Harryxun/testdata huggingface dataset:
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):
            p = [i, j, k]
            idx = 0
            for l in range(n):
                if int(s[l]) == p[idx]:
                    idx += 1
                if idx == 3:
                    break
            if idx == 3:
                ans += 1
print(ans)


Fixed submission:
n = int(input())
s = input()
a = [set(), set(), set()]
for i in range(n):
    for j in a[1]:
        a[2].add(j + s[i])
    for j in a[0]:
        a[1].add(j + s[i])
    a[0].add(s[i])
print(len(a[2]))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = input()
ans = 0
for i in range(1000):
    p = [i // 100, (i // 10) % 10 , i % 10]
    idx = 0
    for j in range(n):
        if int(s[j]) == p[idx]:
            idx += 1
        if idx == 3:
            break
    if idx == 3:
        ans += 1
print(ans)


Fixed submission:
n = int(input())
s = input()
a = [set(), set(), set()]
for i in range(n):
    for j in a[1]:
        a[2].add(j + s[i])
    for j in a[0]:
        a[1].add(j + s[i])
    a[0].add(s[i])
print(len(a[2]))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = input()
ans = 0
for i in range(1000):
    p = [i // 100, (i // 10) % 10 , i % 10]
    idx = 0
    for j in range(n):
        if int(s[j]) == p[idx]:
            idx += 1
        if idx == 3:
            break
    if idx == 3:
        ans += 1
print(ans)


Fixed submission:
n = int(input())
s = input()
a = [set(), set(), set()]
for i in range(n):
    for j in a[1]:
        a[2].add(j + s[i])
    for j in a[0]:
        a[1].add(j + s[i])
    a[0].add(s[i])
print(len(a[2]))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = input()
ans = 0
for i in range(1000):
    p = [i // 100, (i // 10) % 10 , i % 10, -1]
    idx = 0
    for j in range(n):
        if int(s[j]) == p[idx]:
            idx += 1
    if idx == 3:
        ans += 1
print(ans)


Fixed submission:
n = int(input())
s = input()
a = [set(), set(), set()]
for i in range(n):
    for j in a[1]:
        a[2].add(j + s[i])
    for j in a[0]:
        a[1].add(j + s[i])
    a[0].add(s[i])
print(len(a[2]))

Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
s = input()
ans = 0
for i in range(1000):
    p = [i // 100, (i // 10) % 10 , i % 10, -1]
    idx = 0
    for j in range(n):
        if int(s[j]) == p[idx]:
            idx += 1
    if idx == 3:
        ans += 1
print(ans)


Fixed submission:
n = int(input())
s = input()
a = [set(), set(), set()]
for i in range(n):
    for j in a[1]:
        a[2].add(j + s[i])
    for j in a[0]:
        a[1].add(j + s[i])
    a[0].add(s[i])
print(len(a[2]))
Buggy python submission (verdict: Time Limit Exceeded):
n = int(input())
l = list(map(int, input().split()))
l.sort()
ans = 0
for i in range(n):
    for j in range(i + 1, n):
        ok, ng = j, n
        while ng - ok > 1:
            mid = (ok + ng) // 2
            if l[mid] < l[i] + l[j]:
                ok = mid
            else:
                ng = mid
        ans += ok - j
print(ans)

Fixed submission:
n = int(input())
l = list(map(int, input().split()))
l.sort()
ans = 0
for i in range(n):
  for j in range(i + 1, n):
    lf = j
    rf = n
    while rf - lf > 1:
      md = (lf + rf) // 2
      if l[md] < l[i] + l[j]:
        lf = md
      else:
        rf = md
    ans += lf - j
    #print(i, j, ans)
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
import heapq

n, m = map(int, input().split())
a = list(map(int, input().split()))
pq = []
for i in range(n):
    pq.append((-a[i], -a[i], 0))
heapq.heapify(pq)
for i in range(m):
    mx = heapq.heappop(pq)
    if -mx[1] < (2 ** (mx[2] + 1)): heapq.heappush(pq, (0, mx[1], mx[2] + 1))
    else: heapq.heappush(pq, (-(-mx[1] // (2 ** (mx[2] + 1))), mx[1], mx[2] + 1))
ans = 0
while len(pq) != 0:
    ans -= heapq.heappop(pq)[0]
print(ans)
"""
import heapq
a = [(3, 0), (1, 0), (2, 2), (6, 4)]
#listのheap化
#heapはsortではないので順番は割とあべこべになる。最小値は先頭
heapq.heapify(a)
print(a)

