A shop has the following discount layers
1st layer – Buy 1, get 2 free.
2nd layer – Buy 2, get 3 free.
3rd layer – Buy 3, get 4 free.
And so on there are infinite layers on the same pattern.
A new condition has been introduced by the shop that anybody can avail one layer discount only once (i.e., if you are planning to purchase 6 articles, then you can not purchase 2 articles in 1st layer and get rest four free. Since you have availed 1st layer discount, you can now ask for only other layer discounts.) Sona is purchasing 8 articles from the store. What is the maximum possible discount that she can avail?