Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
a, b = map(int, input().split())
ct = 1
k = 0
while True:
    if ct >= b:
        break
    k += 1
    ct += a - 1
print(k)


Fixed submission:
a = input()
b = input()
ct = 0
for i, j in zip(a, b):
    if i == j:
        ct += 1

print(ct)
Buggy python submission (verdict: Time Limit Exceeded):
a = int(input())
sum = 0
for i in range(a):
    sum += i
print(sum)


Fixed submission:
a = int(input())
sum = 0
sum = (a-1)* a // 2
print(sum)
Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10**7)
input = sys.stdin.readlines

from collections import deque

def main():

    lines = input()
    n, k = list(map(int, lines[0].split()))
    a = [[] for i in range(n+1)]

    for i in range(1, n):
        r, l = list(map(int, lines[i].split()))
        a[r].append(l)
        a[l].append(r)

    que = deque()
    que.append(1)
    colors = [-1] * (n+1)
    colors[1] = k
    ways = k

    def bfs(que, height):
        if que:
            nonlocal ways
            p = que.popleft()
            # root no toki
            if height == 0:
                now_color = k
                for son in a[p]:
                    now_color -= 1
                    ways = (ways * now_color) % 1_000_000_007
                    colors[son] = now_color
                    que.append(son)
            else:
                now_color = k-1
                for son in a[p]:
                    if colors[son] < 0:
                        now_color -= 1
                        colors[son] = now_color
                        ways = (ways * now_color) % 1_000_000_007
                        que.append(son)

        bfs(que, height+1)

    bfs(que, 0)

    print(ways)

main()

Fixed submission:
import sys
sys.setrecursionlimit(10**7)
input = sys.stdin.readlines

from collections import deque

def main():

    lines = input()
    n, k = list(map(int, lines[0].split()))
    a = [[] for i in range(n+1)]

    for i in range(1, n):
        r, l = list(map(int, lines[i].split()))
        a[r].append(l)
        a[l].append(r)

    que = deque()
    que.append(1)
    colors = [-1] * (n+1)
    colors[1] = k
    ways = k

    while que:
        p = que.popleft()
        # root no toki
        if p == 1:
            now_color = k
            for son in a[p]:
                now_color -= 1
                ways = (ways * now_color) % 1_000_000_007
                colors[son] = now_color
                que.append(son)
        else:
            now_color = k-1
            for son in a[p]:
                if colors[son] < 0:
                    now_color -= 1
                    colors[son] = now_color
                    ways = (ways * now_color) % 1_000_000_007
                    que.append(son)

    print(ways)

main()
Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10**7)
input = sys.stdin.readline

from operator import mul
from functools import reduce



def main():
    n, k = list(map(int, input().split()))
    modulo = 1000_000_000 + 7

    def cmb(n, r):
        if n < r:
            return 0
        r = min(n - r, r)
        if r == 0:
            return 1
        numer = reduce(mul, range(n, n - r, -1))
        denom = reduce(mul, range(1, r + 1))
        return numer // denom % modulo

    for i in range(1, k+1):
        # i分割する方法
        a = cmb(k-1, i-1)
        # 赤のボールを分割する方法
        b = cmb(n-k+1, i)
        print(a * b % modulo)

main()



Fixed submission:
import sys
sys.setrecursionlimit(10**7)
input = sys.stdin.readline

def main():
    s = input().strip()
    a = s[0] ; b = None
    c = 1 ; d = 0

    for i in range(1, 4):
        if s[i] == a:
            c += 1

        elif b == None:
            b = s[i]
            d += 1

        elif s[i] == b:
            d += 1

    if c == 2 and d == 2:
        print('Yes')
    else:
        print('No')

main()
Buggy python submission (verdict: Runtime Error):
import sys
from math import factorial
sys.setrecursionlimit(10**7)
input = sys.stdin.readline
def main():
    n, k = list(map(int, input().split()))
    modulo = 1000_000_000 + 7

