SEERC 2008 Problem A Stock Exchange

POJ 3903

题目大意

给定一个数组P，寻找最长的递增子序列，数组最大长度100000。

解决方案

很经典的问题了，由于数据比较庞大，需要Nlog(N)的算法

Example

需要测试数据的同学可以留言

import java.io.BufferedReader;
import java.io.InputStreamReader;public class Main {public static void main(String[] args) {new Main().run();}BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));private int readInt() {int r;try {int t;while (true) {t = reader.read();if (t == -1) return -1;if (Character.isDigit(t)) {r = t - '0';while (true) {t = reader.read();if (!Character.isDigit(t)) {break;}r = r * 10 + (t - '0');}break;}}} catch (Exception e) {return -1;}return r;}int n;int[] p = new int[100000];private int binarySearch(int toIndex, int key) {int low = 0;int high = toIndex - 1;while (low <= high) {int mid = (low + high) >>> 1;int midVal = p[mid];if (midVal < key)low = mid + 1;else if (midVal > key)high = mid - 1;elsereturn mid; // key found}return -(low + 1);  // key not found.}private void run() {while ((n = readInt()) > 0) {for (int i = 0; i < n; i++) {p[i] = readInt();}int tail = 1;for (int i = 1; i < n; i++) {if (p[i] > p[tail - 1]) {p[tail++] = p[i];} else {int where = binarySearch(tail, p[i]);if (where < 0) {p[-(where + 1)] = p[i];}}}System.out.println(tail);}}
}

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SEERC 2008 Problem A Stock Exchange

题目大意

解决方案

Example

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