Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
from collections import deque
n, m = map(int, input().split())

a = [0] * (m + 1)
b = [0] * (m + 1)
road = [[] for _ in range(m + 1)]

for i in range(m):
    a[i], b[i] = map(int, input().split())
    road[a[i]].append(b[i])
    road[b[i]].append(a[i])

ans = [-1] * (n + 1)
ans[0] = 0
ans[1] = 0

q = deque()
q.appendleft(1)

while len(q):
    i = q.pop()
    for j in road[i]:
        if ans[j] == -1:
            ans[j] = i
            q.appendleft(j)

if ans.count(-1) != 0:
    print("No")
    exit()
else:
    print("Yes")
    print(*ans[2:], sep="\n")



Fixed submission:
from collections import deque
n, m = map(int, input().split())

a = [0] * (m + 1)
b = [0] * (m + 1)
road = [[] for _ in range(n + 1)]

for i in range(m):
    a[i], b[i] = map(int, input().split())
    road[a[i]].append(b[i])
    road[b[i]].append(a[i])

ans = [-1] * (n + 1)
ans[0] = 0
ans[1] = 0

q = deque()
q.appendleft(1)

while len(q):
    i = q.pop()
    for j in road[i]:
        if ans[j] == -1:
            ans[j] = i
            q.appendleft(j)

if ans.count(-1) != 0:
    print("No")
    exit()
else:
    print("Yes")
    print(*ans[2:], sep="\n")
Buggy python submission (verdict: Time Limit Exceeded):
mod = 2019

a = input()
n = len(a)
x = [0] * n
for i in range(n):
    x[n - i - 1] = int(a[i])

ans = 0
cnt = [0] * mod
cnt[0] = 1
s = [0] * (n + 1)
e = 1

for i in range(n):
    s[i + 1] = ((x[i] * e) % mod + s[i]) % mod
    # print("i = ", i, "s[i + 1] = ", s[i + 1])
    ans += cnt[s[i + 1]]
    cnt[s[i + 1]] += 1
    e *= 10

print(ans)



Fixed submission:
mod = 2019
# import time

a = input()
n = len(a)
x = [0] * n
# begin = time.time()
for i in range(n):
    x[n - i - 1] = int(a[i])
# print("elapsed 1 = ", time.time() - begin)

# begin = time.time()
ans = 0
cnt = [0] * mod
cnt[0] = 1
s = [0] * (n + 1)
e = 1
# print("elapsed 2 = ", time.time() - begin)

# begin = time.time()
for i in range(n):
    s[i + 1] = ((x[i] * e) % mod + s[i]) % mod
    _ = s[i + 1]
    ans += cnt[_]
    cnt[_] += 1
    e = (e * 10) % mod
# print("elapsed 3 = ", time.time() - begin)

print(ans)
Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())

mod = 10 ** 9 + 7
inv = pow(2, mod - 2, mod=mod)

def calc(b, e, c):
    global mod
    global inv
    res = (e + b) % mod
    res = ((res * c) % mod ) * inv
    return res % mod

ans = 0
for i in range(k, n + 2):
    min_val = calc(0, i - 1, i)
    max_val = calc(n - i + 1, n, i)
    ans += (max_val - min_val + 1) % mod
    ans %= mod

print(ans)

Fixed submission:
n, k = map(int, input().split())

mod = 10 ** 9 + 7
inv = pow(2, mod - 2, mod=mod)

def calc(b, e, c):
    global mod
    global inv
    res = (e + b) % mod
    res = ((res * c) % mod ) * inv
    return res % mod

ans = 0
for i in range(k, n + 2):
    min_val = calc(0, i - 1, i)
    max_val = calc(n - i + 1, n, i)
    ans += (max_val - min_val + 1) % mod
    ans %= mod

print(ans)
Buggy python submission (verdict: Runtime Error):
S = input()

if S[2] == S[3] and S[4] == S[5]
    print("Yes")
else:
    print("No`")

Fixed submission:
S = input()

if S[2] == S[3] and S[4] == S[5]:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
import queue

N, X, Y = map(int, input().split())
X, Y = X - 1, Y - 1

ans = [0] * (N + 1)

def push(q, dist, index, dist_v):
    if dist[index] != -1:
        return
    q.put(index)
    dist[index] = dist_v

for i in range(N):
    q = queue.Queue()
    dist = [-1] * N
    push(q, dist, i, 0)
    while not q.empty():
        v = q.get()
        d = dist[v]
        if v - 1 >= 0: push(q, dist, v - 1, d + 1)
        if v + 1 < N: push(q, dist, v + 1, d + 1)
        if v == X: push(q, dist, Y, d + 1)
        if v == Y: push(q, dist, X, d + 1)
    for j in range(N):
        ans[dist[j]] += 1

for i in range(N):
    ans[i] //= 2

for i in range(1, N):
    print(ans[i])


