Mai intai trebuie sa te autentifici.
Cod sursa(job #3194561)
Utilizator | Data | 18 ianuarie 2024 16:44:25 | |
---|---|---|---|
Problema | Subsir crescator maximal | Scor | 100 |
Compilator | cpp-64 | Status | done |
Runda | Arhiva educationala | Marime | 2.12 kb |
#include <algorithm>
#include <iostream>
#include <fstream>
#include <vector>
#include <map>
using namespace std;
ifstream in("scmax.in");
ofstream out("scmax.out");
const int maxn = 100005;
int aint[maxn * 4];
int dp[maxn]; /// dp[i] = lungimea scmax care se termina pe pozitia i
/// dp[i] = max(dp[j]) + 1, unde j < i si v[j] < v[i]
int aux[maxn];
int v[maxn];
map <int, int> mp;
vector <int> sol;
void update(int nod, int x, int y, int poz, int val)
{
if(poz < x || poz > y)
return;
if(x == y)
{
aint[nod] = val;
return;
}
int mij = (x + y) / 2;
update(nod * 2, x, mij, poz, val);
update(nod * 2 + 1, mij + 1, y, poz, val);
aint[nod] = max(aint[nod * 2], aint[nod * 2 + 1]);
}
int query(int nod, int st, int dr, int x, int y)
{
if(dr < x || st > y)
return 0;
if(x <= st && dr <= y)
return aint[nod];
int mij = (st + dr) / 2;
int q1 = query(nod * 2, st, mij, x, y);
int q2 = query(nod * 2 + 1, mij + 1, dr, x, y);
return max(q1, q2);
}
int main()
{
int n;
in >> n;
for(int i = 1; i <= n; i++)
{
in >> v[i];
aux[i] = v[i];
}
sort(aux + 1, aux + n + 1);
int val = 0;
for(int i = 1; i <= n; i++)
if(aux[i] != aux[i - 1])
mp[aux[i]] = ++val;
for(int i = 1; i <= n; i++)
aux[i] = v[i];
for(int i = 1; i <= n; i++)
v[i] = mp[v[i]];
for(int i = 1; i <= n; i++)
{
dp[i] = query(1, 1, n, 1, v[i] - 1) + 1;
update(1, 1, n, v[i], dp[i]);
}
int mx = 0, pozmx = 0;
for(int i = 1; i <= n; i++)
{
if(mx < dp[i])
{
mx = dp[i];
pozmx = i;
}
}
out << mx << "\n";
int last = (1 << 30);
for(int i = pozmx; i >= 1; i--)
{
if(dp[i] == mx && v[i] < last)
{
sol.push_back(aux[i]);
mx--;
last = v[i];
}
}
reverse(sol.begin(), sol.end());
for(auto it : sol)
out << it << " ";
out << "\n";
return 0;
}