Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N, M = map(int,input().split())
A = list(map(int,input().split()))
B = [list(map(int,input().split())) for i in range(M)]

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

cot = 0
add = 0

for b,c in B:
    cot += b
    if cot > N:
        add = N - cot + b
        A.extend([c] * add)
        break
    else:
        A.extend([c] * b)

print(sum(sorted(A, reverse = True))[:N])

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

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

cot = 0
add = 0

for b,c in B:
    cot += b
    if cot > N:
        add = N - cot + b
        A.extend([c] * add)
        break
    else:
        A.extend([c] * b)

print(sum(sorted(A, reverse = True)[:N]))

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

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

A.sort()

for i in range(M):
    B,C = map(int,input().split())
    index = bisect.bisect_left(A,C)
    if index > B:
        A[:B] = [C] * B
    else:
        A[0:index] = [C] * index
    A.sort()

print(sum(A))

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

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

cot = 0
add = 0

for b,c in B:
    cot += b
    if cot > N:
        add = N - cot + b
        A.extend([c] * add)
        break
    else:
        A.extend([c] * b)

print(sum(sorted(A, reverse = True)[:N]))
Buggy python submission (verdict: Time Limit Exceeded):
N,M = map(int,input().split())
L = [0] * N

X,Y,Z = map(int,input().split())
L[X-1] = 1
L[Y-1] = 1 
b = 1

if M == 1:
    print(N-1)
else:
    for i in range(M-1):
        X,Y,Z = map(int,input().split())
        if L[X-1] != 0 and L[Y-1] != 0:
            if L[X-1] != L[Y-1]:
                a = min(L[X-1],L[Y-1])
                for c in L:
                    if c == max(L[X-1],L[Y-1]):
                        c = a
        elif L[X-1] != 0 and L[Y-1] == 0:
            L[Y-1] = L[X-1]
        elif L[X-1] == 0 and L[Y-1] != 0:
            L[X-1] = L[Y-1]
        else:
            b += 1
            L[X-1] = b
            L[Y-1] = b

    L = list(set(L))
    l = len(L)

    print(l)
        

Fixed submission:
class UnionFind:
    def __init__(self, n=1):
        self.par = [i for i in range(n)]
        self.rank = [0] * (n+1)
        self.cnt = 0

    
    def find(self, x):
        if self.par[x] == x:
            return x
        else:
            self.par[x] = self.find(self.par[x])
            return self.par[x]
    
    def groupsize(self):
        self.cnt = 0
        for i, x in enumerate(self.par):
            if x == i:
                self.cnt += 1
        return self.cnt
    
    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
    
    def same_check(self, x, y):
        return self.find(x) == self.find(y)

N, M = map(int,input().split())
A = [list(map(int,input().split())) for i in range(M)]
uf = UnionFind(N)

for i in range(M):
    uf.union(A[i][0]-1, A[i][1]-1)

print(uf.groupsize())
Buggy python submission (verdict: Runtime Error):
N = int(input())
eni_B = 0
end_A = 0
both = 0
count = 0

for i in range(N):
    s = list(input())
    if s[0] == 'B':
        eni_B += 1
    if s[-1] == 'A':
        end_A += 1
    if s[0] == 'B' and s[-1] == 'A':
        eni_B -= 1
        end_A -= 1
        both += 1
    for j in range(len(s)-1):
        if s[j] == 'A':
            if s[j+1] == 'B':
                count += 1


if end_A != 0 or eni_B != 0:
    count = count + min(end_A,eni_B) + both
    print(count)
else :
    print(count)

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

print(N-K+1)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
count = 0
b = 0
A.sort()

for i in range(A[1]-1):

    count = 0

    for j in range(N):
        if A[j] % (A[1] - i) !=0:
            count += 1
        
    if count == 1:
        b = A[1] - i
        break
    else:
        continue

if b == 0:
    print(A[0])
else :
    print(b)


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

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

res = [0] * N
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,0,-1):
    r[i-1] = gcd(r[i],A[i-1])

for i in range(N):
    res[i] = gcd(l[i],r[i+1])

print(max(res))

