Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

N, k = list(map(int, input().split()))
if k > N:
    k = N
hs = list(map(int, input().split()))
hs = [0] + hs

# init
dp = np.zeros(N + 1).astype(int)
dp[2] = abs(hs[2] - hs[1])

# loop
if N > 2:
    for i in range(3, N + 1):
        for j in range(1, k + 1):
            if i <= j:
                continue
            if dp[i] == 0:
                dp[i] = dp[i-j] + abs(hs[i] - hs[i-j])
            else:
                dp[i] = min(dp[i-j] + abs(hs[i] - hs[i-j]), dp[i])

# output
print(dp[N])

Fixed submission:
import numpy as np

N, k = list(map(int, input().split()))
if k > N:
    k = N
hs = list(map(int, input().split()))
hs = np.array([0] + hs)

# init
dp = np.zeros(N + 1).astype(int)
dp[2] = abs(hs[2] - hs[1])

# loop
if N > 2:
    for i in range(3, N + 1):
        """
        for j in range(1, k + 1):
            if i <= j:
                continue
            if dp[i] == 0:
                dp[i] = dp[i-j] + abs(hs[i] - hs[i-j])
            else:
                dp[i] = min(dp[i-j] + abs(hs[i] - hs[i-j]), dp[i])
        """
        x = max(1, i - k)
        dp[i] = np.min(dp[x:i] + np.abs(hs[i] - hs[x:i]))

# output
print(dp[N])

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

N, k = list(map(int, input().split()))
if k > N:
    k = N
hs = list(map(int, input().split()))
hs = [0] + hs

# init
dp = np.zeros(N + 1).astype(int)
dp[2] = abs(hs[2] - hs[1])

# loop
if N > 2:
    for i in range(3, N + 1):
        vals = []
        for j in range(1, k + 1):
            if i > j:
                vals.append(dp[i-j] + abs(hs[i] - hs[i-j]))
        dp[i] = min(vals)

# output
print(dp[N])

Fixed submission:
import numpy as np

N, k = list(map(int, input().split()))
if k > N:
    k = N
hs = list(map(int, input().split()))
hs = np.array([0] + hs)

# init
dp = np.zeros(N + 1).astype(int)
dp[2] = abs(hs[2] - hs[1])

# loop
if N > 2:
    for i in range(3, N + 1):
        """
        for j in range(1, k + 1):
            if i <= j:
                continue
            if dp[i] == 0:
                dp[i] = dp[i-j] + abs(hs[i] - hs[i-j])
            else:
                dp[i] = min(dp[i-j] + abs(hs[i] - hs[i-j]), dp[i])
        """
        x = max(1, i - k)
        dp[i] = np.min(dp[x:i] + np.abs(hs[i] - hs[x:i]))

# output
print(dp[N])
Buggy python submission (verdict: Runtime Error):
N = int(input())
A=list(map(int,input().split())
B=list(map(int,input().split())
ans = 0
for j in range(N):
    temp = 0
    for k in range(j+1):
        temp += A[k]
    for l in range(j,N):
        temp += B[l]
    ans = max(ans,temp)
print(ans)


Fixed submission:
N = int(input())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
ans = 0
for j in range(N):
    temp = 0
    for k in range(j+1):
        temp += A[k]
    for l in range(j,N):
        temp += B[l]
    ans = max(ans,temp)
print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())
l = list(map(int,input().split()))
 
count = 0
 
while True:
  for i in range(n):
    if l[i]%2 == 0:
      l[i] = l[i]//2
    else:
      print(count)
      exit()
  count += 1

Fixed submission:
print(input().count("1"))

Buggy python submission (verdict: Runtime Error):
n = int(input())
l = list(map(int,input().split()))
 
count = 0
 
while True:
  for i in n:
    if l[i]%2 == 0:
      l[i] = l[i]//2
    else:
      print(count)
      exit()
  count += 1

Fixed submission:
print(input().count("1"))

