13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T60d,

Please note that the time limit for this problem is only 0.5 seconds per test.

Vladislav wrote the integers from $$$1$$$ to $$$n$$$, inclusive, on the board. Then he replaced each integer with the sum of its digits.

What is the sum of the numbers on the board now?

For example, if $$$n=12$$$ then initially the numbers on the board are: $$$$$$1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.$$$$$$ Then after the replacement, the numbers become: $$$$$$1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3.$$$$$$ The sum of these numbers is $$$1+2+3+4+5+6+7+8+9+1+2+3=51$$$. Thus, for $$$n=12$$$ the answer is $$$51$$$.

Input

The first line contains an integer $$$t$$$ ($$$1 \leq t \leq 10^4$$$) — the number of test cases.

The only line of each test case contains a single integer $$$n$$$ ($$$1 \leq n \leq 2 \cdot 10^5$$$) — the largest number Vladislav writes.

Vlad and a Sum of Sum of Digits

Examples