Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
N, K = map(int, input().split())
A = tuple(map(int, input().split()))

if K <= 200000:
  i = 1
  for _ in range(K):
    i = A[i-1]
  print(i)
  exit()

visited = {1}
order = []

i = 1
for count in range(1, 200001):
  i = A[i-1]
  if i in visited:
    break
  else:
    visited.add(i)
  order.append(i)

idx = order.index(i)
order2 = order[idx:]
mod = (K-idx) % len(order2)

print(order2[mod-1])

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

if K <= 200000:
  i = 1
  for _ in range(K):
    i = A[i-1]
  print(i)
  exit()

visited = {1}
order = [1]

i = 1
for count in range(1, 200001):
  i = A[i-1]
  if i in visited:
    break
  else:
    visited.add(i)
  order.append(i)

idx = order.index(i)
order2 = order[idx:]
# print(order2)
mod = (K+1-idx) % len(order2)

print(order2[mod-1])
Buggy python submission (verdict: Runtime Error):
a, b, c = map(int, input().split())
# import math
# left = a + b + 2 * math.sqrt(a * b)
left = 4 * a * b
right = (c - a - b) ** 2
if (c - a - b) >= 0　and left < right:
  print('Yes')
else:
  print('No')


Fixed submission:
a, b, c = map(int, input().split())
# import math
# left = a + b + 2 * math.sqrt(a * b)
left = 4 * a * b
right = (c - a - b) ** 2
if (c - a - b) >= 0 and left < right:
  print('Yes')
else:
  print('No')
Buggy python submission (verdict: Time Limit Exceeded):
H, N = map(int, input().split())
AB = [tuple(map(int, input().split())) for _ in range(N)]

dp = [0] * (H+1)

for i in range(1, 1+H):
  dp[i] = 10 ** 8
  for A, B in AB:
    if i >= A:
      t = dp[i - A] + B
      if t < dp[i]:
        dp[i] = t
    else:
      if B < dp[i]:
        dp[i] = B

# print(dp)
print(dp[-1])


Fixed submission:
H, N = map(int, input().split())
AB = [tuple(map(int, input().split())) for _ in range(N)]

dp = [0] * (H+1)

for i in range(1, 1+H):
  dp[i] = 10 ** 8
  for A, B in AB:
    if i >= A:
      t = dp[i - A] + B
      if t < dp[i]:
        dp[i] = t
    else:
      if B < dp[i]:
        dp[i] = B

# print(dp)
print(dp[-1])
Buggy python submission (verdict: Runtime Error):
import math

A, B = map(int, input().split())
print(A * B // math.gcd(A, B))


Fixed submission:
import fractions

A, B = map(int, input().split())
print(A * B // fractions.gcd(A, B))
Buggy python submission (verdict: Runtime Error):
import math
N = int(input())

if (N % 2) == 1:
  print(0)
  exit()

total = 0

for i in range(1, 2+int(math.log(N, 5))):
  t = 5 ** i * 2
  total += N // t

print(total)


Fixed submission:
import math
N = int(input())

if (N % 2) == 1:
  print(0)
  exit()

total = 0

for i in range(1, 2+int(math.log(10**18, 5))):
  t = 5 ** i * 2
  total += N // t

print(total)
Buggy python submission (verdict: Time Limit Exceeded):
import bisect
n = int(input())
L = list(map(int, input().split()))
L.sort()

count = 0
for i in range(0, n-2):
  for j in range(i+1, n-1):
    t = L[i] + L[j]
    count += bisect.bisect_left(L[j+1:], t)

print(count)


Fixed submission:
import bisect
n = int(input())
L = list(map(int, input().split()))
L.sort()

count = 0
for i in range(0, n-2):
  for j in range(i+1, n-1):
    t = L[i] + L[j]
    idx = bisect.bisect_left(L, t)
    count += idx - (j+1)

print(count)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
L = list(map(int, input().split()))
L.sort(reverse=True)

count = 0
for i in range(0, n-2):
  for j in range(i+1, n-1):
    for k in range(j+1, n):
      if L[i] < (L[j] + L[k]):
        count += 1
      else:
        break
print(count)


