Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
def pow(x, n):
    ans = 1
    while n:
        if n%2:
            ans*=x
        x*=x
        n>>=1
    return ans
n,p=map(int,input().split())
if n==1:
	print(p)
	exit()
ans=1
for i in range(2,int(p**0.5)+2):
	if p<pow(i,n):
		break
	while p%(pow(i,n))==0:
		if p%(pow(i,n))==0:
			ans*=i
			p//=(pow(i,n))
print(ans)
	



Fixed submission:

n,p=map(int,input().split())
ans=[]
for i in range(2,int(p**0.5)+1):
	cnt=0
	while p%i==0:
		p//=i
		cnt+=1
	if cnt>0:
		ans.append([i,cnt])
ans.append([p,1])
ret=1
for i in range(len(ans)):
	ret*=pow(ans[i][0],(ans[i][1]//n))
print(ret)

Buggy python submission (verdict: Runtime Error):
n,p=map(int,input().split())
if n==1:
	print(p)
	exit()
ans=1
for i in range(2,int(p**0.5)+2):
	if p<pow(i,n):
		break
	while p%(pow(i,n))==0:
		if p%(pow(i,n))==0:
			ans*=i
			p//=(pow(i,n))
print(ans)

Fixed submission:

n,p=map(int,input().split())
ans=[]
for i in range(2,int(p**0.5)+1):
	cnt=0
	while p%i==0:
		p//=i
		cnt+=1
	if cnt>0:
		ans.append([i,cnt])
ans.append([p,1])
ret=1
for i in range(len(ans)):
	ret*=pow(ans[i][0],(ans[i][1]//n))
print(ret)

Buggy python submission (verdict: Time Limit Exceeded):
n,p=map(int,input().split())
if n==1:
	print(p)
	exit()
ans=1
for i in range(2,int(p**0.5)+2):
	if p<pow(i,n):
		break
	while p%(pow(i,n))==0:
		if p%(pow(i,n))==0:
			ans*=i
			p//=(pow(i,n))
print(ans)

Fixed submission:

n,p=map(int,input().split())
ans=[]
for i in range(2,int(p**0.5)+1):
	cnt=0
	while p%i==0:
		p//=i
		cnt+=1
	if cnt>0:
		ans.append([i,cnt])
ans.append([p,1])
ret=1
for i in range(len(ans)):
	ret*=pow(ans[i][0],(ans[i][1]//n))
print(ret)

Buggy python submission (verdict: Runtime Error):
n,p=map(int,input().split())
if n==1:
	print(p)
	exit()
ans=1
for i in range(2,int(p**(1/n))+2):
	while p%(i**n)==0:
		if p%(i**n)==0:
			ans*=i
			p//=(i**n)
print(ans)


Fixed submission:

n,p=map(int,input().split())
ans=[]
for i in range(2,int(p**0.5)+1):
	cnt=0
	while p%i==0:
		p//=i
		cnt+=1
	if cnt>0:
		ans.append([i,cnt])
ans.append([p,1])
ret=1
for i in range(len(ans)):
	ret*=pow(ans[i][0],(ans[i][1]//n))
print(ret)

Buggy python submission (verdict: Time Limit Exceeded):
n,p=map(int,input().split())
if n==1:
	print(p)
	exit()
ans=1
for i in range(2,int(p**(1/n))+2):
	while p%(i**n)==0:
		if p%(i**n)==0:
			ans*=i
			p//=(i**n)
print(ans)


Fixed submission:

n,p=map(int,input().split())
ans=[]
for i in range(2,int(p**0.5)+1):
	cnt=0
	while p%i==0:
		p//=i
		cnt+=1
	if cnt>0:
		ans.append([i,cnt])
ans.append([p,1])
ret=1
for i in range(len(ans)):
	ret*=pow(ans[i][0],(ans[i][1]//n))
print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
def main():
	n,k=map(int,input().split())
	a=[0]+list(map(int,input().split()))
	p=[]
	for i in range(n):
		a[i+1]+=a[i]
	for i in range(n+1):
		for j in range(i):
			p.append(a[i]-a[j])
	ans=0
	from math import log,ceil
	r=ceil(log(sum(p))+10**-3)
	for i in range(r+2,-1,-1):
		cnt=0
		for j in range(len(p)):
			if (ans+2**i)&p[j]==ans+2**i:
				cnt+=1
				if cnt==k:
					break
		if cnt==k:
			ans+=2**i
	print(ans)
if __name__ == '__main__':
	main()

