Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import collections
def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

n = int(input())
if n == 1:
    print(0)
else:
    ans = 0
    c = factorization(n)
    for arr in c:
        m = arr[1]
        i = 1
        for _ in range(m):
            if i > m:
                break
            ans += 1
            m -= i
            i += 1
print(ans)

Fixed submission:
import collections
def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

n = int(input())
if n == 1:
    print(0)
else:
    ans = 0
    c = factorization(n)
    for arr in c:
        m = arr[1]
        i = 1
        for _ in range(m):
            if i > m:
                break
            ans += 1
            m -= i
            i += 1
    print(ans)

Buggy python submission (verdict: Runtime Error):
import collections
n = int(input())
def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a
if n ==1:
    print(0)
else:
    ans = 0
    c = collections.Counter(prime_factorize(n))
    for v in c.values():
        m = v
        i = 1
        for _ in range(1, m+1):
            if i > m:
                break
            ans += 1
            m -= i
            i += 1
print(ans)

Fixed submission:
import collections
def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-n**0.5//1))+1):
        if temp%i==0:
            cnt=0
            while temp%i==0:
                cnt+=1
                temp //= i
            arr.append([i, cnt])

    if temp!=1:
        arr.append([temp, 1])

    if arr==[]:
        arr.append([n, 1])

    return arr

n = int(input())
if n == 1:
    print(0)
else:
    ans = 0
    c = factorization(n)
    for arr in c:
        m = arr[1]
        i = 1
        for _ in range(m):
            if i > m:
                break
            ans += 1
            m -= i
            i += 1
    print(ans)
Buggy python submission (verdict: Runtime Error):
from collections import deque
import numpy as np
n, m = map(int, input().split())
route = np.zeros((n, n), dtype = np.bool)
for _ in range(m):
    a, b = map(int, input().split())
    route[a-1][b-1] = True
    route[b-1][a-1] = True

q = deque()
visited = [0] * n
pre = [-1] * n
q.append(0)
visited[0] = 1
while q:
    # visitした
    v = q.popleft()
    for i in range(n):
        if visited[i] == 1 or route[v][i] == False: continue
        visited[i] = 1
        pre[i] = v
        q.append(i)
print("Yes")
for p in pre[1:]:
    p += 1
    print(p)

Fixed submission:
from collections import deque
n, m = map(int, input().split())
to = [[] for _ in range(n)]
for _ in range(m):
    a, b = map(int, input().split())
    a -= 1; b -= 1
    to[a].append(b)
    to[b].append(a)
q = deque()
visited = [0 for _ in range(n)]
pre = [-1 for _ in range(n)]
q.append(0)
visited[0] = 1
while q:
    # visitした
    v = q.popleft()
    for u in to[v]:
        if visited[u] == 1: continue
        visited[u] = 1
        pre[u] = v
        q.append(u)
print("Yes")
for p in pre[1:]:
    p += 1
    print(p)

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
n, m = map(int, input().split())
route = [[0] * n for _ in range(n)]
for _ in range(m):
    a, b = map(int, input().split())
    route[a-1][b-1] = 1
    route[b-1][a-1] = 1

q = deque()
visited = [0] * n
pre = [-1] * n
q.append(0)
visited[0] = 1
while q:
    # visitした
    v = q.popleft()
    for i in range(n):
        if visited[i] == 1 or route[v][i] == 0: continue
        visited[i] = 1
        pre[i] = v
        q.append(i)
print("Yes")
for p in pre[1:]:
    p += 1
    print(p)

Fixed submission:
from collections import deque
n, m = map(int, input().split())
to = [[] for _ in range(n)]
for _ in range(m):
    a, b = map(int, input().split())
    a -= 1; b -= 1
    to[a].append(b)
    to[b].append(a)
q = deque()
visited = [0 for _ in range(n)]
pre = [-1 for _ in range(n)]
q.append(0)
visited[0] = 1
while q:
    # visitした
    v = q.popleft()
    for u in to[v]:
        if visited[u] == 1: continue
        visited[u] = 1
        pre[u] = v
        q.append(u)
print("Yes")
for p in pre[1:]:
    p += 1
    print(p)
Buggy python submission (verdict: Time Limit Exceeded):
import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

k = int(input())
ans = 0
for a in range(1, k+1):
    for b in range(1, k+1):
        for c in range(1, k+1):
            ans += gcd(a, b, c)
print(ans)

