Harryxun/testdata huggingface dataset:
Buggy python submission (verdict: Runtime Error):
import sys
sys.setrecursionlimit(1000000)

def f(b, n):
    return n if n < b else n % b + f(b, n // b)

def solve():
    N, S = map(int, open(0))

    if N == S:
        return N + 1

    sqr = int(N ** 0.5)

    for b in range(2, sqr + 1):
        if f(b, N) == S:
            return b

    M = N - S
    for p in reversed(range(1, sqr + 1)):
        b = M // p + 1
        if f(b, N) == S:
            return b

    return -1

print(solve())

Fixed submission:
def f(b, n):
    return n if n < b else n % b + f(b, n // b)

def solve():
    N, S = map(int, open(0))

    if N == S:
        return N + 1

    sqr = int(N ** 0.5)

    for b in range(2, sqr + 1):
        if f(b, N) == S:
            return b

    M = N - S
    for p in reversed(range(1, sqr + 1)):
        b = M // p + 1
        if b >= 2 and f(b, N) == S:
            return b

    return -1


print(solve())

Buggy python submission (verdict: Runtime Error):
def f(b, n):
    return n if n < b else n % b + f(b, n // b)

def solve():
    N, S = map(int, open(0))

    if N == S:
        return N + 1

    sqr = int(N ** 0.5)

    for b in range(2, sqr + 1):
        if f(b, N) == S:
            return b

    M = N - S
    for p in reversed(range(1, sqr + 1)):
        b = M // p + 1
        if f(b, N) == S:
            return b

    return -1

print(solve())

Fixed submission:
def f(b, n):
    return n if n < b else n % b + f(b, n // b)

def solve():
    N, S = map(int, open(0))

    if N == S:
        return N + 1

    sqr = int(N ** 0.5)

    for b in range(2, sqr + 1):
        if f(b, N) == S:
            return b

    M = N - S
    for p in reversed(range(1, sqr + 1)):
        b = M // p + 1
        if b >= 2 and f(b, N) == S:
            return b

    return -1


print(solve())
Buggy python submission (verdict: Runtime Error):
N, L, *A = map(int, open(0).read().split())

k = -1
for i in range(N - 1):
    if A[i] + A[i + 1] >= L:
        k = i + 1
        break

if k == -1:
    print("Impossible")
else:
    print("Possible", *range(1, k), *range(N - 1, k, -1), k, sep="\n")

Fixed submission:
N, L, *A = map(int, open(0).read().split())

k = -1
for i in range(N - 1):
    if A[i] + A[i + 1] >= L:
        k = i + 1
        break

if k == -1:
    print("Impossible")
else:
    print("Possible")
    for j in range(1, k):
        print(j)
    for j in reversed(range(k + 1, N)):
        print(j)
    print(k)
Buggy python submission (verdict: Time Limit Exceeded):
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
from typing import Iterable
import sys
def main(N, XY):
    uf = UnionFindTree(N)
    miny = []
    for x, y in sorted(XY, key=lambda x: x[0]):
        t = []
        nmy = 10**10
        for py in miny:
            if y > py:
                uf.union(py, y)
                nmy = min(nmy, py)
            else:
                t.append(py)
        if uf.size(y) == 1:
            t.append(y)
        else:
            t.append(nmy)
        miny = t
    for x, y in XY:
        print(uf.size(y))

class UnionFindTree:
    def __init__(self, n: int) -> None:
        self.parent = [-1] * n

    def find(self, x: int) -> int:
        p = self.parent
        while p[x] >= 0: x, p[x] = p[x], p[p[x]]
        return x

    def union(self, x: int, y: int) -> bool:
        x, y, p = self.find(x), self.find(y), self.parent
        if x == y: return False
        if p[x] > p[y]: x, y = y, x
        p[x], p[y] = p[x] + p[y], x
        return True

    def same(self, x: int, y: int) -> bool:
        return self.find(x) == self.find(y)

    def size(self, x: int) -> int:
        return -self.parent[self.find(x)]

    def same_all(self, indices: Iterable[int]) -> bool:
        f, v = self.find, self.find(indices[0])
        return all(f(i) == v for i in indices)

if __name__ == '__main__':
    input = sys.stdin.readline
    N = int(input())
    XY = [tuple(map(lambda x:int(x) - 1, input().split())) for _ in range(N)]
    main(N, XY)


