Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = [int(i) for i in input().split()]

ans = 0
for i,a in enumerate(A):
        ans += 1
        sum_tmp = a
        xor_tmp = a
        for j in range(i+1,N):
                sum_tmp += A[j]
                xor_tmp ^= A[j]
                if(sum_tmp == xor_tmp):
                        ans += 1
                        continue
                break

print(ans)

Fixed submission:
N = int(input())
A = [int(i) for i in input().split()]

ans = 0

sum_tmp = A[0]
xor_tmp = A[0]
l = 0
r = 1
while True:
        if r == N:
                ans += (r - l)
                if l == N - 1:
                        break
                else:
                        l += 1
                        continue

        if sum_tmp + A[r] == xor_tmp ^ A[r]:
                sum_tmp += A[r]
                xor_tmp ^= A[r]
                r += 1
                continue

        ans += (r - l)

        if l+1 == r:
                l += 1
                r += 1
                sum_tmp = A[l]
                xor_tmp = A[l]
                continue

        sum_tmp -= A[l]
        xor_tmp ^= A[l]
        l += 1

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
s = input()
K = int(input())

substring = []
for length in range(1,len(s)+1):
    for start in range(0,len(s)+1-length):
        substring.append(s[start:start+length])

substring_uniq = list(set(substring))
substring_uniq.sort()
print(substring_uniq[K-1])

Fixed submission:
s = input()
K = int(input())

substring = []
for length in range(1,6):
    for start in range(0,len(s)+1-length):
        substring.append(s[start:start+length])

substring_uniq = list(set(substring))
substring_uniq.sort()
print(substring_uniq[K-1])
Buggy python submission (verdict: Runtime Error):
A = list(map(int,input().split()))
K = int(input())
 
A = A.sort
ans =A[0]+A[1]+A[2]*(2**K)

print(ans)

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

if a<=b:
    print(a)
else:
    print(a-1)

Buggy python submission (verdict: Runtime Error):
A = list(map(int,input().split()))
K = int(input())
 
A.sort()
print(A[0]+A[1]+A[2]*2**K)

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

if a<=b:
    print(a)
else:
    print(a-1)

Buggy python submission (verdict: Runtime Error):
A = list(map(int,input().split()))
K = int(input())
 
A.sort()
ans =A[0]+A[1]+A[2]*(2**K)

print(ans)

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

if a<=b:
    print(a)
else:
    print(a-1)
Buggy python submission (verdict: Time Limit Exceeded):
Q = int(input())
AB = [list(map(int,input().split())) for _ in range(Q)]

def cn(A,B):
    ans = 0
    pre = B
    score = A*B
    for i in range(A+1,score+1):
        tmp = (score-1)//i
        if tmp < 1:
            break
        if tmp == pre:
            ans += pre-1
            break
        ans += 1
        pre = tmp
    return ans
for ab in AB:
    print(cn(ab[0],ab[1])+cn(ab[1],ab[0]))


Fixed submission:
Q = int(input())
AB = [list(map(int,input().split())) for _ in range(Q)]

def cn(A,B):
    score = A*B-1
    L = A+1
    R = score
    if L>R:
        return 0
    while L!=R:
        tmp = (L+R)//2
        if score > tmp*(tmp+1):
            L = tmp+1
        else:
            R = tmp
    return (L-1-A+score//L)
for ab in AB:
    print(cn(ab[0],ab[1])+cn(ab[1],ab[0]))
Buggy python submission (verdict: Runtime Error):
A,B = map(int,input().split())
print("100 100")
ans = [["#"]*100 for _ in range(50)] + [["."]*100 for _ in range(50)]
A -=1
B -=1

wR = 0 
while A>=50:
    A -= 50
    [ans[wR][i]="." for i in range(0,100,2)]
    wR += 2
     
wC = 0
while A>0:
    A -= 1
    ans[wR][wC]="."
    wC += 2
    
bR=99
while B>=50:
    B -= 50
    [ans[bR][i]="#" for i in range(0,100,2)]
    bR -= 2
    
bC = 0
while B>0:
    B -= 1
    ans[bR][bC]="#"
    bC += 2

[print("".join(i)) for i in ans]


