#include<bits/stdc++.h>
using namespace std;
const int inf = 9999;
int n, seq[100], ldsseq[100], I[100], L[100];
int BINARY_SEARCH(int lo, int hi, int itm)
{
int mid;
while(lo <= hi)
{
mid = (lo + hi) / 2;
if(I[mid] < itm)
{
lo = mid + 1;
}
else
{
hi = mid - 1;
}
}
return lo;
}
int LIS()
{
int i, j , len=0 , r , Llen=0;
for(i=0; i<n; i++)
{
r = BINARY_SEARCH(0, len, seq[i]);
I[r] = seq[i];
L[Llen++] = r;
if(len < r)
{
len = r;
}
}
//cout << "LDS Length: " << len;
return len;
}
void find_squence( int mxlen)
{
int i=0 , j;
for(j=1; j<n; j++)
{
if(L[j] > L[i])
{
i = j;
}
}
int top = L[i];
top--;
ldsseq[top] = seq[i];
for(j=i-1; j>=0; j--)
{
if(seq[j] < seq[i] and L[j] == L[i]-1)
{
i=j;
top--;
ldsseq[top] = seq[i];
}
}
cout << "Sequence: ";
for(i=mxlen-1; i>=0; i--)
{
cout << ldsseq[i] << " ";
}
}
int main()
{
while(cin >> n)
{
int ilen=0;
I[ilen++] = -inf;
for(int i=0; i<n; i++)
{
cin >> seq[i];
I[ilen++] = seq[i];
}
reverse(seq, seq+n);
int rlen = LIS();
find_squence(rlen);
cout << "LDS Length = " << rlen << "\n";
}
return 0;
}
using namespace std;
const int inf = 9999;
int n, seq[100], ldsseq[100], I[100], L[100];
int BINARY_SEARCH(int lo, int hi, int itm)
{
int mid;
while(lo <= hi)
{
mid = (lo + hi) / 2;
if(I[mid] < itm)
{
lo = mid + 1;
}
else
{
hi = mid - 1;
}
}
return lo;
}
int LIS()
{
int i, j , len=0 , r , Llen=0;
for(i=0; i<n; i++)
{
r = BINARY_SEARCH(0, len, seq[i]);
I[r] = seq[i];
L[Llen++] = r;
if(len < r)
{
len = r;
}
}
//cout << "LDS Length: " << len;
return len;
}
void find_squence( int mxlen)
{
int i=0 , j;
for(j=1; j<n; j++)
{
if(L[j] > L[i])
{
i = j;
}
}
int top = L[i];
top--;
ldsseq[top] = seq[i];
for(j=i-1; j>=0; j--)
{
if(seq[j] < seq[i] and L[j] == L[i]-1)
{
i=j;
top--;
ldsseq[top] = seq[i];
}
}
cout << "Sequence: ";
for(i=mxlen-1; i>=0; i--)
{
cout << ldsseq[i] << " ";
}
}
int main()
{
while(cin >> n)
{
int ilen=0;
I[ilen++] = -inf;
for(int i=0; i<n; i++)
{
cin >> seq[i];
I[ilen++] = seq[i];
}
reverse(seq, seq+n);
int rlen = LIS();
find_squence(rlen);
cout << "LDS Length = " << rlen << "\n";
}
return 0;
}
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