Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
from scipy.sparse.linalg import dsolve
from scipy import sparse
N=int(input())
a=list(map(int, input().split()))
for i in range(N):
  a[i]=a[i]*2
X=[[0 for j in range(N)] for i in range(N)]
for i in range(N-1):
    X[i][i]=1
    X[i][i+1]=1
X[N-1][0]=1
X[N-1][N-1]=1
a=sparse.csr_matrix(a)
X=sparse.csr_matrix(X)
b=dsolve.spsolve(X, a)
for i in range(N):
  print(int(b[i]), end=" ")
    

Fixed submission:
N=int(input())
a=list(map(int, input().split()))
for i in range(N):
    a[i]=a[i]*2
b=[0 for i in range(N)]
sum1=0
for i in range(N-1):
    if i%2==0:
        sum1+=a[i]
    else:
        sum1+=a[i]*(-1)
ans=(sum1+a[N-1])/2
b[0]=ans
for i in range(N-1):
    b[i+1]=a[i]-b[i]
for i in range(N):
    print(int(b[i]), end=" ")

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
from scipy.sparse.linalg import dsolve
N=int(input())
a=list(map(int, input().split()))
for i in range(N):
  a[i]=a[i]*2
X=[[0 for j in range(N)] for i in range(N)]
for i in range(N-1):
    X[i][i]=1
    X[i][i+1]=1
X[N-1][0]=1
X[N-1][N-1]=1
a=np.array(a)
X=np.array(X)
b= dsolve.spsolve(X, a, use_umfpack=True)
for i in range(N):
  print(int(b[i]), end=" ")
    

Fixed submission:
N=int(input())
a=list(map(int, input().split()))
for i in range(N):
    a[i]=a[i]*2
b=[0 for i in range(N)]
sum1=0
for i in range(N-1):
    if i%2==0:
        sum1+=a[i]
    else:
        sum1+=a[i]*(-1)
ans=(sum1+a[N-1])/2
b[0]=ans
for i in range(N-1):
    b[i+1]=a[i]-b[i]
for i in range(N):
    print(int(b[i]), end=" ")

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
from numpy.linalg import solve
N=int(input())
a=list(map(int, input().split()))
for i in range(N):
  a[i]=a[i]*2
X=[[0 for j in range(N)] for i in range(N)]
for i in range(N-1):
    X[i][i]=1
    X[i][i+1]=1
X[N-1][0]=1
X[N-1][N-1]=1
a=np.array(a)
X=np.array(X)
b=solve(X,a)
for i in range(N):
  print(int(b[i]), end=" ")
    

Fixed submission:
N=int(input())
a=list(map(int, input().split()))
for i in range(N):
    a[i]=a[i]*2
b=[0 for i in range(N)]
sum1=0
for i in range(N-1):
    if i%2==0:
        sum1+=a[i]
    else:
        sum1+=a[i]*(-1)
ans=(sum1+a[N-1])/2
b[0]=ans
for i in range(N-1):
    b[i+1]=a[i]-b[i]
for i in range(N):
    print(int(b[i]), end=" ")
Buggy python submission (verdict: Runtime Error):
N, C = list(map(int, input().split()))
len_cal_list = [list(map(int, input().split())) for i in range(N)]

total_cal = 0
f_r = [0]
for l, c in len_cal_list:
    total_cal += c
    f_r.append(total_cal - l)

total_cal = 0
f_l = [0]
for l, c in len_cal_list[::-1]:
    total_cal += c
    f_l.append(total_cal - (C - l))


max_cal = 0
for i in range(N):
	tmp_cal_r = f_r[i] + max(max(f_l[:N-i+1]) - len_cal_list[i-1][0], 0)
	tmp_cal_l = f_l[i] + max(max(f_r[:N-i+1]) - (C - len_cal_list[-i][0]), 0)
	if max_cal <= max(tmp_cal_r, tmp_cal_l):
		max_cal = max(tmp_cal_r, tmp_cal_l)

print(max_cal)

Fixed submission:
S = input()
count = 0
for i in range(3):
	if S[i] == 'o':
		count += 1

print(700 + 100*count)
Buggy python submission (verdict: Runtime Error):
A, B, C = list(int, input().split())
if (A+B) >=C:
	print("Yes")
else:
	print("No")

