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\ndef f(b, n):\n    s = 0\n    while n > 0:\n        s += n % b\n        n //= b\n    return s\n\nINF = 10**15\ndef solve(n, s):\n    if n == s:\n        return n+1\n    m = int(np.sqrt(n)) + 1\n    for b in range(2, m+1):\n        if f(b, n) == s:\n            return b\n    best = INF\n    for p in range(1, m+10):\n        q = s - p\n        b = (n - q) // p\n        if (b > p) and (b > q) and (f(b, n) == s):\n            best = min(best, b)\n    return -1 if (best == INF) else best\n\nn = int(input())\ns = int(input())\nprint(solve(n, s))", "import math\nimport sys\nn=int(input())\ns=int(input())\nl=n-s\ndef f(b):\n    t=0\n    u=n\n    while u!=0:\n        t+=u%b\n        u=u//b\n    return t\nN=math.ceil(math.sqrt(n)+2)\nT=10**12\nif l<0:\n    print(-1)\n    return\nif l==0:\n    print(n+1)\n    return\nfor i in range(1,N):\n    if l%i==0:\n        j=i+1\n        if f(j)==s and T>j:\n            T=j\n        elif f((l//i)+1)==s and T>((l//j)+1):\n            T=(l//i)+1\nif T==10**12:\n    print(-1)\n    return\nprint(T)", "def F(n, b):\n    res = 0\n    while n:\n        n, m = divmod(n, b)\n        res += m\n    return res\n\n\nN = int(input())\nS = int(input())\nif S > N:\n    print(-1)\n    return\nif S == N:\n    print(N + 1)\n    return\n\n\ninf = 10**18\nans = inf\nd = 0\nwhile True:\n    d += 1\n    lower = N // d\n    upper = N // (d + 1) + 1\n    if lower == upper:\n        break\n    FL = F(N, lower)\n    FU = F(N, upper)\n    if FL <= S <= FU:\n        if (FU - S) % d == 0:\n            pos = (FU - S)//d\n            ans = min(ans, upper + pos)\n\nfor b in range(2, upper + 1):\n    if F(N, b) == S:\n        ans = min(ans, b)\n\nif ans >= inf:\n    print(-1)\nelse:\n    print(ans)", "#!/usr/bin/env python3\nimport math\n\ndef f(b, n):\n    return n if (n < b) else f(b, n // b) + n % b\n\nn = int(input())\ns = int(input())\n\nans = -1\nif n == s:\n    ans = n + 1\nelse:\n    for b in range(2, math.floor(n ** 0.5) + 1):\n        if f(b, n) == s:\n            ans = b\n            break\n    else:\n        for p in range(1, math.ceil(n ** 0.5)):\n            if (n - s) % p != 0:\n                continue\n            b = (n - s) // p + 1\n            if math.floor(n ** 0.5) < b <= n and f(b, n) == s:\n                ans = b\nprint(ans)\n", "import math\n\n\ndef dsum(b,n):\n    if n<b:\n        return n\n    else:\n        return n%b+dsum(b,n//b)\n\ndef main():\n    n=int(input())\n    s=int(input())\n    if n == s:\n        return n+1\n    elif s > (n+1)//2:\n        return -1\n    else:\n        rn = math.floor(math.sqrt(n))\n        for i in range(2,rn+1):\n            if dsum(i,n) == s:\n                return i\n        for i in range(rn,0,-1):\n            if (n-s) % i == 0:\n                b = (n-s)//i+1\n                if dsum(b,n) == s:\n                    return b\n        return -1\n\n\n\nprint(main())", "def main():\n    n, s = int(input()), int(input())\n\n    if n < s:\n        print((-1))\n        return\n    if n == s:\n        print((n+1))\n        return\n\n    for b in range(2, int(n**0.5)+1):\n        x, sb = n, 0\n        while 0 < x:\n            sb += x % b\n            x //= b\n        if sb == s:\n            print(b)\n            return\n\n    for p in range(1, int(n**0.5)+1)[::-1]:\n        if (n-s) % p:\n            continue\n        b, x, sb = (n-s) // p + 1, n, 0\n        while 0 < x:\n            sb += x % b\n            x //= b\n        if sb == s:\n            print(b)\n            return\n\n    print((-1))\n\n\ndef __starting_point():\n    main()\n\n__starting_point()", "\nimport math\n\n\ndef read_input():\n    n = int(input())\n    s = int(input())\n\n    return n, s\n\n\ndef f(b, n):\n    if n < b:\n        return n\n    t = n // b\n    m = n % b\n    return f(b, t) + m\n\n\ndef submit():\n    n, s = read_input()\n    sqrtn = math.ceil(math.sqrt(n))\n\n    if n == s:\n        print(n + 1)\n        return\n\n    for i in range(2, sqrtn + 1):\n        if f(i, n) == s:\n            print(i)\n            return\n\n    for i in range(sqrtn - 1, 0, -1):\n        p = i\n        q = s - p\n        sho,mod = divmod(n - q, p)\n        if mod == 0:\n            b = sho\n        else:\n            continue\n\n        if q < b and p < b:\n            if f(b, n) == s:\n                print(b)\n                return\n\n    print(-1)\n\ndef __starting_point():\n    submit()\n__starting_point()", "import math\nimport sys\nN = int(input())\nS = int(input())\n\ndef tt(k, N):\n    r = 0\n    while N:\n        N, m = divmod(N, k)\n        r += m\n#    print(k, r)\n    return r\n\nif N == S:\n    print((N+1))\n    return\n\nfor i in range(2, math.floor(N**0.5) + 2):\n    if tt(i, N) == S:\n        print(i)\n        return\n\nfor k in range(math.floor(N**0.5), 0, -1):\n    s = N//k\n    f = N//(k+1) + 1\n    si = k + N%k\n    fi = si + (s-f)*k\n    if N//(s**2) > 0:\n        continue\n#    print(\"aaa\", k, si, fi, s, f)\n    if si <= S <= fi and ((fi-S) % k == 0):\n#        print(k)\n#        print(\"cc\", f, fi, S, f+(fi-S)//k)\n        print((f+(fi-S)//k))\n        return\n#    for i in range(f, s+1):\n#        tt(i, N)\n#        if ( i == f or i == s ) and S == tt(i, N):\n#            print(i)\n#            return\n\nprint((-1))\n", "import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time\n\nsys.setrecursionlimit(10**7)\ninf = 10**10\nmod = 10**9 + 7\n\ndef g(n,b):\n    r = 0\n    while n > 0:\n        r += n % b\n        n //= b\n    return r\n\ndef f():\n    n = int(input())\n    s = int(input())\n    if s == n:\n        return n + 1\n    sq = int(math.sqrt(n))\n    for i in range(2,sq+1):\n        if g(n, i) == s:\n            return i\n    if n % s == 0 and n//s > s:\n        return n//s\n    ns = n - s * 1.0\n    for i in range(sq+1,0,-1):\n        b = ns / i + 1\n        if b != int(b) or b < 2:\n            continue\n        b = int(b)\n        if g(n, b) == s:\n            return b\n    return -1\n\nprint((f()))\n", "from math import sqrt\n\n\ndef f(b, n):\n    if n < b:\n        return n\n    else:\n        return f(b, int(n / b)) + n % b\n\n\nn = int(input())\ns = int(input())\n\nif n < s:\n    print(-1)\n    return\nif n == s:\n    print(n+1)\n    return\n\nfor b in range(2, int(sqrt(n))+1):\n    if f(b, n) == s:\n        print(b)\n        return\n\nfor p in reversed(range(1, int(sqrt(n)+1))):\n    if (n - s) % p == 0:\n        b = int((n - s) / p + 1)\n        if f(b, n) == s:\n            print(b)\n            