Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
from collections import deque
import copy

N, M, K = map(int, input().split())
friend = [deque() for _ in range(N)]
status = [-1]*N
numList = [0]*N

for _ in range(M):
    a, b = map(int, input().split())
    friend[a-1].append(b-1)
    friend[b-1].append(a-1)

def DFS(graph, v, num):
    global numList
    cnt = 1
    stack = [v]
    status[v] = num
    while stack:
        v = stack[-1]
        if graph[v]:
            w = graph[v].popleft()
            if status[w] == -1:
                status[w] = num
                cnt += 1
                stack.append(w) 
        else:
            stack.pop() 
    numList[num] = cnt

cnt = 0
for i in range(N):
    if status[i] == -1:
        DFS(copy.deepcopy(friend), i, cnt)
        cnt += 1

ans = [0]*N
for i in range(N):
    ans[i] = numList[status[i]] - 1 - len(friend[i])
for i in range(K):
    a, b = map(int, input().split())
    if status[a-1] == status[b-1]:
        ans[a-1] -= 1
        ans[b-1] -= 1
print(" ".join(map(str, ans)))


Fixed submission:
import sys
input = sys.stdin.readline
from collections import deque
import copy

N, M, K = map(int, input().split())
friend = [deque() for _ in range(N)]
status = [-1]*N
numList = [0]*N
ans = [0]*N

for _ in range(M):
    a, b = map(int, input().split())
    friend[a-1].append(b-1)
    friend[b-1].append(a-1)
    ans[a-1] -= 1
    ans[b-1] -= 1

def DFS(graph, v, num):
    cnt = 0
    stack = [v]
    status[v] = num
    while stack:
        v = stack[-1]
        if graph[v]:
            w = graph[v].popleft()
            if status[w] == -1:
                status[w] = num
                cnt += 1
                stack.append(w) 
        else:
            stack.pop() 
    numList[num] = cnt

cnt = 0
for i in range(N):
    if status[i] == -1:
        DFS(friend, i, cnt)
        cnt += 1

for i in range(N):
    ans[i] += numList[status[i]]

for i in range(K):
    a, b = map(int, input().split())
    if status[a-1] == status[b-1]:
        ans[a-1] -= 1
        ans[b-1] -= 1

print(" ".join(map(str, ans)))
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline

N, D, A = map(int, input().split())
S = [0]*N
for i in range(N):
    x, h = map(int, input().split())
    if h % A == 0:
        h //= A
    else:
        h = h//A + 1
    S[i] = [x, h]

S.sort()
print(S)
cnt = 0

for i in range(N):
    if S[i][1] <= 0:
        continue
    cnt += S[i][1]
    dmg = S[i][1]
    max_X = S[i][0] + D*2
    for j in range(i+1, N):
        if S[j][0] > max_X:
            break
        S[j][1] -= dmg

print(cnt)


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

if H % A == 0:
    print(H//A)
else:
    print(H // A + 1)
Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd
P = 10**9+7
N = int(input())
S = list(map(int, input().split()))

temp = S[0]
for i in range(1, N):
    temp = temp*S[i] // gcd(temp, S[i])

ans = 0
for i in range(N):
    ans = (temp//S[i]+ans)%P
print(ans)

Fixed submission:
# from fractions import gcd
# P = 10**9+7
# N = int(input())
# S = list(map(int, input().split()))

# l = {2:0}
# for num in S:
#     temp = num
#     M = temp//2+2
#     cnt = 0
#     while temp%2 == 0:
#         cnt += 1
#         temp //= 2
#     l[2] = max(l[2], cnt)
#     i = 3
#     while temp > 1 and i < M:
#         cnt = 0
#         while temp%i == 0:
#             cnt += 1
#             temp //= i
#         if cnt > 0:
#             if i in l:
#                 l[i] = max(l[i], cnt)
#             else:
#                 l[i] = cnt
#         i += 2
#     if temp > 1:
#         if temp in l:
#             l[temp] = max(l[temp], 1)
#         else:
#             l[temp] = 1
    
