Time Limit: 1s
Memory Limit: 128MB
Here is a sequence a_{1..n}, which is a disordered sequence from 1 to N. if i < j and a_{i} > a_{j}, <i, j> is called a pair of inversion. And b_{1..n-1} is defined as follows, bk is the number of the total inversion pairs in array a, when i<=k<j. Now the array a is required while the array b is known.
Several cases end with the end of the file;
And each of the cases includes two lines, a integer n(2<=n<=10^5)in the first line, and the second line followed with n-1 integer, which is in the presentation of array b;
Output the answer of each case in a line, namely the array a, and a space is required between adjacent integers.
5 2 1 2 0
3 1 4 2 5