Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
isstr=input()
n,m = [int(i) for i in isstr.split(' ')]
l=[0]*m
r=[0]*m
for i in range(m):
    l[i],r[i]=[int(i)-1 for i in input().split(' ')]
a=[0]*n
for i in range(m):
    for j in range(l[i],r[i]+1):
        a[j]+=1
print(len([i for i in a if i==m]))

Fixed submission:
isstr=input()
n,m = [int(i) for i in isstr.split(' ')]
l=[0]*m
r=[0]*m
for i in range(m):
    l[i],r[i]=[int(i)-1 for i in input().split(' ')]
x=min(r)-max(l)+1
x=x if x>0 else 0
print(x)

Buggy python submission (verdict: Runtime Error):
isstr=input()
n,m = [int(i) for i in isstr.split(' ')]
l=[0]*m
r=[0]*m
for i in range(m):
    l[i],r[i]=[int(i)-1 for i in input().split(' ')]
a=[0]*n
for i in range(m):
    for j in range(l[i],r[i]+1):
        a[j]+=1
print(len([_ for i in a if i==m]))  

Fixed submission:
isstr=input()
n,m = [int(i) for i in isstr.split(' ')]
l=[0]*m
r=[0]*m
for i in range(m):
    l[i],r[i]=[int(i)-1 for i in input().split(' ')]
x=min(r)-max(l)+1
x=x if x>0 else 0
print(x)

Buggy python submission (verdict: Time Limit Exceeded):
isstr=input()
n,m = [int(i) for i in isstr.split(' ')]
l=[0]*m
r=[0]*m
for i in range(m):
    l[i],r[i]=[int(i)-1 for i in input().split(' ')]
a=[set() for i in range(n)]
for i in range(m):
    for j in range(l[i],r[i]+1):
        a[j].add(i)
a=[(index,i) for index,i in enumerate(a)]
a.sort(key=lambda i:len(i[1]),reverse=True)
s={i for i in range(m)}
c=0
for k,v in a:
    t=s-v
    if len(t)==0:
        c+=1
print(c)

Fixed submission:
isstr=input()
n,m = [int(i) for i in isstr.split(' ')]
l=[0]*m
r=[0]*m
for i in range(m):
    l[i],r[i]=[int(i)-1 for i in input().split(' ')]
x=min(r)-max(l)+1
x=x if x>0 else 0
print(x)

Buggy python submission (verdict: Runtime Error):
isstr=input()
n,m = [int(i) for i in isstr.split(' ')]
l=[0]*m
r=[0]*m
for i in range(m):
    l[i],r[i]=[int(i) for i in input().split(' ')]
a=[0]*n
for i in range(m):
    for j in range(l[i],r[i]+1):
        a[j+1]=1
print(sum(a))


Fixed submission:
isstr=input()
n,m = [int(i) for i in isstr.split(' ')]
l=[0]*m
r=[0]*m
for i in range(m):
    l[i],r[i]=[int(i)-1 for i in input().split(' ')]
x=min(r)-max(l)+1
x=x if x>0 else 0
print(x)

Buggy python submission (verdict: Runtime Error):
isstr=input()
n,m = [int(i) for i in isstr.split(' ')]
l=[0]*m
r=[0]*m
for i in range(m):
    l[i],r[i]=[int(i) for i in input().split(' ')]
a=[0]*n
for i in range(m):
    a[l[i]-1]=1
    a[l[i]]=1
    a[r[i]-1]=1
print(sum(a))

Fixed submission:
isstr=input()
n,m = [int(i) for i in isstr.split(' ')]
l=[0]*m
r=[0]*m
for i in range(m):
    l[i],r[i]=[int(i)-1 for i in input().split(' ')]
x=min(r)-max(l)+1
x=x if x>0 else 0
print(x)
Buggy python submission (verdict: Time Limit Exceeded):
# coding:UTF-8

N, K = map(int, input().split())
health = list(map(int, input().split()))

count = 0

for k in range(0, K):
    health[health.index(max(health))] = 0

print(sum(health))


