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pacificAtlantic.py
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258 lines (235 loc) · 8.16 KB
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# 417. 太平洋大西洋水流问题
from typing import List
class Solution:
# def pacificAtlantic(self, heights: List[List[int]]) -> List[List[int]]:
# m, n = len(heights), len(heights[0])
# res = set()
# memo_p, memo_a = set(), set()
#
# # for i in range(m):
# # memo_p.add((i, 0))
# # for j in range(n):
# # memo_p.add((0, j))
#
# # 先太平洋问题
# def dfs(i, j):
# res.add((i, j))
# for dx, dy in zip([0, 1], [1, 0]):
# x, y = i + dx, j + dy
# if x < m and y < n and heights[x][y] >= heights[i][j]:
# dfs(x, y)
#
# for i in range(m):
# dfs(i, 0)
# for j in range(1, n):
# dfs(0, j)
# a = res
#
#
# res = set()
# def dfs(i, j):
# res.add((i, j))
# for dx, dy in zip([-1, 0], [0, -1]):
# x, y = i + dx, j + dy
# if x < m and y < n and heights[x][y] >= heights[i][j]:
# dfs(x, y)
#
# for i in range(m):
# dfs(i, n-1)
# for j in range(n):
# dfs(m-1, j)
# b = res
#
# return sorted(a & b)
# def pacificAtlantic(self, heights: List[List[int]]) -> List[List[int]]:
# m, n = len(heights), len(heights[0])
#
# res = set()
# memo = set()
# # 先太平洋问题
# def dfs(i, j):
# if (i, j) in memo:
# return
# res.add((i, j))
# memo.add((i, j))
# for dx, dy in zip([0, 1], [1, 0]):
# x, y = i + dx, j + dy
# if x < m and y < n and heights[x][y] >= heights[i][j]:
# dfs(x, y)
#
# for i in range(m):
# dfs(i, 0)
# for j in range(1, n):
# dfs(0, j)
# a = res
#
# res = set()
# memo = set()
# def dfs(i, j):
# if (i, j) in memo:
# return
# res.add((i, j))
# memo.add((i, j))
# for dx, dy in zip([-1, 0], [0, -1]):
# x, y = i + dx, j + dy
# if x < m and y < n and heights[x][y] >= heights[i][j]:
# dfs(x, y)
#
# for i in range(m):
# dfs(i, n-1)
# for j in range(n):
# dfs(m-1, j)
# b = res
#
# return list(map(list, a & b))
# def pacificAtlantic(self, heights: List[List[int]]) -> List[List[int]]:
# m, n = len(heights), len(heights[0])
#
# def dfs(i, j, memo):
# if (i, j) in memo:
# return
# res.add((i, j))
# memo.add((i, j))
# for dx, dy in zip([0, 0, 1, -1], [1, -1, 0, 0]):
# x, y = i + dx, j + dy
# if 0 <= x < m and 0 <= y < n and heights[x][y] >= heights[i][j]:
# dfs(x, y, memo)
#
# # 太平洋
# res = set()
# diff = [[0, 1], [1, 0]]
# for i in range(m):
# dfs(i, 0, set())
# for j in range(1, n):
# dfs(0, j, set())
# a = res
# # print(a)
# # 大西洋 可能各个方向,不一定要左上
# res = set()
# diff = [[0, -1], [-1, 0]]
# for i in range(m):
# dfs(i, n-1, set())
# for j in range(n): # 左上的时候,这里也要改
# dfs(m-1, j, set())
# b = res
# # print(b)
# return list(map(list, a & b))
# def pacificAtlantic(self, heights: List[List[int]]) -> List[List[int]]:
# m, n = len(heights), len(heights[0])
#
# def search(starts):
# visited = set() # 既是访问过的,也是结果上的
#
# def dfs(i, j):
# if (i, j) in visited:
# return
# visited.add((i, j))
# for dx, dy in zip([0, 0, 1, -1], [1, -1, 0, 0]):
# x, y = i + dx, j + dy
# if 0 <= x < m and 0 <= y < n and heights[x][y] >= heights[i][j]:
