Polynomial Problem

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 65536/32768 K (Java/Others)

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 likes
1003X^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).

Sample Input

3 1003X^5+234X^4-12X^3-2X^2+987X-1000

Sample Output

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.

Hint

lcy

Source

杭电ACM集训队训练赛(VIII)

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