Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
from itertools import product

H, W = map(int, input().split())
S = [input() for _ in range(H)]
color = [[None] * W for _ in range(H)]
memo = [[0, 0] for _ in range(H * W + 1)]
cnt = 1


def dfs(p, c):
    x, y = p
    color[x][y] = c
    memo[cnt][c] += 1
    for dx, dy in [[1, 0], [0, 1], [-1, 0], [0, -1]]:
        nx = x + dx
        ny = y + dy
        if 0 <= nx < H and 0 <= ny < W and color[nx][ny] is None and c != (S[nx][ny] == '#'):
            dfs([nx, ny], not c)


for i, j in product(range(H), range(W)):
    if color[i][j] is None:
        dfs([i, j], S[i][j] == '#')
        cnt += 1

ans = 0
for i in range(H * W):
    ans += memo[i][0] * memo[i][1]
print(ans)


Fixed submission:
#!/usr/bin/env python3
from itertools import product
import sys

sys.setrecursionlimit(200000)

H, W = map(int, input().split())
S = [input() for _ in range(H)]
color = [[None] * W for _ in range(H)]
memo = [[0, 0] for _ in range(H * W + 1)]
cnt = 1


def dfs(p, c):
    x, y = p
    color[x][y] = c
    memo[cnt][c] += 1
    for dx, dy in [[1, 0], [0, 1], [-1, 0], [0, -1]]:
        nx = x + dx
        ny = y + dy
        if 0 <= nx < H and 0 <= ny < W and color[nx][ny] is None and c != (S[nx][ny] == '#'):
            dfs([nx, ny], not c)


for i, j in product(range(H), range(W)):
    if color[i][j] is None:
        dfs([i, j], S[i][j] == '#')
        cnt += 1

ans = 0
for i in range(H * W):
    ans += memo[i][0] * memo[i][1]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
A, B, K = map(int, input().split())
for i in range(A, B + 1):
    if i < A + K or B - K < i:
        print(i)


Fixed submission:
#!/usr/bin/env python3
A, B, K = map(int, input().split())
for i in range(A, min(B + 1, A + K)):
    print(i)
for i in range(max(0, B - K + 1), B + 1):
    if i < A + K:
        continue
    print(i)
Buggy python submission (verdict: Runtime Error):
N=input()
A=input()
print(['No','Yes'][N%500<=A])

Fixed submission:
N=int(input())
A=int(input())
print(['No','Yes'][N%500<=A])
Buggy python submission (verdict: Runtime Error):
N=int(input())
a=sorted(map(int,input().split()),reversed=True)
ans=sum(((-1)**i)*x for i,x in enumerate(a))
print(ans)

Fixed submission:
N=int(input())
a=sorted(map(int,input().split()),reverse=True)
ans=sum(((-1)**i)*x for i,x in enumerate(a))
print(ans)
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
s = list(input())
x, y = map(int, input().split())

X = [0] * 16001
Y = [0] * 16001

X[8000] = Y[8000] = 0
isx = 1
tcnt = 0
fcnt = 0
for i in range(len(s)):
    if s[i] == 'T':
        for j in range(len(X)):
            if isx == 1:
                if tcnt == 0:
                    X[8000 + fcnt] = tcnt + 1
                    break
                if X[j] == tcnt:
                    X[j + fcnt] = X[j - fcnt] = tcnt + 1
            else:
                if X[j] == tcnt:
                    X[j] = tcnt + 1
        for j in range(len(Y)):
            if isx == 0:
                if Y[j] == tcnt:
                    Y[j + fcnt] = Y[j - fcnt] = tcnt + 1
            else:
                if Y[j] == tcnt:
                    Y[j] = tcnt + 1
        isx ^= 1
        tcnt += 1
        fcnt = 0
    else:
        fcnt += 1

if s[-1] == 'F':
    for j in range(len(X)):
        if isx == 1:
            if tcnt == 0:
                X[8000 + fcnt] = tcnt + 1
                break
            if X[j] == tcnt:
                X[j + fcnt] = X[j - fcnt] = tcnt + 1
        else:
            if X[j] == tcnt:
                X[j] = tcnt + 1
    for j in range(len(Y)):
        if isx == 0:
            if Y[j] == tcnt:
                Y[j + fcnt] = Y[j - fcnt] = tcnt + 1
        else:
            if Y[j] == tcnt:
                Y[j] = tcnt + 1
    isx ^= 1
    tcnt += 1
    fcnt = 0

print('Yes' if (X[8000 + x] == tcnt and Y[8000 + y] == tcnt) else 'No')