Buggy python submission (verdict: Runtime Error):
n = int(input())
l = list(map(int ,input().split(" ")))
count = 0
while True:
  for i in range(n):
    if l[i]%2 == 0:
      l[i] = l[i]//2
    else:
      print(count)
      exit()
  count += 1

Fixed submission:
print(input().count("1"))

Buggy python submission (verdict: Runtime Error):
n = int(input())
l = list(map(int ,input().split(" ")))
count = 0
while True:
	for i in range(n):
		if l[i]%2 == 0:
			l[i] = l[i]//2
		else:
			print(count)
			exit()
	count += 1

Fixed submission:
print(input().count("1"))

Buggy python submission (verdict: Runtime Error):
n = input()
l = list(map(int ,input().split(" ")))
 
count = 0
 
while True:
	for i in range(n):
		if l[i]%2 == 0:
			l[i] = l[i]//2
		else:
			print(count)
			exit()
	count += 1

Fixed submission:
print(input().count("1"))

Buggy python submission (verdict: Runtime Error):
n = int(input())
l=list(map(int ,input().split(" ")))
count=0
while True:
    for i in range(n):
        if l[i]%2==0:
            l[i]=l[i]//2
        else:
            print(count)
            exit()
    count+=1    

Fixed submission:
print(input().count("1"))

Buggy python submission (verdict: Runtime Error):
n = input()
l = list(map(int,input().split(" ")))
 
count = 0
 
while True:
  for i in range(n):
    if l[i]%2 == 0:
      l[i] = l[i]//2
    else:
      print(count)
      exit()
  count += 1
 

Fixed submission:
print(input().count("1"))

Buggy python submission (verdict: Runtime Error):
n = input()
l = list(map(int,input().split(" ")))
 
count = 0
 
while True:
  for i in range(n):
    if l[i]%2 == 0:
      l[i] = l[i]//2
    else:
      print(count)
      break
  count += 1
 

Fixed submission:
print(input().count("1"))
Buggy python submission (verdict: Runtime Error):
N, K = map(int,input().split())
A = list(map(int,input().split()))
ans = 0
B = [0]*20

for i in A:
    B[i] += 1
B.sort(reverse = True)

for i in range(K,N):
    ans += B[i]
print(ans)

Fixed submission:
n, k = map(int, input().split())
A = list(map(int,input().split()))
 
b = [0]*200002
 
for a in A:
  b[a] += 1
b.sort(reverse = True)
print(n-sum(b[:k]))

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

b = [0]*200002

for a in A:
  b[a] += 1
b.sort(reverse = Ture)
print(n-sum(b[:k]))





Fixed submission:
n, k = map(int, input().split())
A = list(map(int,input().split()))
 
b = [0]*200002
 
for a in A:
  b[a] += 1
b.sort(reverse = True)
print(n-sum(b[:k]))
Buggy python submission (verdict: Runtime Error):
r, g, b = map(int, input().split())
s = (100*r) + (10*g) + b
if s%4 == 0:
  print(YES)
else:
  print(NO)

Fixed submission:
r, g, b = map(int, input().split())
s = 100*r + 10*g + b
if s%4 == 0:
  print("YES")
else:
  print("NO")

Buggy python submission (verdict: Runtime Error):
r, g, b = map(int, input().split())
s = 100*r + 10*g + b
if s%4 == 0:
  print(YES)
else:
  print(NO)

Fixed submission:
r, g, b = map(int, input().split())
s = 100*r + 10*g + b
if s%4 == 0:
  print("YES")
else:
  print("NO")
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
T = 100
for i in range(1,N+1):
    if N%i ==0:
        A = i
        B = N/i
        Q = len(str(max(A, B)))
        T = min(T,Q)
print(T)


