Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import math
K=int(input())
ans=0

for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            ans += math.gcd(math.gcd(i,j),k)
print(ans)

Fixed submission:
from math import gcd
K=int(input())
ans=0

for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            ans += gcd(gcd(i,j),k)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import math
K=int(input())
ans=0

for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            a=math.gcd(i,j)
            b=math.gcd(a,k)
            ans +=b
print(ans)

Fixed submission:
from math import gcd
K=int(input())
ans=0

for i in range(1,K+1):
    for j in range(1,K+1):
        for k in range(1,K+1):
            ans += gcd(gcd(i,j),k)
print(ans)
Buggy python submission (verdict: Runtime Error):
n,a,b= map(int,input().split())
ans = (n//(a+b))*a
rem += (n%(a+b))
ans = min(rem,a)
print(ans)

Fixed submission:
n,a,b= map(int,input().split())
ans = (n//(a+b))*a
rem = (n%(a+b))
ans += min(rem,a)
print(ans)
Buggy python submission (verdict: Runtime Error):
import sys
readline = sys.stdin.readline
read = sys.stdin.read
n,a,b = [int(i) for i in read().split()]
MOD = 10**9+7
ans = pow(2,n,MOD)-1

def choose(n,r):
    res = 1
    fac = 1
    for i in range(r):
        res *= n-i
        res %= MOD
        fac *= i+1
        fac %= MOD
    return res*pow(fac,MOD-2,MOD)%MOD        

  ans -= choose(n,a)
ans -= choose(n,b)
print(ans%MOD)

Fixed submission:
import sys
readline = sys.stdin.readline
read = sys.stdin.read
n,a,b = [int(i) for i in read().split()]

MOD = 10**9+7
ans = pow(2,n,MOD)-1

# 全部の場合から、aとbの場合を引き算する
def choose(n,r):
    res = 1
    fac = 1
    for i in range(r):
        res *= n-i
        res %= MOD
        fac *= i+1
        fac %= MOD
    return res*pow(fac,MOD-2,MOD)%MOD        

ans -= choose(n,a)
ans -= choose(n,b)
print(ans%MOD)
Buggy python submission (verdict: Runtime Error):
s,t=input().split()  
a,b= map(int,input().split())
u=input()

if s==u:
    a -=1
else:
    b -=1
print(str(a)+" "+str(b)

Fixed submission:
s,t=input().split()  
a,b= map(int,input().split())
u=input()

if s==u:
    a =a-1
else:
    b =b-1
print(str(a)+" "+str(b))
Buggy python submission (verdict: Runtime Error):
import math
a,b=map(int, input().split())

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

print(lcm(a, b))

Fixed submission:
import fractions 
a,b=map(int, input().split())

def lcm(x, y):
    return (x * y) // fractions.gcd(x, y)

print(lcm(a, b))

Buggy python submission (verdict: Runtime Error):
import math
a,b=map(int, input().split())

print(int((a * b)/math.gcd(a,b)))

Fixed submission:
import fractions 
a,b=map(int, input().split())

def lcm(x, y):
    return (x * y) // fractions.gcd(x, y)

print(lcm(a, b))
Buggy python submission (verdict: Time Limit Exceeded):
N, K, Q = map(int, input().split()) 
Alist =  [int(input()) for i in range(Q)] 
ans = 0

# Aiの最終得点は　K+(正解数)-Q
for i in range(1,N+1):
    if K+Alist.count(i)-Q > 0 :
        print('Yes') 
    else :
        print('No')

Fixed submission:
from collections import Counter
 
N, K, Q = list(map(int, input().split()))
Alist = [int(input()) for i in range(Q)] 
cnt = Counter(Alist)
 
for i in range(1, N + 1):
    print('Yes' if Q - cnt[i] < K else 'No')
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split()) 
Alist = list(map(int, input().split()))

