feat: add rust solution to lc problem: No.2574 (doocs#1203)

Author: dierbei

solution/2500-2599/2574.Left and Right Sum Differences/README.md

@@ -196,6 +196,49 @@ impl Solution {
 }
 ```
 
+```rust
+impl Solution {
+    pub fn left_right_difference(nums: Vec<i32>) -> Vec<i32> {
+        let mut ans = vec![];
+
+        for i in 0..nums.len() {
+
+            let mut left = 0;
+            for j in 0..i {
+                left += nums[j];
+            }
+
+            let mut right = 0;
+            for k in i + 1..nums.len() {
+                right += nums[k];
+            }
+
+            ans.push((left - right).abs());
+        }
+
+        ans
+    }
+}
+```
+
+```rust
+impl Solution {
+    pub fn left_right_difference(nums: Vec<i32>) -> Vec<i32> {
+        let mut left = 0;
+        let mut right: i32 = nums.iter().sum();
+        let mut ans = vec![];
+
+        for &x in &nums {
+            right -= x;
+            ans.push((left - right).abs());
+            left += x;
+        }
+
+        ans
+    }
+}
+```
+
 ### **C**
 
 ```c

solution/2500-2599/2574.Left and Right Sum Differences/README_EN.md

@@ -173,6 +173,49 @@ impl Solution {
 }
 ```
 
+```rust
+impl Solution {
+    pub fn left_right_difference(nums: Vec<i32>) -> Vec<i32> {
+        let mut ans = vec![];
+
+        for i in 0..nums.len() {
+
+            let mut left = 0;
+            for j in 0..i {
+                left += nums[j];
+            }
+
+            let mut right = 0;
+            for k in i + 1..nums.len() {
+                right += nums[k];
+            }
+
+            ans.push((left - right).abs());
+        }
+
+        ans
+    }
+}
+```
+
+```rust
+impl Solution {
+    pub fn left_right_difference(nums: Vec<i32>) -> Vec<i32> {
+        let mut left = 0;
+        let mut right: i32 = nums.iter().sum();
+        let mut ans = vec![];
+
+        for &x in &nums {
+            right -= x;
+            ans.push((left - right).abs());
+            left += x;
+        }
+
+        ans
+    }
+}
+```
+
 ### **C**
 
 ```c