Fixed submission:
A, B, C = map(int, input().split())
if (A+B) >=C:
	print("Yes")
else:
	print("No")
Buggy python submission (verdict: Time Limit Exceeded):
NK = list(map(int, input().split()))
N = NK[0]
K = NK[1]
count = 0


for k in range(K, N):
	for b in range(k+1, N+1):
		for i in range(0, N+1):
			a = i*b + k
			if a > N:
				break
			elif a != 0:
				count += 1

print(count)


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

answer = 0

if K == 0:
	answer = N*N
else:
	for b in range(K+1, N+1):
		add = N//b * max(b-K, 0) + max(N%b+1-K, 0)
		answer += add

print(answer)
Buggy python submission (verdict: Runtime Error):
H,W,D = list(map(int, input().split()))
X = [[0,0] for i in range(H*W+1)]

for i in range(1, H+1):
	A = list(map(int, input().split()))
	for idx, a in enumerate(A):
		X[a] = [i, idx+1]

Q = int(input())
L = []
R = []
S = [0]*(H*W+1)

for i in range(Q):
	l,r = list(map(int, input().split()))
	L.append(l)
	R.append(r)

for i in range(D+1, H*W+1):
	S[i] = S[i-D] + abs(X[i][0]-X[i-D][0])+abs(X[i][1]-X[i-D][1])

for i in range(Q):
	print(S[R[i]] - S[L[i]])


Fixed submission:
n = int(input())
out = int(n / 3)
print(out)

Buggy python submission (verdict: Runtime Error):
N = int(input())
num = [0,0,0,0,0]
answer = 0
for i in range(N):
	a = input()
	if a[0]=='M':
		num[0] += 1
	if a[0]=='A':
		num[1] += 1
	if a[0]=='R':
		num[2] += 1
	if a[0]=='C':
		num[3] += 1
	if a[0]=='H':
		num[4] += 1

for i in range(3):
  for j in range(i+1, 4):
	for k in range(j+1, 5):
		answer += num[i]*num[j]*num[k]

print(answer)

Fixed submission:
n = int(input())
out = int(n / 3)
print(out)
Buggy python submission (verdict: Runtime Error):
N = int(input())
num = [0,0,0,0,0]
for i in range(N):
  a = input()
  if a[0]=='M':
    num[0] += 1
  if a[0]=='A':
    num[1] += 1
  if a[0]=='R':
	num[2] += 1
  if a[0]=='C':
	num[3] += 1
  if a[0]=='H':
	num[4] += 1


num_1 = num[0]*num[1]*num[2]
num_2 = num[0]*num[1]*num[3]
num_3 = num[0]*num[1]*num[4]
num_4 = num[1]*num[2]*num[3]
num_5 = num[1]*num[2]*num[4]
num_6 = num[2]*num[3]*num[4]
num_7 = num[0]*num[2]*num[3]
num_8 = num[0]*num[2]*num[4]
num_9 = num[0]*num[3]*num[4]
num_10 = num[1]*num[3]*num[4]

answer = num_1 + num_2 + num_3 + num_4 + num_5 + num_6 + num_7 + num_8 + num_9 + num_10

print(answer)

Fixed submission:
N = int(input())
num = [0,0,0,0,0]
for i in range(N):
	a = input()
	if a[0]=='M':
		num[0] += 1
	if a[0]=='A':
		num[1] += 1
	if a[0]=='R':
		num[2] += 1
	if a[0]=='C':
		num[3] += 1
	if a[0]=='H':
		num[4] += 1


num_1 = num[0]*num[1]*num[2]
num_2 = num[0]*num[1]*num[3]
num_3 = num[0]*num[1]*num[4]
num_4 = num[1]*num[2]*num[3]
num_5 = num[1]*num[2]*num[4]
num_6 = num[2]*num[3]*num[4]
num_7 = num[0]*num[2]*num[3]
num_8 = num[0]*num[2]*num[4]
num_9 = num[0]*num[3]*num[4]
num_10 = num[1]*num[3]*num[4]

answer = num_1 + num_2 + num_3 + num_4 + num_5 + num_6 + num_7 + num_8 + num_9 + num_10

