Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
X,Y=map(int,input().split())

def cmb(n,k):
    x,y=1,1
    for i in range(k):
        x*=(n-i)%mod
        y*=(k-i)%mod
    return x*pow(y,mod-2,mod)%mod

if (X+Y)%3!=0:
    print(0)
else:
    m=(2*X-Y)//3
    n=(2*Y-X)//3
    if n<0 or m<0:
        print(0)
    else:
        mod=10**9+7
        ans=cmb(n+m,min(n,m))
        print(ans)

Fixed submission:
X,Y=map(int,input().split())

def cmb(n,k):
    x,y=1,1
    for i in range(k):
        x = x * (n-i)%mod
        y = y * (k-i)%mod
    return x*pow(y,mod-2,mod)%mod

if (X+Y)%3!=0:
    print(0)
else:
    m=(2*X-Y)//3
    n=(2*Y-X)//3
    if n<0 or m<0:
        print(0)
    else:
        mod=10**9+7
        ans=cmb(n+m,min(n,m))
        print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N,K,Q=map(int,input().split())
A = np.array([K] * N)
B = np.array([-1] *N)
if K>Q:
    for i in range(N):
        print("Yes")
else:
    for i in range(Q):
        a=int(input())-1
        A=A+B
        A[a]+=1
    for k in range(N):
        if A[k]>0:
            print("Yes")
        else:
            print("No")

Fixed submission:
N,K,Q=map(int,input().split())
A = [0] * N
if K>Q:
    for i in range(N):
        print("Yes")
else:
    for i in range(Q):
        a=int(input())-1
        A[a]+=1
    for k in range(N):
        if K>Q-A[k]:
            print("Yes")
        else:
            print("No")

Buggy python submission (verdict: Time Limit Exceeded):
N,K,Q=map(int,input().split())
A = [K] * N
B = ["Yes"] *N
if K>Q:
    for i in range(N):
        print(B[i])
else:
    for i in range(Q):
        a=int(input())-1
        for j in range(N):
            if j!=a and A[j]>0:
                A[j]=A[j]-1
    for k in range(N):
        if A[k]>0:
            print("Yes")
        else:
            print("No")

Fixed submission:
N,K,Q=map(int,input().split())
A = [0] * N
if K>Q:
    for i in range(N):
        print("Yes")
else:
    for i in range(Q):
        a=int(input())-1
        A[a]+=1
    for k in range(N):
        if K>Q-A[k]:
            print("Yes")
        else:
            print("No")

Buggy python submission (verdict: Time Limit Exceeded):
N,K,Q=map(int,input().split())
A = [K] * N
for i in range(Q):
    a=int(input())-1
    for j in range(N):
        if j!=a:
            A[j]=A[j]-1
for k in range(N):
    if A[k]>0:
        print("Yes")
    else:
        print("No")

Fixed submission:
N,K,Q=map(int,input().split())
A = [0] * N
if K>Q:
    for i in range(N):
        print("Yes")
else:
    for i in range(Q):
        a=int(input())-1
        A[a]+=1
    for k in range(N):
        if K>Q-A[k]:
            print("Yes")
        else:
            print("No")
Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
A=list(map(int,input().split()))
A.sort()
for i in range(M):
    A[N-1]=A[N-1]//2
    if A[N-2]>A[N-1]:
        A.sort()
    if A[N-1]==0:
        break
print(sum(A))

Fixed submission:
import heapq
N,M=map(int,input().split())
A=[-1*int(i) for i in input().split()]
heapq.heapify(A)
for _ in range(M):
    a=-1*heapq.heappop(A)
    a=a//2
    heapq.heappush(A,-1*a)
print(-1*sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
A=[int(i) for i in input().split()]
A.sort()
cost=sum(A)
for i in range(M):
    if A[N-1]%2==0:
        cost-=A[N-1]//2
    else:
        cost-=A[N-1]//2+1
    A[N-1]=A[N-1]//2
    if A[N-2]>A[N-1]:
        A.sort()
print(cost)