    
# ans = 0
# for i in range(N):
#     ans = (temp//S[i]+ans)%P
# print(ans)



from fractions import gcd
P = 10**9+7
N = int(input())
S = list(map(int, input().split()))
 
temp = S[0]
for i in range(1, N):
    temp = temp*S[i] // gcd(temp, S[i])
temp %= P
 
ans = 0
for num in S:
    ans = ((temp*pow(num, P-2, P))%P+ans)%P
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
from fractions import gcd
P = 10**9+7
N = int(input())
S = list(map(int, input().split()))

temp = S[0]
for i in range(1, N):
    temp = temp*S[i] // gcd(temp, S[i])

ans = 0
for i in range(N):
    ans = (temp//S[i]+ans)%P
print(ans)

Fixed submission:
# from fractions import gcd
# P = 10**9+7
# N = int(input())
# S = list(map(int, input().split()))

# l = {2:0}
# for num in S:
#     temp = num
#     M = temp//2+2
#     cnt = 0
#     while temp%2 == 0:
#         cnt += 1
#         temp //= 2
#     l[2] = max(l[2], cnt)
#     i = 3
#     while temp > 1 and i < M:
#         cnt = 0
#         while temp%i == 0:
#             cnt += 1
#             temp //= i
#         if cnt > 0:
#             if i in l:
#                 l[i] = max(l[i], cnt)
#             else:
#                 l[i] = cnt
#         i += 2
#     if temp > 1:
#         if temp in l:
#             l[temp] = max(l[temp], 1)
#         else:
#             l[temp] = 1
    
    
# ans = 0
# for i in range(N):
#     ans = (temp//S[i]+ans)%P
# print(ans)



from fractions import gcd
P = 10**9+7
N = int(input())
S = list(map(int, input().split()))
 
temp = S[0]
for i in range(1, N):
    temp = temp*S[i] // gcd(temp, S[i])
temp %= P
 
ans = 0
for num in S:
    ans = ((temp*pow(num, P-2, P))%P+ans)%P
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
P = 10**9+7
N, K = map(int, input().split())
S = list(map(int, input().split()))
S.sort()
ans = 0
c = 1
for i in range(N-K+1):
    ans += (S[K-1+i]*c)%P
    ans -= (S[N-K-i]*c)%P
    ans %= P
    c = c*(K+i)//(i+1)
print(ans)

Fixed submission:
P = 10**9+7
N, K = map(int, input().split())
S = list(map(int, input().split()))
S.sort()
ans = 0
c = 1
for i in range(N-K+1):
    ans += (S[K-1+i]*c)%P
    ans -= (S[N-K-i]*c)%P
    ans %= P
    c = c*(K+i)*pow(i+1, P-2, P)%P
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
P = 10**9+7
N, K = map(int, input().split())
S = list(map(int, input().split()))
S.sort()
ans = 0
c = 1
for i in range(N-K+1):
    ans += (S[K-1+i]-S[N-K-i])*c
    ans %= P
    c = c*(K+i)//(i+1)
print(ans)

Fixed submission:
P = 10**9+7
N, K = map(int, input().split())
S = list(map(int, input().split()))
S.sort()
ans = 0
c = 1
for i in range(N-K+1):
    ans += (S[K-1+i]*c)%P
    ans -= (S[N-K-i]*c)%P
    ans %= P
    c = c*(K+i)*pow(i+1, P-2, P)%P
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
P = 10**9+7
N, K = map(int, input().split())
S = list(map(int, input().split()))
S.sort()
ans = 0
c = 1
for i in range(N-K+1):
    ans += (S[K-1+i]-S[N-K-i])*c
    ans %= P
    c = c*(K+i)//(i+1)
print(ans)

