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g0001_0100.s0039_combination_sum.Solution Maven / Gradle / Ivy

package g0001_0100.s0039_combination_sum;

// #Medium #Top_100_Liked_Questions #Array #Backtracking
// #2022_02_18_Time_1_ms_(100.00%)_Space_42.2_MB_(45.44%)

import java.util.ArrayList;
import java.util.List;

public class Solution {
    public List> combinationSum(int[] coins, int amount) {
        List> ans = new ArrayList<>();
        List subList = new ArrayList<>();
        combinationSumRec(coins.length, coins, amount, subList, ans);
        return ans;
    }

    private void combinationSumRec(
            int n, int[] coins, int amount, List subList, List> ans) {
        if (amount == 0 || n == 0) {
            if (amount == 0) {
                List base = new ArrayList<>(subList);
                ans.add(base);
            }
            return;
        }

        if (amount - coins[n - 1] >= 0) {
            subList.add(coins[n - 1]);
            combinationSumRec(n, coins, amount - coins[n - 1], subList, ans);
            subList.remove(subList.size() - 1);
        }

        combinationSumRec(n - 1, coins, amount, subList, ans);
    }
}