Problem p03241 (python)

Fixed submission:
import random

def is_prime(q,k=50):
    if q == 2: return True
    if q < 2 or q&1 == 0: return False
    d = (q-1)>>1
    while d&1 == 0:
        d >>= 1
    for i in range(k):
        a = random.randint(1,q-1)
        t = d
        y = pow(a,t,q)
        while t != q-1 and y != 1 and y != q-1: 
            y = pow(y,2,q)
            t <<= 1
        if y != q-1 and t&1 == 0:
            return False
    return True

n,m=(int(i) for i in input().split(' '))
for i in range(1,n):
  if m%i==0 and (is_prime(i) or i==1) and is_prime(m//i) and (i==1 or m//i<n):
    print('1')
    exit()
for i in range(n,m+1):
  if i==m:
    print(1)
    break
  if m%i==0:
    print(m//i)
    break
  if m-i-n>0 and m%(m-i-n)==0 and m//(m-i-n)>n:
    print(m-i-n)
    break

Buggy submission (verdict: Runtime Error):
import random

def is_prime(q,k=50):
    if q == 2: return True
    if q < 2 or q&1 == 0: return False
    d = (q-1)>>1
    while d&1 == 0:
        d >>= 1
    for i in range(k):
        a = random.randint(1,q-1)
        t = d
        y = pow(a,t,q)
        while t != q-1 and y != 1 and y != q-1: 
            y = pow(y,2,q)
            t <<= 1
        if y != q-1 and t&1 == 0:
            return False
    return True

n,m=(int(i) for i in input().split(' '))
if n<1000:
  for i in range(1,n):
    if m%i==0 and (is_prime(i) or i=1) and is_prime(m//i) and (i==1 or m//i<n):
      print('1')
      exit()
for i in range(n,m+1):
  if i==m:
    print(1)
    break
  if m%i==0:
    print(m//i)
    break
  if m-i-n>0 and m%(m-i-n)==0 and m//(m-i-n)>n:
    print(m-i-n)
    break

Buggy submission (verdict: Runtime Error):
import random

def is_prime(q,k=50):
    if q == 2: return True
    if q < 2 or q&1 == 0: return False
    d = (q-1)>>1
    while d&1 == 0:
        d >>= 1
    for i in range(k):
        a = random.randint(1,q-1)
        t = d
        y = pow(a,t,q)
        while t != q-1 and y != 1 and y != q-1: 
            y = pow(y,2,q)
            t <<= 1
        if y != q-1 and t&1 == 0:
            return False
    return True

n,m=(int(i) for i in input().split(' '))
if m%n>10000:
  for i in range(1,n):
    if m%i==0 and is_prime(i) and is_prime(m//i) and (i==1 or m//i<n):
      print('1')
      exit()
for i in range(n,m+1):
  if i==m:
    print(1)
    break
  if m%i==0:
    print(m//i)
    break
  if m%(m-i+1)==0
    print(m-i+1)
    break

Buggy submission (verdict: Runtime Error):
print(n)

Buggy submission (verdict: Runtime Error):
import random

def is_prime(n):
    if n == 2: return True
    if n == 1 or n & 1 == 0: return False

    d = (n - 1) >> 1
    while d & 1 == 0:
        d >>= 1

    for k in range(100):
        a = random.randint(1, n - 1)
        t = d
        y = pow(a, t, n)

        while t != n - 1 and y != 1 and y != n - 1:
            y = (y * y) % n
            t <<= 1

        if y != n - 1 and t & 1 == 0:
            return False

    return True

n,m=(int(i) for i in input().split(' '))
for i in range(1,n)
  if m%i==0 and is_prime(m//i):
    print('1')
    exit()
for i in range(1,m//n+1)[::-1]:
  if i==1:
    print(i)
    break
    if m%i==0 and m//i>=n:
      print(i)
      break

Buggy submission (verdict: Runtime Error):
def divisor(m,k):
  divisor=[]
  for i in range(1,k+1):
    if m%i==0:
      divisor.append(i)
  return divisor

n,m=(int(i) for i in input().split(' '))
print(divisor(m,m//n))
for i in divisor(m)[::-1]:
  if i==1:
    break
  if m%i==0 and m//i>=n:
    print(i)
    break

Buggy submission (verdict: Runtime Error):
n,m=(int(i) for i in input().split(' '))
i=m%n
if m==2147483647:
  print(1)
  exit()
while True:
  if i==1:
    print(i)
    break
  if m%i==0 and m//i>=n:
    print(i)
    break
  else:
    i-=1

Buggy submission (verdict: Runtime Error):
n,m=(int(i) for i in input().split(' '))
i=m
if m=2147483647:
  print(1)
  exit()
while True:
  if i==1:
    print(i)
    break
  if m%i==0 and m//i>=n:
    print(i)
    break
  else:
    i-=1

Buggy submission (verdict: Runtime Error):
n,m=(int(i) for i in input().split(' '))
i=m//n
while True:
  if m%i==0 and m//i>=n:
    print(i)
    break
  else:
    i-=1
  if i==1:
    print(i)
    brak

Buggy submission (verdict: Runtime Error):
n,m=(int(i) for i in input().split(' '))
i=m//i
while True:
  if m%i==0 and m//i>=n:
    print(i)
    break
  else:
    i-=1

Buggy submission (verdict: Runtime Error):
def factor(x):
  factor=[]
  if x==1:
    return
  else:
    i=2
    while x>1:
      if x%i==0:
        factor.append([i,1])
        x/=i
        while x%i==0:
          factor[-1][1]+=1
          x/=i
      i+=1
    return factor

n,m=(int(i) for i in input().split(' '))
factor=factor(m)
ans=1
for data in factor:
  data[1]=data[1]//n
  ans=ans*(data[0]**data[1])
print(ans)

Buggy submission (verdict: Runtime Error):
def factor(x){
  factor=[]
  if x==1:
    return
  else:
  i=2
    while x>1:
      if x%i==0:
        factor.append([i,1])
        x/=i
        while x%i==0:
          factor[-1][1]+=1
          x/=i
      i+=1
    return factor

n,m=(int(i) for i in input().split(' '))
factor=factor(m)
ans=1
for data in factor:
  data[1]=data[1]/n
  ans=ans*(data[0]**data[1])
print(ans)