D.cpp

#include <bits/stdc++.h>
using namespace std;

//----------------------------------- DEBUG -----------------------------------
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
  ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
  *this << "[";
  for (auto it = d.b; it != d.e; ++it)
    *this << ", " + 2 * (it == d.b) << *it;
  ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
// debug & operator << (debug & dd, P p) { dd << "(" << p.x << ", " << p.y << ")"; return dd; }

//----------------------------------- END DEBUG --------------------------------



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

    int t;
    cin >> t;
    while(t--) {
        int n;
        cin >> n;
        vector<int> a(n);
        for(int i=0;i<n;i++) {
            cin >> a[i];
        }

        int left = 0, right = n - 1;
        vector<int> cnt(n + 1);
        for(auto u: a) {
            cnt[u]++;
        }

        vector<bool> ans(n, false);
        if(cnt[1] >= 1) {
            ans[n - 1] = true;
        }
        for(int i=2;i<=n;i++) {
            if(cnt[i] >= 1 and cnt[i-1] == 1) {
                if(a[left] == i-1) {
                    left++;
                    ans[n-i] = true;
                }
                else if(a[right] == i-1) {
                    right--;
                    ans[n-i] = true;
                }
                else {
                    break;
                }
            }
            else {
                break;
            }
        }

        bool all_present = true;
        for(int i=1;i<=n;i++) {
            if(cnt[i] == 0) {
                all_present = false;
                break;
            }
        }

        if(all_present) {
            ans[0] = true;
        }

        for(int i=0;i<n;i++) {
            cout << ans[i];
        }
        cout << '\n';
    }
}