#include <bits/stdc++.h>

using namespace std;

#define st first
#define nd second
using ll = long long;
using pii = pair<int,int>;

const int N = 1e6 + 5;

int n;
int w[N];
int w2[N];
vector<pii> adj[N];
int cnt;
bool vis[N];
int col[N];
int cmp[N];
bool ans;
char ans2[N];
vector<string> ans3;

bool dfs(int v, int c){
    vis[v] = true;
    col[v] = c;
    cmp[v] = cnt;
    for(auto& [u, w] : adj[v]){
        if(vis[u]){
            if(col[u] != col[v] ^ w){
                return false;
            }
        }
        else{
            if(!dfs(u, c^w)){
                return false;
            }
        }
    }
    return true;
}

int main(){
    cin.tie(0);
    ios_base::sync_with_stdio(0);

    int t;
    cin >> t;
    while(t--) {
        cin >> n;

        for(int i=0;i<n;i++){
            adj[i].clear();
        }
        fill(w2,w2+n,0);
        ans = true;

        for(int i=0;i<n;i++){
            cin >> w[i];
        }

        int l=0,r=0;
        for(int i=1;i<n-1;i++){
            if(i != 1) w2[i] = min(r-i, w2[r-i+l]);
            while(i-w2[i]-1 >= 0 && i+w2[i]+1 < n && w2[i] < w[i]){
                adj[i-w2[i]-1].emplace_back(i+w2[i]+1, 0);
                adj[i+w2[i]+1].emplace_back(i-w2[i]-1, 0);
                w2[i]++;
            }
            if(i-w2[i]-1 >= 0 && i+w2[i]+1 < n){
                adj[i-w2[i]-1].emplace_back(i+w2[i]+1, 1);
                adj[i+w2[i]+1].emplace_back(i-w2[i]-1, 1);
            }
            if(i+w2[i] > r){
                l = i-w2[i], r = i+w2[i];
            }
        }

        cnt = 0;
        fill(vis,vis+n,0);
        fill(col,col+n,0);
        fill(cmp,cmp+n,0);
        ans = true;
        for(int i=0;i<n;i++){
            if(!vis[i]){
                ans &= dfs(i, 0);
                cnt++;
            }
        }

        if(!ans){
            cout << "0\n";
        }
        else{
            for(int i=0;i<n;i++){
                cmp[i] = cnt-1-cmp[i];
            }

            ans3.clear();
            for(int m=0;m<(1<<cnt);m++){
                for(int i=0;i<n;i++){
                    ans2[i] = char('0' + ((m>>cmp[i]&1)^(col[i])));
                }
                l = 0, r = 0;
                fill(w2,w2+n,0);
                for(int i=0;i<n;i++){
                    if(i > 0){
                        w2[i] = min(r-i, w2[r-i+l]);
                        while(i-w2[i]-1 >= 0 && i+w2[i]+1 < n && ans2[i-w2[i]-1] == ans2[i+w2[i]+1]) w2[i]++;
                        if(i+w2[i] > r){
                            l = i-w2[i], r = i+w2[i];
                        }
                    }
                }
                bool chk = true;
                for(int i=0;i<n;i++){
                    chk &= w[i] == w2[i];
                }
                if(chk){
                    string s;
                    for(int i=0;i<n;i++){
                        s += ans2[i];
                    }
                    ans3.push_back(s);
                }
            }

            cout << ans3.size() << "\n";
            for(auto v : ans3){
                cout << v << "\n";
            }
        }
    }

    return 0;
}