#include <bits/stdc++.h>
using namespace std;
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 (auto &i : a) cin >> i;
    bool ok = false;
    for (int(i) = (0); (i) < (n - 1); ++(i)) {
      if (a[i] <= a[i + 1]) {
        ok = true;
        break;
      }
    }
    if (ok)
      cout << "YES"
           << "\n";
    else
      cout << "NO"
           << "\n";
  }
}
