Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N, K = map(int,input().split())
import math
Sum = 0

for i in range(N):
    n = i + 1
    if n < k:
        Sum += pow(0.5, math.ceil(math.log(K/n, 2)))
    else:
        Sum += 1
Sum = Sum / N
print(Sum)

Fixed submission:
N, K = map(int,input().split())
import math
Sum = 0

for i in range(N):
    n = i + 1
    if n < K:
        Sum += pow(0.5, math.ceil(math.log(K/n, 2)))
    else:
        Sum += 1
Sum = Sum / N
print(Sum)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = []
for i in range(N):
    A.append(int(input()))

for i in range(N):
    A_ = [A[j] for j in range(N) if i != j]
    print(max(A_))
    


Fixed submission:
N = int(input())
A, A_sorted = [], []
for i in range(N):
    x = int(input())
    A.append(x)
    A_sorted.append(x)
A_sorted.sort()
vmax, vmax2 = A_sorted[-1], A_sorted[-2]

for i in range(N):
    x = A[i]
    if vmax == x:
        print(vmax2)
    else:
        print(vmax)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
list =[int(input()) for i in range(n)]
for i in range(n):
    if list[i] == max(list):
        print(sorted(list)[-2])
    else:
        print(max(list))

Fixed submission:
n = int(input())
list =[int(input()) for i in range(n)]
m = max(list)
s = sorted(list)[-2]
for i in range(n):
    if list[i] == m:
        print(s)
    else:
        print(m)

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

for j in range(n):
    if list[j] == max(list):
        print(sorted(list)[-2])
    else:
        print(max(list))

Fixed submission:
n = int(input())
list =[int(input()) for i in range(n)]
m = max(list)
s = sorted(list)[-2]
for i in range(n):
    if list[i] == m:
        print(s)
    else:
        print(m)
Buggy python submission (verdict: Runtime Error):
if A<B<C<D:
    if "##" not in S:
        print("Yes")
    else:
        print("No")
else A<C<B<D:
    if "##" not in S[A:C-1] or "##" in S[B:D-1]:
        print("Yes")
    else:
        print("No")
elif A<B<D<C
    if "##" not in S and "..." in S[B-2:D+1]:
        print("Yes")
    else:
        print("No")
else:
    print("No")


Fixed submission:
N,A,B,C,D=map(int,input().split())
S=input()

if "##" in S[A:C-1] or "##" in S[B:D-1]:
    print("No")
    exit()
elif C>D and "..." not in S[B-2:D+1]:
    print("No")
else:
    print("Yes")

Buggy python submission (verdict: Runtime Error):
N,A,B,C,D=map(int,input().split())
S=input()

if C<D:
    if "##" not in S[A:C-1] or "##" not in S[B:D-1]:
        print("Yes")
    else:
        print("No")
elif C>D
    if "##" not in S and "..." not in S[B-2:D+1]:
        print("Yes")
    else:
        print("No")
else:
    print("Yes")


Fixed submission:
N,A,B,C,D=map(int,input().split())
S=input()

if "##" in S[A:C-1] or "##" in S[B:D-1]:
    print("No")
    exit()
elif C>D and "..." not in S[B-2:D+1]:
    print("No")
else:
    print("Yes")

Buggy python submission (verdict: Runtime Error):
N,A,B,C,D=map(int,input().split())
S=input()
print("No" if "##" in S else "No" if "..." not in S[B-1.D-1] and C>D else "Yes")


Fixed submission:
N,A,B,C,D=map(int,input().split())
S=input()

if "##" in S[A:C-1] or "##" in S[B:D-1]:
    print("No")
    exit()
elif C>D and "..." not in S[B-2:D+1]:
    print("No")
else:
    print("Yes")

Buggy python submission (verdict: Runtime Error):
N,A,B,C,D=map(int,input().split())
S=input()
if "##" in:
    print("No")
elif (S[C-2])=="#" and C>D:
    print("No")
elif (S[C])=="#" and C>D:
    print("No")
else:
    print("Yes")