Fixed submission:
import bisect
n = int(input())
L = list(map(int, input().split()))
L.sort()

count = 0
for i in range(0, n-2):
  for j in range(i+1, n-1):
    t = L[i] + L[j]
    idx = bisect.bisect_left(L, t)
    count += idx - (j+1)

print(count)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
L = list(map(int, input().split()))
L.sort()

count = 0
for i in range(0, n-2):
  for j in range(i+1, n-1):
    t = L[i] + L[j]
    for k in range(n-1, j, -1):
      if L[k] < t:
        count += k - j
        break

print(count)


Fixed submission:
import bisect
n = int(input())
L = list(map(int, input().split()))
L.sort()

count = 0
for i in range(0, n-2):
  for j in range(i+1, n-1):
    t = L[i] + L[j]
    idx = bisect.bisect_left(L, t)
    count += idx - (j+1)

print(count)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
L = list(map(int, input().split()))
L.sort()

count = 0
for i in range(0, n-2):
  for j in range(i+1, n-1):
    t = L[i] + L[j]
    for k in range(n-1, j, -1):
      if L[k] < t:
        count += k - j
        break

print(count)


Fixed submission:
import bisect
n = int(input())
L = list(map(int, input().split()))
L.sort()

count = 0
for i in range(0, n-2):
  for j in range(i+1, n-1):
    t = L[i] + L[j]
    idx = bisect.bisect_left(L, t)
    count += idx - (j+1)

print(count)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
L = list(map(int, input().split()))
L.sort(reverse=True)

count = 0
for i in range(0, n-2):
  for j in range(i+1, n-1):
    for k in range(j+1, n):
      if L[i] < (L[j] + L[k]):
        count += 1
      else:
        break
print(count)


Fixed submission:
import bisect
n = int(input())
L = list(map(int, input().split()))
L.sort()

count = 0
for i in range(0, n-2):
  for j in range(i+1, n-1):
    t = L[i] + L[j]
    idx = bisect.bisect_left(L, t)
    count += idx - (j+1)

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

def is_prime(num):
    dest = int(fractions.sqrt(num))
    for i in range(2, dest+1):
        if num % i == 0:
            return False
    return True

def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors

a, b = map(int, input().split())
g = math.gcd(a, b)
if is_prime(g):
  print(2)
  exit()

l = make_divisors(g)
count = 0
for e in l:
  if is_prime(e):
    count += 1
print(count)


Fixed submission:
import math
import fractions

def is_one_or_prime(num):
    dest = int(math.sqrt(num))
    for i in range(2, dest+1):
        if num % i == 0:
            return False
    return True

def make_divisors(n):
    divisors = []
    for i in range(1, int(n**0.5)+1):
        if n % i == 0:
            divisors.append(i)
            if i != n // i:
                divisors.append(n//i)

    # divisors.sort()
    return divisors

a, b = map(int, input().split())
g = fractions.gcd(a, b)
l = make_divisors(g)
count = 0
for e in l:
  if is_one_or_prime(e):
    count += 1
print(count)
Buggy python submission (verdict: Runtime Error):
s = int(input())
xy = [0, 0, 10**9, 1, 0, 0]

m = s % xy[2]
d = s // x[2]

xy[4] = 0 if m == 0 else (xy[2] - m)
xy[5] = d if m == 0 else (d + 1)

print(*xy)


Fixed submission:
s = int(input())
xy = [0, 0, 10**9, 1, 0, 0]

m = s % xy[2]
d = s // xy[2]

xy[4] = 0 if m == 0 else (xy[2] - m)
xy[5] = d if m == 0 else (d + 1)

print(*xy)
Buggy python submission (verdict: Runtime Error):
from sys import stdin
from collections import Counter

input = stdin.readline

n = int(input())
xy = [tuple(map(int, input().split())) for _ in range(n)]

l = []
append = l.append
for i in range(n):
  for j in range(n):
    if not i == j:
      append((xy[j][0]-xy[i][0], xy[j][1]-xy[i][1]))
c = Counter(l)
print(n-c.most_common()[0][1])

