Harryxun/sft_time huggingface dataset:
### BUGGY CODE ###

#coding utf-8
import math
N,M=map(int,input().split())

def soinsu(m):
  fact =[]
  i = 2
  while i*i<=m:
    if m%i==0:
      fact.append(i)
      m //=i
    else:
      i +=1
  if m>1:
    fact.append(m)
  return fact

fact=soinsu(M)
counting=[]
for i in fact:
  counting.append(fact.count(i))
  del fact[:fact.count(i)-1]
  if fact==[]:
    break

def permi(n,r):
  return math.factorial(n)//math.factorial(n-r)
def combi(n,r):
  return permi(n,r)//math.factorial(r)

ans = 1
for i in counting:
  ans *=combi(i+N-1,N-1)

print(ans%(10**9+7))

### FIXED CODE ###

#coding utf-8
import math
from operator import mul
from functools import reduce
N,M=map(int,input().split())

def soinsu(m):
  fact =[]
  i = 2
  while i*i<=m:
    if m%i==0:
      fact.append(i)
      m //=i
    else:
      i +=1
  if m>1:
    fact.append(m)
  return fact

fact=soinsu(M)
counting=[]
for i in fact:
  counting.append(fact.count(i))
  del fact[:fact.count(i)-1]
  if fact==[]:
    break

def combi(n,r):
  r =min(r,n-r)
  if r==0:
    return 1
  over = reduce(mul, range(n, n - r, -1))
  under = reduce(mul, range(1, r + 1))
  return over // under

ans = 1
for i in counting:
  ans *=combi(i+N-1,N-1)

print(ans%(10**9+7))
### BUGGY CODE ###

n = input()
li = list(map(int, input().split()))
a = 1
for x in li:
    a *= x
if a > 10**18:
    print(-1)
else:
    print(a)

### FIXED CODE ###

n = int(input())
ls = list(map(int, input().split()))
res = 1
if 0 in ls:
    print(0)
    quit()
for x in ls:
    res *= x
    if res > 10**18:
        print(-1)
        quit()
print(res)
### BUGGY CODE ###

def expected_value(p):
    return sum([n/p for n in range(1, p+1)])

N, K = (int(nk) for nk in input().split())
P = [expected_value(int(p)) for p in input().split()]

max_ev = 0
for i in range(N-K+1):
    max_ev = max(max_ev, sum(P[i:i+K]))

print(max_ev)


### FIXED CODE ###

N, K = (int(nk) for nk in input().split())

curr_S = 0
count = 1
max_ev = 0
index = 0
has_eval_sk = False
zero_e = []
for p_str in input().split():
    e = (int(p_str)+1) / 2
    zero_e.append(e)
    if has_eval_sk:
        curr_S += e - zero_e[index]
        max_ev = max(max_ev, curr_S)
        index += 1
    else:
        curr_S += e
        if count == K:
            max_ev = curr_S
            has_eval_sk = True
        count += 1

print(max_ev)
### BUGGY CODE ###

n, q = map(int, input().split())
s = input()
a = [0] * (n - 1)

for i in range(n - 1):
    if s[i] == 'A' and s[i + 1] == 'C':
        a[i] = 1

for _ in range(q):
    l, r = map(int, input().split())
    print(sum(a[l-1:r-1]))

### FIXED CODE ###

import sys


def inp():
    return sys.stdin.readline().strip()


n, q = map(int, inp().split())
s = inp()
a = [0] * n

for i in range(1, n):
    if s[i-1] == 'A' and s[i] == 'C':
        a[i] = a[i-1] + 1
    else:
        a[i] = a[i-1]

for _ in range(q):
    l, r = map(int, inp().split())
    print(a[r-1] - a[l-1])
### BUGGY CODE ###

n,k =map(int,input().split())
def p(n):
        if n > abs(n-k):
                return True
        else:
                return False
while p(n):
        n = abs(n-k)

print(n)

### FIXED CODE ###

n,k =map(int,input().split())
if n//k != 0:
        n -= (n//k)*k
else:
        pass
def p(n):
        if n > abs(n-k):
                return True
        else:
                return False
while p(n):
        n = abs(n-k)

print(n)
### BUGGY CODE ###

N = int(input())
L = [i for i in map(int, input().split())]

