docs(docs): add ProblemBadges component, layout slot, and enrich pages with topics/video frontmatter, plus guide placeholders and topic‑landing map.

apps/docs/content/(01-linear-structures)/stack/150-evaluate-reverse-polish-notation.mdx

@@ -2,13 +2,16 @@
 title: '150. Evaluate Reverse Polish Notation'
 description: You are given an array of strings tokens that represents an arithmetic expression in a Reverse Polish Notation
 icon: dot
+topics:
+  - { name: "Array", slug: "array" }
+  - { name: "Math", slug: "math" }
+  - { name: "Stack", slug: "stack" }
+video: "iu0082c4HDE"
 sidebar:
   label: 'Evaluate Reverse Polish Notation'
   badge: 'Medium'
 ---
 
-<Badge variant="accent">Array</Badge>
-
 ### Example 1:
 - Input: `tokens = ["2","1","+","3","*"]`
 - Output: `9`
@@ -69,7 +72,3 @@ class Solution:
 
         return stack[0]
 ```
-
-## Explanation
-
-<YouTube id="iu0082c4HDE" title="Evaluate Reverse Polish Notation - Leetcode 150 - Python" />

apps/docs/content/(01-linear-structures)/stack/155-min-stack.mdx

@@ -2,13 +2,15 @@
 title: '155. Min Stack'
 description: Design a stack that supports push, pop, top, and retrieving the minimum element in constant time
 icon: dot
+topics:
+  - { name: "Stack", slug: "stack" }
+  - { name: "Design", slug: "design" }
+video: "qkLl7nAwDPo"
 sidebar:
   label: 'Min Stack'
   badge: 'Medium'
 ---
 
-<Badge variant="accent">Stack</Badge>
-
 ::::warning
 You must implement a solution with O(1) time complexity for each function.
 ::::
@@ -77,7 +79,3 @@ class MinStack:
 # param_3 = obj.top()
 # param_4 = obj.getMin()
 ```
-
-## Explanation
-
-<YouTube id="qkLl7nAwDPo" title="Design Min Stack - Amazon Interview Question - Leetcode 155 - Python" />

apps/docs/content/(01-linear-structures)/stack/20-valid-parentheses.mdx

@@ -2,13 +2,16 @@
 title: '20. Valid Parentheses'
 description: Given a string s containing just the characters '(', ')', '{', '}', '[' and ']', determine if the input string is valid
 icon: dot
+topics:
+  - { name: "String", slug: "string" }
+  - { name: "Stack", slug: "stack" }
+  - { name: "Bracket Sequences", slug: "bracket-sequences" }
+video: "WTzjTskDFMg"
 sidebar:
   label: 'Valid Parentheses'
   badge: 'Easy'
 ---
 
-<Badge variant="accent">String</Badge>
-
 ### Example 1:
 - Input: `s = "()"`
 - Output: `true`
@@ -71,7 +74,3 @@ class Solution:
 
         return True if not stack else False
 ```
-
-## Explanation
-
-<YouTube id="WTzjTskDFMg" title="Valid Parentheses - Stack - Leetcode 20 - Python" />