Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
from time import time
N = int(input())
s = list(map(int,input().split()))
s = np.array(s).astype(np.int64)

start = time()
ans = 0
for c in range(1,N-1):
    ltor = np.cumsum(s[::c])
    rtol = np.cumsum(s[N-1::-c])

    cand = np.array([A for A in range(N-1-c,c,-c) if A % c != 0 or 2*A-c >= N-1])
    if cand.size > 0:
        indexes = (N-1-cand)//c
        temp = ltor[indexes] + rtol[indexes]
        ans = max(ans,np.max(temp))

print(ans)



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

ans = 0
for c in range(1,N-1):
    ltor = [0]
    for p in s[::c]:
        ltor.append(ltor[-1] + p)
    rtol = [0]
    for p in s[N-1::-c]:
        rtol.append(rtol[-1] + p)
    A = N-1-c
    while c < A:
        if A % c == 0 and A + c * (A//c-1) < N-1:
            break
        ind = (N-1-A)//c+1
        temp = ltor[ind] + rtol[ind]
        ans = max(temp,ans)
        A -= c

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N = int(input())
s = list(map(int,input().split()))
s = np.array(s)

ans = 0
for c in range(1,N-1):
    ltor = np.cumsum(s[::c])
    rtol = np.cumsum(s[N-1::-c])
    A = N-1-c
    while c < A:
        if A % c == 0 and A + c * (A//c-1) < N-1:
            break
        temp = ltor[(N-1-A)//c] + rtol[(N-1-A)//c]
        ans = max(temp,ans)
        A -= c

print(ans)



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

ans = 0
for c in range(1,N-1):
    ltor = [0]
    for p in s[::c]:
        ltor.append(ltor[-1] + p)
    rtol = [0]
    for p in s[N-1::-c]:
        rtol.append(rtol[-1] + p)
    A = N-1-c
    while c < A:
        if A % c == 0 and A + c * (A//c-1) < N-1:
            break
        ind = (N-1-A)//c+1
        temp = ltor[ind] + rtol[ind]
        ans = max(temp,ans)
        A -= c

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N,M = map(int,input().split(' '))
A = list(map(int,input().split(' ')))
for i in [0]*M:
	b,c = map(int,input().split(' '))
	A.extend([c]*b)

A.sort(reverse=True)
print(sum(A[:N]))







Fixed submission:
N,M = map(int,input().split(' '))
A = list(map(int,input().split(' ')))
A.sort(reverse=True)
A.append(-1)


ans = 0
BC = [list(map(int,input().split(' '))) for i in [0]*M]
BC.sort(reverse=True, key= lambda x:x[1])
BC.append([0,-1])

i = 0
j = 0
k = N
while(True):
	if k <= 0:
		break
	a = A[i]
	b,c = BC[j]
	if a > c:
		k = k-1
		ans += A[i]
		i = i+1
	else:
		if b < k:
			ans += b*c
			k = k-b
			j = j+1
		else:
			ans += k*c
			break

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N,M = map(int,input().split(' '))
A = list(map(int,input().split(' ')))
BC = []
for i in [0]*M:
	#BC.append(list(map(int,input().split(' '))))
	b,c = map(int,input().split(' '))
	A.extend([c]*b)

A.sort(reverse=True)
print(sum(A[:N]))







Fixed submission:
N,M = map(int,input().split(' '))
A = list(map(int,input().split(' ')))
A.sort(reverse=True)
A.append(-1)


ans = 0
BC = [list(map(int,input().split(' '))) for i in [0]*M]
BC.sort(reverse=True, key= lambda x:x[1])
BC.append([0,-1])

i = 0
j = 0
k = N
while(True):
	if k <= 0:
		break
	a = A[i]
	b,c = BC[j]
	if a > c:
		k = k-1
		ans += A[i]
		i = i+1
	else:
		if b < k:
			ans += b*c
			k = k-b
			j = j+1
		else:
			ans += k*c
			break

print(ans)
Buggy python submission (verdict: Runtime Error):
import numpy as np
N,Q = map(int,input().split(' '))
s = input()
td = [input().split(' ') for i in [0]*Q]

l = np.array([1] * (N+2))

dic = {}

for c in s:
	if not c in dic:
		dic[c] = np.array([i for i,c2 in enumerate(s) if c == c2])

for t,d in td:
	if not t in s:
		continue
	indeces = dic[t]
	if d == 'L':
		ap = l[indeces+1]
		l[indeces+1] = 0
		l[indeces] += ap
	else:
		ap = l[indeces+1]
		l[indeces+1] = 0
		l[indeces+2] += ap

print(sum(l[1:-1]))