# Alistの値段の高いモノから割引券を使った方がよい
while M > 0:
    max_index = Alist.index(max(Alist))
    Alist[max_index] = Alist[max_index]//2
    M = M - 1
print(sum(Alist))

Fixed submission:
import heapq
N, M = map(int, input().split())
Alist = list(map(lambda x: int(x) * (-1), input().split()))

heapq.heapify(Alist)
for _ in range(M):
    a = heapq.heappop(Alist) * (-1)
    a = a // 2
    heapq.heappush(Alist, a * (-1))

print(sum(Alist) * (-1))
Buggy python submission (verdict: Runtime Error):
# 解説動画から累積和ポイント。 
N,Q = map(int,input().split())
ABList = [list(map(int,list(input().split()))) for i in range(N-1)]  
PXList = [list(map(int,list(input().split()))) for i in range(Q)]  
 
# N+1 にしているのは、dfs関数でparentsを使う時に合わせるため 
graph=[[] for _ in range(N+1)]
values=[0]*(N+1)
 
for a,b in ABList:
    graph[a].append(b)
    graph[b].append(a)
    # aとbを入れ替えて
    # graphは例１の時、[[], [2], [1, 3, 4], [2], [2]] になる
    # 頂点がどことつながっているか 
for p,x in PXList:
    values[p]+=x
    # p をキーにしているのでNの昇順ｘにしている
    # 例１であれば[0, 100, 10, 1, 0]　累積和する前の値をもつ
 
def dfs(x,parent,add):
    # 累積和をvaluesに計算していく
    values[x]+=add
    for i in graph[x]:
        # continueはループの残りを飛ばして次の反復へ
        # 親と子判定
        if i==parent:
            continue
        dfs(i,x,values[x])
 
dfs(1,0,0)
 
print(' '.join(map(str,values[1:])))
# 難しい。graph[x]の使い方の理解がまだまだ

Fixed submission:
# 解説動画から累積和ポイント。 
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10 ** 7)
N,Q = map(int,input().split())
ABList = [list(map(int,list(input().split()))) for i in range(N-1)]  
PXList = [list(map(int,list(input().split()))) for i in range(Q)]  
 
# N+1 にしているのは、dfs関数でparentsを使う時に合わせるため 
graph=[[] for _ in range(N+1)]
values=[0]*(N+1)
 
for a,b in ABList:
    graph[a].append(b)
    graph[b].append(a)
    # aとbを入れ替えて
    # graphは例１の時、[[], [2], [1, 3, 4], [2], [2]] になる
    # 頂点がどことつながっているか 
for p,x in PXList:
    values[p]+=x
    # p をキーにしているのでNの昇順ｘにしている
    # 例１であれば[0, 100, 10, 1, 0]　累積和する前の値をもつ
 
def dfs(x,parent,add):
    # 累積和をvaluesに計算していく
    values[x]+=add
    for i in graph[x]:
        # continueはループの残りを飛ばして次の反復へ
        # 親と子判定
        if i==parent:
            continue
        dfs(i,x,values[x])
 
dfs(1,0,0)
 
print(' '.join(map(str,values[1:])))
# 難しい。graph[x]の使い方の理解がまだまだ
Buggy python submission (verdict: Runtime Error):
m,n=map(int,input().split())
par=[i for i in range(m)]
def find(x):
    if par[x] == x:
        return x
    else:
        par[x] = find(par[x]) #経路圧縮
        return par[x]
def same(x,y):
    return find(x) == find(y)
def unite(x,y):
    x = find(x)
    y = find(y)
    if x == y:
        return 0
    par[x] = y
for i in range(n):
    a,b=map(int,input().split())
    unite(a,b)

print(len(set(par))-1)