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

    for i in range(1, k+1):
        if i > n//2 + 1:
            print(0)
            continue
        # i分割する方法
        a = combinations_count(k-1, i-1) % modulo
        # 赤のボールを分割する方法
        b = combinations_count(n-k+1, i) % modulo
        print(a * b % modulo)

main()



Fixed submission:
from operator import mul
from functools import reduce


def cmb(n, r):
	if n < r:
		return 0
	r = min(n - r, r)
	if r == 0:
		return 1
	numer = reduce(mul, range(n, n - r, -1))
	denom = reduce(mul, range(1, r + 1))
	return numer // denom % INF


N, K = map(int, input().split())
INF = 10 ** 9 + 7

for i in range(1, K + 1):
	print(cmb(K - 1, i - 1) * cmb(N - K + 1, i) % INF)

Buggy python submission (verdict: Runtime Error):
import sys
from math import factorial
sys.setrecursionlimit(10**7)
input = sys.stdin.readline
def main():
    n, k = list(map(int, input().split()))
    modulo = 1000_000_000 + 7

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

    for i in range(1, k+1):
        if i > n//2 + 1:
            print(0)
            continue
        # i分割する方法
        a = combinations_count(k-1, i-1)
        # 赤のボールを分割する方法
        b = combinations_count(n-k+1, i)
        print(a*b%modulo)

main()

Fixed submission:
from operator import mul
from functools import reduce


def cmb(n, r):
	if n < r:
		return 0
	r = min(n - r, r)
	if r == 0:
		return 1
	numer = reduce(mul, range(n, n - r, -1))
	denom = reduce(mul, range(1, r + 1))
	return numer // denom % INF


N, K = map(int, input().split())
INF = 10 ** 9 + 7

for i in range(1, K + 1):
	print(cmb(K - 1, i - 1) * cmb(N - K + 1, i) % INF)
Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(int, input().split()))
B=A
M=max(A)
k=0
Fumi=0

for k in range(1,N):
    if A[k-1]>A[k]:
        Fumi=Fumi+A[k-1]-A[k]
        A[k]=A[k-1]
    k=k+1

print(Fumi)

Fixed submission:
N, X, T = input().strip().split()
N, X, T = [int(N), int(X), int(T)]

q=N // X
mod = N % X

if mod != 0:
 q = q + 1

time = T*q

print(time)
Buggy python submission (verdict: Runtime Error):
base_name = input()
new_name = input()

if new_name[:-1] = base_name:
  print('Yes')
else:
  print('No')

Fixed submission:
name = list(input())
new_name = list(input())
new_name.pop()
 
if name == new_name:
  print('Yes')
else:
  print('No')

Buggy python submission (verdict: Runtime Error):
base_name = input()
new_name = input()

if new_name[:-1] = base_name:
  print('Yes')
else:
  print('No')

Fixed submission:
name = list(input())
new_name = list(input())
new_name.pop()
 
if name == new_name:
  print('Yes')
else:
  print('No')
Buggy python submission (verdict: Runtime Error):
s = input()
if s == 'ABC':
  print()'ARC'
else:
  print('ABC')

Fixed submission:
S = input()
if S == "ABC":
  print("ARC")
else:
  print('ABC')
Buggy python submission (verdict: Runtime Error):
n=input().split()
a=int(n[0])/int(n[1])
if int(n[0])%int(n[1])!=0:
  a+1
print(a*int(n[2])

Fixed submission:
# coding: utf-8
# Your code here!
import math
n=input().split()
a=int(n[0])/int(n[1])
b=math.floor(a)
if int(n[0])%int(n[1])!=0:
  b=b+1
print(b*int(n[2]))

Buggy python submission (verdict: Runtime Error):
n,x,t=map(int(input().split()))
count=0
if(n<=x):
  print(t,end='\n')
else:
  while(x>=n):
    count=count+1
    x=x+x
print((count+1)*t)

Fixed submission:
n,x,t=map(int,input().split())
count=0
a=0
a=x
if(n<=x):
        print(t,end='\n')
        
elif(x==1):
        print((n)*t)
else:    
    while(x<n):
        count=count+1
        x=x+a    
    print((count+1)*t)

