Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
from fraction import gcd
from functools import reduce

def lcm_base(x, y):
    return (x * y) // gcd(x, y)

def lcm(*numbers):
    return reduce(lcm_base, numbers, 1)

def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)

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

ans = lcm_list(T)
print(ans)

Fixed submission:
from fractions import gcd
from functools import reduce

def lcm_base(x, y):
    return (x * y) // gcd(x, y)

def lcm(*numbers):
    return reduce(lcm_base, numbers, 1)

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

ans = lcm(*T)
print(ans)

Buggy python submission (verdict: Runtime Error):
import math
from functools import reduce

def lcm_base(x, y):
    return (x * y) // math.gcd(x, y)

def lcm(*numbers):
    return reduce(lcm_base, numbers, 1)

def lcm_list(numbers):
    return reduce(lcm_base, numbers, 1)

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

ans = lcm_list(T)
print(ans)

Fixed submission:
from fractions import gcd
from functools import reduce

def lcm_base(x, y):
    return (x * y) // gcd(x, y)

def lcm(*numbers):
    return reduce(lcm_base, numbers, 1)

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

ans = lcm(*T)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
a = [int(input()) for _ in range(N)]

pos = 1
route = []
success = False
while 1:
    route.append(pos)
    pos = a[pos - 1]
    if pos == 2:
        print(len(route))
        break
        
    if pos in route:
        print(-1)
        break

Fixed submission:
N = int(input())
a = [int(input()) for _ in range(N)]

pos = 1
route = []
success = False
"""
while 1:
    route.append(pos)
    pos = a[pos - 1]
    if pos == 2:
        print(len(route))
        break
        
    if pos in route:
        print(-1)
        break
"""
for i in range(N):
    pos = a[pos - 1]
    if pos == 2:
        success = True
        print(i+1)
        break
if not(success):
    print(-1)
Buggy python submission (verdict: Runtime Error):
import numpy as np
N = int(input())
A = list(map(int, input().split()))

a_ = A[1]
d_ = np.sign(A[1] - A[0])
turn_p = 0
for a in A[2:]:
    d = np.sign(a - a_)
    #print(a, d, d_, turn_p)
    if d != 0:
        if d_ == 0:
            d_ = d
        elif d_ != d:
            turn_p += 1
            d_ = 0
    a_ = a 

print(turn_p+1)
    



Fixed submission:
import numpy as np
N = int(input())
A = list(map(int, input().split()))

turn_p = 0
if N > 2:
    a_ = A[1]
    d_ = np.sign(A[1] - A[0])
    for a in A[2:]:
        d = np.sign(a - a_)
        #print(a, d, d_, turn_p)
        if d != 0:
            if d_ == 0:
                d_ = d
            elif d_ != d:
                turn_p += 1
                d_ = 0
        a_ = a 

print(turn_p+1)
Buggy python submission (verdict: Runtime Error):
import fractions

def lcm(a, b):
    return a * b / fractions.gcd(a, b)

N, M = map(int, input().split())
S = input()
T = input()

d_N = {}

for n in range(N):
    d = fractions.gcd(n, N)
    d_N[(n // d, N // d)] = n

for m in range(M):
    d = fractions.gcd(m, M)
    k = (m // d, M // d)
    if k in d_N:
        if S[d_N[k]] != T[m]:
            print(-1)
            exit()

L = int(lcm(N, M))
print(L)

Fixed submission:
import math

N = int(input())
A, B = [], []
for _ in range(N):
    a, b = map(int, input().split())
    A.append(a)
    B.append(b)


ans = 0

for a, b in zip(A[::-1], B[::-1]):
    a += ans
    ans += math.ceil(a / b) * b - a

print(ans)
Buggy python submission (verdict: Runtime Error):
N = int(input())
T = list(map(int, input().split()))
M = int(input())
P, X = [], []
for _ in range(M):
    p, x = map(int, input().split())
    P.append(p)
    X.append(x)

t_sum = sum(T)

for i in range(M):
    print(t_sum - T[P[i]-1] + X[P[i] - 1])