print(answer)
Buggy python submission (verdict: Time Limit Exceeded):
HWD = input().split()
H = int(HWD[0])
W = int(HWD[1])
D = int(HWD[2])

num_array = [[0 for i in range(W)] for j in range(H)]
for i in range(H):
	row = input().split()
	for j in range(W):
		num_array[i][j] = int(row[j])

q = int(input())
count_list = [0 for i in range(q)]

for k in range(q):
	LR = input().split()
	L = int(LR[0])
	R = int(LR[1])

	num_where = []
	for i in range(int((R - L)/D) + 1):
		current_num = L + D*i
		for i in range(H):
			for j in range(W):
				if num_array[i][j] == current_num:
					num_where.append([i, j])
					break
			else:
				continue
			break

	count = 0
	for i in range(int((R - L)/D)):
		count +=  abs(num_where[i][0] - num_where[i+1][0]) + abs(num_where[i][1] - num_where[i+1][1])
	count_list[k] = count

for i in range(q):
	print(count_list[i])


Fixed submission:
H,W,D = list(map(int, input().split()))
X = [[0,0] for i in range(H*W+1)]

for i in range(1, H+1):
	A = list(map(int, input().split()))
	for idx, a in enumerate(A):
		X[a] = [i, idx+1]

Q = int(input())
L = []
R = []
S = [0]*(H*W+1)

for i in range(Q):
	l,r = list(map(int, input().split()))
	L.append(l)
	R.append(r)

for i in range(D+1, H*W+1):
	S[i] = S[i-D] + abs(X[i][0]-X[i-D][0])+abs(X[i][1]-X[i-D][1])

for i in range(Q):
	print(S[R[i]] - S[L[i]])
Buggy python submission (verdict: Runtime Error):
D, G = map(int, input().split())
pc = [list(map(int, input().split())) for _ in range(D)]
sum_list = [(i+1)*100*pac[0] for i, pac in enumerate(pc)]
max_list = [(i+1)*100*pac[0]+pac[1] for i, pac in enumerate(pc)]
stoc = 0
shiyouzumi = []
ichian = 0
nian = 0
while 1:
    kouho1 = []
    kouho2 = []
    for i in range(D):
        if i in shiyouzumi:
            continue
        if G <= sum_list[i]:
            kouho1.append(i)
        if G <= max_list[i]:
            kouho2.append(i)
    if kouho1 != []:
        saikou = kouho1[-1]
        for i in range(pc[saikou][0]+1):
            if i*(saikou+1)*100 >= G :
                ichian = stoc+i
                break
    if kouho2 != []:
        mini = 1000
        for i in kouho2:
            if mini > pc[i][0]:
                mini = pc[i][0]
        nian = stoc+mini
    chiisai = min(ichian, nian)
    if chiisai != 0:
        print(chiisai)
        exit()
    kouritsu = 0
    kouritsu_i = -1
    for i, s in enumerate(max_list):
        if i in shiyouzumi:
            continue
        if s/pc[i][0] > kouritsu:
            kouritsu_i = i
            kouritsu = s/pc[i][0]
    stoc += pc[kouritsu_i][0]
    G -= max_list[kouritsu_i]
    shiyouzumi.append(kouritsu_i)

Fixed submission:
R = int(input())
if R < 1200:
  print('ABC')
elif R < 2800:
  print('ARC')
else:
  print('AGC')
Buggy python submission (verdict: Time Limit Exceeded):
def pow_o(x, y):
    if n == 0:
        return 1
    if n % 2 == 0:
        return pow_o(x ** 2, y // 2)
    else:
        return x * pow_o(x ** 2, y // 2)

n, m, d = map(int, input().split())
sum = 0
patt = (n-d)
if d != 0:
    patt = 2 * patt
totyu = n ** (m-2)
beau = totyu * (m-1)
print(patt * beau / (totyu * n * n))

Fixed submission:
n, m, d = map(int, input().split())
sum = 0
patt = n-d
if d != 0:
    patt = 2 * patt
print(patt * (m-1) / (n * n))

Buggy python submission (verdict: Time Limit Exceeded):
n, m, d = map(int, input().split())
sum = 0
patt = (n-d)
if d != 0:
    patt = 2 * patt
totyu = n ** (m-2)
beau = totyu * (m-1)
print(patt * beau / (totyu * n * n))

