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March 26, 2023 04:16
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C - 2D Plane 2N Points https://atcoder.jp/contests/abc091/tasks/arc092_a
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class BipartiteMatching: | |
def __init__(self, sl, sr): | |
self.__size_left = sl | |
self.__size_right = sr | |
self.__list = [[] for _ in range(sl)] | |
def add_edge(self, l, r): | |
self.__list[l].append(r) | |
def dfs(self, l, seen): | |
if seen[l]: | |
return False | |
seen[l] = True | |
for r in self.__list[l]: | |
if self.__r2l[r] == -1 or self.dfs(self.__r2l[r], seen): | |
self.__l2r[l] = r | |
self.__r2l[r] = l | |
return True | |
return False | |
def solv(self): | |
res = [] | |
self.__l2r = [-1 for _ in range(self.__size_left)] | |
self.__r2l = [-1 for _ in range(self.__size_right)] | |
while True: | |
update = False | |
seen = [False for _ in range(self.__size_left)] | |
for l in range(self.__size_left): | |
if self.__l2r[l] != -1: | |
continue | |
if self.dfs(l, seen): | |
update = True | |
break | |
if not update: | |
break | |
for l in range(self.__size_left): | |
if self.__l2r[l] != -1: | |
res.append([l, self.__l2r[l]]) | |
return res | |
N = int(input()) | |
red = [] | |
for i in range(N): | |
a, b = map(int, input().split()) | |
red.append([a, b]) | |
blue = [] | |
for i in range(N): | |
c, d = map(int, input().split()) | |
blue.append([c, d]) | |
bm = BipartiteMatching(N, N) | |
for i in range(N): | |
for j in range(N): | |
if red[i][0] < blue[j][0] and red[i][1] < blue[j][1]: | |
bm.add_edge(i, j) | |
print(len(bm.solv())) |
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二部マッチング問題を解くためのクラス - Mae向きなブログ