Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
H, N = map(int, input().split())

inf = 10 ** 9
dp = [([0] + [inf] * H) for _ in range(N + 1)]

for n in range(1, N + 1):
    a, b = map(int, input().split())
    for h in range(1, H + 1):
        tmp_min = dp[n - 1][h]
        i = 1
        while True:
            if h - i * a <= 0:
                tmp_min = min(tmp_min, dp[n - 1][0] + i * b)
                break
            tmp_min = min(tmp_min, dp[n - 1][h - i * a] + i * b)
            i += 1
        dp[n][h] = tmp_min

print(dp[N][H])


Fixed submission:
H, N = map(int, input().split())
List = [list(map(int, input().split())) for _ in range(N)]

inf = 10 ** 9
dp = [0] + [inf] * H

for h in range(1, H + 1):
    for n in range(1, N + 1):
        a, b = List[n - 1]
        ref = h - a
        if ref < 0: ref = 0
        dp[h] = min(dp[h], dp[ref] + b)
        

print(dp[H])
Buggy python submission (verdict: Runtime Error):
N = int(input())
print(sum(range(N))

Fixed submission:
N = int(input())
print(sum(range(N)))
Buggy python submission (verdict: Runtime Error):
S = input()

n = len(S)

l = [0]*n
current_run = 'R'
R_start = 0

for i in range(n-1):
    if current_run == 'R':
        if S[i+1] == 'L':
            R_len = i+1 - R_start
            current_run = 'L'
            L_start = i+1
            if i == n-2:
                placeR = L_start - 1
                placeL = L_start
                D_len = (R_len + L_len) // 2
                l[placeR] = D_len
                l[placeL] = D_len
                if (R_len + L_len) % 2 == 0:
                    continue
                if R_len > D_len:
                    if R_len % 2 == 0:
                        l[placeL] += 1
                    else:
                        l[placeR] += 1

    else:
        if S[i+1] == 'R' or i == n-2:
            L_len = i+1 - L_start
            if i == n-2: L_len += 1
            current_run = 'R'
            R_start = i+1
            placeR = L_start - 1
            placeL = L_start
            D_len = (R_len + L_len) // 2
            l[placeR] = D_len
            l[placeL] = D_len
            if (R_len + L_len) % 2 == 0:
                continue
            if R_len > D_len:
                if R_len % 2 == 0:
                    l[placeL] += 1
                else:
                    l[placeR] += 1
            elif L_len > D_len:
                if L_len % 2 == 0:
                    l[placeR] += 1
                else:
                    l[placeL] += 1

print(" ".join([str(_) for _ in l]))

Fixed submission:
S = input()

n = len(S)

l = [0]*n
current_run = 'R'
R_start = 0

for i in range(n-1):
    if current_run == 'R':
        if S[i+1] == 'L':
            R_len = i+1 - R_start
            current_run = 'L'
            L_start = i+1
            if i == n-2:
                placeR = L_start - 1
                placeL = L_start
                L_len = 1
                D_len = (R_len + L_len) // 2
                l[placeR] = D_len
                l[placeL] = D_len
                if (R_len + L_len) % 2 == 0:
                    continue
                if R_len > D_len:
                    if R_len % 2 == 0:
                        l[placeL] += 1
                    else:
                        l[placeR] += 1

    else:
        if S[i+1] == 'R' or i == n-2:
            L_len = i+1 - L_start
            if i == n-2: L_len += 1
            current_run = 'R'
            R_start = i+1
            placeR = L_start - 1
            placeL = L_start
            D_len = (R_len + L_len) // 2
            l[placeR] = D_len
            l[placeL] = D_len
            if (R_len + L_len) % 2 == 0:
                continue
            if R_len > D_len:
                if R_len % 2 == 0:
                    l[placeL] += 1
                else:
                    l[placeR] += 1
            elif L_len > D_len:
                if L_len % 2 == 0:
                    l[placeR] += 1
                else:
                    l[placeL] += 1

print(" ".join([str(_) for _ in l]))
Buggy python submission (verdict: Runtime Error):
S=input()
n=len(S)
ans="Good"
for i in (1,n):
  if S[i]==S[i-1]:
    ans="Bad"
    break
print(ans)

Fixed submission:
S=input()
n=len(S)
ans="Good"
for i in range(1,n):
  if S[i]==S[i-1]:
    ans="Bad"
    break
print(ans)

