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: competition

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)

#!/usr/bin/env python3
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
#    print(k, r)
    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
#    print("aaa", k, si, fi, s, f)
    if si <= S <= fi and ((fi-S) % k == 0):
#        print(k)
#        print("cc", f, fi, S, f+(fi-S)//k)
        print((f+(fi-S)//k))
        return
#    for i in range(f, s+1):
#        tt(i, N)
#        if ( i == f or i == s ) and S == tt(i, N):
#            print(i)
#            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")

# 3桁以上
for p in range(2, root+1):
    ds = digit_sum(n,p)
    if ds == s:
        ans = min(ans, p)
        

# 2桁
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))

# 1桁
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)

# -*- coding: utf-8 -*-
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)

# coding: utf-8
# Your code here!
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
            #print(b)
            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)

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()

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

#2桁
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)

#!/usr/bin/env python3
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


# Generated by 1.1.4 https://github.com/kyuridenamida/atcoder-tools  (tips: You use the default template now. You can remove this line by using your custom template)
def main():
    def iterate_tokens():
        for line in sys.stdin:
            for word in line.split():
                yield word
    tokens = iterate_tokens()
    n = int(next(tokens))  # type: int
    s = int(next(tokens))  # type: int
    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))


# coding :utf-8
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)))


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
            if f(b, n) == s:
                return b

    return -1


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

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())

#nをb進法表記したときの桁和
def f(b, n):
    res = 0
    while n:
        res += n % b
        n //= b
    return res
    
# s = n
if s == n:
    print(n+1)
    return

 
# 2 <= b <= sqrt(n)
for b in range(2, int(sqrt(n))+1):
    if f(b, n) == s:
        print(b)
        return
 
# sqrt(n) <= b <= n
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
    # 3桁まで
    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:
        # 2桁
        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:
        # 1桁
        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):
    """nのb進数表記したときの各桁
    n = sum(pow(b,i) * ans[i])
    """
    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

# 素因数分解
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

# 約数列挙
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()



import sys

MAX = 1000000


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


def main():
    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))


def __starting_point():
    main()

__starting_point()

n=int(input())
s=int(input())
r=int(n**0.5)
for b in range(2,r+2):
  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)

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 ** .5) + 1):
    if s == f(i, n):
        print(i)
        return

for i in reversed(range(1, int(n ** .5) + 1)):
    b = (n - s) // i + 1
    if b > 1 and s == f(b, n):
        print(b)
        return
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 main():
    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))


def __starting_point():
    main()

__starting_point()

from math import sqrt

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

def divisors(M):#Mの約数列 O(n^(0.5+e))
    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))


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 = []
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.append(b)
    i += 1

print(-1 if len(ans) == 0 else min(ans))