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int,input().split()))
count = 0
B = []
b = 0

A.sort()
b = A[0]

while True:

    if len(A) == 1:
        break
    
    else:
        for i in range(len(A)):
            A[i] = A[i] % b
        
        A = set(A)
        A = list(A)
    
        for j in range(len(A)):
                if int(A[j]) != 0:
                    B.append(int(A[j]))
    
        B.sort()
    
        b = B[0]
        b_max = B[-1]


print(b_max)


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

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

res = [0] * N
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,0,-1):
    r[i-1] = gcd(r[i],A[i-1])

for i in range(N):
    res[i] = gcd(l[i],r[i+1])

print(max(res))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
count = 0
b = 0
A.sort()

for i in range(A[1]-1):

    count = 0

    for j in range(N):
        if A[j] % (A[1] - i) !=0:
            count += 1
        
    if count == 1:
        b = A[1] - i
        break
    else:
        continue

if b == 0:
    print(A[0])
else :
    print(b)

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

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

res = [0] * N
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,0,-1):
    r[i-1] = gcd(r[i],A[i-1])

for i in range(N):
    res[i] = gcd(l[i],r[i+1])

print(max(res))

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int,input().split()))
B = []
count = 0

for i in range(max(A)):

    count = 0

    for j in range(N):
        if A[j] % (i+1) !=0:
            count += 1
        
    if count == 1:
        B.append(i+1)
    else:
        continue


B.sort()

if len(B) > 0:
    print(B[-1])
else :
    print(A[0])
        
            



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

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

res = [0] * N
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,0,-1):
    r[i-1] = gcd(r[i],A[i-1])

for i in range(N):
    res[i] = gcd(l[i],r[i+1])

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

if N == 1:
    print('Hello World')
else:
    A = int(input())
    B = int(input())
    print(int(A+B))

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

if A<C and C<B:
    print('Yes')
elif B<C and C<A:
    print('Yes')
else:
    print('No')
Buggy python submission (verdict: Runtime Error):
import numpy

s = list(input())
N = len(s)
count_A = 0
count_B = 0

for i in range(N):
    s[i] = int(str(s[i]))

A = numpy.empty(N)
B = numpy.empty(N)

for j in range(N):
    if j % 2 == 0 :
        A[j] = 1
        B[j] = 0
    else:
        A[j] = 0
        B[j] = 1

for k in range(N):
    A[k]=s[k]-A[k]
    B[k]=s[k]-B[k]
    if A[k] != 0:
        count_A = count_A + 1
    if B[k] != 0:
        count_B = count_B + 1

if count_A > count_B :
    print(count_B)
else :
    print(count_A)





Fixed submission:
A,B = map(int,input().split())
coin = 0

if A > B :
    coin = coin + A
    A = A-1
    if A > B:
        coin = coin +A
    else : 
        coin = coin + B
elif B >=A :
    coin = coin + B
    B = B-1
    if A > B:
        coin = coin + A
    else :
        coin = coin + B
    
print(coin)
Buggy python submission (verdict: Runtime Error):
dish_time = [int(input()) for i in range(5)]
rest=[0,0,0,0,0]
last_min=[]

for j in range(5):
    rest[j] = dish_time[j] - (dish_time[j]//10*10)
    if rest[j] != 0:
        dish_time[j] = (dish_time[j]//10 + 1 ) *10   
        last_min.append(rest[j])

sum_time =  0

for i in range(5):
    sum_time = sum_time + dish_time[i]

sum_time = sum_time + min(last_min) - 10
    
print(sum_time)

Fixed submission:
dish_time = [int(input()) for i in range(5)]
rest=[0,0,0,0,0]
last_min=[]

for j in range(5):
    rest[j] = dish_time[j] - (dish_time[j]//10*10)
    if rest[j] != 0:
        dish_time[j] = (dish_time[j]//10 + 1 ) *10   
        last_min.append(rest[j])

sum_time =  0

for i in range(5):
    sum_time = sum_time + dish_time[i]

if len(last_min) != 0:
    sum_time = sum_time + min(last_min) - 10
    print(sum_time)
else :
    sum_time = sum_time
    print(sum_time)
Buggy python submission (verdict: Runtime Error):
N = int(input())
trans = []

for i in range(N):
    trans.append(int(input()))

trans.sort()

if N % trans[0] == 0:
    print(N // trans[0] + 4)
else:
    print(N // trans[0] + 5)