return\n\nprint(-1)", "def digitsum(n,b):\n    if n < b:\n        return n\n    else:\n        return digitsum(n//b,b) + n%b \n\nn = int(input())\ns = int(input())\ninf = float('inf')\nans = inf\n\nfor i in range(2,int(n**(1/2))+2):\n    if digitsum(n,i) == s:\n        ans = i\n        break\nif n == s:\n    ans = n+1\nelse:\n    for i in range(1,int(n**(1/2))):\n        if i*i-i >= n-s:\n            break\n        if (n-s) % i == 0:\n            if s-i >= (n-s)//i +1 or i > s:\n                continue\n            ans = min(ans,((n-s)//i)+1)\n            \nif ans == inf:\n    print((-1))\nelse:\n    print((int(ans)))\n", "import sys\nstdin = sys.stdin\n \nsys.setrecursionlimit(10**5) \n \ndef li(): return map(int, stdin.readline().split())\ndef li_(): return map(lambda x: int(x)-1, stdin.readline().split())\ndef lf(): return map(float, stdin.readline().split())\ndef ls(): return stdin.readline().split()\ndef ns(): return stdin.readline().rstrip()\ndef lc(): return list(ns())\ndef ni(): return int(stdin.readline())\ndef nf(): return float(stdin.readline())\n\nfrom math import floor, sqrt\n\ndef digit_sum(num:int, base:int) -> int:\n\n    if num < base:\n        return num\n    else:\n        return digit_sum(int(num/base), base) + (num % base)\n    \nn = ni()\ns = ni()\n\nroot = floor(sqrt(n))\nans = float(\"inf\")\n\n# 3\u6841\u4ee5\u4e0a\nfor p in range(2, root+1):\n    ds = digit_sum(n,p)\n    if ds == s:\n        ans = min(ans, p)\n        \n\n# 2\u6841\nfor a in range(1,root+2):\n    p = (n-s+a) / a\n    b = s - a\n    if p == int(p) and 0 < a < p and 0 <= b < p:\n        ans = min(ans, int(p))\n\n# 1\u6841\nif n == s:\n    ans = min(ans, n+1)\n    \nprint(-1) if ans == float(\"inf\") else print(ans)", "n=int(input())\ns=int(input())\nans=-1\ndef f(a,x):\n  if a>x:\n    return x\n  else:\n    return f(a,x//a)+(x%a)\n  \nfor i in range(2,int(n**(1/2))+1):\n  if ans<0 and f(i,n)==s:\n    ans=i\n  \n\nfor p in range(1,int(n**(1/2))+1)[::-1]:\n  if ans<0:\n    if s-p>=0 and (n+p-s)%p==0:\n      b=(n+p-s)//p\n      if b>=p+1 and b>=s-p+1:\n        ans=b\n    \nif ans<0 and n==s:\n  ans=(n+1)\n\nprint(ans)\n\n\n  \n\n", "def f(b, n):\n    if n < b:\n        return n\n    else:\n        q, r = divmod(n, b)\n        return f(b, q) + r\n\nn = int(input())\ns = int(input())\nif n == s:\n    print(n+1)\nelse:\n    b = 2\n    while b*b <= n:\n        if f(b, n) == s:\n            print(b)\n            break\n        b += 1\n    else:\n        p = 1\n        ans = 10**13\n        while p*p <= n:\n            b = (n - s) // p + 1\n            if p < b and s - p < b and f(b, n) == s:\n                ans = min(ans, b)\n            p += 1\n        if ans == 10**13:\n            print(-1)\n        else:\n            print(ans)", "n=int(input())\ns=int(input())\ndef fun(b,n):\n    if n<b:\n        return n\n    else:\n        return fun(b,n//b)+n%b\nif n<s:\n    print(-1)\nelif n==s:\n    print(n+1)\nelse:\n    for b in range(2,int(n**0.5)+1):\n        if fun(b,n)==s:\n            print(b)\n            return\n    yaku=set()\n    for x in range(1,int((n-s)**0.5)+1):\n        if (n-s)%x==0:\n            yaku|={x,(n-s)//x}\n    ans=n+2\n    for k in yaku:\n        b=(n-s)//k+1\n        l=s-k\n        if 0<=l<b and n<b**2 and k+l==s:\n            ans=min(ans,b)\n    if ans>n:\n        print(-1)\n    else:\n        print(ans)", "# -*- coding: utf-8 -*-\nfrom math import sqrt\nn = int(input())\ns = int(input())\n\ndef f(b, n):\n    ans = 0\n    while n >= b:\n        ans += n%b\n        n = n//b\n    return ans + n\n\nif n==s:\n    print(n+1)\n    return\n\nfor b in range(2, int(sqrt(n))+1):\n    if f(b, n) == s:\n        print(b)\n        break\nelse:\n    for p in range(1, int(sqrt(n))+1)[::-1]:\n        d, m = divmod(p+n-s, p)\n        if m == 0 and d >= 2 and f(d, n) == s:\n            print(d)\n            break\n    else:\n        print(-1)", "import math\n\nn = int(input())\ns = int(input())\n\nif n == 1:\n    if s == 1:\n        print((2))\n    else:\n        print((-1))\n    return\n\nif n == s:\n    print((n + 1))\n    return\n\nif n < s:\n    print((-1))\n    return\n\n\ndef ds(N, b):\n    ret = 0\n    while True:\n        N, mod = divmod(N, b)\n        ret += mod\n        if N == 0:\n            return ret\n\n\ni = 0\nfor i in range(2, math.floor(n**(1/2)) + 1):\n    if ds(n, i) == s:\n        print(i)\n        return\n\nif i == 0:\n    i = math.floor(n**(1/2))\nc = n // (i + 1)\nfor i in range(c, 0, -1):\n    if (n-s) % i == 0:\n        b = (n-s)//i + 1\n        if i < b and 0 <= s-i < b:\n            print(b)\n            return\n\nprint((-1))\n", "import math\nn=int(input())\ns=int(input())\n\ndef f(b,n):\n    if n<b:\n        return n\n    else:\n        return f(b,n//b)+(n%b)\n\n\ndef abc(N,S):\n    if N==S:\n        return N+1\n    else:\n        for b in range(2,int(math.sqrt(N))+2):\n            if f(b,N)==S:\n                return b\n        tmp=-1\n        for p in range(1,int(math.sqrt(N))+2):\n            if (N-S)%p!=0:\n                continue\n            b=(N-S)//p+1\n            if b<=1:\n                continue\n            if f(b,N)==S:\n                tmp=b\n        return tmp\nans=abc(n,s)\nprint(ans)", "# coding: utf-8\n# Your code here!\nimport sys\nread = sys.stdin.read\nreadline = sys.stdin.readline\n\nn,s = list(map(int,read().split()))\n\ndef f(b,n):\n    r = 0\n    while n:\n        r += n%b\n        n//= b\n    return r\n\nM = 4*10**5\n\nans = -1\nfor i in range(2,M):\n    if f(i,n) == s:\n        print(i)\n        break\nelse:\n    for x in range(M,0,-1):\n        if (n-s)%x==0:\n            b = (n-s)//x + 1\n            #print(b)\n            if x < b and 0 <= s-x < b:\n                print(b)\n                break\n    else:\n        if n==s:\n            print((n+1))\n        else:\n            print((-1))\n    \n    \n    \n    \n    \n", "import sys\n\nMAX = 1000000\n\n\ndef digit_sum(n, b):\n    if n == 0:\n        return 0\n    else:\n        return digit_sum(n // b, b) + n % b\n\n\ndef __starting_point():\n    n = int(input())\n    s = int(input())\n\n    if n < s:\n        print((-1))\n        return\n\n    ans = -1\n\n    for b in range(2, min(n + 1, MAX) + 1):\n        sm = digit_sum(n, b)\n        if sm == s:\n            ans = b\n            break\n\n    if ans != -1:\n        print(ans)\n        return\n\n    if n + 1 <= MAX:\n        print((-1))\n        return\n\n    for p in reversed(list(range(1, MAX))):\n        if (n - s) % p != 0:\n            continue\n        