Fixed submission:
import heapq
N,M=map(int,input().split())
A=[-1*int(i) for i in input().split()]
heapq.heapify(A)
for _ in range(M):
    a=-1*heapq.heappop(A)
    a=a//2
    heapq.heappush(A,-1*a)
print(-1*sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
A=list(map(int,input().split()))
A.sort()
cost=sum(A)
for i in range(M):
    if A[N-1]%2==0:
        cost-=A[N-1]//2
    else:
        cost=cost-A[N-1]//2-1
    A[N-1]=A[N-1]//2
    if A[N-2]>A[N-1]:
        A.sort()
print(cost)

Fixed submission:
import heapq
N,M=map(int,input().split())
A=[-1*int(i) for i in input().split()]
heapq.heapify(A)
for _ in range(M):
    a=-1*heapq.heappop(A)
    a=a//2
    heapq.heappush(A,-1*a)
print(-1*sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
A=list(map(int,input().split()))
A.sort()
for i in range(M):
    A[N-1]=A[N-1]//2
    if A[N-2]>A[N-1]:
        A.sort()
print(sum(A))

Fixed submission:
import heapq
N,M=map(int,input().split())
A=[-1*int(i) for i in input().split()]
heapq.heapify(A)
for _ in range(M):
    a=-1*heapq.heappop(A)
    a=a//2
    heapq.heappush(A,-1*a)
print(-1*sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
A=list(map(int,input().split()))
A.sort()
for i in range(M):
    A[N-1]=A[N-1]//2
    A.sort()
print(sum(A))

Fixed submission:
import heapq
N,M=map(int,input().split())
A=[-1*int(i) for i in input().split()]
heapq.heapify(A)
for _ in range(M):
    a=-1*heapq.heappop(A)
    a=a//2
    heapq.heappush(A,-1*a)
print(-1*sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
A=list(map(int,input().split()))
A.sort()
for i in range(M):
    A[N-1]=A[N-1]//2
    A.sort()
cost=0
for j in range(N):
    cost+=A[j]
print(cost)

Fixed submission:
import heapq
N,M=map(int,input().split())
A=[-1*int(i) for i in input().split()]
heapq.heapify(A)
for _ in range(M):
    a=-1*heapq.heappop(A)
    a=a//2
    heapq.heappush(A,-1*a)
print(-1*sum(A))
Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(10 ** 6)
def input():
    return sys.stdin.readline()[:-1]

N,Q=map(int,input().split())
graph=[[]for _ in range(N)]
point=[0]*N
for _ in range(N-1):
    a,b=map(int,input().split())
    graph[a-1].append(b-1)
    graph[b-1].append(a-1)
for _ in range(Q):
    a,b=map(int,input().split())
    a=a-1
    point[a]=point[a]+b

def dfs(now,prev=-1):
    for next in graph[now]:
        if next==prev:
            continue
        point[next]=point[next]+point[now]
        dfs(next,now)
dfs(0)
print(*point)

Fixed submission:
a=int(input())
s=input()
if(a>=3200):
    print(s)
else:
    print("red")
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
S=[]
count=0
for i in range(N):
    s=sorted(input())
    S.append(s)
for i in range(N):
    for j in range(i+1,N):
        if(S[i]==S[j]):
            count += 1
print(count)

Fixed submission:
N=int(input())
S=[]
count=0
ans=0
for i in range(N):
    s=sorted(input())
    S.append(s)
S.sort()
x=S[0]
for i in range(1,N):
    if(S[i]==x):
        count += 1
    else:
        ans=ans+(count+1)*count//2
        count=0
        x=S[i]
ans=ans+(count+1)*count//2
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
H=list(map(int,input().split()))
H.append(0)
h1=0
h2=0
a=0
for i in range(N-1):
    h1=H[i+1]-H[i]
    if h1<-1:
        a=1
        break
    elif h1==-1:
        for j in range(1,N-i):
            h2=H[i]-H[i+j]
            if h2>=2:
                a=1
                break
    if a==1:
        break
if a==0:
    print('Yes')
else:
    print('No')

Fixed submission:
N=int(input())
H=list(map(int,input().split()))
a=0
for i in range(N-1)[::-1]:
    if H[i]>H[i+1]:
        H[i]-=1
for i in range(N-1):
    if H[i]>H[i+1]:
        a=1
        break
if a==0:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
H=list(map(int,input().split()))
H.append(0)
h1=0
h2=0
a=0
for i in range(N-1):
    if a==1:
        break
    h1=H[i+1]-H[i]
    if h1<-1:
        a=1
    elif h1==-1:
        for j in range(1,N-i):
            h2=H[i]-H[i+j]
            if h2>=2:
                a=1
                break
if a==0:
    print('Yes')
else:
    print('No')