Fixed submission:
#!/usr/bin/env python3
s = input()
x, y = map(int, input().split())

d = [len(s) for s in s.split('T')]
nx = [set([d[0]])]
ny = [set([0])]

for i, l in enumerate(d[2::2]):
    new_n = set()
    for n in nx[i]:
        new_n.add(n + l)
        new_n.add(n - l)
    nx.append(new_n)

for i, l in enumerate(d[1::2]):
    new_n = set()
    for n in ny[i]:
        new_n.add(n + l)
        new_n.add(n - l)
    ny.append(new_n)

print('Yes' if (x in nx[-1] and y in ny[-1]) else 'No')
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
A, B = map(int, input().split())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
dp = [[0] * (B + 1) for _ in range(A + 1)]

for i in range(A)[::-1]:
    dp[i][B] = dp[i + 1][B] + a[i] if (i + B) % 2 == 0 else dp[i + 1][B]
for j in range(B)[::-1]:
    dp[A][j] = dp[A][j + 1] + b[j] if (A + j) % 2 == 0 else dp[A][j + 1]

for i in range(A)[::-1]:
    for j in range(B)[::-1]:
        dp[i][j] = \
        max(dp[i + 1][j] + a[i], dp[i][j + 1] + b[j]) if (i + j) % 2 == 0 else \
        min(dp[i + 1][j], dp[i][j + 1])

print(dp[0][0])


Fixed submission:
#!/usr/bin/env python3
S = input()
n = [S.count('a'), S.count('b'), S.count('c')]

ans = False
if len(S) == 1:
    ans = True
elif len(S) == 2 and len([x for x in n if x != 0]) == 2:
    ans = True
else:
    n.sort()
    if n[0] != 0 and n[2] - n[0] <= 1:
        ans = True
print(('NO', 'YES')[ans])
Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
N = int(input())

def solve():
    for h in range(1, 3501):
        for w in range(1, 3501):
            a = N * h * w
            b = 4 * h * w - N * h - N * w
            if b < 1:
                continue
            n = a / b
            if n == int(n):
                print(h, int(n), w)
                return

solve()


Fixed submission:
#!/usr/bin/env python3
N = int(input())

def solve():
    for h in range(1, 3501):
        for w in range(h, 3501):
            a = N * h * w
            b = 4 * h * w - N * h - N * w
            if b < 1:
                continue
            n = a / b
            if n == int(n):
                print(h, int(n), w)
                return

solve()

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
N = int(input())

def solve():
    for h in range(1, 3501):
        for w in range(1, 3501):
            a = N * h * w
            b = 4 * h * w - N * h - N * w
            if b >= 1:
                n, m = divmod(a, b)
                if m == 0:
                    print(h, n, w)
                    return

solve()


Fixed submission:
#!/usr/bin/env python3
N = int(input())

def solve():
    for h in range(1, 3501):
        for w in range(h, 3501):
            a = N * h * w
            b = 4 * h * w - N * h - N * w
            if b < 1:
                continue
            n = a / b
            if n == int(n):
                print(h, int(n), w)
                return

solve()
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3

N, W = map(int, input().split())
w = [0] * N
v = [0] * N
for i in range(N):
    w[i], v[i] = map(int, input().split())

dp = [[0] * (W + 1) for i in range(N + 1)]
for i in range(N):
    for j in range(W + 1):
        if j < w[i]:
            dp[i + 1][j] = dp[i][j]
        else:
            dp[i + 1][j] = max(dp[i][j], dp[i][j - w[i]] + v[i])

print(dp[N][W])


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

def rec(i, j):
    if (i, j) in dp:
        return dp[(i, j)]

    if i == N:
        res = 0
    elif j < w[i]:
        res = rec(i + 1, j)
    else:
        res = max(rec(i + 1, j), rec(i + 1, j - w[i]) + v[i])

    dp[(i, j)] = res
    return res


N, W = map(int, input().split())
w = [0] * N
v = [0] * N
for i in range(N):
    w[i], v[i] = map(int, input().split())

dp = {}
print(rec(0, W))
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(int(10**5))