b = (n - s) // p + 1\n        if b < 2:\n            continue\n        sm = digit_sum(n, b)\n        if sm == s:\n            ans = b\n            break\n\n    if ans != -1:\n        print(ans)\n        return\n\n    if n == s:\n        print((n + 1))\n        return\n\n    print((-1))\n\n__starting_point()", "import sys\ninput = sys.stdin.readline\n\ndef digit_sum(n, b):\n    if b == 1:\n        return n\n    res = 0\n    while n > 0:\n        res += n % b\n        n //= b\n    return res\n\ndef main():\n    n = int(input())\n    s = int(input())\n    \n    ans = -1\n    if n == s:\n        ans = n + 1\n    else:\n        for b in range(2, int(n**0.5) + 1):\n            if digit_sum(n, b) == s:\n                ans = b\n                break\n        \n        else:\n            for p in range(1, int(n**0.5)+1):\n                b = (n - s) // p + 1\n                if b >= 2 and digit_sum(n, b) == s:\n                    if ans == -1:\n                        ans = b\n                    else:\n                        ans = min(ans, b)\n                \n                if b >= 1 and digit_sum(n, b+1) == s:\n                    if ans == -1:\n                        ans = b+1\n                    else:\n                        ans = min(ans, b+1)\n\n    print(ans)\n\n\n\ndef __starting_point():\n    main()\n\n__starting_point()", "from math import floor\nfrom math import sqrt\n\ndef f(bb,nn):\n    if(nn<bb): return nn\n    else: return f(bb,floor(nn/bb))+(nn%bb)\n        \n\nn=int(input())\ns=int(input())\n\nif n==s:\n    print((n+1))\n    return\nelif n<s:\n    print((-1))\n    return\n\nfor i in range(2,int(sqrt(n))+2):\n    if s==f(i,n):\n        print(i)\n        return\n\nfor i in reversed(list(range(1,int(sqrt(n))+2))):\n    if (n-s)%i == 0:\n        tmpb=(n-s)//i+1\n        if tmpb >= sqrt(n) and f(tmpb,n)==s: \n            print(tmpb)\n            return\nprint((-1))\n\n", "def f(b, n):\n    return n if n < b else n % b + f(b, n // b)\n\ndef solve():\n    N, S = map(int, open(0))\n\n    if N == S:\n        return N + 1\n\n    sqr = int(N ** 0.5)\n\n    for b in range(2, sqr + 1):\n        if f(b, N) == S:\n            return b\n\n    M = N - S\n    for p in reversed(range(1, sqr + 1)):\n        b = M // p + 1\n        if b >= 2 and f(b, N) == S:\n            return b\n\n    return -1\n\n\nprint(solve())", "import math\ndef f(b,n):\n    if n<b:\n        return n\n    else:\n        return f(b,n//b)+(n%b)\nN=int(input())\nS=int(input())\nif N==S:\n    print((N+1))\nelse:\n    for b in range(2,int(math.sqrt(N))+2):\n        if f(b,N)==S:\n            print(b)\n            return\n    ans=10**13\n    for p in range(1,int(math.sqrt(N))+2):\n        if (N-S)%p!=0:\n            continue\n        b=(N-S)//p+1\n        if b<=1:\n            continue\n        if f(b,N)==S:\n            ans=b\n    if ans==10**13:\n        print((-1))\n    else:\n        print(ans)\n\n", "import sys\ninput = sys.stdin.readline\n\ndef digit_sum(n, b):\n    res = 0\n    while n > 0:\n        res += n % b\n        n //= b\n    return res\n\ndef main():\n    n = int(input())\n    s = int(input())\n    ans = -1\n\n    if n < s:\n        ans = -1\n\n    elif n == s:\n        ans = n + 1\n\n    else:\n        key = []\n        start, first = n, 1\n\n        for i in range(1, n):\n            first = digit_sum(n, start)\n            end = start - n // i // (i + 1)\n            if start == end+1:\n                judge = start\n                break\n\n            while end > 1:\n                if digit_sum(n, end) == i * (start - end) + first:\n                    end -= 1\n                    continue\n                break\n            next_start = end\n            value = digit_sum(n, start)\n            end = value + (start - end - 1) * i\n            key.append((start, value, end, i, first))\n            judge = start\n            start = next_start\n            if start == 1:\n                break\n\n        for i in range(2, judge + 1):\n            sub = digit_sum(n, i)\n            if sub == s:\n                ans = i\n                break\n        else:\n            for index, start, end, i, first in reversed(key):\n                if end < s or s < start:\n                    continue\n                if (s - start) % i:\n                    continue\n                ans = index - (s - first) // i\n                break\n\n    print(ans)\n\n\ndef __starting_point():\n    main()\n\n__starting_point()", "from math import sqrt, factorial\nfrom sys import setrecursionlimit\nsetrecursionlimit(10000000)\n\ndef inpl(): return list(map(int, input().split()))\nN = int(input())\nS = int(input())\n\nRN = int(sqrt(N)) + 1\nRN += ((RN+1)**2 == N)\n\ndef func(b, N):\n    if b <= 1:\n        return -1\n    tmp = 0\n    while N:\n        N, d = divmod(N, b)\n        tmp += d\n    return tmp\n\nfor b in range(2, RN+1):\n    tmp = func(b, N)\n    if tmp == S:\n        print(b)\n        break\nelse:\n    for x in range(RN, 0, -1):\n        b = (N-S+x)//x\n        if func(b, N) == S:\n            print(b)\n            break\n    else:\n        if func(S+1, N) == S:\n            print(S+1)\n        else:\n            print(-1)", "import math\n\nN = int(input())\nS = int(input())\n\ndef f(B, N):\n    X, res = N, 0\n    while 0 < X:\n        res += X % B\n        X //= B\n    return res\n\n\nif N == S:\n    print(N + 1)\n    return\n\ni = 2\nwhile i * i <= N:\n    if f(i, N) == S:\n        print(i)\n        return\n    i += 1\n\nsqrtN = math.floor(math.sqrt(N))\ni = 1\nans = -1\nwhile i * i < N:\n    if (N - S) % i != 0:\n        i += 1\n        continue\n    b = (N - S) // i + 1\n    if sqrtN < b and f(b, N) == S:\n        ans = b\n    i += 1\n\nprint(-1 if ans == -1 else ans)", "def f(b, n):\n    if n < b:\n        return n\n    else:\n        return f(b, n//b) + n % b\n\nn = int(input())\ns = int(input())\nif n == s:\n    print(n + 1)\n    return\n    \nfor i in range(2, int(n**0.5) + 3):\n    if f(i, n) == s:\n        print(i)\n        return\n\nans = 10**13\nfor k in range(1, int(n**0.5) + 3):\n    if (n-s) % k != 0 or n-s < 0:\n        continue\n    b = (n-s)//k + 1\n    if b == 1:\n        continue\n    if f(b, n) == s:\n        ans = min(b, ans)\n\nif ans != 10**13:\n    print(ans)\nelse:\n    print(-1)", "import sys\ninput = sys.stdin.readline\n\ndef digit_sum(n, b):\n    res = 0\n    while n > 0:\n        res += n % b\n        n //= b\n    return res\n\ndef main():\n    n = int(input())\n    s = int(input())\n    ans = -1\n\n    if n < s:\n        ans = -1\n\n    elif n == s:\n        ans = n + 1\n\n    else:\n        key = []\n        start, first = n, 1\n\n        for i in range(1, n):\n            first = digit_sum(n, start)\n            end = start - n // i // (i + 1)\n            if start == end+1:\n                judge = start\n                break\n\n            while end > 1:\n                if digit_sum(n, end) == i * (start - end) + first:\n                    end -= 1\n                    continue\n                break\n            next_start = end\n            value = digit_sum(n, start)\n            end = value + (start - end - 1) * i\n            key.append((start, value, end, i, first))\n            judge = start\n            start = next_start\n            if start == 1:\n                break\n\n        for i in range(2, judge + 1):\n            sub = digit_sum(n, i)\n            if sub == s:\n                ans = i\n                break\n        else:\n            for index, start, end, i, first in reversed(key):\n                if end < s or s < start:\n                    continue\n                if (s - start) % i:\n                    continue\n                ans = index - (s - first) // i\n                break\n\n    print(ans)\n\n\ndef __starting_point():\n    main()\n\n__starting_point()", "def f(b,n):\n  if n<b:return n\n  return f(b,n//b)+n%b\n\nn=int(input())\ns=int(input())\n\nif n==s:\n  print(n+1)\n  return\nfor b in range(2,int(n**0.5)+1):\n  if f(b,n)==s:\n    print(b)\n    break\nelse:\n  for p in range(1,int(n**0.5)+1)[::-1]:\n    b,m=divmod(n-s+p,p)\n    if m==0 and b>=2 and f(b,n)==s:\n      print(b)\n      break\n  else:\n    print(-1)", "import itertools\nimport math \n \nn,s = [int(input()) for _ in range(2)]\n \ndef n_base_sum(n,b):\n    if(math.floor(n/b)):\n        return n_base_sum(math.floor(n/b),b)+n%b\n    else:\n        return n%b\n \ndef search_p(n,s):\n    for p in range(math.floor(math.sqrt(n))+1,0,-1):\n        b = (n-s)//p + 1\n        if b >1 :\n            q = n % b\n            if p+q ==s and q < b and n == p*b+q and p<b:\n                return b\n        \n    return -1\n \nans =-1\nflag = False\nanswers = []\nif s == n:\n    ans = n+1\n    flag =True\n    answers.append(ans)\nfor b in  range(2,math.ceil(math.sqrt(n))+1):\n    if s== n_base_sum(n,b):\n        ans = b\n        flag = True\n        answers.append(ans)\n        break\nans = search_p(n,s)\nif ans != -1:\n    flag =True\n    answers.append(ans)\n \nif not flag:\n    print(-1)\nelse:\n    print(int(min(answers)))", "n = int(input())\ns = int(input())\nif(n<s):\n    print(-1)\n    return\nelif(n==s):\n    print(n+1)\n    return\n\nlim = 10**6\nfor i in range(2,lim+1):\n    tmp = 0\n    x = n\n    while(x > 0):\n        tmp += x%i\n        x //= i\n    if(tmp==s):\n        print(i)\n        return\n\n#2\u6841\nns = n-s\ninf = 10**12\nans = inf\nfor i in range(1,ns+1):\n    if(i**2 > ns):\n        break\n\n    if(ns%i==0):\n        b = ns//i + 1\n        y = n-(b*i)\n        if(i+y==s)&(0<=y<b):\n            ans = min(ans,b)\n\nif(ans==inf):\n    print(-1)\nelse:\n    print(ans)", "#!/usr/bin/env python3\nimport sys\n\n\ndef f(n, b):\n    if n < b:\n        return n\n    else:\n        return n % b + f(n // b, b)\n\n\ndef solve(n: int, s: int):\n    if s > n:\n        return -1\n\n    if s == n:\n        return n+1\n\n    b = 2\n    while b * b <= n:\n        if f(n, b) == s:\n            return b\n        b += 1\n    \n    for p in range(b-1, 0, -1):\n        if (n - s) % p > 0:\n            continue\n\n        c = (n - s) // p + 1\n        if f(n, c) == s:\n            return c\n    \n    return -1\n\n\n# 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)\ndef main():\n    def iterate_tokens():\n        for line in sys.stdin:\n            for word in line.split():\n                yield word\n    tokens = iterate_tokens()\n    n = int(next(tokens))  # type: int\n    s = int(next(tokens))  # type: int\n    print((solve(n, s)))\n\ndef __starting_point():\n    main()\n\n__starting_point()", "from itertools import product\n\ndef read():\n  return int(input())\n\ndef reads():\n  return [int(x) for x in input().split()]\n\ndef primes(n):\n    numbers = set(range(n, 1, -1))\n    primes = []\n    while numbers:\n        p = numbers.pop()\n        primes.append(p)\n        numbers.difference_update(set(range(p*2, n+1, p)))\n    return sorted(primes)\n\nPRIMES = primes(10**6)\n\ndef pfact(x):\n  res = dict()\n  while x > 1:\n    for p in PRIMES:\n      if p >= x**0.5 + 1:\n        res[x] = res.get(x, 0) + 1\n        x = 1\n        break\n      if x % p == 0:\n        res[p] = res.get(p, 0) + 1\n        x //= p\n        break\n  return res\n\ndef prod(xs):\n  res = 1\n  for x in xs:\n    res *= x\n  return res\n\ndef divisors(n):\n  P = list(pfact(n).items())\n  res = []\n  for ds in product(*[list(range(e+1)) for (p, e) in P]):\n    res.append(prod(P[i][0]**ds[i] for i in range(len(P))))\n  return sorted(res)\n\ndef f(b, n):\n  return 0 if n == 0 else f(b, n//b) + n % b\n\nn = read()\ns = read()\n\nif n < s:\n  print((-1)); return\n\nif n == s:\n  print((s+1)); return\n\nfor x in divisors(abs(n-s)):\n  b = x + 1\n  if f(b, n) == s:\n    print(b); return\n\nprint((-1))\n", "# coding :utf-8\nimport math\n\nnum_N = int(input())\nnum_S = int(input())\n\n\ndef get_s(n, b):\n    s = 0\n    while n > 0:\n        s += n % b\n        n //= b\n    return s\n\n\ndef solve():\n    if num_S == num_N:\n        return num_N + 1\n\n    num_sqr = int(math.sqrt(num_N))\n    for i in range(2, num_sqr + 1):\n        if get_s(num_N, i) == num_S:\n            return i\n\n    if num_N % num_S == 0 and num_N // num_S > num_S:\n        return num_N // num_S\n\n    num_dif = num_N - num_S\n    for i in range(num_sqr + 1, 0, -1):\n        b = num_dif / i + 1\n        if b != int(b) or b < 2:\n            continue\n        b = int(b)\n        if get_s(num_N, b) == num_S:\n            return b\n    return -1\n\n\nprint((solve()))\n", "def f(b, n):\n  if n < b:\n    return n\n  return f(b, n//b) + (n % b)\n\nN = int(input())\nS = int(input())\n\ndef factors(n):\n  ans = []\n  cur = 1\n  while cur * cur <= n:\n    if n % cur == 0:\n      ans.append(cur)\n      if (cur * cur != n):\n        ans.append(n//cur)\n    cur += 1\n  return ans\n\nMAX_S = 5 * 10**5\ndef solve(n, s):\n  b = 2\n  while b*b <= n:\n    if f(b, n) == s:\n      return b\n    b += 1\n  \n  if n < s:\n    return -1\n  if n == s:\n    return n+1\n  facs = factors(n-s)\n  \n  for fac in