Added DP Problems

Algorithms/Dynamic Programming/coin_change.cpp

@@ -0,0 +1,55 @@
+#include<iostream>
+#include<bits/stdc++.h>
+using namespace std;
+
+
+long long int count( long long int S[], long long int m, long long int n )  
+{   
+    int table[m+1][n+1];   
+    memset(table, 0, sizeof(table));  
+
+    for(long long int i=0;i<=m;i++) 
+   {
+       table[i][0] = 1;  
+   } 
+    for(long long int i=1;i<=m;i++) 
+      { 
+
+          for(long long int j=1;j<=n;j++) 
+          { 
+              if(S[i-1]>j) 
+              { 
+                  table[i][j]=table[i-1][j]; 
+
+              } 
+
+              else
+              { 
+                  table[i][j]=table[i-1][j]+table[i][j-S[i-1]]; 
+              } 
+
+          } 
+      } 
+
+    //  for(int i=0;i<=m;i++){
+    //         for(int j=0;j<=n;j++){
+    //             cout<<table[i][j]<<" ";
+    //         }
+    //         cout<<endl;
+    //   } 
+    return table[m][n];  
+} 
+int main()
+ {
+	int t;long long int n,m,i;
+	cin>>t;
+	while(t--){
+	    cin>>m;
+	    long long int S[m];
+	    for(i=0;i<m;i++)
+	        cin>>S[i];
+	    cin>>n;
+	    cout<<count(S,m,n)<<endl;
+    }
+	return 0;
+}

Algorithms/Dynamic Programming/factorial.cpp

@@ -0,0 +1,14 @@
+#include<iostream>
+
+using namespace std;
+
+int main(){
+  long n,i;
+  cin>>n;
+  long long int dp[100001];
+  dp[0]=1;
+  for(i=1;i<100001;i++){
+    dp[i] = dp[i-1]*i;
+  }
+  cout<<dp[n]<<endl;
+}

Algorithms/Dynamic Programming/fibonacci.cpp

@@ -0,0 +1,39 @@
+#include<iostream>
+#define NIL -1
+using namespace std;
+
+int memo[100001];
+int dp[100001];
+
+void _inintialize(){
+  long i;
+  for(i=0;i<100001;i++)
+    memo[i] = NIL;
+}
+
+int fibo_top_down(int n){
+  if(memo[n]==NIL){
+    if(n<=1){
+      memo[n] = n;
+    }
+    else
+      memo[n] = fibo_top_down(n-1) + fibo_top_down(n-2);
+  }
+  return memo[n];
+}
+
+void fibo_bottom_up(){
+  dp[0]=0;
+  dp[1]=1;
+  long i;
+  for(i=2;i<100001;i++)
+    dp[i]=dp[i-1]+dp[i-2];
+}
+
+int main(){
+  long long int n;
+  cin>>n;
+  _inintialize();
+  fibo_bottom_up();
+  cout<<fibo_top_down(n)<<endl<<dp[n]<<endl;
+}