Fixed submission:
import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

comb_count = {1:1, 2:3, 3:6}
k = int(input())
ans = 0
for a in range(1, k+1):
    for b in range(a, k+1):
        for c in range(b, k+1):
            ans += gcd(a, b, c) * comb_count[len(set([a, b, c]))]
print(ans)

Buggy python submission (verdict: Runtime Error):
%%time
import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

k = int(input())
ans = 0
for a in range(1, k+1):
    for b in range(1, k+1):
        for c in range(1, k+1):
            ans += gcd(a, b, c)
print(ans)

Fixed submission:
import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd, numbers)

comb_count = {1:1, 2:3, 3:6}
k = int(input())
ans = 0
for a in range(1, k+1):
    for b in range(a, k+1):
        for c in range(b, k+1):
            ans += gcd(a, b, c) * comb_count[len(set([a, b, c]))]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
n = int(input())
s = np.array(list(input()))
RGB_select = {
    'RG': 'B', 'GR': 'B',
    'GB': 'R', 'BG': 'R',
    'RB': 'G', 'BR': 'G'}
RGB = {
    'R':np.cumsum(s == 'R'),
    'G':np.cumsum(s == 'G'),
    'B':np.cumsum(s == 'B')
}
ans = 0
for i in range(n-2):
    for j in range(i+1, n-1):
        if s[i] == s[j]:
                continue
        color = RGB_select[s[i]+s[j]]
        ans += RGB[color][-1] - RGB[color][j]
        if j + (j - i) < n:
            ans -= s[j + (j-i)] == color
print(ans)

Fixed submission:
n = int(input())
s = input()
ans = s.count('R') * s.count('G') * s.count('B')
for i in range(n-2):
    for j in range(i+1, n-1):
        k = j + (j - i)
        if k < n:
            if s[i] != s[j] and s[j] != s[k] and s[k] != s[i]:
                ans -= 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
# 全部ゼロ始まり
n, x, y = map(int, input().split())
G = [[] for _ in range(n)]
for i in range(n-1):
    G[i].append(i+1)
for i in range(1, n):
    G[i].append(i-1)
x -= 1
y -= 1
G[x].append(y)
G[y].append(x)

# iとjの最短距離を返す
def bfs(i, j):
    i -= 1
    j -= 1
    q = deque()
    seen = [False] * n
    dist = [-1] * n

    q.append(i)
    seen[i] = True
    dist[i] = 0
    while len(q) > 0:
        now_v = q.popleft()
        for new_v in G[now_v]:
            if seen[new_v] is True:
                continue
            q.append(new_v)
            seen[new_v] = True
            dist[new_v] = dist[now_v] + 1
            if new_v == j:
                return dist[j]

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

for ans in cnt:
    print(ans)

Fixed submission:
n, x, y = map(int, input().split())
x -= 1
y -= 1
cnt = [0] * n
for i in range(n-1):
    for j in range(i+1, n):
        direct = j - i
        detour = abs(x-i) + abs(y-j) + 1
        d = min(direct, detour)
        cnt[d] += 1
for k in range(1, n):
    print(cnt[k])

Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
# 全部ゼロ始まり
n, x, y = map(int, input().split())
G = [[] for _ in range(n)]
for i in range(n-1):
    G[i].append(i+1)
for i in range(1, n):
    G[i].append(i-1)
x -= 1
y -= 1
G[x].append(y)
G[y].append(x)

# iとjの最短距離を返す
def bfs(i, j):
    i -= 1
    j -= 1
    q = deque()
    seen = [False] * n
    dist = [-1] * n

    q.append(i)
    seen[i] = True
    dist[i] = 0
    while len(q) > 0:
        now_v = q.popleft()
        for new_v in G[now_v]:
            if seen[new_v] is True:
                continue
            q.append(new_v)
            seen[new_v] = True
            dist[new_v] = dist[now_v] + 1
    return dist[j]

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

for ans in cnt:
    print(ans)