Buggy python submission (verdict: Runtime Error):
S=input()
n=len(S)
ans="Good"
comp=S[0]
for i in (1,n):
  if S[i]==comp:
    ans="Bad"
    break
  comp=S[i]
print(ans)
  

Fixed submission:
S=input()
n=len(S)
ans="Good"
for i in range(1,n):
  if S[i]==S[i-1]:
    ans="Bad"
    break
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import bisect

N = int(input())
A = sorted(list(map(int,input().split())))
B = sorted(list(map(int,input().split())))
C = sorted(list(map(int,input().split())))

comb = 0
top_start = 0

while top_start < N:
    top_value = A[top_start]
    top_end = bisect.bisect_right(A,top_value)
    top_num = top_end - top_start
    mid_start = bisect.bisect_right(B,top_value)
    while mid_start < N:
        mid_value = B[mid_start]
        mid_end = bisect.bisect_right(B,mid_value)
        mid_num = mid_end - mid_start
        bottom_end = bisect.bisect_right(C,mid_value)
        bottom_num = N - bottom_end

        if bottom_num == 0: break

        comb += top_num * mid_num * bottom_num
        mid_start = mid_end
    top_start = top_end

print(comb)

Fixed submission:
import bisect

N = int(input())
A = sorted(list(map(int,input().split())))
B = sorted(list(map(int,input().split())))
C = sorted(list(map(int,input().split())))

comb = 0
mid_start = 0

while mid_start < N:
    mid_value = B[mid_start]
    mid_end = bisect.bisect_right(B,mid_value)
    mid_num = mid_end - mid_start
    top_end = bisect.bisect_left(A,mid_value)
    top_num = top_end
    bottom_start = bisect.bisect_right(C,mid_value)
    bottom_num = N - bottom_start
    comb += top_num * mid_num * bottom_num
    mid_start = mid_end

print(comb)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
l = []
istwo = False
for i in range(N):
    a = int(input())
    if a == 2 and i != 1: istwo = True
    l.append(a-1)
flag = [0]*N
flag[0] = 1
flag[1] = 2
cnt = 0
cur_b = 0
while istwo:
    cnt += 1
    next_b = l[cur_b]
    if flag[next_b] == 1:
        print(-1)
        break
    elif flag[next_b] == 2:
        print(cnt)
        break
    else:
        flag[next_b] == 1
        cur_b = next_b

if istwo == False:
    print(-1)

Fixed submission:
N = int(input())
l = [(int(input())-1) for _ in range(N)]
flag = [0]*N
flag[0] = 1
flag[1] = 2
cnt = 0
cur_b = 0
for i in range(N):
    cnt += 1
    next_b = l[cur_b]
    if flag[next_b] == 1:
        print(-1)
        break
    elif flag[next_b] == 2:
        print(cnt)
        break
    else:
        flag[next_b] == 1
        cur_b = next_b
else:print(-1)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
l = []
istwo = False
for i in range(N):
    a = int(input())
    if a == 2: istwo = True
    l.append(a-1)
flag = [0]*N
flag[0] = 1
flag[1] = 2
cnt = 0
cur_b = 0
while istwo:
    cnt += 1
    next_b = l[cur_b]
    if flag[next_b] == 1:
        print(-1)
        break
    elif flag[next_b] == 2:
        print(cnt)
        break
    else:
        flag[next_b] == 1
        cur_b = next_b

if istwo == False:
    print(-1)

Fixed submission:
N = int(input())
l = [(int(input())-1) for _ in range(N)]
flag = [0]*N
flag[0] = 1
flag[1] = 2
cnt = 0
cur_b = 0
for i in range(N):
    cnt += 1
    next_b = l[cur_b]
    if flag[next_b] == 1:
        print(-1)
        break
    elif flag[next_b] == 2:
        print(cnt)
        break
    else:
        flag[next_b] == 1
        cur_b = next_b
else:print(-1)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
l = [(int(input())-1) for _ in range(N)]
flag = [0]*N
flag[0] = 1
flag[1] = 2
cnt = 0
cur_b = 0
while True:
    cnt += 1
    next_b = l[cur_b]
    if flag[next_b] == 1:
        print(-1)
        break
    elif flag[next_b] == 2:
        print(cnt)
        break
    else:
        flag[next_b] == 1
        cur_b = next_b
        

