20240807 Finished

src/problem/mod.rs

@@ -197,3 +197,4 @@ mod p149_max_points_on_a_line;
 mod p70_climbing_stairs;
 mod p198_house_robber;
 mod p139_word_break;
+mod p300_longest_increasing_subsequence;

src/problem/p300_longest_increasing_subsequence.rs

@@ -0,0 +1,55 @@
+/**
+ * [300] Longest Increasing Subsequence
+ */
+pub struct Solution {}
+
+
+// submission codes start here
+
+impl Solution {
+    pub fn length_of_lis(nums: Vec<i32>) -> i32 {
+        let n = nums.len();
+        if n == 0 {
+            return 0;
+        }
+        
+        let mut length = 1;
+        let mut dp = vec![0;n + 1];
+        dp[length] = nums[0];
+        
+        for i in 1..n {
+            if nums[i] > dp[length] {
+                length += 1;
+                dp[length] = nums[i];
+            } else { 
+                // 二分查找dp中小于nums[i]的位置
+                let (mut left, mut right, mut pos) = (1, length, 0);
+                while left <= right {
+                    let middle = (right - left) / 2 + left;
+                    if dp[middle] < nums[i] {
+                        pos = middle;
+                        left = middle + 1;
+                    } else { 
+                        right = middle - 1;
+                    }
+                }
+                
+                dp[pos + 1] = nums[i];
+            }
+        }
+        
+        length as i32
+    }
+}
+
+// submission codes end
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_300() {
+        
+    }
+}