From 9f090f1c21c9a906afaba2ffd7aacd08174e88d0 Mon Sep 17 00:00:00 2001
From: Tanmay-312 <jain2002tj@gmail.com>
Date: Tue, 16 Jan 2024 09:53:33 +0530
Subject: [PATCH] Added for 16 Jan

---
 GeeksForGeeks/16-1-24/GFG.java  | 53 +++++++++++++++++++++++++++++++++
 GeeksForGeeks/16-1-24/README.md |  2 ++
 LeetCode/16-1-24/README.md      |  2 ++
 LeetCode/16-1-24/Solution.java  | 50 +++++++++++++++++++++++++++++++
 4 files changed, 107 insertions(+)
 create mode 100644 GeeksForGeeks/16-1-24/GFG.java
 create mode 100644 GeeksForGeeks/16-1-24/README.md
 create mode 100644 LeetCode/16-1-24/README.md
 create mode 100644 LeetCode/16-1-24/Solution.java

diff --git a/GeeksForGeeks/16-1-24/GFG.java b/GeeksForGeeks/16-1-24/GFG.java
new file mode 100644
index 0000000..268f17e
--- /dev/null
+++ b/GeeksForGeeks/16-1-24/GFG.java
@@ -0,0 +1,53 @@
+//{ Driver Code Starts
+//Initial Template for Java
+import java.io.*;
+import java.util.*;
+
+class GFG
+{
+    public static void main(String args[])throws IOException
+    {
+        BufferedReader read = new BufferedReader(new InputStreamReader(System.in));
+        int t = Integer.parseInt(read.readLine());
+        while(t-- > 0)
+        {
+            String input_line[] = read.readLine().trim().split("\\s+");
+            int m = Integer.parseInt(input_line[0]);
+            int n = Integer.parseInt(input_line[1]);
+            
+            Solution ob = new Solution();
+            System.out.println(ob.numberSequence(m, n));
+        }
+    }
+}
+
+// } Driver Code Ends
+
+
+//User function Template for Java
+
+class Solution 
+{
+    static int numberSequence(int m, int n) 
+    {
+        int[][] dp = new int[n + 1][m + 1];
+        return fun(n, 1, m, 0, dp);
+    }
+
+    static int fun(int i, int j, int m, int last, int[][] dp) 
+    {
+        if (i == 0)
+            return 1;
+
+        if (dp[i][j] != 0)
+            return dp[i][j];
+
+        int ans = 0;
+        for (int k = j; k <= m; k++)
+            if (last == 0 || k >= 2 * last)
+                ans += fun(i - 1, k , m, k, dp);
+
+        dp[i][j] = ans;
+        return ans;
+    }
+}
diff --git a/GeeksForGeeks/16-1-24/README.md b/GeeksForGeeks/16-1-24/README.md
new file mode 100644
index 0000000..d345d8d
--- /dev/null
+++ b/GeeksForGeeks/16-1-24/README.md
@@ -0,0 +1,2 @@
+Time complexity - O(m*n)
+Space complexity - O(m*n)
diff --git a/LeetCode/16-1-24/README.md b/LeetCode/16-1-24/README.md
new file mode 100644
index 0000000..9a0ef5d
--- /dev/null
+++ b/LeetCode/16-1-24/README.md
@@ -0,0 +1,2 @@
+Time complexity - O(1)
+Space complexity - O(n)
diff --git a/LeetCode/16-1-24/Solution.java b/LeetCode/16-1-24/Solution.java
new file mode 100644
index 0000000..97fa93d
--- /dev/null
+++ b/LeetCode/16-1-24/Solution.java
@@ -0,0 +1,50 @@
+class RandomizedSet 
+{
+    public boolean insert(int val) 
+    {
+        if (valToIndex.containsKey(val))
+            return false;
+        
+        valToIndex.put(val, vals.size());
+        vals.add(val);
+        return true;
+    }
+
+    public boolean remove(int val) 
+    {
+        if (!valToIndex.containsKey(val))
+            return false;
+        
+        final int index = valToIndex.get(val);
+        // The order of the following two lines is important when vals.size() == 1.
+        valToIndex.put(last(vals), index);
+        valToIndex.remove(val);
+        vals.set(index, last(vals));
+        vals.remove(vals.size() - 1);
+        return true;
+    }
+
+    public int getRandom() 
+    {
+        final int index = rand.nextInt(vals.size());
+        return vals.get(index);
+    }
+
+    // {val: index in vals}
+    private Map<Integer, Integer> valToIndex = new HashMap<>();
+    private List<Integer> vals = new ArrayList<>();
+    private Random rand = new Random();
+
+    private int last(List<Integer> vals) 
+    {
+        return vals.get(vals.size() - 1);
+    }
+}
+
+/**
+ * Your RandomizedSet object will be instantiated and called as such:
+ * RandomizedSet obj = new RandomizedSet();
+ * boolean param_1 = obj.insert(val);
+ * boolean param_2 = obj.remove(val);
+ * int param_3 = obj.getRandom();
+ */