From 997eb1c292b423bc35d2da1287cd151276b26e29 Mon Sep 17 00:00:00 2001
From: ashishkore <43812466+ashishkore@users.noreply.github.com>
Date: Wed, 3 Oct 2018 16:54:09 +0530
Subject: [PATCH] FriendsPairing

---
 dynamic_programming/friendspairing.cpp | 33 ++++++++++++++++++++++++++
 1 file changed, 33 insertions(+)
 create mode 100644 dynamic_programming/friendspairing.cpp

diff --git a/dynamic_programming/friendspairing.cpp b/dynamic_programming/friendspairing.cpp
new file mode 100644
index 0000000..e919e0c
--- /dev/null
+++ b/dynamic_programming/friendspairing.cpp
@@ -0,0 +1,33 @@
+
+// C++ program solution friends pairing problem 
+// C++ program for solution of 
+// friends pairing problem 
+#include <bits/stdc++.h> 
+using namespace std; 
+  
+// Returns count of ways n people  
+// can remain single or paired up. 
+int countFriendsPairings(int n) 
+{ 
+    int dp[n + 1]; 
+  
+    // Filling dp[] in bottom-up manner using 
+    // recursive formula explained above. 
+    for (int i = 0; i <= n; i++) 
+    { 
+        if (i <= 2) 
+        dp[i] = i; 
+        else
+        dp[i] = dp[i - 1] + (i - 1) * dp[i - 2]; 
+    } 
+  
+    return dp[n]; 
+} 
+  
+// Driver code 
+int main() 
+{ 
+    int n = 4; 
+    cout << countFriendsPairings(n) << endl; 
+    return 0; 
+}