Write a program that reads a sequence of integer numbers and prints how many of them are equal to the sum of all the elements which are behind them.
Input
Input is a sequence of integer numbers.
Output
In a line, print the number of integer numbers of the input sequence that are equal to the sum of all the elements which are behind them.
Observation
Use recursion (not tables).
Input
-34 11 7 2 -8 5 3 2
Output
3
Input
4 2 2 0
Output
3
Input
Output
0
Input
0 32 -16 -8 -4 -2 -2
Output
5
Input
28 32 -5 9
Output
0