn, 0, -1):
			if (n - s) % i == 0:
				b = (n - s) // i + 1
				if dsum(b, n) == s:
					return b
		return -1
print(main())


def main():
	(n, s) = (int(input()), int(input()))
	if n < s:
		print(-1)
		return
	if n == s:
		print(n + 1)
		return
	for b in range(2, int(n ** 0.5) + 1):
		(x, sb) = (n, 0)
		while 0 < x:
			sb += x % b
			x //= b
		if sb == s:
			print(b)
			return
	for p in range(1, int(n ** 0.5) + 1)[::-1]:
		if (n - s) % p:
			continue
		(b, x, sb) = ((n - s) // p + 1, n, 0)
		while 0 < x:
			sb += x % b
			x //= b
		if sb == s:
			print(b)
			return
	print(-1)

def __starting_point():
	main()
__starting_point()


import math

def read_input():
	n = int(input())
	s = int(input())
	return (n, s)

def f(b, n):
	if n < b:
		return n
	t = n // b
	m = n % b
	return f(b, t) + m

def submit():
	(n, s) = read_input()
	sqrtn = math.ceil(math.sqrt(n))
	if n == s:
		print(n + 1)
		return
	for i in range(2, sqrtn + 1):
		if f(i, n) == s:
			print(i)
			return
	for i in range(sqrtn - 1, 0, -1):
		p = i
		q = s - p
		(sho, mod) = divmod(n - q, p)
		if mod == 0:
			b = sho
		else:
			continue
		if q < b and p < b:
			if f(b, n) == s:
				print(b)
				return
	print(-1)

def __starting_point():
	submit()
__starting_point()


import math
import sys
N = int(input())
S = int(input())

def tt(k, N):
	r = 0
	while N:
		(N, m) = divmod(N, k)
		r += m
	return r
if N == S:
	print(N + 1)
	return
for i in range(2, math.floor(N ** 0.5) + 2):
	if tt(i, N) == S:
		print(i)
		return
for k in range(math.floor(N ** 0.5), 0, -1):
	s = N // k
	f = N // (k + 1) + 1
	si = k + N % k
	fi = si + (s - f) * k
	if N // s ** 2 > 0:
		continue
	if si <= S <= fi and (fi - S) % k == 0:
		print(f + (fi - S) // k)
		return
print(-1)


import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 10
mod = 10 ** 9 + 7

def g(n, b):
	r = 0
	while n > 0:
		r += n % b
		n //= b
	return r

def f():
	n = int(input())
	s = int(input())
	if s == n:
		return n + 1
	sq = int(math.sqrt(n))
	for i in range(2, sq + 1):
		if g(n, i) == s:
			return i
	if n % s == 0 and n // s > s:
		return n // s
	ns = n - s * 1.0
	for i in range(sq + 1, 0, -1):
		b = ns / i + 1
		if b != int(b) or b < 2:
			continue
		b = int(b)
		if g(n, b) == s:
			return b
	return -1
print(f())


from math import sqrt

def f(b, n):
	if n < b:
		return n
	else:
		return f(b, int(n / b)) + n % b
n = int(input())
s = int(input())
if n < s:
	print(-1)
	return
if n == s:
	print(n + 1)
	return
for b in range(2, int(sqrt(n)) + 1):
	if f(b, n) == s:
		print(b)
		return
for p in reversed(range(1, int(sqrt(n) + 1))):
	if (n - s) % p == 0:
		b = int((n - s) / p + 1)
		if f(b, n) == s:
			print(b)
			return
print(-1)


def digitsum(n, b):
	if n < b:
		return n
	else:
		return digitsum(n // b, b) + n % b
n = int(input())
s = int(input())
inf = float('inf')
ans = inf
for i in range(2, int(n ** (1 / 2)) + 2):
	if digitsum(n, i) == s:
		ans = i
		break
if n == s:
	ans = n + 1
else:
	for i in range(1, int(n ** (1 / 2))):
		if i * i - i >= n - s:
			break
		if (n - s) % i == 0:
			if s - i >= (n - s) // i + 1 or i > s:
				continue
			ans = min(ans, (n - s) // i + 1)
if ans == inf:
	print(-1)
else:
	print(int(ans))


import sys
stdin = sys.stdin
sys.setrecursionlimit(10 ** 5)

def li():
	return map(int, stdin.readline().split())

def li_():
	return map(lambda x: int(x) - 1, stdin.readline().split())

def lf():
	return map(float, stdin.readline().split())

def ls():
	return stdin.readline().split()

def ns():
	return stdin.readline().rstrip()

def lc():
	return list(ns())

def ni():
	return int(stdin.readline())

def nf():
	return float(stdin.readline())
from math import floor, sqrt

def digit_sum(num: int, base: int) -> int:
	if num < base:
		return num
	else:
		return digit_sum(int(num / base), base) + num % base
n = ni()
s = ni()
root = floor(sqrt(n))
ans = float('inf')
for p in range(2, root + 1):
	ds = digit_sum(n, p)
	if ds == s:
		ans = min(ans, p)
for a in range(1, root + 2):
	p = (n - s + a) / a
	b = s - a
	if p == int(p) and 0 < a < p and (0 <= b < p):
		ans = min(ans, int(p))
if n == s:
	ans = min(ans, n + 1)
print(-1) if ans == float('inf') else print(ans)


n = int(input())
s = int(input())
ans = -1

def f(a, x):
	if a > x:
		return x
	else:
		return f(a, x // a) + x % a
for i in range(2, int(n ** (1 / 2)) + 1):
	if ans < 0 and f(i, n) == s:
		ans = i
for p in range(1, int(n ** (1 / 2)) + 1)[::-1]:
	if ans < 0:
		if s - p >= 0 and (n + p - s) % p == 0:
			b = (n + p - s) // p
			if b >= p + 1 and b >= s - p + 1:
				ans = b
if ans < 0 and n == s:
	ans = n + 1
print(ans)


def f(b, n):
	if n < b:
		return n
	else:
		(q, r) = divmod(n, b)
		return f(b, q) + r
n = int(input())
s = int(input())
if n == s:
	print(n + 1)
else:
	b = 2
	while b * b <= n:
		if f(b, n) == s:
			print(b)
			break
		b += 1
	else:
		p = 1
		ans = 10 ** 13
		while p * p <= n:
			b = (n - s) // p + 1
			if p < b and s - p < b and (f(b, n) == s):
				ans = min(ans, b)
			p += 1
		if ans == 10 ** 13:
			print(-1)
		else:
			print(ans)


n = int(input())
s = int(input())

