UVA.10130 SuperSale (DP 01背包) 题意分析 现在有一家人去超市购物.每个人都有所能携带的重量上限.超市中的每个商品有其相应的价值和重量,并且有规定,每人每种商品最多购买一个.求这一家人所能购买到的最大价值是多少. 每个人的所能携带的最大重量即为背包容量.此题只是换成n个人而已.所以分别以每个人最大携带重量为背包容量,对所有商品做01背包,求出每个人的最大价值.这些最大价值之和即为这家人购物的最大价值. 核心状态转移方程: dp[i][j] = max(dp[i][j],…

CD You have a long drive by car ahead. You have a tape recorder, but unfortunately your best music is on CDs. You need to have it on tapes so the problem to solve is: you have a tape N minutes long. How to choose tracks from CD to get most out of tap…

题目: In Frobnia, a far-away country, the verdicts in court trials are determined by a jury consisting of members of the general public. Every time a trial is set to begin, a jury has to be selected, which is done as follows. First, several people are…

一道经典的Dp..01背包 定义dp[i] 为需要构造的数字为i 的所有方法数 一开始的时候是这么想的 for(i = 1; i <= N; ++i){ for(j = 1; j <= V; ++j){ if(i - a[j] > 0){ dp[i] += dp[i - a[j]]; } } } 状态存在冗余, 输出的时候答案肯定不对 但只需要改一下两个for循环的顺序即可. Source Code: /* ID: wushuai2 PROG: money LANG: C++ */ //…

HDOJ(HDU).3466 Dividing coins ( DP 01背包 无后效性的理解) 题意分析 要先排序,在做01背包,否则不满足无后效性,为什么呢? 等我理解了再补上. 代码总览 #include <iostream> #include <cstdio> #include <cstring> #include <algorithm> #define nmax 505 #define nn 505*100 using namespace std;…

POJ.3624 Charm Bracelet(DP 01背包) 题意分析 裸01背包 代码总览 #include <iostream> #include <cstdio> #include <cstring> #include <algorithm> #define nmax 13000 #define nnmax 3500 using namespace std; int dp[nmax]; int w[nnmax],d[nnmax]; int main…

HDOJ(HDU).2546 饭卡(DP 01背包) 题意分析 首先要对钱数小于5的时候特别处理,直接输出0.若钱数大于5,所有菜按价格排序,背包容量为钱数-5,对除去价格最贵的所有菜做01背包.因为这时候还剩下5块钱,直接买最贵的那个菜,就可以保证剩下来的钱数是最小的. 代码总览 #include <iostream> #include <cstdio> #include <cstring> #include <algorithm> #define nma…

HDOJ(HDU).2602 Bone Collector (DP 01背包) 题意分析 01背包的裸题 #include <iostream> #include <cstdio> #include <cstring> #include <algorithm> #define nmax 1005 using namespace std; int v[nmax],w[nmax],dp[nmax]; int main() { //freopen("in…

Dividing coins It's commonly known that the Dutch have invented copper-wire. Two Dutch men were fighting over a nickel, which was made of copper. They were both so eager to get it and the fighting was so fierce, they stretched the coin to great lengt…

01背包的变形. 先算出硬币面值的总和,然后此题变成求背包容量为V=sum/2时,能装的最多的硬币,然后将剩余的面值和它相减取一个绝对值就是最小的差值. 代码: #include <iostream> #include <cstdio> #include <cstring> #include <cmath> #include <algorithm> using namespace std; #define N 50007 ],dp[N]; int…