Fixed submission:
n,k=map(int,input().split())
a=[0]+list(map(int,input().split()))
p=[]
for i in range(n):
	a[i+1]+=a[i]
for i in range(n+1):
	for j in range(i):
		p.append(a[i]-a[j])
p.sort(reverse=True)
ans=0
from math import log,ceil
r=ceil(log(sum(p))+10**-3)
for i in range(r+3,-1,-1):
	cnt=0
	for j in range(len(p)):
		if (ans+2**i)&p[j]==ans+2**i:
			cnt+=1
		if cnt==k:
			break
	if cnt==k:
		ans+=2**i
print(ans)
Buggy python submission (verdict: Runtime Error):
x=[]
y=[]
for i in range(10**5//2+1):
	x.append([i,0])
	y.append([i,0])
n=int(input())
a=list(map(int,input().split()))
for i in range(n//2):
	x[a[i*2]][1]+=1
	y[a[i*2+1]][1]+=1
x.sort(key=lambda x:-x[1])
y.sort(key=lambda x:-x[1])
# if x[0][0]!=y[0][0]:
# 	print(n-x[0][1]-y[0][1])
# else:
# 	print(n-max(x[0][1]+y[1][1],
# 		x[1][1]+y[0][1]))
print(1)

Fixed submission:
x=[]
y=[]
n=int(input())
a=list(map(int,input().split()))
for i in range(10**5+1):
	x.append([i,0])
	y.append([i,0])
for i in range(n//2):
	x[a[i*2]][1]+=1
	y[a[i*2+1]][1]+=1
x.sort(key=lambda x:-x[1])
y.sort(key=lambda x:-x[1])
if x[0][0]!=y[0][0]:
	print(n-x[0][1]-y[0][1])
else:
	print(n-max(x[0][1]+y[1][1],
		x[1][1]+y[0][1]))

Buggy python submission (verdict: Runtime Error):
x=[]
y=[]
for i in range(10**5//2+1):
	x.append([i,0])
	y.append([i,0])
n=int(input())
a=list(map(int,input().split()))
for i in range(n//2):
	x[a[i*2]][1]+=1
	y[a[i*2+1]][1]+=1
x.sort(key=lambda x:-x[1])
y.sort(key=lambda x:-x[1])
if x[0][0]!=y[0][0]:
	print(n-x[0][1]-y[0][1])
else:
	print(n-max(x[0][1]+y[1][1],
		x[1][1]+y[0][1]))

Fixed submission:
x=[]
y=[]
n=int(input())
a=list(map(int,input().split()))
for i in range(10**5+1):
	x.append([i,0])
	y.append([i,0])
for i in range(n//2):
	x[a[i*2]][1]+=1
	y[a[i*2+1]][1]+=1
x.sort(key=lambda x:-x[1])
y.sort(key=lambda x:-x[1])
if x[0][0]!=y[0][0]:
	print(n-x[0][1]-y[0][1])
else:
	print(n-max(x[0][1]+y[1][1],
		x[1][1]+y[0][1]))
Buggy python submission (verdict: Runtime Error):
mod=10**9+7
dic={}
def ADD(x):
	if x in dic:
		dic[x]+=1
	else:
		dic[x]=1
n,m=map(int,input().split())
for i in range(2,int(m**0.5+2)):
	while m%i==0:
		ADD(i)
		m//=i
if m>1:
	ADD(m)
dic=tuple(dic.values())
ans=1
fac=[1]
for i in range(n+max(dic)+2):
	fac.append(fac[-1]*(i+1)%mod)
def c(a,b):
	r=pow(fac[b]*fac[a-b]%mod,mod-2,mod)
	return fac[a]*r%mod
for x in dic:
	ans*=c(x+n-1,x)
	ans%=mod
print(ans)


