Polynomial Problem
Problem Description
We have learned how to obtain the value of a polynomial when we were a middle school student. If f(x) is a polynomial of degree n, we can let
If we have x, we can get f(x) easily. But a computer can not understand the expression like above. So we had better make a program to obtain f(x).
Input
There are multiple cases in this problem and ended by the EOF. In each case, there are two lines. One is an integer means x (0<=x<=10000), the other is an expression means f(x). All coefficients ai(0<=i<=n,1<=n<=10,-10000<=ai<=10000) are integers. A correct expression maybe likes1003X^5+234X^4-12X^3-2X^2+987X-1000
Output
For each test case, there is only one integer means the value of f(x).
3
1003X^5+234X^4-12X^3-2X^2+987X-1000
264302
Notice that the writing habit of polynomial f(x) is usual such as
X^6+2X^5+3X^4+4X^3+5X^2+6X+7
-X^7-5X^6+3X^5-5X^4+20X^3+2X^2+3X+9
X+1
X^3+1
X^3
-X+1 etc. Any results of middle process are in the range from -1000000000 to 1000000000.
Author
SmallBeer(CML)