Fixed submission:
from sys import stdin
from collections import Counter

input = stdin.readline

n = int(input())
if n == 1:
  print(1)
  exit()

xy = [tuple(map(int, input().split())) for _ in range(n)]

l = []
append = l.append
for i in range(n):
  for j in range(n):
    if not i == j:
      append((xy[j][0]-xy[i][0], xy[j][1]-xy[i][1]))
c = Counter(l)
print(n-c.most_common()[0][1])
Buggy python submission (verdict: Time Limit Exceeded):
n, m = map(int, input().split())
a = [int(input()) for _ in range(m)]
m = 10**9+7

dp = [0 for _ in range(n+1)]
dp[0] = 1
dp[1] = 1
if 1 in a:
  dp[1] = 0

for i in range(2, n+1):
  dp[i] = 0 if i in a else (dp[i-2] + dp[i-1]) % m

print(dp[-1])


Fixed submission:
n, m = map(int, input().split())
a = set(int(input()) for _ in range(m))
m = 10**9+7

dp = [0 for _ in range(n+1)]
dp[0] = 1
dp[1] = 1
if 1 in a:
  dp[1] = 0

for i in range(2, n+1):
  dp[i] = 0 if i in a else (dp[i-2] + dp[i-1]) % m

print(dp[-1])

Buggy python submission (verdict: Time Limit Exceeded):
n, m = map(int, input().split())
a = [int(input()) for _ in range(m)]
m = 10**9+7

dp = [1, 1]
if 1 in a:
  dp[1] = 0

for i in range(2, n+1):
  t = 0 if i in a else (dp[i-2] + dp[i-1]) % m
  dp.append(t)

print(dp[-1])


Fixed submission:
n, m = map(int, input().split())
a = set(int(input()) for _ in range(m))
m = 10**9+7

dp = [0 for _ in range(n+1)]
dp[0] = 1
dp[1] = 1
if 1 in a:
  dp[1] = 0

for i in range(2, n+1):
  dp[i] = 0 if i in a else (dp[i-2] + dp[i-1]) % m

print(dp[-1])

Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(100000)
nCr = {}
def cmb(n, r):
  if r == 0 or r == n: return 1
  if r == 1: return n
  if (n,r) in nCr: return nCr[(n,r)]
  nCr[(n,r)] = cmb(n-1,r) + cmb(n-1,r-1)
  return nCr[(n,r)]

def calc(x):
  total = 1
  m = x // 2
  for i in range(1, 1+m):
    t = cmb((x-i), i)
    total += t
  # print((x, total))
  return total

n, m = map(int, input().split())

total = 1
b = int(input())
total *= calc(b-1)

for _ in range(m-1):
  a = int(input())
  t = a - b - 1
  b = a
  if t == 0:
    total = 0
    break
  total *= calc(t)

total *= calc(n-b-1)

print(total % 10000000007)


Fixed submission:
n, m = map(int, input().split())
a = set(int(input()) for _ in range(m))
m = 10**9+7

dp = [0 for _ in range(n+1)]
dp[0] = 1
dp[1] = 1
if 1 in a:
  dp[1] = 0

for i in range(2, n+1):
  dp[i] = 0 if i in a else (dp[i-2] + dp[i-1]) % m

print(dp[-1])
Buggy python submission (verdict: Time Limit Exceeded):
h, w = map(int, input().split())
s = []
for i in range(h):
  s.append(input())
  # print(s[i])

r = [[[0, 0] for _ in range(w)] for _ in range(h)]

for i in range(h):
  count = 0
  p = -1
  for j in range(w):
    if s[i][j] == '.':
      count += 1
      if p == -1:
        p = j
    else:
      if not p == -1:
        for k in range(p, j):
          r[i][k][0] = count
        p = -1
        count = 0
  if not p == -1:
    for k in range(p, j+1):
      r[i][k][0] = count

for j in range(w):
  count = 0
  p = -1
  for i in range(h):
    if s[i][j] == '.':
      count += 1
      if p == -1:
        p = i
    else:
      if not p == -1:
        for k in range(p, i):
          r[k][j][1] = count
        p = -1
        count = 0
  if not p == -1:
    for k in range(p, i+1):
      r[k][j][1] = count

ans = 0

for row in r:
  # print(row)
  for e in row:
    t = e[0] + e[1]
    if ans < t:
      ans = t

print(ans-1)