Fixed submission:
import math
N = int(input())
T = 100
for i in range(1,(math.ceil(N**0.5))+1):
    if N%i ==0:
        A = int(i)
        B = int(N/i)
        Q = len(str(max(A, B)))
        T = min(T,Q)
print(T)
Buggy python submission (verdict: Time Limit Exceeded):
K, S = map(int,input().split())
ans = 0
for x in range(K+1):
    for y in range(K+1):
        for z in range(K+1):
            if x + y + z == S:
                ans += 1
print(ans)

Fixed submission:
K, S = map(int,input().split())
ans = 0
for x in range(K+1):
    for y in range(K+1):
        if 0 <= S - x - y <= K:
            ans += 1
print(ans)
Buggy python submission (verdict: Runtime Error):
#include <iostream>
using namespace std;
int fact(int n)
{
  int facto=1;
  for (int i = 1; i < n+1;i++)
  {
    facto = facto * i;
  }
  return facto;
}


int main()
{
	int x,y, result;
	cin >> x >> y;
	result = (fact(x)/(2*fact(x-2))) + (fact(y)/(2*fact(y-2)));
	cout << result << endl;
	return 0;
}

Fixed submission:
def fact(n):
  fact=1
  for i in range(1,n+1): 
    fact = fact * i 
  return fact


x,y = input().split()
x = int(x)
y = int(y)
print((fact(x)//(2*fact(x-2))) + (fact(y)//(2*fact(y-2))))

Buggy python submission (verdict: Runtime Error):
def fact(n):
  fact=1
  for i in range(1,n+1): 
    fact = fact * i 
  return fact


x,y = input().split()
return ((fact(x)/(2*fact(x-2)) + (fact(y)/(2*fact(y-2)))

Fixed submission:
def fact(n):
  fact=1
  for i in range(1,n+1): 
    fact = fact * i 
  return fact


x,y = input().split()
x = int(x)
y = int(y)
print((fact(x)//(2*fact(x-2))) + (fact(y)//(2*fact(y-2))))

Buggy python submission (verdict: Runtime Error):
def fact(n):
  for i in range(1,n+1): 
    fact = fact * i 
  return fact


x,y = input().split()
return ((fact(x)/(2*fact(x-2)) + (fact(y)/(2*fact(y-2)))

Fixed submission:
def fact(n):
  fact=1
  for i in range(1,n+1): 
    fact = fact * i 
  return fact


x,y = input().split()
x = int(x)
y = int(y)
print((fact(x)//(2*fact(x-2))) + (fact(y)//(2*fact(y-2))))
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())

if M == 1:
    l1, r1 = map(int, input().split())
    print(r1 - l1 + 1)
else:
    C = 0
    
    l1, r1 = map(int, input().split())
    for _ in range(M - 1):
        l2, r2 = map(int, input().split())

        A = list(range(l1, r1 + 1))
        B = list(range(l2, r2 + 1))

        C = set(A) & set(B)
    print(len(C))

Fixed submission:
N, M = map(int, input().split())
left= []
right = []
for _ in range(M):
    L, R = map(int, input().split())
    left.append(L)
    right.append(R)

min_right = min(right)
max_left = max(left)
if min_right < max_left:
    print(0)
else:
    print(min_right - max_left + 1)

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())

C = 0

if M == 1:
    l1, r1 = map(int, input().split())
    print(r1 - l1 + 1)
else:
    l1, r1 = map(int, input().split())
    for _ in range(M-1):
        l2, r2 = map(int, input().split())

        A = list(range(l1,r1+1))
        B = list(range(l2, r2+1))

        C = len(set(A) & set(B))
    print(C)


Fixed submission:
N, M = map(int, input().split())
left= []
right = []
for _ in range(M):
    L, R = map(int, input().split())
    left.append(L)
    right.append(R)

min_right = min(right)
max_left = max(left)
if min_right < max_left:
    print(0)
else:
    print(min_right - max_left + 1)
Buggy python submission (verdict: Runtime Error):
N, M = map(int,input().split())

return(int(N*(N-1)//2 + M*(M-1)//2))