Fixed submission:
mod=10**9+7
dic={}
def ADD(x):
	if x in dic:
		dic[x]+=1
	else:
		dic[x]=1
n,m=map(int,input().split())
for i in range(2,int(m**0.5+2)):
	while m%i==0:
		ADD(i)
		m//=i
if m>1:
	ADD(m)
dic=tuple(dic.values())
ans=1
fac=[1]
for i in range(10**6):
	fac.append(fac[-1]*(i+1)%mod)
def c(a,b):
	r=pow(fac[b]*fac[a-b]%mod,mod-2,mod)
	return fac[a]*r%mod
for x in dic:
	ans*=c(x+n-1,x)
	ans%=mod
print(ans)

Buggy python submission (verdict: Runtime Error):
mod=10**9+7
dic={}
def ADD(x):
	if x in dic:
		dic[x]+=1
	else:
		dic[x]=1
n,m=map(int,input().split())
for i in range(2,int(m**0.5+2)):
	while m%i==0:
		ADD(i)
		m//=i
if m>1:
	ADD(m)
dic=tuple(dic.values())
ans=1
fac=[1]
for i in range(2*n+2):
	fac.append(fac[-1]*(i+1)%mod)
def c(a,b):
	r=pow(fac[b]*fac[a-b]%mod,mod-2,mod)
	return fac[a]*r%mod
for x in dic:
	ans*=c(x+n-1,x)
	ans%=mod
print(ans)



Fixed submission:
mod=10**9+7
dic={}
def ADD(x):
	if x in dic:
		dic[x]+=1
	else:
		dic[x]=1
n,m=map(int,input().split())
for i in range(2,int(m**0.5+2)):
	while m%i==0:
		ADD(i)
		m//=i
if m>1:
	ADD(m)
dic=tuple(dic.values())
ans=1
fac=[1]
for i in range(10**6):
	fac.append(fac[-1]*(i+1)%mod)
def c(a,b):
	r=pow(fac[b]*fac[a-b]%mod,mod-2,mod)
	return fac[a]*r%mod
for x in dic:
	ans*=c(x+n-1,x)
	ans%=mod
print(ans)
Buggy python submission (verdict: Runtime Error):
a,b=map(int,input().split())

if a % 2==1 and b % 2==1:
 print("Yes")
else: 
 print("No")​

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

if a % 2==1 and b % 2==1:
 print("Yes")
else: 
 print("No")
Buggy python submission (verdict: Runtime Error):
l=int(input())
for i in range(1,20):
	if 2**i>l:
		r=i-1
		break
ans=[]
for i in range(r):
	ans.append((i+1,i+2,0))
	ans.append((i+1,i+2,2**i))
now=2**r-1
for i in range(r,0,-1):
	if 2**(i-1)+now<=l-1:
		ans.append((i,r+1,now+1))
		now+=2**(i-1)
print(r+1,len(ans))
for x in ans:
	print(*x)

Fixed submission:
l=int(input())
for i in range(1,21):
	if 2**i>l:
		r=i-1
		break
ans=[]
for i in range(r):
	ans.append((i+1,i+2,0))
	ans.append((i+1,i+2,2**i))
now=2**r-1
for i in range(r,0,-1):
	if 2**(i-1)+now<=l-1:
		ans.append((i,r+1,now+1))
		now+=2**(i-1)
print(r+1,len(ans))
for x in ans:
	print(*x)
Buggy python submission (verdict: Runtime Error):

h,w=map(int,input().split())
a=[]
for i in range(h):
	d=input()
	if d.count("#")!=0:
		a.append(d)
ss=0
for i in range(w-ss-1):
	cnt=0
	for j in range(len(a)):
		if a[j][i]=="#":
			cnt+=1
	if cnt==0:
		for jj in range(len(a)):
			a[jj]=a[jj][:i]+a[jj][i+1:]
			ss+=1
for i in range(len(a)):
	print(a[i])


