Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [int(input()) for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]

k = inp()
s = input()
lf len(s) <= k:
    print(s)
else:
    print(s[:k]+"...")

Fixed submission:
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [int(input()) for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]

k = inp()
s = input()
if len(s) <= k:
    print(s)
else:
    print(s[:k]+"...")
Buggy python submission (verdict: Runtime Error):
a = input()
b = input()
if a == b[:-1]: print("Yes")
  else: print("No")

Fixed submission:
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [int(input()) for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]
mp = lambda :map(int,input().split())


a = input()
b = input()
if a == b[:-1]:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [int(input()) for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]
mp = lambda :map(int,input().split())

for _ in range(int(input())):
    a = input()
    b = input()
    if a == b[:-1]: print("Yes")
    else: print("No")

Fixed submission:
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [int(input()) for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]
mp = lambda :map(int,input().split())


a = input()
b = input()
if a == b[:-1]:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [int(input()) for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]
mp = lambda :map(int,input().split())

n = inp()
x = ip()
ctr = 0
for i in range(n-1):
    for j in range(i+1,n):
        if (j-i) == x[i]+x[j]:
            ctr += 1
print(ctr)

Fixed submission:
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [int(input()) for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]
mp = lambda :map(int,input().split())

n = inp()
x = ip()
ctr = 0
a = [i+x[i] for i in range(n)]
b = [i-x[i] for i in range(n)]

dt1 = {} 
for i in a: dt1[i] = dt1.get(i,0)+1
dt2 = {} 
for i in b: dt2[i] = dt2.get(i,0)+1

for i in dt1:
    if i in dt2:
        ctr += dt1[i]*dt2[i]
print(ctr)
Buggy python submission (verdict: Runtime Error):
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [input() for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]
mp = lambda :map(int,input().split())

n = input()
x = ipnl(n)
print(len(set(x)))

Fixed submission:
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [input() for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]
mp = lambda :map(int,input().split())

n = inp()
x = ipnl(n)
print(len(set(x)))

Buggy python submission (verdict: Runtime Error):
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [input() for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]
mp = lambda :map(int,input().split())

n = input()
x = inpl(n)
print(len(set(x)))

Fixed submission:
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
#dt = {k:v for k,v in sorted(x.items(), key=lambda i: i[1])}
ipnl = lambda n: [input() for _ in range(n)]
inp = lambda :int(input())
ip = lambda :[int(w) for w in input().split()]
mp = lambda :map(int,input().split())

n = inp()
x = ipnl(n)
print(len(set(x)))
Buggy python submission (verdict: Runtime Error):
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
import sys;input = sys.stdin.readline
inp,ip = lambda :int(input()),lambda :[int(w) for w in input().split()]

def knapsack(sm,W,n,V):
    K = [0]*(sm+1)
    for i in range(1,n+1):
        for j in reversed(range(1,sm+1)):
            if j - W[i-1] >= 0:
                K[j] = max(V[i-1]+K[j-W[i-1]], K[j])
    return K[-1]

n,wt = ip()
V,W = [0]*n,[0]*n
for i in range(n):
    w,v = ip()
    V[i] = v
    W[i] = w
ans = knapsack(wt,W,n,V)
print(ans)
    


Fixed submission:
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
import sys;input = sys.stdin.readline
inp,ip = lambda :int(input()),lambda :[int(w) for w in input().split()]

def knapsack(wt,sm,W,n,V):
    K = [float('inf')]*(sm+1)
    K[0] = 0
    for i in range(n):
        for j in range(sm-V[i],-1,-1):
                K[j+V[i]] = min(K[j+V[i]],K[j]+W[i])
    #print(K)
    return max([i for i in range(sm+1) if K[i] <= wt])

n,wt = ip()
V,W = [0]*n,[0]*n
for i in range(n):
    w,v = ip()
    V[i] = v
    W[i] = w
ans = knapsack(wt,sum(V),W,n,V)
print(ans)

Buggy python submission (verdict: Runtime Error):
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
import sys;input = sys.stdin.readline
inp,ip = lambda :int(input()),lambda :[int(w) for w in input().split()]

def knapsack(sm,W,n,V):
    K = [[0]*(sm+1) for i in range(n+1)]
    for i in range(1,n+1):
        for j in range(1,sm+1):
            K[i][j] = K[i-1][j]
            if W[i-1] <= j:
                K[i][j] = max(V[i-1]+K[i-1][j-W[i-1]], K[i-1][j])
    return K[n][sm]

n,wt = ip()
V,W = [0]*n,[0]*n
for i in range(n):
    w,v = ip()
    V[i] = v
    W[i] = w

ans = knapsack(wt,W,n,V)
print(ans)
    