#挿入
heapq.heappush(a, (3, 3))
print(a)

#最小値を削除&出力
print(heapq.heappop(a))
print(a)
"""

Fixed submission:
import heapq

n, m = map(int, input().split())
a = list(map(int, input().split()))
pq = []
for i in range(n):
    pq.append((-a[i], -a[i], 0))
heapq.heapify(pq)
for i in range(m):
    if len(pq) == 0: break
    mx = heapq.heappop(pq)
    if -mx[1] >= (2 ** (mx[2] + 1)): heapq.heappush(pq, (-(-mx[1] // (2 ** (mx[2] + 1))), mx[1], mx[2] + 1))
ans = 0
while len(pq) != 0:
    ans -= heapq.heappop(pq)[0]
print(ans)
Buggy python submission (verdict: Runtime Error):
print(int(input()**3))

Fixed submission:
print(int(input())**3)
Buggy python submission (verdict: Runtime Error):
a,b=map(input().split())
print((a+b)//2 if (a+b)%2==0 else "IMPOSSIBLE")

Fixed submission:
a,b=map(int,input().split())
print((a+b)//2 if (a+b)%2==0 else "IMPOSSIBLE")
Buggy python submission (verdict: Runtime Error):
n, m = map(int, input().split())
s = []
for i in range(m):
    st = list(map(int, input().split()))
    s.append(st[1 :])
p = list(map(int, input().split()))

ans = 0
for i in range(1 << n):
    v = [1 - i for i in p]
    for j in range(m):
        if (i & (1 << j)):
            for t in s[j]:
                v[t - 1] = 1 - v[t - 1]
    if sum(v) == m:
        ans += 1
    #print(i, v)
print(ans)


Fixed submission:
n, m = map(int, input().split())
s = []
for i in range(m):
    st = list(map(int, input().split()))
    s.append(st[1 :])
p = list(map(int, input().split()))

ans = 0
for i in range(1 << n):
    al = True
    v = [bool(i & (1 << x)) for x in range(n)]
    for j in range(m):
        num = 0
        for t in s[j]:
            num += v[t - 1]
        if p[j] != num % 2:
            al = False
    ans += al
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
from collections import deque

h, w = map(int, input().split())
c = []
d = [[-1 for i in range(w)] for j in range(h)]
q = deque()
for i in range(h):
	s = input()
	c.append(s)
	for j in range(w):
		if c[i][j] == '#':
			q.append([i, j, 0])
			d[i][j] = 0

dirr = [[1, 0], [0, 1], [-1, 0], [0, -1]]

while len(q) != 0:
	y, x, z = q[0]

	for i in range(4):
		ny, nx = y + dirr[i][0], x + dirr[i][1]
		if 0 <= ny < h and 0 <= nx < w and d[ny][nx] == -1 and c[ny][nx] != "#":
			q.append([ny, nx, z + 1])
			d[ny][nx] = z + 1

	q.popleft()

print(z)



Fixed submission:
from collections import deque

h, w = map(int, input().split())
c = []
d = [[-1 for i in range(w)] for j in range(h)]
q = deque()
for i in range(h):
	s = input()
	c.append(s)
	for j in range(w):
		if c[i][j] == '#':
			q.append([i, j, 0])
			d[i][j] = 0

dirr = [[1, 0], [0, 1], [-1, 0], [0, -1]]

while len(q) != 0:
	y, x, z = q[0]

	for i in range(4):
		ny, nx = y + dirr[i][0], x + dirr[i][1]
		if 0 <= ny < h and 0 <= nx < w and d[ny][nx] == -1 and c[ny][nx] != "#":
			q.append([ny, nx, z + 1])
			d[ny][nx] = z + 1

	q.popleft()

