CF500F New Year Shopping

Description

Dohyun is running a grocery store. He sells $ n $ items numbered by integers from 1 to $ n $ . The $ i $ -th ( $ 1

Input Format

N/A

Output Format

N/A

Explanation/Hint

Consider the first sample. ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF500F/9c00a88b2692ac00333869b052da21ee435d6a31.png)1. At time 1, only the 2nd item is available. I can buy the 2nd item using 3 dollars and my happiness will increase by 5. 2. At time 2, the 1st, 2nd, and 3rd item is available. I can buy the 1st item using 2 dollars, and the 2nd item using 3 dollars. My happiness will increase by 3 + 5 = 8. 3. At time 2, the 1st, 2nd, and 3rd item is available. I can buy the 1st item using 2 dollars, and the 3nd item using 4 dollars. My happiness will increase by 3 + 7 = 10. 4. At time 5, the 1st, 3rd, and 4th item is available. I can buy the 1st item using 2 dollars, and the 4th item using 11 dollars. My happiness will increase by 3 + 15 = 18. Note that I don't need to use the whole budget in this case.