Fixed submission:
n,m=map(int,input().split())
par=[-1 for _ in range(n)]
def find(x):
    if par[x] < 0:
        return x
    else:
        par[x] = find(par[x]) #経路圧縮
        return par[x]

def unite(x,y):
    x = find(x)
    y = find(y)

    if x != y:
        x,y=y,x
    else:
        return
    par[x]+=par[y]

    par[y] = x
for _ in range(m):
    a,b=map(int,input().split())
    a-=1
    b-=1
    unite(a,b)

ans=0
for i in par:
    if i<0:
        ans+=1
print(ans-1)
Buggy python submission (verdict: Runtime Error):
n=int(input())
A=list(map(int,input().split()))
Ar=list(itertools.accumulate(A))
ans=0
for i in range(n-1):
    ans+=A[i]*(Ar[n-1]-Ar[i])
    ans%=10**9+7
print(ans)

Fixed submission:
import itertools
#h,w=map(int,input().split())
#S=[list(map(int,input().split())) for _ in range(h)]
n=int(input())
A=list(map(int,input().split()))
Ar=list(itertools.accumulate(A))
ans=0
for i in range(n-1):
    ans+=A[i]*(Ar[n-1]-Ar[i])
    ans%=10**9+7
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#d,t,s=map(int,input().split())
n=int(input())
A=list(map(int,input().split()))
ans=0
r=10**9+7
for i in range(n):
  for j in range(i+1,n):
    ans+=(A[i]*A[j])%r
    ans%=r
print(ans)

Fixed submission:
import itertools
#h,w=map(int,input().split())
#S=[list(map(int,input().split())) for _ in range(h)]
n=int(input())
A=list(map(int,input().split()))
Ar=list(itertools.accumulate(A))
ans=0
for i in range(n-1):
    ans+=A[i]*(Ar[n-1]-Ar[i])
    ans%=10**9+7
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#d,t,s=map(int,input().split())
n=int(input())
A=list(map(int,input().split()))
ans=0
for i in range(n):
  for j in range(i+1,n):
    ans+=(A[i]%(10**9+7))*(A[j]%(10**9+7))
    ans%=(10**9+7)
print(ans)

Fixed submission:
import itertools
#h,w=map(int,input().split())
#S=[list(map(int,input().split())) for _ in range(h)]
n=int(input())
A=list(map(int,input().split()))
Ar=list(itertools.accumulate(A))
ans=0
for i in range(n-1):
    ans+=A[i]*(Ar[n-1]-Ar[i])
    ans%=10**9+7
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#d,t,s=map(int,input().split())
n=int(input())
A=list(map(int,input().split()))
ans=0
for i in range(n):
  for j in range(i+1,n):
    ans+=A[i]*A[j]
    ans%=10**9+7
print(ans)

Fixed submission:
import itertools
#h,w=map(int,input().split())
#S=[list(map(int,input().split())) for _ in range(h)]
n=int(input())
A=list(map(int,input().split()))
Ar=list(itertools.accumulate(A))
ans=0
for i in range(n-1):
    ans+=A[i]*(Ar[n-1]-Ar[i])
    ans%=10**9+7
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#d,t,s=map(int,input().split())
n=int(input())
A=list(map(int,input().split()))
ans=0
for i in range(n):
  for j in range(i+1,n):
    ans+=(A[i]%(10**9+7))*(A[j]%(10**9+7))
    ans%=(10**9+7)
print(ans)

Fixed submission:
import itertools
#h,w=map(int,input().split())
#S=[list(map(int,input().split())) for _ in range(h)]
n=int(input())
A=list(map(int,input().split()))
Ar=list(itertools.accumulate(A))
ans=0
for i in range(n-1):
    ans+=A[i]*(Ar[n-1]-Ar[i])
    ans%=10**9+7
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#d,t,s=map(int,input().split())
n=int(input())
A=list(map(int,input().split()))
ans=0
for i in range(n):
  for j in range(i+1,n):
    ans+=(A[i]%(10**9+7))*(A[j]%(10**9+7))
print(ans%(10**9+7))

