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| 1 | +#include<bits/stdc++.h> |
| 2 | +#include<bits/extc++.h> |
| 3 | +#define ms(x,v) memset((x),v,sizeof(x)) |
| 4 | +#define INF 0x3f3f3f3f |
| 5 | +using namespace std; |
| 6 | +using namespace __gnu_pbds; |
| 7 | + |
| 8 | +const int MAXN = 100+10; |
| 9 | +typedef long long LL; |
| 10 | + |
| 11 | +typedef tree<pair<LL,int>, |
| 12 | +null_type, |
| 13 | +less<pair<LL,int>>, |
| 14 | +rb_tree_tag, |
| 15 | +tree_order_statistics_node_update> ordered_tree; |
| 16 | + |
| 17 | + |
| 18 | + |
| 19 | + |
| 20 | +void solve(){ |
| 21 | + int n; |
| 22 | + cin >> n; |
| 23 | + vector<int> a(n); |
| 24 | + for(int i=0 ; i<n ; ++i) |
| 25 | + cin >> a[i]; |
| 26 | + |
| 27 | + ordered_tree se; |
| 28 | + vector<int> ans(n); |
| 29 | + ans[0] =1; |
| 30 | + se.insert(make_pair(a[0],0)); |
| 31 | + |
| 32 | + // const auto ok = [se](int h){ |
| 33 | + // cout << h << "\n"; |
| 34 | + // cout << se.size() <<" " << se.order_of_key(make_pair(h-1,INF)) <<"\n"; |
| 35 | + // return se.size() - se.order_of_key(make_pair(h-1,INF)) >= h; |
| 36 | + // }; |
| 37 | + for(int i=1 ; i<n ; ++i){ |
| 38 | + se.insert(make_pair(a[i],se.size())); |
| 39 | + |
| 40 | + int left = ans[i-1]-1; |
| 41 | + int right = i+1; |
| 42 | + // if(i==5 ) |
| 43 | + // for(const auto & e : se) |
| 44 | + // cout << e.first << " "<< e.second << "\n"; |
| 45 | + while(left <= right){ |
| 46 | + int mid = (left + right) >>1; |
| 47 | + bool ok = se.size() - se.order_of_key(make_pair(mid-1,INF)) >= mid; |
| 48 | + if(ok)left = mid +1; |
| 49 | + else right = mid -1; |
| 50 | + } |
| 51 | + ans[i] = left - 1; |
| 52 | + } |
| 53 | + for(int i=0 ; i<n ; ++i) |
| 54 | + cout << " " << ans[i]; |
| 55 | + cout << '\n'; |
| 56 | +} |
| 57 | + |
| 58 | + |
| 59 | + |
| 60 | + |
| 61 | + |
| 62 | +int main(){ |
| 63 | + ios :: sync_with_stdio(0); |
| 64 | + cin.tie(0); |
| 65 | + // cout.tie(0); |
| 66 | + std::cout.precision(10); |
| 67 | + std::cout.setf( std::ios::fixed, std:: ios::floatfield ); |
| 68 | + int T; |
| 69 | + cin >> T; |
| 70 | + for(int tt =1 ; tt <=T ; ++tt) |
| 71 | + { |
| 72 | + cout << "Case #" << tt << ": "; |
| 73 | + solve(); |
| 74 | + } |
| 75 | + return 0; |
| 76 | +} |
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