#include<bits/stdc++.h>
#define rep(i,x,y) for(int i=x;i<=y;i++)
using namespace std;
#define int long long
const int N = 1e6+10;
const int mod = 998244353;
int qmi(int a,int b) {
    int res = 1;
    for (; b; b >>= 1, a = a * a % mod) {
        if (b & 1)res = res * a % mod;
    }
    return res;
}
vector<int>e[N];
int k,nxt[N],cnt[N],ans,f[N];
void dfs(int u) {
    int x = cnt[u % k] + 1;
    if (u % k == 0 and u != 0)x++;
    f[u]=x;
    //ans = ans * x % mod;

    if(u!=0)cnt[u * 2 % k]++;
    for (auto &v: e[u]) {
        dfs(v);
    }
    if(u!=0)cnt[u * 2 % k]--;
}
void solve(int tc) {
    string s;
    cin >> s >> k;
    s = " " + s;
    int n = s.size();
    for (int i = 0; i < n; i++)e[i].clear();
    e[0].push_back(1);
    for (int i = 2, j = 0; i < n; i++) {
        while (j and s[j + 1] != s[i])j = nxt[j];
        while (2*j >=  i)j = nxt[j];
        if (s[j + 1] == s[i]) {
            j++;
            if (2*j>=i)j = nxt[j];
        }
        nxt[i] = j;
        //cout << i << " " << j << "\n";
        e[j].push_back(i);
    }
    dfs(0);
    ans = 1;
    for (int i = 1; i < n; i++)ans = ans * f[i] % mod;
    cout << ans << "\n";
}
signed main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int tc = 1;
    cin >> tc;
    for (int i = 1; i <= tc; i++) {
        solve(i);
    }
}