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

inf = 1e18
dp = [inf] * (n + 10)
dp[0] = 0
for i in range(1, n):
    for j in range(1, k + 1):
        if i - j >= 0:
            dp[i] = min(dp[i], dp[i - j] + abs(h[i] - h[i - j]))
print(dp[n - 1])


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

dp = [0] * (n + 10)
dp[1] = abs(h[1] - h[0])
for i in range(2, n):
    dp[i] = min(dp[i - 1] + abs(h[i] - h[i - 1]), dp[i - 2] + abs(h[i] - h[i - 2]))
print(dp[n - 1])

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

dp = [0] * (n + 10)
dp[1] = abs(h[1] - h[0])
for i in range(2, n):
    dp[i] = min(dp[i - 1] + abs(h[i] - h[i - 1]), dp[i - 2] + abs(h[i] - h[i - 2]))              dp[i - 2] + abs(h[i] - h[i - 2]))
print(dp[n - 1])


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

dp = [0] * (n + 10)
dp[1] = abs(h[1] - h[0])
for i in range(2, n):
    dp[i] = min(dp[i - 1] + abs(h[i] - h[i - 1]), dp[i - 2] + abs(h[i] - h[i - 2]))
print(dp[n - 1])

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

dp = [0] * (n + 10)
dp[1] = abs(h[1] - h[0])
for i in range(2, n):
    dp[i] = min(dp[i - 1] + abs(h[i] - h[i - 1]),                 dp[i - 2] + abs(h[i] - h[i - 2]))
print(dp[n - 1])


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

dp = [0] * (n + 10)
dp[1] = abs(h[1] - h[0])
for i in range(2, n):
    dp[i] = min(dp[i - 1] + abs(h[i] - h[i - 1]), dp[i - 2] + abs(h[i] - h[i - 2]))
print(dp[n - 1])
Buggy python submission (verdict: Time Limit Exceeded):
n, k = map(int, input().split())
h = list(map(int, input().split()))

inf = 1e18
dp = [inf] * (n + 10)
dp[0] = 0
for i in range(1, n):
    for j in range(1, k + 1):
        if i - j >= 0:
            dp[i] = min(dp[i], dp[i - j] + abs(h[i] - h[i - j]))
print(dp[n - 1])


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

inf = 1e18
dp = [inf] * (n + 10)
dp[0] = 0
for i in range(1, n):
    for j in range(1, k + 1):
        if i - j >= 0:
            dp[i] = min(dp[i], dp[i - j] + abs(h[i] - h[i - j]))
print(dp[n - 1])
Buggy python submission (verdict: Runtime Error):
# n <= 10**5
n = int(input())
# vi <= 10**5
v = list(map(int, input().split()))
a = [[0, 0] for _ in range(100010)]
for i in range(n):
    a[i % 2][v[i]] += 1

od, ev = [], []
for i in range(100010):
    od.append([a[1][i], i])
    ev.append([a[0][i], i])
od.sort()
od.reverse()
ev.sort()
ev.reverse()
if od[0][1] != ev[0][1]: print(n - od[0][0] - ev[0][0])
else: print(n - max(od[0][0] + ev[[0][1], od[1][0] + ev[0][0]))

Fixed submission:
import itertools
"""
n = int(input())
m, a, r, c, h = [0] * 5
for i in range(n):
    s = input()
    if s[0] == "M": m += 1
    if s[0] == "A": a += 1
    if s[0] == "R": r += 1
    if s[0] == "C": c += 1
    if s[0] == "H": h += 1
x = [m, a, r, c, h]
y = ["M", "A", "R", "C", "H"]
ans = 0
for i in itertools.combinations(x, 3):
    ans += i[0] * i[1] * i[2]
print(ans)
"""

