Harryxun/GPT-100-sft-dataset huggingface dataset:
Problem p02815 (python)

Fixed submission:
import sys

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n0 = int(input())
    c0 = list(map(int, readline().split()))
    c0.sort(reverse=True)

    ans = 0
    mul = pow(2, n0 - 1, MOD)
    add = pow(2, max(0, n0 - 2), MOD)

    for i, cc in enumerate(c0, 1):
        ans += cc * mul
        ans %= MOD
        mul += add
        mul %= MOD

    ans *= pow(2, n0, MOD)
    ans %= MOD

    print(ans)


if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n0 = int(input())
    c0 = list(map(int, readline().split()))
    c0.sort(reverse=True)

    ans = 0
    mul = pow(2, n0 - 1, MOD)
    add = pow(2, n0 - 2, MOD)

    for i, cc in enumerate(c0, 1):
        ans += cc * mul
        ans %= MOD
        mul += add
        mul %= MOD

    ans *= pow(2, n0, MOD)
    ans %= MOD

    print(ans)


if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n0 = int(input())
    c0 = list(map(int, readline().split()))
    c0.sort(reverse=True)

    ans = 0
    mul = pow(2, n0 - 1, MOD)
    add = pow(2, n0 - 2, MOD)

    for i, cc in enumerate(c0, 1):
        ans += cc * mul
        ans %= MOD
        mul += add

    ans *= pow(2, n0, MOD)
    ans %= MOD

    print(ans)


if __name__ == '__main__':
    main()
Problem p02847 (python)

Fixed submission:
s = input()

if s == 'SUN':
    n = 7
elif s == 'MON':
    n = 6
elif s == 'TUE':
    n = 5
elif s == 'WED':
    n = 4
elif s == 'THU':
    n = 3
elif s == 'FRI':
    n = 2
elif s == 'SAT':
    n = 1

print(n)

Buggy submission (verdict: Runtime Error):
a, b, x = [int(i) for i in input().split()]

i = 0

while True:
    #何桁円か確定させる
    price = a * (10**i) + b * (i+1)
    if price > x:
        break
    else:
        i += 1

x -= b * i
n = x//a

print(min(n,10**9))
Problem p02881 (python)

Fixed submission:
import sys

n = int(input())

for i in range(int(n**0.5),0,-1):
    if n % i == 0:
        print(n//i + i - 2 )
        sys.exit()

Buggy submission (verdict: Runtime Error):
import collections
import itertools
from operator import mul

n = int(input())
k = n
ans = n -1
prime = []

while k != 1:
    for i in range(2,int(k**0.5)+1):
        if k % i == 0:
            prime.append(i)
            k /= i
            break
    else:
        prime.append(int(k))
        k = 1

div = list(itertools.accumulate(prime,mul))

for i in div:
    ans = min(ans,i + n//i -2)

print(ans)
Problem p02990 (python)

Fixed submission:
import sys

# import bisect
# from collections import Counter, deque, defaultdict
# import copy
# from heapq import heappush, heappop, heapify
# from fractions import gcd
# import itertools
# from operator import attrgetter, itemgetter

# import math

# from numba import jit

# from scipy import
# import numpy as np
# import networkx as nx

# import matplotlib.pyplot as plt

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n, k = list(map(int, readline().split()))

    b = k
    r = n - k

    def comb():
        com = [[0] * 2005 for _ in range(2005)]
        com[0][0] = 1
        for i in range(1, 2005):
            com[i][0] = 1
            for j in range(1, 2005):
                com[i][j] = (com[i - 1][j - 1] + com[i - 1][j]) % MOD
        return com

    com = comb()

    for i in range(1, k + 1):
        res = com[r + 1][i] * com[b - 1][i - 1]
        res %= MOD
        print(res)


if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys

# import bisect
# from collections import Counter, deque, defaultdict
# import copy
# from heapq import heappush, heappop, heapify
# from fractions import gcd
# import itertools
# from operator import attrgetter, itemgetter

# import math

from numba import jit

# from scipy import
# import numpy as np
# import networkx as nx

# import matplotlib.pyplot as plt

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n, k = list(map(int, readline().split()))

    b = k
    r = n - k

    @jit(nopython=True)
    def comb():
        com = [[0] * 2005 for _ in range(2005)]
        com[0][0] = 1
        for i in range(1, 2005):
            com[i][0] = 1
            for j in range(1, 2005):
                com[i][j] = (com[i - 1][j - 1] + com[i - 1][j]) % MOD
        return com

    com = comb()

    for i in range(1, k + 1):
        res = com[r + 1][i] * com[b - 1][i - 1]
        res %= MOD
        print(res)


if __name__ == '__main__':
    main()
Problem p03016 (python)