Fixed submission:
A=[]
h,w=map(int,input().split())
for i in range(h):
	s=input()
	if s.count("#")!=0:
		A.append(s)
B=[]
C=[]
for i in range(w):
	cnt=0
	for j in range(len(A)):
		if A[j][i]==".":
			cnt+=1
	if cnt==len(A):
		B.append(i)
for i in range(w):
	c=""
	for j in range(len(A)):
		if i not in B:
			c+=A[j][i]
	if len(c)>0:
		C.append(c)
for j in range(len(C[0])):
	p=""
	for i in range(len(C)):
		p+=C[i][j]
	print(p)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
input=sys.stdin.readline
n,m,q=map(int,input().split())
num=[[0]*(n+1) for _ in range(n+1)]
for i in range(m):
	l,r=map(int,input().split())
	num[l][r]+=1
for i in range(n):
	for j in range(n):
		num[i+1][j+1]+=num[i+1][j]
for i in range(q):
	p,q=map(int,input().split())
	ans=0
	for i in range(p,q+1):
		ans+=num[i][q]-num[i][p-1]
	print(ans)




Fixed submission:
import sys
input=sys.stdin.readline
n,m,q=map(int,input().split())
num=[[0]*(n+1) for _ in range(n+1)]
for i in range(m):
	l,r=map(int,input().split())
	num[l][r]+=1
for i in range(n):
	for j in range(n):
		num[i+1][j+1]+=num[i+1][j]
for i in range(q):
	p,q=map(int,input().split())
	ans=0
	for i in range(p,q+1):
		ans+=num[i][q]-num[i][p-1]
	print(ans)
Buggy python submission (verdict: Runtime Error):
a=int(input())

if a>= 1000:
 print("ABD"):
else:
 print("ABC")

Fixed submission:
a=int(input())

if a>= 1000:
 print("ABD")
else:
 print("ABC")
Buggy python submission (verdict: Runtime Error):
n=int(input())
import math
ans=10**40
for i in range(1,n//2+2):
	x=i
	y=n-i
	p=0
	for j in range((int(math.log(x,10)+10**-7)+1)):
		p+=x%10
		x=x//10
	for j in range((int(math.log(y,10)+10**-7)+1)):
		p+=y%10
		y=y//10
	ans=min(ans,p)
print(ans)



Fixed submission:
n=int(input())
import math
ans=10**40
for i in range(1,n//2+1):
	x=i
	y=n-i
	p=0
	for j in range((int(math.log(x,10)+10**-7)+1)):
		p+=x%10
		x=x//10
	for j in range((int(math.log(y,10)+10**-7)+1)):
		p+=y%10
		y=y//10
	ans=min(ans,p)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
r=max(a)
e=len(bin(r))-2
p=[[]for _ in range(n)]
for i in range(e):
	for j in range(n):
		p[j].append(a[j]%2)
		a[j]//=2
ans=0
cnt=[0]*e
j=0
for i in range(n):
	while 2 not in cnt and j<n:
		for k in range(e):
			cnt[k]+=p[j][k]
		j+=1
	if 2 not in cnt:
		ans+=1
	ans+=j-i-1
	for k in range(e):
		cnt[k]-=p[i][k]
print(ans)



Fixed submission:
n=int(input())
a=list(map(int,input().split()))
r=max(a)
e=len(bin(r))-2
p=[[]for _ in range(n)]
for i in range(e):
	for j in range(n):
		p[j].append(a[j]%2)
		a[j]//=2
ans=0
cnt=[0]*e
j=0
for i in range(n):
	while 2 not in cnt and j<n:
		for k in range(e):
			cnt[k]+=p[j][k]
		j+=1
	if 2 not in cnt:
		ans+=1
	ans+=j-i-1
	for k in range(e):
		cnt[k]-=p[i][k]
print(ans)
Buggy python submission (verdict: Runtime Error):

h,w=map(int,input().split())
a=["."*(w+2)]
for i in range(h):
	x=input()
	a.append("."+x+".")
a.append("."*(w+2)
for i in range(h):
	for j in range(w):
		if a[i+1][j+1]=="#":
			if a[i][j+1]=="#" or \
a[i+2][j+1]=="#" or a[i+1][j+2]=="#" or\
a[i+1][j]=="#":
				continue
			else:
				print("No")
				exit()
print("Yes")

Fixed submission:
h,w=map(int,input().split())
a=["."*(w+2)]
for i in range(h):
	x=input()
	a.append("."+x+".")
a.append("."*(w+2))
for i in range(h):
	for j in range(w):
		if a[i+1][j+1]=="#":
			if a[i][j+1]=="#" or \
a[i+2][j+1]=="#" or a[i+1][j+2]=="#" or\
a[i+1][j]=="#":
				continue
			else:
				print("No")
				exit()
print("Yes")

