Problem Statement

You are given an integer N and $a sequence S=(S_1,\ldots,S_N)$ of length N.
Find $a sequence A=(A_1,\ldots,A_N)$ of length N that satisfies the following condition for all $k=1,\ldots,N$:

• $A_1+A_2+\ldots+A_k = S_k$.

Such a sequence A always exists and is unique.

Input

The input is given from Standard Input in the following format:
N
$S_1 \ldots S_N$

Output

Print the elements of $a sequence A=(A_1,\ldots,A_N)$ that satisfies all the conditions in order, separated by spaces.

Constraints

• $1 \leq N \leq 10$
• -$10^9\leq S_i \leq 10^9$
• All values in the input are integers.

Sample Input 1

3
3 4 8

Sample Output 1

3 1 4

The sequence in the output actually satisfies all the conditions:

• A_1=3=S_1;
• A_1+A_2=3+1=4=S_2;
• A_1+A_2+A_3=3+1+4=8=S_3.

Sample Input 2

10
314159265 358979323 846264338 -327950288 419716939 -937510582 97494459 230781640 628620899 -862803482

Sample Output 2

314159265 44820058 487285015 -1174214626 747667227 -1357227521 1035005041 133287181 397839259 -1491424381

见题面 Input 部分

见题面 Output 部分