Hard
In a project, you have a list of required skills req_skills
, and a list of people. The ith
person people[i]
contains a list of skills that the person has.
Consider a sufficient team: a set of people such that for every required skill in req_skills
, there is at least one person in the team who has that skill. We can represent these teams by the index of each person.
team = [0, 1, 3]
represents the people with skills people[0]
, people[1]
, and people[3]
.Return any sufficient team of the smallest possible size, represented by the index of each person. You may return the answer in any order.
It is guaranteed an answer exists.
Example 1:
Input: req_skills = [“java”,”nodejs”,”reactjs”], people = [[“java”],[“nodejs”],[“nodejs”,”reactjs”]]
Output: [0,2]
Example 2:
Input: req_skills = [“algorithms”,”math”,”java”,”reactjs”,”csharp”,”aws”], people = [[“algorithms”,”math”,”java”],[“algorithms”,”math”,”reactjs”],[“java”,”csharp”,”aws”],[“reactjs”,”csharp”],[“csharp”,”math”],[“aws”,”java”]]
Output: [1,2]
Constraints:
1 <= req_skills.length <= 16
1 <= req_skills[i].length <= 16
req_skills[i]
consists of lowercase English letters.req_skills
are unique.1 <= people.length <= 60
0 <= people[i].length <= 16
1 <= people[i][j].length <= 16
people[i][j]
consists of lowercase English letters.people[i]
are unique.people[i]
is a skill in req_skills
.class Solution {
private var ans: List<Int> = ArrayList()
fun smallestSufficientTeam(skills: Array<String>, people: List<List<String>>): IntArray {
val n = skills.size
val m = people.size
val map: MutableMap<String, Int> = HashMap()
for (i in 0 until n) {
map[skills[i]] = i
}
val arr = IntArray(m)
for (i in 0 until m) {
val list = people[i]
var `val` = 0
for (skill in list) {
`val` = `val` or (1 shl map[skill]!!)
}
arr[i] = `val`
}
val banned = BooleanArray(m)
for (i in 0 until m) {
for (j in i + 1 until m) {
val `val` = arr[i] or arr[j]
if (`val` == arr[i]) {
banned[j] = true
} else if (`val` == arr[j]) {
banned[i] = true
}
}
}
helper(0, n, arr, mutableListOf(), banned)
val res = IntArray(ans.size)
for (i in res.indices) {
res[i] = ans[i]
}
return res
}
private fun helper(cur: Int, n: Int, arr: IntArray, list: MutableList<Int>, banned: BooleanArray) {
if (cur == (1 shl n) - 1) {
if (ans.isEmpty() || ans.size > list.size) {
ans = ArrayList(list)
}
return
}
if (ans.isNotEmpty() && list.size >= ans.size) {
return
}
var zero = 0
while (cur shr zero and 1 == 1) {
zero++
}
for (i in arr.indices) {
if (banned[i]) {
continue
}
if (arr[i] shr zero and 1 == 1) {
list.add(i)
helper(cur or arr[i], n, arr, list, banned)
list.removeAt(list.size - 1)
}
}
}
}