Buggy python submission (verdict: Runtime Error):
a=int(input())
b=int(input())
c=int(input())

if a%b==0:
	print(c*(a/b))
else:
		print((c*((a//b)+1)))

Fixed submission:
a = list(map(int, input().split()))
if a[0]%a[1]==0:
  print((a[0]//a[1])*a[2])
else:
  print(a[2]*(a[0]//a[1])+a[2])
Buggy python submission (verdict: Runtime Error):
n=input()
n=int(n)
ac=0
wa=0
tle=0
re=0

for val in range(n):
  judge=input()
  if judge =='AC':
    ac=ac+1
  elif judge=='WA':
    wa=wa+1
  elif judge=='TLE':
    tle=tle+1
  elif judge=='RE':
    re=re+1
    
print('AC x',ac)
print('WA x',wa)
print('TLE x',tle)
print('RE x',re)

Fixed submission:
i= input()
pay=int(i)
if (pay%1000) == 0:
  print(0)
else: print(1000-(pay%1000))
Buggy python submission (verdict: Runtime Error):
n,x,t=map(int,input().split())

if n%x=0:
   a=int(n//x)
else:
   a=int(n//x+1)

b=int(a*t)

print(b)


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

if n%x==0:
   a=int(n//x)
else:
   a=int(n//x+1)

b=int(a*t)

print(b)

Buggy python submission (verdict: Runtime Error):
n,x,t=map(int,input().split())

if n%x=0:
   a=int(n//x)
if n%x!=0:
   a=int(n//x+1)

b=int(a*t)

print(b)


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

if n%x==0:
   a=int(n//x)
else:
   a=int(n//x+1)

b=int(a*t)

print(b)

Buggy python submission (verdict: Runtime Error):
n,x,t=map(int,input().split())

if n%x=0:
   a=n//x
if n%x!=0:
   a=n//x+1

b=int(a*t)

print(b)


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

if n%x==0:
   a=int(n//x)
else:
   a=int(n//x+1)

b=int(a*t)

print(b)

Buggy python submission (verdict: Runtime Error):
n,x,t=map(int,input().split())

if n%x=0:
   a=n//x
else:
   a=n//x+1

b=int(a*t)

print(b)


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

if n%x==0:
   a=int(n//x)
else:
   a=int(n//x+1)

b=int(a*t)

print(b)

Buggy python submission (verdict: Runtime Error):
n,x,t=map(int,input().split())

if n%x=0:
   a=n//x
else:
   a=n//x+1

b=a*t

print(b)


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

if n%x==0:
   a=int(n//x)
else:
   a=int(n//x+1)

b=int(a*t)

print(b)

Buggy python submission (verdict: Runtime Error):
n,x,t=map(int,input().split())

if n%x=o:
   a=n//x
else:
   a=n//x+1

b=a*t

print(b)


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

if n%x==0:
   a=int(n//x)
else:
   a=int(n//x+1)

b=int(a*t)

print(b)
Buggy python submission (verdict: Runtime Error):
n==int(input())

a==int(n%9)

if a==0:
   print("Yes")
else:
  print("No")
  


Fixed submission:
n=int(input())

a=int(n%9)

if a==0:
   print("Yes")
else:
  print("No")

Buggy python submission (verdict: Runtime Error):
n=int(input())

a==int(n%9)

if a==0:
   print(Yes)
else:
  print(No)
  

Fixed submission:
n=int(input())

a=int(n%9)

if a==0:
   print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
n=int(input())
tree=[[]for _ in range(n+1)]
for _ in range(n-1):
    u,v,w=map(int,input().split())
    tree[u].append([v,w])
    tree[v].append([u,w])
d=[-1]*(n+1)
d[1]=0
q=[1]
while q:
    now=q.pop()
    for n_i,n_l in tree[now]:
        if d[n_i]==-1:
            d[n_i]=d[now]+[n_l]
            q.append(n_i)
for l in d[1:]:
    print(l%2)