sorted(facs):\n    b = fac + 1\n    if b * b <= n:\n      continue\n    alpha = (n - s) // fac\n    beta = s - alpha\n    if alpha >=0 and alpha < b and beta >=0 and beta < b:\n      return b\n  \n  \n  return -1\n\nprint((solve(N,S)))\n", "from math import floor, sqrt\n\ndef f(b, n):\n    if n < b:\n        return n\n    else:\n        return f(b, n // b) + n % b\n\ndef solve(n, s):\n    if s > n:\n        return -1\n    elif s == n:\n        return n + 1\n\n    for b in range(2, floor(sqrt(n)) + 1):\n        if f(b, n) == s:\n            return b\n\n    for p in reversed(list(range(1, floor(sqrt(n)) + 1))):\n        if (n - s) % p == 0:\n            b = (n - s) // p + 1\n            if f(b, n) == s:\n                return b\n\n    return -1\n\n\nn = int(input())\ns = int(input())\n\nprint((solve(n, s)))\n", "def main():\n    n = int(input())\n    s = int(input())\n\n    def check(a, i):\n        ans = 0\n        while a:\n            ans += a % i\n            a //= i\n        return ans\n\n    for i in range(2, int(n**0.5)+2):\n        if check(n, i) == s:\n            print(i)\n            return 0\n    for i in range(int(n**0.5), 0, -1):\n        if (n-s) % i == 0:\n            b = (n-s)//i+1\n            x = s-i\n            if x < 0:\n                continue\n            if b > x:\n                print(b)\n                return 0\n    if n == s:\n        print((n+1))\n    else:\n        print((-1))\n\n\nmain()\n", "from math import floor, sqrt\n\ndef f(b, n):\n    if n < b:\n        return n\n    else:\n        return f(b, n // b) + n % b\n\ndef solve(n, s):\n    if s > n:\n        return -1\n    elif s == n:\n        return n + 1\n\n    for b in range(2, floor(sqrt(n)) + 1):\n        if f(b, n) == s:\n            return b\n\n    for p in reversed(list(range(1, floor(sqrt(n)) + 1))):\n        if (n - s) % p == 0:\n            b = (n - s) // p + 1\n            q = n - p * b\n            if 1 <= p < b and 0 <= q < b:\n                return b\n\n    return -1\n\n\nn = int(input())\ns = int(input())\n\nprint((solve(n, s)))\n", "def sum_digit(b, n):\n    if n < b:\n        return n\n    return sum_digit(b, n // b) + n % b\n\nN = int(input())\nS = int(input())\n\nif S > N:\n    print((-1))\nelif S == N:\n    print((N + 1))\nelse:\n    sqrt = int(pow(N, 0.5))\n    for b in range(2, sqrt + 1):\n        if sum_digit(b, N) == S:\n            print(b)\n            return\n    for k in reversed(list(range(1, sqrt + 1))):\n        if (N - S) % k == 0:\n            b = (N - S) // k + 1\n            if sum_digit(b, N) == S:\n                print(b)\n                return\n    print((-1))\n", "from math import sqrt\n\nn = int(input())\ns = int(input())\n\n#n\u3092b\u9032\u6cd5\u8868\u8a18\u3057\u305f\u3068\u304d\u306e\u6841\u548c\ndef f(b, n):\n    res = 0\n    while n:\n        res += n % b\n        n //= b\n    return res\n    \n# s = n\nif s == n:\n    print(n+1)\n    return\n\n \n# 2 <= b <= sqrt(n)\nfor b in range(2, int(sqrt(n))+1):\n    if f(b, n) == s:\n        print(b)\n        return\n \n# sqrt(n) <= b <= n\nfor p in range(int(sqrt(n)), 0, -1):\n    if (n - s) % p > 0:\n        continue\n    b = (n - s) // p + 1\n    if b*b <= n:\n        continue\n    if f(b, n) == s:\n        print(b)\n        return\nprint(-1)", "def f(_b, _n):\n    ret = 0\n    while _n > 0:\n        ret += _n % _b\n        _n = _n // _b\n    return ret\nINF = 10 ** 12\n\nn = int(input())\ns = int(input())\n\nans = INF\nif n >= s:\n    max_digits = len(str(bin(n))) - 2\n    # 3\u6841\u307e\u3067\n    for k in range(max_digits, 2, -1):\n        min_b = max(2, -(int(- (n ** (1 / k)))))\n        max_b = int((n - s + 1) ** (1 / (k - 1)))\n        for b in range(min_b, max_b + 1, 1):\n            if f(b, n) == s:\n                ans = b\n                break\n        if ans != INF:\n            break\n\n    if ans == INF:\n        # 2\u6841\n        for a1 in range(1, s + 1):\n            if (n - s) < (a1 - 1) * a1:\n                break\n            if (n - s) % a1 == 0:\n                a0 = s - a1\n                b = (n - a0) // a1\n                if a0 < b and a1 < b and (b * a1) == (n - a0) and b < ans:\n                    ans = b\n\n    if ans == INF:\n        # 1\u6841\n        if n == s:\n            ans = n + 1\nif ans == INF:\n    ans = -1\n\nprint(ans)\n", "import sys\ninput = lambda : sys.stdin.readline().rstrip()\nsys.setrecursionlimit(max(1000, 10**9))\nwrite = lambda x: sys.stdout.write(x+\"\\n\")\n\n\nn = int(input())\ns = int(input())\ndef sub(n, b):\n    \"\"\"n\u306eb\u9032\u6570\u8868\u8a18\u3057\u305f\u3068\u304d\u306e\u5404\u6841\n    n = sum(pow(b,i) * ans[i])\n    \"\"\"\n    ans = []\n    while n>0:\n        n,v = divmod(n, b)\n        ans.append(v)\n    return ans\nans = None\nfor b in range(2,n+1):\n    if b**2>n:\n        break\n    if sum(sub(n, b))==s:\n        ans = b\n        break\nif ans is None:\n    ans = float(\"inf\")\n    if n==s:\n        ans = s+1\n    for p in range(1,n+1):\n        if p**2>n:\n            break\n        if (n+p-s)%p==0:\n            b = (n+p-s)//p\n            q = s - p\n            if b**2>n and 0<=q<b and p<b and b*p+q==n and p+q==s:\n                ans = min(ans, b)\n            else:\n                continue\nif ans is None or ans==float(\"inf\"):\n    ans = -1\nprint(ans)", "def digit_sum(n, s):\n    if s > n:\n        return -1\n    if s == n:\n        return n + 1\n\n    b = 2\n    while b**2 < n:\n        if f(b, n) == s:\n            return b\n\n        b += 1\n\n    p = int(n ** 0.5)\n    while p >= 1:\n        b = (n - s) // p + 1\n        if b > 1 and f(b, n) == s:\n            return b\n        \n        p -= 1\n\n    return -1\n\n\ndef f(b, n):\n    if n < b:\n        return n\n\n    return f(b, n // b) + (n % b)\n\ndef solve():\n    n = int(input())\n    s = int(input())\n    result = digit_sum(n, s)\n    print(result)\n\nsolve()\n", "import sys\nstdin = sys.stdin\n \nsys.setrecursionlimit(10**5) \n \ndef li(): return map(int, stdin.readline().split())\ndef li_(): return map(lambda x: int(x)-1, stdin.readline().split())\ndef lf(): return map(float, stdin.readline().split())\ndef ls(): return stdin.readline().split()\ndef ns(): return stdin.readline().rstrip()\ndef lc(): return list(ns())\ndef ni(): return int(stdin.readline())\ndef nf(): return float(stdin.readline())\n\ndef digit_sum(num:int, base:int) -> int:\n\n    if num < base:\n        return num\n    else:\n        return digit_sum(int(num/base), base) + (num % base)\n\nn = ni()\ns = ni()\n\nans = -1\n\nif