SP8611 NY10E - Non-Decreasing Digits

Description

A number is said to be made up of non-decreasing digits if all the digits to the left of any digit is less than or equal to that digit.For example, the four-digit number **1234** is composed of digits that are non-decreasing. Some other four-digit numbers that are composed of non-decreasing digits are **0011**, **1111**, **1112**, **1122**, **2223**. As it turns out, there are exactly 715 four-digit numbers composed of non-decreasing digits. Notice that leading zeroes are required: 0000, 0001, 0002 are all valid four-digit numbers with non-decreasing digits. For this problem, you will write a program that determines how many such numbers there are with a specified number of digits.

Input Format

The first line of input contains a single integer P, (1

Output Format

For each data set there is one line of output. It contains the data set number followed by a single space, followed by the number of N digit values that are composed entirely of non-decreasing digits. **Example** ``` Input: 3 1 2 2 3 3 4 Output: 1 55 2 220 3 715 ```