# dfs(x, y)
#
# for i, j in starts:
# dfs(i, j)
# return visited
#
# p = [(0, j) for j in range(n)] + [(i, 0) for i in range(m)]
# a = [(m-1, j) for j in range(n)] + [(i, n-1) for i in range(m)]
# return list(map(list, search(p) & search(a)))
# def pacificAtlantic(self, heights: List[List[int]]) -> List[List[int]]:
# m, n = len(heights), len(heights[0])
#
# def search(starts):
# visited = set()
#
# def dfs(i, j):
# if (i, j) in visited:
# return
# visited.add((i, j))
# for dx, dy in zip([0, 0, 1, -1], [1, -1, 0, 0]):
# x, y = i + dx, j + dy
# if 0 <= x < m and 0 <= y < n and heights[x][y] >= heights[i][j]:
# dfs(x, y)
#
# for i, j in starts:
# dfs(i, j)
# return visited
#
# p = [(0, j) for j in range(n)] + [(i, 0) for i in range(m)]
# a = [(m-1, j) for j in range(n)] + [(i, n-1) for i in range(m)]
# return list(map(list, search(p) & search(a)))
# def pacificAtlantic(self, heights: List[List[int]]) -> List[List[int]]:
# m, n = len(heights), len(heights[0])
#
# def search(starts):
# visited = set()
#
# def dfs(i, j):
# if (i, j) in visited:
# return
# visited.add((i, j))
# for dx, dy in zip([0, 0, 1, -1], [1, -1, 0, 0]):
# x, y = i + dx, j + dy
# if 0 <= x < m and 0 <= y < n and heights[x][y] >= heights[i][j]:
# dfs(x, y)
#
# for i, j in starts:
# dfs(i, j)
# return visited
#
# p = [(0, j) for j in range(n)] + [(i, 0) for i in range(m)]
# a = [(m-1, j) for j in range(n)] + [(i, n-1) for i in range(m)]
# return list(map(list, search(p) & search(a)))
# def pacificAtlantic(self, heights: List[List[int]]) -> List[List[int]]:
# m, n = len(heights), len(heights[0])
#
# def search(starts):
# res = set()
#
# def dfs(i, j):
# if (i, j) in res:
# return
# res.add((i, j))
#
# for dx, dy in zip([0, 0, 1, -1], [1, -1, 0, 0]):
# x, y = i + dx, j + dy
# if 0 <= x < m and 0 <= y < n and heights[x][y] >= heights[i][j]:
# dfs(x, y)
#
# for i, j in starts:
# dfs(i, j)
# return res
#
# p_box = [(0, y) for y in range(n)] + [(x, 0) for x in range(m)]
# a_box = [(m-1, y) for y in range(n)] + [(x, n-1) for x in range(m)]
#
# return list(map(list, search(p_box) & search(a_box)))
def pacificAtlantic(self, heights: List[List[int]]) -> List[List[int]]:
m, n = len(heights), len(heights[0])
def search(start):
res = set()
def dfs(i, j):
if (i, j) in res:
return
res.add((i, j))
for dx, dy in zip([0, 0, 1, -1], [1, -1, 0, 0]):
x, y = i + dx, j + dy
if 0 <= x < m and 0 <= y < n and heights[x][y] >= heights[i][j]:
dfs(x, y)
for i, j in start:
dfs(i, j)
return res
p = [[0, y] for y in range(n)] + [[x, 0] for x in range(m)]
a = [[m-1, y] for y in range(n)] + [[x, n-1] for x in range(m)]
return list(map(list, search(p) & search(a)))
s = Solution()
heights = [[1,2,2,3,5],[3,2,3,4,4],[2,4,5,3,1],[6,7,1,4,5],[5,1,1,2,4]]
print(s.pacificAtlantic(heights))
heights = [[2,1],[1,2]]
print(s.pacificAtlantic(heights))
heights = [[1]]
print(s.pacificAtlantic(heights))
heights = [[1,2,3],[8,9,4],[7,6,5]]
print(s.pacificAtlantic(heights))
heights = [[1,1],[1,1],[1,1]]
print(s.pacificAtlantic(heights))