Fixed submission:
N = int(input())
trans = []

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

trans.sort()

if N % trans[0] == 0:
    print(N // trans[0] + 4)
else:
    print(N // trans[0] + 5)
Buggy python submission (verdict: Time Limit Exceeded):
N, Q = map(int,input().split())
S = list(input())
T = [0] * N

for i in range(N-1):
    if S[i] == 'A':
        if S[i+1] == 'C':
            T[i] = 1
        else:
            T[i] = 0
    else:
        T[i] = 0

for j in range(Q):
    l, r = map(int,input().split())
    sum_AC = sum(T[l-1:r-1])
    print(sum_AC)
        

Fixed submission:
N,Q = map(int,input().split())
S = list(input())
AC_list=[]
sum_AC=0
sum_list=[]
Ans=[]

for i in range(N-1):
    if S[i]=='A':
        if S[i+1]=='C':
            AC_list.append(1)
        else:
            AC_list.append(0)
    else:
        AC_list.append(0)

    sum_AC = sum_AC+int(AC_list[i])
    sum_list.append(sum_AC)

for j in range(Q):

    l,r=map(int,input().split())
    if l == 1 :
        Ans.append(sum_list[r-2])
    else:
        Ans.append(sum_list[r-2]-sum_list[l-2])

for k in range(Q):
    print(Ans[k])

Buggy python submission (verdict: Time Limit Exceeded):
N , Q = map(int,input().split())
S = list(input())
count = 0

for i in range(Q):
    l,r = map(int,input().split())
    for j in range(r-l-1):
        if S[j] == 'A':
            if S[j+1] == 'C':
                count += 1
    print(count)
    count = 0

Fixed submission:
N,Q = map(int,input().split())
S = list(input())
AC_list=[]
sum_AC=0
sum_list=[]
Ans=[]

for i in range(N-1):
    if S[i]=='A':
        if S[i+1]=='C':
            AC_list.append(1)
        else:
            AC_list.append(0)
    else:
        AC_list.append(0)

    sum_AC = sum_AC+int(AC_list[i])
    sum_list.append(sum_AC)

for j in range(Q):

    l,r=map(int,input().split())
    if l == 1 :
        Ans.append(sum_list[r-2])
    else:
        Ans.append(sum_list[r-2]-sum_list[l-2])

for k in range(Q):
    print(Ans[k])
Buggy python submission (verdict: Time Limit Exceeded):
def chmin(a,b):
    if a > b:
        return b
    else:
        return a

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

inf = float('inf')
dp = [inf] * N

dp[0] = 0
dp[1] = abs(H[1] - H[0])

for i in range(2,N):
    for j in range(1,K+1):
        if i - j < 0:
            continue
        dp[i] = chmin(dp[i], dp[i-j] + abs(H[i] - H[i-j]))
        

print(dp[N-1])

Fixed submission:
def chmin(a,b):
    if a > b:
        return b
    else:
        return a

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

inf = float('inf')
dp = [inf] * N

dp[0] = 0
dp[1] = abs(H[1] - H[0])

for i in range(2,N):
    for j in range(1,K+1):
        if i - j < 0:
            continue
        dp[i] = chmin(dp[i], dp[i-j] + abs(H[i] - H[i-j]))
        

print(dp[N-1])
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
G = [[] for _ in range(N)]
in_G = [0] * N

for i in range(M):
    x, y = map(int, input().split())
    G[x-1].append(y-1)
    in_G[y-1] += 1

dist = [0] * N
q = [x for x in range(N) if in_G[x] == 0]

while q:
    v = q.pop

    for g in G[v]:
        dist[g] = max(dist[g], dist[v] + 1)
        in_G[g] -= 1
        if in_G[g] == 0:
            q.append(g)

print(max(dist))

