Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
from scipy.special import comb
n,m = map(int,input().split())
ans1=0
ans2=0
if n > 1:
    ans1=comb(n,2,exact=True)
if m > 1:
    ans2=comb(m,2,exact=True)
print(ans1+ans2)

Fixed submission:
import math
def comb(x,y):
    return math.factorial(x)//(math.factorial(x-y)*math.factorial(y))
n,m = map(int,input().split())

ans1=0
ans2=0
if n > 1:
    ans1=comb(n,2)
if m > 1:
    ans2=comb(m,2)
print(ans1+ans2)

Buggy python submission (verdict: Runtime Error):
from scipy.special import comb
n,m = map(int,input().split())
ans1=0
ans2=0
if n > 1:
    ans1=comb(n,2,exact=True)
if m > 1:
    ans2=comb(m,2,exact=True)
print(ans1+ans2)

Fixed submission:
import math
def comb(x,y):
    return math.factorial(x)//(math.factorial(x-y)*math.factorial(y))
n,m = map(int,input().split())

ans1=0
ans2=0
if n > 1:
    ans1=comb(n,2)
if m > 1:
    ans2=comb(m,2)
print(ans1+ans2)
Buggy python submission (verdict: Time Limit Exceeded):
N,A,B=map(int,input().split())
a=[]
while len(a) < N:
    for i in range(A):
        a.append("x")
    for j in range(B):
        a.append("y")
ans=a[:N]
print(ans.count("x"))




Fixed submission:
N,A,B=map(int,input().split())
K=N//(A+B)
print(K*A+min(A,N%(A+B)))
Buggy python submission (verdict: Time Limit Exceeded):
H = int(input())
a = [H]
i = 0
while a != [1]*len(a):
    a = a[1:]

    a += [int(H / 2) for i in range(2)]
    H = a[0]

    i += 1
print(i+sum(a))


Fixed submission:
h = int(input())
ans = 0
while True:
    h = h // 2
    ans += 1
    if h == 0:
        break
print(2**ans-1 )
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = list(map(int,input().split()))
a = []
b = []
ans = 1
for i in range(1,len(P)):
    a = P[:i + 1]
    b= P[i]
    a.sort()
    if b == a[0]:
        ans += 1
print(ans)    

Fixed submission:
N = int(input())
P = list(map(int,input().split()))
mi = 10**7
b = [0]*N
for i in range(N):
    if mi > P[i]:
        b[i] += 1
        mi=P[i]
print(sum(b))
Buggy python submission (verdict: Runtime Error):
import math
import fractions
from functools import reduce

n, m = map(int,input().split())
a = list(map(int,input().split()))
a = [t // 2 for t in a]#リストの要素すべてを2で割る

def lcm_base(x, y):
    return (x * y)//math.gcd(x,y)

def lcm_list(numbers): #最小公倍数を求める
    return reduce(lcm_base, numbers, 1)

def num_dev2(x):
    return bin(x)[::-1].find("1") #２で割り切れる回数を確認

lcm = lcm_list(a)
q = m//lcm #mは最小公倍数で何回割れるか

count = 0
dev2 = num_dev2(a[0])
for i in range(1,n):
    if dev2 != num_dev2(a[i]):#リストのすべての要素の２で割れる回数は等しいか
        count += 1
        break
if count != 0:
    print(0)
else:
    print(math.ceil(q/2))

Fixed submission:
import math
import fractions
from functools import reduce
 
n, m = map(int, input().split())
a = list(map(int, input().split()))
a=[t//2 for t in a] # リストの要素を全て2で割る
 
def lcm_base(x, y):
    return (x * y) // fractions.gcd(x, y)
 
def lcm_list(numbers): # 最小公倍数を求める
    return reduce(lcm_base, numbers, 1)
 
def num_dev2(x): # 2で割り切れる回数をカウント
    return format(x, 'b')[::-1].find('1')
 
lcm = lcm_list(a)
q = m // lcm # mは最小公倍数で何回割れるか
 
count = 0
dev2 = num_dev2(a[0])
for i in range(1, n):
    if dev2 != num_dev2(a[i]): # リストの全ての要素の、2で割れる回数は等しいか？
        count += 1
        break
if count != 0:
    print(0)
else:
    print(math.ceil(q/2))