s > n:\n    ans = -1\n  \nelif s == n:\n    ans = n+1\n    \nelse:\n    base = 2\n    exist = False\n    while base*base <= n:\n        ds = digit_sum(n,base)\n        if ds == s:\n            ans = base\n            exist = True\n            break\n        \n        base += 1\n        \n    \n    if not exist:\n        for p in range(base,0,-1):\n            if (n-s+p)%p == 0 and s-p >= 0:\n                b = (n-s+p)//p\n                if b > p and b > s-p:\n                    ans = b\n                    exist = True\n                    break\n            \nprint(ans)", "n = int(input())\ns = int(input())\nif n == s:\n    print(n + 1)\n    return\n\nm = abs(n-s)\n\na = set()\ni = 1\nwhile i * i <= m:\n    if m % i == 0:\n        a.add(i)\n        a.add(m // i)\n    i += 1\n\nfor i in sorted(list(a)):\n    i += 1\n    su = 0\n    nn = n\n    while nn:\n        su += nn % i\n        nn //= i\n    if su == s:\n        print(i)\n        break\nelse:\n    print(-1)", "import math\n\n\ndef f(b, n):\n    if n < b:\n        return n\n    else:\n        return f(b, n//b) + n % b\n\n\ndef main():\n    n = int(input())\n    s = int(input())\n    if s == n:\n        print((n+1))\n        return\n    elif s > n:\n        print((-1))\n        return\n    sqrt = int(math.sqrt(n))\n    for b in range(2, sqrt+2):\n        if f(b, n) == s:\n            print(b)\n            return\n    for x in range(sqrt, 0, -1):\n        if x > s:\n            continue\n        y = s - x\n        b = (n - y) // x\n        if b >= 2 and (n - y) % x == 0 and f(b, n) == s:\n            print(b)\n            return\n    print((-1))\n\n\ndef __starting_point():\n    main()\n\n__starting_point()", "n=int(input())\ns=int(input())\nr=int(n**0.5)\nfor b in range(2,r+10):\n\tm=n\n\tt=0\n\twhile m:\n\t\tt+=m%b\n\t\tm//=b\n\tif t==s:\n\t\tprint(b)\n\t\treturn\nfor p in range(1,r)[::-1]:\n\tq=s-p\n\tb=1+(n-s)//p\n\tif 1<=p<b and 0<=q<b and(n-s)%p==0:\n\t\tprint(b)\n\t\treturn\nif n==s:\n\tprint((n+1))\n\treturn\nprint((-1))\n", "import math\nn = int(input())\ns = int(input())\ndef solve(n, s):\n    if n == s:\n        return n+1\n    for b in range(2, math.floor(n**0.5)+1):\n        tmp = n\n        res = 0\n        while tmp>=b:\n            res+=tmp%b\n            tmp //=b\n        res += tmp\n        if res == s:\n            return b\n    for p in range(int(n**0.5), 0, -1):\n        r = s-p\n        if r<0:\n            continue\n        if (n-r)%p == 0:\n            b = (n-r)//p\n            if r<b and b*b>n:\n                return b\n    return -1\nprint(solve(n, s))", "import math\n\n\ndef f(b, n):\n    if n < b:\n        return n\n    else:\n        return f(b, n//b) + (n % b)\n\n\ndef build_div(x):\n    i = 1\n    ret = []\n    if x < 0:\n        return ret\n    while True:\n        if i*i > x:\n            break\n        if x % i == 0:\n            ret.append(i)\n            ret.append(x//i)\n        i += 1\n    return sorted(ret)\n\n\nn = int(input())\ns = int(input())\nb = -1\nif n == s:\n    print((n+1))\nelse:\n    for i in range(2, math.ceil(math.sqrt(n))):\n        if f(i, n) == s:\n            b = i\n            print(b)\n            break\n    if b == -1:\n        div = build_div(n-s)\n        for i in div:\n            if f(i+1, n) == s:\n                b = i+1\n                print(b)\n                break\n    if b == -1:\n        print((-1))\n", "from math import sqrt,ceil\n\n\ndef bisect(ng, ok, judge, eps=1):\n    while abs(ng-ok) > eps:\n        m = (ng+ok)//2\n        if judge(m):\n            ok = m\n        else:\n            ng = m\n    return ok\n\nfrom functools import reduce\nimport operator\nint_product = lambda it: reduce(operator.mul,it,1)\nfrom itertools import product\nfrom collections import Counter\n\n# \u7d20\u56e0\u6570\u5206\u89e3\ndef prime_factors(n):\n    i = 2\n    while i * i <= n:\n        if n % i:\n            i += 1\n        else:\n            n //= i\n            yield i\n    if n > 1:\n        yield n\n\n# \u7d04\u6570\u5217\u6319\ndef divisors(n):\n    fac_pow = Counter(prime_factors(n))\n    fac = tuple(fac_pow.keys())\n    for pp in product(*(range(p+1) for p in fac_pow.values())):\n        yield int_product(f**p for f,p in zip(fac,pp))\n\n\n\ndef f(x, b):\n    cnt = 0\n    while x:\n        cnt += x%b\n        x //= b\n    return cnt\n\ndef solve(n,s):\n    if n == s:\n        return n+1\n    if n < s:\n        return -1\n    for b in range(2,ceil(sqrt(n))+2):\n        if f(n,b) == s:\n            return b\n    for d in sorted(divisors(n-s)):\n        b = d+1\n        if f(n,b) == s:\n            return b\n    return -1\n\n\nn = int(input())\ns = int(input())\nprint(solve(n,s))", "def solve():\n    n = int(input())\n    s = int(input())\n    if n == s:\n        print((n + 1))\n        return \n    ret = float(\"inf\")\n    sqrt = int(n ** 0.5)\n    for i in range(2, sqrt + 1):\n        tmp = 0\n        tn = n \n        while tn:\n            tmp += tn % i \n            tn //= i \n        if tmp == s:\n            ret = i \n            break \n\n    if ret == float(\"inf\") and n > s:\n        t = n - s \n        sqrt1 = int(t ** 0.5)\n        for i in range(1, min(s, sqrt1) + 1):\n            if t % i == 0 and s - i <= t // i and t // i + 1 > sqrt:\n                ret = min(ret, t // i + 1)\n    print((ret if ret != float(\"inf\") else -1)) \n\nsolve()\n\n", "import sys\n\nMAX = 1000000\n\n\ndef digit_sum(n, b):\n    if n == 0:\n        return 0\n    else:\n        return digit_sum(n // b, b) + n % b\n\n\ndef main():\n    n = int(input())\n    s = int(input())\n\n    if n < s:\n        print((-1))\n        return\n\n    ans = -1\n\n    for b in range(2, min(n + 1, MAX) + 1):\n        sm = digit_sum(n, b)\n        if sm == s:\n            ans = b\n            break\n\n    if ans != -1:\n        print(ans)\n        return\n\n    if n + 1 <= MAX:\n        print((-1))\n        return\n\n    for p in reversed(list(range(1, MAX))):\n        if (n - s) % p != 0:\n            continue\n        b = (n - s) // p + 1\n        if b < 2:\n            continue\n        sm = digit_sum(n, b)\n        if sm == s:\n            ans = b\n            break\n\n    if ans != -1:\n        print(ans)\n        return\n\n    if n == s:\n        print((n+1))\n        return\n\n    print((-1))\n\n\ndef __starting_point():\n    main()\n\n__starting_point()", "n=int(input())\ns=int(input())\nr=int(n**0.5)\nfor b in range(2,r+2):\n  m=n\n  t=0\n  while m:\n    t+=m%b\n    m//=b\n  if t==s:\n    print(b)\n    return\nfor