Fixed submission:
N=int(input())
H=list(map(int,input().split()))
a=0
for i in range(N-1)[::-1]:
    if H[i]>H[i+1]:
        H[i]-=1
for i in range(N-1):
    if H[i]>H[i+1]:
        a=1
        break
if a==0:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
H=list(map(int,input().split()))
a=0
h=0
for i in range(N-1):
    for j in range(1,N-i):
        h=H[i]-H[i+j]
        if h>=2:
            a=1
            break
    if a==1:
        break
if a==0:
    print('Yes')
else:
    print('No')

Fixed submission:
N=int(input())
H=list(map(int,input().split()))
a=0
for i in range(N-1)[::-1]:
    if H[i]>H[i+1]:
        H[i]-=1
for i in range(N-1):
    if H[i]>H[i+1]:
        a=1
        break
if a==0:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
N=int(input())
H=list(map(int,input().split()))
h=0
a=0
for i in range(N-1):
    h1=H[i+1]-H[i]
    if h1<-1:
        a=1
        break
    elif h1==-1:
        h2=H[i+2]-H[i+1]
        if h2<0:
            a=1
            break
if a==0:
    print('Yes')
else:
    print('No')

Fixed submission:
N=int(input())
H=list(map(int,input().split()))
a=0
for i in range(N-1)[::-1]:
    if H[i]>H[i+1]:
        H[i]-=1
for i in range(N-1):
    if H[i]>H[i+1]:
        a=1
        break
if a==0:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=[]
ans=0
for i in range(N):
    a=int(input())
    A.append(a)
cl=[A[-1]]
ans=1
for i in range(N-1)[::-1]:
    a=A[i]
    flag=0
    for j in range(len(cl))[::-1]:
        if cl[j]>a:
            cl[j]=a
            flag=1
            break
    if flag==0:
        cl.append(a)
        ans+=1
print(ans)

Fixed submission:
import bisect
N=int(input())
A=[]
ans=0
for i in range(N):
    a=int(input())
    A.append(a)
cl=[A[-1]]
ans=1
for i in range(N-1)[::-1]:
    a=A[i]
    if a>=cl[-1]:
        cl.append(a)
        ans+=1
    else:
        b=bisect.bisect_right(cl,a)
        cl[b]=a
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N=int(input())
A=[]
ans=0
for i in range(N):
    a=int(input())
    A.append(a)
cl=[A[-1]]
ans=1
for i in range(N-1)[::-1]:
    a=A[i]
    flag=0
    for j in range(len(cl)):
        if cl[j]>a:
            cl[j]=a
            flag=1
            break
    if flag==0:
        cl.append(a)
        ans+=1
        cl.sort()
print(ans)

Fixed submission:
import bisect
N=int(input())
A=[]
ans=0
for i in range(N):
    a=int(input())
    A.append(a)
cl=[A[-1]]
ans=1
for i in range(N-1)[::-1]:
    a=A[i]
    if a>=cl[-1]:
        cl.append(a)
        ans+=1
    else:
        b=bisect.bisect_right(cl,a)
        cl[b]=a
print(ans)
Buggy python submission (verdict: Runtime Error):
L,R=map(int,input().split())
l=L//2019
r=R//2019
if l==r:
    for i in range(L,R+1):
        for j in range(i+1,R+1):
            a=i*j
            b=a%2019
            if c>b:
                c=b
        if c==0:
            break
    print(c)
else:
    print(0)

Fixed submission:
L,R=map(int,input().split())
c=2019
z=0
for i in range(L,R+1):
    for j in range(i+1,R+1):
        a=i*j
        b=a%2019
        if c>b:
            c=b
        if c==0:
            z=1
            break
    if z==1:
        break
print(c)

Buggy python submission (verdict: Time Limit Exceeded):
L,R=map(int,input().split())
c=2019
for i in range(L,R+1):
    for j in range(i+1,R+1):
        a=i*j
        b=a%2019
        if c>b:
            c=b
    if c==0:
        break
print(c)