Fixed submission:
import itertools
#h,w=map(int,input().split())
#S=[list(map(int,input().split())) for _ in range(h)]
n=int(input())
A=list(map(int,input().split()))
Ar=list(itertools.accumulate(A))
ans=0
for i in range(n-1):
    ans+=A[i]*(Ar[n-1]-Ar[i])
    ans%=10**9+7
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
a=list(map(int,input().split()))

start=1
for i in range(k):
    start*=a[i]


for i in range(k,n):
    end=start*a[i]//a[i-k]

#    print(end,start)

    if end>start:
        print('Yes')
    else:
        print('No')
    start=end

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


for i in range(k,n):



    if a[i]>a[i-k]:
        print('Yes')
    else:
        print('No')

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

for i in range(n-k):
    cntp=1
    cnt=1
    for j in range(k+1):
        if j!=k:
            cntp*=a[i+j]
        if j!=0:
            cnt*=a[i+j]
#        print(cnt,cntp)
    if cnt>cntp:
        print('Yes')
    else:
        print('No')


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


for i in range(k,n):



    if a[i]>a[i-k]:
        print('Yes')
    else:
        print('No')
Buggy python submission (verdict: Time Limit Exceeded):
k=int(input())
import fractions
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        an=fractions.gcd(i,j)
        for s in range(1,k+1):
            anse=fractions.gcd(s,an)
            ans+=anse
print(ans)

Fixed submission:
k=int(input())
from math import gcd
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for s in range(1,k+1):
            ans+=gcd(gcd(i,j),s)
print(ans)

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

ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        an=fractions.gcd(i,j)
        for s in range(1,k+1):
            anse=fractions.gcd(s,an)
            ans+=anse
print(ans)

Fixed submission:
k=int(input())
from math import gcd
ans=0
for i in range(1,k+1):
    for j in range(1,k+1):
        for s in range(1,k+1):
            ans+=gcd(gcd(i,j),s)
print(ans)
Buggy python submission (verdict: Runtime Error):
l=int(input())
print(L**3/27)

Fixed submission:
l=int(input())
print(l**3/27)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
P=list(map(int,input().split()))
ans=0
for i in range(n):
    Pl=sorted(P[:i+1])
    if Pl[0]==P[i]:
        ans+=1
print(ans)


Fixed submission:
n=int(input())
P=list(map(int,input().split()))
ans=0
minp=n+1
for i in range(n):
    minp=min(minp,P[i])
    if minp==P[i]:
        ans+=1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque
n=int(input())
A=list(map(int,input().split()))
ans=deque()
for i in range(n):
  ans.append(1+A.index(i+1))
print(*ans)

Fixed submission:

n=int(input())
A=list(map(int,input().split()))
ans=[0]*n
for i in range(n):
  ans[A[i]-1]=i+1
print(*ans)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
A=list(map(int,input().split()))
ans=[]
for i in range(n):
  ans.append(1+A.index(i+1))
print(*ans)

Fixed submission:

n=int(input())
A=list(map(int,input().split()))
ans=[0]*n
for i in range(n):
  ans[A[i]-1]=i+1
print(*ans)
Buggy python submission (verdict: Time Limit Exceeded):
n,k,q=map(int, input().split()) #a1 a2 a3
ans = [int(input()) for i in range(q)]

mem=[k]*n

for a in ans:
  mem=[mem[i]-1 for i in range(n)]
  mem[a-1]+=1

for m in mem:
  print('Yes' if m>0 else 'No' )


Fixed submission:
n,k,q=map(int, input().split()) #a1 a2 a3
ans = [int(input()) for i in range(q)]

mem=[0]*n

for a in ans:
  mem[a-1]+=1


print("\n".join("Yes" if k-q+m>0 else "No" for m in mem))

Buggy python submission (verdict: Time Limit Exceeded):
n,k,q=map(int, input().split()) #a1 a2 a3
ans = [int(input()) for i in range(q)]

mem=[k]*n

for a in ans:
  mem=[mem[i]-1 for i in range(n)]
  mem[a-1]+=1

for m in mem:
  print('Yes' if m>0 else 'No' )