Fixed submission:
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
from typing import Iterable
import sys
def main(N, XY):
    uf = UnionFindTree(N)
    miny = []
    for x, y in sorted(XY, key=lambda x: x[0]):
        if not miny:
            miny.append(y)
            continue
        if y < miny[-1]:
            miny.append(y)
            continue
        t = 10**10
        while miny:
            if y > miny[-1]:
                py = miny.pop()
                uf.union(py, y)
                t = min(t, py)
            else:
                break
        miny.append(t)
    for x, y in XY:
        print(uf.size(y))

class UnionFindTree:
    def __init__(self, n: int) -> None:
        self.parent = [-1] * n

    def find(self, x: int) -> int:
        p = self.parent
        while p[x] >= 0: x, p[x] = p[x], p[p[x]]
        return x

    def union(self, x: int, y: int) -> bool:
        x, y, p = self.find(x), self.find(y), self.parent
        if x == y: return False
        if p[x] > p[y]: x, y = y, x
        p[x], p[y] = p[x] + p[y], x
        return True

    def same(self, x: int, y: int) -> bool:
        return self.find(x) == self.find(y)

    def size(self, x: int) -> int:
        return -self.parent[self.find(x)]

    def same_all(self, indices: Iterable[int]) -> bool:
        f, v = self.find, self.find(indices[0])
        return all(f(i) == v for i in indices)

if __name__ == '__main__':
    input = sys.stdin.readline
    N = int(input())
    XY = [tuple(map(lambda x:int(x) - 1, input().split())) for _ in range(N)]
    main(N, XY)
Buggy python submission (verdict: Runtime Error):
N, X, M = map(int, input().split())
U = [0] * (M + 10)
U[X] = 1
S = [0] * (M + 10)
S[1] = X
v = X
l = r = 0  # [l,r) で巡回
cycle_sum = 0
for i in range(2, M + 1):
    v = (v * v) % M
    if U[v]:
        l = U[v]
        r = i
        cycle_sum = S[i - 1] + v - S[l]
        break
    U[v] = i
    S[i] = S[i - 1] + v
if N < l:
    print(S[N])
    exit()

ans = S[l - 1]
N -= l - 1
d, m = divmod(N, r - l)
ans += d * cycle_sum
ans += S[l + m - 1] - S[l - 1]
print(ans)


Fixed submission:
N, X, M = map(int, input().split())
if X == 0:
    print(0)
    exit()
U = [0] * (M + 10)
U[X] = 1
S = [0] * (M + 10)
S[1] = X
v = X
l = r = 0  # [l,r) で巡回
cycle_sum = 0
for i in range(2, M + 1):
    v = (v * v) % M
    if U[v]:
        l = U[v]
        r = i
        cycle_sum = S[i - 1] + v - S[l]
        break
    U[v] = i
    S[i] = S[i - 1] + v
if N <= l:
    print(S[N])
    exit()

ans = S[l - 1]
N -= l - 1
d, m = divmod(N, r - l)
ans += d * cycle_sum
ans += S[l + m - 1] - S[l - 1]
print(ans)

Buggy python submission (verdict: Runtime Error):
N, X, M = map(int, input().split())
U = [0] * (M)
U[X] = 1
S = [0] * (M)
S[1] = X
v = X
l = r = 0  # [l,r) で巡回
cycle_sum = 0
for i in range(2, M + 1):
    v = (v * v) % M
    if U[v]:
        l = U[v]
        r = i
        cycle_sum = S[i - 1] + v - S[l]
        break
    U[v] = i
    S[i] = S[i - 1] + v
if N < l:
    print(S[N])
    exit()

ans = S[l - 1]
N -= l - 1
d, m = divmod(N, r - l)
ans += d * cycle_sum
ans += S[l + m - 1] - S[l - 1]
print(ans)