Fixed submission:
import sys
import time

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    import numpy as np
    l, a, b, m = list(map(int, readline().split()))
    d_min = len(str(a))
    d_max = len(str(a + (l - 1) * b))
    count_d = [-1] * 19

    prev = -1
    for i in range(d_min, d_max + 1):
        power = 10 ** i
        ok = 0
        ng = l + 1
        while abs(ng - ok) > 1:
            mid = (ok + ng) // 2
            x = a + mid * b
            if x < power:
                ok = mid
            else:
                ng = mid
        ok = min(ok, l - 1)
        count_d[i] = ok - prev
        prev = ok

    res = np.array([0, a, 1], dtype="int64")
    res = np.mod(res, m)

    for i in range(19):
        count = count_d[i]
        if count == -1:
            continue
        mat = np.array([[10 ** i, 0, 0],
                        [1, 1, 0],
                        [0, b, 1]], dtype="int64")
        mat = np.mod(mat, m)
        cur = np.eye(3, dtype="int64")
        count_bit = format(count, "b")
        for bit in count_bit[::-1]:
            if bit == "1":
                cur = np.dot(cur, mat)
                cur = np.mod(cur, m)
            mat = np.dot(mat, mat)
            mat = np.mod(mat, m)
        res = np.dot(res, cur)
        res = np.mod(res, m)

    print(res[0])


if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys
import time

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    import numpy as np
    l, a, b, m = list(map(int, readline().split()))
    d_min = len(str(a))
    d_max = len(str(a + (l - 1) * b))
    count_d = [-1] * 19

    prev = -1
    for i in range(d_min, d_max + 1):
        power = 10 ** i
        ok = 0
        ng = l + 1
        while abs(ng - ok) > 1:
            mid = (ok + ng) // 2
            x = a + mid * b
            if x < power:
                ok = mid
            else:
                ng = mid
        ok = min(ok, l - 1)
        count_d[i] = ok - prev
        prev = ok

    res = np.array([0, a, 1], dtype="int64")

    for i in range(19):
        count = count_d[i]
        if count == -1:
            continue
        mat = np.array([[10 ** i, 0, 0],
                        [1, 1, 0],
                        [0, b, 1]], dtype="int64")
        mat = np.mod(mat,m)
        cur = np.eye(3, dtype="int64")
        count_bit = format(count, "b")
        for bit in count_bit[::-1]:
            if bit == "1":
                cur = cur @ mat
                cur = np.mod(cur, m)
            mat = mat @ mat
            mat = np.mod(mat, m)
        res = res @ cur
        res = np.mod(res, m)

    print(res[0])


if __name__ == '__main__':
    main()
Problem p03033 (python)

Fixed submission:
import sys

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n, q = list(map(int, readline().split()))
    event = [0] * (2 * n + q)

    for i in range(n):
        s, t, x = list(map(int, readline().split()))
        event[i * 2] = (s - x, x, 0)
        event[i * 2 + 1] = (t - x, x, 1)

    for i in range(q):
        d = int(input())
        event[2 * n + i] = (d, 0, 2)

    from operator import itemgetter
    event.sort(key=itemgetter(0))
    stop = set()
    res = INF

    for t, x, ev_type in event:
        if ev_type == 0:
            stop.add(x)
            if res == -1:
                res = x
            elif res > x:
                res = x
        elif ev_type == 1:
            stop.discard(x)
            if res == x:
                if stop:
                    res = min(stop)
                else:
                    res = -1
        else:
            if stop:
                print(res)
            else:
                print(-1)


if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n, q = list(map(int, readline().split()))
    event = [0] * (2 * n + q)

    for i in range(n):
        s, t, x = map(int, readline().split())
        event[i * 2] = (s - x, x, 0)
        event[i * 2 + 1] = (t - x, x, 1)

    for i in range(q):
        d = int(input())
        event[2 * n + i] = (d, 0, 2)

    from operator import itemgetter
    import heapq
    event.sort(key=itemgetter(0))
    hq = []
    stop = set()

    for t, x, ev_type in event:
        if ev_type == 0:
            stop.add(x)
            heapq.heappush(hq, x)
        elif ev_type == 1:
            stop.discard(x)
        else:
            if stop:
                while hq:
                    res = heapq.heappop(hq)
                    if res in stop:
                        print(res)
                        break
            else:
                hq.clear()
                print(-1)


if __name__ == '__main__':
    main()
Problem p03332 (python)