Fixed submission:
P = 10**9+7
N, K = map(int, input().split())
S = list(map(int, input().split()))
S.sort()
ans = 0
c = 1
for i in range(N-K+1):
    ans += (S[K-1+i]*c)%P
    ans -= (S[N-K-i]*c)%P
    ans %= P
    c = c*(K+i)*pow(i+1, P-2, P)%P
print(ans)
Buggy python submission (verdict: Runtime Error):
from math import gcd
N, M = map(int, input().split())
S = list(map(int, input().split()))

temp = S[0]
for i in range(1, N):
    temp = temp*S[i]//gcd(temp, S[i])
if temp//2 > M:
    print(0)
else:
    print((M-temp//2)//temp+1)

Fixed submission:
from fractions import gcd
N, M = map(int, input().split())
S = list(map(int, input().split()))

temp = S[0]
cnt = 0
while temp%2 == 0:
    temp //= 2
    cnt += 1
temp = S[0]
for i in range(1, N):
    temp = temp*S[i]//gcd(temp, S[i])
    if S[i]%(2**cnt) == 1 or (S[i]//(2**cnt))%2 == 0:
        print(0)
        break
else:      
    if temp//2 > M:
        print(0)
    else:
        print((M-temp//2)//temp+1)
Buggy python submission (verdict: Runtime Error):
N = int(input())
S = list(map(int, input().split()))

ans = [0]*N
for i in range(Nh):
    ans[S[i]-1] = i+1
print(" ".join(map(str, ans)))

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

ans = [0]*N
for i in range(N):
    ans[S[i]-1] = i+1
print(" ".join(map(str, ans)))
Buggy python submission (verdict: Time Limit Exceeded):
import heapq
N, M = map(int, input().split())
S = [[0] for _ in range(M)]
for _ in range(N):
    a, b = map(int, input().split())
    if M < a:
        continue
    heapq.heappush(S[M-a], -b)

ans = heapq.heappop(S[M-1])
for i in range(M-2, -1, -1):
    for num in S[i+1]:
        heapq.heappush(S[i], num)
    ans += heapq.heappop(S[i])
print(-ans)

Fixed submission:
import heapq
N, M = map(int, input().split())
S = list()
A = [list() for _ in range(M+1)]
for _ in range(N):
    a, b = map(int, input().split())
    if M < a:
        continue
    heapq.heappush(A[a], -b)

ans = 0
for i in range(1, M+1):
    for num in A[i]:
        heapq.heappush(S, num)
    if S == []:
        continue
    ans -= heapq.heappop(S)
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
N, M = map(int, input().split())
S = [[0] for _ in range(M)]
for _ in range(N):
    a, b = map(int, input().split())
    if M < a:
        continue
    heapq.heappush(S[M-a], -b)

ans = heapq.heappop(S[M-1])
for i in range(M-2, -1, -1):
    for num in S[i+1]:
        heapq.heappush(S[i], num)
    ans += heapq.heappop(S[i])
print(-ans)

Fixed submission:
import heapq
N, M = map(int, input().split())
S = list()
A = [list() for _ in range(M+1)]
for _ in range(N):
    a, b = map(int, input().split())
    if M < a:
        continue
    heapq.heappush(A[a], -b)

ans = 0
for i in range(1, M+1):
    for num in A[i]:
        heapq.heappush(S, num)
    if S == []:
        continue
    ans -= heapq.heappop(S)
print(ans)
Buggy python submission (verdict: Runtime Error):
import heapq
N = int(input())
A = list(int(input()) for _ in range(N))

S = [A[0]]
for i in range(1, N):
    if A[i] <= S[0]:
        S.insert(0, A[i])
        continue
    ok = 0
    ng = len(S)
    while ok+1 < ng:
        tmp = (ok+ng)//2
        if A[i] > S[tmp]:
            ok = tmp
        else:
            ng = tmp
    S[tmp] = A[i]
print(len(S))


Fixed submission:
N = int(input())
A = list(int(input()) for _ in range(N))