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

n, m = map(int,input().split())
a = list(map(int,input().split()))
a = [x // 2 for x in a]#リストの要素すべてを2で割る

def lcm_base(x, y):
    return (math.gcd(x, y))

def lcm_list(numbers): #最小公倍数を求める
    return reduce(lcm_base, numbers, 1)

def num_dev2(x):
    return bin(x)[::-1].find("1") #２で割り切れる回数を確認

lcm = lcm_list(a)
q = m #lcm,mは最小公倍数で何回割れるか

count = 0
dev2 = num_dev2(a[0])
for i in range(1,n):
    if dev2 != num_dev2(a[i]):#リストのすべての要素の２で割れる回数は等しいか
        count += 1
        break
if count != 0:
    print(0)
else:
    print(math.ceil(q/2))

Fixed submission:
import math
import fractions
from functools import reduce
 
n, m = map(int, input().split())
a = list(map(int, input().split()))
a=[t//2 for t in a] # リストの要素を全て2で割る
 
def lcm_base(x, y):
    return (x * y) // fractions.gcd(x, y)
 
def lcm_list(numbers): # 最小公倍数を求める
    return reduce(lcm_base, numbers, 1)
 
def num_dev2(x): # 2で割り切れる回数をカウント
    return format(x, 'b')[::-1].find('1')
 
lcm = lcm_list(a)
q = m // lcm # mは最小公倍数で何回割れるか
 
count = 0
dev2 = num_dev2(a[0])
for i in range(1, n):
    if dev2 != num_dev2(a[i]): # リストの全ての要素の、2で割れる回数は等しいか？
        count += 1
        break
if count != 0:
    print(0)
else:
    print(math.ceil(q/2))
Buggy python submission (verdict: Time Limit Exceeded):
a, b = map(int,input().split())
ans = max(a,b)
while True:
    if ans % a == 0 and ans % b == 0:
        print(ans)
        break
    ans += 1

Fixed submission:
from fractions import gcd 
a, b = map(int,input().split())
print((a*b)//gcd(a,b))
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int,input().split()))
c=a[n-1]
a.sort()
a=list(set(a))
#fuct = [i for i in range(1,n+1)]
b=[0]
i = 0
ans = 0
while True:
    if a[0] != 1:
        print(-1)
        break
    if b[i]+1 == a[i]:
        b.append(a[i])
        if a[i] == c:
            print(n - len(b) + 1)
            
            break
    elif b[i] == a[i]:
        ans += 0
    i += 1

Fixed submission:
n = int(input())
a = [int(s) - 1 for s in input().split()]

result = 0
for i in range(n):
    if a[i] != (i - result):
        result += 1
if result == n:
    print(-1)
else:
    print(result)
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import combinations
n = int(input())
l = list(map(int,input().split()))
ans = 0
for i in combinations(l,3):
    if abs(i[1] - i[2]) < i[0] and i[1] + i[2] > i[0]:
        ans += 1
print(ans)

Fixed submission:
#(0)入力環境
import bisect#listをsortしたまま要素を挿入できる
n = int(input())
l = sorted(list(map(int,input().split())))

#(1)考察
#aとbの二重ループのなかで最後の一つは二分探索で高速に
ans = 0
for i in range(n - 1):
    for j in range(i + 1, n):
        ans += bisect.bisect_left(l,l[i] + l[j]) - (j + 1)
        

print(ans)
Buggy python submission (verdict: Runtime Error):
#<D>wa
#(Point)
#優先度付きキューを使いこなす！
#最大値を1/2するのをＭ回繰り返せばいいけどリストやと最大値の選定にO(N),
#それをＭ回やからO(MN)でＴＬＥ
#heapqやったらO(MlogN)なのでおｋ
import heapq
N, M = map(int,input().split())
#最大値取り出すためにリストの要素をすべてマイナスに
A = list(map(lambda x:-int(x),input().split()))
heapq.heapify(A) #Ａを優先度付きキューに

for i in range(M):
    value_min = heapq.heappop(A)
    heapq.heappush(A, (-1) * (-value_min//2)) #負数の剰余演算避けるために
    #一時的に０以上の整数にしている
    #*(-1)してやらんと挿入した後の次の最大値を探す作業ができなくなる
    #heapqは最小値しかみつけれんから
    print(A)
print(-sum(A))



