C. Assembly via Remainders

You are given an array 𝑥2,𝑥3,…,𝑥𝑛. Your task is to find any array 

𝑎1,…,𝑎𝑛, where:

• 1≤𝑎𝑖≤10^9 for all 1≤𝑖≤𝑛
• 𝑥𝑖=𝑎𝑖mod𝑎𝑖−1 for all 2≤𝑖≤𝑛

Here 𝑐mod𝑑 denotes the remainder of the division of the integer 𝑐 by the integer 𝑑. For example 5mod2=1, 72mod3=0, 143mod14=3

Note that if there is more than one 𝑎 which satisfies the statement, you are allowed to find any.