Fixed submission:
#dt = {} for i in x: dt[i] = dt.get(i,0)+1
import sys;input = sys.stdin.readline
inp,ip = lambda :int(input()),lambda :[int(w) for w in input().split()]

def knapsack(wt,sm,W,n,V):
    K = [float('inf')]*(sm+1)
    K[0] = 0
    for i in range(n):
        for j in range(sm-V[i],-1,-1):
                K[j+V[i]] = min(K[j+V[i]],K[j]+W[i])
    #print(K)
    return max([i for i in range(sm+1) if K[i] <= wt])

n,wt = ip()
V,W = [0]*n,[0]*n
for i in range(n):
    w,v = ip()
    V[i] = v
    W[i] = w
ans = knapsack(wt,sum(V),W,n,V)
print(ans)
Buggy python submission (verdict: Runtime Error):
S = input()
if S[-1] == s
	print(S + 'es')
else:
 	print(S + 's')

Fixed submission:
S = input()
if S[-1] == 's':
	print(S + 'es')
else:
 	print(S + 's')
Buggy python submission (verdict: Runtime Error):
a, b, c, d = list(map(int, input().split()))

a += 1
c += 1

max = a*c

a*d = x
b*c = y
b*d = z

if max < x :
    max = x
if max < y :
    max = y
if max < z :
    max = z

print(max)

Fixed submission:
a, b, c, d = list(map(int, input().split()))

maxn = a*c

x = a*d
y = b*c
z = b*d

if maxn < x :
    maxn = x
if maxn < y :
    maxn = y
if maxn < z :
    maxn = z

print(maxn)
Buggy python submission (verdict: Time Limit Exceeded):
#Sum of Divisors
import numpy as np
N = int(input())

def divisor(X):
    W1 = np.full(X,X)
    W2 = np.arange(1,X+1)
    return X-np.count_nonzero(W1%W2)

ans = 0
for i in range(1,N+1):
    ans += i*divisor(i)
    # print(ans,divisor(i))

print(ans)

Fixed submission:
#Sum of Divisors
import numpy as np
N = int(input())

ans = 0
for i in range(1,N+1):
    ans += (N//i)*((N//i)+1)*i/2

print(int(ans))
Buggy python submission (verdict: Time Limit Exceeded):
#Red Scarf
import numpy as np
N = int(input())
A = np.array(list(map(int, input().split())))
output = ''

def binary(A, p):
    if not np.all(A==0) :
        return binary( (A-A%2)/2 , p+1 ) + ((A%2).sum())%2 * 2**p
    return ((A%2).sum())%2 * 2**p

for i in range(N):
    ken = (np.delete(A,i))
    output += str(int(binary(ken,0)))
    if i != N-1:
        output += ' '

print(output)

Fixed submission:
#Red Scarf
N = int(input())
A = list(map(int, input().split()))
output = list()

axor = A[0]
for i in range(1,N):
    axor ^= A[i]

for i in range(N):
    output.append(axor^A[i])
print(*output)
Buggy python submission (verdict: Runtime Error):
ans = 0
s = []
for i in range(int(input())):
  a,b = map(int,input().split())
  if a==b:
    ans += 1
    s.append(ans)
  else:
    ans = 0
if max(s)>=3:
  print('Yes')
else:
  print('No')

Fixed submission:
ans = 0
s = []
for i in range(int(input())):
  a,b = map(int,input().split())
  if a==b:
    ans += 1
    s.append(ans)
  else:
    ans = 0
if len(s)!=0 and max(s)>=3:
  print('Yes')
elif len(s)==0:
  print('No')
else:
  print('No')
Buggy python submission (verdict: Runtime Error):
n = int(input())
s = 0
for i in range(1,4):
  s += a**i

Fixed submission:
n = int(input())
s = 0
for i in range(1,4):
  s += n**i
print(s)
Buggy python submission (verdict: Runtime Error):
n,k= map(int,input().split())
s = map(int,input().split())
s.sort()
print(sum(s[:k]))

Fixed submission:
n,k= map(int,input().split())
s = map(int,input().split())
li = list(s)
li.sort()
print(sum(li[:k]))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

count = 0
for A in range(1, N):
  for B in range ((A + 1), N):
    if (A*B) < N:
      count += 1

count = count * 2

for x in range(1, N):
  if x**2 < N:
    count += 1

print(count)