Fixed submission:
N = int(input())
T = list(map(int, input().split()))
M = int(input())
P, X = [], []
for _ in range(M):
    p, x = map(int, input().split())
    P.append(p)
    X.append(x)

t_sum = sum(T)

for i in range(M):
    print(t_sum - T[P[i]-1] + X[i])
Buggy python submission (verdict: Runtime Error):
N, A, B = a,b=map(int, input().split())
S = input()

qualified = 0
qualified_foreign = 0.
for s in S:
    if s == 'c':
        print('No')
    elif s == 'a':
        if qualified < A + B:
            print('Yes')
            qualified += 1
        else:
            print('No')
    else:
        if (qualified < A + B) & (qualified_foreign < B):
            print('Yes')
            qualified += 1
            qualified_foreign += 1
        else:
            print('No')
  

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

qualified = 0
qualified_foreign = 0.
for s in S:
    if s == 'c':
        print('No')
    elif s == 'a':
        if qualified < A + B:
            print('Yes')
            qualified += 1
        else:
            print('No')
    else:
        if (qualified < A + B) & (qualified_foreign < B):
            print('Yes')
            qualified += 1
            qualified_foreign += 1
        else:
            print('No')
Buggy python submission (verdict: Runtime Error):
import sys
n = int(input())
a = list(map(int,input().split()))
a.sort()
ans = 1
if a[0] == 0:
  print(0)
else:
  while a[0] == 1:
    a.remove(1)
  for i in range(len(a)):
    ans *= a[i]
    if ans > 10**18:
      print("-1")
      sys.exit()
    elif i == len(a)-1:
      print(ans)

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
a.sort()
ans = 1
if a[0] == 0:
  print(0)
else:
  for i in range(len(a)):
    ans *= a[i]
    if ans > 10**18:
      print("-1")
      exit()
    elif i == len(a)-1:
      print(ans)

Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int,input().split()))
a.sort()
ans = 1
if a[0] == 0:
  print(0)
else:
  while a[0] == 1:
    a.remove(1)
  for i in range(len(a)):
    ans *= a[i]
    if ans > 10**18:
      print("-1")
      exit()
    elif i == len(a)-1:
      print(ans)

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
a.sort()
ans = 1
if a[0] == 0:
  print(0)
else:
  for i in range(len(a)):
    ans *= a[i]
    if ans > 10**18:
      print("-1")
      exit()
    elif i == len(a)-1:
      print(ans)

Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int,input().split()))
a.sort()
ans = 1
if a[0] == 0:
  print(0)
else:
  while a[0] == 1:
    a.remove(1)
  for i in range(len(a)):
    ans *= a[i]
    if ans > 10**18:
      print(-1)
      exit()
    elif i == len(a)-1:
      print(ans)

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
a.sort()
ans = 1
if a[0] == 0:
  print(0)
else:
  for i in range(len(a)):
    ans *= a[i]
    if ans > 10**18:
      print("-1")
      exit()
    elif i == len(a)-1:
      print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A_ls = list(map(int, input().split()))
mul = 1
 
for i in A_ls:
  mul *= i
 

if mul > 10**18:
  print(-1)
else:
  print(mul)

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
a.sort()
ans = 1
if a[0] == 0:
  print(0)
else:
  for i in range(len(a)):
    ans *= a[i]
    if ans > 10**18:
      print("-1")
      exit()
    elif i == len(a)-1:
      print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A_ls = list(map(int, input().split()))
mul = 1

for i in range(N):
  mul *= A_ls[i]
if mul > 10**18:
  print(-1)
else:
  print(mul)
    


Fixed submission:
n = int(input())
a = list(map(int,input().split()))
a.sort()
ans = 1
if a[0] == 0:
  print(0)
else:
  for i in range(len(a)):
    ans *= a[i]
    if ans > 10**18:
      print("-1")
      exit()
    elif i == len(a)-1:
      print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A_ls = list(map(int, input().split()))
mul = 1

for i in range(N):
  mul *= A_ls[i]

if mul > 10**18:
  print(-1)
else:
  print(mul)

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
a.sort()
ans = 1
if a[0] == 0:
  print(0)
else:
  for i in range(len(a)):
    ans *= a[i]
    if ans > 10**18:
      print("-1")
      exit()
    elif i == len(a)-1:
      print(ans)
Buggy python submission (verdict: Runtime Error):
print([1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51][int(input())-1]