Fixed submission:
A,B = map(int,input().split())
print("100 100")
ans = [["#"]*100 for _ in range(50)] + [["."]*100 for _ in range(50)]
A -=1
B -=1

wR = 0 
while A>=50:
    A -= 50
    for i in range(0,100,2):
        ans[wR][i]="."
    wR += 2
     
wC = 0
while A>0:
    A -= 1
    ans[wR][wC]="."
    wC += 2
    
bR=99
while B>=50:
    B -= 50
    for i in range(0,100,2):
        ans[bR][i]="#"
    bR -= 2
    
bC = 0
while B>0:
    B -= 1
    ans[bR][bC]="#"
    bC += 2

[print("".join(i)) for i in ans]
Buggy python submission (verdict: Runtime Error):
N = int(input())
S = [s for _ in input().split()]

ans = "Three"

for s in S:   
    if s == "Y":
        ans = "Four"
        break
print(ans)


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

ans = "Three"

for s in S:   
    if s == "Y":
        ans = "Four"
        break
print(ans)
Buggy python submission (verdict: Runtime Error):
C = [[int(c) for c in input.split()] for _ in range(3)]

if((C[0][0]-C[1][0]==C[0][1]-C[1][1]==C[0][2]-C[1][2])                    
        and(C[0][0]-C[2][0]==C[0][1]-C[2][1]==C[0][2]-C[2][2])):                  
    print("Yes")
else:
    print("No")

Fixed submission:
C = []
for _ in range(3):
    c = list(map(int,input().split()))
    C.append(c)

if((C[0][0]-C[1][0]==C[0][1]-C[1][1])and(C[0][0]-C[1][0]==C[0][2]-C[1][2])
        and(C[0][0]-C[2][0]==C[0][1]-C[2][1])and(C[0][0]-C[2][0]==C[0][2]-C[2][2])
        and(C[0][0]-C[0][1]==C[1][0]-C[1][1])and(C[0][0]-C[0][1]==C[2][0]-C[2][1])
        and(C[0][0]-C[0][2]==C[1][0]-C[1][2])and(C[0][0]-C[0][2]==C[2][0]-C[2][2])):
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
C = []
for _ in range(3):
    c = list(map(int,input().split()))
    C.append(c)

if((C[0][0]-C[1][0]==C[0][1]-C[1][1]==C[0][2]-C[1][2])                    
        and(C[0][0]-C[2][0]==C[0][1]-C[2][1]==C[0][2]-C[2][2]):                   
    print("Yes")
else:
    print("No")


Fixed submission:
C = []
for _ in range(3):
    c = list(map(int,input().split()))
    C.append(c)

if((C[0][0]-C[1][0]==C[0][1]-C[1][1])and(C[0][0]-C[1][0]==C[0][2]-C[1][2])
        and(C[0][0]-C[2][0]==C[0][1]-C[2][1])and(C[0][0]-C[2][0]==C[0][2]-C[2][2])
        and(C[0][0]-C[0][1]==C[1][0]-C[1][1])and(C[0][0]-C[0][1]==C[2][0]-C[2][1])
        and(C[0][0]-C[0][2]==C[1][0]-C[1][2])and(C[0][0]-C[0][2]==C[2][0]-C[2][2])):
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
C = []
for _ in range(3):
    c = list(map(int,input().split()))
    C.append(c)

if((C[1][1]-C[2][1]==C[1][2]-C[2][2])and(C[1][1]-C[2][1]==C[1][3]-C[2][3])
        and(C[1][1]-C[3][1]==C[1][2]-C[3][2])and(C[1][1]-C[3][1]==C[1][3]-C[3][3])
        and(C[1][1]-C[1][2]==C[2][1]-C[2][2])and(C[1][1]-C[1][2]==C[3][1]-C[3][2])
        and(C[1][1]-C[1][3]==C[2][1]-C[2][3])and(C[1][1]-C[1][3]==C[3][1]-C[3][3])):
    print("Yes")
else:  
    print("No")