def fun(b, n):
	if n < b:
		return n
	else:
		return fun(b, n // b) + n % b
if n < s:
	print(-1)
elif n == s:
	print(n + 1)
else:
	for b in range(2, int(n ** 0.5) + 1):
		if fun(b, n) == s:
			print(b)
			return
	yaku = set()
	for x in range(1, int((n - s) ** 0.5) + 1):
		if (n - s) % x == 0:
			yaku |= {x, (n - s) // x}
	ans = n + 2
	for k in yaku:
		b = (n - s) // k + 1
		l = s - k
		if 0 <= l < b and n < b ** 2 and (k + l == s):
			ans = min(ans, b)
	if ans > n:
		print(-1)
	else:
		print(ans)


from math import sqrt
n = int(input())
s = int(input())

def f(b, n):
	ans = 0
	while n >= b:
		ans += n % b
		n = n // b
	return ans + n
if n == s:
	print(n + 1)
	return
for b in range(2, int(sqrt(n)) + 1):
	if f(b, n) == s:
		print(b)
		break
else:
	for p in range(1, int(sqrt(n)) + 1)[::-1]:
		(d, m) = divmod(p + n - s, p)
		if m == 0 and d >= 2 and (f(d, n) == s):
			print(d)
			break
	else:
		print(-1)


import math
n = int(input())
s = int(input())
if n == 1:
	if s == 1:
		print(2)
	else:
		print(-1)
	return
if n == s:
	print(n + 1)
	return
if n < s:
	print(-1)
	return

def ds(N, b):
	ret = 0
	while True:
		(N, mod) = divmod(N, b)
		ret += mod
		if N == 0:
			return ret
i = 0
for i in range(2, math.floor(n ** (1 / 2)) + 1):
	if ds(n, i) == s:
		print(i)
		return
if i == 0:
	i = math.floor(n ** (1 / 2))
c = n // (i + 1)
for i in range(c, 0, -1):
	if (n - s) % i == 0:
		b = (n - s) // i + 1
		if i < b and 0 <= s - i < b:
			print(b)
			return
print(-1)


import math
n = int(input())
s = int(input())

def f(b, n):
	if n < b:
		return n
	else:
		return f(b, n // b) + n % b

def abc(N, S):
	if N == S:
		return N + 1
	else:
		for b in range(2, int(math.sqrt(N)) + 2):
			if f(b, N) == S:
				return b
		tmp = -1
		for p in range(1, int(math.sqrt(N)) + 2):
			if (N - S) % p != 0:
				continue
			b = (N - S) // p + 1
			if b <= 1:
				continue
			if f(b, N) == S:
				tmp = b
		return tmp
ans = abc(n, s)
print(ans)


import sys
read = sys.stdin.read
readline = sys.stdin.readline
(n, s) = list(map(int, read().split()))

def f(b, n):
	r = 0
	while n:
		r += n % b
		n //= b
	return r
M = 4 * 10 ** 5
ans = -1
for i in range(2, M):
	if f(i, n) == s:
		print(i)
		break
else:
	for x in range(M, 0, -1):
		if (n - s) % x == 0:
			b = (n - s) // x + 1
			if x < b and 0 <= s - x < b:
				print(b)
				break
	else:
		if n == s:
			print(n + 1)
		else:
			print(-1)


import sys
MAX = 1000000

def digit_sum(n, b):
	if n == 0:
		return 0
	else:
		return digit_sum(n // b, b) + n % b

def __starting_point():
	n = int(input())
	s = int(input())
	if n < s:
		print(-1)
		return
	ans = -1
	for b in range(2, min(n + 1, MAX) + 1):
		sm = digit_sum(n, b)
		if sm == s:
			ans = b
			break
	if ans != -1:
		print(ans)
		return
	if n + 1 <= MAX:
		print(-1)
		return
	for p in reversed(list(range(1, MAX))):
		if (n - s) % p != 0:
			continue
		b = (n - s) // p + 1
		if b < 2:
			continue
		sm = digit_sum(n, b)
		if sm == s:
			ans = b
			break
	if ans != -1:
		print(ans)
		return
	if n == s:
		print(n + 1)
		return
	print(-1)
__starting_point()


import sys
input = sys.stdin.readline

def digit_sum(n, b):
	if b == 1:
		return n
	res = 0
	while n > 0:
		res += n % b
		n //= b
	return res

def main():
	n = int(input())
	s = int(input())
	ans = -1
	if n == s:
		ans = n + 1
	else:
		for b in range(2, int(n ** 0.5) + 1):
			if digit_sum(n, b) == s:
				ans = b
				break
		else:
			for p in range(1, int(n ** 0.5) + 1):
				b = (n - s) // p + 1
				if b >= 2 and digit_sum(n, b) == s:
					if ans == -1:
						ans = b
					else:
						ans = min(ans, b)
				if b >= 1 and digit_sum(n, b + 1) == s:
					if ans == -1:
						ans = b + 1
					else:
						ans = min(ans, b + 1)
	print(ans)

def __starting_point():
	main()
__starting_point()


from math import floor
from math import sqrt

def f(bb, nn):
	if nn < bb:
		return nn
	else:
		return f(bb, floor(nn / bb)) + nn % bb
n = int(input())
s = int(input())
if n == s:
	print(n + 1)
	return
elif n < s:
	print(-1)
	return
for i in range(2, int(sqrt(n)) + 2):
	if s == f(i, n):
		print(i)
		return
for i in reversed(list(range(1, int(sqrt(n)) + 2))):
	if (n - s) % i == 0:
		tmpb = (n - s) // i + 1
		if tmpb >= sqrt(n) and f(tmpb, n) == s:
			print(tmpb)
			return
print(-1)


def f(b, n):
	return n if n < b else n % b + f(b, n // b)

def solve():
	(N, S) = map(int, open(0))
	if N == S:
		return N + 1
	sqr = int(N ** 0.5)
	for b in range(2, sqr + 1):
		if f(b, N) == S:
			return b
	M = N - S
	for p in reversed(range(1, sqr + 1)):
		b = M // p + 1
		if b >= 2 and f(b, N) == S:
			return b
	return -1
print(solve())


import math

def f(b, n):
	if n < b:
		return n
	else:
		return f(b, n // b) + n % b
N = int(input())
S = int(input())
if N == S:
	print(N + 1)
else:
	for b in range(2, int(math.sqrt(N)) + 2):
		if f(b, N) == S:
			print(b)
			return
	ans = 10 ** 13
	for p in range(1, int(math.sqrt(N)) + 2):
		if (N - S) % p != 0:
			continue
		b = (N - S) // p + 1
		if b <= 1:
			continue
		if f(b, N) == S:
			ans = b
	if ans == 10 ** 13:
		print(-1)
	else:
		print(ans)