Fixed submission:
print([1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4, 1, 51][int(input())-1])
Buggy python submission (verdict: Runtime Error):
s = input()
if len(s)%2 == 0:
  for i in len(s)//2:
    if s[2*i] != "h" and s[2*i+1] != "i":
      print("No")
      exit()
  print("Yes")
else:
  print("No")

Fixed submission:
s = input()
if len(s)%2 == 0:
  for i in range(len(s)//2):
    if s[2*i] != "h" or s[2*i+1] != "i":
      print("No")
      exit()
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int,input().split()))
ans = [0]*n
for i in range(n):
  ans[a.pop(i)-1] = i+1
for i in range(n):
  print(ans,end=" ")

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
ans = [0]*n
for i in range(n):
  ans[a[i]-1] = i+1
for i in range(n):
  print(ans[i],end=" ")

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = list(map(int,input().split()))
for i in range(n):
  print(a.index(i+1)+1,end=" ")

Fixed submission:
n = int(input())
a = list(map(int,input().split()))
ans = [0]*n
for i in range(n):
  ans[a[i]-1] = i+1
for i in range(n):
  print(ans[i],end=" ")
Buggy python submission (verdict: Runtime Error):
x,a = map(int,input().split())
pritn(0 if x < a else 10)

Fixed submission:
x,a = map(int,input().split())
print(0 if x < a else 10)
Buggy python submission (verdict: Runtime Error):
b = input()
if b = "A":
  b = "T"
elif b = "T":
  b = "A"
elif b = "C":
  b = "G"
elif b = "G":
  b = "C"
print(b)

Fixed submission:
b = input()
if b == "A":
  b = "T"
elif b == "T":
  b = "A"
elif b == "C":
  b = "G"
elif b == "G":
  b = "C"
print(b)
Buggy python submission (verdict: Runtime Error):
s = map(str,input().split())
if int(s[5]) == 1:
  print("TBD")
elif int(s[6]) <= 4:
  print("Heisei")
else:
  print("TBD")

Fixed submission:
s = input()
if int(s[5]) == 1:
  print("TBD")
elif int(s[6]) <= 4:
  print("Heisei")
else:
  print("TBD")
Buggy python submission (verdict: Runtime Error):
d = int(input())
if d = 25:
  print("Christmas")
elif d = 24:
  print("Christmas Eve")
elif d = 23:
  print("Christmas Eve Eve")
else:
  print("Christmas Eve Eve Eve")

Fixed submission:
d = input()
if d == "25":
  print("Christmas")
elif d == "24":
  print("Christmas Eve")
elif d == "23":
  print("Christmas Eve Eve")
else:
  print("Christmas Eve Eve Eve")
Buggy python submission (verdict: Runtime Error):
print("YES" if input() == "3" or input() == "5" or input() == "7" else "NO") 

Fixed submission:
n = input()
print("YES" if n == "3" or n == "5" or n == "7" else "NO")
Buggy python submission (verdict: Time Limit Exceeded):
import math
n,m = map(int,input().split())
s = input()
t = input()
lcm = n*m/math.gcd(n,m)
nx = []
for i in range(n):
  nx.append(i*(lcm//n)+1)
for j in range(m):
  if j*(lcm//m)+1 in nx:
    if t[j] != s[j*n//m]:
      print(-1)
      exit()
  elif j == m-1:
    print(int(lcm))

Fixed submission:
import math
n,m = map(int,input().split())
s = input()
t = input()
lcm = int(n*m/math.gcd(n,m))
if (n-1)//(lcm//m) == 0:
  if s[0] == t[0]:
    print(lcm)
  else:
    print(-1)
else:
  for i in range((n-1)//(lcm//m)):
    if s[i*(lcm//m)] != t[i*(lcm//n)]:
      print(-1)
      exit()
    elif i == (n-1)//(lcm//m)-1:
      print(lcm)
Buggy python submission (verdict: Runtime Error):
N = int(input())
a = list(map(int,input().split()))
l = sorted(a)
count = 0
for i in range(3):
    if i % 2 == 0:
        count += l[i]
    else:
        count -= l[i]
print(count)