Fixed submission:
N = int(input())
l = [(int(input())-1) for _ in range(N)]
flag = [0]*N
flag[0] = 1
flag[1] = 2
cnt = 0
cur_b = 0
for i in range(N):
    cnt += 1
    next_b = l[cur_b]
    if flag[next_b] == 1:
        print(-1)
        break
    elif flag[next_b] == 2:
        print(cnt)
        break
    else:
        flag[next_b] == 1
        cur_b = next_b
else:print(-1)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
import math
# Method to print the divisors 
def printDivisors(n) : 
    tuples = 0
    for i in range(1, int(math.sqrt(n) + 1)) : 
          
        if (n % i == 0) : 
            if (n / i == i) : 
                tuples+=1;    #(3,3) type
            else : 
                # Otherwise print both 
                tuples+=2
    return tuples
          

overall = 0  
for c in range(n-1,0,-1):
  val = n - c
  overall+= printDivisors(val)
print(overall)
  
  


Fixed submission:
N = int(input())
 
result = 0
for A in range(1, N + 1):
    result += (N - 1) // A
print(result)
Buggy python submission (verdict: Time Limit Exceeded):
n,k = tuple(map(int,input().split()))
boolean = [False for _ in range(n+1)]
for _ in range(k):
  l,r = tuple(map(int,input().split()))
  for num in range(l,r+1):
    boolean[num] = True;
dp = [0 for _ in range(n+1)]
dp[1] = 1
for i in range(2,n+1):
  for lower in range(1,i):
    if boolean[lower]:  #start + lower
      start = i - lower
      dp[i]+= dp[start]
print(dp[n]%998244353)

Fixed submission:
MOD = 998244353
N, K = map(int, input().split())
LR = [tuple(map(int, input().split())) for i in range(K)]
 
dp = [0] * (N+1)
dp[1] = 1    #ok
for i in range(1, N):
  dp[i] += dp[i-1]   #as min k = 1, so carry this on to the next
  dp[i] %= MOD
  for l, r in LR:
    ll = i + l
    rr = i + r
    if ll <= N:
      dp[ll] += dp[i]    #yes ll is accesible
      dp[ll] %= MOD
    if rr < N:
      dp[rr+1] -= dp[i]    #not accessible and will get cancelled out when we take prefix sum
      dp[rr+1] %= MOD
 
print(dp[-1])

Buggy python submission (verdict: Runtime Error):
'''go to every index and then run a index - 1 to 1 for it and check whether the proposed number lies somewhere or not'''
n,k = tuple(map(int,input().split()))
boolean = [False]*n
for _ in range(k):
  l,r = tuple(map(int,input().split()))
  for num in range(l,r+1):
    boolean[num] = True;
dp = [0 for _ in range(n+1)]
boolean = [False for _ in range(n+1)]
for i in range(2,n+1):
  for lower in range(1,i):
    if boolean[lower]:
    	start = i - lower
        dp[i] += dp[start]
print(dp[n])
    

Fixed submission:
MOD = 998244353
N, K = map(int, input().split())
LR = [tuple(map(int, input().split())) for i in range(K)]
 
dp = [0] * (N+1)
dp[1] = 1    #ok
for i in range(1, N):
  dp[i] += dp[i-1]   #as min k = 1, so carry this on to the next
  dp[i] %= MOD
  for l, r in LR:
    ll = i + l
    rr = i + r
    if ll <= N:
      dp[ll] += dp[i]    #yes ll is accesible
      dp[ll] %= MOD
    if rr < N:
      dp[rr+1] -= dp[i]    #not accessible and will get cancelled out when we take prefix sum
      dp[rr+1] %= MOD
 
print(dp[-1])
Buggy python submission (verdict: Runtime Error):
if S * T >= D:
  print('Yes')
else:
  print('No')

Fixed submission:
D,T,S = map(int,input().split())

if S * T >= D:
  print('Yes')
else:
  print('No')
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))

M = 0
JM = 0
for i in range(N-1):
  JM =0
  for j in range(i+1,N):
    JM += A[j]
  if JM > 10**9 + 7:
    JM = JM % (10 ** 9 + 7)
  M+= JM * A[i]
  if M > 10 ** 9 + 7:
    M = M % (10 ** 9 + 7)
    
print(M)

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

M = 0
sum = 0
for i in range(N):
  sum += A[i]

for i in range(N-1):
  sum = sum - A[i]
  M += A[i] * sum
  if M > 10 ** 9 + 7:
    M = M % (10 ** 9 + 7)
print(M)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))