Fixed submission:
N,A,B,C,D=map(int,input().split())
S=input()

if "##" in S[A:C-1] or "##" in S[B:D-1]:
    print("No")
    exit()
elif C>D and "..." not in S[B-2:D+1]:
    print("No")
else:
    print("Yes")

Buggy python submission (verdict: Runtime Error):
N,A,B,C,D=map(int,input().split())
S=input()
print("No" if "##" in S else "No" if ((S[C-2])=="#" or (S[C])=="#") and C>D else "Yes")


Fixed submission:
N,A,B,C,D=map(int,input().split())
S=input()

if "##" in S[A:C-1] or "##" in S[B:D-1]:
    print("No")
    exit()
elif C>D and "..." not in S[B-2:D+1]:
    print("No")
else:
    print("Yes")
Buggy python submission (verdict: Time Limit Exceeded):
MOD = 1000003
facts = [1,1] #階乗
invs = [1,1] #整数の逆元
invfacts = [1,1] #階乗の逆元
for ind in range(1, MOD):
    i = ind+1
    facts.append(facts[-1]*i % MOD)
    invs.append( -(MOD//i)*invs[MOD%i] % MOD )
    invfacts.append( invfacts[-1]*invs[i] % MOD )

def task(x, d, n, MOD=MOD):
    if x == 0:
        return 0
    if d == 0:
        return pow(x, n, MOD)
    
    xdivd = (x*invs[d]) % MOD
    if xdivd - 1 <= MOD and MOD <= xdivd + n -1:
        return 0
    ans = (facts[xdivd + n -1]*invfacts[xdivd - 1]) % MOD
    ans = (ans*pow(d, n, MOD)) % MOD
    return ans

Q = int(input())
for _ in range(Q):
    x, d, n = map(int, input().split())
    ret = task(x, d, n)
    print(ret)

Fixed submission:
MOD = 1000003
facts = [1,1] #階乗
invs = [1,1] #整数の逆元
invfacts = [1,1] #階乗の逆元
for ind in range(1, MOD):
    i = ind+1
    facts.append(facts[-1]*i % MOD)
    invs.append( -(MOD//i)*invs[MOD%i] % MOD )
    invfacts.append( invfacts[-1]*invs[i] % MOD )

def task(x, d, n, MOD=MOD):
    if x == 0:
        return 0
    if d == 0:
        return pow(x, n, MOD)
    
    xdivd = (x*invs[d]) % MOD
    if MOD <= xdivd + n -1:
        return 0
    ans = (facts[xdivd + n -1]*invfacts[xdivd - 1]) % MOD
    ans = (ans*pow(d, n, MOD)) % MOD
    return ans

Q = int(input())
for _ in range(Q):
    x, d, n = map(int, input().split())
    ret = task(x, d, n)
    print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
slist = list(map(int, input().split()))
ans = 0
for C in range(1,N-1,1):
    flg = [False for i in range(N)]
    score = 0
    for k in range((N-1)//C):
        if (k-1)*C == N-1-k*C: #一つ前に選んだところ
            break
        if 2*k*C == N-1: #今から選ぶ二つが同じところ
            break
        score += slist[k*C]+slist[N-1-k*C]
        ans = max(ans, score)
print(ans)

Fixed submission:
N = int(input())
slist = list(map(int, input().split()))
ans = 0
for C in range(1,N-1,1):
    score = 0
    for k in range((N-1)//C):
        if (k-1)*C == N-1-k*C: #一つ前に選んだところ
            break
        if 2*k*C == N-1: #今から選ぶ二つが同じところ
            break
        score += slist[k*C]+slist[N-1-k*C]
        ans = max(ans, score)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
slist = list(map(int, input().split()))
ans = 0
for C in range(1,N-1,1):
    flg = [False for i in range(N)]
    score = 0
    for k in range((N-1)//C):
        if flg[k*C] or flg[N-1-k*C]: #今までに通った
            break
        if 2*k*C == N-1: #選ぶ二つが同じところ
            break
        score += slist[k*C]+slist[N-1-k*C]
        ans = max(ans, score)
        flg[k*C] = True
        flg[N-1-k*C] = True
print(ans)

