POJ-1887 Testing the CATCHER(dp,最长下降子序列)
2016-01-03 19:54
423 查看
Testing the CATCHER
Time Limit: 1000MS Memory Limit: 30000K
Total Submissions: 16515 Accepted: 6082
Description
A military contractor for the Department of Defense has just completed a series of preliminary tests for a new defensive missile called the CATCHER which is capable of intercepting multiple incoming offensive missiles. The CATCHER is supposed to be a remarkable defensive missile. It can move forward, laterally, and downward at very fast speeds, and it can intercept an offensive missile without being damaged. But it does have one major flaw. Although it can be fired to reach any initial elevation, it has no power to move higher than the last missile that it has intercepted.
The tests which the contractor completed were computer simulations of battlefield and hostile attack conditions. Since they were only preliminary, the simulations tested only the CATCHER’s vertical movement capability. In each simulation, the CATCHER was fired at a sequence of offensive missiles which were incoming at fixed time intervals. The only information available to the CATCHER for each incoming missile was its height at the point it could be intercepted and where it appeared in the sequence of missiles. Each incoming missile for a test run is represented in the sequence only once.
The result of each test is reported as the sequence of incoming missiles and the total number of those missiles that are intercepted by the CATCHER in that test.
The General Accounting Office wants to be sure that the simulation test results submitted by the military contractor are attainable, given the constraints of the CATCHER. You must write a program that takes input data representing the pattern of incoming missiles for several different tests and outputs the maximum numbers of missiles that the CATCHER can intercept for those tests. For any incoming missile in a test, the CATCHER is able to intercept it if and only if it satisfies one of these two conditions:
The incoming missile is the first missile to be intercepted in this test.
-or-
The missile was fired after the last missile that was intercepted and it is not higher than the last missile which was intercepted.
Input
The input data for any test consists of a sequence of one or more non-negative integers, all of which are less than or equal to 32,767, representing the heights of the incoming missiles (the test pattern). The last number in each sequence is -1, which signifies the end of data for that particular test and is not considered to represent a missile height. The end of data for the entire input is the number -1 as the first value in a test; it is not considered to be a separate test.
Output
Output for each test consists of a test number (Test #1, Test #2, etc.) and the maximum number of incoming missiles that the CATCHER could possibly intercept for the test. That maximum number appears after an identifying message. There must be at least one blank line between output for successive data sets.
Note: The number of missiles for any given test is not limited. If your solution is based on an inefficient algorithm, it may not execute in the allotted time.
Sample Input
389
207
155
300
299
170
158
65
-1
23
34
21
-1
-1
Sample Output
Test #1:
maximum possible interceptions: 6
Test #2:
maximum possible interceptions: 2
裸的最长下降子序列问题
Time Limit: 1000MS Memory Limit: 30000K
Total Submissions: 16515 Accepted: 6082
Description
A military contractor for the Department of Defense has just completed a series of preliminary tests for a new defensive missile called the CATCHER which is capable of intercepting multiple incoming offensive missiles. The CATCHER is supposed to be a remarkable defensive missile. It can move forward, laterally, and downward at very fast speeds, and it can intercept an offensive missile without being damaged. But it does have one major flaw. Although it can be fired to reach any initial elevation, it has no power to move higher than the last missile that it has intercepted.
The tests which the contractor completed were computer simulations of battlefield and hostile attack conditions. Since they were only preliminary, the simulations tested only the CATCHER’s vertical movement capability. In each simulation, the CATCHER was fired at a sequence of offensive missiles which were incoming at fixed time intervals. The only information available to the CATCHER for each incoming missile was its height at the point it could be intercepted and where it appeared in the sequence of missiles. Each incoming missile for a test run is represented in the sequence only once.
The result of each test is reported as the sequence of incoming missiles and the total number of those missiles that are intercepted by the CATCHER in that test.