L = sorted(L)[::-1] # descending order

def binary_search(descend_list, threshold):
    # 閾値を超えている要素の数を返す
    length = len(descend_list)
    
    # 最小の数が閾値を超えればリストの長さを返す
    if descend_list[-1] > threshold:
        return length
    
    # 最大の数が閾値を超えなければ0を返す
    if descend_list[0] <= threshold:
        return 0
    
    # 二分探索する 少なくとも一つはthresholdを超える要素があり、少なくとも一つはthresholdを超えない要素がある場合
    upper_bound = length
    lower_bound = 0
    index = (upper_bound - lower_bound) // 2
    
    while upper_bound > lower_bound + 1:
        if descend_list[index] > threshold:
            lower_bound = index
        else:
            upper_bound = index
        
        index = (upper_bound + lower_bound) // 2
    
    return lower_bound + 1

i = 0
ret = 0

while i < N - 2:
    edge1 = L[i]
    for j in range(i + 1, N-1):
        edge2 = L[j]
        ret += binary_search(L[j+1:], edge1 - edge2)
    
    i += 1

print(ret)

### FIXED CODE ###

N = int(input())
L = [i for i in map(int, input().split())]

L = sorted(L)[::-1] # descending order

def binary_search(descend_list, threshold):
    # 閾値を超えている要素の数を返す
    length = len(descend_list)
    
    # 最小の数が閾値を超えればリストの長さを返す
    if descend_list[-1] > threshold:
        return length
    
    # 最大の数が閾値を超えなければ0を返す
    if descend_list[0] <= threshold:
        return 0
    
    # 二分探索する 少なくとも一つはthresholdを超える要素があり、少なくとも一つはthresholdを超えない要素がある場合
    upper_bound = length
    lower_bound = 0
    index = (upper_bound - lower_bound) // 2
    
    while upper_bound > lower_bound + 1:
        if descend_list[index] > threshold:
            lower_bound = index
        else:
            upper_bound = index
        
        index = (upper_bound + lower_bound) // 2
    
    return lower_bound + 1

i = 0
ret = 0

while i < N - 2:
    edge1 = L[i]
    for j in range(i + 1, N-1):
        edge2 = L[j]
        _ret = binary_search(L[j+1:], edge1 - edge2)
        if _ret == 0:
            break
        else:
            ret += _ret
    
    i += 1

print(ret)
### BUGGY CODE ###

from decimal import *
from bisect import bisect_left as bl
from bisect import bisect_right as br
from heapq import heappush,heappop
import math
from collections import *
from functools import reduce,cmp_to_key
import sys
input = sys.stdin.readline

M = mod = 998244353
def factors(n):return sorted(set(reduce(list.__add__, ([i, n//i] for i in range(1, int(n**0.5) + 1) if n % i == 0))))
def inv_mod(n):return pow(n, mod - 2, mod)

def li():return [int(i) for i in input().rstrip('\n').split()]
def st():return input().rstrip('\n')
def val():return int(input().rstrip('\n'))
def li2():return [i for i in input().rstrip('\n')]
def li3():return [int(i) for i in input().rstrip('\n')]
def li4():return [float(i) for i in input().rstrip('\n').split(' ')]

n = val()
l = li4()
mihe = n//2 + 1


dp = [[0 for i in range(n)] for j in range(n + 1)]
sumarray = [1 for i in range(n + 1)]



for i in range(n-1,-1,-1):
    for j in range(n-1,i - 1,-1):
        dp[i][j] = ( l[i] / (1 - l[i]) ) * sumarray[j + 1]

    for j in range(n):
        if sumarray[j] != 1:
            sumarray[j] += dp[i][j]
        else:
            sumarray[j] = dp[i][j]



# for i in dp:print(*i)
# print(*sumarray)

curr = 1
for i in l:curr *= (1 - i)
ans = 0
for i in sumarray[:-mihe]:
    ans += i * curr
print(ans)