Buggy python submission (verdict: Runtime Error):
h,w=map(int,input().split())
a=["."*w]
for i in range(h):
	x=input()
	a.append("."+x+".")
a.append("."*w)
for i in range(h):
	for j in range(w):
		if a[i+1][j+1]=="#":
			if a[i][j+1]=="#" or \
a[i+2][j+1]=="#" or a[i+1][j+2]=="#" or\
a[i+1][j]=="#":
				continue
			else:
				print("No")
				exit()
print("Yes")

Fixed submission:
h,w=map(int,input().split())
a=["."*(w+2)]
for i in range(h):
	x=input()
	a.append("."+x+".")
a.append("."*(w+2))
for i in range(h):
	for j in range(w):
		if a[i+1][j+1]=="#":
			if a[i][j+1]=="#" or \
a[i+2][j+1]=="#" or a[i+1][j+2]=="#" or\
a[i+1][j]=="#":
				continue
			else:
				print("No")
				exit()
print("Yes")
Buggy python submission (verdict: Runtime Error):
s=input()
if len(s)==26:
	d=[]
	for i in range(26):
		if list(s[-i-1:][::-1])!=sorted(s[-i-1:]):
			for j in range(i+1):
				d.append(s[-j-1])
			d.sort()
			if d[0]==s[-i-1]:
				k=d[1]
			else:
				k=d[0]
				print(2/0)
			print(s[:-i-1]+k)
			exit()
	print(-1)
	exit()
d=[0]*26
for i in range(len(s)):
	d[ord(s[i])-ord("a")]+=1
for i in range(26):
	if d[i]==0:
		x=chr(ord("a")+i)
		break
print(s+x)

Fixed submission:
s=input()
if len(s)==26:
	d=[]
	for i in range(26):
		if list(s[-i-1:][::-1])!=sorted(s[-i-1:]):
			for j in range(i+1):
				d.append(s[-j-1])
			d.sort()
			if d[0]==s[-i-1]:
				k=d[1]
			else:
				for j in range(len(d)):
					if d[j]>s[-i-1]:
						k=d[j]
						break
			print(s[:-i-1]+k)
			exit()
	print(-1)
	exit()
d=[0]*26
for i in range(len(s)):
	d[ord(s[i])-ord("a")]+=1
for i in range(26):
	if d[i]==0:
		x=chr(ord("a")+i)
		break
print(s+x)

Buggy python submission (verdict: Runtime Error):
s=input()
if len(s)==26:
	d=[]
	for i in range(26):
		if list(s[-i-1:][::-1])!=sorted(s[-i-1:]):
			for j in range(i+1):
				d.append(s[-j-1])
			d.sort()
			if d[0]==s[-i-1]:
				k=d[1]
				print(2/0)
			else:
				k=d[0]
			print(s[:-i-1]+k)
			exit()
	print(-1)
	exit()
d=[0]*26
for i in range(len(s)):
	d[ord(s[i])-ord("a")]+=1
for i in range(26):
	if d[i]==0:
		x=chr(ord("a")+i)
		break
print(s+x)

Fixed submission:
s=input()
if len(s)==26:
	d=[]
	for i in range(26):
		if list(s[-i-1:][::-1])!=sorted(s[-i-1:]):
			for j in range(i+1):
				d.append(s[-j-1])
			d.sort()
			if d[0]==s[-i-1]:
				k=d[1]
			else:
				for j in range(len(d)):
					if d[j]>s[-i-1]:
						k=d[j]
						break
			print(s[:-i-1]+k)
			exit()
	print(-1)
	exit()
d=[0]*26
for i in range(len(s)):
	d[ord(s[i])-ord("a")]+=1
for i in range(26):
	if d[i]==0:
		x=chr(ord("a")+i)
		break
print(s+x)