Fixed submission:
N, X, M = map(int, input().split())
if X == 0:
    print(0)
    exit()
U = [0] * (M + 10)
U[X] = 1
S = [0] * (M + 10)
S[1] = X
v = X
l = r = 0  # [l,r) で巡回
cycle_sum = 0
for i in range(2, M + 1):
    v = (v * v) % M
    if U[v]:
        l = U[v]
        r = i
        cycle_sum = S[i - 1] + v - S[l]
        break
    U[v] = i
    S[i] = S[i - 1] + v
if N <= l:
    print(S[N])
    exit()

ans = S[l - 1]
N -= l - 1
d, m = divmod(N, r - l)
ans += d * cycle_sum
ans += S[l + m - 1] - S[l - 1]
print(ans)
Buggy python submission (verdict: Time Limit Exceeded):
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
import sys
M = 10**6
def main(N, A):
    u = [False] * (M + 1)
    mx = 0
    for n in range(2, M + 1):
        if u[n]: continue
        for nn in range(n, M + 1, n):
            u[nn] = True
        c = 0
        for a in A:
            if a % n == 0:
                c += 1
        if c == N:
            print('not coprime')
            return
        mx = max(mx, c)
    if mx <= 1:
        print('pairwise coprime')
    else:
        print('setwise coprime')

if __name__ == '__main__':
    input = sys.stdin.readline
    N = int(input())
    *A, = map(int, input().split())
    main(N, A)


Fixed submission:
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
import sys
from math import gcd
M = 10**6
def main(N, A):
    g = 0
    for a in A:
        g = gcd(g, a)
    if g > 1:
        print('not coprime')
        return

    u = [False] * (M + 1)
    cc = [0] * (M + 1)
    for a in A:
        cc[a] += 1
    for n in range(2, M + 1):
        if u[n]: continue
        c = 0
        for nn in range(n, M + 1, n):
            u[nn] = True
            c += cc[nn]
        if c >= 2:
            print('setwise coprime')
            return
    print('pairwise coprime')

if __name__ == '__main__':
    input = sys.stdin.readline
    N = int(input())
    *A, = map(int, input().split())
    main(N, A)
Buggy python submission (verdict: Runtime Error):
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
import sys
def main(N, A):
    m = [[0] * 20 for _ in range(20)]
    Ad = []
    for a in A:
        p = a.index('.') if a.count('.') > 0 else len(a) - 1
        l = len(a) - p - 1
        n = int(a.replace('.', '') + '0' * (9 - l))
        d2, d5 = 0, 0
        while n % 2 == 0:
            d2 += 1
            n //= 2
        while n % 5 == 0:
            d5 += 1
            n //= 5
        m[d2][d5] += 1
        Ad.append((d2, d5))
    for i in range(19, 0, -1):
        for j in range(20):
            m[i - 1][j] += m[i][j]
    for i in range(20):
        for j in range(19, 0, -1):
            m[i][j - 1] += m[i][j]
    ans = 0
    for d2, d5 in Ad:
        dd2, dd5 = 18 - d2, 18 - d5
        ans += m[dd2][dd5]
        if d2 >= dd2 and d5 >= dd5:
            ans -= 1
    print(ans // 2)

if __name__ == '__main__':
    input = sys.stdin.readline
    N = int(input())
    A = [input().rstrip() for _ in range(N)]
    main(N, A)


