Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())

def prime_decomposition(n):
    # 素因数分解
    if n < 2:
        return []
    prime_factors = []
    while n % 2 == 0:
        prime_factors.append(2)
        n >>= 1

    while n % 3 == 0:
        prime_factors.append(3)
        n //= 3

    a = 5
    b = 7
    while a ** 2 <= n:
        if n % a == 0:
            prime_factors.append(a)
            n //= a
        elif n % b == 0:
            prime_factors.append(b)
            n //= b
        else:
            a += 6
            b += 6
    if n > 1:
        prime_factors.append(n)
    return prime_factors

pfs = prime_decomposition(n)
pfs.reverse()

def ds(n):

    ret = 1
    while 10**ret <= n:
        ret += 1
    return ret

ln = len(pfs)
size = 2**ln

min_v = 100
for i in range(size):
    p = 1
    for j in range(ln):
        if 1<<j & i:
            p *= pfs[j]
    min_v = min(min_v, max(ds(p), ds(n//p)))
print(min_v)

Fixed submission:
n = int(input())

def prime_decomposition(n):
    # 素因数分解
    if n < 2:
        return []
    prime_factors = []
    while n % 2 == 0:
        prime_factors.append(2)
        n >>= 1

    while n % 3 == 0:
        prime_factors.append(3)
        n //= 3

    a = 5
    b = 7
    while a ** 2 <= n:
        if n % a == 0:
            prime_factors.append(a)
            n //= a
        elif n % b == 0:
            prime_factors.append(b)
            n //= b
        else:
            a += 6
            b += 6
    if n > 1:
        prime_factors.append(n)
    return prime_factors

pfs = prime_decomposition(n)
pfs.reverse()

def ds(n):

    ret = 1
    while 10**ret <= n:
        ret += 1
    return ret

ln = len(pfs)
size = 2**ln

min_v = 100
for i in range(size):
    p = 1
    for j in range(ln):
        if 1<<j & i:
            p *= pfs[j]
    min_v = min(min_v, max(ds(p), ds(n//p)))
print(min_v)
Buggy python submission (verdict: Time Limit Exceeded):
n,k = map(int, input().split())
a = list(map(int, input().split()))
a.sort()

small = 0
while small < n and a[small] < k:
    small += 1
n = small


cnt = 0
for c in range(n):
    able = [False for i in range(k)]
    able[0] = True
    for i in range(n):
        if c==i:
            continue
        for j in range(k-a[i]-1, -1, -1):
            if able[j]:
                able[j+a[i]] = True
    if not any(able[k-a[c]:k]):
        cnt += 1

print(cnt)



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

small = 0
while small < n and a[small] < k:
    small += 1
n = small


cnt = 0
able = [False for i in range(k)]
able[0] = True
min_need = n
max_able = 0
i = n-1
while i >= 0:
    if max_able + a[i] >= k:
        min_need = i
        for j in range(min_need):
            if max_able + a[j] >= k:
                min_need = i
                break
    for j in range(min(max_able, k-a[i]-1), -1, -1):
        if able[j]:
            able[j+a[i]] = True
            max_able = max(j+a[i], max_able)
    i -= 1
print(min_need)

Buggy python submission (verdict: Time Limit Exceeded):
n,k = map(int, input().split())
a = list(map(int, input().split()))
a.sort()

small = 0
while small < n and a[small] < k:
    small += 1
n = small


cnt = 0
for c in range(n):
    able = [False for i in range(k)]
    able[0] = True
    for i in range(n):
        if c==i:
            continue
        for j in range(k-a[i]-1, -1, -1):
            if able[j]:
                able[j+a[i]] = True
    if not any(able[k-a[c]:k]):
        cnt += 1

print(cnt)



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

small = 0
while small < n and a[small] < k:
    small += 1
n = small


cnt = 0
able = [False for i in range(k)]
able[0] = True
min_need = n
max_able = 0
i = n-1
while i >= 0:
    if max_able + a[i] >= k:
        min_need = i
        for j in range(min_need):
            if max_able + a[j] >= k:
                min_need = i
                break
    for j in range(min(max_able, k-a[i]-1), -1, -1):
        if able[j]:
            able[j+a[i]] = True
            max_able = max(j+a[i], max_able)
    i -= 1
print(min_need)
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map, input().split())
suma = sum(a)
if sum(a) % (n*(n+1)//2) > 0:
  print('NO')
  exit()
k = 2*suma//(n*(n+1))
diffs = [a[i+1] - a[i] + k for i in range(n-1)]
if all([d % n == 0 for d in diffs]):
  print('YES')
else:
  print('NO')


