First problem of USACO here

A simple range dp problem
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Segcolt 2024-09-27 17:31:41 -03:00
parent c1a5c3a479
commit c70b7f083a
2 changed files with 105 additions and 0 deletions

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.gitignore vendored
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*.out *.out
*.app *.app
*.testcases

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/* Problem URL: https://usaco.org/index.php?page=viewproblem2&cpid=647 */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (size_t i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (size_t i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
ifstream in("248.in");
ofstream out("248.out");
int n;
in >> n;
vector<long long> el(n);
in >> el;
vector<vector<long long>> dp(n, vector<long long>(n, 0));
long long ans = 0;
for (size_t i = 0; i < n; i++) {
dp[i][i] = el[i];
ans = max(ans, dp[i][i]);
}
for (size_t j = 1; j < n; j++) {
for (int i = j - 1; i >= 0; i--) {
for (size_t k = i; k < j; k++) {
if (dp[i][k] != 0 && dp[k + 1][j] != 0 && dp[i][k] == dp[k + 1][j]) {
rmax(dp[i][j], dp[i][k] + 1);
}
}
rmax(ans, dp[i][j]);
}
}
out << ans << '\n';
}