Prosjek

Mirko is practicing arithmetic operations in an interesting way during math class. First, he writes a sequence of integers \(A\). Then, underneath the first sequence, he writes another sequence of integers \(B\) which he gets by replacing every number from the sequence \(A\) with the average value of all the numbers before the current one, including it.

For example, if the first sequence of integers \(A\) is equal to

$$ \displaystyle 1, 3, 2, 6, 8 $$

then the second sequence of integers \(B\) is going to be

$$ \displaystyle \frac 1 1, \frac{1+3} 2, \frac{1+3+2} 3, \frac{1+3+2+6} 4, \frac{1+3+2+6+8} 5 $$

in other words

$$ \displaystyle 1, 2, 2, 3, 4 $$

You are given the second sequence of integers \(B\). Determine the first sequence of integers \(A\) to check Mirko's calculations.

The first line of input contains the integer \(N\) \((1 \le N \le 100)\), the length of sequence \(B\).

The second line of input contains the sequence of \(N\) space-separated integers \(B_i\) \((1 \le B_i \le 10^9)\).

The first and only line of output must contain a sequence of \(N\) space-separated integers \(A_i\).

Please note: The input data will be such that the elements from the sequence \(A\) are integers \((1 \le A_i \le 10^9)\).

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출처 COCI 2014/2015 Contest 1