Fixed submission:
C = []
for _ in range(3):
    c = list(map(int,input().split()))
    C.append(c)

if((C[0][0]-C[1][0]==C[0][1]-C[1][1])and(C[0][0]-C[1][0]==C[0][2]-C[1][2])
        and(C[0][0]-C[2][0]==C[0][1]-C[2][1])and(C[0][0]-C[2][0]==C[0][2]-C[2][2])
        and(C[0][0]-C[0][1]==C[1][0]-C[1][1])and(C[0][0]-C[0][1]==C[2][0]-C[2][1])
        and(C[0][0]-C[0][2]==C[1][0]-C[1][2])and(C[0][0]-C[0][2]==C[2][0]-C[2][2])):
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
X,Y = map(int,input())
if X==Y:
  print(-1)
elif 2*X!=Y:
  print(2*X)
else:
  print(3*X)

Fixed submission:
X,Y = map(int,input().split())
if X%Y==0:
  print(-1)
else:
  print(X)
Buggy python submission (verdict: Runtime Error):
INF = 10**20
N,M = map(int,input().split())
node = [[] for _ in range(N)]
for _ in range(M):
  l,r,d = map(int,input().split())
  node[l-1].append([r-1,d])
  node[r-1].append([l-1,-1*d])

ans = "Yes"
pos = [INF]*N
for i in range(N):
  if pos[i]==INF:
    que = [[i,0]]
    while(que):
      c,cp = que.pop()
      if pos[c]=INF:
        pos[c] = cp
        for n,d in node[c]:
          if pos[n]==INF:
            que.append([n,cp+d])
          elif pos[n] != cp+d:
            ans="No"
            break
        else:
          continue
        break
      elif pos[c] != cp:
        ans="No"
        break
    else:
      continue
    break
print(ans)
      
      
    

Fixed submission:
INF = 10**20
N,M = map(int,input().split())
node = [[] for _ in range(N)]
for _ in range(M):
  l,r,d = map(int,input().split())
  node[l-1].append([r-1,d])
  node[r-1].append([l-1,-1*d])

ans = "Yes"
pos = [INF]*N
for i in range(N):
  if pos[i]==INF:
    que = [[i,0]]
    while(que):
      c,cp = que.pop()
      if pos[c]==INF:
        pos[c] = cp
        for n,d in node[c]:
          if pos[n]==INF:
            que.append([n,cp+d])
          elif pos[n] != cp+d:
            ans="No"
            break
        else:
          continue
        break
      elif pos[c] != cp:
        ans="No"
        break
    else:
      continue
    break
print(ans)
Buggy python submission (verdict: Runtime Error):
N,C = map(int,input().split())
ST = []
STC = [[] for _ in range(C)]
for _ in range(N):
  s,t,c = map(int,input().split())
  STC[c-1].append([s,t])
for i in range(C):
  STC[i].sort(key=lambda x:x[0])
  s=STC[i][0][0]
  t=STC[i][0][1]
  for j in range(1,len(STC[i])):
    if t==STC[i][j][0]:
      t=STC[i][j][1]
      if j==len(STC[i])-1:
        ST.append([s,0])
        ST.append([t,1])
    else:
      ST.append([s,0])
      ST.append([t,1])
ST.sort(key=lambda x:x[1])
ST.sort(key=lambda x:x[0])

ans =[0]
for st in ST:
  if st[1]==0:
    ans.append(ans[-1]+1)
  else:
    ans.append(ans[-1]-1)
print(max(ans))



Fixed submission:
N,C = map(int,input().split())
ST = []
for _ in range(N):
  s,t,c = map(int,input().split())
  ST.append([s,0,c])
  ST.append([t,1,c])
ST.sort(key=lambda x:x[0])
ST.sort(key=lambda x:x[2])
for i in range(len(ST)-1):
  if ST[i][2]==ST[i+1][2] and ST[i][0]==ST[i+1][0]:
    ST[i][1]=2
    ST[i+1][1]=2