N = int(input())
a = [int(input()) - 1 for _ in range(N)[1:]]

children = [[] * N for i in range(N)]
for i in range(N)[:-1]:
    children[a[i]].append(i + 1)

def dfs(n):
    if children[n] == []:
        return 0
    dp = [dfs(child) for child in children[n]]
    dp.sort(reverse=True)
    return max(dp[i] + (i + 1) for i in range(len(dp)))

print(dfs(0))


Fixed submission:
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

N = int(input())

children = [[] * N for i in range(N)]
for i in range(N)[1:]:
    a = int(input()) - 1
    children[a].append(i)

def dfs(n):
    if children[n] == []:
        return 0
    dp = [dfs(child) for child in children[n]]
    dp.sort(reverse=True)
    return max(dp[i] + (i + 1) for i in range(len(dp)))

print(dfs(0))

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
N = int(input())
a = [int(input()) - 1 for _ in range(N)[1:]]

children = [[] * N for i in range(N)]
for i in range(N)[:-1]:
    children[a[i]].append(i + 1)

def dfs(n):
    if children[n] == []:
        return 0
    dp = [dfs(child) for child in children[n]]
    dp.sort(reverse=True)
    return max(dp[i] + (i + 1) for i in range(len(dp)))

print(dfs(0))


Fixed submission:
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**6)

N = int(input())

children = [[] * N for i in range(N)]
for i in range(N)[1:]:
    a = int(input()) - 1
    children[a].append(i)

def dfs(n):
    if children[n] == []:
        return 0
    dp = [dfs(child) for child in children[n]]
    dp.sort(reverse=True)
    return max(dp[i] + (i + 1) for i in range(len(dp)))

print(dfs(0))
Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
N, K = map(int, input().split())
a = list(map(int, input().split()))

pl = [(x if (x > 0) else 0) for x in a]
ans = 0
if lambda x: x > 0 in a:
    for i in range(N - K + 1):
        ans = max(ans, max(0, sum(a[i:K + i])) + sum(pl[:i]) + sum(pl[K + i:]))
print(ans)


Fixed submission:
#!/usr/bin/env python3
N, K = map(int, input().split())
a = list(map(int, input().split()))

pl = [(x if (x > 0) else 0) for x in a]
s = sum(pl)
sk_a = [sum(a[:K])]
sk_pl = [sum(pl[:K])]
for i in range(1, N - K + 1):
    sk_a.append(sk_a[-1] - a[i - 1] + a[K + i - 1])
    sk_pl.append(sk_pl[-1] - pl[i - 1] + pl[K + i - 1])

ans = 0
if lambda x: x > 0 in a:
    for i in range(N - K + 1):
        ans = max(ans, s - sk_pl[i] + max(0, sk_a[i]))

print(ans)
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
from unionfind import unionfind
N, M = map(int, input().split())
u = unionfind(N + M)
for i in range(N):
    L = [int(x) - 1 for x in input().split()]
    L[0] += 1
    for j in range(L[0]):
        u.unite(L[j + 1], M + i)

ans = True
for i in range(N):
    if not u.issame(M, M + i):
        ans = False
print(('NO', 'YES')[ans])


Fixed submission:
#!/usr/bin/env python3
class UnionFind():
    def __init__(self, size):
        self.table = [-1] * size

    def find(self, x):
        if self.table[x] < 0:
            return x
        else:
            self.table[x] = self.find(self.table[x])
            return self.table[x]

    def union(self, x, y):
        s1 = self.find(x)
        s2 = self.find(y)
        if s1 != s2:
            if self.table[s2] < self.table[s1]: s1, s2 = s2, s1
            self.table[s1] += self.table[s2]
            self.table[s2] = s1
        return s1 != s2


N, M = map(int, input().split())
uf = UnionFind(N + M)
for i in range(N):
    L = [int(x) - 1 for x in input().split()]
    L[0] += 1
    for j in range(L[0]):
        uf.union(L[j + 1], M + i)

ans = True
for i in range(N):
    if uf.find(M + i) != uf.find(M):
        ans = False
print(('NO', 'YES')[ans])

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
N = int(input())

sum = 0
m = 0
for i in range(1, 10**3 + 1):
    sum += i
    if sum >= N:
        m = i
        break

sum = N
for i in range(1, m + 1)[::-1]:
    if sum - i >= 0:
        sum -= i
        print(i)


