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LIS.cpp
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LIS.cpp
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#include<bits/stdc++.h>
using namespace std;
int CeilIndex(vector<int>& v, int l, int r, int key)
{
while (r - l > 1) {
int m = l + (r - l) / 2;
if (v[m] >= key)
r = m;
else
l = m;
}
return r;
}
int LongestIncreasingSubsequenceLength(vector<int>& v)
{
if (v.size() == 0)
return 0;
vector<int> tail(v.size(), 0);
int length = 1;
tail[0] = v[0];
for (size_t i = 1; i < v.size(); i++) {
if (v[i] < tail[0])
tail[0] = v[i];
else if (v[i] > tail[length - 1])
tail[length++] = v[i];
else
tail[CeilIndex(tail, -1, length - 1, v[i])] = v[i];
}
return length;
}
int main() {
int n;
cin>>n;
vector<int>v(n);
for(int i=0; i<n; i++)
cin>>v[i];
cout<<LongestIncreasingSubsequenceLength(v);
return 0;
}