Fixed submission:
#<D>wa
#(Point)
#優先度付きキューを使いこなす！
#最大値を1/2するのをＭ回繰り返せばいいけどリストやと最大値の選定にO(N),
#それをＭ回やからO(MN)でＴＬＥ
#heapqやったらO(MlogN)なのでおｋ
import heapq
N, M = map(int,input().split())
#最大値取り出すためにリストの要素をすべてマイナスに
A = list(map(lambda x:-int(x),input().split()))
heapq.heapify(A) #Ａを優先度付きキューに

for i in range(M):
    value_min = heapq.heappop(A)
    heapq.heappush(A, (-1) * (-value_min//2)) #負数の剰余演算避けるために
    #一時的に０以上の整数にしている
    #*(-1)してやらんと挿入した後の次の最大値を探す作業ができなくなる
    #heapqは最小値しかみつけれんから
    #print(A)
print(-sum(A))
Buggy python submission (verdict: Time Limit Exceeded):
#<D>
import itertools
N = int(input())
num = [n for n in range(1, N + 1)]
print(list(itertools.accumulate(num))[N - 1] - N)
    


Fixed submission:
N = int(input())
print((N - 1) * N // 2)

Buggy python submission (verdict: Time Limit Exceeded):
#<D>
N = int(input())
num = [n for n in range(1, N + 1)]
print(sum(num) - N)
    

Fixed submission:
N = int(input())
print((N - 1) * N // 2)
Buggy python submission (verdict: Time Limit Exceeded):
#<C>
from collections import Counter
import itertools
N = int(input())
lan = [Counter(list(input())) for n in range(N)]
#print(lan)
ans = 0
for l in itertools.combinations(lan, 2):
    if l[0] == l[1]:
        ans += 1

print(ans)



Fixed submission:
import collections

N = int(input())
lan = ["".join(sorted(input())) for n in range(N)]
#print(lan)
lans = collections.Counter(lan)
#print(lans)
ans = 0
for si in set(lan):
    n = lans[si]
    ans += n * (n - 1) // 2
print(ans)
Buggy python submission (verdict: Runtime Error):
#<B>
N = input()
ans = 0
for i in range(1, int(N + 1)):
    if len(str(i)) % 2 != 0:
        ans += 1

print(ans)

Fixed submission:
N=int(input())
ans=0
for i in range(1,N+1):
    if len(str(i))%2==1:
        ans+=1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
#<134>
import sys
input = sys.stdin.readline
N = int(input())
A = []
for n in range(N):
    A.append(int(input()))
#print(A)
for n in range(N):
    x = A[n]
    A[n] = 0
    print(max(A))
    A[n] = x
    #print(A)

Fixed submission:
N = int(input())
A = []
for n in range(N):
    A.append(int(input()))

B = sorted(A, reverse = True)
max1 = B[0]
max2 = B[1]
for a in A:
    print(max2 if a == max1 else max1)

Buggy python submission (verdict: Time Limit Exceeded):

#<134>
N = int(input())
A = []
for n in range(N):
    A.append(int(input()))
#print(A)
for n in range(N):
    x = A[n]
    A[n] = 0
    print(max(A))
    A[n] = x
    #print(A)

Fixed submission:
N = int(input())
A = []
for n in range(N):
    A.append(int(input()))

B = sorted(A, reverse = True)
max1 = B[0]
max2 = B[1]
for a in A:
    print(max2 if a == max1 else max1)
Buggy python submission (verdict: Time Limit Exceeded):
#<127>

N, M = map(int, input().split())
gate = [0] * N
#rang = []
for m in range(M):
    L, R = map(int, input().split())
    for x in range(L, R + 1):
        gate[x - 1] += 1
        #print(gate)

print(gate.count(M))