Fixed submission:
n, m, d = map(int, input().split())
sum = 0
patt = n-d
if d != 0:
    patt = 2 * patt
print(patt * (m-1) / (n * n))

Buggy python submission (verdict: Time Limit Exceeded):
n, m, d = map(int, input().split())
sum = 0
patt = (n-d)
if d != 0:
    patt = 2 * patt
beau = n ** (m-2) * (m-1)
print(patt * beau / (n**m))

Fixed submission:
n, m, d = map(int, input().split())
sum = 0
patt = n-d
if d != 0:
    patt = 2 * patt
print(patt * (m-1) / (n * n))
Buggy python submission (verdict: Runtime Error):
s = input()
z = int(input())
list = [chr(i) for i in range(97,97+26)]
d = []
for j in list:
  indexes = [i for i,x in enumerate(s) if x==j]
  if len(indexes)==0:
    continue
  for k in indexes:
    for l in range(len(s)-k):
      d.append(s[k:l+k+1])
      if len(s[k:l+k+1])==z:
        break
print(sorted(set(d))[z-1])

Fixed submission:
a,b,c,d = map(int, input().split())
if abs(a-c)<=d:
  print('Yes')
  exit()
if abs(b-a)<=d and abs(c-b)<=d:
  print('Yes')
  exit()
print('No')
Buggy python submission (verdict: Time Limit Exceeded):
s = input()
z = int(input())
list = [chr(i) for i in range(97,97+26)]
d = []
flag = 0
for j in list:
  indexes = [i for i,x in enumerate(s) if x==j]
  if len(indexes)==0:
    continue
  for k in indexes:
    for l in range(len(s)-k):
      d.append(s[k:l+k+1])
  if len(set(d))==z:
    break
print(sorted(set(d))[z-1])

Fixed submission:
s = input()
z = int(input())
list = [chr(i) for i in range(97,97+26)]
d = []
for j in list:
  indexes = [i for i,x in enumerate(s) if x==j]
  if len(indexes)==0:
    continue
  for k in indexes:
    for l in range(len(s)-k):
      d.append(s[k:l+k+1])
      if len(s[k:l+k+1])==z:
        break
print(sorted(set(d))[z-1])

Buggy python submission (verdict: Runtime Error):
s = input()
z = int(input())
list = [chr(i) for i in range(97,97+26)]
d = []
flag = 0
for j in list:
  indexes = [i for i,x in enumerate(s) if x==j]
  if len(indexes)==0:
    continue
  for k in indexes:
    for l in range(len(s)-k):
      d.append(s[k:l+k+1])
  if len(d)==z:
    break
print(sorted(set(d))[z-1])

Fixed submission:
s = input()
z = int(input())
list = [chr(i) for i in range(97,97+26)]
d = []
for j in list:
  indexes = [i for i,x in enumerate(s) if x==j]
  if len(indexes)==0:
    continue
  for k in indexes:
    for l in range(len(s)-k):
      d.append(s[k:l+k+1])
      if len(s[k:l+k+1])==z:
        break
print(sorted(set(d))[z-1])

Buggy python submission (verdict: Runtime Error):
s = input()
z = int(input())
list = [chr(i) for i in range(97,97+26)]
d = []
flag = 0
for j in list:
  indexes = [i for i,x in enumerate(s) if x==j]
  if len(indexes)==0:
    continue
  for k in indexes:
    for l in range(len(s)-k):
      d.append(s[k:l+k+1])
  if len(d)==k:
    break
print(sorted(set(d))[z-1])

Fixed submission:
s = input()
z = int(input())
list = [chr(i) for i in range(97,97+26)]
d = []
for j in list:
  indexes = [i for i,x in enumerate(s) if x==j]
  if len(indexes)==0:
    continue
  for k in indexes:
    for l in range(len(s)-k):
      d.append(s[k:l+k+1])
      if len(s[k:l+k+1])==z:
        break
print(sorted(set(d))[z-1])

Buggy python submission (verdict: Runtime Error):
s = input()
z = int(input())
list = [chr(i) for i in range(97,97+26)]
d = []
flag = 0
for j in list:
  indexes = [i for i,x in enumerate(s) if x==j]
  for k in indexes:
    for l in range(len(s)-k):
      d.append(s[k:l+k+1])
  if len(d)==k:
    break
print(sorted(set(d))[z-1])