Fixed submission:
from collections import deque

N, X, Y = map(int, input().split())
X, Y = X - 1, Y - 1

ans = [0] * (N + 1)

def push(q, dist, index, dist_v):
    if dist[index] != -1:
        return
    q.appendleft(index)
    dist[index] = dist_v

for i in range(N):
    q = deque()
    dist = [-1] * N
    push(q, dist, i, 0)
    while len(q) > 0:
        v = q.pop()
        d = dist[v]
        if v - 1 >= 0: push(q, dist, v - 1, d + 1)
        if v + 1 < N: push(q, dist, v + 1, d + 1)
        if v == X: push(q, dist, Y, d + 1)
        if v == Y: push(q, dist, X, d + 1)
    for j in range(N):
        ans[dist[j]] += 1

for i in range(N):
    ans[i] //= 2

for i in range(1, N):
    print(ans[i])
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())

d = {}
flag = True

for i in range(M):
    s, c = map(int, input().split())
    if s in d.keys() and d[s] != c:
        flag = False
    d[s] = c

if 1 not in d.keys():
    flag = False
elif N > 1 and d[1] == 0:
    flag = False

if max(d.keys()) > N:
    flag = False

if flag:
    res = 0
    for s, c in d.items():
        res += c * 10 ** (N - s)
    print(res)
else:
    print("-1")

Fixed submission:
N, M = map(int, input().split())

d = {}
flag = True

for i in range(M):
    s, c = map(int, input().split())
    if s in d.keys() and d[s] != c:
        flag = False
    d[s] = c

if M == 0:
    if N > 1: d[1] = 1
    else: d[1] = 0
elif 1 not in d.keys():
    d[1] = 1
elif N > 1 and d[1] == 0:
    flag = False

if M != 0 and max(d.keys()) > N:
    flag = False

if flag:
    res = 0
    for s, c in d.items():
        res += c * 10 ** (N - s)
    print(res)
else:
    print("-1")
Buggy python submission (verdict: Time Limit Exceeded):
def modpow(x, n, m):
    res = 1
    while n > 0:
        if n % 2 == 1:
            res = (res * x) % m
        x = (x * x) % m
        n >>= 1
    return res

def combination(n, r, m):
    res = 1
    r = min(r, n - r)

    for i in range(1, r + 1):
        res = res * (n - r + i) % m
        res = res * modpow(i, m - 2, m) % m
    return res

mod = 10**9 + 7
n, a, b = map(int, input().split())
total = modpow(2, n, mod) - 1

total = (total - combination(n, a, mod) - combination(n, b, mod)) % mod

print(total)

Fixed submission:
def combination(n, r, m):
    res = 1
    r = min(r, n - r)

    for i in range(r):
        res = res * (n - i) % m
        res = res * pow(i + 1, m - 2, m) % m
    return res

mod = 10**9 + 7
n, a, b = map(int, input().split())
total = pow(2, n, mod) - 1

total -= (combination(n, a, mod) + combination(n, b, mod)) % mod

print(total % mod)
Buggy python submission (verdict: Time Limit Exceeded):
s = input()[::-1]

mod = 10 ** 9 + 7
dp = [[0] * 13 for _ in range(len(s)+1)]

dp[0][0] = 1
keta = 1
for i in range(len(s)):
    for j in range(13):
        if s[i] == '?':
            for k in range(10):
                dp[i+1][(k*keta+j)%13] += dp[i][j] 
                dp[i+1][(k*keta+j)%13] %= mod 
        else:
            dp[i+1][((int(s[i]))*keta+j)%13] += dp[i][j] 
            dp[i+1][((int(s[i]))*keta+j)%13] %= mod
    keta = (keta * 10) % 13

print(dp[-1][5]%mod)

