Submission #3601951

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Source Code Expand

#!/usr/bin/python3
# -*- coding: utf-8 -*-

"""
https://beta.atcoder.jp/contests/abc008/tasks/abc008_2
"""

import sys
from inspect import currentframe
from itertools import permutations
import math
import numpy as np
from collections import namedtuple

sys.setrecursionlimit(100000)

def debug_print(*args):
    names = {id(v):k for k,v in currentframe().f_back.f_locals.items()}
    print(', '.join(names.get(id(arg),'???')+' = '+repr(arg) for arg in args), file=sys.stderr)


W, H = map(int, input().split())
N = int(input())
Point = namedtuple('Point', ['x', 'y'])
Area = namedtuple('Area', ['bottom_left', 'top_right'])
cranes = [Point(*map(int, input().split())) for _ in range(N)]
earn_memo = {}

def is_in_area(area, point):
    return area.bottom_left.x <= point.x < area.top_right.x and area.bottom_left.y <= point.y < area.top_right.y

# areaで表わされる座標をpoint=(x,y)で4分割したareaを計算
# 但し、座標がareaに入っていなければ空、端なら1-2の領域となる
def split4(area, point):
    bl = area.bottom_left
    tr = area.top_right
    areas = [Area(Point(bl.x, bl.y), Point(point.x, point.y)),
             Area(Point(bl.x, point.y + 1), Point(point.x, tr.y)),
             Area(Point(point.x + 1, bl.y), Point(tr.x, point.y)),
             Area(Point(point.x + 1, point.y + 1), Point(tr.x, tr.y))]
    return list(filter(lambda a: a.bottom_left.x < a.top_right.x and a.bottom_left.y < a.top_right.y, areas))

def earn_gold(area, cranes):
    if area in earn_memo.keys():
        return earn_memo[area]
    earns = [0]
    in_cranes = [crane for crane in cranes if is_in_area(area, crane)]
    for crane in in_cranes:
        sub_areas = split4(area, crane)
        earn_this_split = (area.top_right.y - area.bottom_left.y) + (area.top_right.x - area.bottom_left.x) - 1
        earns.append(sum([earn_gold(sub_area, in_cranes) for sub_area in sub_areas]) + earn_this_split)
    earn = max(earns)
    earn_memo[area] = earn
    return earn

#import cProfile
#cProfile.run('earn_gold(Area(Point(1,1), Point(W + 1, H + 1)), cranes)')
    

print(earn_gold(Area(Point(1,1), Point(W + 1, H + 1)), cranes))

Submission Info

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