Alguns problemas de PD em range um dia antes da OBI

Problems/CSES/cses_rectanglecutting.cpp

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+#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;
+}

Problems/USACO/usaco2016_3.cpp

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+#include <bits/stdc++.h>
+#define USACOIN ifstream cin("248.in"); ofstream cout("248.out");
+
+using namespace std;
+vector<vector<int>> dp;
+vector<int>v;
+
+int main(){
+	USACOIN
+	ios::sync_with_stdio(false);
+
+	int n, answ = 0;
+	cin >> n;
+
+	v.resize(n);
+	dp.assign(n, vector<int>(n, 0));
+	for(int i = 0; i < n; i++){
+		cin >> v[i];
+		dp[i][i] = v[i];
+		answ = max(answ, v[i]);
+	}
+
+	for(int j = 1; j < n; j++){
+		for(int i = j-1; i >= 0; i--){ // Creating answer for interval i-j
+			for(int k = i; k < j; k++){ // Checking if best answer is merging i-k with k+1-j
+				if(dp[i][k] != 0 && dp[k+1][j] != 0 && dp[i][k] == dp[k+1][j]){
+					dp[i][j] = dp[i][k]+1;
+					answ = max(answ, dp[i][j]);
+				}
+			}
+		}
+	}
+
+	cout << answ << '\n';
+
+	return 0;
+}