Fixed submission:
N = int(input())
a = list(map(int,input().split()))
l = sorted(a, reverse = True)
count = 0
for i in range(N):
    if i % 2 == 0:
        count += l[i]
    else:
        count -= l[i]
print(count)

Buggy python submission (verdict: Runtime Error):
input()
A = list(map(int,input().split()))
A = A.sort(reverse=True)
Alice = sum(A[1::2])
Bob = sum(A[::2])
print(Alice-Bob)

Fixed submission:
N = int(input())
a = list(map(int,input().split()))
l = sorted(a, reverse = True)
count = 0
for i in range(N):
    if i % 2 == 0:
        count += l[i]
    else:
        count -= l[i]
print(count)
Buggy python submission (verdict: Runtime Error):
x,y = map(int,input().split())
if x%y == 0
  print(-1)
else:
  print(x)
  

Fixed submission:
x,y = map(int,input().split())
if x%y == 0:
  print(-1)
else:
  print(x)

Buggy python submission (verdict: Time Limit Exceeded):
x,y = map(int,input().split())
i = 1
if x == y:
  print(-1)
else:
  while True:
    if (i*x)%y != 0:
      print(i*x)
      exit()
    else:
      i += 1

Fixed submission:
x,y = map(int,input().split())
if x%y == 0:
  print(-1)
else:
  print(x)

Buggy python submission (verdict: Time Limit Exceeded):
x,y = map(int,input().split())
i = 1
if x == y:
  print(-1)
else:
  while True:
    if (i*x)%y != 0:
      print(i*x)
      exit()
    else:
      i += 1

Fixed submission:
x,y = map(int,input().split())
if x%y == 0:
  print(-1)
else:
  print(x)

Buggy python submission (verdict: Time Limit Exceeded):
x,y = map(int,input().split())
i = 1
if x == y:
  print(-1)
else:
  while True:
    if (i*x)%y != 0:
      print(i*x)
    else:
      i += 1

Fixed submission:
x,y = map(int,input().split())
if x%y == 0:
  print(-1)
else:
  print(x)

Buggy python submission (verdict: Time Limit Exceeded):
x,y = map(int,input().split())
i = 1
if x == y:
  print(-1)
else:
  while True:
    if i%x == 0 and y != 0:
      print(i)
      exit()
    else:
      i += 1

Fixed submission:
x,y = map(int,input().split())
if x%y == 0:
  print(-1)
else:
  print(x)

Buggy python submission (verdict: Time Limit Exceeded):
x,y = map(int,input().split())
i = 1
if x == y:
  print(-1)
else:
  while True:
    if i%x == 0 and y != 0:
      print(i)
    else:
      i += 1

Fixed submission:
x,y = map(int,input().split())
if x%y == 0:
  print(-1)
else:
  print(x)
Buggy python submission (verdict: Runtime Error):
A,B,C,X = int(input()) for i in range(4)
print(sum(500*a+100*b+50*c == X for a in range(A+1) for b in range(B+1) for c in range(C+1)))

Fixed submission:
A, B, C, X = [int(input()) for i in range(4)]
print(sum(500*a+100*b+50*c == X for a in range(A+1) for b in range(B+1) for c in range(C+1)))
Buggy python submission (verdict: Runtime Error):
a,b = map(int,input().split())
print("Even" if a * b % 2 == 0:"Odd");

Fixed submission:
a,b = map(int,input().split())
if a*b % 2 == 0:
    print('Even')
else:
    print('Odd')

Buggy python submission (verdict: Runtime Error):
a,b = int(input().split())
if a*b % 2 == 0:
    print('Even')
else print('Odd'):

Fixed submission:
a,b = map(int,input().split())
if a*b % 2 == 0:
    print('Even')
else:
    print('Odd')
Buggy python submission (verdict: Runtime Error):
N = int(input())
s = set(for i in range(N+1): int(input()))
print(len(s))


Fixed submission:
N = int(input())
s = set(int(input()) for i in range(N))
print(len(s))
Buggy python submission (verdict: Time Limit Exceeded):
input()
A = list(map(int,input().split()))
count = 0
while all(a % 2 == 0 for a in A):
    count += 1
else: print(count)

