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[11/2] 433. Minimum Genetic Mutation
본문
Medium
1813185Add to ListShareA gene string can be represented by an 8-character long string, with choices from 'A'
, 'C'
, 'G'
, and 'T'
.
Suppose we need to investigate a mutation from a gene string start
to a gene string end
where one mutation is defined as one single character changed in the gene string.
- For example,
"AACCGGTT" --> "AACCGGTA"
is one mutation.
There is also a gene bank bank
that records all the valid gene mutations. A gene must be in bank
to make it a valid gene string.
Given the two gene strings start
and end
and the gene bank bank
, return the minimum number of mutations needed to mutate from start
to end
. If there is no such a mutation, return -1
.
Note that the starting point is assumed to be valid, so it might not be included in the bank.
Example 1:
Input: start = "AACCGGTT", end = "AACCGGTA", bank = ["AACCGGTA"] Output: 1
Example 2:
Input: start = "AACCGGTT", end = "AAACGGTA", bank = ["AACCGGTA","AACCGCTA","AAACGGTA"] Output: 2
Example 3:
Input: start = "AAAAACCC", end = "AACCCCCC", bank = ["AAAACCCC","AAACCCCC","AACCCCCC"] Output: 3
Constraints:
start.length == 8
end.length == 8
0 <= bank.length <= 10
bank[i].length == 8
start
,end
, andbank[i]
consist of only the characters['A', 'C', 'G', 'T']
.
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Submissions
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Runtime: 58 ms, faster than 41.86% of Python3 online submissions for Minimum Genetic Mutation.
Memory Usage: 13.9 MB, less than 37.43% of Python3 online submissions for Minimum Genetic Mutation.
Memory Usage: 13.9 MB, less than 37.43% of Python3 online submissions for Minimum Genetic Mutation.
class Solution:
def minMutation(self, start: str, end: str, bank: List[str]) -> int:
# path
bank = set(bank)
def onediff(a,b):
return sum(c1!=c2 for c1,c2 in zip(a,b)) == 1
res = float('inf')
def dfs(curr,depth):
nonlocal res
if depth > res: return
if curr == end:
res = min(res, depth)
return
bank.remove(curr)
for string in bank:
if onediff(curr,string):
dfs(string, depth+1)
bank.add(curr)
bank.add(start)
dfs(start, 0)
return -1 if res == float('inf') else res