### FIXED CODE ###

from decimal import *
from bisect import bisect_left as bl
from bisect import bisect_right as br
from heapq import heappush,heappop
import math
from collections import *
from functools import reduce,cmp_to_key
import sys
input = sys.stdin.readline

M = mod = 998244353
def factors(n):return sorted(set(reduce(list.__add__, ([i, n//i] for i in range(1, int(n**0.5) + 1) if n % i == 0))))
def inv_mod(n):return pow(n, mod - 2, mod)

def li():return [int(i) for i in input().rstrip('\n').split()]
def st():return input().rstrip('\n')
def val():return int(input().rstrip('\n'))
def li2():return [i for i in input().rstrip('\n')]
def li3():return [int(i) for i in input().rstrip('\n')]
def li4():return [float(i) for i in input().rstrip('\n').split(' ')]

n = val()
l = li4()
mihe = n//2 + 1


curr = 1
for i in l:curr *= (1 - i)
dp = [0 for i in range(n + 1)]
dp[0] = 1

for i in range(n):

    for j in range(i + 1,-1,-1):
        if not j:dp[j] *= 1 - l[i]
        else:dp[j] = dp[j-1] * l[i] + dp[j] *(1 - l[i])

ans = 0
for i in dp[-mihe:]:
    ans += i

print(round(ans,10))
### BUGGY CODE ###

n, m = map(int, input().split())
c = 0
while n > 0 and m > 2:
    n -= 1
    m -= 2
    c += 1

while m >= 4:
    m -= 4
    c += 1
print(c)


### FIXED CODE ###

n, m = map(int, input().split())
if n <= m // 2:
    m -= n * 2
    print(n + m//4)
else:
    print(m//2)
### BUGGY CODE ###

INF = 1001001001
H, N = map(int, input().split())
ab = [list(map(int, input().split())) for _ in range(N)]
dp = [INF] * (H+1)
dp[0] = 0
for i in range(N):
    for j in range(H+1):
        if j>ab[i][0]:
            dp[j] = min(dp[j], dp[j-ab[i][0]] + ab[i][1])
        else:
            dp[j] = min(dp[j], ab[i][1])
print(dp[H])


### FIXED CODE ###

INF = 1001001001
H, N = map(int, input().split())
ab = [list(map(int, input().split())) for _ in range(N)]
dp = [INF] * (20000)
dp[0] = 0
for a,b in ab:
    for j in range(H):
        if dp[j+a] > dp[j] + b:
            dp[j+a] = dp[j] + b
print(min(dp[H:]))
### BUGGY CODE ###

N,M = map(int,input().split())
requests = []
for _ in range(M):
        a,b = map(int,input().split())
        requests.append([a,b])

ans = 1
requests = sorted(requests, key=lambda x:x[1])
b = min(requests, key=lambda x:x[1])[1]
for i in range(M):
        if requests[i][0] < b:
                continue
        else:
                ans += 1
                b = min(requests[i:], key=lambda x:x[1])[1]

print(ans)

### FIXED CODE ###

N,M = map(int,input().split())
requests = []
for _ in range(M):
        a,b = map(int,input().split())
        requests.append([a,b])

ans = 1
requests = sorted(requests, key=lambda x:x[1])
b = requests[0][1]
for i in range(M):
        if requests[i][0] < b:
                continue
        else:
                ans += 1
                b = requests[i][1]

print(ans)
### BUGGY CODE ###

import math
CONST = 1000000007
n,m = map(int,input().split())
lis = []
prev = -1
for _ in range(m):
    a = int(input())
    if prev + 1 == a:
        print(0)
        exit()
    lis.append(a-prev-2)
    prev = a
lis.append(n-prev-1)


ans = 1
for v in lis:
    if v == 0: continue
    way = 0
    for two in range(v//2+1):
        one = v - two * 2
        comb = (math.factorial(one+two) // (math.factorial(one) * math.factorial(two))) % CONST
        way = (way + comb) % CONST
    ans = (ans * way) % CONST
print(ans)


### FIXED CODE ###

import math
from collections import deque

memo = deque([1, 2])
floor = 1
def search(x):
    global memo, floor
    while x > floor:
        memo.append(memo[-1] + memo[-2])
        floor += 1
    return memo[x-1]