Fixed submission:
from collections import deque

N = int(input())
S = [[]for i in range(N)]
for i in range(N-1):
    u,v,w = map(int,input().split())
    S[u-1].append([v-1,w])
    S[v-1].append([u-1,w])
Node = [None]*N
Node[0] = True
queue = deque([0])
while queue != deque([]):
    p = queue.popleft()
    for u,w in S[p]:
        if Node[u] == None:
            queue.append(u)
            Node[u] = (Node[p])^(w%2==1)
for i in range(N):
    print([0,1][Node[i]])
Buggy python submission (verdict: Time Limit Exceeded):
N,K=map(int,input().split())
h=list(map(int,input().split()))
DP=[0]
for i in range(N-1):
    act=float("inf")
    for k in range(K):
        if i-k<0:
            continue
        act=min(DP[-1-k]+abs(h[i-k]-h[i+1]),act)
    DP+=[act]
print(DP[-1])

Fixed submission:
import numpy as np
n,k=list(map(int,input().split()))
h=np.array(list(map(int,input().split())))
npmin=np.min
npabs=np.abs
k=min(k,n-1)
dp=np.zeros(n+1)
for i in range(2,k+1):
    dp[i]=npmin(dp[1:i]+npabs(h[i-1]-h[0:i-1]))
for i in range(k+1,n+1):
    dp[i]=npmin(dp[i-k:i]+npabs(h[i-1]-h[i-1-k:i-1]))
print(int(dp[n]))
Buggy python submission (verdict: Runtime Error):
import numpy as np 
N,W==map(int,input().split())
w,v=[],[]
for i in range(N):
    a,b=map(int,input().split())
    w+=[a]
    v+=[b]
DP=np.ones(N*1000+1,dtype=int)*(W+1)
DP[0]=0
for i in range(N):
    DP[v[i]:]=np.minimum(DP[:-v[i]]+w[i],DP[v[i]:])
ans=0
for k in range(N*1000+1):
    if DP[k]<=W:
        ans=k
print(ans)

Fixed submission:
import numpy as np 
N,W=map(int,input().split())
w,v=[],[]
for i in range(N):
    a,b=map(int,input().split())
    w+=[a]
    v+=[b]
DP=np.ones(N*1000+1,dtype=int)*(W+1)
DP[0]=0
for i in range(N):
    DP[v[i]:]=np.minimum(DP[:-v[i]]+w[i],DP[v[i]:])
ans=0
for k in range(N*1000+1):
    if DP[k]<=W:
        ans=k
print(ans)

Buggy python submission (verdict: Runtime Error):
import numpy as np 
N,W=map(int,input().split())
w,v=[],[]
for i in range(N):
    a,b=map(int,input().split())
    w+=[a]
    v+=[b]
DP=np.zeros(W+1,dtype=int)
for i in range(N):
    DP[w[i]:]=np.maximum(DP[:-w[i]]+v[i],DP[w[i]:])
print(max(DP))

Fixed submission:
import numpy as np 
N,W=map(int,input().split())
w,v=[],[]
for i in range(N):
    a,b=map(int,input().split())
    w+=[a]
    v+=[b]
DP=np.ones(N*1000+1,dtype=int)*(W+1)
DP[0]=0
for i in range(N):
    DP[v[i]:]=np.minimum(DP[:-v[i]]+w[i],DP[v[i]:])
ans=0
for k in range(N*1000+1):
    if DP[k]<=W:
        ans=k
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import Counter
 
n = int(input())
cnt = Counter(input().split())
c1, c2, c3 = cnt['1'], cnt['2'], cnt['3']
total = c1 + 2 * c2 + 3 * c3
c23 = c2 + c3
dp = [[[0.0] * (c3 + 1) for _ in range(c2 + c3 + 1)] for _ in range(n + 2)]  # ←ここを0で初期化するとTLE
 
for k in range(1, n + 1):
    still = n / k
    for a1 in range(k, max(-1, 2 * k - total - 1, k - c23 - 1), -1):
        dpap, dpac, dpan = dp[a1 - 1], dp[a1], dp[a1 + 1]
        for a2 in range(min(k - a1, c2 + c3), max(-1, 3 * k - 2 * a1 - total - 1, k - a1 - c3 - 1), -1):
            a3 = k - a1 - a2
            tmp = 0
            if a1:
                tmp += dpap[a2][a3] * a1
            if a2:
                tmp += dpan[a2 - 1][a3] * a2
            if a3:
                tmp += dpac[a2 + 1][a3 - 1] * a3
            dpac[a2][a3] = tmp / k + still
print(dp[c1][c2][c3])