Fixed submission:
L,R=map(int,input().split())
c=2019
z=0
for i in range(L,R+1):
    for j in range(i+1,R+1):
        a=i*j
        b=a%2019
        if c>b:
            c=b
        if c==0:
            z=1
            break
    if z==1:
        break
print(c)
Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
S=list(map(int,input().split()))
T=list(map(int,input().split()))
MOD=10**9+7
ans=0
dp=[[0]*(M+1) for _ in range(N+1)]
ans=[[0]*(M+1) for _ in range(N+1)]
for i in range(N):
    for j in range(M):
        if S[i]==T[j]:
            dp[i+1][j+1]=(ans[i][j]+1)%MOD
        else:
            dp[i+1][j+1]=0
        ans[i+1][j+1]=(ans[i][j+1]+ans[i+1][j]-ans[i][j]+dp[i+1][j+1])%MOD
print((ans[N][M]+1)%MOD)

Fixed submission:
N,M=map(int,input().split())
S=list(map(int,input().split()))
T=list(map(int,input().split()))
MOD=10**9+7
ans=0
dp=[[0]*(M+1) for _ in range(N+1)]
ans=[[0]*(M+1) for _ in range(N+1)]
for i in range(N):
    for j in range(M):
        if S[i]==T[j]:
            dp[i+1][j+1]=(ans[i][j]+1)%MOD
        else:
            dp[i+1][j+1]=0
        ans[i+1][j+1]=(ans[i][j+1]+ans[i+1][j]-ans[i][j]+dp[i+1][j+1])%MOD
print((ans[N][M]+1)%MOD)
Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())
A=[]
B=[]
a=[]
a.append(0)
x=0
d=1
A.append(1)
A.append(2)
B.append(1)
B.append(1)
for j in range(2,N):
    A.append(A[j-1]+A[j-2])
    B.append(B[j-1]+B[j-2])
for i in range(1,M+1):
    a.append(int(input()))
    if a[i-1]==0:
        if a[i]==1:
            d=1
        else:
            x=A[a[i]-a[i-1]-2]
            d=d*x%(10**9+7)
    else:
        x=B[a[i]-a[i-1]-2]
        d=d*x%(10**9+7)
    if i>1:
        if a[i]-a[i-1]==1:
            d=0
            break
c=N-a[M]
if c==1:
    print(d)
else:
    x=A[N-a[M]-2]
    d=d*x%(10**9+7)
    print(d)

Fixed submission:
N,M=map(int,input().split())
A=[]
B=[]
a=[]
a.append(0)
x=0
d=1
A.append(1)
A.append(2)
B.append(1)
B.append(1)
for j in range(2,N):
    A.append(A[j-1]+A[j-2])
    B.append(B[j-1]+B[j-2])
for i in range(1,M+1):
    a.append(int(input()))
    if a[i-1]==0:
        if a[i]==1:
            d=1
        else:
            x=A[a[i]-a[i-1]-2]
            d=d*x%(10**9+7)
    else:
        x=B[a[i]-a[i-1]-2]
        d=d*x%(10**9+7)
    if i>1:
        if a[i]-a[i-1]==1:
            d=0
c=N-a[M]
if c==1:
    print(d)
elif c==N:
    x=A[c-1]
    d=d*x%(10**9+7)
    print(d)
else:
    x=A[N-a[M]-2]
    d=d*x%(10**9+7)
    print(d)

Buggy python submission (verdict: Runtime Error):
N,M=map(int,input().split())
A=[]
a=[]
a.append(0)
x=0
d=1
A.append(1)
A.append(2)
for j in range(2,N):
    A.append(A[j-1]+A[j-2])
for i in range(1,M+1):
    a.append(int(input()))
    x=A[a[i]-a[i-1]-2]
    d=d*x
    if i>1:
        if a[i]-a[i-1]==1:
            d=0
x=A[N-a[M]-2]
d=d*x
print(A[21],A[11])
print(d%(10**9+7))