Fixed submission:
n,k,q=map(int, input().split()) #a1 a2 a3
ans = [int(input()) for i in range(q)]

mem=[0]*n

for a in ans:
  mem[a-1]+=1


print("\n".join("Yes" if k-q+m>0 else "No" for m in mem))
Buggy python submission (verdict: Runtime Error):
import math
n=int(input())
l=[input() for i in range(5)]
print(math.ceil(n/min(l))+4)

Fixed submission:
import math
n=int(input())
l=[int(input()) for i in range(5)]
print(math.ceil(n/min(l))+4)
Buggy python submission (verdict: Runtime Error):
n,m = map(int,input().split())

s=[list(str(input())) for _ in range(n)]

di=[1,-1,0,0]
dj=[0,0,1,-1]
for i in range(1,n-1):
    for j in range(1,m-1):
        if s[i][j]=='#':
            found=False
            for k in range(4):
                i2=i+di[k]
                j2=j+dj[k]
                if 0<=i2 and i2<n and 0<=j2 and j2<m:
                    if s[i2][j2]=='#':
                        found=True
            if not found:
                print('No')
                sys.exit()

print('Yes')

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

s=[list(str(input())) for _ in range(n)]

di=[1,-1,0,0]
dj=[0,0,1,-1]
for i in range(n):
    for j in range(m):
        if s[i][j]=='#':
            found=False
            for k in range(4):
                i2=i+di[k]
                j2=j+dj[k]
                if 0<=i2 and i2<n and 0<=j2 and j2<m:
                    if s[i2][j2]=='#':
                        found=True
            if not found:
                print('No')
                exit()

print('Yes')

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

s=[list(str(input())) for _ in range(n)]

ans=True
di=[1,-1,0,0]
dj=[0,0,1,-1]
for i in range(n):
    for j in range(m):
        if s[i][j]=='#':
            found=False
            for k in range(4):
                i2=i+di[k]
                j2=j+dj[k]
                if 0<=i2 and i2<n and 0<=j2 and j2<m:
                    if s[i2][j2]=='#':
                        found=True
            if not found:
                print('No')
                sys.exit()

print('Yes')

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

s=[list(str(input())) for _ in range(n)]

di=[1,-1,0,0]
dj=[0,0,1,-1]
for i in range(n):
    for j in range(m):
        if s[i][j]=='#':
            found=False
            for k in range(4):
                i2=i+di[k]
                j2=j+dj[k]
                if 0<=i2 and i2<n and 0<=j2 and j2<m:
                    if s[i2][j2]=='#':
                        found=True
            if not found:
                print('No')
                exit()

print('Yes')
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
ans=0
for i in range(1,n+1):
  sa=list(str(i))
  nums=map(int,sa)
  sumj=sum(nums)
  
  ans=max(ans,sumj)
print(ans)

Fixed submission:
n=str(input())
cn=sum(map(int,list(n)))

k=len(n)
c=int(n[0])
n=int(n)
if cn==(c+9*(k-1)):
  print(c+9*(k-1))
else:
  print(c+9*(k-1)-1)

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
ans=0
for i in range(1,n+1):
  sa=list(str(i))
  sumj=0
  for j in sa:
    sumj+=int(j)
  ans=max(ans,sumj)
print(ans)

Fixed submission:
n=str(input())
cn=sum(map(int,list(n)))

k=len(n)
c=int(n[0])
n=int(n)
if cn==(c+9*(k-1)):
  print(c+9*(k-1))
else:
  print(c+9*(k-1)-1)
Buggy python submission (verdict: Runtime Error):
#Nはノード数、Mはエッジ数
n,m = map(int, input().split())

ab = [list(map(int, input().split())) for i in range(m)]

cnt=0

for x in ab:
  ls=list(range(n))
  for y in ab:
    if y !=x:
      for i in range(n)
        ls=[ls[y[0]-1] if ls[i]==ls[y[1]-1] else ls[i] for i in range(n)] #bの値を根っこ（低い方a）にする
  if len(set(ls)) !=1:
    cnt+=1

print(cnt)