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, 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979037, 979061, 979063, 979093, 979103, 979109, 979117, 979159, 979163, 979171, 979177, 979189, 979201, 979207, 979211, 979219, 979229, 979261, 979273, 979283, 979291, 979313, 979327, 979333, 979337, 979343, 979361, 979369, 979373, 979379, 979403, 979423, 979439, 979457, 979471, 979481, 979519, 979529, 979541, 979543, 979549, 979553, 979567, 979651, 979691, 979709, 979717, 979747, 979757, 979787, 979807, 979819, 979831, 979873, 979883, 979889, 979907, 979919, 979921, 979949, 979969, 979987, 980027, 980047, 980069, 980071, 980081, 980107, 980117, 980131, 980137, 980149, 980159, 980173, 980179, 980197, 980219, 980249, 980261, 980293, 980299, 980321, 980327, 980363, 980377, 980393, 980401, 980417, 980423, 980431, 980449, 980459, 980471, 980489, 980491, 980503, 980549, 980557, 980579, 980587, 980591, 980593, 980599, 980621, 980641, 980677, 980687, 980689, 980711, 980717, 980719, 980729, 980731, 980773, 980801, 980803, 980827, 980831, 980851, 980887, 980893, 980897, 980899, 980909, 980911, 980921, 980957, 980963, 980999, 981011, 981017, 981023, 981037, 981049, 981061, 981067, 981073, 981077, 981091, 981133, 981137, 981139, 981151, 981173, 981187, 981199, 981209, 981221, 981241, 981263, 981271, 981283, 981287, 981289, 981301, 981311, 981319, 981373, 981377, 981391, 981397, 981419, 981437, 981439, 981443, 981451, 981467, 981473, 981481, 981493, 981517, 981523, 981527, 981569, 981577, 981587, 981599, 981601, 981623, 981637, 981653, 981683, 981691, 981697, 981703, 981707, 981713, 981731, 981769, 981797, 981809, 981811, 981817, 981823, 981887, 981889, 981913, 981919, 981941, 981947, 981949, 981961, 981979, 981983, 982021, 982057, 982061, 982063, 982067, 982087, 982097, 982099, 982103, 982117, 982133, 982147, 982151, 982171, 982183, 982187, 982211, 982213, 982217, 982231, 982271, 982273, 982301, 982321, 982337, 982339, 982343, 982351, 982363, 982381, 982393, 982403, 982453, 982489, 982493, 982559, 982571, 982573, 982577, 982589, 982603, 982613, 982621, 982633, 982643, 982687, 982693, 982697, 982703, 982741, 982759, 982769, 982777, 982783, 982789, 982801, 982819, 982829, 982841, 982843, 982847, 982867, 982871, 982903, 982909, 982931, 982939, 982967, 982973, 982981, 983063, 983069, 983083, 983113, 983119, 983123, 983131, 983141, 983149, 983153, 983173, 983179, 983189, 983197, 983209, 983233, 983239, 983243, 983261, 983267, 983299, 983317, 983327, 983329, 983347, 983363, 983371, 983377, 983407, 983429, 983431, 983441, 983443, 983447, 983449, 983461, 983491, 983513, 983519, 983527, 983531, 983533, 983557, 983579, 983581, 983597, 983617, 983659, 983699, 983701, 983737, 983771, 983777, 983783, 983789, 983791, 983803, 983809, 983813, 983819, 983849, 983861, 983863, 983881, 983911, 983923, 983929, 983951, 983987, 983993, 984007, 984017, 984037, 984047, 984059, 984083, 984091, 984119, 984121, 984127, 984149, 984167, 984199, 984211, 984241, 984253, 984299, 984301, 984307, 984323, 984329, 984337, 984341, 984349, 984353, 984359, 984367, 984383, 984391, 984397, 984407, 984413, 984421, 984427, 984437, 984457, 984461, 984481, 984491, 984497, 984539, 984541, 984563, 984583, 984587, 984593, 984611, 984617, 984667, 984689, 984701, 984703, 984707, 984733, 984749, 984757, 984761, 984817, 984847, 984853, 984859, 984877, 984881, 984911, 984913, 984917, 984923, 984931, 984947, 984959, 985003, 985007, 985013, 985027, 985057, 985063, 985079, 985097, 985109, 985121, 985129, 985151, 985177, 985181, 985213, 985219, 985253, 985277, 985279, 985291, 985301, 985307, 985331, 985339, 985351, 985379, 985399, 985403, 985417, 985433, 985447, 985451, 985463, 985471, 985483, 985487, 985493, 985499, 985519, 985529, 985531, 985547, 985571, 985597, 985601, 985613, 985631, 985639, 985657, 985667, 985679, 985703, 985709, 985723, 985729, 985741, 985759, 985781, 985783, 985799, 985807, 985819, 985867, 985871, 985877, 985903, 985921, 985937, 985951, 985969, 985973, 985979, 985981, 985991, 985993, 985997, 986023, 986047, 986053, 986071, 986101, 986113, 986131, 986137, 986143, 986147, 986149, 986177, 986189, 986191, 986197, 986207, 986213, 986239, 986257, 986267, 986281, 986287, 986333, 986339, 986351, 986369, 986411, 986417, 986429, 986437, 986471, 986477, 986497, 986507, 986509, 986519, 986533, 986543, 986563, 986567, 986569, 986581, 986593, 986597, 986599, 986617, 986633, 986641, 986659, 986693, 986707, 986717, 986719, 986729, 986737, 986749, 986759, 986767, 986779, 986801, 986813, 986819, 986837, 986849, 986851, 986857, 986903, 986927, 986929, 986933, 986941, 986959, 986963, 986981, 986983, 986989, 987013, 987023, 987029, 987043, 987053, 987061, 987067, 987079, 987083, 987089, 987097, 987101, 987127, 987143, 987191, 987193, 987199, 987209, 987211, 987227, 987251, 987293, 987299, 987313, 987353, 987361, 987383, 987391, 987433, 987457, 987463, 987473, 987491, 987509, 987523, 987533, 987541, 987559, 987587, 987593, 987599, 987607, 987631, 987659, 987697, 987713, 987739, 987793, 987797, 987803, 987809, 987821, 987851, 987869, 987911, 987913, 987929, 987941, 987971, 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()

# n == s mod (b-1) なので、
# (b-1) は (n-s) の約数

if n < s:
  print((-1)); return

if n == s:
  print((s+1)); return

for x in divisors(abs(n-s)):
  b = x + 1
  # print(b)
  if f(b, n) == s:
    print(b); return
    # pass

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 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()

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


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)


if N == S:
    print((N + 1))
    return
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
print((-1))


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:
        #print(x,i,res,s,n)
        buf=min(buf,x)
#print(buf)
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)

#!usr/bin/env python3
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

#Solve
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

# b = 2 ~ sqrt
# 少し先を見てもいい
for b in range(2, sqrt+1):
    use_n = n
    ans_tmp = dsum(n, b)
    if ans_tmp == s:
        print(b)
        return

# n = p*b + q
# s = p + q
# n = 2, s = 1 なら、 b=2, p=1, q=0
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
            # print(b,s-a)
        a+=1
    if b > 0:
        print(b)
        return
    if n == s:
        print((n+1))
        return
    print((-1))
    return



def __starting_point():
    solve()

__starting_point()