Fixed submission:
N = int(input())
slist = list(map(int, input().split()))
ans = 0
for C in range(1,N-1,1):
    score = 0
    for k in range((N-1)//C):
        if (k-1)*C == N-1-k*C: #一つ前に選んだところ
            break
        if 2*k*C == N-1: #今から選ぶ二つが同じところ
            break
        score += slist[k*C]+slist[N-1-k*C]
        ans = max(ans, score)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
Alist = list(map(int, input().split()))
for i in range(M):
    Alist = sorted(Alist)
    Bi, Ci = map(int, input().split())
    Alist = [max(Ci, j) for j in Alist[:Bi]]+Alist[Bi:]
print(sum(Alist))

Fixed submission:
N, M = map(int, input().split())
Alist = list(map(int, input().split()))
numlist = [[1,i] for i in Alist]
BC = [list(map(int, input().split())) for i in range(M)]
numlist += BC
numlist = sorted(numlist, key=lambda x:x[1], reverse=True)
ret = 0
for pair in numlist:
    if N <= 0:
        break
    if N >= pair[0]:
        ret += pair[0]*pair[1]
        N = N - pair[0]
    else:
        ret += N*pair[1]
        break
print(ret)

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
Alist = list(map(int, input().split()))
for i in range(M):
    Alist = sorted(Alist)
    Bi, Ci = map(int, input().split())
    Alist = [max(Ci, j) for j in Alist[:Bi]]+Alist[Bi:]
print(sum(Alist))

Fixed submission:
N, M = map(int, input().split())
Alist = list(map(int, input().split()))
numlist = [[1,i] for i in Alist]
BC = [list(map(int, input().split())) for i in range(M)]
numlist += BC
numlist = sorted(numlist, key=lambda x:x[1], reverse=True)
ret = 0
for pair in numlist:
    if N <= 0:
        break
    if N >= pair[0]:
        ret += pair[0]*pair[1]
        N = N - pair[0]
    else:
        ret += N*pair[1]
        break
print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
import bisect as bis
Q = int(input())
minval = 0
argminval = -(10**9)
L, R = [-(10**9)], [10**9]
lenL, lenR = 0, 0

def listupdate(items, new):
    ind = bis.bisect_left(items, new)
    ret = items[:ind]+[new]+items[ind:]
    return ret

for _ in range(Q):
    qi = list(map(int, input().split()))
    if qi[0] == 1:
        ai, bi = qi[1], qi[2]
        LC, RC = L[-1], R[0]
        if lenL == lenR:
            if ai < RC:
                L = listupdate(L, ai)
            else:
                L = listupdate(L, RC)
                R = listupdate(R[1:], ai)
            lenL += 1
            argminval = L[-1]
            minval += abs(argminval - ai) + bi
        else:
            if ai < LC:
                L = listupdate(L[:-1], ai)
                R = listupdate(R, LC)
            else:
                R = listupdate(R, ai)
            lenR += 1
            minval += abs(argminval - ai) + bi
            argminval = L[-1]
    else:
        print("{} {}".format(argminval, minval))