S = [A[0]]
for i in range(1, N):
    if A[i] <= S[0]:
        S.insert(0, A[i])
        continue
    ok = 0
    ng = len(S)
    tmp = (ok+ng)
    while ok+1 < ng:
        tmp = (ok+ng)//2
        if A[i] > S[tmp]:
            ok = tmp
        else:
            ng = tmp
    S[ok] = A[i]
print(len(S))
Buggy python submission (verdict: Runtime Error):
from itertools import combinations
N = int(input())
d = [list(map(int, input().split())) for _ in range(N)]

dd = dict()
t = 0

for n ,m in combinations(d, 2):
    if n[0] == m[0]:
        t += 1
    else:
        a = (m[1]-n[1])/(m[0]-n[0])
        if a in dd:
            dd[a] += 1
        else:
            dd.setdefault(a, 1)

M = max(t, *dd.values())
if M == 1:
    print(N-1)
else:
    for i in range(1, 51):
        if M == (i*(i+1))//2:
            M = i
            break
    print(N-M)


Fixed submission:
N = int(input())
S = list(tuple(map(int, input().split())) for _ in range(N))
A = []
if N == 1:
    print(1)
else:
    for i in range(N):
        for j in range(N):
            if i == j:
                continue
            a, b = S[i]
            c, d = S[j]
            for k in range(len(A)):
                e, f, g = A[k]
                if e == a-c and f == b-d:
                    A[k] = (e, f, g+1)
                    break
            else:
                A.append((a-c, b-d, 1))
    print(N-max(list(x[2] for x in A)))

Buggy python submission (verdict: Runtime Error):
from itertools import combinations
N = int(input())
d = [list(map(int, input().split())) for _ in range(N)]

dd = dict()
t = 0

for n ,m in combinations(d, 2):
    if n[0] == m[0]:
        t += 1
    else:
        a = (m[1]-n[1])/(m[0]-n[0])
        if a in dd:
            dd[a] += 1
        else:
            dd.setdefault(a, 1)

M = max(t, *dd.values())
for i in range(1, 51):
    if M == (i*(i+1))//2:
        M = i
        break
print(N-M)


Fixed submission:
N = int(input())
S = list(tuple(map(int, input().split())) for _ in range(N))
A = []
if N == 1:
    print(1)
else:
    for i in range(N):
        for j in range(N):
            if i == j:
                continue
            a, b = S[i]
            c, d = S[j]
            for k in range(len(A)):
                e, f, g = A[k]
                if e == a-c and f == b-d:
                    A[k] = (e, f, g+1)
                    break
            else:
                A.append((a-c, b-d, 1))
    print(N-max(list(x[2] for x in A)))

Buggy python submission (verdict: Runtime Error):
from itertools import combinations
N = int(input())
d = [list(map(int, input().split())) for _ in range(N)]

dd = dict()
t = 0

for n ,m in combinations(d, 2):
    if n[0] == m[0]:
        t += 1
    else:
        a = (m[1]-n[1])/(m[0]-n[0])
        if a in dd:
            dd[a] += 1
        else:
            dd.setdefault(a, 1)

print(N-max(t, *dd.values()))


Fixed submission:
N = int(input())
S = list(tuple(map(int, input().split())) for _ in range(N))
A = []
if N == 1:
    print(1)
else:
    for i in range(N):
        for j in range(N):
            if i == j:
                continue
            a, b = S[i]
            c, d = S[j]
            for k in range(len(A)):
                e, f, g = A[k]
                if e == a-c and f == b-d:
                    A[k] = (e, f, g+1)
                    break
            else:
                A.append((a-c, b-d, 1))
    print(N-max(list(x[2] for x in A)))
Buggy python submission (verdict: Time Limit Exceeded):
H, W, N = map(int, input().split())
h, w = map(int, input().split())
S = input()
T = input()

h -= 1
w -= 1
bord = [[0]*W for _ in range(H)]
for i in range(N):
    if S[i] == "L":
        if w-1 < W-w-1:
            w -= 1
    elif S[i] == "R":
        if w > W-w-2:
            w += 1
    elif S[i] == "U":
        if h-1 < H-h-1:
            h -= 1
    elif S[i] == "D":
        if h > H-h-2:
            h += 1
    if w == 0 or h == 0 or h == H or w == W:
        print("NO")
        break

    if T[i] == "L":
        if w-1 > W-w-1:
            w -= 1
    elif T[i] == "R":
        if w < W-w-2:
            w += 1
    elif T[i] == "U":
        if h-1 > H-h-1:
            h -= 1
    elif T[i] == "D":
        if h < H-h-2:
            h += 1
else:
    print("YES")