Fixed submission:
s = input()
z = int(input())
list = [chr(i) for i in range(97,97+26)]
d = []
for j in list:
  indexes = [i for i,x in enumerate(s) if x==j]
  if len(indexes)==0:
    continue
  for k in indexes:
    for l in range(len(s)-k):
      d.append(s[k:l+k+1])
      if len(s[k:l+k+1])==z:
        break
print(sorted(set(d))[z-1])
Buggy python submission (verdict: Runtime Error):
N, M = map(int, input().split())
p = list(map(lambda x: int(x) - 1, input().split()))
class UnionFind:
  def __init__(self, n):
    self.table = [-1 for _ in range(n)]
    
  def root(self, x):
    if self.table[x] < 0:
      return x
    else:
      return self.table[x] = self.root(self.table[x])
  
  def unite(self, x, y):
    s1, s2 = self.root(x), self.root(y)
    if s1 != s2:
      if self.table[s1] != self.table[s2]:
        if self.table[s1] < self.table[s2]:
          self.table[s2] = s1
        else:
          self.table[s1] = s2
      else:
        self.table[s1] += -1
        self.table[s2] = s1
    return
  
  def find Set(self, x, y):
    return self.root(x) == self.root(y)
uf = UnionFind(N)
for i in range(M):
  px, py = map(int, input().split())
  px -= 1
  py -= 1
  uf.unite(px, py)
ans = 0
for i, v in enumerate(p):
  if uf.findSet(i,v):
    ans += 1
print(ans)

Fixed submission:
N, M = map(int, input().split())
p = list(map(lambda x: int(x) - 1, input().split()))
class UnionFind:
  def __init__(self, n):
    self.table = [-1 for _ in range(n)]
    
  def root(self, x):
    if self.table[x] < 0:
      return x
    else:
      self.table[x] = self.root(self.table[x])
      return self.table[x]
  
  def unite(self, x, y):
    s1, s2 = self.root(x), self.root(y)
    if s1 != s2:
      if self.table[s1] != self.table[s2]:
        if self.table[s1] < self.table[s2]:
          self.table[s2] = s1
        else:
          self.table[s1] = s2
      else:
        self.table[s1] += -1
        self.table[s2] = s1
    return
  
  def findSet(self, x, y):
    return self.root(x) == self.root(y)
uf = UnionFind(N)
for i in range(M):
  px, py = map(int, input().split())
  px -= 1
  py -= 1
  uf.unite(px, py)
ans = 0
for i, v in enumerate(p):
  if uf.findSet(i,v):
    ans += 1
print(ans)

Buggy python submission (verdict: Runtime Error):
s = input()
z = int(input())
list = [chr(i) for i in range(97,97+26)]
d = []
flag = 0
for j in list:
  indexes = [i for i,x in enumerate(s) if x==j]
  if len(indexes)==0:
    continue
  for k in indexes:
    for l in range(len(s)-k):
      d.append(s[k:l+k+1])
  if len(d)==k:
    break
print(sorted(set(d))[z-1])

Fixed submission:
N, M = map(int, input().split())
p = list(map(lambda x: int(x) - 1, input().split()))
class UnionFind:
  def __init__(self, n):
    self.table = [-1 for _ in range(n)]
    
  def root(self, x):
    if self.table[x] < 0:
      return x
    else:
      self.table[x] = self.root(self.table[x])
      return self.table[x]
  
  def unite(self, x, y):
    s1, s2 = self.root(x), self.root(y)
    if s1 != s2:
      if self.table[s1] != self.table[s2]:
        if self.table[s1] < self.table[s2]:
          self.table[s2] = s1
        else:
          self.table[s1] = s2
      else:
        self.table[s1] += -1
        self.table[s2] = s1
    return
  