Fixed submission:
import heapq as hq
Q = int(input())
minval = 0
argminval = -(10**9)
#aを大きい方と小さい方に分けて最小ヒープで管理(Lは最大が欲しいので-1掛けておく)
L, R = [10**9], [10**9]
lenL, lenR = 0, 0

for _ in range(Q):
    qi = list(map(int, input().split()))
    if qi[0] == 1:
        ai, bi = qi[1], qi[2]
        LC, RC = -1*L[0], R[0] #左右それぞれで中央に一番近いもの
        if lenL == lenR:
            if ai < RC:
                #Lにaiを追加
                hq.heappush(L, -1*ai)
            else:
                #RCをLに移動, Rにaiを追加
                hq.heappop(R)
                hq.heappush(L, -1*RC)
                hq.heappush(R, ai)
            lenL += 1
            #新しいargminで最小値更新
            argminval = -1*L[0]
            minval += abs(argminval - ai) + bi
        else:
            if ai < LC:
                #LCをRに移動, Lにaiを追加
                hq.heappop(L)
                hq.heappush(L, -1*ai)
                hq.heappush(R, LC)
            else:
                #Rにaiを追加
                hq.heappush(R, ai)
            lenR += 1
            #古いargminで最小値更新
            minval += abs(argminval - ai) + bi
            argminval = -1*L[0]
    else:
        print("{} {}".format(argminval, minval))
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
num_edges = M
edges = [list(map(int, input().split())) for i in range(num_edges)]
adj = [[] for i in range(N+1)]
for ed in edges:
    adj[ed[0]] += [[ed[1], ed[2]]]
    adj[ed[1]] += [[ed[0], ed[2]]]
col_list = [-1 for i in range(N+1)]

def recfun(v, col):
    col_list[v] = col #色を更新
    for ed in adj[v]: #隣接する頂点をみる
        if col_list[ed[0]] == -1: #更新していない場合
            recfun(ed[0], col) #同じ色でその先をみる
count = 0
for i in range(1, N+1):
    if col_list[i] == -1:
        count +=1
        recfun(i, count)
print(count)

Fixed submission:
import sys
sys.setrecursionlimit(10**8)
N, M = map(int, input().split())
num_edges = M
edges = [list(map(int, input().split())) for i in range(num_edges)]
adj = [[] for i in range(N+1)]
for ed in edges:
    adj[ed[0]] += [[ed[1], ed[2]]]
    adj[ed[1]] += [[ed[0], ed[2]]]
col_list = [-1 for i in range(N+1)]

def recfun(v, col):
    col_list[v] = col #色を更新
    for ed in adj[v]: #隣接する頂点をみる
        if col_list[ed[0]] == -1: #更新していない場合
            recfun(ed[0], col) #同じ色でその先をみる
count = 0
for i in range(1, N+1):
    if col_list[i] == -1:
        count +=1
        recfun(i, count)
print(count)

Buggy python submission (verdict: Runtime Error):
import numpy as np
class UnionFind:
    def __init__(self, n):
        self.par = [i for i in range(n+1)]
        self.rank = [0] * (n+1)

    # 検索
    def find(self, x):
        if self.par[x] == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]

    # 併合
    def union(self, x, y):
        x = self.find(x)
        y = self.find(y)
        if self.rank[x] < self.rank[y]:
            self.par[x] = y
        else:
            self.par[y] = x
            if self.rank[x] == self.rank[y]:
                self.rank[x] += 1

    # 同じ集合に属するか判定
    def same_check(self, x, y):
        return self.find(x) == self.find(y)

#####
N, M = map(int, input().split())
uf = UnionFind(N)
for i in range(M):
    ui, vi, wi = map(int, input().split())
    uf.union(ui, vi)
print(len(np.unique(uf.par[1:])))

Fixed submission:
import sys
sys.setrecursionlimit(10**8)
N, M = map(int, input().split())
num_edges = M
edges = [list(map(int, input().split())) for i in range(num_edges)]
adj = [[] for i in range(N+1)]
for ed in edges:
    adj[ed[0]] += [[ed[1], ed[2]]]
    adj[ed[1]] += [[ed[0], ed[2]]]
col_list = [-1 for i in range(N+1)]

def recfun(v, col):
    col_list[v] = col #色を更新
    for ed in adj[v]: #隣接する頂点をみる
        if col_list[ed[0]] == -1: #更新していない場合
            recfun(ed[0], col) #同じ色でその先をみる
count = 0
for i in range(1, N+1):
    if col_list[i] == -1:
        count +=1
        recfun(i, count)
print(count)
Buggy python submission (verdict: Time Limit Exceeded):
R, G, B, N = list(map(int, input().split()))
ret = 0
for r in range(N//R+1):
    for g in range((N-r)//G+1):
        if N - (R*r+G*g) >= 0:
            if (N - (R*r+G*g)) % B == 0:
                ret += 1
print(ret)