Fixed submission:
N, M = map(int, input().split())
L, R = [0] * M, [0] * M
for m in range(M):
    L[m], R[m] = map(int, input().split())
print(max(min(R) - max(L) + 1, 0))
Buggy python submission (verdict: Time Limit Exceeded):
#<122>
N, Q = map(int,input().split())
S = input()
for q in range(Q):
    get_ac = ""
    l, r = map(int,input().split())
    get_ac = S[l-1:r]
    print(get_ac.count("AC"))
    


Fixed submission:
from itertools import accumulate
N, Q = map(int,input().split())
S = input()
A = [list(map(int,input().split())) for q in range(Q)]
#print(A)

#フラグを立てて累積和で高速化
flg = []
for n in range(N-1):
    tmp_s = S[n:n+2]
    if tmp_s == "AC":
        flg.append(1)
    else:
        flg.append(0)

flg2 = [0] + flg
flg2 = list(accumulate(flg2))
#print(flg2)

for a in A:
    print(flg2[a[1]-1] - flg2[a[0]-1])
Buggy python submission (verdict: Runtime Error):
import sympy
N=int(input())
ans=0
a=0
for i in range(1,N+1,2):
    for j in range(1,i+1):
        if i%j==0:
            a+=1
            if a==8:
                ans+=1

print(ans)

Fixed submission:
N=int(input())
ans=0
for i in range(1,N+1,2):
    a=0
    for j in range(1,i+1):
        if i%j==0:
            a+=1
            if a==8:
                ans+=1

print(ans)
Buggy python submission (verdict: Runtime Error):
#<全探索>
#<ABC95C>
A,B,C,X,Y = map(int,input().split())
ans1 = A*X + B* Y
ans2=0
if X > Y:
    ans2= C * 2 * Y + A * (X-Y)
else:
    ans2= C * 2 * X + A * (Y-X)

ans3 = 0
if X > Y:
    ans3 = C * 2 * X
else:
    ans3 = C * 2 * Y
ans4=float("inf")
for i in range(2,min(X, Y),2):
    ans4=min(ans4,C * i + A * (x- i) + B *(Y-i))
    
print(min(ans1,ans2,ans3,ans4))
    


Fixed submission:
#<100q.全探索（計算量注意）>
a, b, c, x, y = map(int,input().split())
ans1 = a * x + b * y
if x <= y:
    ans2 = c * 2 * x + b * (y - x)
    ans5 = c * 2 * y
else:
    ans2 = c * 2 * y + a * (x - y)
    ans5 = c * 2 * x
ans3 = a * x + c * 2 * y
ans4 = b * y + c * 2 * x
##print(ans1)
##print(ans2)
##print(ans3)
##print(ans4)
##print(ans5)
print(min(ans1,ans2, ans3, ans4, ans5))
Buggy python submission (verdict: Time Limit Exceeded):
N,Y=map(int,input().split())
for i in range(N+1):
    for j in range(N+1):
        for k in range(N+1):
            if i+j+k==N and 10000*i+5000*j+1000*k==Y:
                print("{} {} {}".format(i,j,k))
                exit()  
            
print("{} {} {}".format(-1,-1,-1))
  

Fixed submission:
N,Y=map(int,input().split())
for i in range(N+1):
    for j in range(N-i+1):
        if 10000*i+5000*j+1000*(N-i-j)==Y:
                print("{} {} {}".format(i,j,N-i-j))
                exit()  
            
print("{} {} {}".format(-1,-1,-1))
Buggy python submission (verdict: Runtime Error):
#<14>
#(point)
#全探索によってどの建物が見えるようにするかを決めて必要な費用を計算。
#建物が見える =　それより左にある建物maxより１大きいなので左から線形に
#最大値を更新、計算量は高々n_c_kのcombについてO(N)の操作なのでおｋ
from itertools import combinations
n, k = map(int,input().split())
a = list(map(int,input().split()))
mn = 10 ** 18

for b in combinations(range(1, n),k - 1):#一番左は固定
    mx = a[0] #初期値=一番左の建物
    score = 0
    for j in range(1, n):
        if j in b:#見えなあかん建物なら
            if a[j] <= mx : #低けりゃ高くする
                mx += 1
                score += (mx - a[j])
            else: #高さが十分なら最大値を更新するだけ
                mx = a[n]
        else:
            mx = max(mx, a[j])#別に見えんくてもいい建物なら最大値更新
    mn = min(mn, score)
print(mn)
                


