From 6360f90e9e5eb78fffa4485bba721e7798a12eea Mon Sep 17 00:00:00 2001
From: jackfiled <xcrenchangjun@outlook.com>
Date: Fri, 6 Sep 2024 15:57:51 +0800
Subject: [PATCH] 20240906 finished.

---
 src/problem/mod.rs                            |  3 +-
 ..._maximum_length_of_a_good_subsequence_i.rs | 41 +++++++++++++++++++
 2 files changed, 43 insertions(+), 1 deletion(-)
 create mode 100644 src/problem/p3176_find_the_maximum_length_of_a_good_subsequence_i.rs

diff --git a/src/problem/mod.rs b/src/problem/mod.rs
index 88ea177..de09f06 100644
--- a/src/problem/mod.rs
+++ b/src/problem/mod.rs
@@ -226,4 +226,5 @@ mod p1450_number_of_students_doing_homework_at_a_given_time;
 mod p2024_maximize_the_confusion_of_an_exam;
 mod p2708_maximum_strength_of_a_group;
 mod p2860_happy_students;
-mod p3174_clear_digits;
\ No newline at end of file
+mod p3174_clear_digits;
+mod p3176_find_the_maximum_length_of_a_good_subsequence_i;
\ No newline at end of file
diff --git a/src/problem/p3176_find_the_maximum_length_of_a_good_subsequence_i.rs b/src/problem/p3176_find_the_maximum_length_of_a_good_subsequence_i.rs
new file mode 100644
index 0000000..2a39805
--- /dev/null
+++ b/src/problem/p3176_find_the_maximum_length_of_a_good_subsequence_i.rs
@@ -0,0 +1,41 @@
+/**
+ * [3176] Find the Maximum Length of a Good Subsequence I
+ */
+pub struct Solution {}
+
+
+// submission codes start here
+
+impl Solution {
+    pub fn maximum_length(nums: Vec<i32>, k: i32) -> i32 {
+        use std::collections::HashMap;
+
+        let k = k as usize;
+        let mut map = HashMap::with_capacity(nums.len());
+        let mut mx = vec![0; k + 2];
+
+        for x in nums {
+            let entry = map.entry(x).or_insert(vec![0; k + 1]);
+
+            for j in (0..=k).rev() {
+                entry[j] = entry[j].max(mx[j]) + 1;
+                mx[j + 1] = mx[j + 1].max(entry[j]);
+            }
+        }
+
+        mx[k + 1]
+    }
+}
+
+// submission codes end
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_3176() {
+        assert_eq!(4, Solution::maximum_length(vec![1, 2, 1, 1, 3], 2));
+        assert_eq!(2, Solution::maximum_length(vec![1,2,3,4,5,1], 0));
+    }
+}