Fixed submission:
R, G, B, N = list(map(int, input().split()))
R, G, B = sorted([R, G, B], reverse=True)
ret = 0
for r in range(N//R+1):
    if G == 1:
        ret += N-r+1
    else:
        for g in range((N-r)//G+1):
            if N - (R*r+G*g) >= 0:
                if (N - (R*r+G*g)) % B == 0:
                    ret += 1
print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = input()
S = [0 if si == "#" else 1 for si in S]
def taskC(N,S):
    Wlist = []
    Blist = []
    Wcount = 0
    Bcount = 0
    S0 = S[0]
    for si in S:
        if si == 0:
            Bcount += 1
            if Wcount > 0:
                Wlist = [Wcount] + Wlist
                Wcount = 0
        else:
            Wcount += 1
            if Bcount >0:
                Blist += [Bcount]
                Bcount = 0
    Wlist = ([Wcount] + Wlist) if Wcount > 0 else Wlist
    Blist = (Blist + [Bcount]) if Bcount > 0 else Blist
    if len(Wlist)+len(Blist) <= 1:
        return 0
    if len(Wlist)>len(Blist):
        Wlist = Wlist[:-1]
        S0 = 0
    elif len(Blist)>len(Wlist):
        Blist = Blist[:-1]
        S0 = 0
    Wsum = [0]
    Bsum = [0]
    for ind in range(len(Wlist)):
        Wsum = [ Wsum[0] + Wlist[ind]] + Wsum
        Bsum += [ Bsum[-1] + Blist[ind]]
    ret = min([Wsum[i]+Bsum[i] for i in range(len(Wsum))])
    if S0 == 0:
        ret2 = min([Wsum[i]+Bsum[i+1] for i in range(len(Wsum)-1)])
        return min(ret, ret2)
    else:
        ret2 = min([Wsum[i+1]+Bsum[i] for i in range(len(Wsum)-1)])
        return min(ret, ret2)
print(taskC(N,S))


Fixed submission:
N = int(input())
S = input()
Bsum = [0] #境界より左にある黒の数
Wsum = [0] #境界より右にある白の数
for i in range(N):
    Bsum += [Bsum[-1]+(1 if S[i]=="#" else 0) ]
    Wsum += [Wsum[-1]+(1 if S[N-i-1]=="." else 0)]
print(min([Bsum[i]+Wsum[N-i] for i in range(N+1)]))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = input()
Bsum = [0] #境界より左にある黒の数
Wsum = [0] #境界より右にある白の数
for i in range(N):
    Bsum = Bsum + [Bsum[-1]+(1 if S[i]=="#" else 0) ]
    Wsum = [Wsum[0]+(1 if S[N-i-1]=="." else 0)] + Wsum
print(min([Bsum[i]+Wsum[i] for i in range(N+1)]))

Fixed submission:
N = int(input())
S = input()
Bsum = [0] #境界より左にある黒の数
Wsum = [0] #境界より右にある白の数
for i in range(N):
    Bsum += [Bsum[-1]+(1 if S[i]=="#" else 0) ]
    Wsum += [Wsum[-1]+(1 if S[N-i-1]=="." else 0)]
print(min([Bsum[i]+Wsum[N-i] for i in range(N+1)]))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = input()
S = [0 if si == "#" else 1 for si in S]
Bsum = [0] #境界より左にある黒の数
Wsum = [0] #境界より右にある白の数
for i in range(N):
    Bsum = Bsum + [Bsum[-1]+(1 if S[i]==0 else 0) ]
    Wsum = [Wsum[0]+(1 if S[N-i-1]==1 else 0)] + Wsum
print(min([Bsum[i]+Wsum[i] for i in range(N+1)]))