Fixed submission:
h, w = map(int, input().split())
s = []
for i in range(h):
  s.append(input())
  # print(s[i])

l = [[0 for _ in range(w)] for _ in range(h)]
r = [[0 for _ in range(w)] for _ in range(h)]
u = [[0 for _ in range(w)] for _ in range(h)]
d = [[0 for _ in range(w)] for _ in range(h)]

for i in range(h):
  for j in range(1, w):
    if not s[i][j] == '#' and s[i][j-1] == '.':
      l[i][j] = l[i][j-1] + 1

for i in range(h):
  for j in range(w-2, -1, -1):
    if not s[i][j] == '#' and s[i][j+1] == '.':
      r[i][j] = r[i][j+1] + 1

for j in range(w):
  for i in range(1, h):
    if not s[i][j] == '#' and s[i-1][j] == '.':
      u[i][j] = u[i-1][j] + 1

for j in range(w):
  for i in range(h-2, -1, -1):
    if not s[i][j] == '#' and s[i+1][j] == '.':
      d[i][j] = d[i+1][j] + 1

ret = 0
for i in range(h):
  for j in range(w):
    if not s[i][j] == '#':
      t = l[i][j] + r[i][j] + u[i][j] + d[i][j]
      if ret < t:
        ret = t

print(ret+1)
Buggy python submission (verdict: Runtime Error):
n, k = map(int, input().split())
v = list(map(int, input().split()))

def solve(L, R, D):
  # print((L, R, D))
  LL = v[:L] if L > 0 else []
  RR = v[-R:] if R > 0 else []
  targetList = LL + RR
  # print(targetList)
  targetList.sort()
  ret = 0
  newList = targetList.copy()
  for i in range(min(len(targetList), D)):
    if targetList[i] < 0:
      del newList[0]
  ret = sum(newList)
  # print((ret, newList))
  return ret

result = 0
for i in range(min(k+1, n+1)):
  for j in range(min(k+1, n+1)-i):
    t = solve(i, j, k-i-j)
    if t > result:
      result = t

print(result)

Fixed submission:
n, k = map(int, input().split())
v = list(map(int, input().split()))

def solve(L, R, D):
  # print((L, R, D))
  LL = v[:L] if L > 0 else []
  RR = v[-R:] if R > 0 else []
  targetList = LL + RR
  # print(targetList)
  targetList.sort()
  ret = 0
  newList = targetList[::]
  for i in range(min(len(targetList), D)):
    if targetList[i] < 0:
      del newList[0]
  ret = sum(newList)
  # print((ret, newList))
  return ret

result = 0
for i in range(min(k+1, n+1)):
  for j in range(min(k+1, n+1)-i):
    t = solve(i, j, k-i-j)
    if t > result:
      result = t

print(result)
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = input()

ret = n
for i in range(n+1):
  ss = '.' * (n-i) + '#' * i
  cnt = 0
  for j in range(n):
    if s[j] != ss[j]:
      cnt += 1
  if ret > cnt:
    ret = cnt
print(ret)


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

ss = '#' * n
ret = 0
for j in range(n):
  if s[j] != ss[j]:
    ret += 1

cnt = ret
for j in range(n):
  if s[j] == '.':
    cnt -= 1
  else:
    cnt += 1
  if cnt < ret:
    ret = cnt

print(ret)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
hp, n = map(int,input().split())

list = np.zeros((n,2),dtype=int)
for i in range(n):
    list[i][0], list[i][1] = map(int,input().split())

dp = np.full((n+1, hp+1), 100000000000000000,dtype=int)

dp[0][0] = 0
for i, lista in enumerate(dp):
    dp[i][0] = 0
    for j, value in enumerate(lista):
        if i == 0:
            continue
        if j < list[i-1][0]:
            dp[i][j] = min(list[i-1][1], dp[i-1][j])
        else:
            target = j - list[i-1][0]
            dp[i][j] = min((dp[i][target] + list[i-1][1]), dp[i-1][j])

print(int(dp[n][hp]))




Fixed submission:

hp, n = map(int,input().split())

list = [[0] * 2 for i in range(n)]
for i in range(n):
    list[i][0], list[i][1] = map(int,input().split())

dp = [[10000000000] * (hp+1) for i in range(n+1)]

dp[0][0] = 0
for i, lista in enumerate(dp):
    dp[i][0] = 0
    for j, value in enumerate(lista):
        if i == 0:
            continue
        if j < list[i-1][0]:
            dp[i][j] = min(list[i-1][1], dp[i-1][j])
        else:
            target = j - list[i-1][0]
            dp[i][j] = min((dp[i][target] + list[i-1][1]), dp[i-1][j])

print(int(dp[n][hp]))