Fixed submission:
N, M = map(int, input().split())
G = [[] for _ in range(N)]
in_G = [0] * N

for i in range(M):
    x, y = map(int, input().split())
    G[x-1].append(y-1)
    in_G[y-1] += 1

dist = [0] * N
q = [x for x in range(N) if in_G[x] == 0]

while q:
    v = q.pop()

    for g in G[v]:
        dist[g] = max(dist[g], dist[v] + 1)
        in_G[g] -= 1
        if in_G[g] == 0:
            q.append(g)

print(max(dist))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
P = list(map(float, input().split()))

dp = [[0] * (N+1) for _ in range(N+1)]
dp[0][0] = 1

for i in range(1,N+1):
    p = P[i-1]
    for j in range(N+1):
        if j == 0:
            dp[i][j] = dp[i-1][j] * p
        else:
            dp[i][j] = dp[i-1][j-1] * (1-p) + dp[i-1][j] * p


print(sum(dp[N][:N//2+1]))

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

dp = [[0] * (N+1) for _ in range(N+1)]
dp[0][0] = 1

for i in range(1,N+1):
    p = P[i-1]
    for j in range(N+1):
        if j == 0:
            dp[i][j] = dp[i-1][j] * p
        else:
            dp[i][j] = dp[i-1][j-1] * (1-p) + dp[i-1][j] * p


print(sum(dp[N][:N//2+1]))
Buggy python submission (verdict: Runtime Error):
N , T = map(int,input().split())
C=[]

for i in range(N):
    c , t = map(int,input().split())
    if t <= T :
        C.append(c)

C.sort()
print(C[0])

Fixed submission:
N , T = map(int,input().split())
C=[]

for i in range(N):
    c ,t = map(int,input().split())
    if t <= T :
        C.append(c)

C.sort()
if len(C)==0:
    print('TLE')
else:
    print(C[0])
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

v = list(map(int,input().split()))
v_odd = []
v_eve = []
v_odd_set = []
v_eve_set = []
v_odd_count = []
v_eve_count = []
v_o_max = 0
v_e_max = 0

v_odd = v[::2]
v_eve = v[1::2]

v_odd_set = list(set(v_odd))
v_eve_set = list(set(v_eve))

for c in v_odd_set:
    a = v_odd.count(c)
    v_odd_count.append(a)
    if a == max(v_odd_count):
        v_o_max = c
    else:
        continue

for c in v_eve_set:
    a = v_eve.count(c)
    v_eve_count.append(a)
    if a == max(v_eve_count):
        v_e_max = c
    else:
        continue

v_odd_count.sort()
v_eve_count.sort()

if len(v_odd_count) != 1 or len(v_eve_count) != 1:
    if v_o_max == v_e_max:
        if v_odd_count[-1] >= v_eve_count[-2]:
            print(N - v_eve_count[-1] - v_eve_count[-2])
        else:
            print(N - v_odd_count[-1] - v_eve_count[-2])
    else:
        print(N - v_eve_count[-1] - v_odd_count[-1])
else:
    if v_o_max == v_e_max:
        print(int(N/2))
    else:
        print(0)

Fixed submission:
import collections
c = collections.Counter

N = int(input())
v = list(map(int,input().split()))

v_odd = v[::2]
v_eve = v[1::2]

c1 = c(v_odd).most_common(2)
c2 = c(v_eve).most_common(2)

if len(c1) == 1 and len(c2) == 1:
    if c1[0][0] != c2[0][0]:
        ans = 0
    else:
        ans = int(N/2)
else:
    if c1[0] != c2[0]:
        ans = N - c1[0][1] - c2[0][1]
    else:
        if c1[1][1] >= c2[1][1]:
            ans = N - c1[1][1] - c2[0][1]
        else:
            ans = N - c1[0][1] - c2[1][1]

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = list(input())
ans = N + 1

for i in range(1,N - 1):
    E = S[:i - 1].count('W')
    W = S[i + 1:].count('E')
    ans = min(ans, E + W)

first = S[0:].count('E')
end = S[:N - 1].count('W')
ans = min(ans, first, end)

print(ans)