import sys
input = sys.stdin.readline

def digit_sum(n, b):
	res = 0
	while n > 0:
		res += n % b
		n //= b
	return res

def main():
	n = int(input())
	s = int(input())
	ans = -1
	if n < s:
		ans = -1
	elif n == s:
		ans = n + 1
	else:
		key = []
		(start, first) = (n, 1)
		for i in range(1, n):
			first = digit_sum(n, start)
			end = start - n // i // (i + 1)
			if start == end + 1:
				judge = start
				break
			while end > 1:
				if digit_sum(n, end) == i * (start - end) + first:
					end -= 1
					continue
				break
			next_start = end
			value = digit_sum(n, start)
			end = value + (start - end - 1) * i
			key.append((start, value, end, i, first))
			judge = start
			start = next_start
			if start == 1:
				break
		for i in range(2, judge + 1):
			sub = digit_sum(n, i)
			if sub == s:
				ans = i
				break
		else:
			for (index, start, end, i, first) in reversed(key):
				if end < s or s < start:
					continue
				if (s - start) % i:
					continue
				ans = index - (s - first) // i
				break
	print(ans)

def __starting_point():
	main()
__starting_point()


from math import sqrt, factorial
from sys import setrecursionlimit
setrecursionlimit(10000000)

def inpl():
	return list(map(int, input().split()))
N = int(input())
S = int(input())
RN = int(sqrt(N)) + 1
RN += (RN + 1) ** 2 == N

def func(b, N):
	if b <= 1:
		return -1
	tmp = 0
	while N:
		(N, d) = divmod(N, b)
		tmp += d
	return tmp
for b in range(2, RN + 1):
	tmp = func(b, N)
	if tmp == S:
		print(b)
		break
else:
	for x in range(RN, 0, -1):
		b = (N - S + x) // x
		if func(b, N) == S:
			print(b)
			break
	else:
		if func(S + 1, N) == S:
			print(S + 1)
		else:
			print(-1)


import math
N = int(input())
S = int(input())

def f(B, N):
	(X, res) = (N, 0)
	while 0 < X:
		res += X % B
		X //= B
	return res
if N == S:
	print(N + 1)
	return
i = 2
while i * i <= N:
	if f(i, N) == S:
		print(i)
		return
	i += 1
sqrtN = math.floor(math.sqrt(N))
i = 1
ans = -1
while i * i < N:
	if (N - S) % i != 0:
		i += 1
		continue
	b = (N - S) // i + 1
	if sqrtN < b and f(b, N) == S:
		ans = b
	i += 1
print(-1 if ans == -1 else ans)


def f(b, n):
	if n < b:
		return n
	else:
		return f(b, n // b) + n % b
n = int(input())
s = int(input())
if n == s:
	print(n + 1)
	return
for i in range(2, int(n ** 0.5) + 3):
	if f(i, n) == s:
		print(i)
		return
ans = 10 ** 13
for k in range(1, int(n ** 0.5) + 3):
	if (n - s) % k != 0 or n - s < 0:
		continue
	b = (n - s) // k + 1
	if b == 1:
		continue
	if f(b, n) == s:
		ans = min(b, ans)
if ans != 10 ** 13:
	print(ans)
else:
	print(-1)


def f(b, n):
	if n < b:
		return n
	return f(b, n // b) + n % b
n = int(input())
s = int(input())
if n == s:
	print(n + 1)
	return
for b in range(2, int(n ** 0.5) + 1):
	if f(b, n) == s:
		print(b)
		break
else:
	for p in range(1, int(n ** 0.5) + 1)[::-1]:
		(b, m) = divmod(n - s + p, p)
		if m == 0 and b >= 2 and (f(b, n) == s):
			print(b)
			break
	else:
		print(-1)


import itertools
import math
(n, s) = [int(input()) for _ in range(2)]

def n_base_sum(n, b):
	if math.floor(n / b):
		return n_base_sum(math.floor(n / b), b) + n % b
	else:
		return n % b

def search_p(n, s):
	for p in range(math.floor(math.sqrt(n)) + 1, 0, -1):
		b = (n - s) // p + 1
		if b > 1:
			q = n % b
			if p + q == s and q < b and (n == p * b + q) and (p < b):
				return b
	return -1
ans = -1
flag = False
answers = []
if s == n:
	ans = n + 1
	flag = True
	answers.append(ans)
for b in range(2, math.ceil(math.sqrt(n)) + 1):
	if s == n_base_sum(n, b):
		ans = b
		flag = True
		answers.append(ans)
		break
ans = search_p(n, s)
if ans != -1:
	flag = True
	answers.append(ans)
if not flag:
	print(-1)
else:
	print(int(min(answers)))


n = int(input())
s = int(input())
if n < s:
	print(-1)
	return
elif n == s:
	print(n + 1)
	return
lim = 10 ** 6
for i in range(2, lim + 1):
	tmp = 0
	x = n
	while x > 0:
		tmp += x % i
		x //= i
	if tmp == s:
		print(i)
		return
ns = n - s
inf = 10 ** 12
ans = inf
for i in range(1, ns + 1):
	if i ** 2 > ns:
		break
	if ns % i == 0:
		b = ns // i + 1
		y = n - b * i
		if (i + y == s) & (0 <= y < b):
			ans = min(ans, b)
if ans == inf:
	print(-1)
else:
	print(ans)


import sys

def f(n, b):
	if n < b:
		return n
	else:
		return n % b + f(n // b, b)

def solve(n: int, s: int):
	if s > n:
		return -1
	if s == n:
		return n + 1
	b = 2
	while b * b <= n:
		if f(n, b) == s:
			return b
		b += 1
	for p in range(b - 1, 0, -1):
		if (n - s) % p > 0:
			continue
		c = (n - s) // p + 1
		if f(n, c) == s:
			return c
	return -1

def main():

	def iterate_tokens():
		for line in sys.stdin:
			for word in line.split():
				yield word
	tokens = iterate_tokens()
	n = int(next(tokens))
	s = int(next(tokens))
	print(solve(n, s))

def __starting_point():
	main()
__starting_point()


from itertools import product

def read():
	return int(input())

def reads():
	return [int(x) for x in input().split()]

def primes(n):
	numbers = set(range(n, 1, -1))
	primes = []
	while numbers:
		p = numbers.pop()
		primes.append(p)
		numbers.difference_update(set(range(p * 2, n + 1, p)))
	return sorted(primes)
PRIMES = primes(10 ** 6)

def pfact(x):
	res = dict()
	while x > 1:
		for p in PRIMES:
			if p >= x ** 0.5 + 1:
				res[x] = res.get(x, 0) + 1
				x = 1
				break
			if x % p == 0:
				res[p] = res.get(p, 0) + 1
				x //= p
				break
	return res

def prod(xs):
	res = 1
	for x in xs:
		res *= x
	return res

def divisors(n):
	P = list(pfact(n).items())
	res = []
	for ds in product(*[list(range(e + 1)) for (p, e) in P]):
		res.append(prod((P[i][0] ** ds[i] for i in range(len(P)))))
	return sorted(res)

def f(b, n):
	return 0 if n == 0 else f(b, n // b) + n % b
n = read()
s = read()
if n < s:
	print(-1)
	return
if n == s:
	print(s + 1)
	return
for x in divisors(abs(n - s)):
	b = x + 1
	if f(b, n) == s:
		print(b)
		return
print(-1)