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

print(int(N * (N-1)//2 + M * (M-1)//2))

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

print(int(N(N-1)//2 + M(M-1)//2))


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

print(int(N * (N-1)//2 + M * (M-1)//2))

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

return(int(N(N-1)//2 + M(M-1)//2))

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

print(int(N * (N-1)//2 + M * (M-1)//2))

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

return(int(N*(N-1)//2 + M*(M-1)//2))

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

print(int(N * (N-1)//2 + M * (M-1)//2))
Buggy python submission (verdict: Runtime Error):
S = input()

N = len(S) + 1
L = []
counter = 0

for n in range(N-2):
    counter += 1
    if S[n]!=S[n+1]:
        L.append(counter)
        counter = 0
        if S[n]=='>' and L[-1]>=L[-2]:
            L[-2] -= 1
        elif S[n]=='>' and L[-1]<L[-2]:
            L[-1] -= 1
            
if S[-1]=='<':
    L.append(counter+1)
else:
    L.append(counter)
        
print(sum([l*(l+1)//2 for l in L]))

Fixed submission:
S = input()

N = len(S) + 1
L = []
counter = 0

for n in range(N-2):
    counter += 1
    if S[n]!=S[n+1]:
        L.append(counter)
        counter = 0
            
L.append(counter+1)

if S[0]=='<':
    K = len(L)//2
    for k in range(K):
        if L[2*k] <= L[2*k+1]:
            L[2*k] -= 1
        else:
            L[2*k+1] -= 1

else:
    K = (len(L)-1)//2
    for k in range(K):
        if L[2*k+1] <= L[2*k+2]:
            L[2*k+1] -= 1
        else:
            L[2*k+2] -= 1
        
print(sum([l*(l+1)//2 for l in L]))

Buggy python submission (verdict: Runtime Error):
S = input()

N = len(S) + 1
L = []
counter = 0

for n in range(N-2):
    counter += 1
    if S[n]!=S[n+1]:
        L.append(counter)
        counter = 0
        if S[n]=='>' and L[-1]>=L[-2]:
            L[-2] -= 1
        elif S[n]=='>' and L[-1]<L[-2]:
            L[-1] -= 1
            
if S[N-2]=='<':
    L.append(counter+1)
else:
    L.append(counter)
L.append(counter)
        
print(sum([l*(l+1)//2 for l in L]))

Fixed submission:
S = input()

N = len(S) + 1
L = []
counter = 0

for n in range(N-2):
    counter += 1
    if S[n]!=S[n+1]:
        L.append(counter)
        counter = 0
            
L.append(counter+1)

if S[0]=='<':
    K = len(L)//2
    for k in range(K):
        if L[2*k] <= L[2*k+1]:
            L[2*k] -= 1
        else:
            L[2*k+1] -= 1

else:
    K = (len(L)-1)//2
    for k in range(K):
        if L[2*k+1] <= L[2*k+2]:
            L[2*k+1] -= 1
        else:
            L[2*k+2] -= 1
        
print(sum([l*(l+1)//2 for l in L]))
Buggy python submission (verdict: Time Limit Exceeded):
from math import sqrt
A, B = map(int, input().split())

n = max(A,B)
ans = 1
for p in range(2,n+1):
    if A%p==0 and B%p==0:
        ans += 1
        while A%p==0 and B%p==0:
            A = A//p
            B = B//p
    if A==1 or B==1:
        break
print(ans)

Fixed submission:
from math import sqrt
def gcd(a,b):
    if b==0:
        return a
    else:
        return gcd(b,a%b)
    
A, B = map(int, input().split())

g = gcd(A, B)
n = int(sqrt(g))+1
ans = 1
for p in range(2,n+1):
    if g%p==0:
        ans += 1
        while g%p==0:
            g = g//p
if g!=1:
    ans += 1

print(ans)
Buggy python submission (verdict: Runtime Error):
from bisect import insort_left
from collections import deque
N, M = map(int, input().split())
A = list(map(int, input().split()))