Fixed submission:
from collections import Counter
 
n = int(input())
cnt = Counter(input().split())
c1, c2, c3 = cnt['1'], cnt['2'], cnt['3']
total = c1 + 2 * c2 + 3 * c3
c23 = c2 + c3
dp = [[[0.0] * (c3 + 1) for _ in range(c2 + c3 + 1)] for _ in range(n + 2)]  # ←ここを0で初期化するとTLE
 
for k in range(1, n + 1):
    still = n / k
    for a1 in range(k, max(-1, 2 * k - total - 1, k - c23 - 1), -1):
        dpap, dpac, dpan = dp[a1 - 1], dp[a1], dp[a1 + 1]
        for a2 in range(min(k - a1, c2 + c3), max(-1, 3 * k - 2 * a1 - total - 1, k - a1 - c3 - 1), -1):
            a3 = k - a1 - a2
            tmp = 0
            if a1:
                tmp += dpap[a2][a3] * a1
            if a2:
                tmp += dpan[a2 - 1][a3] * a2
            if a3:
                tmp += dpac[a2 + 1][a3 - 1] * a3
            dpac[a2][a3] = tmp / k + still
print(dp[c1][c2][c3])
Buggy python submission (verdict: Time Limit Exceeded):
import sys
input=sys.stdin.readline
def chmax(a,b):
    if a>=b:
        return a
    return b
def chmin(a,b):
    if a<=b:
        return a
    return b
def main():
    N=int(input())
    a=list(map(int,input().split()))
    dp=[[0]*(N+2) for _ in range(N+2)]
    for len in range(1,N+1):
        for i in range(N+1-len):
            j=i+len
            if (N-len)%2==0:
                dp[i][j]=chmax(dp[i+1][j]+a[i],dp[i][j-1]+a[j-1])
            else:
                dp[i][j]=chmin(dp[i+1][j]-a[i],dp[i][j-1]-a[j-1])
    print(dp[0][N])
main()

Fixed submission:
import sys
input=sys.stdin.readline
def chmax(a,b):
    if a>=b:
        return a
    return b
def chmin(a,b):
    if a<=b:
        return a
    return b
def main():
    N=int(input())
    a=list(map(int,input().split()))
    dp=[[0]*(N+2) for _ in range(N+2)]
    for len in range(1,N+1):
        for i in range(N+1-len):
            j=i+len
            if (N-len)%2==0:
                dp[i][j]=chmax(dp[i+1][j]+a[i],dp[i][j-1]+a[j-1])
            else:
                dp[i][j]=chmin(dp[i+1][j]-a[i],dp[i][j-1]-a[j-1])
    print(dp[0][N])
main()
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import accumulate
n=int(input())
acc=[0]+list(accumulate(map(int,input().split())))
dp=[[0]*(n+1) for _ in range(n)]
for w in range(2,n+1):
    for l in range(n-w+1):
        r=l+w
        dp[l][r]=min(dp[l][m]+dp[m][r] for m in range(l+1,r))+acc[r]-acc[l]
print(dp[0][n])

Fixed submission:
from itertools import accumulate
 
n = int(input())
acc = [0] + list(accumulate(map(int, input().split())))
dp = [[0] * (n + 1) for _ in range(n)]
for w in range(2, n + 1):
    for l in range(n - w + 1):
        r = l + w
        dp[l][r] = min(dp[l][m] + dp[m][r] for m in range(l + 1, r)) + acc[r] - acc[l]
print(dp[0][n])
Buggy python submission (verdict: Runtime Error):
def is_prime(n):
    if n == 1: return False

    for k in range(2, int(math.sqrt(n)) + 1):
        if n % k == 0:
            return False

    return True
s=[]
n=int(input())
for i in range(2,55555):
    if is_prime(i)==True:
        if i%5==1:
            s.append(i)
print(' '.join(map(str, s[:n])))