Buggy python submission (verdict: Runtime Error):
s=input()
if len(s)==26:
	d=[]
	for i in range(26):
		if list(s[-i-1:][::-1])!=sorted(s[-i-1:]):
			for j in range(i+1):
				d.append(s[-j-1])
			d.sort()
			k=d[1]
			print(s[:-i-1]+k)
			print(2/0)
			exit()
	print(-1)
	exit()
d=[0]*26
for i in range(len(s)):
	d[ord(s[i])-ord("a")]+=1
for i in range(26):
	if d[i]==0:
		x=chr(ord("a")+i)
		break
print(s+x)

Fixed submission:
s=input()
if len(s)==26:
	d=[]
	for i in range(26):
		if list(s[-i-1:][::-1])!=sorted(s[-i-1:]):
			for j in range(i+1):
				d.append(s[-j-1])
			d.sort()
			if d[0]==s[-i-1]:
				k=d[1]
			else:
				for j in range(len(d)):
					if d[j]>s[-i-1]:
						k=d[j]
						break
			print(s[:-i-1]+k)
			exit()
	print(-1)
	exit()
d=[0]*26
for i in range(len(s)):
	d[ord(s[i])-ord("a")]+=1
for i in range(26):
	if d[i]==0:
		x=chr(ord("a")+i)
		break
print(s+x)
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
need=sum(b)-sum(a)
import math
x=0
a.sort()
b.sort()
for i in range(n):
	if a[i]>b[i]:
		x+=a[i]-b[i]
	else:
		x+=math.ceil((b[i]-a[i])/2)
if x<=need:
	print("Yes")
else:
	print("No")


Fixed submission:
x,y=map(int,input().split())
if x%y==0:
	print(-1)
else:
	print(x*(y-1))
Buggy python submission (verdict: Time Limit Exceeded):
N,Y=map(int,input().split())
A=[]
for i in range(Y//10000+1):
    for j in range((Y-i*10000)//5000+1):
        c1=(Y-10000*i-5000*j)/1000
        c2=N-i-j
        if c1==c2:
            A=[i,j,c1]
            break
        if c1!=c2:
            continue
if len(A)==0:
    print("-1 -1 -1")
else:
    A[2]=int(A[2])
    print(str(A[0])+" "+str(A[1])+" "+str(A[2]))

Fixed submission:
n,y=map(int,input().split())
for i in range(n+1):
	for j in range(n+1):
		if (y-(10000*i+5000*j))/1000\
		==n-i-j and n-i-j>=0:
			print(i,j,n-i-j)
			exit()
print(-1,-1,-1)
Buggy python submission (verdict: Runtime Error):
a,b,c,d=map(int,input().split())
if a+b>c+d:
 print(“Left”)
elif a+b=c+d:
 print(“Balanced”)
else:
 print(“Right”)

Fixed submission:
a,b,c,d=map(int,input().split())
if a+b>c+d:
 print("Left")
elif a+b==c+d:
 print("Balanced")
else:
 print("Right")
Buggy python submission (verdict: Runtime Error):
x,y=map(int,input().split())
import math
p=math.log(y/x,2)+10**(-18)
print(int(p)+1

Fixed submission:
x,y=map(int,input().split())
ans=1
for i in range(1000):
	if x*2>y:
		print(ans)
		exit()
	else:
		ans+=1
		x*=2
Buggy python submission (verdict: Runtime Error):
k=[0]*(10**9+1)
n=int(input())
a=list(map(int,input().split()))
ans=0
for i in range(n):
	k[a[i]-1]+=1
	if k[a[i]-1]>a[i]:
		ans+=1
b=set()
for i in range(n):
	if k[a[i]-1]<a[i]-1 and a[i] not in b:
		ans+=k[a[i]-1]
	b.add(a[i])
print(ans)

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
a.sort()
ans=0
cnt=1
for i in range(n-1):
	if a[i]==a[i+1]:
		cnt+=1
	else:
		if cnt>=a[i]:
			x=cnt-a[i]
		else:
			x=10**10
		ans+=min(cnt,x)
		cnt=1
if cnt>=a[-1]:
	x=cnt-a[-1]
else:
	x=10**10
ans+=min(cnt,x)
print(ans)

Buggy python submission (verdict: Runtime Error):
k=[0]*(10**9+1)
n=int(input())
a=list(map(int,input().split()))
ans=0
for i in range(n):
	k[a[i]]+=1
	if k[a[i]]>a[i]:
		ans+=1
print(ans)


