// https://atcoder.jp/contests/arc084/tasks/arc084_d
//
#![allow(unused_imports)]
use std::io::*;
use std::io::Write;
use std::fmt::*;
use std::str::*;
use std::cmp::*;
use std::collections::*;

// Input macros.
// Original by tanakh: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
#[allow(unused_macros)]
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

#[allow(unused_macros)]
macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};

    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };

    ($iter:expr, mut $var:ident : $t:tt $($r:tt)*) => {
        let mut $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

#[allow(unused_macros)]
macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };

    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };

    ($iter:expr, [ next / $t:tt ]) => {
        {
            let len = read_value!($iter, usize);
            (0..len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
        }
    };

    ($iter:expr, switch) => {
        {
            let ty = read_value!($iter, i32);
            if ty == 1 {
                vec![ty, read_value!($iter, i32), read_value!($iter, i32)]
            } else if ty == 2 {
                vec![ty, read_value!($iter, i32)]
            } else {
                vec![ty, read_value!($iter, i32)]
            }
        }
    };

    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };

    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };

    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}

#[allow(unused_macros)]
macro_rules! read_line {
    ($t:tt) => {
        {
            let mut s = String::new();
            std::io::stdin().read_line(&mut s).unwrap();
            s.trim_right().parse::<$t>().unwrap()
        }
    }
}

#[allow(unused_macros)]
macro_rules! dvec {
    ($t:expr ; $len:expr) => {
        vec![$t; $len]
    };

    ($t:expr ; $len:expr, $($rest:expr),*) => {
        vec![dvec!($t; $($rest),*); $len]
    };
}

#[allow(unused_macros)]
macro_rules! ifv {
    ($t:expr, $a:expr, $b: expr) => {
        if $t { $a } else { $b }
    }
}

#[allow(unused_macros)]
macro_rules! fill {
    ($t:expr, $v:expr) => {
        for i in 0..$t.len() {
            $t[i] = $v;
        }
    };
}

#[allow(unused_macros)]
macro_rules! join {
    ($t:expr, $glue:expr) => {
        $t.into_iter().map(|w| w.to_string()).collect::<Vec<_>>().join($glue)
    };
}

#[allow(unused_macros)]
macro_rules! debug {
    ($($a:expr),*) => {
        println!(concat!($(stringify!($a), " = {:?}, "),*), $($a),*);
    }
}

// ===

fn polymod(a: Vec<i32>, mut b: Vec<i32>) -> Vec<i32> {
    if a.len() > b.len() {
        return b;
    }
    let al = a.len();
    let bl = b.len();
    assert!(a[0] == 1 && b[0] == 1);

    for i in 0..bl-al+1 {
        if b[i] == 1 {
            for j in 0..al {
                b[i+j] ^= a[j];
            }
        }
    }

    let mut res = vec![];
    for i in bl-al+1..bl {
        if b[i] == 1 {
            for j in i..bl {
                res.push(b[j]);
            }
            break;
        }
    }
    res
}

fn polygcd(a: Vec<i32>, b: Vec<i32>) -> Vec<i32> {
    if b.len() == 0 {
        return a;
    } else {
        let bb = b.clone();
        polygcd(bb, polymod(b, a))
    }
}

const MOD: i64 = 998244353;

fn main() {
    input! {
        n: usize, x: chars,
        a: [chars; n]
    };

    let a = a.into_iter().map(|s| s.into_iter().map(|c| ifv!(c == '0', 0, 1)).collect::<Vec<_>>()).collect::<Vec<_>>();
    let x = x.into_iter().map(|c| ifv!(c == '0', 0, 1)).collect::<Vec<_>>();

    let mut g = vec![];
    for i in 0..n {
        g = polygcd(g, a[i].clone());
    }

    let mut p2 = vec![0; 4010];
    p2[0] = 1;
    for i in 1..4010 {
        p2[i] = p2[i-1] * 2 % MOD;
    }

    let xl = x.len();
    let gl = g.len();
    let mut ans = 0;
    if gl <= xl {
        let w = xl-gl;
        for i in 0..w+1 {
            if x[i] == 1 {
                ans += p2[w-i];
                ans %= MOD;
            }
        }

        let mut xx = vec![0; xl];
        for i in 0..w+1 {
            if xx[i] ^ x[i] == 1 {
                for j in 0..gl {
                    xx[i+j] ^= g[j];
                }
            }
        }

        let mut ov = false;
        for i in 0..gl-1 {
            if xx[w+1+i] > x[w+1+i] {
                ov = true;
                break;
            } else if xx[w+1+i] < x[w+1+i] {
                break;
            }
        }
        if !ov {
            ans += 1;
        }
    } else {
        // zero
        ans = 1;
    }
    println!("{}", ans % MOD);
}


Measured memory_bytes: 4732