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

rcost = 0
lcost = S.count('E')
if S[0] == 'E':
    lcost -= 1
ans = lcost

for i in range(N-1):
        if S[i] == 'W':
            rcost += 1
        if S[i+1] == 'E':
            lcost -= 1
        ans = min(ans, rcost+lcost)
    
print(ans)
Buggy python submission (verdict: Runtime Error):
S = list(input())
K = int(input())
x = set()

for i in range(len(S)):
    for j in range(1,min(len(S) - i + 1, K + 1)):
        x.add(S[i:i + j])

x = list(x)
x.sort()
print(x[K - 1])

Fixed submission:
S = input()
K = int(input())
x = set()

for i in range(len(S)):
    for j in range(1,min(len(S) - i + 1, K + 1)):
        x.add(S[i:i + j])

x = list(x)
x.sort()
print(x[K - 1])
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
A_list = list(set(A))
count = 0

for c in A_list:
    C = A.count(c)
    if C >= c:
        count += C - c
    else:
        count += C

print(count)

Fixed submission:
import collections

N = int(input())
a = list(map(int, input().split()))
a_s = collections.Counter(a) 
A = a_s.most_common()
count = 0

for i in range(len(A)):
    if int(A[i][1]) >= int(A[i][0]):
        count += int(A[i][1]) - int(A[i][0])
    else:
        count += int(A[i][1])

print(count)
Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int,input().split())
A = list(map(int,input().split()))
c_list = []
count = 0

A_list = list(set(A))
l = len(A_list)

for a in A_list:
    c = A.count(a)
    c_list.append(c)

c_list.sort()

if K >= l:
    print(0)
else:
    for i in range(l - K):
        count += c_list[i]
    print(count) 

Fixed submission:
import collections

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

A_cou = collections.Counter(A)
B = A_cou.most_common()
l = len(B)
count = 0

if K >= l:
    print(0)
else:
    for i in range(l - K):
        count += B[-i-1][1]
    print(count)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))

A_num = list(set(A))
bar_list = []

for a in A_num:
    if A.count(a) > 1:
        bar_list.append(a)
        if A.count(a) > 3:
            bar_list.append(a)

bar_list.sort()
if len(bar_list) < 2:
    print(0)
else: 
    ans = bar_list[-1] * bar_list[-2]
    print(ans)


Fixed submission:
import collections

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

A_count = collections.Counter(A)
A_most = A_count.most_common()

ans = []
for a in A_most:
    if a[1] > 1:
        ans.append(a[0])
        if a[1] > 3:
            ans.append(a[0])

ans.sort()

print(ans[-1] * ans[-2] if len(ans) > 0 else 0)
Buggy python submission (verdict: Runtime Error):
N = int(input())
T = []

for i in range(N):
    T.append(int(input()))

a = 1

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

for i in range(N):
    d = gcd(a, T[i])
    a = int(a * T[i] / d)

print(a) 


Fixed submission:
N = int(input())
T = []

for i in range(N):
    T.append(int(input()))

a = 1

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

for i in range(N):
    a = a * T[i] // gcd(a,T[i])

print(a)

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

for i in range(N):
    T.append(int(input()))

T.sort
a = T[0]

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

for i in range(N-1):
    d = gcd(a, T[i+1])
    a = int(a * T[i+1] / d)

print(a) 


Fixed submission:
N = int(input())
T = []

for i in range(N):
    T.append(int(input()))

a = 1

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

for i in range(N):
    a = a * T[i] // gcd(a,T[i])

print(a)

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

for i in range(N):
    T.append(int(input()))

T.sort
a = T[0]

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

for i in range(N-1):
    d = gcd(a, T[i+1])
    a = int(a * T[i+1] / d)

print(int(a)) 


Fixed submission:
N = int(input())
T = []

for i in range(N):
    T.append(int(input()))

a = 1

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

for i in range(N):
    a = a * T[i] // gcd(a,T[i])

print(a)

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

N = int(input())
T = []

for i in range(N):
    T.append(int(input()))

T.sort
a = T[0]

for i in range(N-1):
    gcd = fractions.gcd(a, T[i+1])
    a = int(a * T[i+1] / gcd)

print(int(a)) 