Fixed submission:
import sys

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n, a, b, k = list(map(int, readline().split()))
    M = 998244353

    h = (n + 1) // 2
    l = h + 1
    com = [0] * l
    com[0] = 1

    for i in range(1, l):
        t = com[i - 1] * (n + 1 - i)
        t *= pow(i, M - 2, M)
        t %= M
        com[i] = t

    ans = 0
    rng = min(k // a + 1, n + 1)

    for x in range(rng):
        res = k - a * x
        if res % b == 0:
            y = res // b
            if y > n:
                continue
            if x > h:
                x = n - x
            if y > h:
                y = n - y
            add = com[x] * com[y]
            ans += add
            ans %= M

    print(ans)

if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n, a, b, k = list(map(int, readline().split()))
    M = 998244353

    h = (n + 1) // 2
    l = h + 1
    com = [0] * l
    com[0] = 1

    for i in range(1, l):
        t = com[i - 1] * (n + 1 - i)
        t *= pow(i, M - 2, M)
        t %= M
        com[i] = t

    ans = 0
    rng = min(k // a + 1, n)

    for x in range(rng):
        res = k - a * x
        if res % b == 0:
            y = res // b
            if x > h:
                x = n - x
            if y > h:
                y = n - y

            add = com[x] * com[y]
            ans += add
            ans %= M

    print(ans)

if __name__ == '__main__':
    main()
Problem p03652 (python)

Fixed submission:
import sys

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n, m = map(int, readline().split())
    a = []
    for i in range(n):
        a.append(list(map(int, readline().split())))

    ans = INF
    for _ in range(m):
        cnt = [0] * (m + 1)
        for i in range(n):
            cnt[a[i][0]] += 1
        max_cnt = max(cnt)
        ans = min(ans, max_cnt)
        max_num = cnt.index(max_cnt)
        for i in range(n):
            a[i].remove(max_num)

    print(ans)


if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys

readline = sys.stdin.readline
MOD = 10 ** 9 + 7
INF = float('INF')
sys.setrecursionlimit(10 ** 5)


def main():
    n, m = map(int, readline().split())
    a = []
    for i in range(n):
        a.append(list(map(int, readline().split())))

    ans = INF
    for _ in range(n - 1):
        cnt = [0] * (m + 1)
        for i in range(n):
            cnt[a[i][0]] += 1
        max_cnt = max(cnt)
        ans = min(ans, max_cnt)
        max_num = cnt.index(max_cnt)
        for i in range(n):
            a[i].remove(max_num)

    print(ans)


if __name__ == '__main__':
    main()
Problem p02598 (python)

Fixed submission:
import sys, math
from functools import lru_cache
from collections import deque
sys.setrecursionlimit(500000)
MOD = 10**9+7

def input():
    return sys.stdin.readline()[:-1]

def mi():
    return map(int, input().split())

def ii():
    return int(input())

def i2(n):
    tmp = [list(mi()) for i in range(n)]
    return [list(i) for i in zip(*tmp)]

def isOK(i, A, K):
    if i == 0:
        return False
    return K >= sum((a-1)//i for a in A)

def b_serach(A, K):
    ng = -1
    ok = 10**9+1

    while abs(ok-ng)>1:
        mid = (ok+ng)//2
        if isOK(mid, A, K):
            ok = mid
        else:
            ng = mid

    return ok


def main():
    N, K = mi()
    A = list(mi())
    print(b_serach(A, K))


if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys, math
from functools import lru_cache
from collections import deque
sys.setrecursionlimit(500000)
MOD = 10**9+7

def input():
    return sys.stdin.readline()[:-1]

def mi():
    return map(int, input().split())

def ii():
    return int(input())

def i2(n):
    tmp = [list(mi()) for i in range(n)]
    return [list(i) for i in zip(*tmp)]

def isOK(i, A, K):
    return K >= sum((a-1)//i for a in A)

def b_serach(A, K):
    ng = -1
    ok = 10**9+1

    while abs(ok-ng)>1:
        mid = (ok+ng)//2
        if isOK(mid, A, K):
            ok = mid
        else:
            ng = mid

    return ok


def main():
    N, K = mi()
    A = list(mi())
    print(b_serach(A, K))


if __name__ == '__main__':
    main()
Problem p02699 (python)

Fixed submission:
S, W = map(int, input().split())
if W >= S:
    print('unsafe')
else:
    print('safe')

Buggy submission (verdict: Runtime Error):
S = input()
n = len(S)
a = [0]*(n+1)
l = [0]*2019
t = pow(10, n-1)

a[0] = int(S)
l[a[0]%2019] += 1

for i in range(n):
    a[i+1] = a[i] - int(S[i])*t
    l[a[i+1]%2019] += 1
    t = t // 10

print(sum(map(lambda x: x*(x-1)//2, l)))
Problem p02723 (python)