  def findSet(self, x, y):
    return self.root(x) == self.root(y)
uf = UnionFind(N)
for i in range(M):
  px, py = map(int, input().split())
  px -= 1
  py -= 1
  uf.unite(px, py)
ans = 0
for i, v in enumerate(p):
  if uf.findSet(i,v):
    ans += 1
print(ans)
Buggy python submission (verdict: Runtime Error):
a,b,c,x,y = map(int,input().split())
fx = x
fy = y
fl = 0
val = int(0)
fmin = min(x,y)
if a>2*c:
  val += 2*c*x
  y = y - x
  x = 0
  fl += 1
if y<0:
  y=0
if b>2*c:
  if fl == 1:
    val += 2*c*y
    y = 0
  else:
    val += 2*c*y
    x = x - y
    y = 0 
if x<0:
  nx = 0
else:
  nx = x
if y<0:
  ny = 0
else:
  ny = y
if a+b>2*c:
  nnx = nx - min(nx,ny)
  nny = ny - min(nx,ny)
  val += 2*c*min(nx,ny)
print(val+a*nnx+b*nny)

Fixed submission:
a,b,c,x,y = map(int,input().split())
fx = x
fy = y
fl = 0
val = int(0)
fmin = min(x,y)
if a>2*c:
  x = 0
  y = y - fx
  val += 2*c*fx
  fl += 1
if y < 0:
  y = 0
if b>2*c:
  if fl == 1:
    val += 2*c*y
    y = 0
  else:
    val += 2*c*y
    x = x -y
    y = 0 
if x < 0:
  x = 0
nx = x
ny = y
if a+b>2*c:
  x = x - min(nx,ny)
  y = y - min(nx,ny)
  val += 2*c*min(nx,ny)
print(val+a*x+b*y)
Buggy python submission (verdict: Runtime Error):
a, b = map(int, input())
if a*b%2 == 1:
  print('Odd')
else:
  print('Even') 

Fixed submission:
a, b = map(int, input().split())
if a*b%2 == 1:
  print('Odd')
else:
  print('Even')
Buggy python submission (verdict: Runtime Error):
a,b,t=input().split()
print(math.factorial(t//a)*b)

Fixed submission:
a,b,t=(int(x) for x in input().split())
print((t//a)*b)
Buggy python submission (verdict: Runtime Error):
if (N % 7) % 4 == 0 or (N % 4) % 7 == 0:
    print("Yes")
else:
    print("No")

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

for i in range((N // 4)+1):
    for j in range((N // 7)+1):
        if 4 * i + 7 * j == N:
            print("Yes")
            sys.exit()
print("No")
Buggy python submission (verdict: Runtime Error):
a = int(input())
b = int(input())
h = int(input())

print(int((a+b)/2*h)

Fixed submission:
a = int(input())
b = int(input())
h = int(input())

print(int((a+b)/2*h))
Buggy python submission (verdict: Time Limit Exceeded):
num = int(input())

from collections import defaultdict
from collections import OrderedDict
dic = defaultdict(int)
import operator

for i in range(num):
  s = input()
  if s in dic:
      dic[s] += 1
  else:
      dic[s] = 1

d = OrderedDict(sorted(dic.items()))

k = {}
k = [key for m in [max(d.values())] for key,val in d.items() if val == m]

for i in k:
  print(i)

Fixed submission:
num = int(input())

from collections import defaultdict
dic = defaultdict(int)

for i in range(num):
  s = input()
  if s in dic:
      dic[s] += 1
  else:
      dic[s] = 1

k = {}
k = [key for m in [max(dic.values())] for key,val in dic.items() if val == m]
k.sort()
for i in k:
  print(i)
Buggy python submission (verdict: Runtime Error):
inputs = list(map(str,input().split()))

a = int(inputs[2])
b= int(inputs[3])

if inputs[4] == inputs[0]:
  a = a - 1
elif inputs[4] == inputs[1]:
  b = b - 1

print("{0} {1}".format(a, b))

Fixed submission:
import sys

msg = sys.stdin.readlines()
lines = list()

for item in msg:
    if " " in item:
        s, t = item.split()
        lines.append(s)
        lines.append(t)
    else:
        item = item.replace('\n','')
        lines.append(item)

a = int(lines[2])
b = int(lines[3])

if lines[4] == lines[0]:
    a = a - 1
elif lines[4] == lines[1]:
    b = b - 1

print("{0} {1}".format(a, b))
Buggy python submission (verdict: Time Limit Exceeded):
from sys import stdin
n, m = map(int, stdin.readline().rstrip().split())
ary = list(map(int, stdin.readline().rstrip().split()))
dp = [[float('inf')] * (m+1) for _ in range(n)]

for i in range(m, -1, -1):
    dp[n-1][i] = ary[n-1] // (2 ** i)
    if n == 1:
        break

if n >= 2:
    for j in range(n-2, -1, -1):
        for i in range(m+1):
            temp = float('inf')
            for k in range(i+1):
                temp = min(temp, dp[j+1][k] + ary[j] // (2 ** (i - k)))
                if temp == 0:
                    break
            dp[j][i] = temp

print(dp[0][m])

