Cod sursa(job #2892196)

Utilizator minecraft3Vintila Valentin Ioan minecraft3 Data 21 aprilie 2022 11:19:21
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.82 kb
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// #pragma GCC optimize("Ofast")
// #pragma GCC target("avx,avx2,fma")

using namespace std;
// using namespace __gnu_pbds;
// template<typename T>
// using oset = tree<T, null_type, less<T>,
				  // rb_tree_tag, tree_order_statistics_node_update>;

#define nl cout.put('\n')
using ll = long long;
using ull = unsigned long long;

#ifdef Wi_TEST
	template<typename T1, typename T2>
	ostream& operator<<(ostream& out, pair<T1,T2> p) {
		out << "(" << p.first << ", " << p.second << ")";
		out.flush(); return out;
	}
	void DEB() { cerr << "]" << endl; }
	template<typename H, typename ... T>
	void DEB(H h, T... t) {
		cerr << h;
		if(sizeof...(t)) cerr << ", ";
		DEB(t...);
	}
	#define deb(...) cerr << "LINE(" << __LINE__ << ") -> [" << \
						     #__VA_ARGS__ << "]: [", DEB(__VA_ARGS__)
#else
	#define deb(...) 87105
#endif

const long long MOD = 1000000007, MOD2 = 998244353;
int lx[] = {0, 1, 0, -1}, ly[] = {1, 0, -1, 0};

#define N 505

const ll inf = (1LL << 60LL);
ll dp[N][N], d[N];

void solve() {
	ifstream fin("podm.in");
	ofstream fout("podm.out");
	
	int n;
	fin >> n;
	
	for (int i = 0; i <= n; i++)
		fin >> d[i];
	
	// dp[i][j] = solutia pentru intervalul [i, j]
	// Nota: o matrice k este compusa din d[k-1] si d[k]
	
	for (int deplasare = 1; deplasare < n; ++deplasare) {
		for (int i = 1; i + deplasare <= n; ++i) {
			const int j = i + deplasare;
			dp[i][j] = inf;
			for (int k = i; k < j; ++k) {
				// Se separa in [i, k] si [k+1, j]
				dp[i][j] = min(dp[i][j],
							   dp[i][k] + dp[k+1][j] +
							   d[i - 1] * d[k] * d[j]);
			}
		}
	}
	fout << dp[1][n];
}

int main() {
	ios_base::sync_with_stdio(false);
#ifndef Wi_TEST
	cin.tie(0);
#endif
	
	int t = 1;
	// cin >> t;
	for(int i = 1; i <= t; ++i) {
		solve();
	}
}