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BOJ. Longest Increasing Subsequence(5) (14003)

[Link] https://www.acmicpc.net/problem/14003


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import java.util.*;
import java.io.*;

public class Main {
	static BufferedReader br;
	static int max = 0, maxIdx = 0;
	public static void main(String[] args) throws IOException {
		br = new BufferedReader(new InputStreamReader(System.in));
		StringBuilder sb = new StringBuilder();
		String[] line;

		int n = toi(br.readLine());
		line = getLine();
		int[] dp = new int[n];
		int max = 0, maxIdx = 0;
		int arr[] = new int[n];
		ArrayList<Integer> al = new ArrayList<>();
		Arrays.fill(dp, -1);
		al.add(toi(line[0]));
		arr[0] = toi(line[0]);
		dp[0] = 0;

		for(int i = 1; i < n; i++) {
			int v = toi(line[i]), left = 0, right = al.size() - 1, mid;
			arr[i] = v;
			if(al.get(al.size() - 1) < v) {
				al.add(v);
				maxIdx = i;
				dp[i] = al.size() - 1;
				continue;
			}
			while(left <= right) {
				mid = (left + right) / 2;
				if(al.get(mid) >= v) right = mid - 1;
				else left = mid + 1;
			}
			al.set(right + 1, v);
			dp[i] = right + 1;
		}

		sb.append(dp[maxIdx] + 1).append("\n");
		Stack<Integer> stack = new Stack<>();
		stack.push(arr[maxIdx]);
		int val = dp[maxIdx] - 1;
		for(int i = maxIdx - 1; i >= 0; i--) {
			if(dp[i] == val) {
				stack.push(arr[i]);
				val--;
			}
			if(val == -1) break;
		}
		while(!stack.isEmpty()) { sb.append(stack.pop()).append(" "); }
		print(sb);
	}

	static int toi(String s) { return Integer.parseInt(s); }
	static String[] getLine() throws IOException { return br.readLine().split(" "); }
	static <T> void print(T s) { System.out.print(s); }
	static <T> void println(T s) { System.out.println(s); }
}
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