Fixed submission:
n = int(input())
a = list(map(int, input().split()))
if n == 1:
    print('YES')
    exit()
suma = sum(a)
if sum(a) % (n*(n+1)//2) > 0:
    print('NO')
    exit()
k = 2*suma//(n*(n+1))
diffs = [a[i+1] - a[i] - k for i in range(-1, n-1)]
if all([d<=0 and -d % n == 0 for d in diffs]):
    print('YES')
else:
    print('NO')
Buggy python submission (verdict: Runtime Error):
x = int(input()
print('ARC' if x >= 1200 else 'ABC')


Fixed submission:
x = int(input())
if x < 1200:
    print('ABC')
else:
    print('ARC')

Buggy python submission (verdict: Runtime Error):
x = map(int, input().split())
print('ARC' if x >= 1200 else 'ABC')


Fixed submission:
x = int(input())
if x < 1200:
    print('ABC')
else:
    print('ARC')
Buggy python submission (verdict: Time Limit Exceeded):
class UnionFind:

    def __init__(self, size):
        # 負の値はルート (集合の代表) で集合の個数
        # 正の値は次の要素を表す
        self.size = size
        self.table = [-1 for _ in range(size)]

    def find(self, x):
        # 集合の代表を求める
        children = []
        while self.table[x] >= 0:
            children.append(x)
            x = self.table[x]
        for c in children:
            self.table[c] = x
        return x

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

n,k,l= map(int, input().split())
road = UnionFind(n+1)
train = UnionFind(n+1)

for i in range(k):
    p,q = map(int, input().split())
    road.union(p, q)
for i in range(l):
    p,q = map(int, input().split())
    train.union(p,q)
con = [1 for i in range(n)]
for i in range(1,n):
    for j in range(i+1, n+1):
        if road.find(i) == road.find(j) and train.find(i) == train.find(j):
            con[i-1] += 1
            con[j-1] += 1
print(*con, sep=' ')


Fixed submission:
class UnionFind:
 
    def __init__(self, size):
        # 負の値はルート (集合の代表) で集合の個数
        # 正の値は次の要素を表す
        self.size = size
        self.table = [-1 for _ in range(size)]
 
    def find(self, x):
        # 集合の代表を求める
        children = []
        while self.table[x] >= 0:
            children.append(x)
            x = self.table[x]
        for c in children:
            self.table[c] = x
        return x
 
    def union(self, x, y):
        # 併合
        s1 = self.find(x)
        s2 = self.find(y)
        if s1 != s2:
            if self.table[s1] >= self.table[s2]:
                self.table[s1] += self.table[s2]
                self.table[s2] = s1
            else:
                self.table[s2] += self.table[s1]
                self.table[s1] = s2
        return self.table[s1]
 
n,k,l= map(int, input().split())
road = UnionFind(n+1)
train = UnionFind(n+1)
for i in range(k):
    p,q = map(int, input().split())
    road.union(p, q)
for i in range(l):
    p,q = map(int, input().split())
    train.union(p,q)
import collections
d = collections.defaultdict(int)
for i in range(1,n+1):
    r = road.find(i)
    t = train.find(i)
    d[(r,t)] += 1
res = [d[(road.find(i), train.find(i))] for i in range(1,n+1)]

print(*res, sep=' ')
Buggy python submission (verdict: Runtime Error):
xs,ys,xt,yt = map(int, input().split())
n = int(input())
c = [(xs,ys, 0),(xt,yt,0)]
for i in range(n):
    x,y,r = map(int, input().split())
    c.append((x,y,r))

def circle_circle(ax,ay,ar,bx,by,br):
    d =((ax-bx)**2 + (ay-by)**2)**0.5
    return max(0, d-(ar+br))

def dijkstra(V, edges, root):
    import heapq

    visited = [False] * V
    nodes = [[] for i in range(V)]
    cost = [[] for i in range(V)]

    for e in edges:
        s, t, d = e
        nodes[s].append(t)
        cost[s].append(d)