Fixed submission:
A,B,C = map(int,input().split(' '))

if A == B and B == C:
	print("Yes")
else:
	print("No")
Buggy python submission (verdict: Time Limit Exceeded):
N,Q = map(int, input().split(' '))
S = input()
lr = [list(map(int,input().split(' '))) for i in [0]*Q]

cnts = [S[:i].count("AC") for i in range(1,N+1)]

for l,r in lr:
	print(cnts[r-1]-cnts[l-1])




Fixed submission:
N,Q = map(int, input().split(' '))
S = input()
lr = [list(map(int,input().split(' '))) for i in [0]*Q]

#cnts = [S[:i].count("AC") for i in range(1,N+1)]
cnts = [0]*N

for i in range(1,N):
	if S[i-1:i+1] == "AC":
		cnts[i] = cnts[i-1]+1
	else:
		cnts[i] = cnts[i-1]



for l,r in lr:
	print(cnts[r-1]-cnts[l-1])
Buggy python submission (verdict: Runtime Error):
import numpy as np
N,M,C = map(int,input().split(' '))
B = np.array(list(map(int,input().split(' '))))
As = [list(map(int,input().split(' '))) for i in [0]*N]

ans = 0
for A in As:
	if np.sum(A*B) + C > 0:
		ans += 1
print(ans)


Fixed submission:
import numpy as np
N,M,C = map(int,input().split(' '))
B = np.array(list(map(int,input().split(' '))))
As = [list(map(int,input().split(' '))) for i in [0]*N]

ans = 0
for A in As:
	if np.sum(A*B) + C > 0:
		ans += 1
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
N,M = map(int,input().split(' '))
#A = []
#B = []
Drinks = []
for i in [0]*N:
	a,b = map(int,input().split(' '))
	#A.append(a)
	#B.append(b)
	Drinks+=[a]*b
Drinks.sort()
 
print(sum(Drinks[:M]))


Fixed submission:
N,M = map(int,input().split(' '))
D = []
for i in [0]*N:
	a,b = map(int,input().split(' '))
	D.append([a,b])

D.sort(key = lambda x : x[0])

ans = 0
for c, s in D:
	if s < M:
		M -= s
		ans += c * s
	else:
		ans += M * c
		break
print(ans)
Buggy python submission (verdict: Runtime Error):
import math
N=int(input())
A =list(map(int,input().split(' ')))

ans = A[0]
for i in A[1:]:
	ans = math.gcd(ans,i)
print(ans)




Fixed submission:
def gcd(a,b):
	if a == 0:
		return b
	if b == 0:
		return a
	if a < b:
		n = b//a
		return gcd(a,b-n*a)
	else:
		n = a//b
		return gcd(a-n*b,b)

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

ans = A[0]
for i in A[1:]:
	ans = gcd(ans,i)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from itertools import accumulate,zip_longest
from functools import reduce
import bisect
import sys
input = sys.stdin.readline

N,Q = map(int,input().split())
A = list(map(int,input().split()))
X = [int(input()) for i in range(Q)]

B = [2*a+1 for a in A] # right
A = [2*a for a in A] # left
X = [2*x for x in X]

