for s in[*open(0)][2::2]:
print('YNEOS'[sorted(a:=s.split(),key=int)==a::2])
#include<iostream>
using namespace std;
bool sorted(long int a[],int n){
bool tf=true;
for(int i=0;i<n-1;i++){
if(a[i]>a[i+1]) tf=false;
}
return tf;
}
int main()
{
int t;
cin>>t;
while(t--){
int n;
cin>>n;
long int a[n];
for(int i=0;i<n;i++) cin>>a[i];
if(sorted(a,n)){
cout<<"NO"<<endl;
}
else cout<<"YES"<<endl;
}
return 0;
}
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