代码随想录算法训练营第19天

77. 组合

给定两个整数 n 和 k,返回范围 [1, n] 中所有可能的 k 个数的组合。

class Solution:
    def combine(self, n: int, k: int) -> List[List[int]]:
        path = []
        res = []
        def dfs(n,k,index):
            if len(path) ==k:
                res.append(path[:])
                return
            for i in range(index,n+1):
                path.append(i)
                dfs(n,k,i+1)
                path.pop()
        dfs(n,k,1)
        return res

216. 组合总和 III

找出所有相加之和为 n 的 k 个数的组合,且满足下列条件:

  • 只使用数字1到9
  • 每个数字 最多使用一次 
class Solution:
    def combinationSum3(self, k: int, n: int) -> List[List[int]]:
        path = []
        res = []
        def dfs(k,n,s,index):
            if len(path) ==k:
                if s == n:
                    res.append(path[:])
                    return
            for i in range(index,10):
                if s + i > n:break
                path.append(i)
                s += i
                dfs(k,n,s,i+1)
                path.pop()
                s -=i
        dfs(k,n,0,1)
        return res

17. 电话号码的字母组合

class Solution:
    def letterCombinations(self, digits: str) -> List[str]:
        hash = {'0':'','1':'','2':'abc','3':'def','4':'ghi','5':'jkl','6':'mno','7':'pqrs','8':'tuv','9':'wxyz'}
        path = ''
        res = []
        def dfs(digits,index,path):
            if index == len(digits):
                res.append(path[:])
                return
            s = hash[digits[index]]
            for i in range(len(s)):
                path += s[i]
                dfs(digits,index + 1,path)
                path = path[:-1]
        if len(digits)==0:return []
        dfs(digits,0,path)
        
        return res

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