ST.sort(key=lambda x:x[1])
ST.sort(key=lambda x:x[0])

ans =[0]
for st in ST:
  if st[1]==0:
    ans.append(ans[-1]+1)
  elif st[1]==1:
    ans.append(ans[-1]-1)
print(max(ans))
Buggy python submission (verdict: Runtime Error):
S = list(input())
dic = {"a":0,"b":0,"c":0}
for s in S:
  dic[s] += 1
if max(dic.value)<=min(dic.value)+1:
  print("YES")
else:
  print("NO")


Fixed submission:
S = list(input())
dic = {"a":0,"b":0,"c":0}
for s in S:
  dic[s] += 1
if max(dic.values())<=min(dic.values())+1:
  print("YES")
else:
  print("NO")
Buggy python submission (verdict: Runtime Error):
import heapq

H,W = map(int,input().split())
C = [[int(x) for x in input().split()] for _ in range(10)]
num = [0] * 10
for _ in range(H):
    for x in input().split():
        if int(x) != -1
            num[int(x)] += 1

que = []
flag = [True]*10
flag[1] = False
cost = [10**10]*10
cost[1] = 0

for i in range(10):
    if flag[i]:
        heapq.heappush(que,[C[i][1],i])

while que:
    a,b = heapq.heappop(que)
    if flag[b]:
        flag[b] = False
        cost[b] = a
        for i in range(10):
            if flag[i]:
                heapq.heappush(que,[C[i][b]+a,i])

ans = 0
for i in range(10):
    ans += num[i]*cost[i]
print(ans)


Fixed submission:
import heapq

H,W = map(int,input().split())
C = [[int(x) for x in input().split()] for _ in range(10)]
num = [0] * 10
for _ in range(H):
    for x in input().split():
        if int(x) != -1:
            num[int(x)] += 1

que = []
flag = [True]*10
flag[1] = False
cost = [10**10]*10
cost[1] = 0

for i in range(10):
    if flag[i]:
        heapq.heappush(que,[C[i][1],i])

while que:
    a,b = heapq.heappop(que)
    if flag[b]:
        flag[b] = False
        cost[b] = a
        for i in range(10):
            if flag[i]:
                heapq.heappush(que,[C[i][b]+a,i])

ans = 0
for i in range(10):
    ans += num[i]*cost[i]
print(ans)

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

H,W = map(int,input().split())
C = [[int(x) for x in input().split()] for _ in range(10)]
num = [0] * 10
for _ in range(H):
    for x in input().split():
        num[int(x)] += 1

que = []
flag = [True]*10
flag[1] = False
cost = [10**10]*10
cost[1] = 0

for i in range(10):
    if flag[i]:
        heqpq.heappush(que,[C[i][1],i])

while que:
    a,b = heapq.heappop(que)
    if flag[b]:
        flag[b] = False
        cost[b] = a
        for i in range(10):
            if flag[i]:
                heapq.heappush(que,[C[i][b]+a,i])

ans = 0
for i in range(10):
    ans += num[i]*cost[i]
print(ans)

Fixed submission:
import heapq

H,W = map(int,input().split())
C = [[int(x) for x in input().split()] for _ in range(10)]
num = [0] * 10
for _ in range(H):
    for x in input().split():
        if int(x) != -1:
            num[int(x)] += 1

que = []
flag = [True]*10
flag[1] = False
cost = [10**10]*10
cost[1] = 0

for i in range(10):
    if flag[i]:
        heapq.heappush(que,[C[i][1],i])

while que:
    a,b = heapq.heappop(que)
    if flag[b]:
        flag[b] = False
        cost[b] = a
        for i in range(10):
            if flag[i]:
                heapq.heappush(que,[C[i][b]+a,i])

ans = 0
for i in range(10):
    ans += num[i]*cost[i]
print(ans)
Buggy python submission (verdict: Runtime Error):
X,Y = map(ord,intput().split())
if X>Y:
  print(">")
elif X<Y:
  print("<")
else:
  print("=")

Fixed submission:
X,Y = input().split() 
if X>Y:
  print(">")
elif X<Y:
  print("<")
else:
  print("=")

