#288. VF

    ID: 288 传统题 1000ms 64MiB 尝试: 0 已通过: 0 难度: (无) 上传者: 标签>动态规划动态规划数位DP高精度数论

VF

VF

题目描述

Vasya is the beginning mathematician. He decided to make an important contribution to the science and to become famous all over the world. But how can he do that if the most interesting facts such as Pythagor’s theorem are already proved? Correct! He is to think out something his own, original. So he thought out the Theory of Vasya’s Functions. Vasya’s Functions (VF) are rather simple: the value of the Nth VF in the point S is an amount of integers from 1 to N that have the sum of digits S. You seem to be great programmers, so Vasya gave you a task to find the milliard VF value (i.e. the VF with N = 109) because Vasya himself won’t cope with the task. Can you solve the problem?

输入说明

There are multiple test cases.
Integer S (1 ≤ S ≤ 81).

输出说明

The milliard VF value in the point S.

样例

输入

1

输出

10