A.sort()
A = deque(A)

for _ in range(M):
    a = A.pop()
    insort_left(A, a//2)
    
print(sum(A))

Fixed submission:
import heapq

def f(x):
    return -int(x)

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

A.sort()

for _ in range(M):
    a = A[0]
    heapq.heappop(A)
    heapq.heappush(A, -((-a)//2))
    
print(-sum(A))

Buggy python submission (verdict: Time Limit Exceeded):
from bisect import insort_left
N, M = map(int, input().split())
A = list(map(int, input().split()))

A.sort()
for _ in range(M):
    a = A.pop()
    insort_left(A, a//2)
    
print(sum(A))

Fixed submission:
import heapq

def f(x):
    return -int(x)

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

A.sort()

for _ in range(M):
    a = A[0]
    heapq.heappop(A)
    heapq.heappush(A, -((-a)//2))
    
print(-sum(A))
Buggy python submission (verdict: Runtime Error):
N = int(input())
print(sum(list(range(N))))

Fixed submission:
N = int(input())
print(((N-1)*N)//2)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
S = [sorted(list(input())) for _ in range(N)]

ans = 0
for i in range(N):
    for j in range(i+1, N):
        if S[i]==S[j]:
            ans += 1
print(ans)

Fixed submission:
N = int(input())
S = [''.join(sorted(input())) for _ in range(N)]

D = {}
ans = 0
for s in S:
    if s in D:
        D[s] += 1
        ans += D[s]
    else:
        D[s] = 0

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import math
S = list(input())

N = len(S)
flag = 0
x = 0
y = 0
X = []
Y = [-2]
for n in range(N):
    if flag==0 and S[n]=='R':
        pass
    elif flag==0 and S[n]=='L':
        flag = 1
        Y.append(n-1)
    elif flag==1 and S[n]=='L':
        pass
    else:
        flag = 0
        X.append([x,n-1])
        x = n
X.append([x,N-1])

ans = []
K = len(Y)-1
for k in range(K):
    ans = ans + [0]*(Y[k+1]-Y[k]-2)
    ans = ans + [math.ceil((Y[k+1]-X[k][0]+1)/2) + math.floor((X[k][1]-Y[k+1])/2)]
    ans = ans + [math.floor((Y[k+1]-X[k][0]+1)/2) + math.ceil((X[k][1]-Y[k+1])/2)]
ans = ans + [0]*(N-Y[K]-2)

print(*ans)

Fixed submission:
from collections import deque 
import math
S = list(input())

N = len(S)
flag = 0
x = 0
y = 0
X = []
Y = [-2]
for n in range(N):
    if flag==0 and S[n]=='R':
        pass
    elif flag==0 and S[n]=='L':
        flag = 1
        Y.append(n-1)
    elif flag==1 and S[n]=='L':
        pass
    else:
        flag = 0
        X.append([x,n-1])
        x = n
X.append([x,N-1])

ans = []
ans = deque(ans)
K = len(Y)-1
for k in range(K):
    ans += [0]*(Y[k+1]-Y[k]-2)
    ans.append(math.ceil((Y[k+1]-X[k][0]+1)/2) + math.floor((X[k][1]-Y[k+1])/2))
    ans.append(math.floor((Y[k+1]-X[k][0]+1)/2) + math.ceil((X[k][1]-Y[k+1])/2))
ans += [0]*(N-Y[K]-2)

print(*ans)
Buggy python submission (verdict: Time Limit Exceeded):
import bisect
N = int(input())
A = [int(input()) for n in range(N)]

tree = [[A[0]]]
leaf = [A[0]]
for n in range(1,N):
    a = A[n]
    pos = min(n-1,bisect.bisect_left(leaf,a)-1)
    if pos==-1:
        tree = [[a]] + tree
        leaf = [a] + leaf
    else:
        tree[pos].append(a)
        leaf[pos] = a
print(len(tree))