Buggy python submission (verdict: Runtime Error):
X,Y = intput().split()
if X>Y:
  print(">")
elif X<Y:
  print("<")
else:
  print("=")

Fixed submission:
X,Y = input().split() 
if X>Y:
  print(">")
elif X<Y:
  print("<")
else:
  print("=")
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = [int(a) for a in input().split()]
B = [int(b) for b in input().split()]
C = [int(c) for c in input().split()]

A.sort()
B.sort()
C.sort()

A_pat = [0] * N
B_pat = [0] * N

c = 0
for b in range(N):
    for i in range(c,N):
        if B[b] < C[i]:
            c = i
            B_pat[b] = N-i
            break

B_pat_sum = [0]*N
B_pat_sum[N-1] = B_pat[N-1]
for i in range(N-2,-1,-1):
    B_pat_sum[i] = B_pat_sum[i+1] + B_pat[i]

b = 0
for a in range(N):
    for i in range(b,N):
        if A[a] < B[i]:
            b = i
            A_pat[a] = B_pat_sum[i]
            break
print(sum(A_pat))


Fixed submission:
N = int(input())
A = [[int(a),"A"] for a in input().split()]
B = [[int(b),"B"] for b in input().split()]
C = [[int(c),"C"] for c in input().split()]

parts = A+B+C
parts.sort(key = lambda x:x[1])
parts.sort(reverse = True,key = lambda x:x[0])

A_pat = [0]  
B_pat = [0]
C_count = 0

for s,t in parts:
    if t=="C":      
        C_count += 1
    elif t=="B":
        B_pat.append(C_count+B_pat[-1])
    elif t=="A":
        A_pat.append(B_pat[-1]+A_pat[-1])
print(A_pat[-1])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = [int(a) for a in input().split()]
B = [int(b) for b in input().split()]
C = [int(c) for c in input().split()]

A.sort()
B.sort()
C.sort()

A_pat = [0] * N
B_pat = [0] * N

c = 0
for b in range(N):
    for i in range(c,N):
        if B[b] < C[i]:
            c = i                 
            B_pat[b] = N-i   
            break
b = 0       
for a in range(N):
    for i in range(b,N):
        if A[a] < B[i]:
            b = i
            A_pat[a] = sum(B_pat[i:])         
            break
print(sum(A_pat))


Fixed submission:
N = int(input())
A = [[int(a),"A"] for a in input().split()]
B = [[int(b),"B"] for b in input().split()]
C = [[int(c),"C"] for c in input().split()]

parts = A+B+C
parts.sort(key = lambda x:x[1])
parts.sort(reverse = True,key = lambda x:x[0])

A_pat = [0]  
B_pat = [0]
C_count = 0

for s,t in parts:
    if t=="C":      
        C_count += 1
    elif t=="B":
        B_pat.append(C_count+B_pat[-1])
    elif t=="A":
        A_pat.append(B_pat[-1]+A_pat[-1])
print(A_pat[-1])
Buggy python submission (verdict: Time Limit Exceeded):
import sys
def LI(): return([int(x) for x in sys.stdin.readline().split()])

N,K = LI()
XY = [LI() for _ in range(N)]

X = []
Y = []
for x,y in XY:
    if not(x in X):
        X.append(x)
    if not(y in Y):
        Y.append(y)
X.sort()
Y.sort()

ans = []
for xl in range(len(X)-1):
    for xr in range(xl,len(X)):
        for yd in range(len(Y)-1):
            for yu in range(yd,len(Y)):
                ans_tmp = 0
                for x,y in XY:
                    if X[xl]<=x<=X[xr] and Y[yd]<=y<=Y[yu]:
                        ans_tmp += 1
                if ans_tmp >= K:
                    ans.append((X[xr]-X[xl])*(Y[yu]-Y[yd]))
print(min(ans))



Fixed submission:
import sys
def LI(): return([int(x) for x in sys.stdin.readline().split()])

N,K = LI()
XY = [LI() for _ in range(N)]

X = []
Y = []
for x,y in XY:
    if not(x in X):
        X.append(x)
    if not(y in Y):
        Y.append(y)
        