Fixed submission:

2
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6
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8
9
10
11
12
13
14
15
16
17
18
from itertools import combinations
N, K = map(int, input().split())
A = list(map(int, input().split()))
mn = 10**18
for B in combinations(range(1,N),K-1): # 一番左は固定
    mx = A[0] # 初期値は一番左の建物
    score = 0
    for n in range(1,N):
        if n in B: # 見えるようにすべき建物なら
            if A[n] <= mx: # 低ければ高くする
                mx += 1
                score += (mx - A[n])
            else: # 高さが十分なら何もしない。最大値を更新
                mx = A[n]
        else:
            mx = max(mx, A[n]) # 見えなくても良い建物なら、最大値を更新
    mn = min(mn, score)
print (mn)
Buggy python submission (verdict: Runtime Error):
a,b,c = map(int, input().split())
k = int(input())

while k > 0:
    if a >= b:
        b *= 2
        k -= 1
    else
        c *= 2
        k -= 1

if b > a and c > b:
    print('Yes')
else:
    print('No')

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

while k > 0:
    if a >= b:
        b *= 2
        k -= 1
    else:
        c *= 2
        k -= 1

if b > a and c > b:
    print('Yes')
else:
    print('No')

Buggy python submission (verdict: Time Limit Exceeded):
a,b,c = map(int, input().split())
k = int(input())

while k > 0:
    if a >= b:
        b *= 2
        k -= 1
    elif b >= c:
        c *= 2
        k -= 1

if b > a and c > b:
    print('Yes')
else:
    print('No')

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

while k > 0:
    if a >= b:
        b *= 2
        k -= 1
    else:
        c *= 2
        k -= 1

if b > a and c > b:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
h,w,k = map(int, input().split())
c = [list(input()) for _ in range(h)]
kaito = 0

def kako(a,b):
    global h,w
    d = [0]*(h - len(a))
    e = [0]*(w - len(b))
    d.append(a)
    e.append(b)
    a = d
    b =e

def hantei(a,b):
    global k,kaito,h,w
    ans = 0
    for i in range(h):
        for j in range(w):
            if a[i] == '1' and b[j] == '1' and c[i][j] == '#':
                ans += 1
    if ans == k:
        kaito += 1
    

for i in range(2**h):
    for j in range(2**w):
        a = list(bin(i))
        b = list(bin(j))
        a = a[2:]
        b = b[2:]
        kako(a,b)
        hantei(a,b)

print(kaito)



    


Fixed submission:
from itertools import product

h,w,k = map(int, input().split())
grid = [input() for _ in range(h)]

ans = 0
for row in product([0,1], repeat=h):
    for col in product([0,1], repeat=w):
        cnt = 0
        for i in range(h):
            if row[i] == 1:
                continue
            for j in range(w):
                if col[j] == 1:
                    continue
                if grid[i][j] == '#':
                    cnt += 1
        if cnt == k:
            ans += 1

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
def calc():
 n=int(input())
 table=[0]*(n+1)
 for i in range(1,n+1): #各iについて、iの倍数の約数の個数table[i*j]を1増やす
   for j in range(i,n+1,i):
     table[j]+=1
 ans=0
 for i in range(1,n+1):
   ans+=i*table[i] #すべてのKについてf(K)を求められたので答えを計算する
 print(ans)
calc()

Fixed submission:
n=int(input())
ans=0
for i in range(1,n+1): #各iについて、i*(1～n//iまでの総和)を足し合わせればよい
 k=n//i
 ans+=i*(k*(k+1)//2)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import sys
sys.setrecursionlimit(10 ** 6)
n = int(input())

def factorization(n):
    arr = []
    ret = 1
    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])
            ret = ret * (cnt+1)

    if temp!=1:
        arr.append([temp, 1])
        ret = ret*2

    if arr==[]:
        arr.append([n, 1])
        ret = ret *2

    return ret


ans = 1
if n != 1:
    for i in range(2,n+1):
        ans += i * factorization(i)

print(ans)