Fixed submission:
H, W, N = map(int, input().split())
h, w = map(int, input().split())
S = input()
T = input()

h -= 1
w -= 1
for i in range(N):
    if S[i] == "L":
        if w-1 < W-w-1:
            w -= 1
    elif S[i] == "R":
        if w > W-w-2:
            w += 1
    elif S[i] == "U":
        if h-1 < H-h-1:
            h -= 1
    elif S[i] == "D":
        if h > H-h-2:
            h += 1
    if w == 0 or h == 0 or h == H or w == W:
        print("NO")
        break

    if T[i] == "L":
        if w-1 > W-w-1:
            w -= 1
    elif T[i] == "R":
        if w < W-w-2:
            w += 1
    elif T[i] == "U":
        if h-1 > H-h-1:
            h -= 1
    elif T[i] == "D":
        if h < H-h-2:
            h += 1
else:
    print("YES")
Buggy python submission (verdict: Runtime Error):
S = input()
T = "ACGT"
ans = 0

i = 0
while i < len(S):
    if S[i] in T:
        temp = 1
        for j in range(i+1, len(S)):
            if S[j] in T:
                temp += 1
            else:
                break
        ans = max(ans, temp)
        i = max(i+1, j+1)
    else:
        i += 1

print(ans)


Fixed submission:
S = input()
T = "ACGT"
ans = 0

i = 0
while i < len(S):
    if S[i] in T:
        temp = 1
        for j in range(i+1, len(S)):
            if S[j] in T:
                temp += 1
            else:
                break
        ans = max(ans, temp)
        i += 1
    else:
        i += 1

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
INFTY = 10**9

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

dp = [INFTY] * (N+1)
dp[0] = 0
for i in range(1,N):
    j = 1
    while j <= K and i-j >= 0:
        dp[i] = min(dp[i], dp[i-j]+abs(H[i-j]-H[i]))
        j += 1

print(dp[N-1])

Fixed submission:
INFTY = 10**9

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

dp = [INFTY] * N
dp[0] = 0
for i in range(1,N):
    j = 1
    while j <= K and i-j >= 0:
        dp[i] = min(dp[i], dp[i-j]+abs(H[i-j]-H[i]))
        j += 1

print(dp[N-1])
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
S = [list(map(int, input().split())) for _ in range(N)]

dp = [[0]*3 for _ in range(M)]
ans = [0]*8

for roop in range(8):
    dp = [[0]*3 for _ in range(M+1)]
    a, b, c = 1, 1, 1
    if roop&1 == 1:
        a = -1
    if (roop>>1)&1 == 1:
        b = -1
    if (roop>>2)&1 == 1:
        c = -1
    for i in range(N):
        for j in range(min(i, M-1), -1, -1):
            if a*(dp[j][0]+S[i][0])+b*(dp[j][1]+S[i][1])+c*(dp[j][2]+S[i][2]) > a*dp[j+1][0]+b*dp[j+1][1]+c*dp[j+1][2]:
                dp[j+1][0] = dp[j][0] + S[i][0]
                dp[j+1][1] = dp[j][1] + S[i][1]
                dp[j+1][2] = dp[j][2] + S[i][2]
    ans[roop] = a*dp[M][0]+b*dp[M][1]+c*dp[M][2]

print(max(ans))