X.sort()
Y.sort()
dic_XoYo = {}
dic_XcYo = {}
dic_XoYc = {}
dic_XcYc = {}
for x1 in X:
  for y1 in Y:
    key = x1*(10**10)+y1
    cnt_XoYo = 0
    cnt_XcYo = 0
    cnt_XoYc = 0
    cnt_XcYc = 0
    for x2,y2 in XY:
      if x2<=x1 and y2<=y1:
        cnt_XcYc += 1
      if x2<x1 and y2<=y1:
        cnt_XoYc += 1
      if x2<=x1 and y2<y1:
        cnt_XcYo += 1
      if x2<x1 and y2<y1:
        cnt_XoYo += 1
    dic_XcYc[key] = cnt_XcYc
    dic_XoYc[key] = cnt_XoYc
    dic_XcYo[key] = cnt_XcYo
    dic_XoYo[key] = cnt_XoYo

ans = []
for xl in range(len(X)-1):
  for xr in range(xl,len(X)):
    for yd in range(len(Y)-1):
      for yu in range(yd,len(Y)):
        cnt = dic_XcYc[X[xr]*(10**10)+Y[yu]]
        cnt -= dic_XcYo[X[xr]*(10**10)+Y[yd]]
        cnt -= dic_XoYc[X[xl]*(10**10)+Y[yu]]
        cnt += dic_XoYo[X[xl]*(10**10)+Y[yd]]
        if cnt>=K:
          ans.append((X[xr]-X[xl])*(Y[yu]-Y[yd]))
print(min(ans))
Buggy python submission (verdict: Runtime Error):
H,W = map(int,input().split())
dic = {}
for h in range(H):
  s = list(input())
  for x in s:
    dic[x] = dic.get(x,0) + 1

c1 = 0
c2 = 0
for x in dic.values():
  if x%2 == 1:
    c1 += 1
    x -= 1
  if x%4 == 2:
    c2 += 1
if c1>(H%2)*(W%2):
  print("No")
  return
if c2>((W*(H%2))//2)+((H*(W%2))//2):
  print("No")
  return
print("Yes")

Fixed submission:
H,W = map(int,input().split())
dic = {}
for h in range(H):
  s = list(input())
  for x in s:
    dic[x] = dic.get(x,0) + 1

c1 = 0
c2 = 0
for x in dic.values():
  if x%2 == 1:
    c1 += 1
    x -= 1
  if x%4 == 2:
    c2 += 1
if c1>(H%2)*(W%2):
  print("No")
elif c2>((W*(H%2))//2)+((H*(W%2))//2):
  print("No")
else:
  print("Yes")
Buggy python submission (verdict: Runtime Error):
N=int(input())
A = [int(a) for a in input().split()]

d = {}
for a in A:
  d[a] = d.get(a,0) + 1
B = []
for k in d:
  if d[k] >= 4:
    B.append(k)
    B.append(k)
  elif d[k] >=2:
    B.append(k)
B.sort()
print(B[-1]*B[-2])

Fixed submission:
N=int(input())
A = [int(a) for a in input().split()]

d = {}
for a in A:
  d[a] = d.get(a,0) + 1
B = [0,0]
for k in d:
  if d[k] >= 4:
    B.append(k)
    B.append(k)
  elif d[k] >=2:
    B.append(k)
B.sort()
print(B[-1]*B[-2])

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = [int(a) for a in input().split()]

dic = {}
for a in A:
  dic[a] = dic.get(a,0) + 1

2p = []
ans = 0

for k in dic:
  if dic[k] >= 4:
    ans = max(ans,dic[k]**2)
  elif dic[k] >= 2:
    2p.append(dic[k])
if len(2p)>=2:
  2p.sort(reverse=True)
  ans = max(ans,2p[0]*2p[1])
print(ans)


Fixed submission:
N=int(input())
A = [int(a) for a in input().split()]

d = {}
for a in A:
  d[a] = d.get(a,0) + 1
B = [0,0]
for k in d:
  if d[k] >= 4:
    B.append(k)
    B.append(k)
  elif d[k] >=2:
    B.append(k)
B.sort()
print(B[-1]*B[-2])