Fixed submission:
input()
A = list(map(int, input().split()))
count = 0
while all(a % 2 == 0 for a in A):
    A = [a/2 for a in A]
    count += 1
print(count)
Buggy python submission (verdict: Runtime Error):
h,w = map(int,input().split())
s = [list(map(str,input())) for _ in range(h)]
for i in range(h):
  for j in range(w):
    if s[i][j] == ".":
      if i == 0 and j == 0:
        s[i][j] = str([s[0][1],s[1][0],s[1][1]].count("#"))
      elif i == 0 and j == w-1:
        s[i][j] = str([s[i][j-1],s[i+1][j-1],s[i+1][j]].count("#"))
      elif i == h-1 and j == 0:
        s[i][j] = str([s[i-1][0],s[i-1][1],s[i][1]].count("#"))
      elif i == h-1 and j == w-1:
        s[i][j] = str([s[i-1][j-1],s[i-1][j],s[i][j-1]].count("#"))
      elif i == 0:
        s[i][j] = str([s[i][j-1],s[i][j+1],s[i+1][j-1],s[i+1][j],s[i+1][j+1]].count("#"))
      elif i == h-1:
        s[i][j] = str([s[i][j-1],s[i][j+1],s[i-1][j-1],s[i-1][j],s[i-1][j+1]].count("#"))
      elif j == 0:
        s[i][j] = str([s[i-1][j],s[i+1][j],s[i-1][j+1],s[i][j+1],s[i+1][j+1]].count("#"))
      elif j == w-1:
        s[i][j] = str([s[i-1][j],s[i+1][j],s[i-1][j-1],s[i][j-1],s[i+1][j-1]].count("#"))
      else:
        s[i][j] = str([s[i-1][j-1],s[i-1][j],s[i-1][j+1],s[i][j-1],s[i][j+1],s[i+1][j-1],s[i+1][j],s[i+1][j+1]].count("#"))

for i in range(h):
  print("".join(s[i]))

Fixed submission:
h,w = map(int,input().split())
s = [list(input()) for _ in range(h)]
bomb_count = 0
for i in range(h):
  for j in range(w):
    if s[i][j] == "#":
      continue
    else:
      for k in range(3):
        for l in range(3):
          a = i-1+k
          b = j-1+l
          if a < 0:
            continue
          elif a > h-1:
            continue
          if b < 0:
            continue
          elif b > w-1:
            continue
          if s[a][b] == "#":
            bomb_count += 1
      s[i][j] = str(bomb_count)
      bomb_count = 0
for i in range(h):
  print("".join(s[i]))
Buggy python submission (verdict: Runtime Error):
s = input()
for i in range(1,len(s)//2):
  if s[:(n-2*i)//2] == s[(n-2*i)//2:n-2*i]:
    print(n-2*i)
    exit()

Fixed submission:
s = input()
n = len(s)
for i in range(1,len(s)//2):
  if s[:(n-2*i)//2] == s[(n-2*i)//2:n-2*i]:
    print(n-2*i)
    exit()
Buggy python submission (verdict: Runtime Error):
a,b = map(int,input())
print(a+b if a+b < 10 else "error")

Fixed submission:
a,b = map(int,input().split())
print(a+b if a+b < 10 else "error")
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
pow = 1
for i in range(n):
  pow *= i+1
print(pow%(10**9+7))

Fixed submission:
n = int(input())
pow = 1
for i in range(n):
  pow *= i+1
  pow = pow%(10**9+7)
print(pow)
Buggy python submission (verdict: Runtime Error):
a, b, c = map(int,input().split())
if a+b=c or b+c=a or c+a=b:
  print(Yes)
else:
  print(No)

Fixed submission:
a, b, c = map(int,input().split())
if a+b==c or b+c==a or c+a==b:
  print("Yes")
else:
  print("No")
Buggy python submission (verdict: Runtime Error):
a,b = [int(input()) for _ in range(2)]
print(a*b)