Fixed submission:
N = int(input())
T = []

for i in range(N):
    T.append(int(input()))

a = 1

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

for i in range(N):
    a = a * T[i] // gcd(a,T[i])

print(a)

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

N = int(input())
T = []

for i in range(N):
    T.append(int(input()))

T.sort
a = T[0]

for i in range(N-1):
    gcd = math.gcd(a, T[i+1])
    a = int(a * T[i+1] / gcd)

print(int(a)) 


Fixed submission:
N = int(input())
T = []

for i in range(N):
    T.append(int(input()))

a = 1

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

for i in range(N):
    a = a * T[i] // gcd(a,T[i])

print(a)

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

N = int(input())
T = []

for i in range(N):
    T.append(int(input()))

T.sort
a = T[0]

for i in range(N-1):
    gcd = math.gcd(a, T[i+1])
    a = int(a * T[i+1] / gcd)

print(int(a)) 


Fixed submission:
N = int(input())
T = []

for i in range(N):
    T.append(int(input()))

a = 1

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

for i in range(N):
    a = a * T[i] // gcd(a,T[i])

print(a)
Buggy python submission (verdict: Runtime Error):
S = int(input())
mod = 10**9+7

dp = [1]+[0]*(S-1)

for i in range(0, S+1):
    for j in range(3, S-2):
        dp[i] += dp[j]

print(dp[S]%mod) 


Fixed submission:
S = int(input())
mod = 10**9+7

dp = [1]+[0]*S

for i in range(1, S+1):
    for j in range(0, i-2):
        dp[i] += dp[j]

print(dp[S]%mod)
Buggy python submission (verdict: Runtime Error):
S = input()
T = input()

cnt = 0

for i in range(len(s)-len(t)+1):
    same = 0
    for j in range(len(t)):
        if S[i + j] == T[j]:
            same += 1
        cnt = max(same, cnt)
print(len(t)-cnt)


Fixed submission:
S = input()
T = input()

cnt = 0

for i in range(len(S)-len(T)+1):
    same = 0
    for j in range(len(T)):
        if S[i + j] == T[j]:
            same += 1
        cnt = max(same, cnt)
print(len(T)-cnt)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
ans = 0
mod = 10**9+7
P = 0
Q = 0

for i in range(N-1):
    for j in range(i+1, N):
        P = A[i] % mod
        Q = A[j] % mod
        ans += (P * Q) % mod
print(ans % mod)


Fixed submission:
N = int(input())
A = list(map(int, input().split()))
mod = 10**9+7
k = int((10**9 + 8)/2)
sum = 0
sum_1 = 0

for i in range(N):
    sum += A[i]
sum = (sum**2)%mod

for j in range(N):
    sum_1 += A[j]**2
sum_1 = (sum_1)%mod

ans = sum - sum_1
ans = (ans*k)%mod

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = list(map(int, input().split()))
ans = 0
mod = 10**9+7
P = 0
Q = 0

for i in range(N-1):
    for j in range(i+1, N):
        P = A[i] % mod
        Q = A[j] % mod
        ans += P * Q
print(ans % mod)


Fixed submission:
N = int(input())
A = list(map(int, input().split()))
mod = 10**9+7
k = int((10**9 + 8)/2)
sum = 0
sum_1 = 0

for i in range(N):
    sum += A[i]
sum = (sum**2)%mod

for j in range(N):
    sum_1 += A[j]**2
sum_1 = (sum_1)%mod

ans = sum - sum_1
ans = (ans*k)%mod

print(ans)
Buggy python submission (verdict: Runtime Error):
n, d = map(int, input().split())
cnt = 0

for i in range(n):
    Z = list(map(int, input().split()))
    X = Z[0]
    Y = Z[1]

    if X**2 + Y**2 <= D**2:
        cnt += 1
print(cnt)


Fixed submission:
N, D = map(int, input().split())
cnt = 0

for i in range(N):
    Z = input()
    Z = Z.split()
    X = int(Z[0])
    Y = int(Z[1])
    if X**2 + Y**2 <= D**2:
        cnt += 1
print(cnt)