Fixed submission:
n=int(input())
a=list(map(int,input().split()))
a.sort()
ans=0
cnt=1
for i in range(n-1):
	if a[i]==a[i+1]:
		cnt+=1
	else:
		if cnt>=a[i]:
			x=cnt-a[i]
		else:
			x=10**10
		ans+=min(cnt,x)
		cnt=1
if cnt>=a[-1]:
	x=cnt-a[-1]
else:
	x=10**10
ans+=min(cnt,x)
print(ans)
Buggy python submission (verdict: Runtime Error):
n,k=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
b=a[0]
cnt=1
x=[]
for i in range(1,n):
	if b==a[i]:
		cnt+=1
	else:
		x.append([a[i-1],cnt])
		cnt=1
		b=a[i]
x.append([a[-1],cnt])
x.sort(key=lambda x:-x[1])
y=0
for i in range(k):
	y+=x[i][1]
print(n-y)

Fixed submission:
n,k=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
b=a[0]
cnt=1
x=[]
for i in range(1,n):
	if b==a[i]:
		cnt+=1
	else:
		x.append([a[i-1],cnt])
		cnt=1
		b=a[i]
x.append([a[-1],cnt])
x.sort(key=lambda x:-x[1])
y=0
for i in range(min(k,len(x))):
	y+=x[i][1]
print(n-y)
Buggy python submission (verdict: Runtime Error):
n,a,b=map(int,input().split())
print(min(a*t,b))

Fixed submission:

n,a,b=map(int,input().split())
print(min(a*n,b))
Buggy python submission (verdict: Runtime Error):
n,c=map(int,input().split())
time=[0]*(10**5)
for i in range(n):
	s,t,c=map(int,input().split())
	time[s-1]+=1
	time[t]-=1
for i in range(10**5-1):
	time[i+1]+=time[i]
print(max(time))

Fixed submission:
from itertools import accumulate
n,c=map(int,input().split())
time=[0]*(10**5+2)
stc=[]
for i in range(n):
	s,t,c=map(int,input().split())
	stc.append([s,t,c])
stc.sort(key=lambda x:(x[2],x[0]))
for i in range(n-1):
	if stc[i][2]==stc[i+1][2]:
		if stc[i][1]==stc[i+1][0]:
			stc[i+1][0]=stc[i][0]
			stc[i]=[-1]
lis=[]
for i in range(n):
	if stc[i]!=[-1]:
		lis.append(stc[i])
for i in range(len(lis)):
	time[lis[i][0]-1]+=1
	time[lis[i][1]]-=1
print(max(accumulate(time)))
Buggy python submission (verdict: Runtime Error):
s=input()
ans=[]
def two(k):
	 qq="0"*(9-len(bin(k)[2:]))+bin(k)[2:]
	 return qq

for i in range(1,2**9):
	p=""
	for j in range(9):
		if two(i)[j]=="1":
			p+="AKIHABARA"[j]
	ans.append(p)
if s in ans:
	print("YES")
else:
	print("NO")
	print(2/0)



Fixed submission:
s=input()
ans=set()
def two(k):
	 qq="0"*(9-len(bin(k)[2:]))+bin(k)[2:]
	 return qq

for i in range(1,2**9):
	p=""
	for j in range(9):
		if two(i)[j]=="1":
			p+="AKIHABARA"[j]
		if "KI" in p and "H" in p and "B" in p and "R" in p:
			ans.add(p)
if s in ans:
	print("YES")
else:
	print("NO")

Buggy python submission (verdict: Runtime Error):
s=input()
p="KIHBR"
j=0
c=0
for i in range(len(s)):
	if s[i]==p[j]:
		j+=1
		c=0
	elif s[i]=="A" and j!=1 and c==0:
		c+=1
		continue
	else:
		print("NO")
		exit()
if j==5:
	print("YES")
else:
	print("NO")

	

Fixed submission:
s=input()
ans=set()
def two(k):
	 qq="0"*(9-len(bin(k)[2:]))+bin(k)[2:]
	 return qq

for i in range(1,2**9):
	p=""
	for j in range(9):
		if two(i)[j]=="1":
			p+="AKIHABARA"[j]
		if "KI" in p and "H" in p and "B" in p and "R" in p:
			ans.add(p)
if s in ans:
	print("YES")
else:
	print("NO")
Buggy python submission (verdict: Runtime Error):
x,y = input().split()
a,b = ord(x), ord(y)
 
if a < b:
    print('<')
elif a > b:
    print('>')
else if a = b:
    print('=')