CONST = 1000000007
n,m = map(int,input().split())
lis = []
prev = -1
for _ in range(m):
    a = int(input())
    if prev + 1 == a:
        print(0)
        exit()
    lis.append(a-prev-2)
    prev = a
lis.append(n-prev-1)


ans = 1
for v in lis:
    if v == 0: continue
    ans = (ans * search(v)) % CONST
print(ans)
### BUGGY CODE ###

N=int(input())
A=[]
for i in range(N):
  tmp=float(input())*10**9
  A.append(int(tmp))

dat=[[0]*19 for _ in range(19)]  
rui=[[0]*19 for _ in range(19)]

B=[]

for i in range(N):
  dev2,dev5=0,0
  while A[i]%2==0 or dev2>=18:
    dev2+=1
    A[i]//=2
  while A[i]%5==0 or dev5>=18:
    dev5+=1
    A[i]//=5
  dat[dev2][dev5]+=1
  B.append([dev2,dev5])
  
for i in range(19):
  for j in range(19):
    for k in range(i+1):
      for l in range(j+1):
        rui[k][l]+=dat[i][j]
  
ans=0
for i in range(N):
  dev2,dev5=B[i]
  t_dev2,t_dev5=18-dev2,18-dev5
  if dev2>=t_dev2 and dev5>=t_dev5:
    ans-=1
  ans+=rui[t_dev2][t_dev5]

print(ans//2)
  
  
    
    

### FIXED CODE ###

N=int(input())
A=[]
for i in range(N):
  #tmp=float(input())*10**9
  inp=input()
  ten=inp.find(".")
  L=len(inp)
  batu=9
  if ten!=-1:
    batu-=L-ten-1
  inp=inp.replace(".","")
  inp=int(inp)
  inp*=10**batu
  A.append(inp)

#print(A)

dat=[[0]*19 for _ in range(19)]  
rui=[[0]*19 for _ in range(19)]

B=[]

for i in range(N):
  dev2,dev5=0,0
  while A[i]%2==0 and dev2<18:
    dev2+=1
    A[i]//=2
  while A[i]%5==0 and dev5<18:
    dev5+=1
    A[i]//=5
  dat[dev2][dev5]+=1
  B.append([dev2,dev5])
  
for i in range(19):
  for j in range(19):
    for k in range(i+1):
      for l in range(j+1):
        rui[k][l]+=dat[i][j]
  
ans=0
for i in range(N):
  dev2,dev5=B[i]
  t_dev2,t_dev5=18-dev2,18-dev5
  if dev2>=t_dev2 and dev5>=t_dev5:
    ans-=1
  ans+=rui[t_dev2][t_dev5]

print(ans//2)
### BUGGY CODE ###

class Solver(object):
    def __init__(self):
        self.n = int(input())
        self.a_s = list(map(int, input().split(" ")))
        self._sadness = {}

    def solve(self):
        b = 0
        current = self.sadness(b)
        left = self.sadness(b-1)
        right = self.sadness(b+1)
        reset_counter = 0
        momentum = 1
        previous = 0  # -1 => left, 1 = right
        while True:
            # print("{}: {} {} {}".format(b, left, current, right))
            if (left >= current) and (right >= current):
                print(current)
                return
            elif left < right:  # go left
                if reset_counter < 4:
                    if previous == -1:
                        momentum *= 2
                    else:
                        reset_counter += 1
                        momentum = 1
                    previous = -1
                b -= momentum
            else:  # go right
                if reset_counter < 4:
                    if previous == 1:
                        momentum *= 2
                    else:
                        reset_counter += 1
                        momentum = 1
                    previous = 1
                b += momentum
            current = self.sadness(b)
            left = self.sadness(b-1)
            right = self.sadness(b+1)
        
    def sadness(self, b):
        if b not in self._sadness:
            self._sadness[b] = sum(abs(self.a_s[i] - (b+i+1)) for i in range(self.n))
        return self._sadness[b]


if __name__ == "__main__":
    s = Solver()
    s.solve()