Fixed submission:
s = input()[::-1]

mod = 10 ** 9 + 7
dp = [[0] * 13 for _ in range(len(s)+1)]

dp[0][0] = 1
keta = 1
for i in range(len(s)):
    for j in range(13):
        if s[i] == '?':
            for k in range(10):
                dp[i+1][(k*keta+j)%13] += dp[i][j] 
                dp[i+1][(k*keta+j)%13] %= mod 
        else:
            dp[i+1][((int(s[i]))*keta+j)%13] += dp[i][j] 
            dp[i+1][((int(s[i]))*keta+j)%13] %= mod
    keta = (keta * 10) % 13

print(dp[-1][5]%mod)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
sum=0
while (n>0):
    sum+=(n%10)
    n//=10
if (sum%9==0):
    print("Yes")
else:
    print("No")

Fixed submission:
s=input()
sum=0
for i in range(0,len(s)):
    sum+=(int(s[i]))
if (sum%9==0):
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))
ans = 0
for i in range(len(a)):
  for l in range(i+1,len(a)):
    ans += a[i]*a[l]
print(ans%(10**9+7))

Fixed submission:
import itertools
n = int(input())
a = list(map(int,input().split()))
cumsum = list(itertools.accumulate(a))
ans = 0
mod = 10**9+7
for i in range(1,n):
  ans += a[i]*cumsum[i-1]
print(ans%mod)
Buggy python submission (verdict: Time Limit Exceeded):
import math
A,B,N = map(int,input().split())
ans = 0
for i in range(1,N+1):
	num = math.floor((A*i)/B) - A * math.floor(i / B)
	if ans < num:
		ans = num
print(ans)

Fixed submission:
import math
A,B,N = map(int,input().split())
m = min(B-1,N)
num = math.floor((A*m)/B) - A * math.floor(m / B)
print(num)

Buggy python submission (verdict: Time Limit Exceeded):
import math
A,B,N = map(int,input().split())
ans = 0
for i in range(1,N+1):
	num = math.floor((A*i)/B) - A * math.floor(i / B)
	if ans < num:
		ans = num
print(ans)

Fixed submission:
import math
A,B,N = map(int,input().split())
m = min(B-1,N)
num = math.floor((A*m)/B) - A * math.floor(m / B)
print(num)
Buggy python submission (verdict: Time Limit Exceeded):
a,b,m = map(int,input().split())
alist = list(map(int,input().split()))
blist = list(map(int,input().split()))
mlist = [list(map(int,input().split())) for s in range(m)]
ans = []
for m in mlist:
	tmp = alist[m[0]-1] + blist[m[1]-1] -m[2]
	ans.append(tmp)
for a in alist:
	for b in blist:
		ans.append(a + b)
print(min(ans))

Fixed submission:
a,b,m = map(int,input().split())
alist = list(map(int,input().split()))
blist = list(map(int,input().split()))
mlist = [list(map(int,input().split())) for s in range(m)]
ans = []
for m in mlist:
	tmp = alist[m[0]-1] + blist[m[1]-1] -m[2]
	ans.append(tmp)
x = min(alist) + min(blist)
ans.append(x)
print(min(ans))
Buggy python submission (verdict: Runtime Error):
n,a,b = map(int,input().split())
ans = []
blue = ["b"]*a
red = ["r"]*b

while len(ans) < (n-min(a,b)):
	ans.extend(blue)
	ans.extend(red)

print(ans[:n].count("b"))

Fixed submission:
n,a,b = map(int,input().split())
ans = n // (a + b)*a

rem = n % (a + b)

ans += min(rem,a)
print(ans)

Buggy python submission (verdict: Runtime Error):
n,a,b = map(int,input().split())
ans = []
blue = ["b"]*a
red = ["r"]*b

while len(ans) <= n:
	ans.extend(blue)
	ans.extend(red)
	
tmp = ans[:n]
print(tmp.count("b"))


Fixed submission:
n,a,b = map(int,input().split())
ans = n // (a + b)*a

rem = n % (a + b)

ans += min(rem,a)
print(ans)

Buggy python submission (verdict: Runtime Error):
i = list(map(int,input().split()))
ans = ""
while len(ans) <= i[0]:
	blue = "b" * i[1]
	red = "r" * i[2]
	ans += blue
	ans += red
end = ans[:i[0]]
print(end.count("b"))

Fixed submission:
n,a,b = map(int,input().split())
ans = n // (a + b)*a

rem = n % (a + b)

ans += min(rem,a)
print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())
x = list(map(int,input().split()))
maxx = max(x)
a = []
for i in range(1,maxx):
	ans = 0
	for xx in x:
		ans += int((xx-i)**2)
	a.append(ans)
print(min(a))

Fixed submission:
n = int(input())
x = list(map(int,input().split()))
maxx = max(x)
a = []
for i in range(1,maxx+1):
	ans = 0
	for xx in x:
		ans += int((xx-i)**2)
	a.append(ans)
print(min(a))

