Merge pull request royalpranjal#20 from CodeLogist/patch-1

Merging Sum of Fibonacci Numbers.

Author: Sahil

Graphs/SumOfFibonacciNumbers.cpp

@@ -1,39 +1,19 @@
-// https://www.interviewbit.com/problems/sum-of-fibonacci-numbers/
-
-int Solution::fibsum(int A) {
-    // Do not write main() function.
-    // Do not read input, instead use the arguments to the function.
-    // Do not print the output, instead return values as specified
-    // Still have a doubt. Checkout www.interviewbit.com/pages/sample_codes/ for more details
-    
-    vector<int> vec;
-    
-    vec.push_back(1);
-    vec.push_back(1);
-    
-    int fib, i = 2;
-    
-    while(fib <= A){
-        fib = vec[i-2] + vec[i-1];
-        vec.push_back(fib);
-        i++;
-    }
-    
-    int j = vec.size()-1;
-    int sol = 0;
-    
-    LOOP:while(A && j >= 0){
-        if(vec[j] == A){
-            sol++;
-            return sol;
-        }
-        else if(vec[j] < A){
-            sol++;
-            A = A - vec[j];
-            goto LOOP;
-        }
-        j--;
-    }
-    
-    return 0;
+int Solution::fibsum(int n) {
+    vector <int> fib;
+ 		fib.push_back(1);fib.push_back(1);      // now u have 1 and 1 at v[0] and v[1]
+ 		for(int i=2;fib[i-1]<n;i++){
+ 			int val=fib[i-1]+fib[i-2];
+ 			fib.push_back(val);
+		 }
+		 int ans=0;
+		 int size=fib.size();
+		 size--;
+		 while(n>0){
+		 	while(fib[size]>n){        // find the largest fibonaci number < n
+		 		size--;
+			 }                         // now decraese the largest fibonaci number from n
+			 n=n-fib[size];
+			 ans++;
+		 }
+		 return ans;
 }