Fixed submission:
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
import sys
def main(N, A):
    m = [[0] * 19 for _ in range(19)]
    Ad = []
    for a in A:
        p = a.index('.') if a.count('.') > 0 else len(a) - 1
        l = len(a) - p - 1
        n = int(a.replace('.', '') + '0' * (9 - l))
        if n == 0:
            m[18][18] += 1
            Ad.append((18, 18))
            continue
        d2, d5 = 0, 0
        while n % 2 == 0:
            d2 += 1
            n //= 2
        while n % 5 == 0:
            d5 += 1
            n //= 5
        d2 = min(d2, 18)
        d5 = min(d5, 18)
        m[d2][d5] += 1
        Ad.append((d2, d5))
    for i in range(18, 0, -1):
        for j in range(19):
            m[i - 1][j] += m[i][j]
    for i in range(19):
        for j in range(18, 0, -1):
            m[i][j - 1] += m[i][j]
    ans = 0
    for d2, d5 in Ad:
        dd2, dd5 = 18 - d2, 18 - d5
        ans += m[dd2][dd5]
        if d2 >= dd2 and d5 >= dd5:
            ans -= 1
    print(ans // 2)

if __name__ == '__main__':
    input = sys.stdin.readline
    N = int(input())
    A = [input().rstrip() for _ in range(N)]
    main(N, A)
Buggy python submission (verdict: Runtime Error):
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
import sys
def main(N, K, A):
    lo = -1
    hi = 10**9
    while hi - lo > 1:
        m = (lo + hi) // 2
        if sum((a + m - 1) // m - 1 for a in A) <= K: hi = m
        else: lo = m
    print(hi)

if __name__ == '__main__':
    input = sys.stdin.readline
    N, K = map(int, input().split())
    * A, = map(int, input().split())
    main(N, K, A)


Fixed submission:
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
import sys
from math import ceil
def main(N, K, A):
    A.sort(reverse=True)

    def f(x):
        res = 0
        for a in A:
            if a > x:
                res += a // x
            else:
                break
        return res

    lo = 0
    hi = 10**9
    for _ in range(100):
        m = (lo + hi) / 2
        if f(m) > K: lo = m
        else: hi = m
    print(ceil(lo))

if __name__ == '__main__':
    input = sys.stdin.readline
    N, K = map(int, input().split())
    *A, = map(int, input().split())
    main(N, K, A)
Buggy python submission (verdict: Time Limit Exceeded):
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
import sys
def main(N, K, A):
    st = SegmentTree(f=lambda x, y: x * y, identity_factory=lambda: 1, initial_values=A)
    prev = st.query(0, K)
    for i in range(K + 1, N + 1):
        curr = st.query(i - K, i)
        print('Yes' if curr > prev else 'No')
        prev = curr

class SegmentTree:
    def __init__(self, n=None, f=max, identity_factory=int, initial_values=None):
        assert(n or initial_values)
        size = n if n else len(initial_values)
        d = [identity_factory() for _ in range(2 * size + 1)]
        self.__n, self.__d, self.__f, self.__e = size, d, f, identity_factory
        if initial_values:
            for i, v in enumerate(initial_values): d[size + i] = v
            for i in range(size - 1, 0, -1): d[i] = f(d[i << 1], d[i << 1 | 1])

    def get_val(self, index):
        return self.__d[index + self.__n]

    def set_val(self, index, new_value):
        i, d, f = index + self.__n, self.__d, self.__f
        if d[i] == new_value: return
        d[i] = new_value
        while i:
            i = i >> 1
            d[i] = f(d[i << 1], d[i << 1 | 1])

    def modify(self, index, value):
        self.set_val(index, self.__f(self.__d[index + self.__n], value))

    def query(self, from_inclusive, to_exclusive):
        ans = self.__e()
        if to_exclusive <= from_inclusive: return ans
        l, r, d, f = from_inclusive + self.__n, to_exclusive + self.__n, self.__d, self.__f
        while l < r:
            if l & 1: ans, l = f(ans, d[l]), l + 1
            if r & 1: ans, r = f(d[r - 1], ans), r - 1
            l, r = l >> 1, r >> 1
        return ans

if __name__ == '__main__':
    input = sys.stdin.readline
    N, K = map(int, input().split())
    *A, = map(int, input().split())
    main(N, K, A)