import math
num_N = int(input())
num_S = int(input())

def get_s(n, b):
	s = 0
	while n > 0:
		s += n % b
		n //= b
	return s

def solve():
	if num_S == num_N:
		return num_N + 1
	num_sqr = int(math.sqrt(num_N))
	for i in range(2, num_sqr + 1):
		if get_s(num_N, i) == num_S:
			return i
	if num_N % num_S == 0 and num_N // num_S > num_S:
		return num_N // num_S
	num_dif = num_N - num_S
	for i in range(num_sqr + 1, 0, -1):
		b = num_dif / i + 1
		if b != int(b) or b < 2:
			continue
		b = int(b)
		if get_s(num_N, b) == num_S:
			return b
	return -1
print(solve())


def f(b, n):
	if n < b:
		return n
	return f(b, n // b) + n % b
N = int(input())
S = int(input())

def factors(n):
	ans = []
	cur = 1
	while cur * cur <= n:
		if n % cur == 0:
			ans.append(cur)
			if cur * cur != n:
				ans.append(n // cur)
		cur += 1
	return ans
MAX_S = 5 * 10 ** 5

def solve(n, s):
	b = 2
	while b * b <= n:
		if f(b, n) == s:
			return b
		b += 1
	if n < s:
		return -1
	if n == s:
		return n + 1
	facs = factors(n - s)
	for fac in sorted(facs):
		b = fac + 1
		if b * b <= n:
			continue
		alpha = (n - s) // fac
		beta = s - alpha
		if alpha >= 0 and alpha < b and (beta >= 0) and (beta < b):
			return b
	return -1
print(solve(N, S))


def main():
	n = int(input())
	s = int(input())

	def check(a, i):
		ans = 0
		while a:
			ans += a % i
			a //= i
		return ans
	for i in range(2, int(n ** 0.5) + 2):
		if check(n, i) == s:
			print(i)
			return 0
	for i in range(int(n ** 0.5), 0, -1):
		if (n - s) % i == 0:
			b = (n - s) // i + 1
			x = s - i
			if x < 0:
				continue
			if b > x:
				print(b)
				return 0
	if n == s:
		print(n + 1)
	else:
		print(-1)
main()


from math import floor, sqrt

def f(b, n):
	if n < b:
		return n
	else:
		return f(b, n // b) + n % b

def solve(n, s):
	if s > n:
		return -1
	elif s == n:
		return n + 1
	for b in range(2, floor(sqrt(n)) + 1):
		if f(b, n) == s:
			return b
	for p in reversed(list(range(1, floor(sqrt(n)) + 1))):
		if (n - s) % p == 0:
			b = (n - s) // p + 1
			q = n - p * b
			if 1 <= p < b and 0 <= q < b:
				return b
	return -1
n = int(input())
s = int(input())
print(solve(n, s))


def sum_digit(b, n):
	if n < b:
		return n
	return sum_digit(b, n // b) + n % b
N = int(input())
S = int(input())
if S > N:
	print(-1)
elif S == N:
	print(N + 1)
else:
	sqrt = int(pow(N, 0.5))
	for b in range(2, sqrt + 1):
		if sum_digit(b, N) == S:
			print(b)
			return
	for k in reversed(list(range(1, sqrt + 1))):
		if (N - S) % k == 0:
			b = (N - S) // k + 1
			if sum_digit(b, N) == S:
				print(b)
				return
	print(-1)


from math import sqrt
n = int(input())
s = int(input())

def f(b, n):
	res = 0
	while n:
		res += n % b
		n //= b
	return res
if s == n:
	print(n + 1)
	return
for b in range(2, int(sqrt(n)) + 1):
	if f(b, n) == s:
		print(b)
		return
for p in range(int(sqrt(n)), 0, -1):
	if (n - s) % p > 0:
		continue
	b = (n - s) // p + 1
	if b * b <= n:
		continue
	if f(b, n) == s:
		print(b)
		return
print(-1)


def f(_b, _n):
	ret = 0
	while _n > 0:
		ret += _n % _b
		_n = _n // _b
	return ret
INF = 10 ** 12
n = int(input())
s = int(input())
ans = INF
if n >= s:
	max_digits = len(str(bin(n))) - 2
	for k in range(max_digits, 2, -1):
		min_b = max(2, -int(-n ** (1 / k)))
		max_b = int((n - s + 1) ** (1 / (k - 1)))
		for b in range(min_b, max_b + 1, 1):
			if f(b, n) == s:
				ans = b
				break
		if ans != INF:
			break
	if ans == INF:
		for a1 in range(1, s + 1):
			if n - s < (a1 - 1) * a1:
				break
			if (n - s) % a1 == 0:
				a0 = s - a1
				b = (n - a0) // a1
				if a0 < b and a1 < b and (b * a1 == n - a0) and (b < ans):
					ans = b
	if ans == INF:
		if n == s:
			ans = n + 1
if ans == INF:
	ans = -1
print(ans)


import sys
input = lambda : sys.stdin.readline().rstrip()
sys.setrecursionlimit(max(1000, 10 ** 9))
write = lambda x: sys.stdout.write(x + '\n')
n = int(input())
s = int(input())

def sub(n, b):
	ans = []
	while n > 0:
		(n, v) = divmod(n, b)
		ans.append(v)
	return ans
ans = None
for b in range(2, n + 1):
	if b ** 2 > n:
		break
	if sum(sub(n, b)) == s:
		ans = b
		break
if ans is None:
	ans = float('inf')
	if n == s:
		ans = s + 1
	for p in range(1, n + 1):
		if p ** 2 > n:
			break
		if (n + p - s) % p == 0:
			b = (n + p - s) // p
			q = s - p
			if b ** 2 > n and 0 <= q < b and (p < b) and (b * p + q == n) and (p + q == s):
				ans = min(ans, b)
			else:
				continue
if ans is None or ans == float('inf'):
	ans = -1
print(ans)


def digit_sum(n, s):
	if s > n:
		return -1
	if s == n:
		return n + 1
	b = 2
	while b ** 2 < n:
		if f(b, n) == s:
			return b
		b += 1
	p = int(n ** 0.5)
	while p >= 1:
		b = (n - s) // p + 1
		if b > 1 and f(b, n) == s:
			return b
		p -= 1
	return -1

def f(b, n):
	if n < b:
		return n
	return f(b, n // b) + n % b

def solve():
	n = int(input())
	s = int(input())
	result = digit_sum(n, s)
	print(result)
solve()


import sys
stdin = sys.stdin
sys.setrecursionlimit(10 ** 5)

def li():
	return map(int, stdin.readline().split())

def li_():
	return map(lambda x: int(x) - 1, stdin.readline().split())

def lf():
	return map(float, stdin.readline().split())

def ls():
	return stdin.readline().split()

def ns():
	return stdin.readline().rstrip()

def lc():
	return list(ns())