Fixed submission:
N = int(input())

count = 0
for A in range(1, N):
  N_ = (N - 1) // A
  count += N_

print(count)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

count = 0
for A in range(1, N):
  for B in range (1, N):
    if (A*B) < N:
      count += 1

print(count)

Fixed submission:
N = int(input())

count = 0
for A in range(1, N):
  N_ = (N - 1) // A
  count += N_

print(count)
Buggy python submission (verdict: Runtime Error):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, K = mapint()
dp = [0]*(N*2+1)
dp[1] = 1
dp[2] = -1
mod = 998244353
LR = [list(mapint()) for _ in range(K)]
for i in range(1, N+1):
    dp[i] = (dp[i]+dp[i-1])%mod
    for l, r in LR:
        dp[i+l] = (dp[i+l]+dp[i])%mod
        dp[i+r+1] = (dp[i+r+1]-dp[i])%mod

print(dp[N])
    

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, K = mapint()
mod = 998244353
dp = [0]*(N+1)
dp[1] = 1

Ks = [list(mapint()) for _ in range(K)]
Ks.sort()

class Bit:
    def __init__(self, n):
        self.size = n
        self.tree = [0] * (n + 1)
 
    def sums(self, i):
        s = 0
        while i > 0:
            s += self.tree[i]
            i -= i & -i
        return s
 
    def add(self, i, x):
        while i <= self.size:
            self.tree[i] += x
            i += i & -i

bit = Bit(N)
bit.add(1, 1)

for i in range(2, N+1):
    for l, r in Ks:
        if i-l<0:
            break
        dp[i] += bit.sums(i-l) - bit.sums(max(0, i-r-1))
        dp[i] %= mod
    bit.add(i, dp[i])

print(dp[-1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, K = mapint()
mod = 998244353
dp = [0]*N
dp[0] = 1

ok = [0]*(N+1)
for _ in range(K):
    l, r = mapint()
    ok[l-1] += 1
    ok[r] -= 1
from itertools import accumulate
ok = list(accumulate(ok))
lis = [i for i in range(1, N+1) if ok[i-1]]
for i in range(N):
    for d in lis:
        if i-d>=0:
            dp[i] += dp[i-d]
            dp[i] %= mod

print(dp[-1])

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, K = mapint()
mod = 998244353
dp = [0]*(N+1)
dp[1] = 1

Ks = [list(mapint()) for _ in range(K)]
Ks.sort()

class Bit:
    def __init__(self, n):
        self.size = n
        self.tree = [0] * (n + 1)
 
    def sums(self, i):
        s = 0
        while i > 0:
            s += self.tree[i]
            i -= i & -i
        return s
 
    def add(self, i, x):
        while i <= self.size:
            self.tree[i] += x
            i += i & -i

bit = Bit(N)
bit.add(1, 1)

for i in range(2, N+1):
    for l, r in Ks:
        if i-l<0:
            break
        dp[i] += bit.sums(i-l) - bit.sums(max(0, i-r-1))
        dp[i] %= mod
    bit.add(i, dp[i])

print(dp[-1])
Buggy python submission (verdict: Time Limit Exceeded):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, Q = mapint()
verti = [N-2]*(N-1)
horiz = [N-2]*(N-1)

left, top = N-2, N-2
ans = (N-2)**2
for _ in range(Q):
    c, x = mapint()
    x -= 1
    if c==1:
        if x<=left:
            ans -= top
            left = x-1
            for i in range(top):
                verti[i] = x-1
        else:
            ans -= horiz[x-1]
    if c==2:
        if x<=top:
            ans -= left
            top = x-1
            for i in range(left):
                horiz[i] = x-1
        else:
            ans -= verti[x-1]
print(ans)

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, Q = mapint()
verti = [N-2]*(N-1)
horiz = [N-2]*(N-1)

left, top = N-2, N-2
ans = (N-2)**2
last_top = (N-2, N-2)
last_left = (N-2, N-2)
for _ in range(Q):
    c, x = mapint()
    x -= 1
    if c==1:
        if x<=left:
            ans -= top
            left = x-1
            for i in range(left, last_left[0]+1):
                horiz[i] = last_top[1]
            last_left = (left, x-1)
        else:
            ans -= horiz[x-1]
    if c==2:
        if x<=top:
            ans -= left
            top = x-1
            for i in range(top, last_top[0]+1):
                verti[i] = last_left[1]
            last_top = (top, x-1)
        else:
            ans -= verti[x-1]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