Fixed submission:
N,M=map(int,input().split())
A=[]
B=[]
a=[]
a.append(0)
x=0
d=1
A.append(1)
A.append(2)
B.append(1)
B.append(1)
for j in range(2,N):
    A.append(A[j-1]+A[j-2])
    B.append(B[j-1]+B[j-2])
for i in range(1,M+1):
    a.append(int(input()))
    if a[i-1]==0:
        if a[i]==1:
            d=1
        else:
            x=A[a[i]-a[i-1]-2]
            d=d*x%(10**9+7)
    else:
        x=B[a[i]-a[i-1]-2]
        d=d*x%(10**9+7)
    if i>1:
        if a[i]-a[i-1]==1:
            d=0
c=N-a[M]
if c==1:
    print(d)
elif c==N:
    x=A[c-1]
    d=d*x%(10**9+7)
    print(d)
else:
    x=A[N-a[M]-2]
    d=d*x%(10**9+7)
    print(d)
Buggy python submission (verdict: Time Limit Exceeded):
N,Q=map(int,input().split())
road=[]
Ans=[]
for i in range(N):
    s,t,x=map(int,input().split())
    road.append((x,s-0.5-x,t-0.5-x))
road.sort()
for i in range(Q):
    s=int(input())
    ans=-1
    for i in range(N):
        if road[i][1]<=s<=road[i][2]:
            ans=road[i][0]
            break
    Ans.append(ans)
for i in range(Q):
    print(Ans[i])

Fixed submission:
import bisect
N,Q=map(int,input().split())
road=[]
pos=[]
for _ in range(N):
    s,t,x=map(int,input().split())
    road.append((s-x,t-x,x))
for _ in range(Q):
    pos.append(int(input()))
road.sort(key=lambda x:x[2])
ans=[-1]*Q
ischecked=[-1]*Q
for s,t,x in road:
    l=bisect.bisect_left(pos,s)
    r=bisect.bisect_left(pos,t)
    while l<r:
        if ischecked[l]==-1:
            ischecked[l]=r
            ans[l]=x
            l+=1
        else:
            l=ischecked[l]
for i in range(Q):
    print(ans[i])
Buggy python submission (verdict: Runtime Error):
n=input()
n1=n[:2]
n2=n[2:4]
A=int(n1)
B=int(n2)
elif 1<=A and A<=12:
    if 1<=B and B<=12:
        print("AMBIGUOUS")
    else:
        print("MMYY")
else:
    if 1<=B and B<=12:
        print("YYMM")
    else:
        print("NA")


Fixed submission:
n=input()
n1=n[:2]
n2=n[2:]
A=int(n1)
B=int(n2)
if 0<A<13:
    if 0<B<13:
        print("AMBIGUOUS")
    else:
        print("MMYY")
else:
    if 0<B<13:
        print("YYMM")
    else:
        print("NA")

Buggy python submission (verdict: Runtime Error):
n=input()
n1=n[:2]
n2=n[2:4]
A=int(n1)
B=int(n2)
elif 1<=A and A<=12:
    if 1<=B and B<=12:
        print("AMBIGUOUS")
    else:
        print("MMYY")
else:
    if 1<=B and B<=12:
        print("YYMM")
    else:
        print("NA")


Fixed submission:
n=input()
n1=n[:2]
n2=n[2:]
A=int(n1)
B=int(n2)
if 0<A<13:
    if 0<B<13:
        print("AMBIGUOUS")
    else:
        print("MMYY")
else:
    if 0<B<13:
        print("YYMM")
    else:
        print("NA")

Buggy python submission (verdict: Runtime Error):
n=input()
k=input()
S=input()
N=int(n)
K=int(k)
S_list=list(S)
if S[K-1]=="A":
 S_list[K-1]="a"
elif S[K-1]=="B":
 S_list[K-1]="b"
elif S[K-1]=="C":
 S_list[K-1]="c"
S="".join(S_list)
print(S)

Fixed submission:
n=input()
n1=n[:2]
n2=n[2:]
A=int(n1)
B=int(n2)
if 0<A<13:
    if 0<B<13:
        print("AMBIGUOUS")
    else:
        print("MMYY")
else:
    if 0<B<13:
        print("YYMM")
    else:
        print("NA")
Buggy python submission (verdict: Time Limit Exceeded):
X,Y,Z,K=map(int,input().split())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))
D=[]
for i in range(X):
    for j in range(Y):
        D.append(A[X-1-i]+B[Y-1-j])
D.sort()
ans=[]
for i in range(min(K,len(D))):
    for j in range(min(K,Z)):
        ans.append(D[len(D)-1-i]+C[Z-1-j])
ans.sort()
for i in range(K):
    print(ans[len(ans)-1-i])