Buggy python submission (verdict: Runtime Error):
import numpy as np
hp, n = map(int,input().split())

list = np.zeros((n,2))
for i in range(n):
    list[i][0], list[i][1] = map(int,input().split())

dp = np.full((n+1, hp+1), 100000000000000000)

dp[0][0] = 0
for i, lista in enumerate(dp):
    dp[i][0] = 0
    for j, value in enumerate(lista):
        if i == 0:
            continue
        if j < list[i-1][0]:
            dp[i][j] = min(list[i-1][1], dp[i-1][j])
        else:
            target = int(j - list[i-1][0])
            dp[i][j] = min((dp[i][target] + list[i-1][1]), dp[i-1][j])

print(dp[n][hp])




Fixed submission:

hp, n = map(int,input().split())

list = [[0] * 2 for i in range(n)]
for i in range(n):
    list[i][0], list[i][1] = map(int,input().split())

dp = [[10000000000] * (hp+1) for i in range(n+1)]

dp[0][0] = 0
for i, lista in enumerate(dp):
    dp[i][0] = 0
    for j, value in enumerate(lista):
        if i == 0:
            continue
        if j < list[i-1][0]:
            dp[i][j] = min(list[i-1][1], dp[i-1][j])
        else:
            target = j - list[i-1][0]
            dp[i][j] = min((dp[i][target] + list[i-1][1]), dp[i-1][j])

print(int(dp[n][hp]))
Buggy python submission (verdict: Runtime Error):
import sys,math
n=int(input())
a=list(map(int,input().split()))
numbers={}
flag=0
for i in range(n):
  if a[i] in numbers:
    numbers[a[i]]+=1
  else:
    numbers[a[i]]=1
while pointer in range(2,10**6+1):
  count=0
  pointer2=pointer
  while pointer2<10**6+1:
    if pointer2 in numbers:
      count+=numbers[pointer2]
    pointer2+=pointer
  if count>=2:
    flag=1
    break
if flag==0:
  print('pairwise coprime')
  sys.exit()
ans=a[0]
for i in range(1,n):
  ans=math.gcd(a[i],ans)
if ans==1:
  print('setwise coprime')
else:
  print('not coprime')


Fixed submission:
import sys,math
n=int(input())
a=list(map(int,input().split()))
sieve=[0]*(10**6+1)
numbers={}
flag=0
for i in range(n):
  if a[i] in numbers:
    numbers[a[i]]+=1
  else:
    numbers[a[i]]=1
pointer=2
while pointer<10**6+1:
  if sieve[pointer]==1:
    pointer+=1
    continue
  count=0
  pointer2=pointer
  while pointer2<10**6+1:
    if pointer2 in numbers:
      count+=numbers[pointer2]
    sieve[pointer2]=1
    pointer2+=pointer
  if count>=2:
    flag=1
    break
if flag==0:
  print('pairwise coprime')
  sys.exit()
ans=a[0]
for i in range(1,n):
  ans=math.gcd(a[i],ans)
if ans==1:
  print('setwise coprime')
else:
  print('not coprime')

Buggy python submission (verdict: Time Limit Exceeded):
import sys,math
n=int(input())
a=list(map(int,input().split()))
numbers={}
flag=0
for i in range(n):
  if a[i] in numbers:
    numbers[a[i]]+=1
  else:
    numbers[a[i]]=1
pointer=2
while pointer<10**6+1:
  count=0
  pointer2=pointer
  while pointer2<10**6+1:
    if pointer2 in numbers:
      count+=numbers[pointer2]
    pointer2+=pointer
  if count>=2:
    flag=1
    break
  pointer+=1
if flag==0:
  print('pairwise coprime')
  sys.exit()
ans=a[0]
for i in range(1,n):
  ans=math.gcd(a[i],ans)
if ans==1:
  print('setwise coprime')
else:
  print('not coprime')


