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- //LIS in any partially ordered domain
- //https://www.quora.com/How-can-the-SPOJ-problem-LIS2-be-solved
- //https://csit.am/2009/proceedings/2DMCA/5.pdf
- //https://core.ac.uk/download/pdf/82062831.pdf
- #include <iostream>
- #include <map>
- using namespace std;
- struct NiceDay{
- map<int,int> M;
- bool find(int x, int y){
- map<int,int>::iterator lb = M.lower_bound(x);
- if (lb == M.begin())
- return false;
- lb--;
- if (lb->second < y)
- return true;
- else
- return false;
- }
- void add(int x, int y){
- map<int,int>::iterator lb = M.lower_bound(x);
- map<int,int>::iterator i2 = lb;
- while (i2 != M.end() && i2->second >= y)
- i2++;
- M.erase(lb,i2);
- M.insert(pair<int,int>(x,y));
- }
- };
- int main(){
- static NiceDay a[100010];
- int N, x, y;
- cin >> N >> x >> y;
- a[1].add(x,y);
- int L = 1;
- for(int i = 0; i < N-1; ++i){
- cin >> x >> y;
- int l = 0;
- int u = L;
- int m = 0;
- while(u > l){
- m = (l+u+1)/2;
- if(a[m].find(x,y))
- l = m;
- else
- u = m-1;
- }
- if (L <= l)
- L = l+1;
- a[l+1].add(x,y);
- }
- printf("%d\n", L);
- }
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