Fixed submission:
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
import sys
def main(N, K, A):
    for i in range(K, N):
        print('Yes' if A[i] > A[i - K] else 'No')

if __name__ == '__main__':
    input = sys.stdin.readline
    N, K = map(int, input().split())
    *A, = map(int, input().split())
    main(N, K, A)
Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
X = input()

def e(x, y):
    if y <= 0: return -1
    res = 0
    z = 1
    for i in range(len(x) - 1, -1, -1):
        if x[i] == '1':
            res = (res + z) % y
        z = (z << 1) % y
    return res

def popcount(x):
    x = (x & 0x5555555555555555) + (x >> 1 & 0x5555555555555555)
    x = (x & 0x3333333333333333) + (x >> 2 & 0x3333333333333333)
    x = x + (x >> 4) & 0x0f0f0f0f0f0f0f0f
    x += x >> 8
    x += x >> 16
    x += x >> 32
    return x & 0x7f

fm = [-1] * (2 * (10 ** 5) + 1)
fm[0] = 0
def f(x):
    if fm[x] >= 0: return fm[x]
    fm[x] = 1 + f(x % popcount(x))
    return fm[x]


pc = X.count('1')
s0 = e(X, pc + 1)
s1 = e(X, pc - 1)

for i in range(N):
    t = 0
    if X[i] == '0':
        t = (s0 + e('1' + '0' * (N - i - 1), pc + 1)) % (pc + 1)
    else:
        if pc == 1:
            print(0)
            continue
        t = (s1 - e('1' + '0' * (N - i - 1), pc - 1)) % (pc - 1)
    print(1 + f(t))


Fixed submission:
N = int(input())
X = input()

def e(x, y):
    t = [0] * len(x)
    if y <= 0: return (-1, t)
    if y == 1: return (0, t)
    res = 0
    z = 1
    for i in range(len(x) - 1, -1, -1):
        t[i] = z
        if x[i] == '1':
            res = (res + z) % y
        z = (z << 1) % y
    return (res, t)

def popcount(x):
    x = (x & 0x5555555555555555) + (x >> 1 & 0x5555555555555555)
    x = (x & 0x3333333333333333) + (x >> 2 & 0x3333333333333333)
    x = x + (x >> 4) & 0x0f0f0f0f0f0f0f0f
    x += x >> 8
    x += x >> 16
    x += x >> 32
    return x & 0x7f

fm = [-1] * (2 * (10 ** 5) + 1)
fm[0] = 0
def f(x):
    if fm[x] >= 0: return fm[x]
    fm[x] = 1 + f(x % popcount(x))
    return fm[x]


pc = X.count('1')
s0, t0 = e(X, pc + 1)
s1, t1 = e(X, pc - 1)

for i in range(N):
    t = 0
    if X[i] == '0':
        t = (s0 + t0[i]) % (pc + 1)
    else:
        if pc == 1:
            print(0)
            continue
        t = (s1 - t1[i]) % (pc - 1)
    print(1 + f(t))
Buggy python submission (verdict: Runtime Error):
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
from itertools import accumulate
import sys
def main(N, M, K, A, B):
    *AA, = accumulate(A, initial=0)
    *BB, = accumulate(B, initial=0)

    def f(c):
        res = 10 ** 18
        for a in range(max(0, c - M), min(c, N) + 1):
            res = min(res, AA[a] + BB[c - a])
        return res

    l = 0
    r = N + M + 1
    while r - l > 1:
        m = (l + r) // 2
        if f(m) > K:
            r = m
        else:
            l = m
    print(l)

if __name__ == '__main__':
    input = sys.stdin.readline
    N, M, K = map(int, input().split())
    *A, = map(int, input().split())
    *B, = map(int, input().split())
    main(N, M, K, A, B)