Fixed submission:
#Nはノード数、Mはエッジ数
n,m = map(int, input().split())

ab = [list(map(int, input().split())) for i in range(m)]

cnt=0

for x in ab:
  ls=list(range(n))
  for y in ab:
    if y !=x:
      for i in range(n):
        ls=[ls[y[0]-1] if ls[i]==ls[y[1]-1] else ls[i] for i in range(n)] #bの値を根っこ（低い方a）にする
  if len(set(ls)) !=1:
    cnt+=1

print(cnt)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
n=int(input()) #　a1
lap = [int(input()) for i in range(n)]


ppsum=[]

def delap(ap,psum):
  if len(ap)==0:
    print(len(psum))
    sys.exit(0)
  a=ap[0]

  if ap.count(a)%2 != 0:
    psum.append(a)

  ap=[i for i in ap if i!=a  ]
  delap(ap,psum)

delap(lap,ppsum)

Fixed submission:
n=int(input()) #　a1
s=set()
for i in range(n):
  s^={input()}
print(len(s))

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input()) #　a1
ap = [int(input()) for i in range(n)]

psum=[]

for a in ap:
  if ap.count(a)%2==0:
    ap.remove(a)
  else:
    psum.append(a)

print(len(psum))

Fixed submission:
n=int(input()) #　a1
s=set()
for i in range(n):
  s^={input()}
print(len(s))

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input()) #　a1
ap = [int(input()) for i in range(n)]

psum=[]

for a in ap:
  if a in psum:
    psum.remove(a)
  else:
    psum.append(a)

print(len(psum))

Fixed submission:
n=int(input()) #　a1
s=set()
for i in range(n):
  s^={input()}
print(len(s))

Buggy python submission (verdict: Time Limit Exceeded):
n=int(input()) #　a1
ap = [int(input()) for i in range(n)]

psum=[]

for a in ap:
  if a in psum:
    psum.remove(a)
  else:
    psum.append(a)

print(len(psum))

Fixed submission:
n=int(input()) #　a1
s=set()
for i in range(n):
  s^={input()}
print(len(s))
Buggy python submission (verdict: Runtime Error):
import sys
n,k=map(int, input().split()) #a1 a2 a3

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

i=0

while k>0:
  k-=com[i][1]
  i+=1

print(com[~i][0]) #~i -i-1


Fixed submission:
n,k=map(int,input().split());i=0;a=sorted(list(map(int,input().split()))for _ in[0]*n)
while k>0:k-=a[i][1];i+=1
print(a[~-i][0])

Buggy python submission (verdict: Runtime Error):
import sys
n,k=map(int, input().split()) #a1 a2 a3

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

i=0

while k>0:
  k-=com[i][0]
  i+=1

print(com[~i][0]) #~i -i-1

Fixed submission:
n,k=map(int,input().split());i=0;a=sorted(list(map(int,input().split()))for _ in[0]*n)
while k>0:k-=a[i][1];i+=1
print(a[~-i][0])
Buggy python submission (verdict: Time Limit Exceeded):

n=int(input())
ans=1
for i in range(1,n+1):
  ans*=i
print(ans%(10**9+7))

Fixed submission:
n=int(input())
ans=1
for i in range(1,n+1):
  ans*=i
  ans%=10**9+7
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):

n=int(input())
ans=1
for i in range(1,n+1):
  ans*=i
print(ans%(10**9+7))

Fixed submission:
n=int(input())
ans=1
for i in range(1,n+1):
  ans*=i
  ans%=10**9+7
print(ans)
Buggy python submission (verdict: Runtime Error):
sx,sy,tx,ty=map(int, input().split()) #a1 a2 a3

m1=(tx-sx)*"R"+(ty-sy)*"U"
m2=(tx-sx)*"L"+(ty-sy)+"D"


print(m1+m2+"DR"+a+"ULUL"+m2+"DR")


