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时间限制2s,空间限制1GB
给出一个$n\times n$的$01$矩阵$c$，求有多少长度为$n$的$01$序列$a,b$，满足$c_{i,j}=a_i$或$c_{i,j}=b_j$，答案对$998244353$取模。
第一行一个整数$n$表示矩阵大小。
接下来$n$行，每行一个长度为$n$的$01$字符串$c_i$,其中第$j$个字符表示$c_{i,j}$。
一行一个整数表示答案对$998244353$取模后的结果。
3 010 101 010
2
$subtask1(5\%):n\leq 10$
$subtask2(15\%):n\leq 20$
$subtask3(40\%):n\leq 300$
$subtask4(5\%)：c矩阵随机$
$subtask5(35\%)：没有特殊限制$
$1\leq n \leq 5000,0\leq c_{i,j}\leq 1$
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