Fixed submission:
# でつoO(YOU PLAY WITH THE CARDS YOU'RE DEALT..)
from itertools import accumulate
import sys
def main(N, M, K, A, B):
    *AA, = accumulate(A, initial=0)
    *BB, = accumulate(B, initial=0)

    def f(c):
        res = 10 ** 18
        for a in range(max(0, c - M), min(c, N) + 1):
            res = min(res, AA[a] + BB[c - a])
        return res

    l = 0
    r = N + M + 1
    while r - l > 1:
        m = (l + r) // 2
        if f(m) > K:
            r = m
        else:
            l = m
    print(l)

if __name__ == '__main__':
    input = sys.stdin.readline
    N, M, K = map(int, input().split())
    *A, = map(int, input().split())
    *B, = map(int, input().split())
    main(N, M, K, A, B)
Buggy python submission (verdict: Time Limit Exceeded):
import sys
def main():
    input = sys.stdin.readline
    N = int(input())
    *A, = map(int, input().split())
    w = [0] * (10 ** 6 + 1)
    for a in A:
        w[a] += 1
    for a in A:
        for b in range(a * 2, 10 ** 6 + 1, a):
            w[b] = 0
        if w[a] >= 2:
            w[a] = 0
    print(sum(w))

if __name__ == '__main__':
    main()


Fixed submission:
import sys
def main():
    input = sys.stdin.readline
    N = int(input())
    *A, = map(int, input().split())
    w = [0] * (10 ** 6 + 1)
    for a in A:
        w[a] += 1
    f = [False] * (10 ** 6 + 1)
    for a in A:
        if f[a]:
            w[a] = 0
            continue
        for b in range(a * 2, 10 ** 6 + 1, a):
            w[b] = 0
        f[a] = True
    print(sum(w))

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
import sys
MX = 10**6
def main():
    input = sys.stdin.readline
    N = int(input())
    *A, = map(int, input().split())
    C = [0] * (MX + 1)
    for a in A:
        C[a] += 1
    ans = 0
    for a in A:
        if C[a] >= 2: continue
        for d in dv(a):
            if C[d] > 0:
                break
        else:
            ans += 1
    print(ans)

def dv(x):
    res = []
    for i in range(2, int(x ** 0.5) + 1):
        if x % i == 0:
            res.append(i)
            res.append(x // i)
    if x != 1:
        res.append(1)
    return res

if __name__ == '__main__':
    main()


Fixed submission:
import sys
def main():
    input = sys.stdin.readline
    N = int(input())
    *A, = map(int, input().split())
    w = [0] * (10 ** 6 + 1)
    for a in A:
        w[a] += 1
    f = [False] * (10 ** 6 + 1)
    for a in A:
        if f[a]:
            w[a] = 0
            continue
        for b in range(a * 2, 10 ** 6 + 1, a):
            w[b] = 0
        f[a] = True
    print(sum(w))

if __name__ == '__main__':
    main()
Buggy python submission (verdict: Time Limit Exceeded):
import sys
def main():
    input = sys.stdin.readline
    N = int(input())
    iS = input().rstrip()

    S = []
    for i in range(N-1):
        S.append(abs(int(iS[i])-int(iS[i+1])))
    N -= 1

    f = FactorialUtils(N)
    n1 = n2 = 0
    for i in range(N):
        t = f.choose(N-1,i)
        #print(t,S[i])
        if S[i] == 1: n1 += t
        elif S[i] == 2: n2 += t
    if n1&1 and n2&1: print(1)
    elif n1&1: print(1)
    elif n2&1: print(2)
    else: print(0)
    #print(n1,n2)

class FactorialUtils:
    def __init__(self, n):
        self.fac = [1] * (n+1)
        for i in range(2, n+1): self.fac[i] = self.fac[i-1] * i

    def choose(self, n, r):
        if r < 0 or r > n: return 0
        return (self.fac[n] // self.fac[n-r]) // self.fac[r]

if __name__ == '__main__':
    main()

Fixed submission:
import sys
def main():
    input = sys.stdin.readline
    N = int(input())
    iS = input().rstrip()