Fixed submission:
sx,sy,tx,ty=map(int, input().split()) #a1 a2 a3

m1=(tx-sx)*"R"+(ty-sy)*"U"
m2=(tx-sx)*"L"+(ty-sy)*"D"


print(m1+m2+"DR"+m1+"ULUL"+m2+"DR")
Buggy python submission (verdict: Runtime Error):
s=list(str(input()))

ans=[]
for i in s:
  if i=='1':
    ans.append('1')
  elif i=='0':
    ans.append(0,'0')
  else:
    if ans:
      ans.pop(-1)
    else:
      continue

print(''.join(ans))

Fixed submission:
s=list(str(input()))

ans=[]
for i in s:
  if i=='1':
    ans.append('1')
  elif i=='0':
    ans.append('0')
  else:
    if ans:
      ans.pop(-1)
    else:
      continue

print(''.join(ans))

Buggy python submission (verdict: Runtime Error):
s=list(str(input()))

ans=[]
for i in s:
  if i=='1':
    ans.append('1')
  elif i=='0':
    ans.insert(0,'0')
  else:
    ans.pop(-1)

print(''.join(ans))

Fixed submission:
s=list(str(input()))

ans=[]
for i in s:
  if i=='1':
    ans.append('1')
  elif i=='0':
    ans.append('0')
  else:
    if ans:
      ans.pop(-1)
    else:
      continue

print(''.join(ans))
Buggy python submission (verdict: Runtime Error):
n,l=map(int, input().split()) #a1 a2 a3
s = [i for i in range(n)] 

s.sort()


print(''.join(s))

Fixed submission:
n,l=map(int, input().split()) #a1 a2 a3

s = [input() for i in range(n)] 

s.sort()


print(''.join(s))

Buggy python submission (verdict: Runtime Error):
n,l=map(int, input().split()) #a1 a2 a3
s = [i for i in range(q)] 

s.sort()

print(''.join(s))

Fixed submission:
n,l=map(int, input().split()) #a1 a2 a3

s = [input() for i in range(n)] 

s.sort()


print(''.join(s))
Buggy python submission (verdict: Runtime Error):
from sys import exit
from math import gcd
n = int(input())
a = list(map(int, input().split()))
g = gcd(a[0], a[1])
for i in range(2, n):
	g = gcd(g, a[i])
if g > 1:
	print("not coprime")
	exit()

MAX = 32
nxt = [i for i in range(MAX)]
for i in range(2, MAX):
	if nxt[i] < i:
		continue
	for j in range(i, MAX, i):
		nxt[j] = min(nxt[j], i)

fac = set()
ok = True
for x in a:
	tmp = set()
	while x > 1:
		tmp.add(nxt[x])
		x //= nxt[x]
	for p in tmp:
		if p in fac:
			ok = False
			break
		fac.add(p)
	if not ok:
		break
print("pairwise coprime" if ok else "setwise coprime")

Fixed submission:
from sys import exit
from math import gcd
n = int(input())
a = list(map(int, input().split()))
g = gcd(a[0], a[1])
for i in range(2, n):
	g = gcd(g, a[i])
if g > 1:
	print("not coprime")
	exit()

MAX = 1000001
nxt = [i for i in range(MAX)]
for i in range(2, MAX):
	if nxt[i] < i:
		continue
	for j in range(i, MAX, i):
		nxt[j] = min(nxt[j], i)

fac = set()
ok = True
for x in a:
	tmp = set()
	while x > 1:
		tmp.add(nxt[x])
		x //= nxt[x]
	for p in tmp:
		if p in fac:
			ok = False
			break
		fac.add(p)
	if not ok:
		break
print("pairwise coprime" if ok else "setwise coprime")