Nowadays, a kind of chess game called “Super Jumping! Jumping! Jumping!” is very popular in HDU. Maybe you are a good boy, and know little about this game, so I introduce it to you now. The game can be played by two or more than two players. It consi…

来源:点击打开链接 最长上升子序列的考察,是一个简单的DP问题.我们每一次求出从第一个数到当前这个数的最长上升子序列,直至遍历到最后一个数字为止,然后再取dp数组里最大的那个即为整个序列的最长上升子序列.我们用dp[i]来存放序列1-i的最长上升子序列的长度,那么dp[i]=max(1,dp[j])+1,(j∈[1, i-1]); 显然dp[1]=1,我们从i=2开始遍历后面的元素即可. 这个没有优化,效率是O(N^2),可以通过二分进行进一步的优化. #include <iostream>…

HDU 1087 题目大意:给定一个序列,只能走比当前位置大的位置,不可回头,求能得到的和的最大值.(其实就是求最大上升(可不连续)子序列和) 解题思路:可以定义状态dp[i]表示以a[i]为结尾的上升子序列的和的最大值,那么便可以得到状态转移方程 dp[i] = max(dp[i], dp[j]+a[i]), 其中a[j]<a[i]且j<i; 另外每个dp[i]可以先初始化为a[i] 理解:以a[i]为结尾的上升子序列可以由前面比a[i]小的某个序列加上a[i]来取得,故此有dp[j]+a[…

Super Jumping! Jumping! Jumping! Time Limit:1000MS     Memory Limit:32768KB     64bit IO Format:%I64d & %I64u Submit Status Practice HDU 1087 Appoint description:  System Crawler  (2017-04-13) Description Nowadays, a kind of chess game called “Super…

传送门:HDU_1087 题意:现在要玩一个跳棋类游戏,有棋盘和棋子.从棋子st开始,跳到棋子en结束.跳动棋子的规则是下一个落脚的棋子的号码必须要大于当前棋子的号码.st的号是所有棋子中最小的,en的号是所有棋子中最大的.最终所得分数是所有经过的棋子的号码的和. 思路:读完题之后知道这是一个最长上升子序列的题目.因为之前刚刚看过牛客网上一节讲解最长上升子序列的视屏,所以一上来就找准了方向,but我只知道怎么求最长上升子序列的长度啊,和怎么求???于是自己想方法开始求和,然后就wa掉了一个上午.…

题意:在一组数中选取一个上升子序列,使得这个子序列的和最大. 解:和最长上升子序列dp过程相似,设dp[i]为以第i位为结尾最大和,那么dp[i]等于max(dp[0],dp[1],,,,,dp[i-1])+a[i],显然这个过程可以用某些数据结构优化,比如线段树,树状数组等.由于普通写法也能过题,并且比较简单,所以这里只给出O(n2)写法. #include <algorithm> #include <iostream> #include <cstring> #inc…

Super Jumping! Jumping! Jumping! Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 59516    Accepted Submission(s): 27708   Problem Description Nowadays, a kind of chess game called “Super Jumping…

DP基础题 DP[i]表示以a[i]结尾所能得到的最大值 但是a[n-1]不一定是整个序列能得到的最大值 #include <bits/stdc++.h> using namespace std; ; int dp[maxn],n,a[maxn]; int main() { while(scanf("%d",&n)&&n) { memset(dp,,sizeof(dp)); ;i<n;i++) scanf("%d",&…

题目链接 DP基础题 求的是上升子序列的最大和 而不是最长上升子序列LIS DP[i]表示以a[i]结尾所能得到的最大值 但是a[n-1]不一定是整个序列能得到的最大值 #include <bits/stdc++.h> using namespace std; ; int dp[maxn],n,a[maxn]; int main() { while(scanf("%d",&n)&&n) { memset(dp,,sizeof(dp)); ;i<…

题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=1087 Super Jumping! Jumping! Jumping! Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 47055    Accepted Submission(s): 21755 Problem Description N…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1087 Super Jumping! Jumping! Jumping! Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 24452    Accepted Submission(s): 10786 Problem Description No…

题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=5489 题目大意: 一个N(N<=100000)个数的序列,要从中去掉相邻的L个数(去掉整个区间),使得剩余的数最长上升子序列(LIS)最长. 题目思路: [二分][最长上升子序列] 首先,假设去掉[i,i+m-1]这L个数,剩余的LIS长度为max(i左端最后一个不大于a[i+m]的LIS长度+a[i+m]开始到最后的LIS长度). 所以,我们从n到1逆向先求最长下降子序列的长度f[i],就可以知…

题目链接: http://acm.hdu.edu.cn/showproblem.php?pid=5773 题目大意: T组数据,n个数(n<=100000),求最长上升子序列长度(0可以替代任何自然数) 题目思路: [动态规划][二分][最长上升子序列] 按最长上升子序列做,遇到0的时候更新所有长度的最优解.(这种暴力解法都能过?而且还比标解快?) // //by coolxxx // #include<iostream> #include<algorithm> #inclu…