Fixed submission:
S = input()
if S[2] == S[3] and S[4] == S[5]:
    print('Yes')
else:
    print('No')

Buggy submission (verdict: Runtime Error):
A, B, C = map(int, input().split())
if A == B == C:
    print(0 if A%2 else -1)
else:
    cnt = 0
    while A%2==0 and B%2==0 and C%2==0:
        A, B, C = (B+C)//2, (C+A)//2, (A+B)//2
        cnt += 1
    print(cnt)
Problem p02912 (python)

Fixed submission:
import heapq

def mi():
    return map(int, input().split())

def ii():
    return int(input())

def main():
    N, M = mi()
    A = list(map(lambda x: -int(x), input().split()))
    heapq.heapify(A)
    for i in range(M):
        t = heapq.heappop(A)
        heapq.heappush(A, -(-t//2))
    print(-sum(A))

if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import bisect, collections

def mi():
    return map(int, input().split())

def ii():
    return int(input())

def main():
    N, M = mi()
    A = list(mi())
    A.sort()
    d = collections.deque(A)
    for i in range(M):
        t = d.pop()
        t = t>>1
        bisect.insort_left(d, t)
    print(sum(d))


if __name__ == '__main__':
    main()
Problem p03209 (python)

Fixed submission:
import sys
sys.setrecursionlimit(500000)
MOD = 10**9+7

def input():
    return sys.stdin.readline()[:-1]

def mi():
    return map(int, input().split())

def ii():
    return int(input())

def i2(n):
    tmp = [list(mi()) for i in range(n)]
    return [list(i) for i in zip(*tmp)]


def main():
    N, X = mi()
    a, p = [1], [1]
    for i in range(N):
        a.append(a[i]*2+3)
        p.append(p[i]*2+1)

    def f(N, X):
        if N == 0:
            return 0 if X <= 0 else 1

        if X <= 1 + a[N-1]:
            return f(N-1, X-1)
        else:
            return p[N-1]+1+f(N-1, X-2-a[N-1])

    print(f(N, X))

if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(500000)
MOD = 10**9+7

def input():
    return sys.stdin.readline()[:-1]

def mi():
    return map(int, input().split())

def ii():
    return int(input())

def i2(n):
    tmp = [list(mi()) for i in range(n)]
    return [list(i) for i in zip(*tmp)]


def main():
    N, X = mi()
    t = [1<<i for i in range(55)]
    def f(L, x, t):
        if L == 0:
            return 0 if X <= 0 else 1

        if x == 1:
            return 0
        elif 2 <= x <= t[L+1]-2:
            return f(L-1, x-1, t)
        elif x == t[L+1]-1:
            return t[L]
        elif t[L+1] <= x <= t[L+2]-4:
            return t[L]+f(L-1, x-t[L+1]+1, t)
        else:
            t[L+1]-1

    print(f(N, X, t))

if __name__ == '__main__':
    main()

Buggy submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(500000)
MOD = 10**9+7

def input():
    return sys.stdin.readline()[:-1]

def mi():
    return map(int, input().split())

def ii():
    return int(input())

def i2(n):
    tmp = [list(mi()) for i in range(n)]
    return [list(i) for i in zip(*tmp)]


def main():
    N, X = mi()
    t = [1<<i for i in range(55)]
    def f(L, x, t):
        if L == 0:
            return 1

        if x == 1:
            return 0
        elif 2 <= x <= t[L+1]-2:
            return f(L-1, x-1, t)
        elif x == t[L+1]-1:
            return t[L]
        elif t[L+1] <= x <= t[L+2]-4:
            return t[L]+f(L-1, x-t[L+1]+1, t)
        else:
            t[L+1]-1

    print(f(N, X, t))

if __name__ == '__main__':
    main()
Problem p02578 (python)

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

ans = 0
max_ = 0
for i in range(n):
    ans += max(max_ - a[i], 0)
    max_ = max(max_, a[i])
print(ans)

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

ans = 0
max_ = 0
for i in range(n):
    ans += max(max_ - a[i], 0)
    max_ = max(max_, a[i])
print(ans)
Problem p02580 (python)