def ni():
	return int(stdin.readline())

def nf():
	return float(stdin.readline())

def digit_sum(num: int, base: int) -> int:
	if num < base:
		return num
	else:
		return digit_sum(int(num / base), base) + num % base
n = ni()
s = ni()
ans = -1
if s > n:
	ans = -1
elif s == n:
	ans = n + 1
else:
	base = 2
	exist = False
	while base * base <= n:
		ds = digit_sum(n, base)
		if ds == s:
			ans = base
			exist = True
			break
		base += 1
	if not exist:
		for p in range(base, 0, -1):
			if (n - s + p) % p == 0 and s - p >= 0:
				b = (n - s + p) // p
				if b > p and b > s - p:
					ans = b
					exist = True
					break
print(ans)


n = int(input())
s = int(input())
if n == s:
	print(n + 1)
	return
m = abs(n - s)
a = set()
i = 1
while i * i <= m:
	if m % i == 0:
		a.add(i)
		a.add(m // i)
	i += 1
for i in sorted(list(a)):
	i += 1
	su = 0
	nn = n
	while nn:
		su += nn % i
		nn //= i
	if su == s:
		print(i)
		break
else:
	print(-1)


import math

def f(b, n):
	if n < b:
		return n
	else:
		return f(b, n // b) + n % b

def main():
	n = int(input())
	s = int(input())
	if s == n:
		print(n + 1)
		return
	elif s > n:
		print(-1)
		return
	sqrt = int(math.sqrt(n))
	for b in range(2, sqrt + 2):
		if f(b, n) == s:
			print(b)
			return
	for x in range(sqrt, 0, -1):
		if x > s:
			continue
		y = s - x
		b = (n - y) // x
		if b >= 2 and (n - y) % x == 0 and (f(b, n) == s):
			print(b)
			return
	print(-1)

def __starting_point():
	main()
__starting_point()


n = int(input())
s = int(input())
r = int(n ** 0.5)
for b in range(2, r + 10):
	m = n
	t = 0
	while m:
		t += m % b
		m //= b
	if t == s:
		print(b)
		return
for p in range(1, r)[::-1]:
	q = s - p
	b = 1 + (n - s) // p
	if 1 <= p < b and 0 <= q < b and ((n - s) % p == 0):
		print(b)
		return
if n == s:
	print(n + 1)
	return
print(-1)


import math
n = int(input())
s = int(input())

def solve(n, s):
	if n == s:
		return n + 1
	for b in range(2, math.floor(n ** 0.5) + 1):
		tmp = n
		res = 0
		while tmp >= b:
			res += tmp % b
			tmp //= b
		res += tmp
		if res == s:
			return b
	for p in range(int(n ** 0.5), 0, -1):
		r = s - p
		if r < 0:
			continue
		if (n - r) % p == 0:
			b = (n - r) // p
			if r < b and b * b > n:
				return b
	return -1
print(solve(n, s))


import math

def f(b, n):
	if n < b:
		return n
	else:
		return f(b, n // b) + n % b

def build_div(x):
	i = 1
	ret = []
	if x < 0:
		return ret
	while True:
		if i * i > x:
			break
		if x % i == 0:
			ret.append(i)
			ret.append(x // i)
		i += 1
	return sorted(ret)
n = int(input())
s = int(input())
b = -1
if n == s:
	print(n + 1)
else:
	for i in range(2, math.ceil(math.sqrt(n))):
		if f(i, n) == s:
			b = i
			print(b)
			break
	if b == -1:
		div = build_div(n - s)
		for i in div:
			if f(i + 1, n) == s:
				b = i + 1
				print(b)
				break
	if b == -1:
		print(-1)


from math import sqrt, ceil

def bisect(ng, ok, judge, eps=1):
	while abs(ng - ok) > eps:
		m = (ng + ok) // 2
		if judge(m):
			ok = m
		else:
			ng = m
	return ok
from functools import reduce
import operator
int_product = lambda it: reduce(operator.mul, it, 1)
from itertools import product
from collections import Counter

def prime_factors(n):
	i = 2
	while i * i <= n:
		if n % i:
			i += 1
		else:
			n //= i
			yield i
	if n > 1:
		yield n

def divisors(n):
	fac_pow = Counter(prime_factors(n))
	fac = tuple(fac_pow.keys())
	for pp in product(*(range(p + 1) for p in fac_pow.values())):
		yield int_product((f ** p for (f, p) in zip(fac, pp)))

def f(x, b):
	cnt = 0
	while x:
		cnt += x % b
		x //= b
	return cnt

def solve(n, s):
	if n == s:
		return n + 1
	if n < s:
		return -1
	for b in range(2, ceil(sqrt(n)) + 2):
		if f(n, b) == s:
			return b
	for d in sorted(divisors(n - s)):
		b = d + 1
		if f(n, b) == s:
			return b
	return -1
n = int(input())
s = int(input())
print(solve(n, s))


def solve():
	n = int(input())
	s = int(input())
	if n == s:
		print(n + 1)
		return
	ret = float('inf')
	sqrt = int(n ** 0.5)
	for i in range(2, sqrt + 1):
		tmp = 0
		tn = n
		while tn:
			tmp += tn % i
			tn //= i
		if tmp == s:
			ret = i
			break
	if ret == float('inf') and n > s:
		t = n - s
		sqrt1 = int(t ** 0.5)
		for i in range(1, min(s, sqrt1) + 1):
			if t % i == 0 and s - i <= t // i and (t // i + 1 > sqrt):
				ret = min(ret, t // i + 1)
	print(ret if ret != float('inf') else -1)
solve()


from math import sqrt
import sys
sys.setrecursionlimit(10 ** 6)

def f(b, n):
	if n < b:
		return n
	else:
		return f(b, n // b) + n % b
n = int(input())
s = int(input())
if n < s:
	print(-1)
elif n == s:
	print(n + 1)
else:
	divs = []
	for i in range(1, int(sqrt(n - s)) + 1):
		if (n - s) % i == 0:
			divs.append(i)
			if i != (n - s) // i:
				divs.append((n - s) // i)
	divs.sort()
	for d in divs:
		if f(d + 1, n) == s:
			print(d + 1)
			break
	else:
		print(-1)


import sys
sys.setrecursionlimit(10 ** 7)
N = int(input())
S = int(input())
if N == S:
	print(N + 1)
	return

def f(b, n):
	if n < b:
		return n
	return f(b, n // b) + n % b
ans = float('inf')
for b in range(1, int(N ** 0.5) + 100):
	if b > 1 and f(b, N) == S:
		ans = min(ans, b)
	q = S - b
	b = (N - q) // b
	if b > 1 and f(b, N) == S:
		ans = min(ans, b)
if ans == float('inf'):
	print(-1)
else:
	print(ans)