M = 0

for i in range(0,N-1):
  for j in range(i+1,N):
    M  += A[i] * A[j]
    if  M > 10**9 + 7:
      M = M %(10**9 +7)
print(M)


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

M = 0
sum = 0
for i in range(N):
  sum += A[i]

for i in range(N-1):
  sum = sum - A[i]
  M += A[i] * sum
  if M > 10 ** 9 + 7:
    M = M % (10 ** 9 + 7)
print(M)
Buggy python submission (verdict: Runtime Error):
X,K,D = map(int,input().split())

X = abs(X)

if X == D :
  print (X)
elif X < D :
  pirnt( D- X)
elif X > K * D:
  print (X - K * D)
elif X // D < K:
  print (X % D)
else:
  print(X)

Fixed submission:
X,K,D = map(int,input().split())

X = abs(X)

if X == D :
  if K == 0:
    print (X)
  elif K % 2 == 0:
    print(X)
  else:
    print(0)
elif X < D :
  if K == 0 :
    print(X)
  elif K % 2 ==0:
    print(X)
  else:
    print( abs(D - X))
elif X > K * D:
  print (X - K * D)

elif X // D < K:
  K = K - X // D
  if K % 2 == 0:
    print (X % D)
  else:
    print (abs(D - X % D))
else:
  print(X)

Buggy python submission (verdict: Runtime Error):
X,K,D = map(int,input().split())

X = abs(X)

if X == D :
  print (X)
elif X < D :
  pirnt( X - D)
elif X > K * D:
  print (X - K * D)
elif X // D < K:
  print (X % D)
else:
  print(X)


Fixed submission:
X,K,D = map(int,input().split())

X = abs(X)

if X == D :
  if K == 0:
    print (X)
  elif K % 2 == 0:
    print(X)
  else:
    print(0)
elif X < D :
  if K == 0 :
    print(X)
  elif K % 2 ==0:
    print(X)
  else:
    print( abs(D - X))
elif X > K * D:
  print (X - K * D)

elif X // D < K:
  K = K - X // D
  if K % 2 == 0:
    print (X % D)
  else:
    print (abs(D - X % D))
else:
  print(X)

Buggy python submission (verdict: Runtime Error):
X,K,D = map(int,input().split())

X = abs(X)

if X == D :
  print (X)
elif X <D :
  pirnt(X-D)
elif X > K * D:
  print (X - K * D)
elif X // D < K:
  print (X % D)


Fixed submission:
X,K,D = map(int,input().split())

X = abs(X)

if X == D :
  if K == 0:
    print (X)
  elif K % 2 == 0:
    print(X)
  else:
    print(0)
elif X < D :
  if K == 0 :
    print(X)
  elif K % 2 ==0:
    print(X)
  else:
    print( abs(D - X))
elif X > K * D:
  print (X - K * D)

elif X // D < K:
  K = K - X // D
  if K % 2 == 0:
    print (X % D)
  else:
    print (abs(D - X % D))
else:
  print(X)
Buggy python submission (verdict: Runtime Error):
a = int(intput())

print(a + a*a + a*a*a)

Fixed submission:
a = int(input())

print(a + a*a + a*a*a)
Buggy python submission (verdict: Runtime Error):
s = input()
t = input()

s_len = len(s)
count = 0
for i in range(s):
  if s[i] !=  t[i]:
    count += 1
print(count)

Fixed submission:
s = input()
t = input()

s_len = len(s)
count = 0
for i in range(s_len):
  if s[i] !=  t[i]:
    count += 1
print(count)
Buggy python submission (verdict: Runtime Error):
n,k = list(map(int,input().split()))

p = lilst(map(int, input().split()))

p.sort()

print(sum(p[:k]))


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

p = list(map(int, input().split()))

p.sort()

print(sum(p[:k]))
Buggy python submission (verdict: Runtime Error):
X = list(map(int,input().split()))

print(A.index(0)+1)

Fixed submission:
X = list(map(int, input().split()))
sum = X[0] + X[1] + X[2] + X[3] + X[4]
print(15 - sum)
Buggy python submission (verdict: Runtime Error):
X,N = map(int, input().split())
P = list(map(int, input().split()))

if P.len == 0:
  print(X)
else:
  for i in range(1,100):
    if P.count(X-i) == 0:
      print(X-i)
      break
    elif P.count(X+1) == 0:
      print(X+1)
      break
    else:
      continue