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

Fixed submission:
n = int(input())
a = [int(i) for i in input().split()]
p = 1
for i in a: 
    if i==0:
        print(0)
        exit(0)
for i in a:
    p*=i
    if p>10**18:
        p=-1
        break
print(p)

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
a = [int(i) for i in input().split()]
p = 1
for i in a:
  p*=i
if p>10**18:
  print(-1)
else:
  print(p)

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

Fixed submission:
from decimal import Decimal as dec
a,b = map(dec,input().split())
print(int(a*b))
Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
a=list(map(int,input().split()))
dp=[0]*n 
for i in range(1,n):
    if i==1:
        dp[i]=abs(a[i]-a[i-1]) 
    else:
        dp[i]=dp[i-1]+abs(a[i]-a[i-1])
        for j in range(2,k+1):
            if j<=i:
                dp[i]=min(dp[i],dp[i-j]+abs(a[i]-a[i-j]))
            else:
                break
print(dp[n-1])        

Fixed submission:
n,k=map(int,input().split())
a=list(map(int,input().split()))
dp=[0]*n 
for i in range(1,n):
    if i==1:
        dp[i]=abs(a[i]-a[i-1]) 
    else:
        dp[i]=dp[i-1]+abs(a[i]-a[i-1])
        for j in range(2,k+1):
            if j<=i:
                dp[i]=min(dp[i],dp[i-j]+abs(a[i]-a[i-j]))
            else:
                break
print(dp[n-1])

Buggy python submission (verdict: Time Limit Exceeded):
n,k=map(int,input().split())
a=list(map(int,input().split()))
dp=[0]*n 
for i in range(1,n):
    if i==1:
        dp[i]=abs(a[i]-a[i-1]) 
    else:
        dp[i]=dp[i-1]+abs(a[i]-a[i-1])
        for j in range(2,k+1):
            if j<=i:
                dp[i]=min(dp[i],dp[i-j]+abs(a[i]-a[i-j]))    
print(dp[n-1])        

Fixed submission:
n,k=map(int,input().split())
a=list(map(int,input().split()))
dp=[0]*n 
for i in range(1,n):
    if i==1:
        dp[i]=abs(a[i]-a[i-1]) 
    else:
        dp[i]=dp[i-1]+abs(a[i]-a[i-1])
        for j in range(2,k+1):
            if j<=i:
                dp[i]=min(dp[i],dp[i-j]+abs(a[i]-a[i-j]))
            else:
                break
print(dp[n-1])
Buggy python submission (verdict: Runtime Error):
N, X, M = map(int, input().split())
A = [X]

for i in range(M-1):
    z = A[i]**2 % M
    if z not in A:
        A.append(z)
    else:
        break

idx = A.index(z)

before = A[:idx]
cy_sum = sum(A[idx:])
cy_len = len(A[idx:])
cy_cnt = (N-len(before)) // cy_len
mod = A[idx:idx + N - len(before)-cy_len*cy_cnt]

if cy_cnt == 0:
    print(sum(A)+mod)
else:
    print(sum(before) + cy_sum*cy_cnt + sum(mod))


Fixed submission:
N,X,M=map(int,input().split())
a = X
hist = [a]
indices = [-1]*M
indices[a] = 0
flag=0
for i in range(1,min(10**6,N)):
  a = a**2 % M
  if indices[a] != -1:
    idx = indices[a]
    flag=1
    break
  hist.append(a)
  indices[a] = i
  
if flag==0:
  print(sum(hist))
  exit()
  
cycle = hist[idx:]
margin = hist[:idx]
q,r = divmod((N-len(margin)),len(cycle))
print(sum(margin)+sum(cycle)*q+sum(cycle[:r]))
Buggy python submission (verdict: Runtime Error):
N=int(input())
A=list(map(int,input().split()))

ans=sum(A)
s=N+1
j=s

if A==sorted(A):
    print(0)
    exit()

for i in range(N//2):
    x=max(A[:s])
    s=A.index(x)
    A[s:j]=[x]*len(A[s:j])
    j=s
    if  A==sorted(A):
        break

print(sum(A)-ans)

Fixed submission:
N,X,T=map(int,input().split())
if N%X==0:
    ans=T*(N//X)
else:
    ans=T*((N//X)+1)
print(ans)