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**High Buildings Solutions Round E | Kick Start 2020**

**High Buildings Solutions Round E | Kick Start 2020**

In a vague nation, Google has an office grounds comprising of N places of business in a line, numbered from 1 to N from left to right. At the point when spoken to in meters, the tallness of each building is a number between 1 to N, comprehensive.

Andre and Sule are two Google representatives working in this grounds. On their mid-day break, they needed to see the horizon of the grounds they are working in. Accordingly, Andre went to the furthest left purpose of the grounds (to one side of building 1), looking towards the furthest right purpose of the grounds (to one side of building N). Likewise, Sule went to the furthest right purpose of the grounds, looking towards the furthest left purpose of the grounds.

To Andre, a structure x is noticeable if and just if there is no structure to one side of building x that is carefully higher than building x. So also, to Sule, a structure x is noticeable if and just if there is no structure to one side of building x that is carefully higher than building x.

Andre discovered that there are A structures that are noticeable to him, while Sule discovered that there are B structures that are obvious to him. After they refocused and traded data, they additionally discovered that there are C structures that are obvious to them two.

They are pondering about the stature of each building. They are giving you the estimation of N, A, B, and C for your data. As their companion, you might want to develop a potential stature for each building with the end goal that the data learned on the past passage is right, or show that there is no conceivable tallness development that coordinates the data learned (in this manner at any rate one of them probably been mixed up).

Information

The main line of the information gives the quantity of experiments, T. T experiments follow. Each comprises of a solitary line with four whole numbers N, A, B, and C: the data given by Andre and Sule.

Yield

For each experiment, yield one line containing Case #x: y, where x is the experiment number (beginning from 1) and y is IMPOSSIBLE if there is no conceivable tallness for each working as indicated by the above data, or N space-isolated numbers in any case. The I-th number in y must be the stature of the I-th working (in meters) between 1 to N.

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Anybody solved it then please share the code??