# n <= 10**5
n = int(input())
# vi <= 10**5
v = list(map(int, input().split()))
a = [[0] * 100010 for _ in range(2)]
for i in range(n):
    a[i % 2][v[i]] += 1

od, ev = [], []
for i in range(100010):
    od.append([a[1][i], i])
    ev.append([a[0][i], i])
od.sort()
od.reverse()
ev.sort()
ev.reverse()
if od[0][1] != ev[0][1]: print(n - od[0][0] - ev[0][0])
else: print(n - max(od[0][0] + ev[1][0], od[1][0] + ev[0][0]))
Buggy python submission (verdict: Runtime Error):
import math
N, X = map(int, input().split())
x = list(map(int, input().split()))
x.append(X)
x.sort()
y = []
for i in range(N):
    y.append(x[i + 1] - x[i])
y.sort()
ans = math.gcd(y[0], y[1])
for i in range(2, len(y)):
    ans = math.gcd(ans, y[i])
print(ans)

Fixed submission:
import fractions
N, X = map(int, input().split())
x = list(map(int, input().split()))
ans = abs(x[0] - X)
for i in range(1, N):
    ans = fractions.gcd(ans, abs(x[i] - X))
print(ans)
Buggy python submission (verdict: Runtime Error):
解答例
R = int(input())

if R < 1200:
	print("ABC")
elif R < 2800:
	print("ARC")
else:
	print("AGC")


Fixed submission:
R = int(input())

if R < 1200:
	print("ABC")
elif R < 2800:
	print("ARC")
else:
	print("AGC")

Buggy python submission (verdict: Runtime Error):
R = int(input())

if R < 1200:
	print(“ABC”)
elif R < 2800:
	print(“ARC”)
else:
	print(“AGC”)


Fixed submission:
R = int(input())

if R < 1200:
	print("ABC")
elif R < 2800:
	print("ARC")
else:
	print("AGC")
Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
B = [0] * 100000
ans = 0
for i in range(N):
	if A[i] <= 100000:
		B[A[i]] += 1
	else:
		ans += 1
for i in range(100001):
	if B[i] < i:
		ans += B[i]
	else:
		ans += B[i] - i
print(ans)
	


Fixed submission:
N = int(input())
A = list(map(int, input().split()))
B = [0] * 100001
ans = 0
for i in range(N):
	if A[i] <= 100000:
		B[A[i]] += 1
	else:
		ans += 1
for i in range(100001):
	if B[i] < i:
		ans += B[i]
	else:
		ans += B[i] - i
print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
B = [0] * 200000
ans = 0
for i in range(N):
	if A[i] < 200000:
		B[A[i]] += 1
	else:
		ans += 1
for i in range(200000):
  	if B[i] >= i:
	    ans += B[i] - i
	else:
    	ans += B[i]
print(ans)
	


Fixed submission:
N = int(input())
A = list(map(int, input().split()))
B = [0] * 100001
ans = 0
for i in range(N):
	if A[i] <= 100000:
		B[A[i]] += 1
	else:
		ans += 1
for i in range(100001):
	if B[i] < i:
		ans += B[i]
	else:
		ans += B[i] - i
print(ans)

Buggy python submission (verdict: Runtime Error):
N = int(input())
A = list(map(int, input().split()))
B = [0] * 200000
ans = 0
for i in range(N):
	if A[i] < 200000:
		B[A[i]] += 1
	else:
		ans += 1
for i in range(200000):
	ans += min(B[i], abs(i – B[i]))
print(ans)
	


Fixed submission:
N = int(input())
A = list(map(int, input().split()))
B = [0] * 100001
ans = 0
for i in range(N):
	if A[i] <= 100000:
		B[A[i]] += 1
	else:
		ans += 1
for i in range(100001):
	if B[i] < i:
		ans += B[i]
	else:
		ans += B[i] - i
print(ans)
Buggy python submission (verdict: Runtime Error):
H, W = map(int, input().split())
S = []
for _ in range(H):
    S.append(list(input()))

d = [[1, 0], [1, 1], [0, 1], [-1, 1], [-1, 0], [-1, -1], [0, -1], [1, -1]]
for i in range(H):
    for j in range(W):
        if S[i][j] == '.':
            cnt = 0
            for r in range(8):
                x = i + d[r][0]
                y = j + d[r][1]
                if 0 <= x < W and 0 <= y < H and S[x][y] == '#':
                    cnt = cnt + 1
            S[i][j] = str(cnt)

for i in range(H):
    print(''.join(S[i]))


