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brute_force.py
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brute_force.py
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from more_itertools import powerset
def read_data():
n, k = [int(x) for x in input().split()]
sections = []
for _ in range(k):
sections.append(tuple([int(x) for x in input().split()]))
return n, k, sections
def all_points(section):
x1, y1, x2, y2 = section
points = []
for x in range(x1, x2 + 1):
for y in range(y1, y2 + 1):
points.append((x, y))
return points
def extract_data(sections):
rows = {}
columns = {}
points = []
for section in sections:
for row, column in all_points(section):
if not row in rows:
rows[row] = len(rows)
if not column in columns:
columns[column] = len(columns)
points.append((row, column))
points = [(rows[row], columns[column]) for row, column in points]
return points, len(rows), len(columns)
def split(points):
points_by_row = {}
points_by_column = {}
for i, (row, column) in enumerate(points):
if not row in points_by_row:
points_by_row[row] = []
points_by_row[row].append(i)
if not column in points_by_column:
points_by_column[column] = []
points_by_column[column].append(i)
return points_by_row, points_by_column
def fullfills(tpl, points, points_by_row, points_by_column, n_rows):
covered_points = set()
for x in tpl:
if x < n_rows:
for id in points_by_row[x]:
covered_points.add(id)
else:
for id in points_by_column[x - n_rows]:
covered_points.add(id)
if len(covered_points) == len(points):
return True
return False
def main(sections=None):
if sections is None:
_, _, sections = read_data()
points, n_rows, n_columns = extract_data(sections)
points_by_row, points_by_column = split(points)
for tpl in powerset([i for i in range(n_rows + n_columns)]):
if fullfills(tpl, points, points_by_row, points_by_column, n_rows):
return len(tpl)
if __name__ == "__main__":
main()