[Solution] Retrieve the Array CodeChef Solution

[Solution] Retrieve the Array CodeChef Solution | CodeChef Problem Solution 2022

Chef has an array A$A$ of length N$N$.

Let f(i)$f(i)$ denote the sum A1+A2+⋯+Ai$A_1+A_2+\cdots +A_i$ and let g(i)$g(i)$ denote the sum Ai+Ai+1+⋯+AN$A_i+A_{i+1}+\cdots +A_N$.

Chef creates another array B$B$ of length N$N$ such that Bi=f(i)+g(i)$B_i=f(i)+g(i)$ for all 1≤i≤N$1\le i\le N$.

Now, Chef has lost the original array A$A$ and needs your help to recover it, given array B$B$. It is guaranteed that Chef has obtained the array B$B$ from a valid array A$A$.

Input Format

• The first line contains a single integer T$T$ — the number of test cases. Then the test cases follow.

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• The first line of each test case contains an integer N$N$ — the size of the array A$A$.
• The second line of each test case contains N$N$ space-separated integers B1,B2,…,BN$B_1,B_2,\dots ,B_N$ denoting the array B$B$.

Output Format

For each testcase, output N$N$ space separated integers A1,A2,…,AN$A_1,A_2,\dots ,A_N$ denoting the array A$A$.

Note that 1≤Ai≤105$1\le A_i\le {10}^5$ must hold for all 1≤i≤N$1\le i\le N$ and it is guaranteed that a valid array A$A$ that meets

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 these constraints exists.

If there are multiple answers, output any.

Constraints

• 1≤T≤1000$1\le T\le 1000$
• 1≤N≤105$1\le N\le {10}^5$
• 1≤Bi≤2⋅1010$1\le B_i\le 2\cdot {10}^{10}$
• Th sum of N$N$ over all test cases does not exceed 105${10}^5$.
• 1≤Ai≤105$1\le A_i\le {10}^5$
• It is guaranteed that a valid array A$A$ always exists