p in range(1,r)[::-1]:\n  q=s-p\n  b=1+(n-s)//p\n  if 1<=p<b and 0<=q<b and (n-s)%p==0:\n    print(b)\n    return\nif n==s:\n  print(n+1)\n  return\nprint(-1)", "from math import sqrt\nimport sys\nsys.setrecursionlimit(10**6)\ndef f(b, n):\n\tif n < b:\n\t\treturn n\n\telse:\n\t\treturn f(b, n // b) + n % b\n\nn = int(input())\ns = int(input())\n\nif n < s:\n\tprint(-1)\nelif n == s:\n\tprint(n+1)\nelse:\n\tdivs = []\n\tfor i in range(1, int(sqrt(n-s))+1):\n\t\tif (n-s)%i == 0:\n\t\t\tdivs.append(i)\n\t\t\tif i != (n-s)//i:\n\t\t\t\tdivs.append((n-s)//i)\n\tdivs.sort()\n\tfor d in divs:\n\t\tif f(d+1, n) == s:\n\t\t\tprint(d+1)\n\t\t\tbreak\n\telse:\n\t\tprint(-1)", "import sys\nsys.setrecursionlimit(10 ** 7)\n\nN = int(input())\nS = int(input())\n\nif N == S:\n    print(N + 1)\n    return\n\ndef f(b, n):\n    if n < b:\n        return n\n    return f(b, n // b) + n % b\n\nans = float('inf')\n\nfor b in range(1, int(N**0.5) + 100):\n    if b > 1 and f(b, N) == S:\n        ans = min(ans, b)\n\n    q = S - b\n    b = (N - q) // b\n    if b > 1 and f(b, N) == S:\n        ans = min(ans, b)\n\nif ans == float('inf'):\n    print(-1)\nelse:\n    print(ans)", "n, s = [int(input()) for _ in range(2)]\ndef f(b, n):\n    if n < b:\n        return n\n    return f(b, n // b) + n % b\n\nif n == s:\n    print(n + 1)\n    return\n\nfor i in range(2, int(n ** .5) + 1):\n    if s == f(i, n):\n        print(i)\n        return\n\nfor i in reversed(range(1, int(n ** .5) + 1)):\n    b = (n - s) // i + 1\n    if b > 1 and s == f(b, n):\n        print(b)\n        return\nprint(-1)", "import sys\n\nMAX = 1000000\n\n\ndef digit_sum(n, b):\n    if n == 0:\n        return 0\n    else:\n        return digit_sum(n // b, b) + n % b\n\n\ndef main():\n    n = int(input())\n    s = int(input())\n\n    if n < s:\n        print((-1))\n        return\n\n    ans = -1\n\n    for b in range(2, min(n + 1, MAX) + 1):\n        sm = digit_sum(n, b)\n        if sm == s:\n            ans = b\n            break\n\n    if ans != -1:\n        print(ans)\n        return\n\n    if n + 1 <= MAX:\n        print((-1))\n        return\n\n    for p in reversed(list(range(1, MAX))):\n        if (n - s) % p != 0:\n            continue\n        b = (n - s) // p + 1\n        if b < 2:\n            continue\n        sm = digit_sum(n, b)\n        if sm == s:\n            ans = b\n            break\n\n    if ans != -1:\n        print(ans)\n        return\n\n    if n == s:\n        print((n+1))\n        return\n\n    print((-1))\n\n\ndef __starting_point():\n    main()\n\n__starting_point()", "from math import sqrt\n\ndef digitsum(b,n):\n    if b>n:\n        return n\n    else:\n        return digitsum(b,n//b)+n%b\n\ndef divisors(M):#M\u306e\u7d04\u6570\u5217 O(n^(0.5+e))\n    import math\n    d=[]\n    i=1\n    while math.sqrt(M)>=i:\n        if M%i==0:\n            d.append(i)\n            if i**2!=M:\n                d.append(M//i)\n        i=i+1\n    d.sort()\n    return d\n\nn=int(input());s=int(input())\nif 0>n-s:\n    print((-1))\nelse:\n    m=int(sqrt(n))\n    for b in range(2,m+1):\n        if digitsum(b,n)==s:\n            print(b)\n            break\n    else:\n        d=divisors(n-s)\n        for i in d:\n            if i>=m and s>=(n-s)//i and i+1>(s-(n-s)//i):\n                print((i+1))\n                break\n        else:\n            if n==s:\n                print((n+1))\n            else:\n                print((-1))\n", "import collections\nN = int(input())\nS = int(input())\n\nif N == S:\n    print((N + 1))\n    return\n\n\ndef prime_decomposition(n):\n    i = 2\n    ret = collections.defaultdict(int)\n    while i * i <= n:\n        while n % i == 0:\n            n //= i\n            ret[i] += 1\n        i += 1\n    if n > 1:\n        ret[n] = 1\n    return ret\n\n\ndef digitsum(x, f):\n    if x < f:\n        return x\n    else:\n        return x % f + digitsum(x // f, f)\n\n\nfs_dict = prime_decomposition(N - S)\nfs_set = set([1])\n\nfor p, n in list(fs_dict.items()):\n    fs_set_copy = fs_set.copy()\n    for i in range(1, n + 1):\n        for x in fs_set_copy:\n            fs_set.add(x * p**i)\nfor f in sorted(fs_set):\n    f += 1\n    if digitsum(N, f) == S:\n        print(f)\n        return\nelse:\n    print((-1))\n", "import math\n\nN = int(input())\nS = int(input())\n\ndef f(B, N):\n    X, res = N, 0\n    while 0 < X:\n        res += X % B\n        X //= B\n    return res\n\n\nif N == S:\n    print(N + 1)\n    return\n\ni = 2\nwhile i * i <= N:\n    if f(i, N) == S:\n        print(i)\n        return\n    i += 1\n\nsqrtN = math.floor(math.sqrt(N))\ni = 1\nans = []\nwhile i * i < N:\n    if (N - S) % i != 0:\n        i += 1\n        continue\n    b = (N - S) // i + 1\n    if sqrtN < b and f(b, N) == S:\n        ans.append(b)\n    i += 1\n\nprint(-1 if len(ans) == 0 else min(ans))", "from itertools import product\n\ndef read():\n  return int(input())\n\ndef reads():\n  return [int(x) for x in input().split()]\n\nPRIMES = [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, 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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]\n\ndef pfact(x):\n  res = dict()\n  while x > 1:\n    for p in PRIMES:\n      if p >= x**0.5 + 1:\n        res[x] = res.get(x, 0) + 1\n        x = 1\n        break\n      if x % p == 0:\n        res[p] = res.get(p, 0) + 1\n        x //= p\n        break\n  return res\n\ndef prod(xs):\n  res = 1\n  for x in xs:\n    res *= x\n  return res\n\ndef divisors(n):\n  P = list(pfact(n).items())\n  res = []\n  for ds in product(*[list(range(e+1)) for (p, e) in P]):\n    res.append(prod(P[i][0]**ds[i] for i in range(len(P))))\n  return sorted(res)\n\ndef f(b, n):\n  return 0 if n == 0 else f(b, n//b) + n % b\n\nn = read()\ns = read()\n\n# n == s mod (b-1) \u306a\u306e\u3067\u3001\n# (b-1) \u306f (n-s) \u306e\u7d04\u6570\n\nif n < s:\n  print((-1)); return\n\nif n == s:\n  print((s+1)); return\n\nfor x in divisors(abs(n-s)):\n  b = x + 1\n  # print(b)\n  if f(b, n) == s:\n    print(b); return\n    # pass\n\nprint((-1))\n", "import math\nn = int(input())\ns = int(input())\n\nif n == s:\n    print((n+1))\n    return\n\ndef f(b, n):\n    ret = 0\n    while n > 0:\n        ret += n % b\n        n = n // b\n    return ret\n\nfor i in range(2, int(math.sqrt(n)+2)):\n    t = f(i, n)\n    if s == t:\n        print(i)\n        return\n\nans = 10**18\n\nfor x in range(1, int(math.sqrt(n)+10)):\n    y = s - x\n    b = (n-s)//x+1\n    if x < b and y < b and f(b, n) == s:\n        ans = min(ans, b)\nif