Fixed submission:
# coding:UTF-8

N, K = map(int, input().split())
health = list(map(int, input().split()))

count = 0

health = sorted(health,reverse=True)

print(sum(health[K:]))
Buggy python submission (verdict: Runtime Error):
# coding:utf-8

a = int(input())
n = list(map(int, input().split()))

ind = n.index(min(n))
POT = n.pop(ind)

for i in range(0, len(n)):
    ind = n.index(min(n))
    POT = (POT + n.pop(ind)) / 2

print(POT)

Fixed submission:
#coding:utf-8

a = int(input())
s = str(input())

if a >= 3200:
    print(s)
else:
    print("red")
Buggy python submission (verdict: Runtime Error):
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])

print(ans%mod)



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

if n==m:
    print('Yes')
else:
    print('No')

Buggy python submission (verdict: Runtime Error):
import fractions

mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def lcm(a,b):
    return a//fractions.gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])%mod

def modpow(x,y,mod):
    res=1
    while y>0:
        if y&1:
            res=res*x%mod
        x=x*x%mod
        y>>=1
    return res

def modinv(x,mod):
    return modpow(x,mod-2,mod)

ans=0

for i in range(n):
    ans=(ans+lcma*modinv(a[i],mod)%mod)%mod

print(ans)



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

if n==m:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])

print(ans%mod)



Fixed submission:
n=int(input())

m=[[0 for i in range(10)] for j in range(10)]

for i in range(n+1):
    s=int(str(i)[0])
    e=int(str(i)[-1])

    m[s][e]+=1

ans=0

for i in range(10):
    for j in range(10):
        ans+=m[i][j]*m[j][i]

print(ans-1)
Buggy python submission (verdict: Time Limit Exceeded):
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])%mod

print(ans)



Fixed submission:
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])

print(ans%mod)

Buggy python submission (verdict: Time Limit Exceeded):
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])

print(ans%mod)



Fixed submission:
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])

print(ans%mod)

Buggy python submission (verdict: Time Limit Exceeded):
import fractions

mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def lcm(a,b):
    return a//fractions.gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])%mod

print(ans)


Fixed submission:
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])

print(ans%mod)

Buggy python submission (verdict: Time Limit Exceeded):
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i]%mod)%mod

print(ans)



Fixed submission:
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])

print(ans%mod)

Buggy python submission (verdict: Time Limit Exceeded):
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])%mod

print(ans)



Fixed submission:
mod=10**9+7

n=int(input())

a=list(map(int,input().split()))

def gcd(a,b):
    while b!=0:
        a,b=b,a%b
    return a

def lcm(a,b):
    return a//gcd(a,b)*b

lcma=1

for i in range(n):
    lcma=lcm(lcma,a[i])

ans=0

for i in range(n):
    ans=(ans+lcma//a[i])

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

L=[]
for i in range(N):
    L.append([2]*N)

for i in range(N):
    A=int(input())
    for j in range(A):
        x,y=map(int,input().split())
        L[i][x-1]=int(y)

max=0

for i in range(2**N):
    b=list(map(int,list(bin(i))[2:]))
    b=[0]*(N-len(b))+b
    s=0

    for j in range(N):
        for k in range(N):
            if b[j]==1 and b[k]==1:
                if L[j][k]==0 or L[k][j]==0:
                    s=1
            if b[j]==1 and b[k]==0:
                if L[j][k]==1:
                    s=1

    if s==0:
        max=sum(b)

print(max)

Fixed submission:
N=int(input())

L=[]
for i in range(N):
    L.append([2]*N)

for i in range(N):
    A=int(input())
    for j in range(A):
        x,y=map(int,input().split())
        L[i][x-1]=int(y)

max=0

for i in range(2**N):
    b=list(map(int,list(bin(i))[2:]))
    b=[0]*(N-len(b))+b
    s=0

    for j in range(N):
        for k in range(N):
            if b[j]==1 and b[k]==1:
                if L[j][k]==0 or L[k][j]==0:
                    s=1
            if b[j]==1 and b[k]==0:
                if L[j][k]==1:
                    s=1

    if s==0:
        max=sum(b)

print(max)
Buggy python submission (verdict: Runtime Error):
import sys
mod=10**9+7
x,y=map(int,input().split())

a=(-x+2*y)//3
b=(2*x-y)//3

if a<0 or b<0:
  print(0)
  sys.exit()
  
f=[1]
for i in range(1,a+b+1):
    f.append(f[-1]*i%mod)

if a+2*b==x and 2*a+b==y:
    print(f[a+b]*pow(f[a]*f[b],mod-2,mod)%mod)
else:
    print(0)