Fixed submission:
import bisect
from collections import deque
N = int(input())
A = [int(input()) for n in range(N)]

tree = deque([[A[0]]])
leaf = deque([A[0]])
for n in range(1,N):
    a = A[n]
    pos = min(n-1,bisect.bisect_left(leaf,a)-1)
    if pos==-1:
        tree.appendleft([a])
        leaf.appendleft(a)
    else:
        tree[pos].append(a)
        leaf[pos] = a
print(len(tree))

Buggy python submission (verdict: Runtime Error):
import bisect
N = int(input())
A = [int(input()) for n in range(N)]

tree = [[A[0]]]
leaf = [A[0]]
for n in range(1,N):
    a = A[n]
    pos = min(n-1,bisect.bisect_left(leaf,a)-1)
    if pos==-1:
        tree = [a] + tree
        leaf = [a] + leaf
    else:
        tree[pos].append(a)
        leaf[pos] = a
print(len(tree))

Fixed submission:
import bisect
from collections import deque
N = int(input())
A = [int(input()) for n in range(N)]

tree = deque([[A[0]]])
leaf = deque([A[0]])
for n in range(1,N):
    a = A[n]
    pos = min(n-1,bisect.bisect_left(leaf,a)-1)
    if pos==-1:
        tree.appendleft([a])
        leaf.appendleft(a)
    else:
        tree[pos].append(a)
        leaf[pos] = a
print(len(tree))

Buggy python submission (verdict: Runtime Error):
import bisect
N = int(input())
A = [int(input()) for n in range(N)]

tree = [[A[0]]]
leaf = [A[0]]
for n in range(1,N):
    a = A[n]
    pos = min(n-1,bisect.bisect_left(leaf,a)-1)
    if pos==-1:
        tree = a + tree
        leaf = a + leaf
    else:
        tree[pos].append(a)
        leaf[pos] = a
print(len(tree))

Fixed submission:
import bisect
from collections import deque
N = int(input())
A = [int(input()) for n in range(N)]

tree = deque([[A[0]]])
leaf = deque([A[0]])
for n in range(1,N):
    a = A[n]
    pos = min(n-1,bisect.bisect_left(leaf,a)-1)
    if pos==-1:
        tree.appendleft([a])
        leaf.appendleft(a)
    else:
        tree[pos].append(a)
        leaf[pos] = a
print(len(tree))

Buggy python submission (verdict: Time Limit Exceeded):
import bisect
N = int(input())
A = [int(input()) for n in range(N)]

tree = [[A[0]]]
leaf = [A[0]]
for n in range(1,N):
    a = A[n]
    pos = min(n-1,bisect.bisect_left(leaf,a)-1)
    if pos==-1:
        tree.insert(0,[a])
        leaf.insert(0,a)
    else:
        tree[pos].append(a)
        leaf[pos] = a
print(len(tree))

Fixed submission:
import bisect
from collections import deque
N = int(input())
A = [int(input()) for n in range(N)]

tree = deque([[A[0]]])
leaf = deque([A[0]])
for n in range(1,N):
    a = A[n]
    pos = min(n-1,bisect.bisect_left(leaf,a)-1)
    if pos==-1:
        tree.appendleft([a])
        leaf.appendleft(a)
    else:
        tree[pos].append(a)
        leaf[pos] = a
print(len(tree))
Buggy python submission (verdict: Runtime Error):
import numpy as np

N = int(input())
b = np.array(list(map(int, input().split())))

v = np.array([1]*N)
A_inv = np.diag(v, k=0)
for n in range(N):
    A_inv += np.diag(((-1)**(n+1))*v[n:], k=-n)
    A_inv += np.diag(((-1)**n)*v[n:], k=n)
x = list(np.dot(A_inv, b))
x = [int(xj) for xj in x]
print(*x)