    dist = [float('inf')] * V
    dist[root] = 0

    h = [(0, root)]
    while h:
        c, v = heapq.heappop(h)
        if visited[v]:
            continue
        visited[v] = True
        for i in range(n+1):
            t = nodes[v][i]
            nc = c + cost[v][i]
            if dist[t] > nc:
                dist[t] = nc
                heapq.heappush(h, (nc, t))
    return dist
edges = []
for i in range(n+1):
    for j in range(i+1, n+2):
        d = circle_circle(c[i][0],c[i][1],c[i][2],c[j][0],c[j][1],c[j][2])
        edges.append((i,j,d))
        edges.append((j,i,d))
dij = dijkstra(n+2, edges, 0)
print(dij[1])


Fixed submission:
n,x = map(int, input().split())
a = list(map(int, input().split()))
b = a[::-1]

def solve(a):
    total = 0
    if a[0] > x:
        total += a[0]-x
        a[0] = x

    for i in range(1, n):
        if a[i-1] + a[i] > x:
            d = (a[i-1] + a[i]) - x
            total += d
            a[i] = max(0, a[i] - d)
    return total

print(min(solve(a), solve(b)))

Buggy python submission (verdict: Runtime Error):
xs,ys,xt,yt = map(int, input().split())
n = int(input())
c = [(xs,ys, 0),(xt,yt,0)]
for i in range(n):
    x,y,r = map(int, input().split())
    c.append((x,y,r))

def circle_circle(ax,ay,ar,bx,by,br):
    d =((ax-bx)**2 + (ay-by)**2)**0.5
    return max(0, d-(ar+br))

def dijkstra(V, edges, root):
    import heapq

    visited = [False] * V
    nodes = [[] for i in range(V)]
    cost = [[] for i in range(V)]

    for e in edges:
        s, t, d = e
        nodes[s].append(t)
        cost[s].append(d)

    dist = [float('inf')] * V
    dist[root] = 0

    h = [(0, root)]
    while h:
        c, v = heapq.heappop(h)
        if visited[v]:
            continue
        visited[v] = True
        for i in range(len(nodes[v])):
            t = nodes[v][i]
            nc = c + cost[v][i]
            if dist[t] > nc:
                dist[t] = nc
                heapq.heappush(h, (nc, t))
    return dist
edges = []
for i in range(n+1):
    for j in range(i+1, n+2):
        d = circle_circle(c[i][0],c[i][1],c[i][2],c[j][0],c[j][1],c[j][2])
        edges.append((i,j,d))
        edges.append((j,i,d))
dij = dijkstra(n+2, edges, 0)
print(dij[1])


Fixed submission:
n,x = map(int, input().split())
a = list(map(int, input().split()))
b = a[::-1]

def solve(a):
    total = 0
    if a[0] > x:
        total += a[0]-x
        a[0] = x

    for i in range(1, n):
        if a[i-1] + a[i] > x:
            d = (a[i-1] + a[i]) - x
            total += d
            a[i] = max(0, a[i] - d)
    return total

print(min(solve(a), solve(b)))
Buggy python submission (verdict: Runtime Error):
w, h, n = map(int, input().split())

x_min = 0
x_max = w
y_min = 0
y_max = h

for i in range(n):
    x, y, a = map(int, input().split())
    if a == 1:
        x_min = min(x, x_min)
    elif a == 2:
        x_max = max(x, max_x)
    elif a == 3:
        y_min = min(y, y_min)
    else:
        y_max = max(y, max_y)
print(max(y_max - y_min, 0) * max(x_max - x_min, 0))


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

x_min = 0
x_max = w
y_min = 0
y_max = h

for i in range(n):
    x, y, a = map(int, input().split())
    if a == 1:
        x_min = max(x, x_min)
    elif a == 2:
        x_max = min(x, x_max)
    elif a == 3:
        y_min = max(y, y_min)
    else:
        y_max = min(y, y_max)
print(max(y_max - y_min, 0) * max(x_max - x_min, 0))
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int, input().split()))
cnt = 0
for i in range(a):
    if a[a[i]-1] -1 == i:
        cnt +=1
print(cnt // 2)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
cnt = 0
for i in range(n):
    if a[a[i]-1] -1 == i:
        cnt +=1
print(cnt // 2)

Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int, input().split()))
cnt = 0
for i in range(a):
    if a[a[i]] -1 == i:
        cnt +=1
print(cnt // 2)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
cnt = 0
for i in range(n):
    if a[a[i]-1] -1 == i:
        cnt +=1
print(cnt // 2)
Buggy python submission (verdict: Runtime Error):
s =input()
ary = []
for c in s:
    if c == 'B':
        if len(ary) > 0:
            ary.pop()
    else:
        ary.append(c)
print(''join(ary))

Fixed submission:
s =input()
ary = []
for c in s:
    if c == 'B':
        if len(ary) > 0:
            ary.pop()
    else:
        ary.append(c)
print(''.join(ary))
Buggy python submission (verdict: Runtime Error):
import sys, math
input = sys.stdin.readline

S = list(input().replace('\n',''))
S = map(int, S)
prev = S[0]
ans = 0
for i in range(1, len(S)-1):
  cur = S[i]
  if prev ^ cur == 0:
    ans += 1
    prev = 2 + ~cur
  else:
    prev = cur

print(ans)

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

S = list(input().replace('\n',''))
S = list(map(int, S))
prev = S[0]
ans = 0
for i in range(1, len(S)):
  cur = S[i]
  if prev ^ cur == 0:
    ans += 1
#     if i == 1:
#       if cur ^ S[i+1] == 1:
#         prev = cur
#       else:
#         prev = 2 + ~cur
#     else:
    prev = 2 + ~cur
  else:
    prev = cur

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys, math, copy
input = sys.stdin.readline

N, K = map(int, input().split())
S = list(input().replace('\n',''))
S = list(map(int, S))

max_ans = 0
cursol = 0
for i in range(N):
    cursol = i
    while cursol < N and S[cursol] == 1:
        cursol += 1
    for k in range(K):
        if cursol >= N:
            break
        l = cursol
        r = cursol
        while r < N and S[r] == 0:
            r += 1
        # print(i, k, l, r)
        cursol += (r - l)
        while cursol < N and S[cursol] == 1:
            cursol += 1
    ans = cursol - i
    max_ans = ans if ans > max_ans else max_ans

print(max_ans)

Fixed submission:
import sys, math, copy
input = sys.stdin.readline

N, K = map(int, input().split())
S = list(input().replace('\n',''))
S = list(map(int, S))

group = [0]

for i in range(1,N):
    if S[i-1] != S[i]:
        group.append(i)

ans = 0
for i in range(len(group)):
    start = group[i]
    if(S[start] == 1):
        end_group_id = i + 2 * K + 1
    else:
        end_group_id = i + 2 * K
    if end_group_id < len(group):
        end = group[end_group_id]
    else:
        end = len(S)
    ans = max(ans, end - start)

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
S = input().split()
N = int(S[0])
M = int(S[1])
A = list(map(int, input().split()))
B = list(map(int, input().split()))

A_MAX = max(A)
B_MAX = max(B)
MAX = A_MAX if (A_MAX > B_MAX) else B_MAX

mod = int(1e9 + 7)

A_F_cnt = 0
B_F_cnt = 0

result = 1

for i in range(MAX, 0, -1):
    in_A = (i in A)
    in_B = (i in B)
    if (in_A and in_B):
        A_F_cnt += 1
        B_F_cnt += 1
    elif (in_A):
        result *= B_F_cnt
        A_F_cnt += 1 
    elif (in_B):
        result *= A_F_cnt
        B_F_cnt += 1
    else:
        coef = ((A_F_cnt * B_F_cnt) % mod ) - (N*M - i)
        if coef < 0:
            coef += mod
        result *= coef
    
print(int(result % mod))

Fixed submission:
S = input().split()
N = int(S[0])
M = int(S[1])
A = list(map(int, input().split()))
B = list(map(int, input().split()))

A_MAX = max(A)
B_MAX = max(B)
MAX = A_MAX if (A_MAX > B_MAX) else B_MAX

mod = int(1e9 + 7)

A_F_cnt = 0
B_F_cnt = 0

sA = set(A)
sB = set(B)

result = 1

for i in range(MAX, 0, -1):
    in_A = (i in sA)
    in_B = (i in sB)
    if (in_A and in_B):
        A_F_cnt += 1
        B_F_cnt += 1
    elif (in_A):
        result *= B_F_cnt
        result %= mod
        A_F_cnt += 1 
    elif (in_B):
        result *= A_F_cnt
        result %= mod
        B_F_cnt += 1
    else:
        coef = ((A_F_cnt * B_F_cnt) % mod ) - (N*M - i)
        if coef < 0:
            coef += mod
        result *= coef
        result %= mod
    