(n, s) = [int(input()) for _ in range(2)]

def f(b, n):
	if n < b:
		return n
	return f(b, n // b) + n % b
if n == s:
	print(n + 1)
	return
for i in range(2, int(n ** 0.5) + 1):
	if s == f(i, n):
		print(i)
		return
for i in reversed(range(1, int(n ** 0.5) + 1)):
	b = (n - s) // i + 1
	if b > 1 and s == f(b, n):
		print(b)
		return
print(-1)


from math import sqrt

def digitsum(b, n):
	if b > n:
		return n
	else:
		return digitsum(b, n // b) + n % b

def divisors(M):
	import math
	d = []
	i = 1
	while math.sqrt(M) >= i:
		if M % i == 0:
			d.append(i)
			if i ** 2 != M:
				d.append(M // i)
		i = i + 1
	d.sort()
	return d
n = int(input())
s = int(input())
if 0 > n - s:
	print(-1)
else:
	m = int(sqrt(n))
	for b in range(2, m + 1):
		if digitsum(b, n) == s:
			print(b)
			break
	else:
		d = divisors(n - s)
		for i in d:
			if i >= m and s >= (n - s) // i and (i + 1 > s - (n - s) // i):
				print(i + 1)
				break
		else:
			if n == s:
				print(n + 1)
			else:
				print(-1)


import collections
N = int(input())
S = int(input())
if N == S:
	print(N + 1)
	return

def prime_decomposition(n):
	i = 2
	ret = collections.defaultdict(int)
	while i * i <= n:
		while n % i == 0:
			n //= i
			ret[i] += 1
		i += 1
	if n > 1:
		ret[n] = 1
	return ret

def digitsum(x, f):
	if x < f:
		return x
	else:
		return x % f + digitsum(x // f, f)
fs_dict = prime_decomposition(N - S)
fs_set = set([1])
for (p, n) in list(fs_dict.items()):
	fs_set_copy = fs_set.copy()
	for i in range(1, n + 1):
		for x in fs_set_copy:
			fs_set.add(x * p ** i)
for f in sorted(fs_set):
	f += 1
	if digitsum(N, f) == S:
		print(f)
		return
else:
	print(-1)


from itertools import product

def read():
	return int(input())