R, C, K = mapint()
dp = [[[0]*4 for _ in range(C)] for _ in range(R)]
from collections import defaultdict
dic = [[0]*C for _ in range(R)]
for _ in range(K):
    r, c, v = mapint()
    dic[r-1][c-1] = v

for r in range(R):
    for c in range(C):
        v = dic[r][c]
        for i in range(4):
            if c!=0:
                dp[r][c][i] = dp[r][c-1][i]
            if r!=0:
                dp[r][c][0] = max(dp[r][c][0], dp[r-1][c][i])
        for i in range(2, -1, -1):
            dp[r][c][i+1] = max(dp[r][c][i+1], dp[r][c][i]+v)

print(max(dp[R-1][C-1]))

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

R, C, K = mapint()
last_dp = [[0]*4 for _ in range(C)]
dic = [[0]*C for _ in range(R)]
for _ in range(K):
    r, c, v = mapint()
    dic[r-1][c-1] = v

for r in range(R):
    dp = [[0]*4 for _ in range(C)]
    for c in range(C):
        v = dic[r][c]
        for i in range(4):
            if c!=0:
                dp[c][i] = dp[c-1][i]
            if r!=0:
                dp[c][0] = max(dp[c][0], last_dp[c][i])
        if v!=0:
            for i in range(2, -1, -1):
                dp[c][i+1] = max(dp[c][i+1], dp[c][i]+v)
    last_dp = dp

print(max(dp[C-1]))

Buggy python submission (verdict: Time Limit Exceeded):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

R, C, K = mapint()
dp = [[[0]*4 for _ in range(C)] for _ in range(R)]
from collections import defaultdict
dic = defaultdict(int)
for _ in range(K):
    r, c, v = mapint()
    dic[(r-1, c-1)] = v

for r in range(R):
    for c in range(C):
        v = dic[(r, c)]
        for i in range(4):
            if c!=0:
                dp[r][c][i] = dp[r][c-1][i]
            if r!=0:
                dp[r][c][0] = max(dp[r][c][0], dp[r-1][c][i])
        for i in range(2, -1, -1):
            dp[r][c][i+1] = max(dp[r][c][i+1], dp[r][c][i]+v)

print(max(dp[R-1][C-1]))

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

R, C, K = mapint()
last_dp = [[0]*4 for _ in range(C)]
dic = [[0]*C for _ in range(R)]
for _ in range(K):
    r, c, v = mapint()
    dic[r-1][c-1] = v

for r in range(R):
    dp = [[0]*4 for _ in range(C)]
    for c in range(C):
        v = dic[r][c]
        for i in range(4):
            if c!=0:
                dp[c][i] = dp[c-1][i]
            if r!=0:
                dp[c][0] = max(dp[c][0], last_dp[c][i])
        if v!=0:
            for i in range(2, -1, -1):
                dp[c][i+1] = max(dp[c][i+1], dp[c][i]+v)
    last_dp = dp

print(max(dp[C-1]))
Buggy python submission (verdict: Runtime Error):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N = int(input())
Cs = list(input())
from collections import deque
Q = deque()
for i, c in enumerate(Cs):
    if c=='R':
        Q.append(i)

ans = 0
for i in range(N):
    c = Cs[i]
    if c=='W':
        r = Q.pop()
        if r>i:
            ans += 1
        else:
            break
print(ans)

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N = int(input())
Cs = list(input())
from collections import deque
Q = deque()
for i, c in enumerate(Cs):
    if c=='R':
        Q.append(i)

ans = 0
for i in range(N):
    c = Cs[i]
    if c=='W':
        if not Q:
            break
        r = Q.pop()
        if r>i:
            ans += 1
        else:
            break
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, K = mapint()
As = list(mapint())

now = 1
for i in range(N):
    a = As[i]
    if i<K:
        now*=a
    else:
        past = now
        now = now*a//As[i-K]
        if now>past:
            print('Yes')
        else:
            print('No')
    

