hdu1160,FatMouse's Speed

FatMouse's Speed

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 9199    Accepted Submission(s): 4076
Special Judge

Problem Description

FatMouse believes that the fatter a mouse is, the faster it runs. To disprove this, you want to take the data on a collection of mice and put as large a subset of this data as possible into a sequence so that the weights are increasing, but the speeds are decreasing.

 

Input

Input contains data for a bunch of mice, one mouse per line, terminated by end of file.

The data for a particular mouse will consist of a pair of integers: the first representing its size in grams and the second representing its speed in centimeters per second. Both integers are between 1 and 10000. The data in each test case will contain information for at most 1000 mice.

Two mice may have the same weight, the same speed, or even the same weight and speed.

 

Output

Your program should output a sequence of lines of data; the first line should contain a number n; the remaining n lines should each contain a single positive integer (each one representing a mouse). If these n integers are m[1], m[2],..., m[n] then it must be the case that

W[m[1]] < W[m[2]] < ... < W[m[n]]

and

S[m[1]] > S[m[2]] > ... > S[m[n]]

In order for the answer to be correct, n should be as large as possible.
All inequalities are strict: weights must be strictly increasing, and speeds must be strictly decreasing. There may be many correct outputs for a given input, your program only needs to find one.

 

Sample Input

6008 13006000 2100500 20001000 40001100 30006000 20008000 14006000 12002000 1900

 

Sample Output

44597

 

Source

Zhejiang University Training Contest 2001

 

Recommend

Ignatius

 

import java.util.Arrays;import java.util.Comparator;import java.util.Scanner;public class HDU1160_ieayoio {public static F[] f;public static Mouse[] a;public static void main(String[] args) {Scanner cin = new Scanner(System.in);a = new Mouse[1010];int k = 0;while (cin.hasNext()) {// for (int i=1;i<=9;i++){k++;//老鼠数a[k] = new Mouse(cin.nextInt(), cin.nextInt(), k);}//先将老鼠按重量从小到大排序，只要对排序后的老鼠对其速度用动态规划找到最长下降子序列就好了Arrays.sort(a, 1, k + 1, new cmp());a[0] = new Mouse(0, Integer.MAX_VALUE, 0);f = new F[k + 5];for (int i = 0; i < f.length; i++) {f[i] = new F(0, 0);}for (int i = 1; i <= k; i++)for (int j = 0; j <= i - 1; j++) {//a[i].size != a[j].size保证重量不等//若速度满足下降if (a[i].size != a[j].size && a[i].speed < a[j].speed) {if (f[j].max + 1 > f[i].max) {f[i].max = f[j].max + 1;//找到比f[i]更优的f[i].last = j;//记录上一个的编号}}}int maxi = 0, max = Integer.MIN_VALUE;for (int i = 1; i <= k; i++) {if (max < f[i].max) {max = f[i].max;//找到最长下降的位置maxi = i;//并记录编号}}System.out.println(f[maxi].max);ptf(maxi);//寻找并输出方案}static void ptf(int k) {if (k == 0)return;ptf(f[k].last);//递归找起始的老鼠System.out.println(a[k].index);//输出当前老鼠原本的标号 }}class cmp implements Comparator<Mouse> {@Overridepublic int compare(Mouse o1, Mouse o2) {if (o1.size != o2.size) {return o1.size - o2.size;} else {return o2.speed - o1.speed;}}}class F {int max;//前i个老鼠的速度最长下降老鼠数int last;//上一个老鼠的编号F(int max, int last) {this.max = max;this.last = last;}}class Mouse {int size;//老鼠的重量int speed;//老鼠的速度int index;//老鼠原本的标号Mouse(int size, int speed, int index) {this.size = size;this.speed = speed;this.index = index;}}

题目大意：

输入每行两个数，表示老鼠的重量和速度，需要找出所有老鼠中满足体重上升，速度下降的最长序列，输出最长序列数，并依次输出老鼠的标号

先将老鼠按重量从小到大排序，只要对排序后的老鼠对其速度用动态规划找到最长下降子序列就好了