Fixed submission:
N = int(input())
S = input()
Bsum = [0] #境界より左にある黒の数
Wsum = [0] #境界より右にある白の数
for i in range(N):
    Bsum += [Bsum[-1]+(1 if S[i]=="#" else 0) ]
    Wsum += [Wsum[-1]+(1 if S[N-i-1]=="." else 0)]
print(min([Bsum[i]+Wsum[N-i] for i in range(N+1)]))
Buggy python submission (verdict: Runtime Error):
import re
N, Q = map(int, input().split())
S = input()
l = []
r = []
for i in range(Q):
    li, ri = map(int, input().split())
    l += [li]
    r += [ri]

for ind in range(Q):
    substr = S[max(0, l[ind]-1) : min(r[ind], N)]
    #print(substr.count("AC"))
    print(len(re.findall("AC", S)))

Fixed submission:
b = input()
if b == "A":
    print("T")
elif b == "T":
    print("A")
elif b == "C":
    print("G")
elif b == "G":
    print("C")
Buggy python submission (verdict: Time Limit Exceeded):
import copy

n = int(input())

columns = [int(input()) for i in range(n)]

i = 0

while i < n:
    max_value = sorted(set(columns))[-1]
    if max_value == columns[i]:
        tmp = copy.copy(columns)
        del tmp[i]
        print(sorted(set(tmp))[-1])
    else:
        print(max_value)
    i += 1

Fixed submission:
import copy
n = int(input())
 
columns = [int(input()) for i in range(n)]

sorted_columns = sorted(columns, reverse = True)

for i in range(n):
    if sorted_columns[0] == columns[i]:
        print(sorted_columns[1])
    else:
        print(sorted_columns[0])

Buggy python submission (verdict: Time Limit Exceeded):
if __name__ == '__main__':
    n = int(input())
    a_list = []
    for i in range(n):
        a = int(input())
        a_list.append(a)

    for i in range(n):
        cp = a_list.copy()
        del cp[i]
        print(max(cp))

Fixed submission:
if __name__ == '__main__':
    n = int(input())
    a_list = []
    max_num = 0
    second_max = 0
    max_count = 0
    for i in range(n):
        a = int(input())
        a_list.append(a)
        if a > max_num:
            max_num = a
            max_count = 1
        elif a > second_max:
            second_max = a

    for i in range(n):
        if a_list[i] != max_num:
            print(max_num)
        else:
            print(second_max)
Buggy python submission (verdict: Runtime Error):
r = input(int())
print(3 * r ** 2)

Fixed submission:
r = int(input())
print(3 * r ** 2)

Buggy python submission (verdict: Runtime Error):
r = input(int())
print(3 * r ** 3)

Fixed submission:
r = int(input())
print(3 * r ** 2)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = [0] * n
for i in range(n):
  a[i] = int(input())

for i in range(n):
  alt = a[i]
  a[i] = 0
  print(max(a))
  a[i] = alt

Fixed submission:
n = int(input())
a = [0] * n
for i in range(n):
  a[i] = int(input())

asort = sorted(a,reverse=True)
for i in range(n):
  if a[i] == asort[0]:
    print(asort[1])
  else:
    print(asort[0])

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = [0] * n
for i in range(n):
  a[i] = int(input())

for i in range(n):
  b = [0] * n
  for j in range(n):
    if j == i:
      continue
    else:
      b[j] = a[j]
  print(max(b))