S = list(accumulate(A))
T0 = accumulate(A[::2])
T1 = accumulate(A[1::2])
T = list(reduce(lambda x,y : x+y, zip_longest(T0,T1)))
if T[-1] is None:
    T.pop()

maxhigh = 10**16
for x in X:
    if x > (A[-1]+A[-2])//2:
        print(T[-1]//2)
        continue
    NG = maxhigh
    OK = 0
    R = OK
    ans = 0
    while True:
        l = x - R
        r = x + R
        li = bisect.bisect_left(A,l)
        ri = bisect.bisect_right(B,r)
        #print(l,r,li,ri)
        M = ri-li
        if ri == N-M:
            if li > 0:
                ans += T[li-1]
            break
        if ri == N-M-1:
            #print("HER",li,ri)
            li -= 1
            if li > 0:
                ans += T[li-1]
            break
        if ri < N-M:
            OK = R
            R = (R + NG)//2
        if N-M < ri:
            NG = R
            R = (R + OK)//2
        #print(l,x,r,li,ri,OK,"R",R,NG)
    #print(l,x,r,li,ri,OK,R,NG)
    if ri > 0:
        ans += S[N-1] - S[ri-1]
    else:
        ans += S[N-1]
    print(ans//2)



Fixed submission:
from itertools import accumulate,zip_longest
from functools import reduce
import bisect
import sys
input = sys.stdin.readline

N,Q = map(int,input().split())
A = list(map(int,input().split()))
X = [int(input()) for i in range(Q)]

B = [2*a+1 for a in A] # right
A = [2*a for a in A] # left
X = [2*x for x in X]

S = list(accumulate(A))
T0 = accumulate(A[::2])
T1 = accumulate(A[1::2])
T = []
for s,t in zip_longest(T0,T1):
    T.append(s)
    T.append(t)
if T[-1] is None:
    T.pop()

maxhigh = 10**16
for x in X:
    if x > (A[-1]+A[-2])//2:
        print(T[-1]//2)
        continue
    NG = maxhigh
    OK = 0
    R = OK
    ans = 0
    while True:
        l = x - R
        r = x + R
        li = bisect.bisect_left(A,l)
        ri = bisect.bisect_right(B,r)
        M = ri-li
        if ri == N-M:
            if li > 0:
                ans += T[li-1]
            break
        if ri == N-M-1:
            li -= 1
            if li > 0:
                ans += T[li-1]
            break
        if ri < N-M:
            OK = R
            R = (R + NG)//2
        if N-M < ri:
            NG = R
            R = (R + OK)//2
    if ri > 0:
        ans += S[N-1] - S[ri-1]
    else:
        ans += S[N-1]
    print(ans//2)
Buggy python submission (verdict: Runtime Error):
import numpy as np
N,K = map(int,input().split(' '))
h = []
for i in [0]*N:
	h.append(int(input()))


def sort(l):
	m = sum(l)/len(l)
	a = [x for x in l if x < m]
	b = [x for x in l if m <= x]
	if a == []:
		return b
	if b == []:
		return a
	return sort(a)+sort(b)

h = np.array(h)
sh = np.sort(h)
#sh = sort(h)
ans = max(h)
for i in range(0,N-K+1):
	s = (sh[i+K-1] - sh[i])
	if s < ans:
		ans = s
print(ans)



Fixed submission:
D = int(input())
if D is 25:
	print('Christmas')
if D is 24:
	print('Christmas Eve')
if D is 23:
	print('Christmas Eve Eve')
if D is 22:
	print('Christmas Eve Eve Eve')
Buggy python submission (verdict: Runtime Error):
N = int(input())
xyh = [list(map(int,input().split(' '))) for i in [0]*N]


ls = [[0]*101 for i in [0]*101]

cor = [[i,j] for i in range(101) for j in range(101)]

x,y,h = xyh[0]
for cx,cy in cor[:]:
	hx = abs(cx-x)
	hy = abs(cy-y)
	H = h+hx+hy
	ls[cx][cy] = H

for x,y,h in xyh[1:]:
	for cx,cy in cor[:]:
		hx = abs(cx-x)
		hy = abs(cy-y)
		H = h + hx + hy
		if not ls[cx][cy] == H:
			cor.remove([cx,cy])

cx,cy = cor[0]
print(cx,cy,ls[cx][cy])







Fixed submission:
N = int(input())
xyh = [list(map(int,input().split(' '))) for i in [0]*N]


ls = [[0]*101 for i in [0]*101]

cor = [[i,j] for i in range(101) for j in range(101)]


for cx,cy in cor:
	H = 0
	for x,y,h in xyh:
		if h != 0:
			hx = abs(cx-x)
			hy = abs(cy-y)
			H = h + hx + hy
			break
	ok = True 
	for x,y,h in xyh:
		hx = abs(cx-x)
		hy = abs(cy-y)
		if h != max(H-hx-hy,0):
			ok = False
			break
	if ok:
		break

print(cx,cy,H)

