class Solution {
public List<List<Integer>> combine(int n, int k) {
List<List<Integer>> result = new ArrayList<>();
backtrack(1,new ArrayList<>(),n,k,result);
return result;
}
private void backtrack(int start,List<Integer> lis,int n,int k,List<List<Integer>> result){
if(lis.size() == k){
result.add(new ArrayList<>(lis));
return;
}
for(int i = start;i <= n;i++){
lis.add(i);
backtrack(i+1,lis,n,k,result);
lis.remove(lis.size()-1);
}
}
}
class Solution {
public List<List<Integer>> combinationSum3(int k, int n) {
List<List<Integer>> ans = new ArrayList<>();
List<Integer> path = new ArrayList<>(k);
dfs(9, n, k, ans, path);
return ans;
}
private void dfs(int i, int t, int k, List<List<Integer>> ans, List<Integer> path) {
int d = k - path.size();
if (t < 0 || t > (i * 2 - d + 1) * d / 2) {
return;
}
if (d == 0) {
ans.add(new ArrayList<>(path));
return;
}
for (int j = i; j >= d; j--) {
path.add(j);
dfs(j - 1, t - j, k, ans, path);
path.remove(path.size() - 1);
}
}
}
class Solution {
private static final String[] MAPPING = new String[] {
"", "", "abc", "def", "ghi", "jkl", "mno", "pqrs", "tuv", "wxyz"
};
private final List<String> ans = new ArrayList<>();
private char[] digits;
private char[] path;
public List<String> letterCombinations(String digits) {
int n = digits.length();
if (n == 0) {
return List.of();
}
this.digits = digits.toCharArray();
path = new char[n];
dfs(0);
return ans;
}
private void dfs(int i) {
if (i == digits.length) {
ans.add(new String(path));
return;
}
for (char c : MAPPING[digits[i] - '0'].toCharArray()) {
path[i] = c;
dfs(i + 1);
}
}
}