Fixed submission:
from operator import itemgetter
import sys
input = sys.stdin.buffer.readline

class SegmentTree:
    """一点更新、区間取得クエリをそれぞれO(logN)で答えるデータ構造を構築する。
    build(array)   := arrayを初期値とするセグメント木を構築する O(N)。
    update(i, val) := i番目の要素をvalに変更する。
    get_val(l, r)  := 区間[l, r)に対する二項演算の畳み込みの結果を返す。
    """
    def __init__(self, n, op, e):
        """要素数、二項演算、単位元を引数として渡す
        例) 区間最小値 SegmentTree(n, min, 10 ** 18)
            区間和     SegmentTree(n, lambda a, b : a + b, 0)
        """
        self.n = n
        self.op = op
        self.e = e
        self.size = 2 ** ((n - 1).bit_length())
        self.node = [self.e] * (2 * self.size)

    def build(self, array):
        """arrayを初期値とするセグメント木を構築する"""
        for i in range(self.n):
            self.node[self.size + i] = array[i]
        for i in range(self.size - 1, 0, -1):
            self.node[i] = self.op(self.node[i << 1], self.node[(i << 1) + 1])

    def update(self, i, val):
        """i番目の要素をvalに変更する"""
        i += self.size
        self.node[i] = val
        while i > 1:
            i >>= 1
            self.node[i] = self.op(self.node[i << 1], self.node[(i << 1) + 1])

    def get_val(self, l, r):
        """[l, r)の畳み込みの結果を返す"""
        l, r = l + self.size, r + self.size
        res_l, res_r = self.e, self.e
        while l < r:
            if l & 1:
                res_l = self.op(res_l, self.node[l])
                l += 1
            if r & 1:
                r -= 1
                res_r = self.op(self.node[r], res_r)
            l, r = l >> 1, r >> 1
        return self.op(res_l, res_r)


h, w, m = map(int, input().split())
info = [list(map(int, input().split())) for i in range(m)]


cnt_h = [0] * h
cnt_w = [0] * w
memo_i = {}
for i in range(h):
    memo_i[i] = []

for i, j in info:
    i -= 1
    j -= 1
    cnt_h[i] += 1
    cnt_w[j] += 1
    memo_i[i].append(j)


st = SegmentTree(w, max, 0)
st.build(cnt_w)


ans = 0
for i in range(h):
    for j in memo_i[i]:
        st.update(j, cnt_w[j] - 1)
    ans = max(st.get_val(0, w) + cnt_h[i], ans)
    for j in memo_i[i]:
        st.update(j, cnt_w[j])

print(ans)

Buggy submission (verdict: Runtime Error):
import sys
input = sys.stdin.buffer.readline


h, w, m = map(int, input().split())
info = [list(map(int, input().split())) for i in range(m)]


cnt_h = [0] * h
cnt_w = [0] * w
is_ = [[0] * w for i in range(h)]
for i, j in info:
    i -= 1
    j -= 1
    cnt_h[i] += 1
    cnt_w[j] += 1
    is_[i][j] += 1

ans = 0
for i in range(h):
    for j in range(w):
        ans = max(ans, cnt_h[i] + cnt_w[j] - is_[i][j])
print(ans)
Problem p02661 (python)

Fixed submission:
from operator import itemgetter

n = int(input())
info = [list(map(int, input().split())) for i in range(n)]
a = [info[i][0] for i in range(n)]
b = [info[i][1] for i in range(n)]

a = sorted(a)
b = sorted(b)
if n % 2 == 1:
    l = a[n // 2]
    r = b[n // 2]
    print(r - l + 1)
else:
    l1, l2 = a[n // 2 - 1], a[n // 2]
    r1, r2 = b[n // 2 - 1], b[n // 2]
    print((r1 + r2) - (l1 + l2) + 1)

Buggy submission (verdict: Runtime Error):
n = int(input())
info = [list(map(int, input().split())) for i in range(n)]

if n % 2 == 1:
    info = sorted(info)
    l = info[n // 2][0]
    info = sorted(info)[::-1]
    r = info[n // 2][1]
    print(r - l + 1)
else:
    print(re)
Problem p02736 (python)

Fixed submission:
n = int(input())

s = input()
a = []
for i in range(n - 1):
    a.append(abs(int(s[i]) - int(s[i + 1])))

ans = []
for r in range(n - 1):
    if (n - 2)^ r ^ (n - 2 - r) == 0:
        ans.append(int(a[r]))
res = 0

for i in ans:
    res = abs(res - i)
if 1 in a:
    print(res % 2)
else:
    print(res)

Buggy submission (verdict: Runtime Error):
n = int(input())

s = input()
a = []
for i in range(n - 1):
    a.append(abs(int(s[i]) - int(s[i + 1])))

ans = []
    if (n - 2)^ r ^ (n - 2 - r) == 0:
        ans.append(int(a[r]))
res = 0

for i in ans:
    res = abs(res - i)
if 1 in a:
    print(res % 2)
else:
    print(res)