Buggy python submission (verdict: Time Limit Exceeded):
import math
n = int(input())
s = int(input())

def f(b, n):
    ans = 0
    while b <= n:
        ans += n%b
        n //= b
    ans += n
    return ans

if n == s:
    print(n+1)
else:
    for b in range(2, math.ceil(math.sqrt(n)) + 1):
        if f(b, n) == s:
            print(b)
            break
    else:
        for p in range(math.ceil(math.sqrt(n)), 0 ,-1):
            if s - p >= 0 and n-s+p > 0:
                b = round((n-s+p)/p, )
                if f(b, n) == s:
                    print(b)
                    break
        else:
            print(-1)

Fixed submission:
import math
n = int(input())
s = int(input())

def f(b, n):
    ans = 0
    while b <= n:
        ans += n%b
        n //= b
    ans += n
    return ans

if n == s:
    print(n+1)
elif n < s:
    print(-1)
else:
    limit = math.ceil(math.sqrt(n))
    for b in range(2, limit + 1):
        if f(b, n) == s:
            print(b)
            break
    else:
        for p in range(limit, 0 ,-1):
            if s - p >= 0 and n-s+p > 0 and (n-s+p)//p > limit:
                b = (n-s+p)//p
                if f(b, n) == s:
                    print(b)
                    break
        else:
            print(-1)

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

def f(b, n):
    ans = 0
    while b <= n:
        ans += n%b
        n //= b
    ans += n
    return ans

if n == s:
    print(n+1)
else:
    for b in range(2, math.ceil(math.sqrt(n)) + 1):
        if f(b, n) == s:
            print(b)
            break
    else:
        for p in range(1, math.ceil(math.sqrt(n)) + 1):
            if s - p >= 0 and n-s+p > 0:
                b = round((n-s+p)/p, )
                if f(b, n) == s:
                    print(b)
                    break
        else:
            print(-1)

Fixed submission:
import math
n = int(input())
s = int(input())

def f(b, n):
    ans = 0
    while b <= n:
        ans += n%b
        n //= b
    ans += n
    return ans

if n == s:
    print(n+1)
elif n < s:
    print(-1)
else:
    limit = math.ceil(math.sqrt(n))
    for b in range(2, limit + 1):
        if f(b, n) == s:
            print(b)
            break
    else:
        for p in range(limit, 0 ,-1):
            if s - p >= 0 and n-s+p > 0 and (n-s+p)//p > limit:
                b = (n-s+p)//p
                if f(b, n) == s:
                    print(b)
                    break
        else:
            print(-1)

Buggy python submission (verdict: Runtime Error):
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)

if n == s:
    print(n+1)
elif n < s:
    print(-1)
else:
    for b in range(2, int(math.sqrt(n)) + 1):
        if f(b, n) == s:
            print(b)
            break
    else:
        for p in range(1, int(math.sqrt(n)) + 1):
            b = int(((n-s)/p) + 1)
            if f(b, n) == s:
                print(b)
                break
        else:
            print(-1)

Fixed submission:
import math
n = int(input())
s = int(input())

def f(b, n):
    ans = 0
    while b <= n:
        ans += n%b
        n //= b
    ans += n
    return ans

if n == s:
    print(n+1)
elif n < s:
    print(-1)
else:
    limit = math.ceil(math.sqrt(n))
    for b in range(2, limit + 1):
        if f(b, n) == s:
            print(b)
            break
    else:
        for p in range(limit, 0 ,-1):
            if s - p >= 0 and n-s+p > 0 and (n-s+p)//p > limit:
                b = (n-s+p)//p
                if f(b, n) == s:
                    print(b)
                    break
        else:
            print(-1)

Buggy python submission (verdict: Runtime Error):
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)

if n == s:
    print(n+1)
elif n == 1:
    print(-1)
else:
    for b in range(2, int(math.sqrt(n)) + 1):
        if f(b, n) == s:
            print(b)
            break
    else:
        for p in range(1, int(math.sqrt(n)) + 1):
            b = int(((n-s)/p) + 1)
            if f(b, n) == s:
                print(b)
                break
        else:
            print(-1)

Fixed submission:
import math
n = int(input())
s = int(input())

def f(b, n):
    ans = 0
    while b <= n:
        ans += n%b
        n //= b
    ans += n
    return ans

if n == s:
    print(n+1)
elif n < s:
    print(-1)
else:
    limit = math.ceil(math.sqrt(n))
    for b in range(2, limit + 1):
        if f(b, n) == s:
            print(b)
            break
    else:
        for p in range(limit, 0 ,-1):
            if s - p >= 0 and n-s+p > 0 and (n-s+p)//p > limit:
                b = (n-s+p)//p
                if f(b, n) == s:
                    print(b)
                    break
        else:
            print(-1)

Buggy python submission (verdict: Runtime Error):
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)

if n == s:
    print(n+1)
elif n == 1:
    print(1 if s == 1 else -1)
else:
    for b in range(2, int(math.sqrt(n)) + 1):
        if f(b, n) == s:
            print(b)
            break
    else:
        for p in range(1, int(math.sqrt(n)) + 1):
            b = int(((n-s)/p) + 1)
            if f(b, n) == s:
                print(b)
                break
        else:
            print(-1)

Fixed submission:
import math
n = int(input())
s = int(input())

def f(b, n):
    ans = 0
    while b <= n:
        ans += n%b
        n //= b
    ans += n
    return ans

if n == s:
    print(n+1)
elif n < s:
    print(-1)
else:
    limit = math.ceil(math.sqrt(n))
    for b in range(2, limit + 1):
        if f(b, n) == s:
            print(b)
            break
    else:
        for p in range(limit, 0 ,-1):
            if s - p >= 0 and n-s+p > 0 and (n-s+p)//p > limit:
                b = (n-s+p)//p
                if f(b, n) == s:
                    print(b)
                    break
        else:
            print(-1)