結果

問題 No.3081 Make Palindromic Multiple
ユーザー lif4635
提出日時 2025-03-28 22:57:41
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 79 ms / 1,000 ms
コード長 4,989 bytes
コンパイル時間 309 ms
コンパイル使用メモリ 82,648 KB
実行使用メモリ 73,972 KB
最終ジャッジ日時 2025-03-28 22:58:01
合計ジャッジ時間 5,060 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 54
権限があれば一括ダウンロードができます

ソースコード

diff # 

# input
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()]

def graph(n:int, m:int, dir:bool=False, index:int=-1) -> list[set[int]]:
    edge = [set() for i in range(n+1+index)]
    for _ in range(m):
        a,b = map(int, input().split())
        a += index
        b += index
        edge[a].add(b)
        if not dir:
            edge[b].add(a)
    return edge

def graph_w(n:int, m:int, dir:bool=False, index:int=-1) -> list[set[tuple]]:
    edge = [set() for i in range(n+1+index)]
    for _ in range(m):
        a,b,c = map(int, input().split())
        a += index
        b += index
        edge[a].add((b,c))
        if not dir:
            edge[b].add((a,c))
    return edge

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")
def acc(a:list[int]):
    sa = [0]*(len(a)+1)
    for i in range(len(a)):
        sa[i+1] = a[i] + sa[i]
    return sa

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

from math import isqrt
from random import randint

def gcd(x, y):
    """ x < y """
    while y:
        x, y = y, x%y
    return x

def is_prime(num):
    """ 1 <= x < 1<<64 """
    if num < 4: return num > 1
    if not num&1: return False
    
    d, s = num-1, 0
    while not d&1:
        d >>= 1
        s += 1
        
    tests = (2,7,61) if num < 4759123141 else (2,325,9375,28178,450775,9780504,1795265022)
        
    for test in tests:
        if test >= num: return True
        t = pow(test, d, num)
        if 1 < t < num-1:
            for _ in range(s-1):
                t = t*t%num
                if t == num-1: break
            else:
                return False
    return True

def find_prime(n):
    b = n.bit_length() - 1
    b = (b >> 2) << 2
    m = (1 << (b >> 3)) << 1
    while True:
        c = randint(1, n - 1)
        y = 0
        g = q = r = 1
        while g == 1:
            x = y
            for _ in range(r):
                y = (y * y + c) % n
            k = 0
            while k < r and g == 1:
                ys = y
                for _ in range(min(m, r - k)):
                    y = (y * y + c) % n
                    q = q * abs(x - y) % n
                g = gcd(q, n)
                k += m
            r <<= 1
        if g == n:
            g = 1
            y = ys
            while g == 1:
                y = (y * y + c) % n
                g = gcd(abs(x - y), n)
        if g == n:
            continue
        if is_prime(g):
            return g
        elif is_prime(n // g):
            return n // g
        else:
            n = g

def primefact(n):
    result = dict()
    for p in range(2, 500):
        if p * p > n:
            break
        c = 0
        while n%p == 0:
            n //= p
            c += 1
        if c:
            result[p] = c
    
    while n > 1 and not is_prime(n):
        p = find_prime(n)
        c = 0
        while n % p == 0:
            n //= p
            c += 1
        result[p] = c
    if n > 1: result[n] = 1
    return result

n = II()
m = n
if n < 10:
    print(1)
    print(n, 1)
    exit()

tmp = 1
d = 1
while n%2 == 0:
    n //= 2
    tmp *= 2
    d += 1

while n%5 == 0:
    n //= 5
    tmp *= 5
    d += 1

print(2)

def calc(d, n, tmp):
    deg = (10**(d+1) - 1) * n
    pf = primefact(deg)
    for p, c in pf.items():
        if tmp * p**c <= 10 ** d:
            tmp *= p**c
            deg //= p**c
        else:
            deg *= p-1
            deg //= p
    s = str(tmp)
    s = "0" * (d - len(s)) + s
    revs = s[::-1]
    # print(deg, d, n)
    if deg > 10 ** 18:
        return False
    print(revs, deg)
    print(s, deg)
    exit()

while True:
    calc(d, n, tmp)
    d += 1
assert deg <= 10 ** 18


# ans = revs*deg + s*deg
# print(n, int(ans) % m)
0