Buggy python submission (verdict: Runtime Error):
n = int(input())
x = list(map(int,input().split()))
maxpoint = max(x)
ans = []
for i in range(1,maxpoint):
	tmp = 0
	for nn in range(n):
		tmp += (x[nn] - i)**2
	ans.append(tmp)
print(min(ans))
		

Fixed submission:
n = int(input())
x = list(map(int,input().split()))
maxx = max(x)
a = []
for i in range(1,maxx+1):
	ans = 0
	for xx in x:
		ans += int((xx-i)**2)
	a.append(ans)
print(min(a))
Buggy python submission (verdict: Time Limit Exceeded):
import collections
n = int(input())
s = [input() for l in range(n)]
word = collections.Counter(s)
z = [kv for kv in word.items() if kv[1] == max(word.values())]
z = sorted(z)
for c in z:
  print(c[0])


Fixed submission:
import collections
n = int(input())
s = [input() for l in range(n)]
word = collections.Counter(s)
ma = max(word.values())
z = [kv for kv in word.items() if kv[1] == ma]
z = sorted(z)
for c in z:
  print(c[0])
Buggy python submission (verdict: Time Limit Exceeded):
h = int(input())
monster = [h]
ans = 0
while len(monster) >= 1:
  for index,m in enumerate(monster):
    if m == 1:
      ans += 1
      del monster[index]
    else:
      ans += 1
      del monster[index]
      new = m // 2
      monster.append(new)
      monster.append(new)
print(ans)

Fixed submission:
import math
h = int(input())
num = math.log(h,2)
num = int(num)
ans = 0
for i in range(num+1):
  ans += 2**i

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = list(map(int,input().split()))
ans = 1
min_num = P[0]
for num in range(len(P)):
  tmp = min(P[:num+1])
  if min_num > tmp:
    min_num = tmp
    ans += 1

print(ans)

Fixed submission:
N = int(input())
P = list(map(int,input().split()))
ans = 0
min_num = P[0]
for i in range(len(P)):
  if P[i] <= min_num:
    ans += 1
    min_num = P[i]
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = list(map(int,input().split()))
ans = 0
for index,p in enumerate(P):
  if all(p <= pp for pp in P[:index]):
    ans += 1
print(ans)

Fixed submission:
N = int(input())
P = list(map(int,input().split()))
ans = 0
min_num = P[0]
for i in range(len(P)):
  if P[i] <= min_num:
    ans += 1
    min_num = P[i]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
x = int(input())
ans = 0
for a in range((x//100)+1):
  for b in range((x//101)+1):
    for c in range((x//102)+1):
      for d in range((x//103)+1):
        for e in range((x//104)+1):
          for f in range((x//105)+1):           
            if (100*a) + (101*b) + (102*c) + (103*d) + (104*e) + (105*f)== x:
              ans += 1
if ans == 0:
  print(0)
else:
  print(1)



Fixed submission:
x = int(input())
ans = 0
flag = False
for a in range((x//100)+1):
  for b in range((x//101)+1):
    for c in range((x//102)+1):
      for d in range((x//103)+1):
        for e in range((x//104)+1):
          for f in range((x//105)+1):           
            if (100*a) + (101*b) + (102*c) + (103*d) + (104*e) + (105*f)== x:
              ans += 1
              flag = True
              break
          if flag:
            break
        if flag:
          break
      if flag:
        break
    if flag:
      break
  if flag:
    break
  
if ans == 0:
  print(0)
else:
  print(1)
Buggy python submission (verdict: Time Limit Exceeded):
N,K,Q = map(int,input().split())
A = [int(input()) for i in range(Q)]
point = [K]*N

for a in A:
  point = list(map(lambda x: x-1, point))
  point[a-1] += 1

for po in point:
  if po > 0:
    print("Yes")
  else:
    print("No")

Fixed submission:
N,K,Q = map(int,input().split())
A = [int(input()) for i in range(Q)]
num = K-Q
point = [num]*N

for a in A:
  point[a-1] += 1

for po in point:
  if po > 0:
    print("Yes")
  else:
    print("No")

Buggy python submission (verdict: Time Limit Exceeded):
N,K,Q = map(int,input().split())
A = [int(input()) for i in range(Q)]
point = [K]*N

for a in A:
  for index,p in enumerate(point):
    if index+1 != a:
      point[index] -= 1

for po in point:
  if po > 0:
    print("Yes")
  else:
    print("No")