    # print(in_A, in_B, A_F_cnt, B_F_cnt, result)

print(int(result % mod))
Buggy python submission (verdict: Runtime Error):
import sys, math, itertools
input = sys.stdin.readline

def combinations_count(n, r):
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))


N = int(input())
S = set([input() for _ in range(N)])

m_set = len({cand for cand in S if ((cand[0] == 'M')) })
a_set = len({cand for cand in S if ((cand[0] == 'A')) })
r_set = len({cand for cand in S if ((cand[0] == 'R')) })
c_set = len({cand for cand in S if ((cand[0] == 'C')) })
h_set = len({cand for cand in S if ((cand[0] == 'H')) })
set_elements_num = [m_set,a_set,r_set,c_set,h_set]
set_elements_num.remove(0)

# print(set_elements_num)
comb = 0
for i, elements_num in enumerate(set_elements_num):
    last_elements = set_elements_num[i+1:]
    # print(last_elements)
    last_elements_comb = list(itertools.combinations(last_elements,2))
    for elements in last_elements_comb:
        local_comb = elements_num
        for x in elements:
            local_comb *= x
        comb += local_comb

print(comb)

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


N = int(input())
S = set([input() for _ in range(N)])

m = len([cand for cand in S if ((cand[0] == 'M')) ])
a = len([cand for cand in S if ((cand[0] == 'A')) ])
r = len([cand for cand in S if ((cand[0] == 'R')) ])
c = len([cand for cand in S if ((cand[0] == 'C')) ])
h = len([cand for cand in S if ((cand[0] == 'H')) ])

# print(set_elements_num)

comb = m*a*r + m*a*c + m*a*h
comb += m*r*c + m*r*h + m*c*h
comb += a*r*c + a*r*h + a*c*h
comb += r*c*h

print(comb)
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

N = int(input())
P = list(map(int, input().split()))
cnt = 0
for i, p in enumerate(P):
    num = i + 1
    if num != p:
        continue
    else:
        next = P[i+1]
        tmp = P[i]
        P[i] = P[i+1]
        P[i+1] = tmp
        cnt += 1
print(cnt)


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

N = int(input())
P = list(map(int, input().split()))
cnt = 0
for i, p in enumerate(P):
    num = i + 1
    if num != p:
        continue
    else:
        if(i+1 < N):
            next = P[i+1]
            tmp = P[i]
            P[i] = P[i+1]
            P[i+1] = tmp
            cnt += 1
        else:
            cnt += 1
print(cnt)
Buggy python submission (verdict: Runtime Error):
print(1 if int(input().split()[2])==1 else 0)

Fixed submission:
input()
print(1 if int(input().split()[1])==1 else 0)
Buggy python submission (verdict: Runtime Error):
import itertools

N, M, Q = [int(i) for i in input().split()]
pos_A = sorted([i for i in range(1, M+1)] * N)
comb_A = list(itertools.combinations(pos_A, N))

for i in range(Q):
    a, b, c, d  = [int(i) for i in input().split()]
    for j, k in enumerate(comb_A):
        if k[b-1] - k[a-1] == c:
            score[j] += d
print(max(score))


Fixed submission:
import itertools

N, M, Q = [int(i) for i in input().split()]
ABCD = [list(map(int, input().split())) for i in range(Q)]
score = 0
for A in itertools.combinations_with_replacement(range(1, M+1), N):
    tmp = 0
    for a, b, c, d in ABCD:
        if A[b-1] - A[a-1] == c:
            tmp += d
    score = max(score, tmp)
print(score)

Buggy python submission (verdict: Time Limit Exceeded):
import itertools

N, M, Q = [int(i) for i in input().split()]
pos_A = sorted([i for i in range(1, M+1)] * N)
comb_A = list(itertools.combinations(pos_A, N))
score = [0 for _ in comb_A]
for i in range(Q):
    a, b, c, d  = [int(i) for i in input().split()]
    for j, k in enumerate(comb_A):
        if k[b-1] - k[a-1] == c:
            score[j] += d
print(max(score))