def reads():
	return [int(x) for x in input().split()]
PRIMES = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, 10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, 12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, 12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, 13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, 13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 13693, 13697, 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 13781, 13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967, 13997, 13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, 14083, 14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221, 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, 14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 14411, 14419, 14423, 14431, 14437, 14447, 14449, 14461, 14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, 14551, 14557, 14561, 14563, 14591, 14593, 14621, 14627, 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 14851, 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947, 14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149, 15161, 15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, 15263, 15269, 15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401, 15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 15493, 15497, 15511, 15527, 15541, 15551, 15559, 15569, 15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, 15647, 15649, 15661, 15667, 15671, 15679, 15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 15881, 15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971, 15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069, 16073, 16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267, 16273, 16301, 16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381, 16411, 16417, 16421, 16427, 16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, 16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603, 16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, 16673, 16691, 16693, 16699, 16703, 16729, 16741, 16747, 16759, 16763, 16787, 16811, 16823, 16829, 16831, 16843, 16871, 16879, 16883, 16889, 16901, 16903, 16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993, 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093, 17099, 17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191, 17203, 17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317, 17321, 17327, 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467, 17471, 17477, 17483, 17489, 17491, 17497, 17509, 17519, 17539, 17551, 17569, 17573, 17579, 17581, 17597, 17599, 17609, 17623, 17627, 17657, 17659, 17669, 17681, 17683, 17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783, 17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, 17881, 17891, 17903, 17909, 17911, 17921, 17923, 17929, 17939, 17957, 17959, 17971, 17977, 17981, 17987, 17989, 18013, 18041, 18043, 18047, 18049, 18059, 18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143, 18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233, 18251, 18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313, 18329, 18341, 18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427, 18433, 18439, 18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517, 18521, 18523, 18539, 18541, 18553, 18583, 18587, 18593, 18617, 18637, 18661, 18671, 18679, 18691, 18701, 18713, 18719, 18731, 18743, 18749, 18757, 18773, 18787, 18793, 18797, 18803, 18839, 18859, 18869, 18899, 18911, 18913, 18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009, 19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 19087, 19121, 19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 19219, 19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309, 19319, 19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423, 19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477, 19483, 19489, 19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571, 19577, 19583, 19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699, 19709, 19717, 19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793, 19801, 19813, 19819, 19841, 19843, 19853, 19861, 19867, 19889, 19891, 19913, 19919, 19927, 19937, 19949, 19961, 19963, 19973, 19979, 19991, 19993, 19997, 20011, 20021, 20023, 20029, 20047, 20051, 20063, 20071, 20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149, 20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 20261, 20269, 20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357, 20359, 20369, 20389, 20393, 20399, 20407, 20411, 20431, 20441, 20443, 20477, 20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551, 20563, 20593, 20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693, 20707, 20717, 20719, 20731, 20743, 20747, 20749, 20753, 20759, 20771, 20773, 20789, 20807, 20809, 20849, 20857, 20873, 20879, 20887, 20897, 20899, 20903, 20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983, 21001, 21011, 21013, 21017, 21019, 21023, 21031, 21059, 21061, 21067, 21089, 21101, 21107, 21121, 21139, 21143, 21149, 21157, 21163, 21169, 21179, 21187, 21191, 21193, 21211, 21221, 21227, 21247, 21269, 21277, 21283, 21313, 21317, 21319, 21323, 21341, 21347, 21377, 21379, 21383, 21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491, 21493, 21499, 21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563, 21569, 21577, 21587, 21589, 21599, 21601, 21611, 21613, 21617, 21647, 21649, 21661, 21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751, 21757, 21767, 21773, 21787, 21799, 21803, 21817, 21821, 21839, 21841, 21851, 21859, 21863, 21871, 21881, 21893, 21911, 21929, 21937, 21943, 21961, 21977, 21991, 21997, 22003, 22013, 22027, 22031, 22037, 22039, 22051, 22063, 22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123, 22129, 22133, 22147, 22153, 22157, 22159, 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987979, 987983, 987991, 987997, 988007, 988021, 988033, 988051, 988061, 988067, 988069, 988093, 988109, 988111, 988129, 988147, 988157, 988199, 988213, 988217, 988219, 988231, 988237, 988243, 988271, 988279, 988297, 988313, 988319, 988321, 988343, 988357, 988367, 988409, 988417, 988439, 988453, 988459, 988483, 988489, 988501, 988511, 988541, 988549, 988571, 988577, 988579, 988583, 988591, 988607, 988643, 988649, 988651, 988661, 988681, 988693, 988711, 988727, 988733, 988759, 988763, 988783, 988789, 988829, 988837, 988849, 988859, 988861, 988877, 988901, 988909, 988937, 988951, 988963, 988979, 989011, 989029, 989059, 989071, 989081, 989099, 989119, 989123, 989171, 989173, 989231, 989239, 989249, 989251, 989279, 989293, 989309, 989321, 989323, 989327, 989341, 989347, 989353, 989377, 989381, 989411, 989419, 989423, 989441, 989467, 989477, 989479, 989507, 989533, 989557, 989561, 989579, 989581, 989623, 989629, 989641, 989647, 989663, 989671, 989687, 989719, 989743, 989749, 989753, 989761, 989777, 989783, 989797, 989803, 989827, 989831, 989837, 989839, 989869, 989873, 989887, 989909, 989917, 989921, 989929, 989939, 989951, 989959, 989971, 989977, 989981, 989999, 990001, 990013, 990023, 990037, 990043, 990053, 990137, 990151, 990163, 990169, 990179, 990181, 990211, 990239, 990259, 990277, 990281, 990287, 990289, 990293, 990307, 990313, 990323, 990329, 990331, 990349, 990359, 990361, 990371, 990377, 990383, 990389, 990397, 990463, 990469, 990487, 990497, 990503, 990511, 990523, 990529, 990547, 990559, 990589, 990593, 990599, 990631, 990637, 990643, 990673, 990707, 990719, 990733, 990761, 990767, 990797, 990799, 990809, 990841, 990851, 990881, 990887, 990889, 990893, 990917, 990923, 990953, 990961, 990967, 990973, 990989, 991009, 991027, 991031, 991037, 991043, 991057, 991063, 991069, 991073, 991079, 991091, 991127, 991129, 991147, 991171, 991181, 991187, 991201, 991217, 991223, 991229, 991261, 991273, 991313, 991327, 991343, 991357, 991381, 991387, 991409, 991427, 991429, 991447, 991453, 991483, 991493, 991499, 991511, 991531, 991541, 991547, 991567, 991579, 991603, 991607, 991619, 991621, 991633, 991643, 991651, 991663, 991693, 991703, 991717, 991723, 991733, 991741, 991751, 991777, 991811, 991817, 991867, 991871, 991873, 991883, 991889, 991901, 991909, 991927, 991931, 991943, 991951, 991957, 991961, 991973, 991979, 991981, 991987, 991999, 992011, 992021, 992023, 992051, 992087, 992111, 992113, 992129, 992141, 992153, 992179, 992183, 992219, 992231, 992249, 992263, 992267, 992269, 992281, 992309, 992317, 992357, 992359, 992363, 992371, 992393, 992417, 992429, 992437, 992441, 992449, 992461, 992513, 992521, 992539, 992549, 992561, 992591, 992603, 992609, 992623, 992633, 992659, 992689, 992701, 992707, 992723, 992737, 992777, 992801, 992809, 992819, 992843, 992857, 992861, 992863, 992867, 992891, 992903, 992917, 992923, 992941, 992947, 992963, 992983, 993001, 993011, 993037, 993049, 993053, 993079, 993103, 993107, 993121, 993137, 993169, 993197, 993199, 993203, 993211, 993217, 993233, 993241, 993247, 993253, 993269, 993283, 993287, 993319, 993323, 993341, 993367, 993397, 993401, 993407, 993431, 993437, 993451, 993467, 993479, 993481, 993493, 993527, 993541, 993557, 993589, 993611, 993617, 993647, 993679, 993683, 993689, 993703, 993763, 993779, 993781, 993793, 993821, 993823, 993827, 993841, 993851, 993869, 993887, 993893, 993907, 993913, 993919, 993943, 993961, 993977, 993983, 993997, 994013, 994027, 994039, 994051, 994067, 994069, 994073, 994087, 994093, 994141, 994163, 994181, 994183, 994193, 994199, 994229, 994237, 994241, 994247, 994249, 994271, 994297, 994303, 994307, 994309, 994319, 994321, 994337, 994339, 994363, 994369, 994391, 994393, 994417, 994447, 994453, 994457, 994471, 994489, 994501, 994549, 994559, 994561, 994571, 994579, 994583, 994603, 994621, 994657, 994663, 994667, 994691, 994699, 994709, 994711, 994717, 994723, 994751, 994769, 994793, 994811, 994813, 994817, 994831, 994837, 994853, 994867, 994871, 994879, 994901, 994907, 994913, 994927, 994933, 994949, 994963, 994991, 994997, 995009, 995023, 995051, 995053, 995081, 995117, 995119, 995147, 995167, 995173, 995219, 995227, 995237, 995243, 995273, 995303, 995327, 995329, 995339, 995341, 995347, 995363, 995369, 995377, 995381, 995387, 995399, 995431, 995443, 995447, 995461, 995471, 995513, 995531, 995539, 995549, 995551, 995567, 995573, 995587, 995591, 995593, 995611, 995623, 995641, 995651, 995663, 995669, 995677, 995699, 995713, 995719, 995737, 995747, 995783, 995791, 995801, 995833, 995881, 995887, 995903, 995909, 995927, 995941, 995957, 995959, 995983, 995987, 995989, 996001, 996011, 996019, 996049, 996067, 996103, 996109, 996119, 996143, 996157, 996161, 996167, 996169, 996173, 996187, 996197, 996209, 996211, 996253, 996257, 996263, 996271, 996293, 996301, 996311, 996323, 996329, 996361, 996367, 996403, 996407, 996409, 996431, 996461, 996487, 996511, 996529, 996539, 996551, 996563, 996571, 996599, 996601, 996617, 996629, 996631, 996637, 996647, 996649, 996689, 996703, 996739, 996763, 996781, 996803, 996811, 996841, 996847, 996857, 996859, 996871, 996881, 996883, 996887, 996899, 996953, 996967, 996973, 996979, 997001, 997013, 997019, 997021, 997037, 997043, 997057, 997069, 997081, 997091, 997097, 997099, 997103, 997109, 997111, 997121, 997123, 997141, 997147, 997151, 997153, 997163, 997201, 997207, 997219, 997247, 997259, 997267, 997273, 997279, 997307, 997309, 997319, 997327, 997333, 997343, 997357, 997369, 997379, 997391, 997427, 997433, 997439, 997453, 997463, 997511, 997541, 997547, 997553, 997573, 997583, 997589, 997597, 997609, 997627, 997637, 997649, 997651, 997663, 997681, 997693, 997699, 997727, 997739, 997741, 997751, 997769, 997783, 997793, 997807, 997811, 997813, 997877, 997879, 997889, 997891, 997897, 997933, 997949, 997961, 997963, 997973, 997991, 998009, 998017, 998027, 998029, 998069, 998071, 998077, 998083, 998111, 998117, 998147, 998161, 998167, 998197, 998201, 998213, 998219, 998237, 998243, 998273, 998281, 998287, 998311, 998329, 998353, 998377, 998381, 998399, 998411, 998419, 998423, 998429, 998443, 998471, 998497, 998513, 998527, 998537, 998539, 998551, 998561, 998617, 998623, 998629, 998633, 998651, 998653, 998681, 998687, 998689, 998717, 998737, 998743, 998749, 998759, 998779, 998813, 998819, 998831, 998839, 998843, 998857, 998861, 998897, 998909, 998917, 998927, 998941, 998947, 998951, 998957, 998969, 998983, 998989, 999007, 999023, 999029, 999043, 999049, 999067, 999083, 999091, 999101, 999133, 999149, 999169, 999181, 999199, 999217, 999221, 999233, 999239, 999269, 999287, 999307, 999329, 999331, 999359, 999371, 999377, 999389, 999431, 999433, 999437, 999451, 999491, 999499, 999521, 999529, 999541, 999553, 999563, 999599, 999611, 999613, 999623, 999631, 999653, 999667, 999671, 999683, 999721, 999727, 999749, 999763, 999769, 999773, 999809, 999853, 999863, 999883, 999907, 999917, 999931, 999953, 999959, 999961, 999979, 999983]