### FIXED CODE ###

class Solver(object):
    def __init__(self):
        self.n = int(input())
        self.a_s = list(map(int, input().split(" ")))
        self._sadness = {}

    def solve(self):
        array = self.a_s.copy()
        for i in range(self.n):
            array[i] -= i + 1
        array.sort()
        b = array[len(array) // 2]
        print(self.sadness(b))
        
    def sadness(self, b):
        if b not in self._sadness:
            self._sadness[b] = sum(abs(self.a_s[i] - (b+i+1)) for i in range(self.n))
        return self._sadness[b]


if __name__ == "__main__":
    s = Solver()
    s.solve()
### BUGGY CODE ###

# -*- coding: utf-8 -*-
s = str(input())
q = int(input())
l = []
for i in range(q):
  qy = input().split()
  l.append(qy)
  
st = s
count = 0
for i in range(q):
  k = l[i][0]
  if(k == '1'):
    count += 1
  elif(k == '2'):
    c = count % 2
    d = int(l[i][1]) 
    e = l[i][2]
    if(c + d == 1 or c + d == 3):
      st = e + st
    elif(c + d == 2):
      st = st + e

if(count % 2 == 1):
  st = st[::-1]
      
print(st)

### FIXED CODE ###

# -*- coding: utf-8 -*-
s = str(input())
q = int(input())  
st = s
sth = s
sth2 = ""
stm = ""
stm2 = ""
count = 0
flagh = 0
flagm = 0
for i in range(q):
  k = input().split()
  if(k[0] == '1'):
    count = (count + 1) % 2
  else:
    c = count - 2
    d = int(k[1]) 
    e = k[2]
    if(c + d != 0):
      sth = e + sth
      if(len(sth) > 5000 and flagh == 0):
        flagh = 1
        sth2 = sth
        sth = ""
    else:
      stm = stm + e
      if(len(stm) > 5000 and flagm == 0):
        flagm = 1
        stm2 = stm
        stm = ""
      

st = sth + sth2 + stm2 + stm
if(count == 1):
  st = st[::-1]
  
print(st)
### BUGGY CODE ###

N,M=map(int,input().split())
a=[int(input()) for i in range(M)]
dp=[0]*(N+1)
dp[0]=1
anlist=[]
inf=10**9+7
if 1 not in a:
  dp[1]=1
else:
  dp[1]=0
for i in range(2,N+1):
  if i in a:
    continue
  else:
    dp[i]=dp[i-1]+dp[i-2]
for i in dp:
  i=i%inf
  anlist.append(i)
ans=anlist[N]%inf
print(ans)

  

### FIXED CODE ###

N,M=map(int,input().split())
a=[int(input()) for i in range(M)]
a=set(a)
dp=[0]*(N+1)
dp[0]=1
anlist=[]
inf=10**9+7
if 1 not in a:
  dp[1]=1
else:
  dp[1]=0
for i in range(2,N+1):
  if i in a:
    continue
  else:
    dp[i]=dp[i-1]+dp[i-2]
ans=dp[N]%inf
print(ans)
### BUGGY CODE ###

A, B = map(int, input().split())

maxp = int(max(A,B)**0.5)
num = [x for x in range(2,maxp+1)]
ps = []
while num :
    num_min = min(num)
    if num_min >= maxp :
        break
    ps.append(num_min)
    for i in range(len(num)) :
        if i >= len(num) :
            break
        if num[i]%num_min == 0 :
            num.pop(i)

ans = 1
for p in ps :
    if A%p == 0 and B%p == 0 :
        ans += 1

print(ans)


### FIXED CODE ###

from fractions import gcd
import math
A, B = map(int, input().split())
AB = gcd(A, B)

def prime_factorize(n) :
    res = []
    for i in range(2, int(math.sqrt(n))+1) :
        if n%i == 0 :
            ex = 0
            while (n%i == 0) :
                ex += 1
                n //= i
            res.append([i, ex])
    if n != 1 :
        res.append([n, 1])
    return res

print(len(prime_factorize(AB))+1)
### BUGGY CODE ###

H, N = map(int, input().split())
AB = [list(map(int, input().split())) for i in range(N)]
max_A = max([a for a, _b in AB])

dp = [10**18] * (H+max_A)
dp[0] = 0
#print(dp)

for i in range(H):
  for a, b in AB:
    dp[i+a] = min(dp[i]+b, dp[i+a])
    
print(int(min(dp[H:])))