Fixed submission:
H, W = map(int, input().split())
S = []
for _ in range(H):
    S.append(list(input()))

d = [[1, 0], [1, 1], [0, 1], [-1, 1], [-1, 0], [-1, -1], [0, -1], [1, -1]]
for i in range(H):
    for j in range(W):
        if S[i][j] == '.':
            cnt = 0
            for r in range(8):
                y = i + d[r][0]
                x = j + d[r][1]
                if 0 <= x < W and 0 <= y < H and S[y][x] == '#':
                        cnt = cnt + 1
            S[i][j] = str(cnt)

for i in range(H):
    print(''.join(S[i]))
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
A = []
for _ in range(N):
    A.append(int(input()))
A.sort()
ans = 0
idx = 0
while idx < N:
    sub = 0
    while idx + sub < N and A[idx] == A[idx + sub]:
        sub = sub + 1
    if sub % 2 == 1:
        ans = ans + 1
print(ans)

Fixed submission:
N = int(input())
A = []
for _ in range(N):
    A.append(int(input()))
A.sort()
ans = 0
idx = 0
while idx < N:
    sub = 0
    while idx + sub < N and A[idx] == A[idx + sub]:
        sub = sub + 1
    if sub % 2 == 1:
        ans = ans + 1
    idx = idx + sub
print(ans)
Buggy python submission (verdict: Runtime Error):
n = int(input())
a = list(map(int, input().split()))
a.sort(reverse = True)

r = []
i = 0
while i < n:
    if a[i] == a[i + 1]:
        r.append(a[i])
        i += 2
    else:
        i += 1
    if len(r) == 2:
        break
if len(r) == 2:
    print(r[0] * r[1])
else:
    print(0)

Fixed submission:
n = int(input())
a = list(map(int, input().split()))
a.sort(reverse = True)

r = []
i = 0
while i < n:
    if i < n - 1 and a[i] == a[i + 1]:
        r.append(a[i])
        i += 2
    else:
        i += 1
    if len(r) == 2:
        break
if len(r) == 2:
    print(r[0] * r[1])
else:
    print(0)
Buggy python submission (verdict: Runtime Error):
n = int(input())
G = [[] for _ in range(n)] 
for i in range(n - 1):
    a, b, c = map(int, input().split())
    a -= 1
    b -= 1
    G[a].append([b, c])
    G[b].append([a, c])

vis = [False] * n
d = [-1] * n
def dfs(k, depth):
    vis[k] = True
    d[k] = depth
    for i in G[k]: # i: [to, cost]
        if not vis[i[0]]: dfs(i[0], depth + i[1])

q, k = map(int, input().split())
dfs(k - 1, 0)

for i in range(q):
    x, y = map(int, input().split())
    print(d[x - 1] + d[y - 1])

Fixed submission:
from collections import deque
n = int(input())
G = [deque([]) for _ in range(n)]
for i in range(n - 1):
    a, b, c = map(int, input().split())
    a -= 1
    b -= 1
    G[a].append([b, c])
    G[b].append([a, c])
dist = [-1] * n

def dfs(v):
    cnt = 0
    stack = [[v, 0]]
    while stack:
        x = stack[-1]
        if len(G[x[0]]) > 0:
            w = G[x[0]].popleft()
            if dist[w[0]] == -1:
                dist[w[0]] = w[1] + dist[x[0]]
                stack.append(w)
        else: stack.pop()

q, k = map(int, input().split())
k -= 1
dist[k] = 0
dfs(k)
for i in range(q):
    x, y = map(int, input().split())
    print(dist[x - 1] + dist[y - 1])
#print(dist)
Buggy python submission (verdict: Runtime Error):
# AFTER CONTEST