Fixed submission:
import sys,math
n=int(input())
a=list(map(int,input().split()))
sieve=[0]*(10**6+1)
numbers={}
flag=0
for i in range(n):
  if a[i] in numbers:
    numbers[a[i]]+=1
  else:
    numbers[a[i]]=1
pointer=2
while pointer<10**6+1:
  if sieve[pointer]==1:
    pointer+=1
    continue
  count=0
  pointer2=pointer
  while pointer2<10**6+1:
    if pointer2 in numbers:
      count+=numbers[pointer2]
    sieve[pointer2]=1
    pointer2+=pointer
  if count>=2:
    flag=1
    break
if flag==0:
  print('pairwise coprime')
  sys.exit()
ans=a[0]
for i in range(1,n):
  ans=math.gcd(a[i],ans)
if ans==1:
  print('setwise coprime')
else:
  print('not coprime')
Buggy python submission (verdict: Time Limit Exceeded):
import os,io
input=io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
r,c,k=map(int,input().split())
dp = [[[0,0,0,0] for y in range(c)] for z in range(r)] 
m=[]
for i in range(r):
  m.append([])
  for j in range(c):
    m[i].append(0)
for i in range(k):
  ri,ci,v=map(int,input().split())
  m[ri-1][ci-1]=v
dp[0][0][0]=0
dp[0][0][1]=m[0][0]
dp[0][0][2]=m[0][0]
dp[0][0][3]=m[0][0]
for i in range(r):
  for j in range(c):
    if j+1<c:
      dp[i][j+1][0]=max(dp[i][j+1][0],dp[i][j][0])
      dp[i][j+1][1]=max(dp[i][j][1],max(dp[i][j+1][1],dp[i][j][0]+m[i][j+1]))
      dp[i][j+1][2]=max(dp[i][j][2],max(dp[i][j+1][2],dp[i][j][1]+m[i][j+1]))
      dp[i][j+1][3]=max(dp[i][j][3],max(dp[i][j+1][3],dp[i][j][2]+m[i][j+1]))
    if i+1<r:
      dp[i+1][j][0]=dp[i][j][3]
      dp[i+1][j][1]=dp[i][j][3]+m[i+1][j]
      dp[i+1][j][2]=dp[i][j][3]+m[i+1][j]
      dp[i+1][j][3]=dp[i][j][3]+m[i+1][j]
print(dp[r-1][c-1][3])
    

Fixed submission:
import os,io
import sys
input=io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
r,c,k=map(int,input().split())
dp = [[[0 for y in range(c)] for z in range(r)] for P in range(4)]
m=[]
for i in range(r):
  m.append([])
  for j in range(c):
    m[i].append(0)
for i in range(k):
  ri,ci,v=map(int,input().split())
  m[ri-1][ci-1]=v
dp[0][0][0]=0
dp[1][0][0]=m[0][0]
dp[2][0][0]=m[0][0]
dp[3][0][0]=m[0][0]
for i in range(r):
  for j in range(c):
    if j+1<c:
      dp[0][i][j+1]=max(dp[0][i][j+1],dp[0][i][j])
      dp[1][i][j+1]=max(dp[1][i][j],max(dp[1][i][j+1],dp[0][i][j]+m[i][j+1]))
      dp[2][i][j+1]=max(dp[2][i][j],max(dp[2][i][j+1],dp[1][i][j]+m[i][j+1]))
      dp[3][i][j+1]=max(dp[3][i][j],max(dp[3][i][j+1],dp[2][i][j]+m[i][j+1]))
    if i+1<r:
      dp[0][i+1][j]=dp[3][i][j]
      dp[1][i+1][j]=dp[3][i][j]+m[i+1][j]
      dp[2][i+1][j]=dp[3][i][j]+m[i+1][j]
      dp[3][i+1][j]=dp[3][i][j]+m[i+1][j]
print(dp[3][r-1][c-1])
Buggy python submission (verdict: Runtime Error):
import math
n,k=map(int,input().split())
a=list(map(int,input().split()))
l=0
r=10**9+2
while math.ceil(l)<math.floor(r):
  tr=(l+r)/2
  temp=0
  for i in range(n):
    temp+=math.ceil(a[i]/tr)-1
  if temp<=k:
    r=tr
  else:
    l=tr
tr=math.ceil(l)
temp=0
for i in range(n):
  temp+=a[i]//tr
  if a[i]%tr==0:
    temp-=1
if temp<=k:
  print(tr)
else:
  print(tr+1)