Fixed submission:
X,Y,Z,K=map(int,input().split())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))
A.sort(reverse=True)
B.sort(reverse=True)
C.sort(reverse=True)
ans=[]
for i in range(X):
    for j in range(Y):
        for k in range(Z):
            if (i+1)*(j+1)*(k+1)>K:
                break
            else:
                ans.append(A[i]+B[j]+C[k])
ans.sort(reverse=True)
for i in range(K):
    print(ans[i])

Buggy python submission (verdict: Time Limit Exceeded):
X,Y,Z,K=map(int,input().split())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))
A.sort()
B.sort()
C.sort()
D=[]
for i in range(min(K,X)):
    for j in range(min(K,Y)):
        D.append(A[X-1-i]+B[Y-1-j])
D.sort()
ans=[]
for i in range(min(K,len(D))):
    for j in range(min(K,Z)):
        ans.append(D[len(D)-1-i]+C[Z-1-j])
ans.sort()
for i in range(K):
    print(ans[len(ans)-1-i])

Fixed submission:
X,Y,Z,K=map(int,input().split())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
C=list(map(int,input().split()))
A.sort(reverse=True)
B.sort(reverse=True)
C.sort(reverse=True)
ans=[]
for i in range(X):
    for j in range(Y):
        for k in range(Z):
            if (i+1)*(j+1)*(k+1)>K:
                break
            else:
                ans.append(A[i]+B[j]+C[k])
ans.sort(reverse=True)
for i in range(K):
    print(ans[i])
Buggy python submission (verdict: Time Limit Exceeded):
N,M=map(int,input().split())
scan=[]
gcan=[]
flag=0
for i in range(M):
    a,b=map(int,input().split())
    if a==1:
        scan.append(b)
    if b==N:
        gcan.append(a)
for i in scan:
    for j in gcan:
        if i==j:
            flag=1
            break
    if flag==1:
        break
if flag==1:
    print("POSSIBLE")
else:
    print("IMPOSSIBLE")

Fixed submission:
N,M=map(int,input().split())
scan=[]
gcan=[]
flag=0
for i in range(M):
    a,b=map(int,input().split())
    if a==1:
        scan.append(b)
    if b==N:
        gcan.append(a)
if set(scan)&set(gcan):
    flag=1
if flag==1:
    print("POSSIBLE")
else:
    print("IMPOSSIBLE")
Buggy python submission (verdict: Runtime Error):
import numpy as np
number=input().rstrip().split(' ')
N=int(number[0])
M=int(number[1])
judge=np.zeros([N-1])

for i in range(M):
    cities=input().rstrip().split(' ')
    A=int(cities[0])
    judge[A-1]=1

print(np.count_nonzero(judge==0))

Fixed submission:
K=int(input())
print("ACL"*K)

Buggy python submission (verdict: Runtime Error):
import numpy as np
number=input().rstrip().split(' ')
N=int(number[0])
M=int(number[1])
judge=np.zeros([N-1],dtype=np.int16)

for i in range(M):
    cities=input().rstrip().split(' ')
    A=int(cities[0])
    judge[A-1]=1

print(np.count_nonzero(judge==0))

Fixed submission:
K=int(input())
print("ACL"*K)
Buggy python submission (verdict: Runtime Error):
import numpy as np
number=input().rstrip().split(' ')

N=int(number[0])
M=int(number[1])
judge=np.zeros([N-1,N],dtype=np.int16)

for i in range(M):
    cities=input().rstrip().split(' ')
    A=int(cities[0])
    B=int(cities[1])
    judge[A-1][B-1]=1
    
print(np.count_nonzero(np.all(judge==0,axis=1)))

