CompProgDNK/Problems/CSES/cses_rectanglecutting.cpp

52 lines
1.0 KiB
C++

#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> dp; // i = altura, j = largura
// ex 1x3 == (1+ 1x2 + 1x1)
int cortedp(int i, int j){
if(dp[i][j] != -1) return dp[i][j];
if(i == j) return 0;
int answ = __INT32_MAX__;
for(int l = i-1; l > 0; l--){
answ = min(answ, 1+cortedp(i-l, j)+cortedp(l,j));
}
for(int r = j-1; r > 0; r--){
answ = min(answ, 1+cortedp(i, j-r)+cortedp(i,r));
}
return dp[i][j] = answ;
}
int main(){
ios::sync_with_stdio(false);
int a,b;
cin >> a >> b;
dp.assign(a+1, vector<int>(b+1, -1));
//cout << cortedp(a,b) << '\n'; Recursiva (AC)
for(int i = 1; i <= a; i++){
for(int j = 1; j <= b; j++){ // Calculating rectangle ixj
if(i == j){ // Base case, no actions
dp[i][j] = 0;
}else{
dp[i][j] = __INT32_MAX__;
// Vertical cuts
for(int k = i-1; k > 0; k--){
dp[i][j] = min(dp[i][j], 1+ dp[i-k][j]+dp[k][j]);
}
// Horizontal cuts
for(int k = j-1; k > 0; k--){
dp[i][j] = min(dp[i][j], 1+ dp[i][j-k]+dp[i][k]);
}
}
}
}
cout << dp[a][b] << '\n';
return 0;
}