Fixed submission:
from sys import stdin
import heapq
n, m = map(int, stdin.readline().rstrip().split())
ary = list(map(int, stdin.readline().rstrip().split()))

def _heappush_max(heap, item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)


def _heappop_max(heap):
    """Maxheap version of a heappop."""
    lastelt = heap.pop()    # raises appropriate IndexError if heap is empty
    if heap:
        returnitem = heap[0]
        heap[0] = lastelt
        heapq._siftup_max(heap, 0)
        return returnitem
    return lastelt


heapq._heapify_max(ary)

for i in range(m):
    temp = _heappop_max(ary) // 2
    _heappush_max(ary, temp)

res = sum([heapq.heappop(ary) for _ in range(n)])
print(res)
Buggy python submission (verdict: Runtime Error):
from sys import stdin
from itertools import groupby
n = int(stdin.readline().rstrip())
sary = [sorted(stdin.readline().rstrip()) for _ in range(n)]

gr = groupby(sary.sort())

res = 0

for k, g in gr:
    if k >= 2:
        res += k * (k - 1) // 2

print(res)

Fixed submission:
from sys import stdin
from itertools import groupby
n = int(stdin.readline().rstrip())
sary = sorted(["".join(sorted(stdin.readline().rstrip())) for _ in range(n)])

gr = groupby(sary)

res = 0

for k, g in gr:
    num = len(list(g))
    if  num >= 2:
        res += num * (num - 1) // 2

print(res)

Buggy python submission (verdict: Time Limit Exceeded):
from sys import stdin
n = int(stdin.readline().rstrip())
sary = [sorted(stdin.readline().rstrip()) for _ in range(n)]

res = 0
for i in range(n):
    for j in range(i+1, n):
        if sary[i] == sary[j]:
            res += 1

print(res)

Fixed submission:
from sys import stdin
from itertools import groupby
n = int(stdin.readline().rstrip())
sary = sorted(["".join(sorted(stdin.readline().rstrip())) for _ in range(n)])

gr = groupby(sary)

res = 0

for k, g in gr:
    num = len(list(g))
    if  num >= 2:
        res += num * (num - 1) // 2

print(res)

Buggy python submission (verdict: Time Limit Exceeded):
from sys import stdin
n = int(stdin.readline().rstrip())
sary = [stdin.readline().rstrip() for _ in range(n)]

res = 0
for i in range(n):
    for j in range(i+1, n):
        if str(sorted(sary[i])) == str(sorted(sary[j])):
            res += 1

print(res)

Fixed submission:
from sys import stdin
from itertools import groupby
n = int(stdin.readline().rstrip())
sary = sorted(["".join(sorted(stdin.readline().rstrip())) for _ in range(n)])

gr = groupby(sary)

res = 0

for k, g in gr:
    num = len(list(g))
    if  num >= 2:
        res += num * (num - 1) // 2

print(res)
Buggy python submission (verdict: Runtime Error):
from sys import stdin

n = int(stdin.readline().rstrip())
h = list(map(int, stdin.readline().rstrip().split(' ')))

if n == 1:
    print("Yes")
    exit()
for i in range(n-1, -1, -1):
    if h[i] - h[i+1] == 1:
        h[i] -= 1
    elif h[i] - h[i+1] > 1:
        print("No")
        exit()
print("Yes")

Fixed submission:
from sys import stdin

n = int(stdin.readline().rstrip())
h = list(map(int, stdin.readline().rstrip().split(' ')))

if n == 1:
    print("Yes")
    exit()
for i in range(n-2, -1, -1):
    if h[i] - h[i+1] == 1:
        h[i] -= 1
    elif h[i] - h[i+1] > 1:
        print("No")
        exit()
print("Yes")