The General Accounting Office wants to be sure that the simulation test results submitted by the military contractor are attainable, given the constraints of the CATCHER. You must write a program that takes input data representing the pattern of incoming missiles for several different tests and outputs the maximum numbers of missiles that the CATCHER can intercept for those tests. For any incoming missile in a test, the CATCHER is able to intercept it if and only if it satisfies one of these two conditions:
The incoming missile is the first missile to be intercepted in this test.
-or-
The missile was fired after the last missile that was intercepted and it is not higher than the last missile which was intercepted.
Input
The input data for any test consists of a sequence of one or more non-negative integers, all of which are less than or equal to 32,767, representing the heights of the incoming missiles (the test pattern). The last number in each sequence is -1, which signifies the end of data for that particular test and is not considered to represent a missile height. The end of data for the entire input is the number -1 as the first value in a test; it is not considered to be a separate test.
Output
Output for each test consists of a test number (Test #1, Test #2, etc.) and the maximum number of incoming missiles that the CATCHER could possibly intercept for the test. That maximum number appears after an identifying message. There must be at least one blank line between output for successive data sets.
Note: The number of missiles for any given test is not limited. If your solution is based on an inefficient algorithm, it may not execute in the allotted time.
Sample Input
389
207
155
300
299
170
158
65
-1
23
34
21
-1
-1
Sample Output
Test #1:
maximum possible interceptions: 6
Test #2:
maximum possible interceptions: 2
裸的最长下降子序列问题
#include <iostream> #include <string.h> #include <algorithm> #include <math.h> #include <stdlib.h> #include <stdio.h> using namespace std; int dp[5000]; int a[5000]; int main() { int tot=1; int x; int max; int cas=0; while(scanf("%d",&x)!=EOF) { if(x==-1) break; cas++; if(cas!=1) printf("\n"); a[0]=x; scanf("%d",&x); tot=1; while(x!=-1) { a[tot++]=x; scanf("%d",&x); } memset(dp,0,sizeof(dp)); a[tot]=-1; for(int i=0;i<=tot;i++) { max=0; for(int j=i-1;j>=0;j--) { if(a[j]>a[i]) { if(max<dp[j]) max=dp[j]; } } dp[i]=max+1; } printf("Test #%d:\n",cas); printf(" maximum possible interceptions: %d\n",dp[tot]-1); } }
相关文章推荐
- 【开源项目13】Volley框架 以及 设置request超时时间
- 【Python千问 1】Python核心编程(第二版)导读
- 【Android 界面效果44】Android之圆头像实例
- 【HTML5 4】《HTML5与CSS3权威指南》 step1 导读
- 【HTML5 3】《html5 开发精要与实例讲解》 step2 -- 结构元素 (待续)
- 【HTML5 2】《html5 开发精要与实例讲解》 step1 -- 导读
- 【HTML5 1】39个让你受益的HTML5教程
- 【Linux/Ubuntu学习 14】Linux下查看文件和文件夹大小
- 【Linux/Ubuntu学习 13】ubuntu上好用的pdf软件okular
- 【Android Studio使用教程 7】AndroidStudio问题汇总
- 【Linux/Ubuntu学习 12】ubuntu下对/etc/profile误修改导致系统不能登录
- 【LeetCode 1】算法修炼 --- Two Sum
- 【Android Studio使用教程6】Execution failed for task &#39;:&#215;&#215;&#215;:compileReleaseAidl&#39;
- 【Android Studio使用教程5】使用SDK Manager时, SDK下载更新不了的解决方案(eclipse 也适用)
- vmware中正在决定 eth0 的 IP 信息...失败;无链接。检查电缆吗?问题的解决方法
- POJ-1887 Testing the CATCHER(dp,最长下降子序列)
- 在不同版本号hdfs集群之间转移数据
- 【Mood-18】github 使用指南
- 【Mood-17】 github中在本地进行上传的时候出现ERROR: Repository not found. fatal: The remote end hung up unexpectedly
- 【Mood 16 】史上最全github使用方法:github入门到精通