Medium
A 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.
"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
, and bank[i]
consist of only the characters ['A', 'C', 'G', 'T']
.function minMutation(startGene: string, endGene: string, bank: string[]): number {
const isInBank = (set: Set<string>, cur: string): string[] => {
const res: string[] = []
for (const each of set) {
let diff = 0
for (let i = 0; i < each.length; i++) {
if (each[i] !== cur[i]) {
diff++
if (diff > 1) break
}
}
if (diff === 1) {
res.push(each)
}
}
return res
}
const set = new Set(bank)
const queue: string[] = [startGene]
let step = 0
while (queue.length > 0) {
const curSize = queue.length
for (let i = 0; i < curSize; i++) {
const cur = queue.shift()!
if (cur === endGene) {
return step
}
for (const next of isInBank(set, cur)) {
queue.push(next)
set.delete(next)
}
}
step++
}
return -1
}
export { minMutation }