#1187578 (PyPy3) No.3716 Keep it Integer

• 問題: No.3716 Keep it Integer
• ユーザー: lif4635
• 提出日時: 2026-09-18 21:58:23
• 言語: PyPy3 (7.3.23 + ACL)
• 結果: AC
• 実行時間: 111 ms / 2,000 ms
• コード長: 3,734 bytes
• コンパイル時間: 79 ms
• コンパイル使用メモリ: 82,048 KB
• 実行使用メモリ: 109,704 KB
• 最終ジャッジ日時: 2026-09-18 21:59:24
• 合計ジャッジ時間: 7,340 ms
• ジャッジサーバーID （参考情報）: judge3_0 / judge1_0

ファイルパターン	結果
sample	AC * 3
other	AC * 50

ソースコード

# haru: pypy
import sys
input = sys.stdin.readline
II = lambda : int(input())
MI = lambda : map(int, input().split())
LI = lambda : [int(a) for a in input().split()]
SI = lambda : input().rstrip()
LLI = lambda n : [[int(a) for a in input().split()] for _ in range(n)]
LSI = lambda n : [input().rstrip() for _ in range(n)]
MI_1 = lambda : map(lambda x:int(x)-1, input().split())
LI_1 = lambda : [int(a)-1 for a in input().split()]

mod = 998244353
inf = 1001001001001001001
ordalp = lambda s : ord(s)-65 if s.isupper() else ord(s)-97
ordallalp = lambda s : ord(s)-39 if s.isupper() else ord(s)-97
yes = lambda : print("Yes")
no = lambda : print("No")
yn = lambda flag : print("Yes" if flag else "No")

prinf = lambda ans : print(ans if ans < 1000001001001001001 else -1)
alplow = "abcdefghijklmnopqrstuvwxyz"
alpup = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
alpall = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ"
URDL = {'U':(-1,0), 'R':(0,1), 'D':(1,0), 'L':(0,-1)}
DIR_4 = [[-1,0],[0,1],[1,0],[0,-1]]
DIR_8 = [[-1,0],[-1,1],[0,1],[1,1],[1,0],[1,-1],[0,-1],[-1,-1]]
DIR_BISHOP = [[-1,1],[1,1],[1,-1],[-1,-1]]
prime60 = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59]
sys.set_int_max_str_digits(0)
# sys.setrecursionlimit(10**6)
# import pypyjit
# pypyjit.set_param('max_unroll_recursion=-1')

from collections import defaultdict,deque
from heapq import heappop,heappush
from bisect import bisect_left,bisect_right
DD = defaultdict
BSL = bisect_left
BSR = bisect_right

class BIT:
    __slots__ = ["n", "data"]
    
    def __init__(self, n):
        self.n = n
        self.data = [0]*(n+1)
    
    def build(self, arr):
        for i,a in enumerate(arr):
            self.data[i+1] = a
        for i in range(1, self.n+1):
            if i + (i&-i) <= self.n:
                self.data[i + (i&-i)] += self.data[i]
    
    def add(self, p, x):
        p += 1
        while p <= self.n:
            self.data[p] += x
            p += p& -p
    
    def sum0(self, r):
        s = 0
        while r:
            s += self.data[r]
            r -= r& -r
        return s
    
    def sum(self, l, r):
        s = 0
        while r:
            s += self.data[r]
            r -= r& -r
        while l:
            s -= self.data[l]
            l -= l& -l
        return s
    
    def get(self, p):
        return self.sum0(p+1) - self.sum0(p)

    def bisect_left(self, w):
        """
        not velify
        
        if sum0(n) < w:
            n+1
        else:
            min( x | sum0(x) >= w)
        """
        if w <= 0: return 0
        x = 0
        r = 1 << self.n.bit_length()
        while r:
            if x + r <= self.n and self.data[x + r] < w:
                w -= self.data[x + r]
                x += r
            r >>= 1
        return x + 1
    
    def bisect_right(self, w):
        """
        max( x | sum0(x) <= w)
        """
        assert w >= 0
        x = 0
        r = 1 << self.n.bit_length()
        while r:
            if x + r <= self.n and self.data[x + r] <= w:
                w -= self.data[x + r]
                x += r
            r >>= 1
        return x

    def __str__(self):
        return str([self.get(i) for i in range(self.n)])

"""
常に整数らしい
1 が面倒くさいですカス。
"""

n, xx = MI()
a = LI()

# 自分を含む直前の not 1
nxt = [n] * (n + 1)
for i in reversed(range(n)):
    if a[i] != 1:
        nxt[i] = i
    else:
        nxt[i] = nxt[i + 1]

def calc(i, x):
    j = nxt[i + 1]
    while j < n and x % a[j] == 0:
        x //= a[j]
        j = nxt[j + 1]
    return j


dp = [0] * (n + 2)
dp[calc(-1, xx)] = 1

ans = 1
for i in range(n):
    tmp = ans
    ans = (2 * tmp - dp[i]) % mod
    
    j = calc(i, a[i])
    dp[j] += tmp

print(ans)