From 7f52800da164e7bb0d29a9b30f222b85d00698f0 Mon Sep 17 00:00:00 2001
From: jackfiled <xcrenchangjun@outlook.com>
Date: Mon, 11 Nov 2024 12:13:09 +0800
Subject: [PATCH] 20241111 finished.

---
 src/problem/mod.rs                            |  2 +
 .../p1547_minimum_cost_to_cut_a_stick.rs      | 45 +++++++++++++++++++
 2 files changed, 47 insertions(+)
 create mode 100644 src/problem/p1547_minimum_cost_to_cut_a_stick.rs

diff --git a/src/problem/mod.rs b/src/problem/mod.rs
index d00e9a5..bd7de44 100644
--- a/src/problem/mod.rs
+++ b/src/problem/mod.rs
@@ -308,3 +308,5 @@ mod p3235_check_if_the_rectangle_corner_is_reachable;
 mod p3242_design_neighbor_sum_service;
 
 mod p540_single_element_in_a_sorted_array;
+
+mod p1547_minimum_cost_to_cut_a_stick;
diff --git a/src/problem/p1547_minimum_cost_to_cut_a_stick.rs b/src/problem/p1547_minimum_cost_to_cut_a_stick.rs
new file mode 100644
index 0000000..ffd72a2
--- /dev/null
+++ b/src/problem/p1547_minimum_cost_to_cut_a_stick.rs
@@ -0,0 +1,45 @@
+/**
+ * [1547] Minimum Cost to Cut a Stick
+ */
+pub struct Solution {}
+
+// submission codes start here
+
+impl Solution {
+    pub fn min_cost(n: i32, cuts: Vec<i32>) -> i32 {
+        let m = cuts.len();
+
+        let mut cuts = cuts;
+        cuts.sort_unstable();
+        cuts.insert(0, 0);
+        cuts.push(n);
+
+        let mut dp = vec![vec![0; m + 2]; m + 2];
+
+        for i in (1..=m).rev() {
+            for j in i..=m {
+                dp[i][j] = if i == j { 0 } else { i32::MAX };
+
+                for k in i..=j {
+                    dp[i][j] = dp[i][j].min(dp[i][k - 1] + dp[k + 1][j]);
+                }
+                dp[i][j] += cuts[j + 1] - cuts[i - 1];
+            }
+        }
+
+        dp[1][m]
+    }
+}
+
+// submission codes end
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_1547() {
+        assert_eq!(16, Solution::min_cost(7, vec![1, 3, 4, 5]));
+        assert_eq!(22, Solution::min_cost(9, vec![5, 6, 1, 4, 2]));
+    }
+}