From 96022df10c3ed18dea411a92ff88f1f84c3566b6 Mon Sep 17 00:00:00 2001
From: Segcolt <9hmbzr275@mozmail.com>
Date: Fri, 27 Sep 2024 20:50:37 -0300
Subject: [PATCH] Add a cses dp problem

Trying to learn more about range dp.
---
 CSES Problem Set/Rectangle Cutting.cpp | 105 +++++++++++++++++++++++++
 1 file changed, 105 insertions(+)
 create mode 100644 CSES Problem Set/Rectangle Cutting.cpp

diff --git a/CSES Problem Set/Rectangle Cutting.cpp b/CSES Problem Set/Rectangle Cutting.cpp
new file mode 100644
index 0000000..aa6cb14
--- /dev/null
+++ b/CSES Problem Set/Rectangle Cutting.cpp	
@@ -0,0 +1,105 @@
+/* Problem URL: https://cses.fi/problemset/task/1744 */
+
+#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;
+}
+
+const ll inf = numeric_limits<ll>::max() >> 1;
+
+int main()
+{
+    ios::sync_with_stdio(false);
+	cin.tie(nullptr);
+ 
+	int a, b;
+	cin >> a >> b;
+	if (a > b) {
+		swap(a, b);
+	}
+ 
+	vvl dp(a + 1, vl(b + 1, inf));
+ 
+	for (size_t i = 0; i <= a; i++) {
+		dp[i][i] = 0;
+	}
+ 
+	for (size_t i = 1; i <= a; i++) {
+		for (size_t j = 1; j <= b; j++) {
+			for (size_t k = 1; k <= (b / 2); k++) {
+				if (k < i) {
+					dp[i][j] = min(dp[i][j], dp[k][j] + dp[i - k][j] + 1);
+				}
+				if (k < j) {
+					dp[i][j] = min(dp[i][j], dp[i][k] + dp[i][j - k] + 1);
+				}
+			}
+		}
+	}
+ 
+	cout << dp[a][b] << '\n';
+}