Fixed submission:
n=int(input())
ans=0
for i in range(1,n+1): #各iについて、i*(1～n//iまでの総和)を足し合わせればよい
 k=n//i
 ans+=i*(k*(k+1)//2)
print(ans)

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

def factorization(n):
    arr = []
    ret = 1
    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])
            ret = ret * (cnt+1)

    if temp!=1:
        arr.append([temp, 1])
        ret = ret*2

    if arr==[]:
        arr.append([n, 1])
        ret = ret *2

    return ret


ans = 1
if n != 1:
    for i in range(2,n+1):
        ans += i * factorization(i)

print(ans)

Fixed submission:
n=int(input())
ans=0
for i in range(1,n+1): #各iについて、i*(1～n//iまでの総和)を足し合わせればよい
 k=n//i
 ans+=i*(k*(k+1)//2)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
x,n = map(int, input().split())
p = list(map(int, input().split()))

up = x
down = x
ans = 0
while ans == 0:
    for i in range(n + 1):
        if p.count(down) == 0:
            ans = down
            break
        elif p.count(up) == 0:
            ans = up
            break
        else:
            up += 1
            down -= 1

print(ans)

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

up = x
down = x
ans = 0

while ans == 0:
    if p.count(down) == 0:
        ans = down
        break
    elif p.count(up) == 0:
        ans = up
        break
    else:
        up += 1
        down -= 1

print(ans)
Buggy python submission (verdict: Runtime Error):
n, m, x = map(int, input().split())
c = [[0]*m] *n
for i in range(n):
    c[i] = list(map(int, input().split()))
ans = 1000000
shoki = [0] * (m + 1)



def check(xxx):
    tmp = 0
    for i in range(1,m):
        if x > xxx[i]:
            tmp = 1
    if tmp == 0:
        return True
    else:
        return False

def tashi(g,h):
    shoki = [0] * (m + 1)
    for i in range(m+1):
        shoki[i] = g[i] + h[i]
    return shoki
        

def aaa(asum,b):
    if check(asum):
        ans = min(ans, asum[0]) 
        return True
    if b == n:
        return False
    if aaa(asum, b+1):
        return check(asum)
    if aaa(tashi(asum,c[b]),b+1):
        return check(asum)


if aaa(shoki, 0):
    print(ans)
else:
    print(-1)

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

n,m,x = map(int, input().split())
c = [list(map(int, input().split())) for _ in range(n)]

def dfs(asum, b):
    global n, m, x
    rst = 10 ** 8
    if b == n:
        if all(asum[i] >= x for i in range(1, m + 1)):
            rst = asum[0]
    else:
        rst = min(rst, dfs(asum, b+1))
        asum2 = tuple(asum[i] + c[b][i] for i in range(m + 1))
        rst = min(rst, dfs(asum2, b+1))

    return rst

rst = dfs(tuple([0] * (m + 1)), 0)
ans = rst if rst < 10 ** 8 else -1
print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())

def dfs(s, mx):
    if len(s) == n:
        print(s)
    else:
        for i in range(0, mx +1):
            c = chr(ord('a')+i)
            dfs(s+c, mx +1) if i == mx else dfs(s+c, mx)

df('', 0)

Fixed submission:
n = int(input())

def dfs(s, mx):
    if len(s) == n:
        print(s)
    else:
        for i in range(0, mx +1):
            c = chr(ord('a')+i)
            dfs(s+c, mx +1) if i == mx else dfs(s+c, mx)

dfs('', 0)
Buggy python submission (verdict: Runtime Error):
sardine

Fixed submission:
s = input()
length = len(s)

ans = ''

for i in range(length):
    ans += 'x'