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

dp = [[0]*3 for _ in range(M)]
ans = [0]*8

for roop in range(8):
    a, b, c = 1, 1, 1
    if roop&1 == 1:
        a = -1
    if (roop>>1)&1 == 1:
        b = -1
    if (roop>>2)&1 == 1:
        c = -1
    dp = [[-a*10**20, -b*10**20, -c*10**20] for _ in range(M+1)]
    dp[0][0] = 0
    dp[0][1] = 0
    dp[0][2] = 0
    for i in range(N):
        for j in range(min(i, M-1), -1, -1):
            if a*(dp[j][0]+S[i][0])+b*(dp[j][1]+S[i][1])+c*(dp[j][2]+S[i][2]) > a*dp[j+1][0]+b*dp[j+1][1]+c*dp[j+1][2]:
                dp[j+1][0] = dp[j][0] + S[i][0]
                dp[j+1][1] = dp[j][1] + S[i][1]
                dp[j+1][2] = dp[j][2] + S[i][2]
    ans[roop] = a*dp[M][0]+b*dp[M][1]+c*dp[M][2]

print(max(ans))
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))

cnt = sum(B) - sum(A)
a, b = cnt, cnt
for i in range(N):
    if A[i] < B[i]:
        b -= (B[i]-A[i+1])//2
    elif A[i] > B[i]:
        a -= A[i]-B[i]
    if a < 0 or b < 0:
        print("No")
        break
else:
    print("Yes")

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

cnt = sum(B) - sum(A)
a, b = cnt, cnt
for i in range(N):
    if A[i] < B[i]:
        b -= (B[i]-A[i]+1)//2
    elif A[i] > B[i]:
        a -= A[i]-B[i]
    if a < 0 or b < 0:
        print("No")
        break
else:
    print("Yes")

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

cnt = sum(B) - sum(A)
a, b = cnt, cnt
for i in range(N):
    if A[i] < B[i]:
        cnt -= (B[i]-A[i+1])//2
    elif A[i] > B[i]:
        a -= A[i]-B[i]
    if a < 0 or b < 0:
        print("No")
        break
else:
    print("Yes")

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

cnt = sum(B) - sum(A)
a, b = cnt, cnt
for i in range(N):
    if A[i] < B[i]:
        b -= (B[i]-A[i]+1)//2
    elif A[i] > B[i]:
        a -= A[i]-B[i]
    if a < 0 or b < 0:
        print("No")
        break
else:
    print("Yes")
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import permutations
N, W, R = map(int, input().split())
S = list(map(int, input().split()))

INFTY = 10**9
cost = [[INFTY]*(N+1) for _ in range(N+1)]

# 辺を入力
for _ in range(W):
    u, v, c = map(int, input().split())
    cost[u][v] = c
    cost[v][u] = c

# 自身に向かうコストは0
for i in range(N+1):
    cost[i][i] = 0


def WarshallFloyd():
    for k in range(N+1):
        for i in range(N+1):
            for j in range(N+1):
                cost[i][j] = min(cost[i][j], cost[i][k]+cost[k][j])


WarshallFloyd()

ans = 10**9
for T in permutations(S, R):
    temp = 0
    t = T[0]
    for i in range(1, R):
        temp += cost[t][T[i]]
        t = T[i]
    ans = min(ans, temp)
print(ans)


Fixed submission:
from itertools import permutations
N, W, R = map(int, input().split())
S = list(map(int, input().split()))

INFTY = 10**9
cost = [[INFTY]*(N+1) for _ in range(N+1)]

# 辺を入力
for _ in range(W):
    u, v, c = map(int, input().split())
    cost[u][v] = c
    cost[v][u] = c

# 自身に向かうコストは0
for i in range(N+1):
    cost[i][i] = 0


def WarshallFloyd():
    for k in range(N+1):
        for i in range(N+1):
            for j in range(N+1):
                cost[i][j] = min(cost[i][j], cost[i][k]+cost[k][j])


WarshallFloyd()

ans = 10**9
for T in permutations(S, R):
    temp = 0
    t = T[0]
    for i in range(1, R):
        temp += cost[t][T[i]]
        t = T[i]
    ans = min(ans, temp)
print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())