Fixed submission:
#!/usr/bin/env python3
class UnionFind():
    def __init__(self, size):
        self.table = [-1] * size

    def find(self, x):
        if self.table[x] < 0:
            return x
        else:
            self.table[x] = self.find(self.table[x])
            return self.table[x]

    def union(self, x, y):
        s1 = self.find(x)
        s2 = self.find(y)
        if s1 != s2:
            if self.table[s2] < self.table[s1]: s1, s2 = s2, s1
            self.table[s1] += self.table[s2]
            self.table[s2] = s1
        return s1 != s2


N, M = map(int, input().split())
uf = UnionFind(N + M)
for i in range(N):
    L = [int(x) - 1 for x in input().split()]
    L[0] += 1
    for j in range(L[0]):
        uf.union(L[j + 1], M + i)

ans = True
for i in range(N):
    if uf.find(M + i) != uf.find(M):
        ans = False
print(('NO', 'YES')[ans])
Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3

N, T = map(int, input().split())
A = list(map(int, input().split()))

d = -1
cnt, ans = 0, 1
for i in range(N - 1):
    l = A[i]
    r = max(A[i + 1:])
    if l <= r:
        if r - l == d:
            cnt += 1
            ans = max(ans, cnt)
        else:
            cnt = 1
            d = max(d, r - l)

print(ans)


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

N, T = map(int, input().split())
A = list(map(int, input().split()))

d = 0
ans = 1
l = A[0]
for a in A[1:]:
    l = min(l, a)
    r = a
    if r - l == d:
        ans += 1
    elif r - l > d:
        ans = 1
        d = r - l

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
N, x = map(int, input().split())
if 1 < x < 2 * N - 1:
    print('Yes')
    l = list(range(1, 2 * N))
    for i in range(2 * N - 1):
        order = (1, -1)[x > N]
        print(l[::order][i - abs(x - N)])
else:
    print('No')


Fixed submission:
#!/usr/bin/env python3
N, x = map(int, input().split())
if 1 < x < 2 * N - 1:
    print('Yes')
    order = (1, -1)[x > N]
    l = list(range(1, 2 * N)[::order])
    for i in range(2 * N - 1):
        print(l[i - abs(x - N)])
else:
    print('No')

Buggy python submission (verdict: Time Limit Exceeded):
#!/usr/bin/env python3
N, x = map(int, input().split())
if 1 < x < 2 * N - 1:
    print('Yes')
    for i in range(2 * N - 1):
        order = (1, -1)[x > N]
        print(list(range(1, 2 * N)[::order])[i - abs(x - N)])
else:
    print('No')


Fixed submission:
#!/usr/bin/env python3
N, x = map(int, input().split())
if 1 < x < 2 * N - 1:
    print('Yes')
    order = (1, -1)[x > N]
    l = list(range(1, 2 * N)[::order])
    for i in range(2 * N - 1):
        print(l[i - abs(x - N)])
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
N = int(input())
a = list(map(int, input().split()))

print(sum([a[a[i] - 1] - 1 == i for i in range(N)]) // 2)


Fixed submission:
#!/usr/bin/env python3
s = input()
print(s[:4], s[4:])
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
import math

def f(b, n):
    return n if (n < b) else f(b, n // b) + n % b

n = int(input())
s = int(input())

ans = -1
if n == s:
    ans = n + 1
else:
    for b in range(2, math.floor(n ** 0.5) + 1):
        if f(b, n) == s:
            ans = b
            break
    else:
        for p in range(1, math.ceil(n ** 0.5))[::-1]:
            b = (n - s) // p + 1
            if b != int(b):
                continue
            if f(b, n) == s:
                ans = b
                break
print(ans)


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

def f(b, n):
    return n if (n < b) else f(b, n // b) + n % b

n = int(input())
s = int(input())

ans = -1
if n == s:
    ans = n + 1
else:
    for b in range(2, math.floor(n ** 0.5) + 1):
        if f(b, n) == s:
            ans = b
            break
    else:
        for p in range(1, math.ceil(n ** 0.5)):
            if (n - s) % p != 0:
                continue
            b = (n - s) // p + 1
            if math.floor(n ** 0.5) < b <= n and f(b, n) == s:
                ans = b
print(ans)

Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3

def f(b, n):
    return n if (n < b) else f(b, n // b) + n % b

n = int(input())
s = int(input())

sqrt_n = int(n ** 0.5)
ans = -1
if n == s:
    ans = n + 1
else:
    for b in range(2, sqrt_n + 1):
        if f(b, n) == s:
            ans = b
            break
    else:
        for p in range(1, sqrt_n):
            if (n - s) % p != 0:
                continue
            b = (n - s) // p + 1
            if f(b, n) == s:
                ans = b
                break
print(ans)


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

def f(b, n):
    return n if (n < b) else f(b, n // b) + n % b

n = int(input())
s = int(input())

ans = -1
if n == s:
    ans = n + 1
else:
    for b in range(2, math.floor(n ** 0.5) + 1):
        if f(b, n) == s:
            ans = b
            break
    else:
        for p in range(1, math.ceil(n ** 0.5)):
            if (n - s) % p != 0:
                continue
            b = (n - s) // p + 1
            if math.floor(n ** 0.5) < b <= n and f(b, n) == s:
                ans = b
print(ans)
Buggy python submission (verdict: Runtime Error):
N = input().split()
list = []

for i in range(1,int(N[0]),1):
    list.append(input())

list.sort(reverse = False)

ans = ""
for i in range(1,N+1,1):
    ans = ans + list[0]
    list.pop(0)

print(ans)


Fixed submission:
N = input().split()
list = []

N = int(N[0])
for i in range(1,N+1,1):
    list.append(input())

list.sort(reverse = False)

ans = ""
for i in range(1,N+1,1):
    ans = ans + list[0]
    list.pop(0)

print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())
L_num = int(input())
list = []

for i in range(1,N+1,1):
    list.append(input())

list.sort(reverse = False)

ans = ""
for i in range(1,N+1,1):
    ans = ans + list[0]
    list.pop(0)

print(ans)


Fixed submission:
N = input().split()
list = []

N = int(N[0])
for i in range(1,N+1,1):
    list.append(input())

list.sort(reverse = False)

ans = ""
for i in range(1,N+1,1):
    ans = ans + list[0]
    list.pop(0)

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

def dfs(v, p):
    for u in adj[v]:
        if u != p:
            depth[u] = depth[v] + 1
            dfs(u, v)

depth = [0] * N
dfs(0, -1)

i = depth.index(max(depth))

depth = [0] * N

dfs(i, -1)

print('Second' if max(depth) % 3 == 1 else 'First')


Fixed submission:
N = int(input())
adj = [[] for i in range(N)]
for i in range(N-1):
    a, b = map(int, input().split())
    adj[a-1].append(b-1)
    adj[b-1].append(a-1)

def bfs(i):
    global depth
    depth = [0] * N
    s = [i]
    depth[i] = 1
    while s:
        v = s.pop()
        for u in adj[v]:
            if not depth[u]:
                depth[u] = depth[v] + 1
                s.append(u)

bfs(0)
i = depth.index(max(depth))
bfs(i)

print('Second' if max(depth) % 3 == 2 else 'First')
Buggy python submission (verdict: Runtime Error):
import ast

def pattern(li, el, space, acc, xs):
  if len(li) != 1:
    acc.append(el)
    acc.append(space)
    al = li.pop(0)
    pattern(list(li), al, '+', list(acc), xs)
    pattern(list(li), al, '', list(acc), xs)
  else:
    acc.append(el)
    acc.append(space)
    al = li.pop(0)
    acc.append(al)
    xs.append(ast.literal_eval(''.join(acc)))

li = list(input())
el = li.pop(0)
xs = []

pattern(list(li), el, '+', [], xs)
pattern(list(li), el, '', [], xs)

print(sum(xs))

Fixed submission:
import ast

def pattern(li, el, space, acc, xs):
  if len(li) != 1:
    acc.append(el)
    acc.append(space)
    al = li.pop(0)
    pattern(list(li), al, '+', list(acc), xs)
    pattern(list(li), al, '', list(acc), xs)
  else:
    acc.append(el)
    acc.append(space)
    al = li.pop(0)
    acc.append(al)
    xs.append(ast.literal_eval(''.join(acc)))

li = list(input())
el = li.pop(0)
xs = []

if len(li) != 0:
  pattern(list(li), el, '+', [], xs)
  pattern(list(li), el, '', [], xs)

if len(li) != 0:
  print(sum(xs))
else:
  print(int(el))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

for i in range(1, n + 1):
    ans = 0
    for x in range(1, n + 1):
        if x**2 + x >= i:
            continue
        for y in range(1, n + 1):
            if x**2 + y**2 + x * y >= i:
                continue
            for z in range(1, n + 1):
                if z**2 >= i:
                    continue

                if x**2 + y**2 + z**2 + x * y + y * z + z * x == i:
                    ans += 1

    print(ans)


