Buggy python submission (verdict: Runtime Error):
import math
import sys
n = int(input())
s = int(input())

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

if s > n:
    print(-1)
    sys.exit(0)

sn = math.ceil(math.sqrt(n))
for i in range(2, sn):
    if f(i, n) == s:
        print(i)
        sys.exit(0)

for i in range(1, sn):
    if (n - s) % i == 0:
        b = (n-s)//i + 1
        if f(b + n%b, n) == s:
            print(b)
            sys.exit(0)
if s == n:
    print(n+1)
else:
    print(-1)


Fixed submission:
import math
import sys

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

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

if s > n:
    print(-1)
    sys.exit(0)

sn = math.ceil(math.sqrt(n))
for i in range(2, sn+1):
    if f(i, n) == s:
        print(i)
        sys.exit(0)

ans = n + 1
for i in range(1, sn+1):
    if (n - s) % i == 0:
        b = (n-s)//i + 1
        if b >= 2 and f(b, b * i + n%b) == s:
            ans = min((ans, b))
if s == n:
    print(n+1)
elif ans < n + 1:
    print(ans)
else:
    print(-1)

Buggy python submission (verdict: Runtime Error):
import math
import sys
n = int(input())
s = int(input())

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

if s > n:
    print(-1)

sn = math.ceil(math.sqrt(n))
for i in range(2, sn):
    if f(i, n) == s:
        print(i)
        sys.exit(0)

for i in range(1, sn):
    if (n - s) % i == 0:
        b = (n-s)//i + 1
        if 1 + n % b == s and b + n % b == n:
            print(b)
            sys.exit(0)
if s == n:
    print(n)
else:
    print(-1)

Fixed submission:
import math
import sys

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

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

if s > n:
    print(-1)
    sys.exit(0)

sn = math.ceil(math.sqrt(n))
for i in range(2, sn+1):
    if f(i, n) == s:
        print(i)
        sys.exit(0)

ans = n + 1
for i in range(1, sn+1):
    if (n - s) % i == 0:
        b = (n-s)//i + 1
        if b >= 2 and f(b, b * i + n%b) == s:
            ans = min((ans, b))
if s == n:
    print(n+1)
elif ans < n + 1:
    print(ans)
else:
    print(-1)

Buggy python submission (verdict: Runtime Error):
import math
import sys
n = int(input())
s = int(input())

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

sn = math.ceil(math.sqrt(n))
for i in range(2, sn):
    if f(i, n) == s:
        print(i)
        sys.exit(0)

for i in range(1, sn):
    if (n - s) % i == 0:
        b = (n-s)//i + 1
        if 1 + n % b == s and b + n % b == n:
            print(b)
            sys.exit(0)
print(-1)


Fixed submission:
import math
import sys

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

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

if s > n:
    print(-1)
    sys.exit(0)

sn = math.ceil(math.sqrt(n))
for i in range(2, sn+1):
    if f(i, n) == s:
        print(i)
        sys.exit(0)

ans = n + 1
for i in range(1, sn+1):
    if (n - s) % i == 0:
        b = (n-s)//i + 1
        if b >= 2 and f(b, b * i + n%b) == s:
            ans = min((ans, b))
if s == n:
    print(n+1)
elif ans < n + 1:
    print(ans)
else:
    print(-1)

Buggy python submission (verdict: Runtime Error):
import math
import sys
n = int(input())
s = int(input())

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

if s == 1:
    print(n)
    sys.exit(0)

sn = math.ceil(math.sqrt(n))
for i in range(2, sn):
    if f(i, n) == s:
        print(i)
        sys.exit(0)

for i in range(1, sn):
    if (n - s) % i == 0:
        b = (n-s)//i + 1
        if 1 + n % b == s:
            print(b)
            sys.exit(0)
print(-1)


Fixed submission:
import math
import sys

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

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

if s > n:
    print(-1)
    sys.exit(0)

sn = math.ceil(math.sqrt(n))
for i in range(2, sn+1):
    if f(i, n) == s:
        print(i)
        sys.exit(0)

ans = n + 1
for i in range(1, sn+1):
    if (n - s) % i == 0:
        b = (n-s)//i + 1
        if b >= 2 and f(b, b * i + n%b) == s:
            ans = min((ans, b))
if s == n:
    print(n+1)
elif ans < n + 1:
    print(ans)
else:
    print(-1)

Buggy python submission (verdict: Runtime Error):
import math
import sys
n = int(input())
s = int(input())

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

if s == 1:
    print(n)
    sys.exit(0)

sn = math.ceil(math.sqrt(n))
for i in range(2, sn):
    if f(i, n) == s:
        print(i)
        sys.exit(0)

for i in range(1, sn):
    if (n - s) % i == 0:
        b = (n-s)//i + 1
        if b + n % b == s:
            print(b)
            sys.exit(0)
print(-1)


Fixed submission:
import math
import sys

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

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

if s > n:
    print(-1)
    sys.exit(0)

sn = math.ceil(math.sqrt(n))
for i in range(2, sn+1):
    if f(i, n) == s:
        print(i)
        sys.exit(0)

ans = n + 1
for i in range(1, sn+1):
    if (n - s) % i == 0:
        b = (n-s)//i + 1
        if b >= 2 and f(b, b * i + n%b) == s:
            ans = min((ans, b))
if s == n:
    print(n+1)
elif ans < n + 1:
    print(ans)
else:
    print(-1)