Fixed submission:
n = int(input())
a = [0] * n
for i in range(n):
  a[i] = int(input())

asort = sorted(a,reverse=True)
for i in range(n):
  if a[i] == asort[0]:
    print(asort[1])
  else:
    print(asort[0])
Buggy python submission (verdict: Runtime Error):
l,r = input().split()
l = int(l)
r = int(r)
N = int(2019)
  
ans = (l * (l + 1)) % N
count = 0
for i in range(l,r):
  for j in range(l+1,r+1):
    if(count >= (N - 1)):
      flag = True
      break
    else if(ans > (i * j) % N):
      ans = (i * j) % N
    count += 1
  if flag:
    break
    
print(ans)

Fixed submission:
l,r = input().split()
l = int(l)
r = int(r)
N = int(2019)
  
ans = N
count = 0
right = min(l + N, r)
for i in range(l,right):
  for j in range(i+1,right+1):
    ans = min(ans, (i * j) % N)
    
print(ans)

Buggy python submission (verdict: Runtime Error):
l,r = input().split()
l = int(l)
r = int(r)
N = int(2019)
  
ans = (l * (l + 1)) % N
count = 0
for i in range(l,r-1):
  for j in range(l+1,r):
    if(count >= (N - 1)):
      flag = True
      break
    if(ans > (i * j) % N):
      ans = (i * j) % N
    count += 1
  if flag:
    break
    
print(ans)

Fixed submission:
l,r = input().split()
l = int(l)
r = int(r)
N = int(2019)
  
ans = N
count = 0
right = min(l + N, r)
for i in range(l,right):
  for j in range(i+1,right+1):
    ans = min(ans, (i * j) % N)
    
print(ans)

Buggy python submission (verdict: Runtime Error):
l,r = input().split()
N = 2019
  
ans = (l * (l + 1)) % N;
count = 0;
for i in range(l,r-1):
  if(count >= (N - 1)) break
  for j in range(l+1,r):
    if(count >= (N - 1)) break
    if(ans > (i * j) % N) ans = (i * j) % N
    count++;
    
printf("%lu\n",ans);
return 0

Fixed submission:
l,r = input().split()
l = int(l)
r = int(r)
N = int(2019)
  
ans = N
count = 0
right = min(l + N, r)
for i in range(l,right):
  for j in range(i+1,right+1):
    ans = min(ans, (i * j) % N)
    
print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())

balls = []
for i in range(N):
    x, y = map(int, input().split())
    balls.append((x, y))

pq = {}
for i in range(N-1):
    for j in range(i+1, N):
        p, q = balls[i][0] - balls[j][0], balls[i][1] - balls[j][1]
        if p < 0:
            p, q = -p, -q
        if (p, q) in pq:
            pq[(p, q)] += 1
        else:
            pq[(p, q)] = 1

ans = N - max(pq.values())
print(ans)

Fixed submission:
N = int(input())

balls = []
for i in range(N):
    x, y = map(int, input().split())
    balls.append((x, y))

if N == 1:
    print(1)
else:
    pq = {}
    for i in range(N-1):
        for j in range(i+1, N):
            p, q = balls[i][0] - balls[j][0], balls[i][1] - balls[j][1]
            if p < 0 or (p == 0 and q < 0):
                p, q = -p, -q
            if (p, q) in pq:
                pq[(p, q)] += 1
            else:
                pq[(p, q)] = 1

    ans = N - max(pq.values())
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))


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


def gcda(a):
    ret = a[0]
    for i in range(1, len(a)):
        ret = gcd(ret, a[i])
    return ret


ans = 1
for i in range(N):
    a = A[:i] + A[i+1:]
    ans = max(ans, gcda(a))

print(ans)

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


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


L = [0] * (N + 1)
R = [0] * (N + 1)
for i in range(N):
    L[i+1] = gcd(L[i], A[i])

for i in range(N-1, -1, -1):
    R[i] = gcd(R[i+1], A[i])

ans = 1
for i in range(N):
    ans = max(ans, gcd(L[i], R[i+1]))

print(ans)