Fixed submission:
a,b=input().split()
x,y=ord(a),ord(b)

if x > y:
    print(">")
elif x==y:
  print("=")
else:
  print("<")

Buggy python submission (verdict: Runtime Error):
x,y = input().split()
a,b = ord(x), ord(y)
 
if a < b:
    print('<')
elif a > b:
    print('>')
else if a == b:
    print('=')

Fixed submission:
a,b=input().split()
x,y=ord(a),ord(b)

if x > y:
    print(">")
elif x==y:
  print("=")
else:
  print("<")

Buggy python submission (verdict: Runtime Error):
x,y = input().split()
a,b = ord(x), ord(y)
 
if a < b:
    print('<')
elif a > b:
    print('>')
else if a==b:
    print('=')

Fixed submission:
a,b=input().split()
x,y=ord(a),ord(b)

if x > y:
    print(">")
elif x==y:
  print("=")
else:
  print("<")

Buggy python submission (verdict: Runtime Error):
x,y = input().split()
a,b = ord(x), ord(y)
 
if a < b:
    print('<')
elif a > b:
    print('>')
else if a=b:
    print('=')

Fixed submission:
a,b=input().split()
x,y=ord(a),ord(b)

if x > y:
    print(">")
elif x==y:
  print("=")
else:
  print("<")

Buggy python submission (verdict: Runtime Error):

>>>  A,B=input().strip().split()
if A>B:print(">") if A=B:print("=") if A<B:print("<")


Fixed submission:
a,b=input().split()
x,y=ord(a),ord(b)

if x > y:
    print(">")
elif x==y:
  print("=")
else:
  print("<")
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
m=int(input())
b=list(map(int,input().split()))
a.sort()
b.sort()
j=0
for i in range(n):
	if a[i]==b[j]:
		j+=1
if j==m:
	print("YES")
else:
	print("NO")


Fixed submission:
n=int(input())
a=list(map(int,input().split()))
m=int(input())
b=list(map(int,input().split()))
a.sort()
b.sort()
j=0
for i in range(n):
	if a[i]==b[j]:
		j+=1
	if j==m:
		break
if j==m:
	print("YES")
else:
	print("NO")
Buggy python submission (verdict: Runtime Error):
n,m,k=map(int,input().split())
if n%k==0 or m%k==0:
	print("Yes")
else:
	print("No")


Fixed submission:
n,m,k=map(int,input().split())
for nn in range(n+1):
	for mm in range(m+1):
		if nn*m+mm*n-2*mm*nn==k:
			print("Yes")
			exit()
print("No")
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import permutations
inf=10**9
n,m,R=map(int,input().split())
r=list(map(int,input().split()))
rr=permutations(r,R)
dis=[[inf]*n for _ in range(n)]
for i in range(m):
	a,b,c=map(int,input().split())
	dis[a-1][b-1]=c
	dis[b-1][a-1]=c
for i in range(n):
	for j in range(n):
		for k in range(n):
			dis[j][k]=min(dis[j][i]+dis[i][k],dis[j][k])
ans=10**12
for x in rr:
	e=0
	for i in range(R-1):
		e+=dis[x[i+1]-1][x[i]-1]
	ans=min(ans,e)
print(ans)


Fixed submission:
from itertools import permutations
inf=10**9
n,m,R=map(int,input().split())
r=list(map(int,input().split()))
rr=permutations(r,R)
dis=[[inf]*n for _ in range(n)]
for i in range(m):
	a,b,c=map(int,input().split())
	dis[a-1][b-1]=c
	dis[b-1][a-1]=c
for i in range(n):
	for j in range(n):
		for k in range(n):
			dis[j][k]=min(dis[j][i]+dis[i][k],dis[j][k])
ans=10**12
for x in rr:
	e=0
	for i in range(R-1):
		e+=dis[x[i+1]-1][x[i]-1]
	ans=min(ans,e)
print(ans)