結果

問題 No.3229 Liar Game Comibination
ユーザー tassei903
提出日時 2025-08-08 21:55:59
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 5,139 bytes
コンパイル時間 729 ms
コンパイル使用メモリ 82,400 KB
実行使用メモリ 101,980 KB
最終ジャッジ日時 2025-08-08 21:56:16
合計ジャッジ時間 8,214 ms
ジャッジサーバーID
(参考情報)
judge4 / judge1
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 19 TLE * 1 -- * 9
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 #

import sys
input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
yes = lambda :print("yes");Yes = lambda :print("Yes");YES = lambda : print("YES")
no = lambda :print("no");No = lambda :print("No");NO = lambda : print("NO")
#######################################################################
from typing import Optional
import typing


class BitSet:
    """64 Bit"""

    def __init__(self, n: int):
        self.n = n
        self.buf = [0] * ((n + 63) // 64)

    def __getitem__(self, idx: int) -> int:
        return self.buf[idx >> 6] >> (idx & 0x3F) & 1

    def __setitem__(self, idx: int, b: int) -> None:
        # assert b == 0 or b == 1
        if b:
            self.buf[idx >> 6] |= 1 << (idx & 0x3F)
        else:
            self.buf[idx >> 6] &= ~(1 << (idx & 0x3F))

    def __and__(self, other: "BitSet") -> "BitSet":
        return self.__xor__(other)

    def __or__(self, other: "BitSet") -> "BitSet":
        for i in range(len(self.buf)):
            self.buf[i] |= other.buf[i]
        return self

    def __xor__(self, other: "BitSet") -> "BitSet":
        for i in range(len(self.buf)):
            self.buf[i] ^= other.buf[i]
        return self

    def tostr(self) -> str:
        res = ["1" if self[i] else "0" for i in range(self.n)]
        return "".join(res)

    def copy(self) -> "BitSet":
        res = BitSet(self.n)
        res.buf = self.buf[:]
        return res




class BitMatrix:
    def __init__(self, n: int, m: int):
        self.n = n
        self.m = m
        self.flip = False
        if n > m:
            self.flip = True
            n, m = m, n
        self.bss = [BitSet(m) for _ in range(n)]

    def __getitem__(self, idx: int) -> BitSet:
        return self.bss[idx]

    @staticmethod
    def from_input(n: int, m: int) -> "BitMatrix":
        res = BitMatrix(n, m)
        for i in range(n):
            row = input()
            # assert len(row) == m
            for j, c in enumerate(row):
                if c == "1":
                    res.set(i, j, 1)
        return res

    @staticmethod
    def from_str(s: list[str]) -> "BitMatrix":
        n = len(s)
        m = len(s[0])
        res = BitMatrix(n, m)
        for i in range(n):
            for j, c in enumerate(s[i]):
                if c == "1":
                    res.set(i, j, 1)
        return res

    def copy(self) -> "BitMatrix":
        res = BitMatrix(0, 0)
        res.n, res.m, res.flip = self.n, self.m, self.flip
        res.bss = [bs.copy() for bs in self.bss]
        return res

    def tostr(self) -> str:
        res = []
        for row in self.bss:
            res.append(row.tostr())
        return "\n".join(res)

    def set(self, i: int, j: int, x: int) -> None:
        # assert x == 0 or x == 1
        if self.flip:
            i, j = j, i
        # assert 0 <= i < self.n
        # assert 0 <= j < self.m
        self.bss[i][j] = x

    def get(self, i: int, j: int) -> int:
        if self.flip:
            i, j = j, i
        # assert 0 <= i < self.n
        # assert 0 <= j < self.m
        return self.bss[i][j]

    def rank(self):
        if self.n == 0 or self.m == 0:
            return 0
        n, m = (self.m, self.n) if self.flip else (self.n, self.m)
        nonzero = []
        lead = []
        for i in range(n):
            ai = self.bss[i].copy()
            for aj, z in zip(nonzero, lead):
                if ai[z]:
                    ai ^= aj
            bj = -1
            for j in range(m):
                if ai[j]:
                    bj = j
                    break
            if bj >= 0:
                nonzero.append(ai.copy())
                lead.append(bj)
        return len(nonzero)

    def det(self) -> int:
        assert self.n == self.m
        tmp = self.copy()
        for i in range(self.n):
            for k in range(i + 1, self.n):
                if tmp.get(k, i):
                    tmp.bss[i], tmp.bss[k] = tmp.bss[k], tmp.bss[i]
                    break
            if not tmp.get(i, i):
                return 0
            for k in range(i + 1, self.n):
                if tmp.get(k, i):
                    tmp.bss[k] ^= tmp.bss[i]
        return 1

    def inv(self) -> Optional["BitMatrix"]:
        assert self.n == self.m
        tmp = BitMatrix(self.n, self.n << 1)
        tmp.flip = self.flip
        tmp.bss[: self.m] = self.bss[:]
        for i in range(self.n):
            tmp.set(i, i + self.n, 1)
        for i in range(self.n):
            for k in range(i + 1, self.n):
                if tmp.get(k, i):
                    tmp.bss[i], tmp.bss[k] = tmp.bss[k], tmp.bss[i]
            if not tmp.get(i, i):
                return None
            for k in range(self.n):
                if k != i and tmp.get(k, i):
                    tmp.bss[k] ^= tmp.bss[i]
        res = BitMatrix(self.n, self.n)
        for i in range(self.n):
            for j in range(self.n):
                if tmp.get(i, j + self.n):
                    res.set(i, j, 1)
        return res

n, m, k = na()

A = BitMatrix.from_input(m, n)

print(pow(2, n - A.rank(), k))
0