Fixed submission:
r=int(input())

print(r**2)

Buggy python submission (verdict: Runtime Error):
mod=10**9+7
x,y=map(int,input().split())

a=(-x+2*y)//3
b=(2*x-y)//3

f=[1]
for i in range(1,a+b+1):
    f.append(f[-1]*i%mod)

if a+2*b==x and 2*a+b==y and (-x+2*y)%3==0 and (2*x-y)%3==0:
    print(f[a+b]*pow(f[a]*f[b],mod-2,mod)%mod)
else:
    print(0)

Fixed submission:
r=int(input())

print(r**2)
Buggy python submission (verdict: Runtime Error):
mod=10**9+7
x,y=map(int,input().split())

a=(-x+2*y)//3
b=(2*x-y)//3

f=[1]
for i in range(1,a+b+100):
    f.append(f[-1]*i%mod)

if a+2*b==x and 2*a+b==y:
    print(f[a+b]*pow(f[a]*f[b],mod-2,mod)%mod)
else:
    print(0)


Fixed submission:
import sys
mod=10**9+7
x,y=map(int,input().split())

a=(-x+2*y)//3
b=(2*x-y)//3

if a<0 or b<0:
  print(0)
  sys.exit()
  
f=[1]
for i in range(1,a+b+1):
    f.append(f[-1]*i%mod)

if a+2*b==x and 2*a+b==y:
    print(f[a+b]*pow(f[a]*f[b],mod-2,mod)%mod)
else:
    print(0)

Buggy python submission (verdict: Runtime Error):
mod=10**9+7
x,y=map(int,input().split())

a=(-x+2*y)//3
b=(2*x-y)//3

f=[1]
for i in range(1,a+b+1):
    f.append(f[-1]*i%mod)

if a+2*b==x and 2*a+b==y:
    print(f[a+b]*pow(f[a]*f[b],mod-2,mod)%mod)
else:
    print(0)


Fixed submission:
import sys
mod=10**9+7
x,y=map(int,input().split())

a=(-x+2*y)//3
b=(2*x-y)//3

if a<0 or b<0:
  print(0)
  sys.exit()
  
f=[1]
for i in range(1,a+b+1):
    f.append(f[-1]*i%mod)

if a+2*b==x and 2*a+b==y:
    print(f[a+b]*pow(f[a]*f[b],mod-2,mod)%mod)
else:
    print(0)

Buggy python submission (verdict: Runtime Error):
mod=10**9+7
x,y=map(int,input().split())

a=(-x+2*y)//3
b=(2*x-y)//3

f=[1]
for i in range(1,a+b):
    f.append(f[-1]*i%mod)

if a+2*b==x and 2*a+b==y:
    print(f[a+b]*pow(f[a]*f[b],mod-2,mod)%mod)
else:
    print(0)


Fixed submission:
import sys
mod=10**9+7
x,y=map(int,input().split())

a=(-x+2*y)//3
b=(2*x-y)//3

if a<0 or b<0:
  print(0)
  sys.exit()
  
f=[1]
for i in range(1,a+b+1):
    f.append(f[-1]*i%mod)

if a+2*b==x and 2*a+b==y:
    print(f[a+b]*pow(f[a]*f[b],mod-2,mod)%mod)
else:
    print(0)

Buggy python submission (verdict: Runtime Error):
import sys

mod=10**9+7
x,y=map(int,input().split())

if (-X + 2*Y) % 3 or (2*X - Y) % 3 or (-X + 2*Y) < 0 or (2*X - Y) < 0:
    print(0)
    sys.exit()

a=(-x+2*y)//3
b=(2*x-y)//3

n=a+b

p1=1
p2=1
p3=1

for i in range(n):
    p1=p1*(i+1)%mod

for i in range(max(a,b)):
    p2=p2*(i+1)%mod

    if i==b-1:
        p3=p2

if a+2*b==x and 2*a+b==y:
    print(p1*pow(p2,mod-2,mod)*pow(p3,mod-2,mod)%mod)
else:
    print(0)