Fixed submission:
import math,sys
n,k=map(int,input().split())
a=list(map(int,input().split()))
l=0
r=10**9+2
while math.ceil(l)<math.floor(r):
  tr=(l+r)/2
  temp=0
  for i in range(n):
    temp+=math.ceil(a[i]/tr)-1
  if temp<=k:
    r=tr
  else:
    l=tr
tr=math.ceil(l)
if tr==0:
  print(1)
  sys.exit()
temp=0
for i in range(n):
  temp+=a[i]//tr
  if a[i]%tr==0:
    temp-=1
if temp<=k:
  print(tr)
else:
  print(tr+1)
Buggy python submission (verdict: Runtime Error):
def prime_factors(n):
    i = 2
    factors = []
    while i * i <= n:
        if n % i:
            i += 1
        else:
            a=n//i 
            if (a+1)*i<=n:
              a+=1
            n=a
            factors.append(i)
    if n > 1:
        factors.append(n)
    return factors
N=int(input())
a=prime_factors(N)
current=0
index=0
anslist=[]
for i in a:
  if i!=current:
    current=i
    anslist.append(1)
  else:
    anslist[-1]+=1
ans=0
for i in anslist:
  k=1
  while (k*(k+1))<=2*i:
    k+=1
  k-=1
  ans+=k
print(ans)


Fixed submission:
a,b=map(int,input().split())
print(a*b)
Buggy python submission (verdict: Runtime Error):
n=int(input())
a=list(map(int,input().split()))
zerocounter=0
for i in range(n):
  if a[i]==0:
    zerocounter=1
    break
if zerocounter==1:
  print(0)
else:
  ans=1
  for i in range(n):
    ans=ans*a[i]
    if ans>10**18:
      ans=-1
      break
  print(ans)


Fixed submission:
import math
a,b=map(str,input().split())
a=int(a)
d=int(b[0])*100+int(b[2])*10+int(b[3])
c=(a*d)//100
if (c+1)*100<=(a*d):
  c+=1
print(c)
Buggy python submission (verdict: Time Limit Exceeded):
def convert(s): 
  
    # initialization of string to "" 
    new = "" 
  
    # traverse in the string  
    for x in s: 
        new += x  
  
    # return string  
    return new 
s=input()
n=len(s)
a=[]
for i in range(n):
  if s[i]=='P':
    a.append('P')
  else:
    a.append('D')
print(convert(a))


Fixed submission:
s=input()
print(s.replace('?','D'))

Buggy python submission (verdict: Time Limit Exceeded):
def convert(s): 
  
    # initialization of string to "" 
    new = "" 
  
    # traverse in the string  
    for x in s: 
        new += x  
  
    # return string  
    return new 
s=input()
n=len(s)
a=[]
for i in range(n):
  if s[i]=='P':
    a.append('P')
  else:
    a.append('D')
print(convert(a))

Fixed submission:
s=input()
print(s.replace('?','D'))
Buggy python submission (verdict: Time Limit Exceeded):
n=int(input())
a=list(map(int,input().split()))
k=0
b=[]
for i in range(0,n+1):
  k+=a[i]*pow(2,n-i)
  b.append(k)
if k>pow(2,n):
  print(-1)
else:
  current=0
  ans=0
  for i in range(0,n+1):
    current+=a[n-i]
    if i==n:
      ans+=1
    else:
      s=(pow(2,n)-b[n-i-1])//pow(2,i)
      if (s+1)*pow(2,i)<=pow(2,n)-b[n-i-1]:
        s+=1
      current=min(current,s)
      current=min(current,pow(2,n-i))
      ans+=current
  print(ans)

Fixed submission:
n=int(input())
a=list(map(int,input().split()))
k=0
N=sum(a)
failflag=0
node=1
min1=[]
min2=[]
for i in range(0,n+1):
  node=node*2-a[i]
  if i==0:
    node=1-a[0]
  node=min(node,N)
  min1.append(node+a[i])
  if node<0:
    failflag=1
if failflag==1:
  print(-1)
else:
  current=0
  for i in range(0,n+1):
    current+=a[n-i]
    min2.append(current)
  min2.reverse()
  ans=0
  for i in range(0,n+1):
    ans+=min(min1[i],min2[i])
  print(ans)