ans == 10**18:\n    ans = -1\nprint(ans)\n", "import sys\ninput = sys.stdin.readline\n\ndef digit_sum(n, b):\n    if b == 1:\n        return n\n    res = 0\n    while n > 0:\n        res += n % b\n        n //= b\n    return res\n\ndef main():\n    n = int(input())\n    s = int(input())\n    \n    ans = -1\n    if n == s:\n        ans = n + 1\n    else:\n        for b in range(2, int(n**0.5) + 1):\n            if digit_sum(n, b) == s:\n                ans = b\n                break\n        \n        else:\n            for p in range(1, int(n**0.5)+1):\n                b = (n - s) // p + 1\n                if b >= 2 and digit_sum(n, b) == s:\n                    if ans == -1:\n                        ans = b\n                    else:\n                        ans = min(ans, b)\n                \n                if b >= 1 and digit_sum(n, b+1) == s:\n                    if ans == -1:\n                        ans = b+1\n                    else:\n                        ans = min(ans, b+1)\n\n    print(ans)\n\n\n\ndef __starting_point():\n    main()\n\n__starting_point()", "import collections\nN = int(input())\nS = int(input())\n\n\ndef prime_decomposition(n):\n    i = 2\n    ret = collections.defaultdict(int)\n    while i * i <= n:\n        while n % i == 0:\n            n //= i\n            ret[i] += 1\n        i += 1\n    if n > 1:\n        ret[n] = 1\n    return ret\n\n\ndef digitsum(x, f):\n    if x < f:\n        return x\n    else:\n        return x % f + digitsum(x // f, f)\n\n\nif N == S:\n    print((N + 1))\n    return\nfs_dict = prime_decomposition(N - S)\nfs_set = set([1])\nfor p, n in list(fs_dict.items()):\n    fs_set_copy = fs_set.copy()\n    for i in range(1, n + 1):\n        for x in fs_set_copy:\n            fs_set.add(x * p**i)\nfor f in sorted(fs_set):\n    f += 1\n    if digitsum(N, f) == S:\n        print(f)\n        return\nprint((-1))\n", "import math\n\nN = int(input())\nS = int(input())\nL = N-S\n\ndef search(b, n=N):\n    ans = 0\n    while n >= b:\n        ans += n%b\n        n //= b\n    ans += n\n    return ans\n\n\ndef main():\n\n    if L < 0:\n        print(-1)\n    elif L == 0:\n        print(N+1)\n    else:\n        P = []\n        for l in range(1, int(math.sqrt(L))+2):\n            if L%l == 0:\n                P.append(l+1)\n                P.append(L//l+1)\n        P.sort()\n\n        ans = -1\n        for p in P:\n            if p == 1: continue\n            S0 = search(p)\n            if S == S0:\n                ans = p\n                break\n\n        print(ans)\n\ndef __starting_point():\n    main()\n__starting_point()", "import math\nimport sys\nn=int(input())\ns=int(input())\nroot=int(math.ceil(math.sqrt(n)))\n\nbuf=10**12\nif s==n:\n    print(n+1)\n    return\nfor i in range(1,root):\n    res=s-i\n    x=(n-res)//i\n    if x*i+res==n and x>1 and x>res and res>=0:\n        #print(x,i,res,s,n)\n        buf=min(buf,x)\n#print(buf)\nfor i in range(2,root+1):\n    count=0\n    b=n\n    while(b!=0):\n        count+=b%i\n        b=b//i\n    if count==s:\n        buf=i\n        break\nprint(buf if buf!=10**12 else -1)", "#!usr/bin/env python3\nfrom collections import defaultdict,deque\nfrom heapq import heappush, heappop\nimport sys\nimport math\nimport bisect\nimport random\ndef LI(): return [int(x) for x in sys.stdin.readline().split()]\ndef I(): return int(sys.stdin.readline())\ndef LS():return [list(x) for x in sys.stdin.readline().split()]\ndef S():\n    res = list(sys.stdin.readline())\n    if res[-1] == \"\\n\":\n        return res[:-1]\n    return res\ndef IR(n):\n    return [I() for i in range(n)]\ndef LIR(n):\n    return [LI() for i in range(n)]\ndef SR(n):\n    return [S() for i in range(n)]\ndef LSR(n):\n    return [LS() for i in range(n)]\n\nsys.setrecursionlimit(1000000)\nmod = 1000000007\n\ndef solve():\n    def f(n,b):\n        if n < b:\n            return n\n        return f(n//b, b)+(n%b)\n    n,s = IR(2)\n    if n == s:\n        print((n+1))\n        return\n    for b in range(2,10**6+2):\n        if f(n,b) == s:\n            print(b)\n            return\n    if n <= 10**6:\n        print((-1))\n        return\n    N = 10**6+1\n    for i in range(1,N)[::-1]:\n        l = (n//(i+1))+1\n        r = (n//i)+1\n        while r-l > 1:\n            m = (l+r) >> 1\n            fx = f(n,m)\n            if fx >= s:\n                l = m\n            else:\n                r = m\n        if f(n,l) == s:\n            print(l)\n            return\n    print((-1))\n    return\n\n#Solve\ndef __starting_point():\n    solve()\n\n__starting_point()", "n = int(input())\ns = int(input())\n\nsqrt = 0\nfor i in range(n+1):\n    if i*i >= n:\n        sqrt = i\n        break\n\ndef dsum(n, b):\n    ret = 0\n    while n :\n        ret += n % b\n        n //= b\n    return ret\n\n\nif s > n:\n    print((-1))\n    return\nif s == n:\n    print((n+1))\n    return\n\n# b = 2 ~ sqrt\n# \u5c11\u3057\u5148\u3092\u898b\u3066\u3082\u3044\u3044\nfor b in range(2, sqrt+1):\n    use_n = n\n    ans_tmp = dsum(n, b)\n    if ans_tmp == s:\n        print(b)\n        return\n\n# n = p*b + q\n# s = p + q\n# n = 2, s = 1 \u306a\u3089\u3001 b=2, p=1, q=0\nfor p in range(1, sqrt)[::-1]:\n    b = (n-s)//p + 1\n    if b > 1 and dsum(n, b) == s:\n        print(b)\n        return\nprint((-1))\n", "n = int(input())\ns = int(input())\n\ndef f(b, n):\n    val = 0\n    while n > 0:\n        val += n % b\n        n //= b\n    return val\n\nif s == n:\n    print(n+1)\n    return\nfor i in range(2, int(n**0.5) + 1):\n    if(f(i, n) == s):\n        print(i)\n        return\nans = 10**15\nfor i in range(1, int(n**0.5) + 1):\n    b = (n-s) // i + 1\n    if b < 2:\n        continue\n    if f(b, n) == s:\n        ans = min(ans, b)\n\nif ans == 10**15:\n    print(-1)\nelse:\n    print(ans)", "import collections\n\ndef f(n,b):\n    ret = int()\n    while n > 0:\n        ret += n%b\n        n //= b\n    return ret\n\ndef solve():\n    n = int(input())\n    s = int(input())\n    b = int(2)\n    while b*b <= n:\n        if f(n,b) == s:\n            print(b)\n            return\n        b+=1\n    b = 0\n    a = int(1)\n    while a*a <= n-s:\n        if (n-s)%a == 0 and\\\n        (n-s)//a >= a and\\\n        (s-a) >= 0 and\\\n        (n-s)//a >= (s-a):\n            b = (n-s)//a+1\n            # print(b,s-a)\n        a+=1\n    if b > 0:\n        print(b)\n        return\n    if n == s:\n        print((n+1))\n        return\n    print((-1))\n    return\n\n\n\ndef __starting_point():\n    solve()\n\n__starting_point()"]