Refactor Longest Continuous Increasing Subsequence Implementation (#800)

ref: refactor implementation

- remove `tracking_vec` to reduce mem usage and simplify logic
- keep track of the `start` of the curr subseq and updated `max_start`
and `max_len` when a longer subseq was found
- rewrite tests with macro

src/dynamic_programming/longest_continuous_increasing_subsequence.rs

@@ -1,74 +1,93 @@
-pub fn longest_continuous_increasing_subsequence<T: Ord>(input_array: &[T]) -> &[T] {
-    let length: usize = input_array.len();
+use std::cmp::Ordering;
 
-    //Handle the base cases
-    if length <= 1 {
-        return input_array;
+/// Finds the longest continuous increasing subsequence in a slice.
+///
+/// Given a slice of elements, this function returns a slice representing
+/// the longest continuous subsequence where each element is strictly
+/// less than the following element.
+///
+/// # Arguments
+///
+/// * `arr` - A reference to a slice of elements
+///
+/// # Returns
+///
+/// A subslice of the input, representing the longest continuous increasing subsequence.
+/// If there are multiple subsequences of the same length, the function returns the first one found.
+pub fn longest_continuous_increasing_subsequence<T: Ord>(arr: &[T]) -> &[T] {
+    if arr.len() <= 1 {
+        return arr;
     }
 
-    //Create the array to store the longest subsequence at each location
-    let mut tracking_vec = vec![1; length];
+    let mut start = 0;
+    let mut max_start = 0;
+    let mut max_len = 1;
+    let mut curr_len = 1;
 
-    //Iterate through the input and store longest subsequences at each location in the vector
-    for i in (0..length - 1).rev() {
-        if input_array[i] < input_array[i + 1] {
-            tracking_vec[i] = tracking_vec[i + 1] + 1;
+    for i in 1..arr.len() {
+        match arr[i - 1].cmp(&arr[i]) {
+            // include current element is greater than or equal to the previous
+            // one elements in the current increasing sequence
+            Ordering::Less | Ordering::Equal => {
+                curr_len += 1;
+            }
+            // reset when a strictly decreasing element is found
+            Ordering::Greater => {
+                if curr_len > max_len {
+                    max_len = curr_len;
+                    max_start = start;
+                }
+                // reset start to the current position
+                start = i;
+                // reset current length
+                curr_len = 1;
+            }
         }
     }
 
-    //Find the longest subsequence
-    let mut max_index: usize = 0;
-    let mut max_value: i32 = 0;
-    for (index, value) in tracking_vec.iter().enumerate() {
-        if value > &max_value {
-            max_value = *value;
-            max_index = index;
-        }
+    // final check for the last sequence
+    if curr_len > max_len {
+        max_len = curr_len;
+        max_start = start;
     }
 
-    &input_array[max_index..max_index + max_value as usize]
+    &arr[max_start..max_start + max_len]
 }
 
 #[cfg(test)]
 mod tests {
-    use super::longest_continuous_increasing_subsequence;
-
-    #[test]
-    fn test_longest_increasing_subsequence() {
-        //Base Cases
-        let base_case_array: [i32; 0] = [];
-        assert_eq!(
-            &longest_continuous_increasing_subsequence(&base_case_array),
-            &[]
-        );
-        assert_eq!(&longest_continuous_increasing_subsequence(&[1]), &[1]);
+    use super::*;
 
-        //Normal i32 Cases
-        assert_eq!(
-            &longest_continuous_increasing_subsequence(&[1, 2, 3, 4]),
-            &[1, 2, 3, 4]
-        );
-        assert_eq!(
-            &longest_continuous_increasing_subsequence(&[1, 2, 2, 3, 4, 2]),
-            &[2, 3, 4]
-        );
-        assert_eq!(
-            &longest_continuous_increasing_subsequence(&[5, 4, 3, 2, 1]),
-            &[5]
-        );
-        assert_eq!(
-            &longest_continuous_increasing_subsequence(&[5, 4, 3, 4, 2, 1]),
-            &[3, 4]
-        );
+    macro_rules! test_cases {
+        ($($name:ident: $test_case:expr,)*) => {
+            $(
+                #[test]
+                fn $name() {
+                    let (input, expected) = $test_case;
+                    assert_eq!(longest_continuous_increasing_subsequence(input), expected);
+                }
+            )*
+        };
+    }
 
-        //Non-Numeric case
-        assert_eq!(
-            &longest_continuous_increasing_subsequence(&['a', 'b', 'c']),
-            &['a', 'b', 'c']
-        );
-        assert_eq!(
-            &longest_continuous_increasing_subsequence(&['d', 'c', 'd']),
-            &['c', 'd']
-        );
+    test_cases! {
+        empty_array: (&[] as &[isize], &[] as &[isize]),
+        single_element: (&[1], &[1]),
+        all_increasing: (&[1, 2, 3, 4, 5], &[1, 2, 3, 4, 5]),
+        all_decreasing: (&[5, 4, 3, 2, 1], &[5]),
+        with_equal_elements: (&[1, 2, 2, 3, 4, 2], &[1, 2, 2, 3, 4]),
+        increasing_with_plateau: (&[1, 2, 2, 2, 3, 3, 4], &[1, 2, 2, 2, 3, 3, 4]),
+        mixed_elements: (&[5, 4, 3, 4, 2, 1], &[3, 4]),
+        alternating_increase_decrease: (&[1, 2, 1, 2, 1, 2], &[1, 2]),
+        zigzag: (&[1, 3, 2, 4, 3, 5], &[1, 3]),
+        single_negative_element: (&[-1], &[-1]),
+        negative_and_positive_mixed: (&[-2, -1, 0, 1, 2, 3], &[-2, -1, 0, 1, 2, 3]),
+        increasing_then_decreasing: (&[1, 2, 3, 4, 3, 2, 1], &[1, 2, 3, 4]),
+        single_increasing_subsequence_later: (&[3, 2, 1, 1, 2, 3, 4], &[1, 1, 2, 3, 4]),
+        longer_subsequence_at_start: (&[5, 6, 7, 8, 9, 2, 3, 4, 5], &[5, 6, 7, 8, 9]),
+        longer_subsequence_at_end: (&[2, 3, 4, 10, 5, 6, 7, 8, 9], &[5, 6, 7, 8, 9]),
+        longest_subsequence_at_start: (&[2, 3, 4, 5, 1, 0], &[2, 3, 4, 5]),
+        longest_subsequence_at_end: (&[1, 7, 2, 3, 4, 5,], &[2, 3, 4, 5]),
+        repeated_elements: (&[1, 1, 1, 1, 1], &[1, 1, 1, 1, 1]),
     }
 }