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, K = mapint()
As = list(mapint())

now = 1
for i in range(N):
    a = As[i]
    if i<K:
        pass
    else:
        past = As[i-K]
        now = a
        if now>past:
            print('Yes')
        else:
            print('No')
Buggy python submission (verdict: Runtime Error):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N = int(input())
Xs = list(map(int, list(input())))
rXs = Xs[::-1]

num = sum(Xs)
pos = 0
neg = 0

pow_pos = [0]*N
pow_neg = [0]*N
dic = {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 1, 7: 2, 8: 1}

for m in range(1, num+2):
    c = bin(m)[2:].count('1')
    dic[m] = dic[m%c]+1
    
for i in range(N):
    pow_pos[i] = pow(2, i, num+1)
    if not num==1:
        pow_neg[i] = pow(2, i, num-1)

for i, x in enumerate(rXs):
    if x==0:
        continue
    pos += pow_pos[i]
    if not num==1:
        neg += pow_neg[i]

anss = []
for i, x in enumerate(rXs):
    if num==1 and x==1:
        ans.append(0)
        continue
    if x==0:
        mod = num+1
        tmp = (pos+pow_pos[i])%mod
    else:
        mod = num-1
        tmp = (neg-pow_neg[i])%mod
    ans = dic[tmp]+1
    anss.append(ans)

for ans in anss[::-1]:
    print(ans)
        
            

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N = int(input())
Xs = list(map(int, list(input())))
rXs = Xs[::-1]

num = sum(Xs)
pos = 0
neg = 0

pow_pos = [0]*N
pow_neg = [0]*N
dic = {0: 0, 1: 1, 2: 1, 3: 2, 4: 1, 5: 2, 6: 1, 7: 2, 8: 1}

for m in range(1, num+2):
    c = bin(m)[2:].count('1')
    dic[m] = dic[m%c]+1
    
for i in range(N):
    pow_pos[i] = pow(2, i, num+1)
    if not num==1:
        pow_neg[i] = pow(2, i, num-1)

for i, x in enumerate(rXs):
    if x==0:
        continue
    pos += pow_pos[i]
    if not num==1:
        neg += pow_neg[i]

anss = []
for i, x in enumerate(rXs):
    if num==1 and x==1:
        anss.append(0)
        continue
    if x==0:
        mod = num+1
        tmp = (pos+pow_pos[i])%mod
    else:
        mod = num-1
        tmp = (neg-pow_neg[i])%mod
    ans = dic[tmp]+1
    anss.append(ans)

for ans in anss[::-1]:
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N = int(input())

from collections import defaultdict
dic = defaultdict(int)
ans = 0
for i in range(1, N+1):
    for j in range(i, N+1, i):
        dic[j]+=1
    ans += i*dic[i]
print(ans)

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N = int(input())

dic = [0]*(N+1)
ans = 0
for i in range(1, N+1):
    for j in range(i, N+1, i):
        dic[j]+=1
    ans += i*dic[i]
print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

from math import sqrt
from collections import Counter, deque
N = int(input())
As = list(mapint())
As.sort()
C = Counter(As)

MAX = As[-1]
Ps = deque(As)
cnt = 0
for _ in range(N):
    p = Ps.popleft()
    if C[p]>=2:
        continue
    Ps = deque([i for i in Ps if i%p!=0])
    cnt += 1
    if p>=sqrt(MAX):
        break
print(len(Ps)+cnt)

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

from math import sqrt
from collections import Counter, deque
N = int(input())
As = list(mapint())
As.sort()
C = Counter(As)
S = set()

MAX = As[-1]
cnt = 0
for n in range(N):
    p = As[n]
    if p in S:
        continue
    i = 1
    while MAX>=p*i:
        S.add(p*i)
        i += 1
    if C[p]>=2:
        continue
    cnt += 1

print(cnt)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, K = mapint()
now = list(mapint())
from math import sqrt
import numpy as np
iteration = min(N.bit_length()*2, K)
for k in range(iteration):
    nx = np.array([0]*N)
    for i, a in enumerate(now):
        nx[max(0, i-a):min(i+a+1, N)] += 1
    now = list(nx)
print(*now)

Fixed submission:
import sys
def input(): return sys.stdin.readline().strip()
def mapint(): return map(int, input().split())
sys.setrecursionlimit(10**9)

N, K = mapint()
now = list(mapint())
from itertools import accumulate
iteration = min(N.bit_length()*4, K)
for k in range(iteration):
    nx = [0]*N
    for i, a in enumerate(now):
        nx[max(0, i-a)] += 1
        if i+a+1<N:
            nx[i+a+1] -= 1
    nx = list(accumulate(nx))
    now = nx[:]
print(*now)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
As = list(map(int, input().split()))
ans = 1
for a in As:
    ans *= a
if ans>10**18:
    print(-1)
else:
    print(ans)

Fixed submission:
N = int(input())
As = list(map(int, input().split()))
ans = 1
if 0 in As:
    print(0)
else:
    for a in As:
        ans *= a
        if ans>10**18:
            break
    if ans>10**18:
        print(-1)
    else:
        print(ans)