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Java-based LeetCode algorithm problem solutions, regularly updated
package g0001_0100.s0077_combinations;
// #Medium #Backtracking #Algorithm_I_Day_11_Recursion_Backtracking
// #2023_08_11_Time_11_ms_(77.40%)_Space_93_MB_(5.21%)
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.List;
/**
* 77 - Combinations\.
*
* Medium
*
* Given two integers `n` and `k`, return _all possible combinations of_ `k` _numbers out of the range_ `[1, n]`.
*
* You may return the answer in **any order**.
*
* **Example 1:**
*
* **Input:** n = 4, k = 2
*
* **Output:** [ [2,4], [3,4], [2,3], [1,2], [1,3], [1,4], ]
*
* **Example 2:**
*
* **Input:** n = 1, k = 1
*
* **Output:** [[1]]
*
* **Constraints:**
*
* * `1 <= n <= 20`
* * `1 <= k <= n`
**/
@SuppressWarnings("java:S1149")
public class Solution {
public List> combine(int n, int k) {
List> ans = new ArrayList<>();
// Boundary case
if (n > 20 || k < 1 || k > n) {
return ans;
}
backtrack(ans, n, k, 1, new ArrayDeque<>());
return ans;
}
private void backtrack(
List> ans, int n, int k, int s, ArrayDeque stack) {
// Base case
// If k becomes 0
if (k == 0) {
ans.add(new ArrayList<>(stack));
return;
}
// Start with s till n-k+1
for (int i = s; i <= (n - k) + 1; i++) {
stack.push(i);
// Update start for recursion and decrease k by 1
backtrack(ans, n, k - 1, i + 1, stack);
stack.pop();
}
}
}
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