Fixed submission:
import sys
mod=10**9+7
x,y=map(int,input().split())

a=(-x+2*y)//3
b=(2*x-y)//3

if a<0 or b<0:
  print(0)
  sys.exit()
  
f=[1]
for i in range(1,a+b+1):
    f.append(f[-1]*i%mod)

if a+2*b==x and 2*a+b==y:
    print(f[a+b]*pow(f[a]*f[b],mod-2,mod)%mod)
else:
    print(0)
Buggy python submission (verdict: Runtime Error):
N=int(input())

print(sum(list(range(N+1)))-N)


Fixed submission:
N=int(input())

s=N*(N+1)//2

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

import sys
input = sys.stdin.readline

s=[list(input()) for i in range(N)]

for i in range(N):
    s[i].sort()

s.sort()

out=0

for i in range(N):
    for j in range(i+1,N,1):
        if s[i]==s[j]:
            out+=1
        else:
            continue

print(out)


Fixed submission:
N=int(input())

import sys
input = sys.stdin.readline

s=[list(input()) for i in range(N)]

for i in range(N):
    s[i].sort()

out=0

d={}

for i in range(N):
    if str(s[i]) in d:
        out+=d[str(s[i])]
        d[str(s[i])]+=1
    else:
        d[str(s[i])]=1

print(out)

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

import sys
input = sys.stdin.readline

s=[list(input()) for i in range(N)]

for i in range(N):
    s[i].sort()

s.sort()

out=0

for i in range(N):
    for j in range(i+1,N,1):
        if s[i]==s[j]:
            out+=1
        else:
            continue

print(out)


Fixed submission:
N=int(input())

import sys
input = sys.stdin.readline

s=[list(input()) for i in range(N)]

for i in range(N):
    s[i].sort()

out=0

d={}

for i in range(N):
    if str(s[i]) in d:
        out+=d[str(s[i])]
        d[str(s[i])]+=1
    else:
        d[str(s[i])]=1

print(out)
Buggy python submission (verdict: Runtime Error):
N=int(input())

H=list(map(int,input().split()))

H[0]-=1

s=0

if H[0]>H[1]:
    s=1
    
for i in range(1,N-1):
    if H[i]>H[i-1]:
        H[i]-=1
    if H[i]>H[i+1]:
        s=1

if s==1:
    print('No')
else:
    print('Yes')


Fixed submission:
N=int(input())

H=list(map(int,input().split()))

H[0]-=1

s=0

if N>1:
    if H[0]>H[1]:
        s=1
    
    for i in range(1,N-1):
        if H[i]>H[i-1]:
            H[i]-=1
        if H[i]>H[i+1]:
            s=1


if s==1:
    print('No')
else:
    print('Yes')
Buggy python submission (verdict: Time Limit Exceeded):
S=list(input())

B=[0]*len(S)

for i in range(len(S)):
    if S[i]=='R':
        r=i+1
        while S[r]=='R':
            r+=1
        if (r-i)%2==1:
            B[r-1]+=1
        else:
            B[r]+=1

    if S[i]=='L':
        l=i-1
        while S[l]=='L':
            l-=1
        if (l+i)%2==1:
            B[l+1]+=1
        else:
            B[l]+=1

print(' '.join(map(str,B)))


Fixed submission:
S=list(input())
N=len(S)

B=[0]*len(S)

s=0
for i in range(N):
    if S[i]=='R':
        s+=1
    else:
        if s%2==1:
            B[i]+=int((s-1)/2)
            B[i-1]+=int((s-1)/2+1)
        else:
            B[i]+=int(s/2)
            B[i-1]+=int(s/2)
        s=0

s=0
for i in range(N-1,-1,-1):
    if S[i]=='L':
        s+=1
    else:
        if s%2==1:
            B[i]+=int((s-1)/2)
            B[i+1]+=int((s-1)/2+1)
        else:
            B[i]+=int(s/2)
            B[i+1]+=int(s/2)
        s=0

print(' '.join(map(str,B)))

Buggy python submission (verdict: Time Limit Exceeded):
S=list(input())