    S = []
    for i in range(N-1):
        S.append(abs(int(iS[i])-int(iS[i+1])))
    N -= 1

    f = FactorialUtils(N)
    n1 = n2 = 0
    for i in range(N):
        t = f.choose(N-1,i)
        #print(t,S[i])
        if S[i] == 1: n1 += t
        elif S[i] == 2: n2 += t
    if n1&1 and n2&1: print(1)
    elif n1&1: print(1)
    elif n2&1 and n1==0: print(2)
    else: print(0)
    #print(n1,n2)

class FactorialUtils:
    def __init__(self, n):
        self.fac = [1] * (n+1)
        for i in range(2, n+1): self.fac[i] = self.fac[i-1] + (i&(-i)).bit_length()

    def choose(self, n, r):
        if r < 0 or r > n: return 0
        return 2 if (self.fac[n] - self.fac[n-r] - self.fac[r]) > 0 else 1

if __name__ == '__main__':
    main()
Buggy python submission (verdict: Runtime Error):
S = input()
j = True
for i in range(0,len(S),2):
    if S[i] != 'h' or S[i+1] != 'i':
        j = False
        break
print('Yes' if j else 'No')

Fixed submission:
S = input()
j = True
if len(S)&1: j = False
else:
    for i in range(0,len(S),2):
        if S[i] != 'h' or S[i+1] != 'i':
            j = False
            break
print('Yes' if j else 'No')
Buggy python submission (verdict: Runtime Error):
import sys
input = sys.stdin.readline
def main():
    N, M, K=map(int, input().split())
    friend_or_block = [0] * N
    friends_chain = UnionFindTree(N)

    for _ in range(M):
        a, b = map(int, input().split())
        a, b = a-1, b-1
        friends_chain.unite(a, b)
        friend_or_block[a] += 1
        friend_or_block[b] += 1

    for _ in range(K):
        c, d = map(int, input().split())
        c, d = c-1, d-1
        if friends_chain.same(c, d):
            friend_or_block[c] += 1
            friend_or_block[d] += 1

    print(*[friends_chain.count(i) - friend_or_block[i] - 1 for i in range(N)])

    class UnionFindTree:
        def __init__(self, n):
            self.parent = [-1] * n

        def root(self, x):
            p, s = self.parent[x], list()
            while p >= 0:
                s.append(x)
                x, p = p, self.parent[p]
            for c in s: self.parent[c] = x
            return x

        def same(self, x, y): return self.root(x) == self.root(y)

        def count(self, x): return -self.parent[self.root(x)]

        def unite(self, x, y):
            xr, yr = self.root(x), self.root(y)
            if xr == yr: return
            if self.parent[xr] > self.parent[yr]: xr, yr = yr, xr
            self.parent[xr] += self.parent[yr]
            self.parent[yr] = xr

if __name__ == '__main__':
    main()



Fixed submission:
N,M,K=map(int, input().split())
AB = [tuple(map(int, input().split())) for _ in range(M)]
CD = [tuple(map(int, input().split())) for _ in range(K)]

def root(x,P):
    l = []
    n = x
    p = P[n]
    while p >= 0:
        l.append(n)
        n = p
        p = P[p]
    for a in l: P[a] = n
    return n

def same(a, b, P): return root(a,P) == root(b,P)

def count(x,P): return -P[root(x,P)]

def unite(a, b, P):
    if count(a,P) < count(b,P): a, b = b, a
    ar = root(a,P)
    br = root(b,P)
    if ar == br: return
    P[ar] += P[br]
    P[br] = ar

Fu = [-1] * N
F = [set() for _ in range(N)]
B = [set() for _ in range(N)]

for a,b in AB:
    a, b = a-1, b-1
    unite(a,b,Fu)
    F[a].add(b)
    F[b].add(a)
for c,d in CD:
    c, d = c-1, d-1
    B[c].add(d)
    B[d].add(c)

for i in range(N):
    block = 0
    for b in B[i]:
        if same(i,b,Fu): block += 1
    print(count(i,Fu) - len(F[i]) - block - 1, end=' ')