// Those who cannot remember the past are
// condemned to repeat it (use DP -_-)
// - George Santayana
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
#define ll long long
#define ull unsigned long long
#define MOD 1000000007
#define PI 3.14159265
#define ceil(a, b) ((a / b) + (a % b ? 1 : 0))
#define imin INT_MIN
#define imax INT_MAX
#define llmax LLONG_MAX
#define llmin LLONG_MIN
#define inf 2000000000
#define nl '\n'
#define ppcnt __builtin_popcount
#define ppcntll __builtin_popcountll
#define clz __builtin_clz
#define clzll __builtin_clzll
#define ctz __builtin_ctz
#define ctzll __builtin_ctzll
#define modulo(a, b, mod) ((((a) % mod) * ((b) % mod)) % mod)
#define cnte(v, x) count(all(v), (x))
#define mine(v) min_element(all(v))
#define maxe(v) max_element(all(v))
#define debug(x) cout << "x: " << x << nl;
#define debug2(x, y) cout << "x: " << x << " y: " << y << nl;
#define ordered_set tree<int, null_type, less<>, rb_tree_tag, tree_order_statistics_node_update>
#define ordered_map tree<int, int, less<>, rb_tree_tag, tree_order_statistics_node_update>
//vector<int> dx = {0, 0, 1, -1, 1, 1, -1, -1}, dy = {1, -1, 0, 0, 1, -1, 1, -1};
//vector<int> dx = {0, 0, 1, -1}, dy = {1, -1, 0, 0};
template<typename T = int> istream& operator>>(istream& in, vector<pair<int, int>>& v){
for (auto& [x, y] : v) in >> x >> y;
return in;
}
template<typename T = int> istream& operator>>(istream& in, vector<T>& v){
for (T& i : v) in >> i;
return in;
}
template<typename T = int> ostream& operator<<(ostream& out, const vector<T>& v){
for (const T& x : v)
out << x << ' ';
return out;
}
template<typename T = pair<ll, ll>> ostream& operator << (ostream& out, const vector<pair<ll, ll>>& v){
for(auto& [x, y] : v){
out << x << ' ' << y << nl;
}
return out;
}
void Start_Crushing() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
}
void solve(){
int n; cin >> n;
vector<int> v(n);
vector<pair<ll, ll>> tmp;
for(int i = 0; i < n; i++){
cin >> v[i];
tmp.push_back({v[i] + (i + 1), i + 1});
}
sort(all(tmp), [&](pair<ll, ll>& a, pair<ll, ll>& b){
if(a.first == b.first)
return a.second < b.second;
return a.first < b.first;
});
vector<ll> mini(tmp.size());
mini.back() = tmp.back().second;
for(int i = mini.size() - 2; i >= 0; i--){
mini[i] = min(mini[i + 1], tmp[i].second);
}
for(int i = 0; i < n; i++){
ll target = (i + 1) - v[i];
ll left = -1, right = (int)tmp.size() - 1;
while(left < right - 1){
ll mid = left - (left - right) / 2;
if(tmp[mid].first >= target)
right = mid;
else
left = mid;
}
if(tmp[right].first >= target)
cout << mini[right] << ' ';
else
cout << -1 << ' ';
}
}
int main(){
Start_Crushing();
int t = 1;
/*Multiple test cases?*/ cin >> t;
while (t--) {
solve();
if(!t)
break;
cout << nl;
}
// for(int tc = 1; tc <= t; tc++){
// cout << "Case #" << tc << ": ";
// solve();
// if(tc != t)
// cout << nl;
// }
return 0;
}
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