Fixed submission:
n, x, y = map(int, input().split())
x -= 1
y -= 1
cnt = [0] * n
for i in range(n-1):
    for j in range(i+1, n):
        direct = j - i
        detour = abs(x-i) + abs(y-j) + 1
        d = min(direct, detour)
        cnt[d] += 1
for k in range(1, n):
    print(cnt[k])
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
s = deque(list(input()))
q = int(input())
for i in range(q):
    line = list(input().split())
    t = int(line[0])
    if t == 1:
        s.reverse()
    else:
        if int(line[1]) == 1:
            s.appendleft(line[2])
        else:
            s.append(line[2])
print("".join(s))

Fixed submission:
from collections import deque
s = deque(list(input()))
q = int(input())
# -1がnotReverse, 1がReverser
isR = -1
for i in range(q):
    line = list(input().split())
    t = int(line[0])
    if t == 1:
        isR *= -1
    else:
        f = int(line[1])
        if isR + f == 0 or isR + f == 3:
            s.appendleft(line[2])
        else:
            s.append(line[2])
    if i == q-1 and isR == 1:
        s.reverse()
print("".join(s))
Buggy python submission (verdict: Runtime Error):
n, m, k = map(int, input().split())
AB = [list(map(int, input().split())) for _ in range(m)]
CD = [list(map(int, input().split())) for _ in range(k)]
group = []  # 連結成分ごとのサイズ
person_group = [-1] * n  # 人ごとの属するグループ
person_unable= [0] * n  # 人ごとの候補に入らない人の人数
graph = [[] for _ in range(n)]  # 連結リスト
for ab in AB:
    ab[0] -= 1
    ab[1] -= 1
    graph[ab[0]].append(ab[1])
    graph[ab[1]].append(ab[0])

seen = [False] * n
# その節の連結成分のサイズを返す
def dfs(n, group_id):
    global size
    seen[n] = True
    person_group[n] = group_id
    for v in graph[n]:
        if seen[v]:
            continue
        size = dfs(v, group_id)
    size += 1
    return size
    
    
group_id = 0
for i in range(n):
    if seen[i]:
        continue
    size = 0
    group.append(dfs(i, group_id))
    group_id += 1

# unable計算。まず友達の人
for i in range(n):
    person_unable[i] += len(graph[i])
# 次にブロックの人
for i in range(k):
    CD[i][0] -= 1
    CD[i][1] -= 1
    if person_group[CD[i][0]] == person_group[CD[i][1]]:
        person_unable[CD[i][0]] += 1
        person_unable[CD[i][1]] += 1

for i in range(n):
    print(group[person_group[i]] - person_unable[i] - 1, "", end="")

Fixed submission:
import sys
sys.setrecursionlimit(10 ** 6 + 10)

n, m, k = map(int, input().split())
AB = [list(map(int, input().split())) for _ in range(m)]
CD = [list(map(int, input().split())) for _ in range(k)]
group = []  # 連結成分ごとのサイズ
person_group = [-1] * n  # 人ごとの属するグループ
person_unable= [0] * n  # 人ごとの候補に入らない人の人数
graph = [[] for _ in range(n)]  # 連結リスト
for ab in AB:
    ab[0] -= 1
    ab[1] -= 1
    graph[ab[0]].append(ab[1])
    graph[ab[1]].append(ab[0])

seen = [False] * n
# その節の連結成分のサイズを返す
def dfs(n, group_id):
    global size
    seen[n] = True
    person_group[n] = group_id
    for v in graph[n]:
        if seen[v]:
            continue
        size = dfs(v, group_id)
    size += 1
    return size
    
    
group_id = 0
for i in range(n):
    if seen[i]:
        continue
    size = 0
    group.append(dfs(i, group_id))
    group_id += 1

# unable計算。まず友達の人
for i in range(n):
    person_unable[i] += len(graph[i])
# 次にブロックの人
for i in range(k):
    CD[i][0] -= 1
    CD[i][1] -= 1
    if person_group[CD[i][0]] == person_group[CD[i][1]]:
        person_unable[CD[i][0]] += 1
        person_unable[CD[i][1]] += 1

for i in range(n):
    print(group[person_group[i]] - person_unable[i] - 1, "", end="")
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
p = list(map(int, input().split()))
ans = 0
for i in range(n-k+1):
    tmp = (sum(p[i:i+k])+k)/2
    if tmp > ans:
        ans = tmp

print(ans)

