We define e
A as following:
Where A is a n×n symmetric matrix with real elements, I is an identity matrix.
Give you matrix A, your task is to calculate e
A.
There are several test cases;
Each test case begin with a line contains an integer n (1≤n≤100), the following n lines contain n×n symmetric matrix A. The rang of elements of A is (-100,100);
n=0 is the end of input and need not to proceed.
For each test case, output n lines contain matrix e
A , The value of elements of matrix e
A must be accurate up to two decimal places. You may assume the range of elements of e
A is (-10000,10000).