#845858 (PyPy3) No.2236 Lights Out On Simple Graph

• 問題: No.2236 Lights Out On Simple Graph
• ユーザー: Shirotsume
• 提出日時: 2023-03-03 22:45:45
• 言語: PyPy3 (7.3.15)
• 結果: WA
• 実行時間: -
• コード長: 5,624 bytes
• コンパイル時間: 319 ms
• コンパイル使用メモリ: 82,208 KB
• 実行使用メモリ: 77,856 KB
• 最終ジャッジ日時: 2024-09-17 23:55:30
• 合計ジャッジ時間: 155,701 ms
• ジャッジサーバーID （参考情報）: judge3 / judge2

ファイルパターン	結果
sample	AC * 3
other	AC * 56 WA * 1

ソースコード

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import sys
from collections import deque, Counter
input = lambda: sys.stdin.readline().rstrip()
ii = lambda: int(input())
mi = lambda: map(int, input().split())
li = lambda: list(mi())
inf = 2 ** 63 - 1
mod = 2
class matrix():
    r = 1
    c = 1
    A = None
    mod = 2
    def __init__(self, r, c, mod = 2):
        self.r = r
        self.c = c
        self.A = [[0] * self.c for _ in range(self.r)]
        if mod is not None:
            self.mod = mod
    
    def makeone(r = 1):
        A = matrix(r, r, mod)
        for i in range(r):
            A[i, i] = 1
        return A
    def __getitem__(self, key):
        rnow, cnow = key
        return self.A[rnow][cnow]
    
    def __setitem__(self, key, value):
        rnow, cnow = key
        self.A[rnow][cnow] = value
    
    def __add__(self, other):
        assert self.r == other.r and self.c == other.c
        ret = matrix(self.r, self.c)
        for i in range(self.r):
            for j in range(self.c):
                ret[i, j] = self[i, j] + other[i, j]
                ret[i, j] %= self.mod
        return ret
    def __sub__(self, other):
        
        assert self.r == other.r and self.c == other.c
        ret = matrix(self.r, self.c)
        for i in range(self.r):
            for j in range(self.c):
                ret[i, j] = self[i, j] - other[i, j]
                ret[i, j] %= self.mod
        return ret
    def __mul__(self, other):
        assert self.c == other.r
        ret = matrix(self.r, other.c)
        for i in range(self.r):
            for j in range(self.c):
                for k in range(other.c):
                    ret[i, k] += self[i, j] * other[j, k]
                    ret[i, k] %= self.mod
        return ret
    def augment(self, other):
        assert self.r == other.r
        X = matrix(self.r, self.c + other.c, mod = self.mod)
        for i in range(self.r):
            for j in range(self.c):
                X[i, j] = self[i, j]
            for j in range(other.c):
                X[i, j + self.c] = other[i, j]
        
        return X
    
    def diminish(self, c):
        X = []
        for i in range(self.r):
            X.append((self.A[i][:c]))
        
        return matrix(self.r, c, mod = self.mod, A = X)
        
    def hakidashi(self):
        for i in range(self.c):
            for j in range(i + 1, self.r):
                if self.A[j][i] != 0:
                    for k in range(self.c):
                        self.A[j][k], self.A[i][k] = self.A[i][k], self.A[j][k]
                    break
        for i in range(self.r):
            for j in range(self.c):
                if self[i, j] != 0:
                    break
            else:
                continue
            K = pow(self[i, j], self.mod - 2, self.mod)
            for to in range(self.c):
                self[i, to] *= K
                self[i, to] %= self.mod
            for i2 in range(self.r):
                if i == i2:
                    continue
                time = self[i2, j]
                for j2 in range(self.c):
                    self[i2, j2] -= time * self[i, j2]
                    self[i2, j2] %= self.mod
            
        return self
    def inv(self):
        assert self.c == self.r
        one = matrix.makeone(r = self.r)
        new = self.augment(one)
        new.hakidashi()
        for i in range(self.r):
            for j in range(self.c):
                if i == j:
                    if new[i, j] != 1:
                        return 0, new
                else:
                    if new[i, j] != 0:
                        return 0, new
        
        X = matrix(self.r, self.c)
        for i in range(self.r):
            for j in range(self.c):
                X[i, j] = new[i, j + self.c]
        return 1, X     
    def lineareq(self, b):
        assert self.r == b.r
        assert b.c == 1
        Y = self.augment(b)
        Y = Y.hakidashi()
        B = [[0] * self.c for _ in range(self.c)]
        ans = [0] * self.c
        flag = [0] * self.c
        for i in range(self.r):
            j = 0
            while j < self.c and Y[i, j] == 0:
                j += 1
            if j == self.c:
                if Y[i, -1] != 0:
                    return None, None
                continue
            flag[j] = 1
            ans[j] = Y[i, -1]
            for k in range(j + 1, self.c):
                if Y[i, k] % self.mod != 0:
                    B[k][j] = (-Y[i, k])% self.mod
                    flag[k] = -1
        for i in range(self.c):
            if  flag[i] != 1:
                B[i][i] = 1
        B=[B[i] for i in range(self.c) if flag[i] != 1]
        return ans,B
    def print(self):
        for v in self.A:
            print(*v)
import sys
input = lambda: sys.stdin.readline().rstrip()
ii = lambda: int(input())
mi = lambda: map(int, input().split())
li = lambda: list(mi())
INF = 2 ** 63 - 1
mod = 2
n, m = mi()
EDGE = [[v - 1 for v in li()] for _ in range(m)]
graph = [[] for _ in range(n)]
for u, v in EDGE:
    graph[u].append(v)
    graph[v].append(u)
c = li()
A = matrix(n, m)
B = matrix(n, 1)
for i, V in enumerate(EDGE):
    u, v = V
    A[u, i] = 1
    A[v, i] = 1
for i in range(n):
    if c[i] == 1:
        B[i, 0] = 1
X, Y = A.lineareq(B)
if X is None:
    print(-1)
    exit()
ans = X.count(1)
if Y:
    import random
    import time
    t1 = time.time()
    while time.time() - t1 < 3.2:
        p = random.randint(0, len(Y) - 1)
        for i in range(m):
            X[i] ^= Y[p][i]
        if ans > X.count(1):
            ans = min(ans, X.count(1))
print(ans)
 
 
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