The segment counts by social group and species or species group for the Waterfowl Breeding Population and Habitat Survey and associated segment effort information. Three data files are included with their associated metadata (html and xml formats). Segment counts are summed counts of waterfowl per segment and are separated into two files, described below, along with the effort table needed to analyze recent segment count information. wbphs_segment_counts_1955to1999_forDistribution.csv, which represents the period prior the collection of geolocated data. There is no associated effort file for these counts and segments with zero birds are included in the segment counts table, so effort can be inferred; there is no information to determine the proportion of each segment surveyed for this period and it must be presumed they were surveyed completely. Number of rows in table = 1,988,290. wbphs_segment_counts_forDistribution.csv, which contains positive segment records only, by species or species group beginning with 2000. wbphs_segment_effort_forDistribution.csv file is important for this segment counts file and can be used to infer zero value segments, by species or species group. Number of rows in table = 381,402. wbphs_segment_effort_forDistribution.csv. The segment survey effort and location from the Waterfowl Breeding Population and Habitat Survey beginning with 2000. If a segment was not flown, it is absent from the table for the corresponding year. Number of rows in table = 67,874. Also included here is a small R code file, createSingleSegmentCountTable.R, which can be run to format the 2000+ data to match the 1955-1999 format and combine the data over the two time periods. Please consult the metadata for an explanation of the fields and other information to understand the limitations of the data.

Problem description

Pizza

The pizza is represented as a rectangular, 2-dimensional grid of R rows and C columns. The cells within the grid are referenced using a pair of 0-based coordinates [r, c] , denoting respectively the row and the column of the cell.

Each cell of the pizza contains either:

mushroom, represented in the input file as M
tomato, represented in the input file as T

Slice

A slice of pizza is a rectangular section of the pizza delimited by two rows and two columns, without holes. The slices we want to cut out must contain at least L cells of each ingredient (that is, at least L cells of mushroom and at least L cells of tomato) and at most H cells of any kind in total - surprising as it is, there is such a thing as too much pizza in one slice. The slices being cut out cannot overlap. The slices being cut do not need to cover the entire pizza.

Goal

The goal is to cut correct slices out of the pizza maximizing the total number of cells in all slices. Input data set The input data is provided as a data set file - a plain text file containing exclusively ASCII characters with lines terminated with a single ‘ ’ character at the end of each line (UNIX- style line endings).

File format

The file consists of:

one line containing the following natural numbers separated by single spaces:
R (1 ≤ R ≤ 1000) is the number of rows
C (1 ≤ C ≤ 1000) is the number of columns
L (1 ≤ L ≤ 1000) is the minimum number of each ingredient cells in a slice
H (1 ≤ H ≤ 1000) is the maximum total number of cells of a slice

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R lines describing the rows of the pizza (one after another). Each of these lines contains C characters describing the ingredients in the cells of the row (one cell after another). Each character is either ‘M’ (for mushroom) or ‘T’ (for tomato).

Example

3 5 1 6
TTTTT
TMMMT
TTTTT

3 rows, 5 columns, min 1 of each ingredient per slice, max 6 cells per slice

Example input file.

Submissions

File format

The file must consist of:

one line containing a single natural number S (0 ≤ S ≤ R × C) , representing the total number of slices to be cut,
U lines describing the slices. Each of these lines must contain the following natural numbers separated by single spaces:
r 1 , c 1 , r 2 , c 2 describe a slice of pizza delimited by the rows r (0 ≤ r1,r2 < R, 0 ≤ c1, c2 < C) 1 and r 2 and the columns c 1 and c 2 , including the cells of the delimiting rows and columns. The rows ( r 1 and r 2 ) can be given in any order. The columns ( c 1 and c 2 ) can be given in any order too.

Example

0 0 2 1
0 2 2 2
0 3 2 4

3 slices.

First slice between rows (0,2) and columns (0,1).
Second slice between rows (0,2) and columns (2,2).
Third slice between rows (0,2) and columns (3,4).
Example submission file.

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Slices described in the example submission file marked in green, orange and purple. Validation

For the solution to be accepted:

the format of the file must match the description above,
each cell of the pizza must be included in at most one slice,
each slice must contain at least L cells of mushroom,
each slice must contain at least L cells of tomato,
total area of each slice must be at most H

Scoring

The submission gets a score equal to the total number of cells in all slices. Note that there are multiple data sets representing separate instances of the problem. The final score for your team is the sum of your best scores on the individual data sets. Scoring example

The example submission file given above cuts the slices of 6, 3 and 6 cells, earning 6 + 3 + 6 = 15 points.

Number of records in the Atlas of Living Australia for taxa pre-2012 and taxa in 2015. This data was sourced from the Atlas of Living Australia. Further information can be found at http://dashboard.ala.org.au/.\r \r This data has been used by the Department of Environment and Energy to produce Figure BIO30 in the Biodiversity theme of Australia State of the Environment 2016, available at \r \r https://soe.environment.gov.au/theme/biodiversity/topic/2016/management-capacity#biodiversity-figure-BIO30

Number of records (No.), percentage of scats with each prey species (% S) and percentage of records of each prey species per total of records (% R) found in otter scats collected from the Mopan, Pasion and San Pedro rivers, northern Guatemala.