Buggy python submission (verdict: Runtime Error):
import numpy as np
N = int(input())
xyh = [list(map(int,input().split(' '))) for i in [0]*N]


ls = [[0]*101 for i in [0]*101]

cor = [[i,j] for i in range(101) for j in range(101)]

x,y,h = xyh[0]
for cx,cy in cor[:]:
	hx = abs(cx-x)
	hy = abs(cy-y)
	H = h+hx+hy
	if H <= 0:
		cor.remove([cx,cy])
	else:
		ls[cx][cy] = H

for x,y,h in xyh[1:]:
	for cx,cy in cor[:]:
		hx = abs(cx-x)
		hy = abs(cy-y)
		H = h + hx + hy
		if not ls[cx][cy] == H:
			cor.remove([cx,cy])

cx,cy = cor[0]
print(cx,cy,ls[cx][cy])







Fixed submission:
N = int(input())
xyh = [list(map(int,input().split(' '))) for i in [0]*N]


ls = [[0]*101 for i in [0]*101]

cor = [[i,j] for i in range(101) for j in range(101)]


for cx,cy in cor:
	H = 0
	for x,y,h in xyh:
		if h != 0:
			hx = abs(cx-x)
			hy = abs(cy-y)
			H = h + hx + hy
			break
	ok = True 
	for x,y,h in xyh:
		hx = abs(cx-x)
		hy = abs(cy-y)
		if h != max(H-hx-hy,0):
			ok = False
			break
	if ok:
		break

print(cx,cy,H)
Buggy python submission (verdict: Time Limit Exceeded):
MOD = 10**9 + 7
S = input()

l = len(S)
nAB = [0]*(l+1)
nA = [0]*(l+1)
nB = [0]*(l+1)
nC = [0]*(l+1)
nABC = [0]*(l+1)

q = 0
for i,s in enumerate(S):
    if s == '?':
        nA[i+1] = 3*nA[i] + (3**q % MOD)
        nB[i+1] = 3*nB[i] + (3**q & MOD)
        nC[i+1] = 3*nC[i] + (3**q & MOD)
        nAB[i+1] = 3*nAB[i] + nA[i]
        nABC[i+1] = 3*nABC[i] + nAB[i]
        q += 1
    if s == 'A':
        nA[i+1] = nA[i] + (3**q % MOD)
        nB[i+1] = nB[i]
        nC[i+1] = nC[i]
        nAB[i+1] = nAB[i]
        nABC[i+1] = nABC[i]
    if s == 'B':
        nA[i+1] = nA[i]
        nB[i+1] = nB[i] + (3**q % MOD)
        nC[i+1] = nC[i]
        nAB[i+1] = nAB[i] + nA[i]
        nABC[i+1] = nABC[i]
    if s == 'C':
        nA[i+1] = nA[i]
        nB[i+1] = nB[i]
        nC[i+1] = nC[i] + (3**q % MOD)
        nAB[i+1] = nAB[i]
        nABC[i+1] = nABC[i] + nAB[i]
    nA[i+1] = nA[i+1] % MOD
    nB[i+1] = nB[i+1] % MOD
    nC[i+1] = nC[i+1] % MOD
    nAB[i+1] = nAB[i+1] % MOD
    nABC[i+1] = nABC[i+1] % MOD

print(nABC[l] % MOD)