B=[]
for i in range(len(S)):
    B.append(0)

for i in range(len(S)):
    if S[i]=='R':
        r=i+1
        while S[r]=='R':
            r+=1
        if (r-i)%2==1:
            B[r-1]+=1
        else:
            B[r]+=1

    if S[i]=='L':
        l=i-1
        while S[l]=='L':
            l-=1
        if (l+i)%2==1:
            B[l+1]+=1
        else:
            B[l]+=1

print(' '.join(map(str,B)))


Fixed submission:
S=list(input())
N=len(S)

B=[0]*len(S)

s=0
for i in range(N):
    if S[i]=='R':
        s+=1
    else:
        if s%2==1:
            B[i]+=int((s-1)/2)
            B[i-1]+=int((s-1)/2+1)
        else:
            B[i]+=int(s/2)
            B[i-1]+=int(s/2)
        s=0

s=0
for i in range(N-1,-1,-1):
    if S[i]=='L':
        s+=1
    else:
        if s%2==1:
            B[i]+=int((s-1)/2)
            B[i+1]+=int((s-1)/2+1)
        else:
            B[i]+=int(s/2)
            B[i+1]+=int(s/2)
        s=0

print(' '.join(map(str,B)))
Buggy python submission (verdict: Runtime Error):
import numpy as np

N=int(input())

A=list(map(int,input().split()))

A=np.array(A)

B=np.identity(N)

for i in range(N-1):
    B[i][i+1]=1
B[N-1][0]=1

B_inv=np.linalg.inv(B)

A=A.reshape((1,N))
X=2*np.dot(B_inv,A.transpose())

X=list(map(int,X))

print(' '.join(map(str,X)))


Fixed submission:
N=int(input())

A=list(map(int,input().split()))

B=[sum(A)]

for i in range(1,N,2):
    B[0]-=2*A[i]

for i in range(N-1):
    B.append(2*A[i]-B[i])

print(' '.join(map(str,B)))
Buggy python submission (verdict: Runtime Error):
from operator import mul
from functools import reduce

N,K=map(int,input().split())

mod=10**9+7

def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under%mod

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

Fixed submission:
from operator import mul
from functools import reduce

from operator import mul
from functools import reduce

N,K=map(int,input().split())

mod=10**9+7

def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under%mod

for i in range(K):
    if i<N-K+1:
        print((cmb(N-K+1,i+1)*cmb(K-1,i))%mod)
    else:
        print(0)

Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(100000)

N,K=map(int,input().split())

mod=10**9+7

nCr = {}
def cmb(n, r):
    if r == 0 or r == n: return 1
    if r == 1: return n
    if (n,r) in nCr: return nCr[(n,r)]
    nCr[(n,r)] = (cmb(n-1,r) + cmb(n-1,r-1))%mod
    return nCr[(n,r)]

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

Fixed submission:
from operator import mul
from functools import reduce

from operator import mul
from functools import reduce

N,K=map(int,input().split())

mod=10**9+7

def cmb(n,r):
    r = min(n-r,r)
    if r == 0: return 1
    over = reduce(mul, range(n, n - r, -1))
    under = reduce(mul, range(1,r + 1))
    return over // under%mod

for i in range(K):
    if i<N-K+1:
        print((cmb(N-K+1,i+1)*cmb(K-1,i))%mod)
    else:
        print(0)
Buggy python submission (verdict: Runtime Error):
N=int(input())

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

XY.sort()

d={}

for i in range(N-1):
    for j in range(i+1,N):
        if str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1]) in d:
            d[str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1])]+=1
        else:
            d[str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1])]=1
            
print(N-max(d.values()))


Fixed submission:
N=int(input())

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

XY.sort()

d={}

if N==1:
    print(1)
else:
    for i in range(N-1):
        for j in range(i+1,N):
            if str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1]) in d:
                d[str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1])]+=1
            else:
                d[str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1])]=1
            
    print(N-max(d.values()))

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

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

XY.sort()

d={}

for i in range(N):
    for j in range(i+1,N):
        if str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1]) in d:
            d[str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1])]+=1
        else:
            d[str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1])]=1
            
print(N-max(d.values()))


Fixed submission:
N=int(input())