def pfact(x):
	res = dict()
	while x > 1:
		for p in PRIMES:
			if p >= x ** 0.5 + 1:
				res[x] = res.get(x, 0) + 1
				x = 1
				break
			if x % p == 0:
				res[p] = res.get(p, 0) + 1
				x //= p
				break
	return res

def prod(xs):
	res = 1
	for x in xs:
		res *= x
	return res

def divisors(n):
	P = list(pfact(n).items())
	res = []
	for ds in product(*[list(range(e + 1)) for (p, e) in P]):
		res.append(prod((P[i][0] ** ds[i] for i in range(len(P)))))
	return sorted(res)

def f(b, n):
	return 0 if n == 0 else f(b, n // b) + n % b
n = read()
s = read()
if n < s:
	print(-1)
	return
if n == s:
	print(s + 1)
	return
for x in divisors(abs(n - s)):
	b = x + 1
	if f(b, n) == s:
		print(b)
		return
print(-1)


import math
n = int(input())
s = int(input())
if n == s:
	print(n + 1)
	return

def f(b, n):
	ret = 0
	while n > 0:
		ret += n % b
		n = n // b
	return ret
for i in range(2, int(math.sqrt(n) + 2)):
	t = f(i, n)
	if s == t:
		print(i)
		return
ans = 10 ** 18
for x in range(1, int(math.sqrt(n) + 10)):
	y = s - x
	b = (n - s) // x + 1
	if x < b and y < b and (f(b, n) == s):
		ans = min(ans, b)
if ans == 10 ** 18:
	ans = -1
print(ans)


import math
N = int(input())
S = int(input())
L = N - S

def search(b, n=N):
	ans = 0
	while n >= b:
		ans += n % b
		n //= b
	ans += n
	return ans

def main():
	if L < 0:
		print(-1)
	elif L == 0:
		print(N + 1)
	else:
		P = []
		for l in range(1, int(math.sqrt(L)) + 2):
			if L % l == 0:
				P.append(l + 1)
				P.append(L // l + 1)
		P.sort()
		ans = -1
		for p in P:
			if p == 1:
				continue
			S0 = search(p)
			if S == S0:
				ans = p
				break
		print(ans)

def __starting_point():
	main()
__starting_point()


import math
import sys
n = int(input())
s = int(input())
root = int(math.ceil(math.sqrt(n)))
buf = 10 ** 12
if s == n:
	print(n + 1)
	return
for i in range(1, root):
	res = s - i
	x = (n - res) // i
	if x * i + res == n and x > 1 and (x > res) and (res >= 0):
		buf = min(buf, x)
for i in range(2, root + 1):
	count = 0
	b = n
	while b != 0:
		count += b % i
		b = b // i
	if count == s:
		buf = i
		break
print(buf if buf != 10 ** 12 else -1)


from collections import defaultdict, deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random

def LI():
	return [int(x) for x in sys.stdin.readline().split()]

def I():
	return int(sys.stdin.readline())

def LS():
	return [list(x) for x in sys.stdin.readline().split()]

def S():
	res = list(sys.stdin.readline())
	if res[-1] == '\n':
		return res[:-1]
	return res

def IR(n):
	return [I() for i in range(n)]

def LIR(n):
	return [LI() for i in range(n)]

def SR(n):
	return [S() for i in range(n)]

def LSR(n):
	return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007

def solve():

	def f(n, b):
		if n < b:
			return n
		return f(n // b, b) + n % b
	(n, s) = IR(2)
	if n == s:
		print(n + 1)
		return
	for b in range(2, 10 ** 6 + 2):
		if f(n, b) == s:
			print(b)
			return
	if n <= 10 ** 6:
		print(-1)
		return
	N = 10 ** 6 + 1
	for i in range(1, N)[::-1]:
		l = n // (i + 1) + 1
		r = n // i + 1
		while r - l > 1:
			m = l + r >> 1
			fx = f(n, m)
			if fx >= s:
				l = m
			else:
				r = m
		if f(n, l) == s:
			print(l)
			return
	print(-1)
	return

def __starting_point():
	solve()
__starting_point()


n = int(input())
s = int(input())
sqrt = 0
for i in range(n + 1):
	if i * i >= n:
		sqrt = i
		break

def dsum(n, b):
	ret = 0
	while n:
		ret += n % b
		n //= b
	return ret
if s > n:
	print(-1)
	return
if s == n:
	print(n + 1)
	return
for b in range(2, sqrt + 1):
	use_n = n
	ans_tmp = dsum(n, b)
	if ans_tmp == s:
		print(b)
		return
for p in range(1, sqrt)[::-1]:
	b = (n - s) // p + 1
	if b > 1 and dsum(n, b) == s:
		print(b)
		return
print(-1)


n = int(input())
s = int(input())

def f(b, n):
	val = 0
	while n > 0:
		val += n % b
		n //= b
	return val
if s == n:
	print(n + 1)
	return
for i in range(2, int(n ** 0.5) + 1):
	if f(i, n) == s:
		print(i)
		return
ans = 10 ** 15
for i in range(1, int(n ** 0.5) + 1):
	b = (n - s) // i + 1
	if b < 2:
		continue
	if f(b, n) == s:
		ans = min(ans, b)
if ans == 10 ** 15:
	print(-1)
else:
	print(ans)


import collections

def f(n, b):
	ret = int()
	while n > 0:
		ret += n % b
		n //= b
	return ret

def solve():
	n = int(input())
	s = int(input())
	b = int(2)
	while b * b <= n:
		if f(n, b) == s:
			print(b)
			return
		b += 1
	b = 0
	a = int(1)
	while a * a <= n - s:
		if (n - s) % a == 0 and (n - s) // a >= a and (s - a >= 0) and ((n - s) // a >= s - a):
			b = (n - s) // a + 1
		a += 1
	if b > 0:
		print(b)
		return
	if n == s:
		print(n + 1)
		return
	print(-1)
	return

def __starting_point():
	solve()
__starting_point()