Fixed submission:
N,K,Q = map(int,input().split())
A = [int(input()) for i in range(Q)]
num = K-Q
point = [num]*N

for a in A:
  point[a-1] += 1

for po in point:
  if po > 0:
    print("Yes")
  else:
    print("No")

Buggy python submission (verdict: Time Limit Exceeded):
N,K,Q = map(int,input().split())
A = [int(input()) for i in range(Q)]
point = [K]*N
def calc(num):
  return num-1
for a in A:
  for index,p in enumerate(point):
    if index+1 != a:
      point[index] -= 1
     

for po in point:
  if po > 0:
    print("Yes")
  else:
    print("No")

Fixed submission:
N,K,Q = map(int,input().split())
A = [int(input()) for i in range(Q)]
num = K-Q
point = [num]*N

for a in A:
  point[a-1] += 1

for po in point:
  if po > 0:
    print("Yes")
  else:
    print("No")
Buggy python submission (verdict: Runtime Error):
N = int(input())
H = list(map(int,input().split()))
ans=0
cnt=0
for i in range(1,n):
  if h[i]<=h[i-1]:
    cnt+=1
    if cnt>ans:
      ans=cnt
  else:
    cnt=0
print(ans)

Fixed submission:
n = int(input())
h = list(map(int,input().split()))
ans=0
cnt=0
for i in range(1,n):
  if h[i]<=h[i-1]:
    cnt+=1
    if cnt>ans:
      ans=cnt
  else:
    cnt=0
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
H = list(map(int,input().split()))
ans = 0
for i in range(N):
  move = 0
  for j in range(i,N-1):   
    if H[j] < H[j+1]:
      break
    elif H[j] >= H[j+1]:
      move += 1
  if ans <= move:
    ans = move
print(ans)
  

Fixed submission:
n = int(input())
h = list(map(int,input().split()))
ans=0
cnt=0
for i in range(1,n):
  if h[i]<=h[i-1]:
    cnt+=1
    if cnt>ans:
      ans=cnt
  else:
    cnt=0
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
H = list(map(int,input().split()))
ans = 0
for i in range(N):
  move = 0
  for j in range(i,N-1):   
    if H[j] >= H[j+1]:
      move += 1
    else:
      break
  if ans <= move:
    ans = move
print(ans)
  

Fixed submission:
n = int(input())
h = list(map(int,input().split()))
ans=0
cnt=0
for i in range(1,n):
  if h[i]<=h[i-1]:
    cnt+=1
    if cnt>ans:
      ans=cnt
  else:
    cnt=0
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
H = list(map(int,input().split()))
ans =[] 
for i in range(N):
  move = 0
  for j in range(i,N-1):   
    if H[j] >= H[j+1]:
      move += 1
    else:
      break    
  ans.append(move)
print(max(ans))
  

Fixed submission:
n = int(input())
h = list(map(int,input().split()))
ans=0
cnt=0
for i in range(1,n):
  if h[i]<=h[i-1]:
    cnt+=1
    if cnt>ans:
      ans=cnt
  else:
    cnt=0
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import collections
n,m = map(int,input().split())
card = [list(map(int,input().split())) for c in range(m)]
nums = []
for index,c in enumerate(card):
  nums += [i for i in range(c[0],c[1]+1)]
ans = 0
for k,v in collections.Counter(nums).items():
  if v == m:
    ans += 1
print(ans)



Fixed submission:
N,M = map(int,input().split())
L = []
R = []
 
for m in range(M):
  l,r = map(int,input().split())
  L+=[l]
  R+=[r]
 
print(max(0,min(R)-max(L)+1))
Buggy python submission (verdict: Runtime Error):
a,b,k = map(int,input().split())
minnum = min(a,b)
maxnum = max(a,b)
lis = []
n = (minnum//2)+1
for mi in range(1,n):
  if minnum % mi == 0 and maxnum % mi == 0:
    lis.append(mi)
num = k-1
print(lis[-1 * num])

Fixed submission:
a,b,k = map(int,input().split())
minnum = min(a,b)
maxnum = max(a,b)
lis = []
for mi in reversed(range(1,minnum+1)):
  if minnum % mi == 0 and maxnum % mi == 0:
    lis.append(mi)

print(lis[k-1])

Buggy python submission (verdict: Runtime Error):
a,b,k = map(int,input().split())
minnum = min(a,b)
maxnum = max(a,b)
lis = []
for mi in range(1,(minnum//2)+1):
  if minnum % mi == 0 and maxnum % mi == 0:
    lis.append(mi)
num = k-1
print(lis[-1 * num])

