import java.util.Arrays;

public class Main {
    public static int findMinNonCreatableSum(int[] coins) {
        // Sort the array
        Arrays.sort(coins);
        
        // Initialize max creatable sum
        int maxCreatable = 0;
        
        // Iterate through coins
        for (int coin : coins) {
            // If current coin is greater than maxCreatable + 1,
            // we found our answer
            if (coin > maxCreatable + 1) {
                return maxCreatable + 1;
            }
            // Add current coin to maxCreatable
            maxCreatable += coin;
        }
        
        // If we can create all sums up to maxCreatable,
        // the answer is maxCreatable + 1
        return maxCreatable + 1;
    }

    public static void main(String[] args) {
        int[] coins = {2, 9, 1, 2, 7};
        int result = findMinNonCreatableSum(coins);
        System.out.println("Smallest sum that cannot be created: " + result);
    }
}

import java.util.Arrays;

public class LongestIncreasingSubsequence {
    public int lengthOfLIS(int[] nums) {
        if (nums.length == 0) {
            return 0;
        }

        int[] dp = new int[nums.length];
        Arrays.fill(dp, 1); // Initialize all elements in dp array to 1, as each element itself is a valid subsequence of length 1.

        int maxLength = 1; // Initialize the maximum length to 1, considering a single element as the sequence.

        for (int i = 1; i < nums.length; i++) {
            for (int j = 0; j < i; j++) {
                if (nums[i] > nums[j]) {
                    dp[i] = Math.max(dp[i], dp[j] + 1); // If nums[i] is greater than nums[j], update the longest subsequence length ending at i.
                }
            }
            maxLength = Math.max(maxLength, dp[i]); // Update the maximum length if needed.
        }

        return maxLength;
    }

    public static void main(String[] args) {
        LongestIncreasingSubsequence lis = new LongestIncreasingSubsequence();
        int[] nums = {10, 9, 2, 5, 3, 7, 101, 18};
        int result = lis.lengthOfLIS(nums);
        System.out.println("Length of the Longest Increasing Subsequence: " + result); // Output: 4
    }
}

public class Daedalus extends Athenian
{
	private Story story;
	public ArrayList<Skill> skills = new ArrayList<Skill>();
	public ArrayList<Athenian> children = new ArrayList<Athenian>();
	
	public Daedalus(Story story, ArrayList<Skill> inherentSkills)
	{
	if(story != null)
	System.out.println("ERROR No one is created with a story.");

	skills.add(inherentSkills);
	}

	public Momento advanceStory(Scene s)
	{
	System.err.println("ERROR Don't know how to proceed...");
	}
}


//██╗  ░█████╗░███╗░░░███╗  ██████╗░░█████╗░███████╗██████╗░░█████╗░██╗░░░░░██╗░░░██╗░██████╗
//██║  ██╔══██╗████╗░████║  ██╔══██╗██╔══██╗██╔════╝██╔══██╗██╔══██╗██║░░░░░██║░░░██║██╔════╝
//██║  ███████║██╔████╔██║  ██║░░██║███████║█████╗░░██║░░██║███████║██║░░░░░██║░░░██║╚█████╗░
//██║  ██╔══██║██║╚██╔╝██║  ██║░░██║██╔══██║██╔══╝░░██║░░██║██╔══██║██║░░░░░██║░░░██║░╚═══██╗
//██║  ██║░░██║██║░╚═╝░██║  ██████╔╝██║░░██║███████╗██████╔╝██║░░██║███████╗╚██████╔╝██████╔╝
//╚═╝  ╚═╝░░╚═╝╚═╝░░░░░╚═╝  ╚═════╝░╚═╝░░╚═╝╚══════╝╚═════╝░╚═╝░░╚═╝╚══════╝░╚═════╝░╚═════╝░

public class Solution {
    public ListNode mergeTwoLists(ListNode l1, ListNode l2) {
        ListNode head = new ListNode(0);
        ListNode handler = head;
        while(l1 != null && l2 != null) {
            if (l1.val <= l2.val) {
                handler.next = l1;
                l1 = l1.next;
            } else {
                handler.next = l2;
                l2 = l2.next;
            }
            handler = handler.next;
        }
        
        if (l1 != null) {
            handler.next = l1;
        } else if (l2 != null) {
            handler.next = l2;
        }
        
        return head.next;
    }
}

public static String addBinary(){
 // The two input Strings, containing the binary representation of the two values:
    String input0 = "1010";
    String input1 = "10";

