## City Game

View as PDF

Points: 15
Time limit: 0.1s
Java 0.3s
Memory limit: 32M

Problem type
Allowed languages
C, C++, Java, Pascal

Bruce is a strategy game programming specialist. In his new city building game the gaming environment is as follows: a city is built up by areas, in which there are streets, trees, factories and buildings. There is still some space in the area that is unoccupied. The strategic task of his game is to win as much rent money from these free spaces. To win rent money you must erect buildings, that can only be rectangular, as long and wide as you can. Bruce is trying to find a way to build the biggest possible building in each area. But he comes across some problems – he is not allowed to destroy already existing buildings, trees, factories and streets in the area he is building in.

Each area has its width and length. The area is divided into a grid of equal square units. The rent paid for each unit on which you're building stands is $. Your task is to help Bruce solve this problem. The whole city is divided into areas. Each one of the areas is rectangular and has a different grid size with its own length and width . The existing occupied units are marked with the symbol . The unoccupied units are marked with the symbol . #### Input The first line of the input contains an integer – determining the number of datasets. Next lines contain the area descriptions. One description is defined in the following way: The first line contains two integers – length and width , separated by a blank space. The next lines contain symbols that mark the reserved or free grid units, separated by a blank space. The symbols used are: – reserved unit – free unit In the end of each area description there is a separating line. #### Output For each data set in the input print on a separate line, on the standard output, the integer that represents the profit obtained by erecting the largest building in the area encoded by the data set. #### Sample Input 2 5 6 R F F F F F F F F F F F R R R F F F F F F F F F F F F F F F 5 5 R R R R R R R R R R R R R R R R R R R R R R R R R #### Sample Output 45 0 ## Comments • commented on July 13, 2020, 11:04 p.m. edited "The rent paid for each unit on which you're building stands is 3$"

it should be "your"

• commented on July 26, 2019, 11:52 a.m. edit 2

This comment is hidden due to too much negative feedback. Click here to view it.

• commented on July 26, 2019, 8:45 a.m. edited

1 2 3 F R F F F F This is a good sample case

• commented on Aug. 2, 2018, 12:48 a.m. edit 5

help my code no work :(

any suggestions for edge cases?

edit: Here's my source: https://hastebin.com/oqecaluvoc.pl

It's passed every case I could think of so far

• commented on Aug. 2, 2018, 9:54 p.m. edit 3

I got Array out of bounds exeption

• commented on Jan. 5, 2018, 7:34 p.m.

Is it promised that there will be only one largest building?

• commented on Jan. 6, 2018, 10:47 a.m.

If there happens to be more than one 'largest' building, the profits will be the same and thus the answer will be the same regardless. The problem statement does not specify that the largest building will be unique, so don't assume it is.

• commented on Dec. 15, 2016, 7:14 p.m.

How is this a dynamic programming problem?

• commented on March 21, 2016, 5:57 p.m.

Test case is fixed now. All submissions were rejudged. Apologize again for all inconveniences.

• commented on March 21, 2016, 11:21 a.m.

Submission: 214140

• commented on March 20, 2016, 2:33 p.m.

Hey Bruce, what are the restrictions on

• commented on March 22, 2016, 9:16 p.m.

K is less than 20

• commented on March 22, 2016, 5:09 p.m.

Aim for per testcase

• commented on March 19, 2016, 7:53 p.m.

There is a space between two consecutive characters, as shown in sample input.

There is a empty line between two cases. So, you are suggested to use scanf(" %d %d", &M, &N) to read the input integers. If you use cin >> M >> N, you probably will get WA.

• commented on March 21, 2016, 10:34 p.m.

yes. it has been fixed