### FIXED CODE ###

H, N = map(int, input().split())
AB = [list(map(int, input().split())) for i in range(N)]
max_A = max([a for a, _b in AB])

dp = [10**18] * (H+max_A)
dp[0] = 0
#print(dp)

for i in range(H):
  for a, b in AB:
    dp[i+a] = min(dp[i]+b, dp[i+a])
    
print(int(min(dp[H:])))
### BUGGY CODE ###

s = int(input())
for i in range(-1, s):
    for j in range(-1, s):
        if i**5-j**5 == s:
            print(i, j) 
            break

### FIXED CODE ###

x=int(input())
for i in range(-200,200):
  for j in range(-200,200):
    if (i**5)-(j**5)==x:
      print(i,j)
      exit()
### BUGGY CODE ###

import math
from functools import reduce

def gcd(*numbers):
    return reduce(math.gcd,numbers)
Sum=0
K=int(input())
for a in range(1,K+1):
    for b in range(1,K+1):
        for c in range(1,K+1):
           
            Sum+=gcd(a,b,c)
print(Sum)


### FIXED CODE ###

import math
from math import gcd
gcd_sum=[0]*201
ans =0 
k=int(input())
for i in range(1,k+1):
    for j in range(1,k+1):
        gcd_sum[i]+=gcd(i,j)


for a in range(1,k+1):
    for b in range(1,k+1):
            g=gcd(a,b)
            ans+=gcd_sum[g]
print(ans)
### BUGGY CODE ###

H, W, m = map(int, input().split())

H_bomb = [0]*H
W_bomb = [0]*W
S = set()

for _ in range(m):
    h, w = map(int, input().split())
    h, w = h-1, w-1
    S.add(tuple([h, w]))
    H_bomb[h] += 1
    W_bomb[w] += 1

H_max = max(H_bomb)
W_max = max(W_bomb)

H_memo = []
W_memo = []

for i in range(H):
    if H_bomb[i] == H_max:
        H_memo.append(i)

for j in range(W):
    if W_bomb[j] == W_max:
        W_memo.append(j)

ans = H_max + W_max

daburi = 1

for i in H_memo:
    for j in W_memo:
        if tuple([i, j]) not in S:
            daburi = 0
print(ans - daburi)

### FIXED CODE ###

import sys

H, W, m = map(int, input().split())

H_bomb = [0]*H
W_bomb = [0]*W
S = set()

for _ in range(m):
    h, w = map(int, sys.stdin.readline().split())
    h, w = h-1, w-1
    S.add(tuple([h, w]))
    H_bomb[h] += 1
    W_bomb[w] += 1

H_max = max(H_bomb)
W_max = max(W_bomb)

H_memo = []
W_memo = []

for i in range(H):
    if H_bomb[i] == H_max:
        H_memo.append(i)

for j in range(W):
    if W_bomb[j] == W_max:
        W_memo.append(j)

ans = H_max + W_max

for i in H_memo:
    for j in W_memo:
        if tuple([i, j]) not in S:
            print(ans)
            exit()
print(ans-1)
### BUGGY CODE ###

N, K = map(int, input().split())
h = list(map(int,input().split()))

dp = [float("INF")] * N
dp[0] = 0
K = min(N-1, K)
for i in range(1, K+1):
  dp[i] = abs(h[i] - h[0])

for i in range(K, N):
  c = [float("INF")] * (K+1)
  for j in range(1, K+1):
    c[j] = dp[i-j] + abs(h[i] - h[i-j])
  dp[i] = min(c)
  
print(dp[N-1])

### FIXED CODE ###

N, K = map(int, input().split())
h = list(map(int, input().split()))

dp = [10**9]*N
dp[0] = 0

for i in range(1,N):
  for j in range(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 CODE ###

