#include<cstdio> 
#include<cstring>
using namespace std;
int n,m;  
char s[200010];  
int next[200010],dp[200010];  
void getnext(){
    int k=-1,j=0;
    next[0]=-1;
    while(j<m){
        if(k==-1||s[j]==s[k]){
            j++;k++;
            next[j]=k;
        }
        else k=next[k];
    }
}
int main(){
    int T;
    scanf("%d",&T);
    while(T--){
        memset(dp,0,sizeof(dp));
        memset(next,0,sizeof(next));
        scanf("%d",&m);
        scanf("%s",s);
        getnext();
        dp[0]=0;
        int sum=0;
        for(int i=1;i<=m;i++){
            dp[i]=dp[next[i]]+1;
            sum=(sum+dp[i])%10007;
        }
        printf("%d\n",sum); 
    }
}