    // Use as radix 2 because it's binary    
    int number0 = Integer.parseInt(input0, 2);
    int number1 = Integer.parseInt(input1, 2);

    int sum = number0 + number1;
    return Integer.toBinaryString(sum); //returns the answer as a binary value;
}

//Leif Messinger
//Solves wordle
//Needs a list of wordle words, newline separated and 5 characters each

import java.util.*;
import java.io.File;
import java.io.FileNotFoundException;

class WordleSolver {

	public static void printPointer(int position){
		for(int i = 0; i < position; ++i){
			System.out.print(" ");
		}
		System.out.print("^");
	}

	public static void main(String[] args) throws FileNotFoundException{
		if(args.length < 1) return;
		File dictionary = new File(args[0]);
		Scanner sc = new Scanner(dictionary);
		ArrayList<String> possibleWords = new ArrayList<String>();
		while(sc.hasNextLine()){
			possibleWords.add(sc.nextLine());
		}

		Scanner input = new Scanner(System.in);

		while(possibleWords.size() > 0){
			//Choose a word out of the possible words
			final int randomIndex = (int)(Math.random() * possibleWords.size());
			String chosenWord = possibleWords.get(randomIndex);
			possibleWords.remove(randomIndex);

			System.out.println("Is it correct?");
			for(int i = 0; i < chosenWord.length(); ++i){
				System.out.println(chosenWord);
				printPointer(i);
				System.out.println(" y/n?");
				if(input.nextLine().toLowerCase().contains("y")){
					//Filter by correct character
					for(int possibleWord = possibleWords.size() - 1; possibleWord >= 0; --possibleWord){ //Has to be backwards for removing entries, also has to be int not unsigned
						if(possibleWords.get(possibleWord).charAt(i) != chosenWord.charAt(i)){
							possibleWords.remove(possibleWord);
						}
					}
				}
			}
			System.out.println("Is it misplaced?");
			//Stores a count of every letter misplaced
			short[] misplacedCounts = new short[('z'-'a')+1]; //Praise be the garbage collector
			for(int i = 0; i < chosenWord.length(); ++i){
				System.out.println(chosenWord);
				printPointer(i);
				System.out.println(" y/n?");
				if(input.nextLine().toLowerCase().contains("y")){
					//Filter to make sure there's at least as many letters as needed
					++misplacedCounts[(chosenWord.charAt(i) - 'a') - 1];
					for(int possibleWord = possibleWords.size() - 1; possibleWord >= 0; --possibleWord){	//Has to be backwards for removing entries, also has to be int not unsigned
						int count = 0;
						for(int j = 0; j < possibleWords.get(possibleWord).length(); ++j){
							if(possibleWords.get(possibleWord).charAt(j) == chosenWord.charAt(i))
								++count;
						}
						//If there's not enough of the character that we need, then we remove that from the list of possible characters
						if(count < misplacedCounts[(chosenWord.charAt(i) - 'a') - 1]){
							possibleWords.remove(possibleWord);
						}
					}
					//Also filter out words where that letter doesn't belong there
					for(int possibleWord = possibleWords.size() - 1; possibleWord >= 0; --possibleWord){ //Has to be backwards for removing entries, also has to be int not unsigned
						if(possibleWords.get(possibleWord).charAt(i) == chosenWord.charAt(i)){
							possibleWords.remove(possibleWord);
							continue;	//Breaks the current word and moves on in the loop
						}
					}
				}
			}
		}
	}
}