| We are starting preparations for Hacker Cup 2013 really early. Our first step | |
| is to prepare billboards to advertise the contest. We have text for hundreds | |
| of billboards, but we need your help to design them. | |
| The billboards are of different sizes, but are all rectangular. The billboard | |
| widths and heights are all integers. We will supply you with the size in | |
| inches and the text we want printed. We want you to tell us how large we can | |
| print the text, such that it fits on the billboard without splitting any words | |
| across lines. Since this is to attract hackers like yourself, we will use a | |
| monospace font, meaning that all characters are of the same width (e.g.. 'l' | |
| and 'm' take up the same horizontal space, as do space characters). The | |
| characters in our font are of equal width and height, and there will be no | |
| additional spacing between adjacent characters or adjacent rows. If you print | |
| a word on one line and print the next word on the next line, you do not need | |
| to print a space between them. | |
| Let's say we want to print the text "Facebook Hacker Cup 2013" on a 350x100" | |
| billboard. If we use a font size of 33" per character, then we can print | |
| "Facebook" on the first line, "Hacker Cup" on the second and "2013" on the | |
| third. The widest of the three lines is "Hacker Cup", which is 330" wide. | |
| There are three lines, so the total height is 99". We cannot go any larger. | |
| ### Input | |
| The first line of the input file contains a single integer T: the number of | |
| test cases. T lines follow, each representing a single test case in the form | |
| "W H S". W and H are the width and height in inches of the available space. S | |
| is the text to be written. | |
| ### Output | |
| Output T lines, one for each test case. For each case, output "Case #t: s", | |
| where t is the test case number (starting from 1) and s is the maximum font | |
| size, in inches per character, we can use. The size must be an integral number | |
| of inches. If the text does not fit when printed at a size of 1", then output | |
| 0. | |
| ### Constraints | |
| * 1 ≤ T ≤ 20 | |
| * 1 ≤ W, H ≤ 1,000 | |
| * The text will contain only lower-case letters a-z, upper-case letters A-Z, digits 0-9 and the space character | |
| * The text will not start or end with the space character, and will never contain two adjacent space characters | |
| * The text in each case contains at most 1,000 characters | |