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LeetCode Unique Paths
基本DP O(mn)
def uniquePaths(self, m, n):
record = []
record.append([1]*n)
for i in range(1,m):
temp = [1]
for j in range(1,n):
temp.append(record[-1][j]+temp[-1])
record.append(temp)
return record[m-1][n-1]
优化：O(m+n) 二项式系数
递归超时，因为中间部分的格子到目标的路径每次都重新算了一遍，树状重复＝ ＝
def uniquePaths(self, m, n):
def isValid(x,y):
return (x<m and x>=0 and y<n and y>=0)
def goNext(x,y):
if x==m-1 and y==n-1:
return 1
if isValid(x,y):
return goNext(x+1,y) + goNext(x,y+1)
else:
return 0
return goNext(0,0)
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