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

XY.sort()

d={}

if N==1:
    print(1)
else:
    for i in range(N-1):
        for j in range(i+1,N):
            if str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1]) in d:
                d[str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1])]+=1
            else:
                d[str(XY[j][0]-XY[i][0])+' '+str(XY[j][1]-XY[i][1])]=1
            
    print(N-max(d.values()))
Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())

s=[[0 for i in range(N)] for j in range(M)]

for i in range(M):
    tmp=list(map(int,input().split()))

    k=tmp[0]
    for j in range(k):
        s[i][tmp[j+1]-1]=1

p=list(map(int,input().split()))

out=0

for i in range(2**N):
    b=list(map(int,list(bin(i))[2:]))
    b=[0 * (N-len(b))]+b
    ss=1
    for j in range(M):
        t=0
        for k in range(N):
            if b[k]==s[j][k]:
                t+=1
        if t%2!=p[j]:
            ss=0
    if ss==1:
        out+=1

print(out)
       


Fixed submission:
N,M=map(int,input().split())

s=[[0 for i in range(N)] for j in range(M)]

for i in range(M):
    tmp=list(map(int,input().split()))

    k=tmp[0]
    for j in range(k):
        s[i][tmp[j+1]-1]=1

p=list(map(int,input().split()))

out=0

for i in range(2**N):
    b=list(map(int,list(bin(i))[2:]))
    b=[0 for j in range((N-len(b)))]+b
    ss=1
    for j in range(M):
        t=0
        for k in range(N):
            if b[k]==1 and s[j][k]==1:
                t+=1
        if t%2!=p[j]:
            ss=0
    if ss==1:
        out+=1

print(out)
Buggy python submission (verdict: Runtime Error):
A=[]

for i in range(5):
    A.append(int(input()))

m=10

for i in range(5):
    if A[i]%10<m and A[i]%10!=0:
        m=A[i]%10
        s=i

su=0

for i in range(5):
    if i==s:
        su+=A[i]
    elif A[i]%10!=0:
        su+=(A[i]//10+1)*10
    else:
        su+=A[i]
print(su)


Fixed submission:
A=[]

for i in range(5):
    A.append(int(input()))

m=10
s=10

for i in range(5):
    if A[i]%10<m and A[i]%10!=0:
        m=A[i]%10
        s=i

su=0

for i in range(5):
    if i==s:
        su+=A[i]
    elif A[i]%10!=0:
        su+=(A[i]//10+1)*10
    else:
        su+=A[i]
        
print(su)
Buggy python submission (verdict: Runtime Error):
import math

N=int(input())

m=0

for i in range(5):
    if m<math.ceil(N/int(input())):
      m=math.ceil(N/int(input()))

print(m+4)



Fixed submission:
import math
 
N=int(input())
 
m=0
 
for i in range(5):
    a=math.ceil(N/int(input()))
    if m<a:
      m=a
 
print(m+4)
Buggy python submission (verdict: Runtime Error):
N,Q=map(int,input().split())
S=input()

c=0
s=[0]
for i in range(1,N):
    if S[i-1]=='A' and S[i]=='C':
        c+=1
    s.append(c)

    print(s)
    
for i in range(Q):
    l,r=map(int,input().split())
    out=s[r-1]-s[l-1]

    print(out)

Fixed submission:
N,Q=map(int,input().split())
S=input()

c=0
s=[0]
for i in range(1,N):
    if S[i-1]=='A' and S[i]=='C':
        c+=1
    s.append(c)
    
for i in range(Q):
    l,r=map(int,input().split())
    out=s[r-1]-s[l-1]

    print(out)
Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
S=[]
for i in range(N):
    A,B=map(int,input().split())
    S.append([A,B])

S.sort()
m=0

for i in range(M):
    for j in range(N):
        if S[j][1]!=0:
            m+=S[j][0]
            S[j][1]-=1
            break

print(m)



    

Fixed submission:
N,M=map(int,input().split())
S=[]
for i in range(N):
    A,B=map(int,input().split())
    S.append([A,B])

S.sort()
m=0
while M>0:
    for i in range(N):
        if S[i][1]<=M:
            m+=S[i][0]*S[i][1]
            M-=S[i][1]
        else:
            m+=S[i][0]*M
            M=0
            break

print(m)