Fixed submission:
MOD = 10**9 + 7
S = input()

l = len(S)
nAB = [0]*(l+1)
nA = [0]*(l+1)
nB = [0]*(l+1)
nC = [0]*(l+1)
nABC = [0]*(l+1)

add = 1
for i,s in enumerate(S):
    if s == '?':
        nA[i+1] = 3*nA[i] + add
        nB[i+1] = 3*nB[i] + add
        nC[i+1] = 3*nC[i] + add
        nAB[i+1] = 3*nAB[i] + nA[i]
        nABC[i+1] = 3*nABC[i] + nAB[i]
        add = (add * 3) % MOD
    if s == 'A':
        nA[i+1] = nA[i] + add
        nB[i+1] = nB[i]
        nC[i+1] = nC[i]
        nAB[i+1] = nAB[i]
        nABC[i+1] = nABC[i]
    if s == 'B':
        nA[i+1] = nA[i]
        nB[i+1] = nB[i] + add
        nC[i+1] = nC[i]
        nAB[i+1] = nAB[i] + nA[i]
        nABC[i+1] = nABC[i]
    if s == 'C':
        nA[i+1] = nA[i]
        nB[i+1] = nB[i]
        nC[i+1] = nC[i] + add
        nAB[i+1] = nAB[i]
        nABC[i+1] = nABC[i] + nAB[i]
    nA[i+1] = nA[i+1] % MOD
    nB[i+1] = nB[i+1] % MOD
    nC[i+1] = nC[i+1] % MOD
    nAB[i+1] = nAB[i+1] % MOD
    nABC[i+1] = nABC[i+1] % MOD

print(nABC[l] % MOD)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
from collections import defaultdict
from itertools import compress 
N = int(input())
S = input()
S1,S2 = S[:N],S[N:]

Ls = defaultdict(lambda : defaultdict(int))
Rs = defaultdict(lambda : defaultdict(int))

def int2bin(x,N): 
    res = [0]*N
    for i in range(N):
        res[N-1-i] = x % 2
        x >>= 1
    return res

for i in range(2**N):
    bs = int2bin(i,N)
    n = sum(bs)
    R = ""
    L = ""
    for s,b in zip(S1,bs):
        if b == 1:
            R += s
        else:
            L += s
    Ls[n][(R,L[::-1])] += 1
    R = ""
    L = ""
    for s,b in zip(S2,bs):
        if b == 1:
            R += s
        else:
            L += s
    Rs[n][(R,L[::-1])] += 1

ans = 0
for i in range(N+1):
    for (lr,lb),n in Ls[i].items():
        for (rr,rb),m in Rs[N-i].items():
            if lr+rr == rb+lb:
                ans += n*m

print(ans)







Fixed submission:
import sys
input = sys.stdin.readline
from collections import defaultdict
from itertools import compress 
N = int(input())
S = input().strip()
#N = 18
#S = 'abc' * 12
S1 = S[:N]
S2 = S[N:][::-1]

Ls = defaultdict(lambda : defaultdict(int))

def int2bin(x,N): 
    res = [0]*N
    for i in range(N):
        res[N-1-i] = x % 2
        x >>= 1
    return res

for i in range(2**N):
    bs = int2bin(i,N)
    n = sum(bs)
    R = ""
    B = ""
    for s,b in zip(S1,bs):
        if b == 1:
            R += s
        else:
            B += s
    Ls[n][(R,B[::-1])] += 1

ans = 0
for i in range(2**N):
    bs = int2bin(i,N)
    n = sum(bs)
    R = ""
    B = ""
    for s,b in zip(S2,bs):
        if b == 1:
            B += s
        else:
            R += s
    R = R[::-1]
    ans += Ls[n][(B,R)]

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
from collections import defaultdict, deque
from itertools import accumulate
n,m,s,t= map(int,input().split())
uvab = [list(map(int,input().split())) for i in range(m)]

g = defaultdict(list)
c = {}
for i in range(1,n+1):
    g[i].append(n+i)
    c[(i,n+i)] = 0
for u,v,a,b in uvab:
    g[u].append(v)
    g[v].append(u)
    g[n+u].append(n+v)
    g[n+v].append(n+u)
    c[(u,v)] = a
    c[(v,u)] = a
    c[(n+u,n+v)] = b
    c[(n+v,n+u)] = b

inf = 10**15
ds2t = [inf for i in range(2*n+1)]
ds2t[s] = 0

dq = deque([s])
while dq:
    v = dq.popleft()
    for nv in g[v]:
        if ds2t[nv] > ds2t[v] + c[(v,nv)]:
            ds2t[nv] = ds2t[v] + c[(v,nv)]
            dq.append(nv)


dt2s = [inf for i in range(2*n+1)]
dt2s[n+t] = 0

dq = deque([n+t])
while dq:
    v = dq.popleft()
    for nv in g[v]:
        if dt2s[nv] > dt2s[v] + c[(v,nv)]:
            dt2s[nv] = dt2s[v] + c[(v,nv)]
            dq.append(nv)

ds = []
for i in range(1,n+1):
    ds.append(ds2t[i] + dt2s[n+i])

ds = accumulate(ds[::-1], min)

for d in reversed(list(ds)): 
    print(10**15-d)




