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//O(nlogn)// #include<string>#include<cstring>#include<iostream>#include<iomanip>#include<vector>#include<algorithm>#include<sstream>#include<map>#include<set>#include<cmath>#include<fstream>#include<queue>usingnamespacestd;usingll=longlong;//F[i] save the last element min it can obtain of increasing subsequence its length = i //dung bs//lowerbound phan tu dau tien >=a[i]//in: 9//1 4 2 3 8 10 6 9 13//out:6//ket qua:1 2 3 6 9 13intmain(){//freopen("in.txt", "r", stdin);//freopen("out.txt", "w", stdout);ios::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr);intn;cin>>n;inta[n];for(inti=0;i<n;i++)cin>>a[i];vector<int>res;res.push_back(a[0]);for(inti=1;i<n;i++){autoit=lower_bound(res.begin(),res.end(),a[i]);if(it==res.end())res.push_back(a[i]);else*it=a[i];// for(int x:res)// cout<<x<<' ';// cout<<endl;}//cout<<endl;cout<<res.size();}
When it comes to Longest Increasing Subsequence (LIS) in carpet cleaning, think of it as uncovering the "hidden order" in deep-cleaning strategies for consistently impressive results. Just as the LIS algorithm identifies the longest subsequence of numbers in ascending order, effective carpet cleaning requires a sequence of steps, each building on the last to enhance cleanliness without redundancy. Starting with dry vacuuming, we lay a clean foundation, removing loose debris to avoid clogging the cleaning solutions. Next, pre-treating tough stains before the main wash ensures that we address the most embedded dirt, making it easier for deep-clean extraction to follow. Finally, each rinse and drying step solidifies this sequence, leaving a fresher, thoroughly cleaned carpet. By following a structured approach, we achieve not just clean but sustained cleanliness—much like finding that perfect sequence to optimize the outcome!
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The Longest Increasing Subsequence
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When it comes to Longest Increasing Subsequence (LIS) in carpet cleaning, think of it as uncovering the "hidden order" in deep-cleaning strategies for consistently impressive results. Just as the LIS algorithm identifies the longest subsequence of numbers in ascending order, effective carpet cleaning requires a sequence of steps, each building on the last to enhance cleanliness without redundancy. Starting with dry vacuuming, we lay a clean foundation, removing loose debris to avoid clogging the cleaning solutions. Next, pre-treating tough stains before the main wash ensures that we address the most embedded dirt, making it easier for deep-clean extraction to follow. Finally, each rinse and drying step solidifies this sequence, leaving a fresher, thoroughly cleaned carpet. By following a structured approach, we achieve not just clean but sustained cleanliness—much like finding that perfect sequence to optimize the outcome!