最长递增子序列,Longest Increasing Subsequence 下面我们简记为 LIS.排序+LCS算法 以及 DP算法就忽略了,这两个太容易理解了. 假设存在一个序列d[1..9] = 2 1 5 3 6 4 8 9 7,可以看出来它的LIS长度为5.下面一步一步试着找出它.我们定义一个序列B,然后令 i = 1 to 9 逐个考察这个序列.此外,我们用一个变量Len来记录现在最长算到多少了 首先,把d[1]有序地放到B里,令B[1] = 2,就是说当只有1一个数字2的时候,长度…

题意: 给定n个数的序列, 找出最长上升子序列和. 分析: #include<cstdio> #include<iostream> #include<queue> #include<cstring> #include<string> #include<map> #include<vector> #include<algorithm> #include<cmath> #define rep(i,a,b…

Common Subsequence POJ-1458 //最长公共子序列问题 #include<iostream> #include<algorithm> #include<cstdio> #include<cstring> #include<string> using namespace std; string a,b; int dp[1003][1003]; int main(){ while(cin>>a>>b){…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1087 ---------------------------------------------------------------------------------------------------------------------------------------------------------- 欢迎光临天资小屋:http://user.qzone.qq.com/593830943…

以下引用自:http://www.cnblogs.com/Lyush/archive/2011/08/31/2161314.html沐阳 该题可以算是一道经典的DP题了,题中数据是这样的.以 3 1 3 2 为例,首先 3 代表有三个数, 后面给出三个数,求该串的一个子串,使得其值一直是递增的,而且要求输出最大的和值.可以论证,该子串一定会是最长上升子串,因为,如果一个串还能够插入一个元素的话,那么这个串就一定不是最大的和了.而这个最长的上升子串还满足是所有同样长度的子串中最优的,和值最大. 具…

Super Jumping! Jumping! Jumping! Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 32564    Accepted Submission(s): 14692 Problem Description Nowadays, a kind of chess game called “Super Jumping!…

Super Jumping! Jumping! Jumping! Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 36986    Accepted Submission(s): 16885 Problem Description Nowadays, a kind of chess game called “Super Jumping!…

Super Jumping! Jumping! Jumping! Problem Description Nowadays, a kind of chess game called “Super Jumping! Jumping! Jumping!” is very popular in HDU. Maybe you are a good boy, and know little about this game, so I introduce it to you now. The game ca…

Problem Description Nowadays, a kind of chess game called “Super Jumping! Jumping! Jumping!” is very popular in HDU. Maybe you are a good boy, and know little about this game, so I introduce it to you now.The game can be played by two or more than tw…

Super Jumping! Jumping! Jumping! Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 34052    Accepted Submission(s): 15437 Problem Description Nowadays, a kind of chess game called “Super Jumping!…

Problem Description Nowadays, a kind of chess game called "Super Jumping! Jumping! Jumping!" is very popular in HDU. Maybe you are a good boy, and know little about this game, so I introduce it to you now. The game can be played by two or more t…

解题思路:题目的大意是给出一列数,求这列数里面最长递增数列的和 dp[i]表示到达地点i的最大值,那么是如何达到i的呢,则我们可以考虑没有限制条件时候的跳跃,即可以从第1,2,3,---,i-1个地点跳跃到i, 而题目限定了,跳到的那个点的数要比开始跳的那个点的数大 所以,状态转移方程式为 for(i=1;i<=n;i++)   for(j=0;j<i;j++) if(a[j]>a[i])   dp[i]=max(dp[j]+a[i],dp[i]);//找出到达地点i的最大值 反思:本来…

Description Nowadays, a kind of chess game called "Super Jumping! Jumping! Jumping!" is very popular in HDU. Maybe you are a good boy, and know little about this game, so I introduce it to you now. The game can be played by two or more than two…

递归式: 实例图解: 代码: #include<stdio.h> #include<string.h> ; int dp[N][N],f[N][N]; char a[N],b[N],c[N]; void LCS(char *a,char *b,int la,int lb) { int i,j; memset(dp,,sizeof(dp)); ;i<=la;i++) { ;j<=lb;j++) { ]==b[j-]) { dp[i][j]=dp[i-][j-]+; f[i…

C - Super Jumping! Jumping! Jumping! Time Limit:1000MS     Memory Limit:32768KB     64bit IO Format:%I64d & %I64u Description Nowadays, a kind of chess game called “Super Jumping! Jumping! Jumping!” is very popular in HDU. Maybe you are a good boy, a…

Super Jumping! Jumping! Jumping! Problem Description Nowadays, a kind of chess game called “Super Jumping! Jumping! Jumping!” is very popular in HDU. Maybe you are a good boy, and know little about this game, so I introduce it to you now. The game ca…

Super Jumping! Jumping! Jumping!Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 47017    Accepted Submission(s): 21736 Problem DescriptionNowadays, a kind of chess game called “Super Jumping! Ju…