Fixed submission:
import sys
input = sys.stdin.readline
from collections import defaultdict, deque
from itertools import accumulate
n,m,s,t= map(int,input().split())
uvab = [list(map(int,input().split())) for i in range(m)]

g = defaultdict(list)
c = {}
'''
for i in range(1,n+1):
    g[i].append(n+i)
    c[(i,n+i)] = 0
    '''
for u,v,a,b in uvab:
    g[u].append(v)
    g[v].append(u)
    g[n+u].append(n+v)
    g[n+v].append(n+u)
    c[(u,v)] = a
    c[(v,u)] = a
    c[(n+u,n+v)] = b
    c[(n+v,n+u)] = b

inf = 10**15
ds2t = [inf for i in range(2*n+1)]
ds2t[s] = 0

dq = deque([s])
while dq:
    v = dq.popleft()
    for nv in g[v]:
        if ds2t[nv] > ds2t[v] + c[(v,nv)]:
            ds2t[nv] = ds2t[v] + c[(v,nv)]
            dq.append(nv)


dt2s = [inf for i in range(2*n+1)]
dt2s[n+t] = 0

dq = deque([n+t])
while dq:
    v = dq.popleft()
    for nv in g[v]:
        if dt2s[nv] > dt2s[v] + c[(v,nv)]:
            dt2s[nv] = dt2s[v] + c[(v,nv)]
            dq.append(nv)

ds = []
for i in range(1,n+1):
    ds.append(ds2t[i] + dt2s[n+i])

ds = accumulate(ds[::-1], min)

for d in reversed(list(ds)): 
    print(10**15-d)
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline
Q = int(input())
AB = [list(map(int,input().split())) for i in range(Q)]

for A,B in AB:
    M = A*B
    A,B = sorted([A,B])
    ans = 0
    i = 1
    b = int(pow(M,0.5))
    if b == B:
        b -= 1
    #print(A,B,b)
    ans += (M-1)//b - A
    ans += b-1
    ans += A-1
    print(ans)


Fixed submission:
import sys
input = sys.stdin.readline
Q = int(input())
AB = [list(map(int,input().split())) for i in range(Q)]

small_case = {(1,1):0, (1,2):0}
for A,B in AB:
    M = A*B
    A,B = sorted([A,B])
    if (A,B) in small_case:
        print(small_case[(A,B)])
        continue
    ans = 0
    i = 1
    b = int(pow(M,0.5))
    if b == B:
        b -= 1
    ans += (M-1)//b - A
    ans += b-1
    ans += A-1
    print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np
N = int(input())

a = np.array(list(map(int,input().split())))
b = np.array(list(map(int,input().split())))
carries = [0]*30
for i in range(1,30):
    thres = pow(2,i)
    ra = np.sort(thres - (a % thres))
    rb = np.sort(b % thres)
    r = sum([N-np.searchsorted(rb,a) for a in ra])
    carries[i] = r

ans = 0
i = 0
for i in range(30):
    a1 = np.sum(a % 2)
    a0 = N - a1
    b1 = np.sum(b % 2)
    b0 = N - b1
    ans += ((a1*b0 + a0*b1 + carries[i]) % 2) << i
    a //= 2
    b //= 2
print(ans)
    










Fixed submission:
import numpy as np
N = int(input())