Fixed submission:
n, k = map(int, input().split())
P = list(map(int, input().split()))
kitai = [(p+1)/2 for p in P]
kitai_cum = [kitai[0]] * (n + 1)
for i in range(n):
    kitai_cum[i+1] = kitai_cum[i] + kitai[i]
ans = 0
for i in range(n-k+1):
    ans = max(ans, kitai_cum[i+k]-kitai_cum[i])
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
p = list(map(int, input().split()))
ans = 0
for i in range(n-k+1):
    sum_p = sum([p[i+j] for j in range(k)])
    ans = max(ans, (sum_p+k)/2)

print(ans)

Fixed submission:
n, k = map(int, input().split())
P = list(map(int, input().split()))
kitai = [(p+1)/2 for p in P]
kitai_cum = [kitai[0]] * (n + 1)
for i in range(n):
    kitai_cum[i+1] = kitai_cum[i] + kitai[i]
ans = 0
for i in range(n-k+1):
    ans = max(ans, kitai_cum[i+k]-kitai_cum[i])
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
S = input()
cnt = [0] * 1000
for i in range(1000):
    pin = str(i).zfill(3)
    for j in range(n):
        if S[j] == pin[0]:
            p1 = j
            break
    else:
        continue
    for k in range(p1+1, n):
        if S[k] == pin[1]:
            p2 = k
            break
    else:
        continue
    for l in range(p2+1, n):
        if S[l] == pin[2]:
            break
    else:
        continue
    cnt[i] += 1
print(sum(c > 0 for c in cnt))

Fixed submission:
n = int(input())
S = input()
ans = 0
def ok(i):
    pin = '{:0=3}'.format(i)
    j = 0
    for s in S:
        if s == pin[j]:
            j += 1
            if j == 3:
                return True
    else:
        return False

for i in range(1000):
    ans += ok(i)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
S = input()
cnt = [0] * 1000
for i in range(1000):
    key = str(i).zfill(3)
    for j in range(n):
        if S[j] == key[0]:
            for k in range(j+1, n):
                if S[k] == key[1]:
                    for l in range(k+1, n):
                        if S[l] == key[2]:
                            cnt[int(key)] += 1
                            break
                    else:
                        continue
                    break
            else:
                continue
            break
print(sum(c > 0 for c in cnt))

Fixed submission:
n = int(input())
S = input()
ans = 0
def ok(i):
    pin = '{:0=3}'.format(i)
    j = 0
    for s in S:
        if s == pin[j]:
            j += 1
            if j == 3:
                return True
    else:
        return False

for i in range(1000):
    ans += ok(i)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
S = input()
cnt = [0] * 1000
for i in range(1000):
    key = str(i).zfill(3)
    for j in range(n):
        if S[j] == key[0]:
            for k in range(j+1, n):
                if S[k] == key[1]:
                    for l in range(k+1, n):
                        if S[l] == key[2]:
                            cnt[int(key)] += 1
print(sum(c > 0 for c in cnt))

Fixed submission:
n = int(input())
S = input()
ans = 0
def ok(i):
    pin = '{:0=3}'.format(i)
    j = 0
    for s in S:
        if s == pin[j]:
            j += 1
            if j == 3:
                return True
    else:
        return False

for i in range(1000):
    ans += ok(i)
print(ans)
Buggy python submission (verdict: Runtime Error):
n, q = map(int, input().split())
g = [[] for _ in range(n)]
value = [0] * n
for _ in range(n-1):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    g[a].append(b)
    g[b].append(a)
for _ in range(q):
    p, x = map(int, input().split())
    value[p-1] += x

seen = [False] * n
def dfs(v):
    seen[v] = True
    for nv in g[v]:
        if seen[nv]:
            continue
        value[nv] += value[v]
        dfs(nv)
dfs(0)
print(*value)