Fixed submission:
import itertools

N, M, Q = [int(i) for i in input().split()]
ABCD = [list(map(int, input().split())) for i in range(Q)]
score = 0
for A in itertools.combinations_with_replacement(range(1, M+1), N):
    tmp = 0
    for a, b, c, d in ABCD:
        if A[b-1] - A[a-1] == c:
            tmp += d
    score = max(score, tmp)
print(score)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = list(map(int, input().split()))
print(1 + sum([int(P[i] <= min(P[:i])) for i in range(1, N)]))


Fixed submission:
N = int(input())
P = list(map(int, input().split()))
Q = []
m = 10**17
for p in P:
    m = min(m, p)
    Q.append(m)
c = 0
for x, y in zip(P, Q):
    if x <= y:
        c += 1
print(c)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
r = 1
for i in range(1, N+1):
    r *= i
print(r%((10**9)+7))


Fixed submission:
import math
r = math.factorial(int(input()))
print(r%((10**9)+7))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
r = 1
for i in range(1, N+1):
    r *= i
print(r%((10**9)+7))


Fixed submission:
import math
r = math.factorial(int(input()))
print(r%((10**9)+7))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))

ans = 1
for i in range(n):
    ans = ans * a[i]

if ans > 1e18:
    print(-1)
else:
    print(ans)

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

for i in range(n):
    if(a[i] == 0):
        print(0)
        exit()

ans = 1
for i in range(n):
    ans = ans * a[i]
    if(ans > 1e18):
        print(-1)
        exit()

print(ans)

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

ans = 1
for i in range(n):
    ans = ans * a[i]

if ans > 1e18:
    print(-1)
else:
    print(ans)

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

for i in range(n):
    if(a[i] == 0):
        print(0)
        exit()

ans = 1
for i in range(n):
    ans = ans * a[i]
    if(ans > 1e18):
        print(-1)
        exit()

print(ans)
Buggy python submission (verdict: Runtime Error):
a,b,c = map(int,input().split())
d = int(input())
count = 0
while True:
    if a < b:
        if b < c:
            break
        else:
            c *= 2
            count += 1
    else:
        b *= 2
        count += 1
print("Yes" if count <= k else "No")


Fixed submission:
a,b,c = map(int,input().split())
d = int(input())
count = 0
while True:
    if a < b:
        if b < c:
            break
        else:
            c *= 2
            count += 1
    else:
        b *= 2
        count += 1
print("Yes" if count <= d else "No")
Buggy python submission (verdict: Runtime Error):
from collections import Counter
a,b,c = map(int,input().split())
d = ""
e = ("1"*b + "0"*c)*a
f = e[:a]
g = Counter(f)
print(g["1"])


Fixed submission:
a,b,c = map(int,(input().split()))
d = (a//(b+c))*b + min((a%(b+c)),b)
print(d)

Buggy python submission (verdict: Runtime Error):
from collections import Counter
a,b,c = map(int,input().split())
d = ""
e = ("1"*b + "0"*c)*a
f = d[:a]
g = Counter(f)
print(g["1"])


Fixed submission:
a,b,c = map(int,(input().split()))
d = (a//(b+c))*b + min((a%(b+c)),b)
print(d)

Buggy python submission (verdict: Runtime Error):
from collections import Counter
a,b,c = map(int,input().split())
d = ""
for i in range(a):
    e = "1"*b + "0"*c
    d += e
f = d[:a]
g = Counter(f)
print(g["1"])


Fixed submission:
a,b,c = map(int,(input().split()))
d = (a//(b+c))*b + min((a%(b+c)),b)
print(d)
Buggy python submission (verdict: Runtime Error):
a = iint(input())
print(a/2 if a % 2 == 1 else a//2+1)

Fixed submission:
a = int(input())
print((a+1)//2)
Buggy python submission (verdict: Runtime Error):
m = int(input())
n = list(map(int,input().split))
print("YES" if len(set(n)) == m else "NO")

Fixed submission:
m = int(input())
n = list(map(int,input().split()))
print("YES" if len(set(n)) == m else "NO")
Buggy python submission (verdict: Runtime Error):
a,b = map(int,input().split())
lis = list(map(int,input().split))
c = sum(lis)
print("Yes" if a > c else "No")

Fixed submission:
a,b = map(int,input().split())
lis = list(map(int,input().split()))
c = sum(lis)
print("No" if a > c else "Yes")