def solve(k):
    if k % 7 == 0:
        k //= 7

    if k % 2 == 0 or k % 5 == 0:
        return -1

    # Min i s.t. k | R(i)
    # by pigeonhole, there exists such i <= k
    r = 1
    for i in range(1, k + 1):
        if r == 0:
            return i
        r = (1 + 10 * r) % k
    raise RuntimeError()


def main(istr, ostr):
    k, = list(map(int, istr.readline().strip().split()))
    result = solve(k)
    print(result, file=ostr)


if __name__ == "__main__":
    import sys

    main(sys.stdin, sys.stdout)


Fixed submission:
# AFTER CONTEST


def solve(n):
    if n % 7 == 0:
        n //= 7

    if n % 2 == 0 or n % 5 == 0:
        return -1

    # Since R(k) = 1...1 = (10^k - 1) / 9, we have
    #   n | R(k)
    #   <=> 10^k = 1 ∈ Z_9n
    n9 = n * 9
    d = 10 % n9
    for i in range(n9):
        if d == 1:
            return i + 1
        d = (10 * d) % n9
    raise RuntimeError()


def main(istr, ostr):
    (k,) = list(map(int, istr.readline().strip().split()))
    result = solve(k)
    print(result, file=ostr)


if __name__ == "__main__":
    import sys

    main(sys.stdin, sys.stdout)
Buggy python submission (verdict: Runtime Error):
# AFTER EDITORIAL


def solve(ls):
    import math

    x, y, *ls = ls
    z = x + y
    s = 0
    for a in ls:
        s ^= a

    #
    # Max a <= x  s.t.
    #   0 = NimSum(a, (x + y) - a, ls)
    # <=>
    # Max a <= x s.t.
    #   ∃b.
    #     a + b = x + y  (NOTE: a + b = a ^ b + 2 (a & b))
    #     a ^ b = NimSum(ls)
    # <=>
    # Max a <= x s.t.
    #   ∃b.
    #     a & b = (x + y - NimSum(ls)) / 2
    #     a ^ b = NimSum(ls)
    #

    #
    # Thus it amounts to solve
    #   a ^ b = s
    #   a & b = (z - S) / 2 = t
    #
    # which is bit-wise independent as
    #   a  b  ^  &
    #   0  0  0  0
    #   0  1  1  0
    #   1  0  1  0
    #   1  1  0  1
    #

    if (z - s) < 0 or (z - s) % 2 == 1:
        return -1

    t = (z - s) // 2
    s_t = s & t

    if s_t > 0 or t > x:
        return -1

    a = t
    b = t
    first_set = math.floor(math.log2(s))
    for i in range(first_set + 1)[::-1]:
        k = 1 << i
        if s & k:
            if (a | k) <= x:  # Greedy is optimal
                a = a | k
            else:
                b = b | k
    return x - a


def main(istr, ostr):
    n = int(istr.readline().strip())
    ls = list(map(int, istr.readline().strip().split()))
    result = solve(ls)
    print(result, file=ostr)


if __name__ == "__main__":
    import sys

    main(sys.stdin, sys.stdout)


Fixed submission:
# AFTER EDITORIAL


def solve(ls):
    import math

    x, y, *ls = ls
    z = x + y
    s = 0
    for a in ls:
        s ^= a

    #
    # Max a <= x  s.t.
    #   0 = NimSum(a, (x + y) - a, ls)
    # <=>
    # Max a <= x s.t.
    #   ∃b.
    #     a + b = x + y  (NOTE: a + b = a ^ b + 2 (a & b))
    #     a ^ b = NimSum(ls)
    # <=>
    # Max a <= x s.t.
    #   ∃b.
    #     a & b = (x + y - NimSum(ls)) / 2
    #     a ^ b = NimSum(ls)
    #