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

N, M, K = map(int, input().split())
tempA = [int(i) for i in input().split()]
tempB = [int(i) for i in input().split()]
A = [0] * (N+1)
for i in range(1, N+1):
    A[i] = A[i-1] + tempA[i-1]
B = [0] * (M+1)
for i in range(1, M+1):
    B[i] = B[i-1] + tempB[i-1]

ans = 0
for a in range(N+1):
    if A[a] > K:
        break
    for b in range(M+1):
        if A[a] + B[b] <= K:
            ans = max(ans, a+b)
        else:
            break

print(ans)

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

N, M, K = map(int, input().split())
tempA = [int(i) for i in input().split()]
tempB = [int(i) for i in input().split()]
A = [0] * (N+1)
for i in range(1, N+1):
    A[i] = A[i-1] + tempA[i-1]
B = [0] * (M+1)
for i in range(1, M+1):
    B[i] = B[i-1] + tempB[i-1]

ans = 0
for a in range(N+1):
    if A[a] > K:
        break
    for b in range(ans-a+1, M+1):
        if A[a] + B[b] <= K:
            ans = max(ans, a+b)
        else:
            break

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N, M, K = map(int, input().split())
tempA = [int(i) for i in input().split()]
tempB = [int(i) for i in input().split()]
A = [0] * (N+1)
for i in range(1, N+1):
    A[i] = A[i-1] + tempA[i-1]
B = [0] * (M+1)
for i in range(1, M+1):
    B[i] = B[i-1] + tempB[i-1]

ans = 0
for a in range(N+1):
    for b in range(M+1):
        if A[a] + B[b] <= K:
            ans = max(ans, a+b)

print(ans)

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

N, M, K = map(int, input().split())
tempA = [int(i) for i in input().split()]
tempB = [int(i) for i in input().split()]
A = [0] * (N+1)
for i in range(1, N+1):
    A[i] = A[i-1] + tempA[i-1]
B = [0] * (M+1)
for i in range(1, M+1):
    B[i] = B[i-1] + tempB[i-1]

ans = 0
for a in range(N+1):
    if A[a] > K:
        break
    for b in range(ans-a+1, M+1):
        if A[a] + B[b] <= K:
            ans = max(ans, a+b)
        else:
            break

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N, M, K = map(int, input().split())
tempA = [int(i) for i in input().split()]
tempB = [int(i) for i in input().split()]
A = [0] * (N+1)
for i in range(1, N+1):
    A[i] = A[i-1] + tempA[i-1]
B = [0] * (M+1)
for i in range(1, M+1):
    B[i] = B[i-1] + tempB[i-1]

ans = 0
for a in range(N+1):
    for b in range(M+1):
        if A[a] + B[b] <= K:
            ans = max(ans, a+b)

print(ans)

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

N, M, K = map(int, input().split())
tempA = [int(i) for i in input().split()]
tempB = [int(i) for i in input().split()]
A = [0] * (N+1)
for i in range(1, N+1):
    A[i] = A[i-1] + tempA[i-1]
B = [0] * (M+1)
for i in range(1, M+1):
    B[i] = B[i-1] + tempB[i-1]

ans = 0
for a in range(N+1):
    if A[a] > K:
        break
    for b in range(ans-a+1, M+1):
        if A[a] + B[b] <= K:
            ans = max(ans, a+b)
        else:
            break

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

def num_divisors_table(n):
    table = [0] * (n + 1)
    
    ans = 0
    for i in range(1, n + 1):
        for j in range(i, n + 1, i):
            ans += j
    
    return ans

print(num_divisors_table(N))


Fixed submission:
N = int(input())

def num_divisors_table(n):
    table = [0] * (n + 1)
    
    for i in range(1, n + 1):
        for j in range(i, n + 1, i):
            table[j] += 1
    
    return table

ls = num_divisors_table(N)
ans = 0
for i in range(1, N+1):
    ans += i * ls[i]
print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())

S = "abcdefghijklmnopqrstu"

s = ""
while N // 26 > 0:
    s += S[N%26-1]
    N //= 26
s += S[N-1]

print(s[::-1])

Fixed submission:
N = int(input())

S = "abcdefghijklmnopqrstuvwxyz"

ans = ""
while N > 0:
    N -= 1
    ans += S[N%26]
    N //= 26

print(ans[::-1])