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

S = [0]*(N+1)

for n in range(N):
    S[n+1] = S[n] + ((-1)**n)*b[n]
    
ans = [0]*N
for n in range(N):
    ans[n] = b[n] - ((-1)**n)*S[n] + ((-1)**n)*(S[N]-S[n+1])
    
print(*ans)

Buggy python submission (verdict: Runtime Error):
import numpy as np

N = int(input())
b = np.array(list(map(int, input().split())))

v0 = np.array([0.5]*N)
A0 = np.diag(v0, k=0)
v1 = np.array([0.5]*(N-1))
A1 = np.diag(v1, k=1)
A = A0 + A1
A[N-1][0] = 0.5
Ainv = np.linalg.inv(A)
x = list(np.dot(Ainv, b))
x = [int(xj) for xj in x]
print(*x)

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

S = [0]*(N+1)

for n in range(N):
    S[n+1] = S[n] + ((-1)**n)*b[n]
    
ans = [0]*N
for n in range(N):
    ans[n] = b[n] - ((-1)**n)*S[n] + ((-1)**n)*(S[N]-S[n+1])
    
print(*ans)

Buggy python submission (verdict: Runtime Error):
import numpy as np

N = int(input())
b = np.array(list(map(int, input().split())))

v0 = np.array([0.5]*N)
A0 = np.diag(v0, k=0)
v1 = np.array([0.5]*(N-1))
A1 = np.diag(v1, k=-1)
A = A0 + A1
A[0][N-1] = 0.5
Ainv = np.linalg.inv(A)
x = list(np.dot(Ainv, b))
ans = [x[-1]] + x[:N-1]
ans = [int(a) for a in ans]
print(*ans)

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

S = [0]*(N+1)

for n in range(N):
    S[n+1] = S[n] + ((-1)**n)*b[n]
    
ans = [0]*N
for n in range(N):
    ans[n] = b[n] - ((-1)**n)*S[n] + ((-1)**n)*(S[N]-S[n+1])
    
print(*ans)
Buggy python submission (verdict: Runtime Error):
W, H, x, y = map(int, input().split())

if (x == 0 or x == W) or (y == 0 and y == H) or x * H == W * y or x * H + W * y = W * H:
    print(W*H/2, 0)
else:
    S = W*min(y,H-y)
    T = min(x,W-x)*H
    counter = 0
    if S == T:
        counter += 1
    print(max(S,T), counter)

Fixed submission:
W, H, x, y = map(int, input().split())

if x==W/2 and y==H/2:
    print(H*W/2, 1)
else:
    print(H*W/2, 0)
Buggy python submission (verdict: Runtime Error):
N, A, B, C, D = map(int, input().split())
S = input()

AtoC = True
BtoD = True
replace = False

for n in list(range(A-1,C)):
    if S[n] =='#' and S[n+1] =='#':
        AtoC = False
        
for n in list(range(B-1,D)):
    if S[n] =='#' and S[n+1] == '#':
        BtoD = False
        
for n in list(range(B-2,D-1)):
    if S[n] =='.' and S[n+1] == '.' and S[n+2] == '.':
        replace = True
if C<D:
    if AtoC == True and BtoD == True:
        print('Yes')
    else:
        print('No')
else:
    if AtoC == True and BtoD == True and replace == True:
        print('Yes')
    else:
        print('No')

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

AtoC = True
BtoD = True
replace = False

for n in list(range(A-1,C)):
    if S[n] =='#' and S[n+1] =='#':
        AtoC = False
        
for n in list(range(B-1,D)):
    if S[n] =='#' and S[n+1] == '#':
        BtoD = False
        
if C<D:
    if AtoC == True and BtoD == True:
        print('Yes')
    else:
        print('No')
else:
    for n in list(range(B-2,D-1)):
        if S[n] =='.' and S[n+1] == '.' and S[n+2] == '.':
            replace = True
    if AtoC == True and BtoD == True and replace == True:
        print('Yes')
    else:
        print('No')