Fixed submission:
import sys
sys.setrecursionlimit(10 ** 8)
n, q = map(int, input().split())
g = [[] for _ in range(n)]
value = [0] * n
for _ in range(n-1):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    g[a].append(b)
    g[b].append(a)
for _ in range(q):
    p, x = map(int, input().split())
    value[p-1] += x

seen = [False] * n
def dfs(v):
    seen[v] = True
    for nv in g[v]:
        if seen[nv]:
            continue
        value[nv] += value[v]
        dfs(nv)
dfs(0)
print(*value)
Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
w = max((n-k+1) / n, 0)
coin_win = 0
for i in range(1, min(k, n+1)):
    for x in range(1, 18):
        if i * (2 ** x) >= k:
            coin_win += 1 / (2 ** x)
            break
print(w + (1-w) * coin_win / min(k-1, n))

Fixed submission:
n, k = map(int, input().split())
w = max((n-k+1) / n, 0)
coin_win = 0
for i in range(1, min(k, n+1)):
    for x in range(1, 18):
        if i * (2 ** x) >= k:
            coin_win += 1 / (2 ** x)
            break
if k != 1:
    print(w + (1-w) * coin_win / min(k-1, n))
else:
    print(w)

Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
w = max((n-k+1) / n, 0)
coin_win = 0
for i in range(1, min(k, n+1)):
    for x in range(1, 18):
        if i * (2 ** x) >= k:
            print(x)
            coin_win += 1 / (2 ** x)
            break
print(w + (1-w) * coin_win / min(k-1, n))

Fixed submission:
n, k = map(int, input().split())
w = max((n-k+1) / n, 0)
coin_win = 0
for i in range(1, min(k, n+1)):
    for x in range(1, 18):
        if i * (2 ** x) >= k:
            coin_win += 1 / (2 ** x)
            break
if k != 1:
    print(w + (1-w) * coin_win / min(k-1, n))
else:
    print(w)
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
H = list(map(int, input().split()))
dp = [float('inf')] * n
dp[0] = 0
for i in range(1, n):
    for j in range(max(0, i - k), i):
        dp[i] = min(dp[i], dp[j] + abs(H[i] - H[j]))
print(dp[n-1])

Fixed submission:
import numpy as np
n, k = map(int,input().split())
H = np.array(input().split(), dtype=np.int64)

INF = 10 ** 9 + 1
dp = np.full(n, INF, dtype=np.int64)
dp[0] = 0

for i in range(1, n):
    dp[i] = min(dp[max(i - k,0):i] + np.abs(H[max(i - k,0):i] - H[i]))

print(dp[-1])
Buggy python submission (verdict: Runtime Error):
n = int(input())
tp, xp, yp = 0, 0, 0
for _ in range(n):
  t, x, y = map(int, input().split())
  td = t - tp
  xd = x - xp
  yd = y - yp
  if td < abs(xd) + abs(yd) or (td - abs(xd) - abs(yd)) % 2 == 1:
    print('No')
    break
    tp = t
    xp = x
    yp = y
    else:
      print('Yes')

Fixed submission:
n = int(input())
tp, xp, yp = 0, 0, 0
for _ in range(n):
    t, x, y = map(int, input().split())
    td = t - tp
    xd = x - xp
    yd = y - yp
    if td < abs(xd) + abs(yd) or (td - abs(xd) - abs(yd)) % 2 == 1:
        print('No')
        break
    tp = t
    xp = x
    yp = y
else:
    print('Yes')
Buggy python submission (verdict: Runtime Error):

N, X, M = map(int,input().split())

ans_list = [X]

for i in range(1,N):
    ans = ans_list[-1]**2%M
    if ans in ans_list:
        break
    else:
        ans_list.append(ans)

st_index = ans_list.index(ans)

if st_index == N-1:
    print(sum(ans_list))
else:
    total = sum(ans_list[:st_index])
    N -= st_index
    syo = N//(i-st_index)
    mod = N%(i-st_index)

    total += sum(ans_list[st_index:])*syo
    total += sum(ans_list[st_index:st_index+mod])
    print(total)

Fixed submission:

N, X, M = map(int,input().split())

ans_list = [X]
if N == 1:
    print(X)
else:
    for i in range(1,N):
        ans = ans_list[-1]**2%M
        if ans in ans_list:
            break
        else:
            ans_list.append(ans)

    st_index = ans_list.index(ans)

    if st_index == N-1:
        print(sum(ans_list))
    else:
        total = sum(ans_list[:st_index])
        N -= st_index
        syo = N//(i-st_index)
        mod = N%(i-st_index)

        total += sum(ans_list[st_index:])*syo
        total += sum(ans_list[st_index:st_index+mod])
        print(total)
Buggy python submission (verdict: Time Limit Exceeded):

N,M,K = map(int,input().split())
A = list(map(int,input().split()))
B = list(map(int,input().split()))


A_cs = [0]*(len(A)+1)
for i in range(1,len(A)+1):
    A_cs[i] = A_cs[i-1]+ A[i-1]

B_cs = [0]*(len(B)+1)
for i in range(1,len(B)+1):
    B_cs[i] = B_cs[i-1]+ B[i-1]

total = 0
for i in range(len(A_cs)):
    for j in range(len(B_cs)):
        if A_cs[i]+B_cs[j]<=K:
            if total < i+ j:
                total = i+ j

print(total)

Fixed submission:
N, M, K = map(int, input().split())
A = [0]+list(map(int, input().split()))
B = [0]+list(map(int, input().split()))
import itertools
A_cs = list(itertools.accumulate(A))
B_cs = list(itertools.accumulate(B))

total = 0
j = len(B)-1
for i in range(len(A_cs)):
    while (j >= 0):
        if A_cs[i] + B_cs[j] <= K:
                total = max(total,i + j)
                break
        j -= 1

print(total)
Buggy python submission (verdict: Runtime Error):
A,B = map(int, input().split())
print(int(A*B))

Fixed submission:
A,B = input().split()

A = int(A)
ans = str(A*int(B[0])*10**2+A*int(B[2])*10**1+A*int(B[3]))
if len(ans) <=2:
    print(0)
else:
    print(ans[:-2])
Buggy python submission (verdict: Runtime Error):
import numpy as np
N,M,X = map(int, input().split())
nd_list = np.ones(M)*X

next_list = []
for i in range(0,N):
    next_list.append(list(map(int, input().split())))
next_list = np.array(next_list)
min_tot = 10000000

def dfs(i,ab_list):
    global min_tot
    if i==N and np.all(ab_list[1:]>=nd_list):
        if min_tot > ab_list[0]:
            min_tot = ab_list[0]
        return True
    elif i ==N:
        return True

    dfs(i+1,ab_list)
    dfs(i+1,ab_list+next_list[i,:])


if min_tot ==10000000:
    print(-1)
else:
    print(min_tot)

Fixed submission:
import numpy as np
N,M,X = map(int, input().split())
nd_list = np.ones(M)*X

next_list = []
for i in range(0,N):
    next_list.append(list(map(int, input().split())))
next_list = np.array(next_list)
min_tot = 10000000

def dfs(i,ab_list):
    global min_tot
    if i==N and np.all(ab_list[1:]>=nd_list):
        if min_tot > ab_list[0]:
            min_tot = ab_list[0]
        return True
    elif i ==N:
        return True

    dfs(i+1,ab_list)
    dfs(i+1,ab_list+next_list[i,:])


dfs(0,np.zeros(1+M))
if min_tot ==10000000:
    print(-1)
else:
    print(int(min_tot))
Buggy python submission (verdict: Runtime Error):
M,N = input().split()
A = list(input().split())mport numpy as np
N,M = map(int,input().split())
A = np.array(list(map(int,input().split())))

all_sum_a = np.sum(A)

if M<=np.sum(A>=all_sum_a/(4*M)):
    print('Yes')
else:
    print('No')


Fixed submission:
import numpy as np
N,M = map(int,input().split())
A = np.array(list(map(int,input().split())))

all_sum_a = np.sum(A)

if M<=np.sum(A>=all_sum_a/(4*M)):
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
a, b, c = map(int, input().split())

if c-a-b>=0:
    if 4*a*b<(c-a-b)**2:
        print('Yes')
    else:
        print('No')
else:
    print('No')

Fixed submission:
lst = [1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51]
K = int(input())

print(lst[K-1])