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = [int(a) for a in input().split()]

dic = {}
for a in A:
  dic[a] = dic.get(a,0) + 1

B=[]
for k in dic:
  if dic[k]>=2:
    B.append(k)

B.sort()
if B>=2:
  print(B[-1]*B[-2])
else:
  print(0)

Fixed submission:
N=int(input())
A = [int(a) for a in input().split()]

d = {}
for a in A:
  d[a] = d.get(a,0) + 1
B = [0,0]
for k in d:
  if d[k] >= 4:
    B.append(k)
    B.append(k)
  elif d[k] >=2:
    B.append(k)
B.sort()
print(B[-1]*B[-2])
Buggy python submission (verdict: Runtime Error):
#!/usr/bin/env python3
import math

N = int(input())
T = [int(input()) for _ in range(N)]

ans = 1
for i in range(N):
    ans = ans * T[i] // math.gcd(ans, T[i])
print(ans)

Fixed submission:
N = int(input())
T = []
[T.append(int(input())) for _ in range(N)]

def gcd(a,b):
    if max(a,b)%min(a,b) == 0:
        return min(a,b)
    return gcd(max(a,b)%min(a,b),min(a,b))

ans = 1
for t in T:
    ans = ans * t // gcd(ans,t)

print(ans)

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

N = int(input())
T = []
[T.append(int(input())) for _ in range(N)]


ans = 1
for t in T:
    ans = ans * t // math.gcd(ans,t)

print(ans)

Fixed submission:
N = int(input())
T = []
[T.append(int(input())) for _ in range(N)]

def gcd(a,b):
    if max(a,b)%min(a,b) == 0:
        return min(a,b)
    return gcd(max(a,b)%min(a,b),min(a,b))

ans = 1
for t in T:
    ans = ans * t // gcd(ans,t)

print(ans)
Buggy python submission (verdict: Runtime Error):
import heapq
N = int(input())
node = [[] for _ in range(N)]
for _ in range(N-1):
  a,b,c = map(int,input().split())
  node[a-1].append([c,b-1])
  node[b-1].append([c,a-1])
Q,K = map(int,input().split())

flag = [True]*N
ques = [[0,K-1]]
D = [0]*N
while ques:
  d1,l1 = heapq.heappop(ques)
  if flag[l1]:
    flag[l1]=False
    D[l1] = d1
    for d2,l2 in node[l1]:
      if flag[l2]:
        heapq.heappush([d1+d2,l2])
for _ in range(Q):
  x,y = map(int,input().split())
  print(D[x-1]+D[y-1])
        

Fixed submission:
import heapq
N = int(input())
node = [[] for _ in range(N)]
for _ in range(N-1):
  a,b,c = map(int,input().split())
  node[a-1].append([c,b-1])
  node[b-1].append([c,a-1])
Q,K = map(int,input().split())

flag = [True]*N
ques = [[0,K-1]]
D = [0]*N
while ques:
  d1,l1 = heapq.heappop(ques)
  if flag[l1]:
    flag[l1]=False
    D[l1] = d1
    for d2,l2 in node[l1]:
      if flag[l2]:
        heapq.heappush(ques,[d1+d2,l2])
for _ in range(Q):
  x,y = map(int,input().split())
  print(D[x-1]+D[y-1])
Buggy python submission (verdict: Time Limit Exceeded):
N,M = map(int,input().split())
ab = [[int(i) for i in input().split()] for _ in range(M)]

A = []
B = []
for a,b in ab:
  if a==1:
    A.append(b)
  if b==N:
    B.append(a)

for a in A:
  if a in B:
    print("POSSIBLE")
    break
else:
  print("IMPOSSIBLE")

Fixed submission:
N,M = map(int,input().split())
ab = [[int(i) for i in input().split()] for _ in range(M)]

A = []
B = [0]*(N+1)
for a,b in ab:
  if a==1:
    A.append(b)
  if b==N:
    B[a]=1

for a in A:
  if B[a]==1:
    print("POSSIBLE")
    break
else:
  print("IMPOSSIBLE")