Fixed submission:
import math
def is_prime(n):
    if n == 1: return False

    for k in range(2, int(math.sqrt(n)) + 1):
        if n % k == 0:
            return False

    return True
s=[]
n=int(input())
for i in range(2,55555):
    if is_prime(i)==True:
        if i%5==1:
            s.append(i)
print(' '.join(map(str, s[:n])))
Buggy python submission (verdict: Runtime Error):
n=int(input())
s=['M','A','R','C','H']
for i in range(n):
    i=input()
    s.append(i[0])

import collections
c = collections.Counter(s)
d=['M','A','R','C','H']
ans=0
for i in range(n-2):
    for j in range(i+1,n-1):
        for k in range(j+1,n):
            ans+=(c[d[i]]-1)*(c[d[j]]-1)*(c[d[k]]-1)
print(ans)

Fixed submission:
n=int(input())
s=['M','A','R','C','H']
for i in range(n):
    i=input()
    s.append(i[0])

import collections
c = collections.Counter(s)
d=['M','A','R','C','H']
ans=0
for i in range(3):
    for j in range(i+1,4):
        for k in range(j+1,5):
            ans+=(c[d[i]]-1)*(c[d[j]]-1)*(c[d[k]]-1)
print(ans)

Buggy python submission (verdict: Runtime Error):
n=int(input())
s=[]
for i in range(n):
    i=input()
    s.append(i[0])

import collections
c = collections.Counter(s)
d=['M','A','R','C','H']
ans=0
for i in range(n-2):
    for j in range(i+1,n-1):
        for k in range(j+1,n):
            ans+=c[d[i]]*c[d[j]]*c[d[k]]
print(ans)
            


Fixed submission:
n=int(input())
s=['M','A','R','C','H']
for i in range(n):
    i=input()
    s.append(i[0])

import collections
c = collections.Counter(s)
d=['M','A','R','C','H']
ans=0
for i in range(3):
    for j in range(i+1,4):
        for k in range(j+1,5):
            ans+=(c[d[i]]-1)*(c[d[j]]-1)*(c[d[k]]-1)
print(ans)
Buggy python submission (verdict: Runtime Error):
mport collections
c=Counter()
N=input()
for i in range(N):
    c[input()]+=1
d=list(filter(lambda x:c[x]%2==1,c))
print(len(d))

Fixed submission:
import collections
c=collections.Counter()
N=int(input())
for i in range(N):
    c[int(input())]+=1
d=list(filter(lambda x:c[x]%2==1,c))
print(len(d))

Buggy python submission (verdict: Runtime Error):
import collections
c=Counter()
N=int(input())
for i in range(N):
    c[int(input())]+=1
d=list(filter(lambda x:c[x]%2==1,c))
print(len(d))

Fixed submission:
import collections
c=collections.Counter()
N=int(input())
for i in range(N):
    c[int(input())]+=1
d=list(filter(lambda x:c[x]%2==1,c))
print(len(d))
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import permutations
n,m,r=map(int,input().split())
R=list(map(int,input().split()))
l=[[float('inf')]*n for _ in range(n)]
for _ in range(m):
    a,b,c,=map(int,input().split())
    a-=1
    b-=1
    l[a][b]=c
    l[b][a]=c
for i in range(n):
    l[i][i] = 0 #自身のところに行くコストは０
def warshall_floyd(d):
    for k in range(n):
        for i in range(n):
            for j in range(n):
                d[i][j]=min(d[i][j],d[i][k]+d[k][j])
                
    return d
F=warshall_floyd(l)
ans=float('inf')
for v in permutations(R):
    temp=0
    for i in range(r-1):
        temp+=F[v[i]-1][v[i+1]-1]
    ans=min(ans,temp)
print(int(ans))