Fixed submission:
from networkx import *
 
n,m = map(int, input().split())
G = Graph()
 
for i in range(m):
    a,b = map(int, input().split())
    G.add_edges_from([(a, b)])
 
m3 = list(connected_components(G))

count = 0
 
if len(max(connected_components(G), key=len)) == n:
    print(0)
    exit()
else:
    for i in m3:
        count += len(i)
 
sub = n - count
 
print((len(m3)-1)+sub)
Buggy python submission (verdict: Runtime Error):
N , K = map( int , input().strip().split(" ") ) ;

arr = [ 1 for x in range ( N ) ] ;
for x in range ( K ) :
	r = input() ;
	for x in map( int, input().strip().split(" ") ) :
		arr[x-1] = 0 ;
print ( sum( arr ) ) ;

Fixed submission:
X = int( input().strip() ) ;

d = {} ;
for x in range ( 150 ) : 
	v1 = pow ( x, 5 ) ; 
	d[x] = v1 ; 
	d[-x] = -v1 ;
ans = None ;
for A in d :
	if not ans is None :
		break ;
	for B in d :
		if d[A] - d[B] == X : 
			ans = ( A, B, ) ; 
			break ;
if not ans is None :
	print ( "{0} {1}".format ( ans[0] , ans[1] ) );
Buggy python submission (verdict: Time Limit Exceeded):
arr = [ 0 for x in range ( 1000 +1 ) ] ;
for k in range ( 1 , len( arr  ) ) : 
	arr[k] += ( k * ( k + 1 ) ) / k / 2 ;

N , K = map( int , input().strip().split(" ") ) ; 
LL = list( map( int , input().strip().split(" " ) ) );

m = 0  ;
for r in range ( N ) :
	if r + K > N : break ;
	v = sum ( map ( lambda x:arr[x] , LL[r:r+K] ) ) ; 
	m = max ( m , v) ; 
print ( "{0:.8f}".format(  m ) ) ;

Fixed submission:

N , K = map( int , input().strip().split(" ") ) ; 
LL = [] ;
for x in input().strip().split(" " ) :
	k = int(x ) ;
	LL.append(  ( k * ( k + 1 ) ) / k / 2 ) ;

LL2 = [] ;
LL2.append( LL[0] ) ;
for x in range ( 1 , len( LL ) ) :
	LL2.append( LL2[-1] + LL[x] ) ;



v0 = 0 ;
for x in range ( K-1 , N  ) : 
	d = 0. if x - K < 0 else LL2[x-K];
	v = LL2[x] -d ;
	v0 = max ( v , v0 ) ;
print ( "{0:.8f}".format(  v0 ) ) ;
Buggy python submission (verdict: Runtime Error):
k = input()
text = "ACL"*k
print(k)

Fixed submission:
k = int(input())
text = "ACL" * k
print(text)

Buggy python submission (verdict: Runtime Error):
return "ACL"*K

Fixed submission:
k = int(input())
text = "ACL" * k
print(text)

Buggy python submission (verdict: Runtime Error):
text = "ACL"
output = text * K
print(output)

Fixed submission:
k = int(input())
text = "ACL" * k
print(text)

Buggy python submission (verdict: Runtime Error):
text = "ACL"*int(K)
print(text)

Fixed submission:
k = int(input())
text = "ACL" * k
print(text)

Buggy python submission (verdict: Runtime Error):
text = "ACL"*K
print(text)

Fixed submission:
k = int(input())
text = "ACL" * k
print(text)

Buggy python submission (verdict: Runtime Error):
a,b,c,d=list(map(int ,input().split()))
max_v=max(a,c)
min_v=min(b,d)
if(max_v-min_v>0 or min_v-max_v<0):
  print("No")
elif(max_v-min_v>0):
  print("Yes")


Fixed submission:
n=int(input())
s=""
for i in range(0,n):
    s+="ACL"

print(s)
Buggy python submission (verdict: Runtime Error):
# cook your dish here
n,x,t=list(map(int,input().split()))
rate=int(x/t)
if(rate==0 or rate==1):
    answer=n*t
    print(int(answer))
elif(rate!=0 and rate!=1):
    answer=n/rate
    print(int(answer))
elif(n==20 , x=12 , t=6 ):
    print(12)

Fixed submission:
import math
 
n, x, t = map(int, input().split())
 
# count = math.ceil(n / x)
# print(count * t)
 
count = n // x
if n % x != 0:
    count = count + 1
print(count * t)