    #
    # Thus it amounts to solve
    #   a ^ b = s
    #   a & b = (z - s) / 2 = t
    #
    # which is bit-wise independent as
    #   a  b  ^  &
    #   0  0  0  0
    #   0  1  1  0
    #   1  0  1  0
    #   1  1  0  1
    #

    if (z - s) < 0 or (z - s) % 2 == 1:
        return -1

    t = (z - s) // 2
    s_t = s & t

    if s_t > 0 or t > x:
        return -1

    a = t
    b = t
    first_set = math.floor(math.log2(s + 1))
    for i in range(first_set + 1)[::-1]:
        k = 1 << i
        if s & k:
            if (a | k) <= x:  # Greedy is optimal
                a = a | k
            else:
                b = b | k
    if a == 0:
        return -1
    return x - a


def main(istr, ostr):
    n = int(istr.readline().strip())
    ls = list(map(int, istr.readline().strip().split()))
    result = solve(ls)
    print(result, file=ostr)


if __name__ == "__main__":
    import sys

    main(sys.stdin, sys.stdout)
Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())
X = list(map(int, input().split()))
X.sort()

difX = []
for i in range(len(X)-1):
    difX.append(X[i+1]-X[i])

if M > N:
    
    for i in range(N-1):
        difX.pop(difX.index(max(difX)))

    total = 0
    for x in difX:
        total+= x

    print(total)
else:
    print(0)

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

difX = []
for i in range(len(X)-1):
    difX.append(X[i+1]-X[i])
difX.sort(reverse=True)

if M > N:

    difX = difX[N-1:]

    total = 0
    for x in difX:
        total+= x

    print(total)
else:
    print(0)

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

difX = []
for i in range(len(X)-1):
    difX.append(X[i+1]-X[i])


for i in range(N-1):
    difX.pop(difX.index(max(difX)))

total = 0
for x in difX:
    total+= x

print(total)

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

difX = []
for i in range(len(X)-1):
    difX.append(X[i+1]-X[i])
difX.sort(reverse=True)

if M > N:

    difX = difX[N-1:]

    total = 0
    for x in difX:
        total+= x

    print(total)
else:
    print(0)
Buggy python submission (verdict: Runtime Error):
d=input()
t=input()
s=input()

    
    if (s*t >= d):
        print ('Yes')
    
    else:
        print ('No')

Fixed submission:
d, t, s = map(int, input().split())

if t * s >= d:
    print("Yes")
else:
    print("No")

Buggy python submission (verdict: Runtime Error):
d=int(input())
t=int(input())
s=int(input())


if (s*t) >= d :
    print ('Yes')
    
else:
    print ('No')



Fixed submission:
d, t, s = map(int, input().split())

if t * s >= d:
    print("Yes")
else:
    print("No")
Buggy python submission (verdict: Runtime Error):
//////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
a=int(input())
print(a+a*a+a*a*a)


Fixed submission:
s = int(raw_input())
print s + s ** 2 + s ** 3
Buggy python submission (verdict: Runtime Error):
fruits=input()
prices=input()
list=prices.split()
i=len(list)-1
j=i-1
k=i-2
min=int(list[0])+int(list[1])+int(list[2])
while i>=2:
    while j>=1:
        while k>=0:
            sum=int(list[i])+int(list[j])+int(list[k])
            if sum<min:
                min=sum
            k=k-1
        j=j-1
        k=j-1
    i=i-1
    j=i-1
    k=i-2
print(min)


Fixed submission:
n, k = map(int,input().split())
li = list(map(int, input().split()))[:n]
count = 0
li.sort()
for i in range(k):
    count+=li[i]

print(count)

Buggy python submission (verdict: Runtime Error):
N = int(input())
K = int(input())
prices = list()
for i in range(N):
    prices.append(int(input()))
sum = 0
for i in prices:
    x = min(prices)
    sum = sum + x
    prices.remove(x)
    K = K - 1
    if K == 0: break
print(sum)

Fixed submission:
n, k = map(int,input().split())
li = list(map(int, input().split()))[:n]
count = 0
li.sort()
for i in range(k):
    count+=li[i]

print(count)