Fixed submission:
a,b,k = map(int,input().split())
minnum = min(a,b)
maxnum = max(a,b)
lis = []
for mi in reversed(range(1,minnum+1)):
  if minnum % mi == 0 and maxnum % mi == 0:
    lis.append(mi)

print(lis[k-1])
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))

ans = 0
while any(aa % 2 == 0 for aa in a):
  a.sort(reverse=True)
  odd = False
  for i in range(n):
    if a[i] % 2== 0 and odd == False:
      odd = True
      index = i
    if a[i] % 2 == 0 and i == index:
      a[i] /= 2
    elif a[i] % 2!= 0 or a[i] % 2 == 0 and odd ==False:
      a[i] *= 3
  ans += 1
print(ans)
    

Fixed submission:
n = int(input())
A = list(map(int,input().split()))
ans = sum((a & -a).bit_length() - 1 for a in A)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
A,B,C,K = map(int,input().split())
for i in range(K):
  a = B + C
  b = A + C
  c = A + B
  A = a
  B = b
  C = c
if A - B >= 10**18:
  print("Unfair")
else:
  print(A-B)

Fixed submission:
A,B,C,K = map(int,input().split())
if K % 2 == 0:
  print(A-B)
else:
  print(B-A)
Buggy python submission (verdict: Runtime Error):
import math
x = int(input())
ans = (int(math.sqrt(X)))**2
for i in range(2,int(math.sqrt(x))+2):
  for j in range(1,10):
    if i ** j <= x and i**j > ans:
      ans = i**j

print(ans)




Fixed submission:
import math
X = int(input())
n = (int(math.sqrt(X)))**2
for b in range(2, int(math.sqrt(X))+2):
    for p in range(1, 10):
        if (b**p > n) and (b**p <= X):
            n = b**p
print(n)

Buggy python submission (verdict: Runtime Error):
import math
x = int(input())
ans = (int(math.sqrt(X)))**2
for i in range(1,int(math.sqrt(x)+2)):
  for j in range(2,10):
    if i ** j <= x and i**j > ans:
      ans = i**j

print(ans)

Fixed submission:
import math
X = int(input())
n = (int(math.sqrt(X)))**2
for b in range(2, int(math.sqrt(X))+2):
    for p in range(1, 10):
        if (b**p > n) and (b**p <= X):
            n = b**p
print(n)

Buggy python submission (verdict: Runtime Error):
import math
x = int(input())
ans = (int(math.sqrt(X)))**2
for i in range(1,int(math.sqrt(x)+2)):
  for j in range(2,10):
    if i ** j <= x and i**j > ans:
      ans = i**j

print(ans)

Fixed submission:
import math
X = int(input())
n = (int(math.sqrt(X)))**2
for b in range(2, int(math.sqrt(X))+2):
    for p in range(1, 10):
        if (b**p > n) and (b**p <= X):
            n = b**p
print(n)

Buggy python submission (verdict: Runtime Error):
import math
x = int(input())
ans = (int(math.sqrt(X)))**2
for i in range(1,int(math.sqrt(x)+2)):
  for j in range(2,10):
    if i ** j <= x and i**j > ans:
      ans = i**j

print(ans)

Fixed submission:
import math
X = int(input())
n = (int(math.sqrt(X)))**2
for b in range(2, int(math.sqrt(X))+2):
    for p in range(1, 10):
        if (b**p > n) and (b**p <= X):
            n = b**p
print(n)

Buggy python submission (verdict: Runtime Error):
import math
x = int(input())
ans = (int(math.sqrt(X)))**2
for i in range(1,int(math.sqrt(x)+2)):
  for j in range(2,10):
    if i ** j <= x and i**j > ans:
      ans = i**j
    else:
      break
print(ans)

Fixed submission:
import math
X = int(input())
n = (int(math.sqrt(X)))**2
for b in range(2, int(math.sqrt(X))+2):
    for p in range(1, 10):
        if (b**p > n) and (b**p <= X):
            n = b**p
print(n)

Buggy python submission (verdict: Runtime Error):
i = int(input())
for n in range(1, i):
	if (n ** .5).is_integer():
		num = n
print(num)

Fixed submission:
import math
X = int(input())
n = (int(math.sqrt(X)))**2
for b in range(2, int(math.sqrt(X))+2):
    for p in range(1, 10):
        if (b**p > n) and (b**p <= X):
            n = b**p
print(n)