Fixed submission:
from itertools import permutations as p
 
from scipy.sparse.csgraph import floyd_warshall
 
n, m, r = map(int, input().split())
R = list(map(int, input().split()))
l = [[0]*n for _ in range(n)]
for _ in range(m):
    a, b, c = map(int, input().split())
    a -= 1
    b -= 1
    l[a][b] = c
    l[b][a] = c
F = floyd_warshall(l)
 
ans = float("inf")
for v in p(R):
    temp = 0
    for i in range(r-1):
        temp += F[v[i]-1][v[i+1]-1]
    ans = min(ans, temp)
print(int(ans))
Buggy python submission (verdict: Runtime Error):
ans1=sum(1 for x in array[:-1]if x>0)
ans=8-array.count(0)
if array[8]==0:
    ans+=1
else:
    ans+=array[8]
    if ans>8:
        ans=8
if ans1==0:
    ans1+=1

print(ans1,ans)

    
    

Fixed submission:
N=int(input())
A=[int(x)for x in input().split()]
array=[0]*9
def wake(x):
    if x<3200:
        array[x//400]+=1
    else:
        array[8]+=1
    return
for i in A:
    wake(i)
ans1=sum(1 for x in array[:-1]if x>0)
ans=8-array.count(0)
if array[8]==0:
    ans+=1
else:
    ans+=array[8]

if ans1==0:
    ans1+=1

print(ans1,ans)
Buggy python submission (verdict: Runtime Error):
N=int(input())
n=len(str(N))
m=(n//2)
def wari(x):
    array=[]
    if m==0:
        for j in range(9,0,-1):
            if N%j==0:
                c=max(len(str(N//j)),len(str(j)))
                array.append(c)
                break
        
    for i in range(m+1):
        if i==0:
            for j in range(9,0,-1):
                if N%j==0:
                    c=max(len(str(N//j)),len(str(j)))
                    array.append(c)
                    break
        else:
            for j in range((10**(i+1))-1,(10**i)-1,-1):
                if N%j==0:
                    c=max(len(str(N//j)),len(str(j)))
                    array.append(c)
                    break
    return min(array)
print(wari(N))

Fixed submission:
A,B=map(int,input().split())
print((A+B)%24)
Buggy python submission (verdict: Runtime Error):
N=int(input())
n=len(str(N))
m=(n//2)
def wari(x):
    array=[]
    for i in range(m):
        if i==0:
            for j in range(9,0,-1):
                if N%j==0:
                    c=max(len(str(N//j)),len(str(j)))
                    array.append(c)
                    break
        else:
            for j in range((10**(m+1))-1,(10**m)-1,-1):
                if N%j==0:
                    c=max(len(str(N//j)),len(str(j)))
                    array.append(c)
                    break
    return min(array)
print(wari(N))
        

Fixed submission:
N=int(input())
n=len(str(N))
m=(n//2)
def wari(x):
    array=[]
    if m==0:
        for j in range(9,0,-1):
            if N%j==0:
                c=max(len(str(N//j)),len(str(j)))
                array.append(c)
                break
        
    for i in range(m+1):
        if i==0:
            for j in range(9,0,-1):
                if N%j==0:
                    c=max(len(str(N//j)),len(str(j)))
                    array.append(c)
                    break
        else:
            for j in range((10**(i+1))-1,(10**i)-1,-1):
                if N%j==0:
                    c=max(len(str(N//j)),len(str(j)))
                    array.append(c)
                    break
    return min(array)
print(wari(N))
Buggy python submission (verdict: Runtime Error):
n=int(input())
array=[]
for i in range(2,n+1):
    s=i
    while s!=1:
        turn=0
        for j in range(2,s+1):
            if s%j==0:
                s=s//j
                array.append(j)
                break
ans=1
import collections
c=collections.Counter(array)
l=list(c.values())
print(l)
for i in range(len(l)):
    ans*=l[i]+1
print(ans%(10**9+7))
 

Fixed submission:
A,B,C,D=map(int,input().split())
print(max(A*B,C*D))