S = [50]*26

for i in range(N):
    s = [0]*26
    for item in input():
        s[ord(item)-97] += 1
    for i in range(26):
        S[i] = min(S[i], s[i])

ans = ""
for i in range(N):
    ans += chr(97+i)*S[i]
print(ans)



Fixed submission:
N = int(input())

S = [50]*26

for i in range(N):
    s = [0]*26
    for item in input():
        s[ord(item)-97] += 1
    for i in range(26):
        S[i] = min(S[i], s[i])

ans = ""
for i in range(26):
    ans += chr(97+i)*S[i]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = 1
B = 1
for _ in range(N):
    a, b = map(int, input().split())
    if a == b:
        A = max(A, B)
        B = max(A, B)
    elif a < b:
        if A%a == 0:
            pass
        else:
            A = (A//a+1)*a
        while (A//a)*b < B:
            A += a
        B = (A//a)*b
    else:
        if B%b == 0:
            pass
        else:
            B = (B//b+1)*b
        while (B//b)*a < A:
            B += b
        A = (B//b)*a
print(A+B)

    

Fixed submission:
N = int(input())
A = 1
B = 1
for _ in range(N):
    a, b = map(int, input().split())
    if a == b:
        A = max(A, B)
        B = max(A, B)
    else:
        if A%a == 0:
            aa = A//a
        else:
            aa = A//a + 1
        if B%b == 0:
            bb = B//b
        else:
            bb = B//b + 1
        tmp = max(aa, bb)
        A = tmp*a
        B = tmp*b

print(A+B)
Buggy python submission (verdict: Runtime Error):
import itertools
 
N=int(input())
L=list(map(int,input().split()))
 
if len(L)<3:
    Lis=[]
    print(0)
elif Lis[0][0]==Lis[0][1] or Lis[0][0]==Lis[0][2] or Lis[0][1]==Lis[0][2]:
    Lis=[]
    print(0)
else:
    Lis=list(itertools.combinations(L,3))

numb=len(Lis)
count=0
 
for i in range(numb):
    if len(L)<3:
        break
 
    if Lis[i][0]==Lis[i][1] or Lis[i][0]==Lis[i][2] or Lis[i][1]==Lis[i][2]:
        pass
    else:
        bpc=Lis[i][1]+Lis[i][2]
        bmc=abs(Lis[i][1]-Lis[i][2])
        if bmc<Lis[i][0] and Lis[i][0]<bpc:
            count+=1
 
print(count)

Fixed submission:
import itertools
 
N=int(input())
L=list(map(int,input().split()))

count=0

if len(L)<3:
    Lis=[]
else:
    Lis=list(itertools.combinations(L,3))
 
numb=len(Lis)

for i in range(numb):
    if len(L)<3:
        break
 
    if Lis[i][0]==Lis[i][1] or Lis[i][0]==Lis[i][2] or Lis[i][1]==Lis[i][2]:
        pass
    else:
        bpc=Lis[i][1]+Lis[i][2]
        bmc=abs(Lis[i][1]-Lis[i][2])
        if bmc<Lis[i][0] and Lis[i][0]<bpc:
            #if Lis[i][0]<bpc:
            count+=1
 
print(count)
Buggy python submission (verdict: Runtime Error):
L,R,d=(int(x) for x in input().split())

te=R-L+1
num=0

for i in range(te):
    if L%d==0:
        num+=1
        L+=1
    else:
        L+=1
    
    print(i)

print(num

Fixed submission:
L,R,d=(int(x) for x in input().split())

te=R-L+1
num=0

for i in range(te):
    if L%d==0:
        num+=1
        L+=1
    else:
        L+=1

print(num)
Buggy python submission (verdict: Runtime Error):
n=1
turi=1000*n

while N<1000*n:
  if N<1000*n:
    return turi=1000*n-N
  else:
    n+=1
  

Fixed submission:
N=int(input())

n=1
kane=1000*n

while True:
    if N<=kane:
        print(kane-N)
        break
    else:
        n+=1
        kane=1000*n