K, N = map(int, input().split())
MOD = 998244353

P = N+K
fact = [1]*(P+1)
rfact = [1]*(P+1)
for i in range(P):
    fact[i+1] = r = ((i+1) * fact[i]) % MOD
    rfact[i+1] = pow(r, MOD-2, MOD)

def comb(n, k):
    return fact[n] * rfact[k] * rfact[n-k] % MOD

pow2 = [1]*(P+1)
r = 1
for i in range(P):
    r = pow2[i+1] = (r * 2) % MOD

def calc(A):
    M = A//2
    r = 0
    if A % 2:
        p = K - 2*M + N - 2
        for m in range(max(0, 2*M+2-K), min(M, N-1)+1):
            r += pow2[m] * comb(M, m) * (comb(p, N-m) + comb(p-1, N-m-1)) % MOD
        if 2*M+2-K <= N <= M:
            r += pow2[N] * comb(M, N) % MOD
    else:
        p = K - 2*M + N - 1
        for m in range(max(0, 2*M+1-K), min(N, M)+1):
            r += pow2[m] * comb(M, m) * comb(p, N-m) % MOD
    return r % MOD
ans = []
for i in range(2, 2*K+1):
    if i <= K:
        ans.append(calc(i - 1))
    else:
        ans.append(calc(2*K - i + 1))
print(*ans, sep='\n')

### FIXED CODE ###

K, N = map(int, input().split())
MOD = 998244353

P = N+K
fact = [1]*(P+1)
rfact = [1]*(P+1)
for i in range(P):
    fact[i+1] = r = ((i+1) * fact[i]) % MOD
    rfact[i+1] = pow(r, MOD-2, MOD)

def comb(n, k):
    return fact[n] * rfact[k] * rfact[n-k] % MOD

def h(n, k):
    if n < 0 or k < 0:
        return 0
    return comb(n+k, k)

def calc(A):
    M = A//2
    r = 0
    if A % 2:
        p = K - 2*M + N - 2
        for m in range(M+1):
            if K-2*M-2+m < 0 or N-m < 0:
                continue
            r += pow(2, m, MOD) * comb(M, m) * (h(K-2*M-2+m, N-m) + h(K-2*M-2+m, N-m-1)) % MOD
    else:
        p = K - 2*M + N - 1
        for m in range(M+1):
            if K-2*M-1+m < 0 or N-m < 0:
                continue
            r += pow(2, m, MOD) * comb(M, m) * h(K-2*M-1+m, N-m) % MOD
    return r % MOD
ans = []
for i in range(2, 2*K+1):
    if i <= K:
        ans.append(calc(i - 1))
    else:
        ans.append(calc(2*K - i + 1))
print(*ans, sep='\n')
### BUGGY CODE ###

def main():
    l = int(input())
    li = []
    b = input()
    for i in range(l):
      li.append(int(b[i]))
    for j in range(l):
      for i in range(l-j-1):
        li[i] = abs(li[i] - li[i+1])
    print(li[0])

if __name__ == '__main__':
    main()

### FIXED CODE ###

N = int(input())
a = list(map(int, list(input())))
 
while N != 0:
	digit = 1
	while digit < N // 2:
		digit *= 2
 
	x = []
	for i in range(digit, N):
		x.append(abs(a[i - digit] - a[i]))
 
	a = x
	N -= digit
	if len(x) == 1:
		break
 
print(a[0])
### BUGGY CODE ###

from operator import itemgetter
n=int(input())
d=[]
judge=True
bag=[]
for i in range(n):
    a,b=map(int,input().split())
    d.append([a,b])
d.sort(key=itemgetter(1))
        
for j in range(len(d)):
    bag.append(d[j][0])
    if sum(bag)>d[j][1]:
        judge=False
else:
    if judge==True:
        print("Yes")
    else:
        print("No")

### FIXED CODE ###

n=int(input())
bag=[]
ans="Yes"
total=0
for i in range(n):
    a,b=map(int,input().split())
    bag.append([a,b])
d=sorted(bag, key=lambda x:x[1])

for j in range(n):
    total=total+d[j][0]
    if total>d[j][1]:
        ans="No"
        break

print(ans)