Fixed submission:
X,N = map(int, input().split())
P = list(map(int, input().split()))

if len(P) == 0:
  print(X)
else:
  for i in range(0,10000):
    if P.count(X-i) == 0:
      print(X-i)
      break
    elif P.count(X+i) == 0:
      print(X+i)
      break
    else:
      continue

Buggy python submission (verdict: Runtime Error):
X,N = map(int, input().split())
P = list(map(int, input().split()))

if P.len == 0:
  print(X)
else:
  for i in range(X,1):
    if P.count(X-i) == 0:
      print(X-i)
      break
    elif P.count(X+1) == 0:
      print(X+1)
      break
    else:
      continue

Fixed submission:
X,N = map(int, input().split())
P = list(map(int, input().split()))

if len(P) == 0:
  print(X)
else:
  for i in range(0,10000):
    if P.count(X-i) == 0:
      print(X-i)
      break
    elif P.count(X+i) == 0:
      print(X+i)
      break
    else:
      continue

Buggy python submission (verdict: Runtime Error):
X,N = map(int, input().split())
P = list(map(int, input().split()))

if P.len == 0:
  print(X)
else:
  for i in range(X,1):
    if P.index(X-i) == 0:
      print(X-i)
      break
    elif P.index(X+1) == 0:
      print(X+1)
      break
    else:
      continue

Fixed submission:
X,N = map(int, input().split())
P = list(map(int, input().split()))

if len(P) == 0:
  print(X)
else:
  for i in range(0,10000):
    if P.count(X-i) == 0:
      print(X-i)
      break
    elif P.count(X+i) == 0:
      print(X+i)
      break
    else:
      continue
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3


def main():
    N = map(int, open(0).read().split())
    print(-(-N // 2))


main()


Fixed submission:
#!/usr/bin/env python3


def main():
    N = int(input())
    print(-(-N // 2))


main()
Buggy python submission (verdict: Time Limit Exceeded):
import itertools
import collections
                                                                          
N, Y = map(int, input().split())
for l in itertools.combinations_with_replacement([10000, 5000, 1000], N):
    if sum(l) == Y:
        c = collections.Counter(l)
        print("{} {} {}".format(c[10000], c[5000], c[1000]))
        break
else:
    print("-1 -1 -1")

Fixed submission:
N, Y = map(int, input().split())
Y //= 1000
for nog in range(N + 1):
    for hig in range(N + 1 - nog):
        yuk = N - nog - hig
        if nog + hig * 5 + yuk * 10 == Y:
            print(yuk, hig, nog)
            break
    else:
        continue
    break
else:
    print("-1 -1 -1")
Buggy python submission (verdict: Time Limit Exceeded):
import re
                                         
S = input()
T = S
while True:
    if re.search("dreamer$", T):
        T = T[:-7]
    elif re.search("eraser$", T):
        T = T[:-6]
    elif re.search("(dream|erase)$", T):
        T = T[:-5]
    else:
        print("NO")
        break
    if T == "":
        print("YES")
        break

Fixed submission:
import re
                                      
S = input()
S = re.sub("eraser", "", S)
S = re.sub("erase", "", S)
S = re.sub("dreamer", "", S)
S = re.sub("dream", "", S)
print("YES" if len(S) == 0 else "NO")
Buggy python submission (verdict: Runtime Error):
import math

def main():
    N, D = list(map(int, input().split()))
    ans = 0
    for i in range(0,N):
        A, B = list(map(int, input().split()))
        if dist <= D:
            ans +=1
    print(ans)


if __name__ == '__main__':
    main()

Fixed submission:
import math

def main():
    N, D = list(map(int, input().split()))
    ans = 0
    for i in range(0,N):
        A, B = list(map(int, input().split()))
        dist = math.sqrt(A**2 + B**2)
        if dist <= D:
            ans +=1
    print(ans)


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Runtime Error):
import math

def main():
    N, D = list(map(int, input().split()))
    ans = 0
    for i in range(0,N):
        A, B = list(map(int, input().split()))
        print(dist)
        if dist <= D:
            ans +=1
    print(ans)


if __name__ == '__main__':
    main()