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

carries = [0]*30
for i in range(1,30):
    thres = pow(2,i)
    ra = np.sort(thres - (a % thres))
    rb = np.sort(b % thres)
    #r = sum([N-np.searchsorted(rb,a) for a in ra])
    r = np.sum(N-np.searchsorted(rb,ra))
    carries[i] = r

ans = 0
i = 0
for i in range(30):
    a1 = np.sum(a % 2)
    a0 = N - a1
    b1 = np.sum(b % 2)
    b0 = N - b1
    ans += ((a1*b0 + a0*b1 + carries[i]) % 2) << i
    a //= 2
    b //= 2

print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
input = sys.stdin.readline
N = int(input())
A = list(map(int,input().split()))

cand = [(0,N)]

ans = 0
while cand:
    temp = []
    for l,r in cand:
        m = min(A[l:r])
        i = A[l:r].index(m) + l
        ans += m * (i-l+1) * (r-i)
        if l < i:
            temp.append([l,i])
        if i+1 < r:
            temp.append([i+1,r])
    cand = temp

print(ans)




Fixed submission:
import sys
input = sys.stdin.readline
N = int(input())
A = list(map(int,input().split()))

class SegmentTree:
    def __init__(self,data,op,default):
        N = len(data)
        self.N = N
        self.op = op
        self.default = default
        self.l = 2**((N-1).bit_length())
        self.data = [default]*self.l + data + [default]*(self.l-N)
        for i in range(self.l-1,0,-1):
            self.data[i] = op(self.data[2*i], self.data[2*i+1])

    def get_data(self):
        return self.data[self.l:self.l + self.N]

    def set(self,i,val):
        i += self.l
        self.data[i] = val
        i = i//2
        while i > 0:
            self.data[i] = self.op(self.data[2*i], self.data[2*i+1])
            i = i//2

    def get(self,i,j):
        i += self.l
        j += self.l
        s = self.default 
        while j-i > 0:
            if i & 1:
                s = self.op(s,self.data[i])
                i += 1
            if j & 1:
                s = self.op(s,self.data[j-1])
                j -= 1
            i = i//2
            j = j//2
        return s

AI = [(a,i) for i,a in enumerate(A)]

inf = 10**10
seg = SegmentTree(AI,min,(inf,inf))

cand = [(0,N)]

ans = 0
while cand:
    temp = []
    for l,r in cand:
        m, i = seg.get(l,r)
        ans += m * (i-l+1) * (r-i)
        if l < i:
            temp.append([l,i])
        if i+1 < r:
            temp.append([i+1,r])
    cand = temp

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

ans = 0
for i in range(10):
    for j in range(10):
        for k in range(10):
            flag = 0
            for c in s:
                p = flag == 0 and c == str(i)
                q = flag == 1 and c == str(j)
                r = flag == 2 and c == str(k)
                if p or q or r:
                    flag += 1
            if flag == 3:
                ans += 1
print(ans)


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

ans = 0
for i in range(10):
    for j in range(10):
        for k in range(10):
            flag = 0
            for c in s:
                p = flag == 0 and c == str(i)
                q = flag == 1 and c == str(j)
                r = flag == 2 and c == str(k)
                if p or q or r:
                    flag += 1
            if flag == 3:
                ans += 1
print(ans)
Buggy python submission (verdict: Runtime Error):
import math

a, b = map(int, input().split())

g = math.gcd(a, b)

ans = 0
i = 2
while i * i <= g:
    if g % i == 0:
        ans += 1
        while g % i == 0:
            g //= i
    i += 1

if g > 1:
    ans += 1

print(ans + 1)

Fixed submission:
import fractions

a, b = map(int, input().split())

g = fractions.gcd(a, b)

ans = 0
i = 2
while i * i <= g:
    if g % i == 0:
        ans += 1
        while g % i == 0:
            g //= i
    i += 1

if g > 1:
    ans += 1

print(ans + 1)
Buggy python submission (verdict: Runtime Error):
A=int(input())
B=int(input())
C=int(input())
X=int(input())
ans = 0
for i in range(A):
  for j in range(B):
    for k in range(C):
      if 500*i+100+j+50*k==X:
        ans++
print(ans)

Fixed submission:
A=int(input())
B=int(input())
C=int(input())
X=int(input())
ans = 0
for i in range(A+1):
  for j in range(B+1):
    for k in range(C+1):
      if 500*i+100*j+50*k==X:
        ans+=1
print(ans)