Fixed submission:
n = int(input())

ans = [0] * (n + 1)
for x in range(1, n + 1):
    if x**2 + x >= n:
        break
    for y in range(1, n + 1):
        if x**2 + y**2 + x * y + x + y >= n:
            break
        for z in range(1, n + 1):
            w = x**2 + y**2 + z**2 + x * y + y * z + z * x
            if w > n:
                break
            else:
                ans[w] += 1

for i in range(1, n + 1):
    print(ans[i])
Buggy python submission (verdict: Runtime Error):
n = int(input())
x = input()

x_cnt = x.count('1')
yp = 0
ym = 0
for i in range(n):
    yp *= 2
    yp += int(x[i])
    yp %= x_cnt + 1

    ym *= 2
    ym += int(x[i])
    ym %= x_cnt - 1


def count(z):
    cnt = 0
    while z:
        z = z % bin(z).count('1')
        cnt += 1
    return cnt


# print(x, x_cnt, yp, ym)

ans = [0] * n
bp = bm = 1
for i in reversed(range(n)):
    if x[i] == '0':
        z = (yp + bp) % (x_cnt + 1)
    else:
        z = (ym - bm + x_cnt - 1) % (x_cnt - 1)
    ans[i] = 1 + count(z)
    # print(i, z, ans[i])
    bp *= 2
    bp %= x_cnt + 1
    bm *= 2
    bm %= x_cnt - 1

print(*ans, sep='\n')


Fixed submission:
n = int(input())
x = input()

x_cnt = x.count('1')
yp = 0
ym = 0
for i in range(n):
    yp *= 2
    yp += int(x[i])
    yp %= x_cnt + 1

    if x_cnt != 1:
        ym *= 2
        ym += int(x[i])
        ym %= x_cnt - 1


def count(z):
    cnt = 0
    while z:
        z = z % bin(z).count('1')
        cnt += 1
    return cnt


# print(x, x_cnt, yp, ym)

ans = [0] * n
bp = bm = 1
for i in reversed(range(n)):
    if x[i] == '0':
        z = (yp + bp) % (x_cnt + 1)
        ans[i] = 1 + count(z)
    else:
        if x_cnt == 1:
            ans[i] = 0
        else:
            z = (ym - bm + x_cnt - 1) % (x_cnt - 1)
            ans[i] = 1 + count(z)
    # print(i, z, ans[i])
    bp *= 2
    bp %= x_cnt + 1
    if x_cnt != 1:
        bm *= 2
        bm %= x_cnt - 1

print(*ans, sep='\n')
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

ans = 0

for i in range(1, n + 1):
    for j in range(i, n + 1, i):
        ans += j

print(ans)


Fixed submission:
n = int(input())

ans = n * (n + 1) // 2

is_prime = [True] * (n + 1)
is_prime[0] = is_prime[1] = False
for i in range(2, n + 1):
    ans += i
    for j in range(2, n // i + 1):
        is_prime[i * j] = False
        ans += i * j

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

ans = 0
for i in range(n):
    cnt = 0
    if i > 0 and a[i] == a[i - 1]:
        continue
    for j in range(i):
        if a[j] > a[i] // 2:
            break
        if a[i] % a[j] == 0:
            cnt += 1
            break
    if cnt == 0:
        if i != 0:
            # print(i, a[i])
            ans += 1
        elif a[0] != a[1]:
            # i == 0
            ans += 1

print(ans)


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

cnt = [0] * (a[-1] + 1)
for i in range(n):
    cnt[a[i]] += 1

ans = 0
for i in range(1, a[-1] + 1):
    if cnt[i] > 0:
        if cnt[i] == 1:
            ans += 1
        for j in range(2, a[-1] + 1):
            na = i * j
            if na <= a[-1]:
                cnt[na] = 0
            else:
                break

print(ans)