Fixed submission:
import math

def main():
    N, D = list(map(int, input().split()))
    ans = 0
    for i in range(0,N):
        A, B = list(map(int, input().split()))
        dist = math.sqrt(A**2 + B**2)
        if dist <= D:
            ans +=1
    print(ans)


if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
def main():
    N = int(input())

    ans = [0] * 4001
    for i in range(1, 201):
        for j in range(1, 201):
            if i**2 + j**2 < 4001:
                for k in range(1, 201):
                    tmp = i**2 + j**2 + k**2 + i*j + j*k + i*k
                    if tmp < 4001:
                        ans[tmp] += 1

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


if __name__ == '__main__':
    main()


Fixed submission:
def main():
    N = int(input())

    ans = [0] * 10001
    for i in range(1, 101):
        for j in range(1, 101):
            if i**2 + j**2 < 10001:
                for k in range(1, 101):
                    tmp = i**2 + j**2 + k**2 + i*j + j*k + i*k
                    if tmp < 10001:
                        ans[tmp] += 1

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


if __name__ == '__main__':
    main()
Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline

def make_divisors(n):
    div_num = 0
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            div_num += 1
            if i != n // i:
                div_num += 1
    return div_num

n = int(input())
count = 0
for i in range(1, n):
  count += make_divisors(i)
print(count)

Fixed submission:
import sys
input = sys.stdin.readline

def make_divisors(n):
    div_num = 0
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            div_num += 1
            if i != n // i:
                div_num += 1
    return div_num

ans = [1166714, 2472071, 3829761, 5221424, 6638407, 8075420, 9529244, 10997400, 12478098]

n = int(input())
keta = 0
for j in range(1, 10+1):
  if n <= j*100000:
    keta = j-1
    break
if keta == 0:
  count = 0
else:
  count = ans[keta-1]
for i in range(max(keta*100000,1), n):
  count += make_divisors(i)
print(count)
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline
a, b, c = map(int, input().split())
k = int(input())
def two(num):
  for i in range(1,8):
    if (2**(i-1)<=num) & (num<2**(i)):
      return i
ab = two(a/b)
b_ = b*2**ab
b_c = two(b_/c)

if k>=(ab+b_c):
  print("Yes")
else:
  print("No")
  

Fixed submission:
import sys
input = sys.stdin.readline
a, b, c = map(int, input().split())
k = int(input())
def two(num):
  for i in range(1,8):
    if (2**(i-1)<=num) & (num<2**(i)):
      return i
  return 0
ab = two(a/b)
b_ = b*2**ab
b_c = two(b_/c)

if k>=(ab+b_c):
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
# -*- coding: utf-8 -*-
import sys
input = sys.stdin.readline
N = int(input())
ab = [chr(ord('a') + i) for i in range(26)]
j = 1
while True:
  temp = 1000000000000001//(26**j)
  j+=1
  if temp<1:
    break
ans = ''
for i in range(1, j+2):
  ax = (N//(26**(i-1)))%26
  if ax==0:
    ax = 25
  ans += ab[ax]
  if N//(26**i)<1:
    print(ans[::-1])
    sys.exit()

Fixed submission:
# -*- coding: utf-8 -*-
import sys
input = sys.stdin.readline
a = str(input())
if a.isupper():
  print('A')
else:
  print('a')
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline
n = int(input())
a = [int(s) for s in input().split()]
# a = list(range(1, 2*10**5))
ans = 0
for i,j in enumerate(a):
  a_i = sum(a[i]%s==0 for s in a)
  ans += min([2, a_i])
  # print(min([2, a_i]))
# print('###')
print(n - (ans-n))


Fixed submission:
import sys
input = sys.stdin.readline
a = [int(s) for s in input().split()]
print(a.index(0)+1)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
prices = list(map(int,input().split()))
stock_num = 0
cash = 1000

for i in range(n-1):
    if prices[i+1] >= prices[i]:
        while cash >= prices[i]:
            cash -= prices[i]
            stock_num += 1
    else:
        while stock_num != 0:
            cash += prices[i]
            stock_num -=1

while stock_num != 0:
    cash += prices[n-1]
    stock_num -=1

print(cash)


Fixed submission:
n = int(input())
prices = list(map(int,input().split()))
stock_num = 0
cash = 1000

for i in range(n-1):
    if prices[i+1] >= prices[i]:
        temp = cash // prices[i]
        cash -= prices[i]*temp
        stock_num += temp
    else:
        cash += stock_num*prices[i]
        stock_num = 0

cash += stock_num*prices[n-1]
stock_num = 0

print(cash)