Sum It Up
来源:互联网 发布:淘宝5金冠店铺是那个 编辑:程序博客网 时间:2024/05/16 23:41
算法:搜索
Given a specified total t and a list of n integers, find all distinct sums using numbers from the list that add up to t. For example, if t=4, n=6, and the list is [4,3,2,2,1,1], then there are four different sums that equal 4: 4,3+1,2+2, and 2+1+1.(A number can be used within a sum as many times as it appears in the list, and a single number counts as a sum.) Your job is to solve this problem in general.
输入
The input will contain one or more test cases, one per line. Each test case contains t, the total, followed by n, the number of integers in the list, followed by n integers x1,...,xn. If n=0 it signals the end of the input; otherwise, t will be a positive integer less than 1000, n will be an integer between 1 and 12(inclusive), and x1,...,xn will be positive integers less than 100. All numbers will be separated by exactly one space. The numbers in each list appear in nonincreasing order, and there may be repetitions.
输出
For each test case, first output a line containing 'Sums of', the total, and a colon. Then output each sum, one per line; if there are no sums, output the line 'NONE'. The numbers within each sum must appear in nonincreasing order. A number may be repeated in the sum as many times as it was repeated in the original list. The sums themselves must be sorted in decreasing order based on the numbers appearing in the sum. In other words, the sums must be sorted by their first number; sums with the same first number must be sorted by their second number; sums with the same first two numbers must be sorted by their third number; and so on. Within each test case, all sums must be distince; the same sum connot appear twice.
样例输入
4 6 4 3 2 2 1 1
5 3 2 1 1
400 12 50 50 50 50 50 50 25 25 25 25 25 25
0 0
样例输出
Sums of 4:
4
3+1
2+2
2+1+1
Sums of 5:
NONE
Sums of 400:
50+50+50+50+50+50+25+25+25+25
50+50+50+50+50+25+25+25+25+25+25
来源
浙江工业大学第四届大学生程序设计竞赛
代码:
#include <iostream> #include <algorithm> #include <iomanip> #include <string> #include <stdio.h> #include <queue> #include <cstring> using namespace std; int a[15],b[15],n,sum,k,c[15],flag,step; void dfs(int x) { if(sum==k) { cout<<b[0]; for(int ii=1;ii<step;ii++) cout<<"+"<<b[ii]; cout<<endl; flag=1; return ;}if(sum>k) return;for(int i=x;i<n;i++){if(!c[i]){ c[i]=1;b[step++]=a[i];sum+=a[i];dfs(i);c[i]=0;sum-=a[i];step--;while(i+1<n&&a[i]==a[i+1]) i++;//因为i-1已经搜过了,所以不用搜了; }} } int main() { int i,j; while(cin>>k>>n&&n&&k) { for(i=0;i<n;i++) cin>>a[i]; flag=0;cout<<"Sums of "<<k<<":"<<endl; for(j=0;j<n;j++) { while(a[j]==a[j-1]&&j-1>=0)j++;//因为j-1已经搜过了,所以不用搜了; memset(c,0,sizeof(c)); c[j]=1; sum=a[j]; b[0]=a[j]; step=1; dfs(j);}if(flag==0) cout<<"NONE"<<endl; }return 0; }
- JOJ1197: Sum It Up
- Sum It Up
- Sum It Up
- Poj Sum It Up
- Sum It Up
- HDU1258 Sum It Up
- HDU1258:Sum It Up
- Sum It Up
- poj sum it up
- poj sum it up
- Sum It Up
- Sum It Up
- poj1564 Sum it up
- Sum It Up
- Sum it up
- zoj1711-Sum It Up
- Sum It Up hdu1258
- Sum It Up
- 两个JSP页面跳转传参数
- 二叉查找树以及相关的几个树
- FancyBox的ajax利用json形成gallery
- ActiveMQ 即时通讯服务 浅析
- ButterKnife的简单使用
- Sum It Up
- 选择Session还是Cookie
- NVARCHAR 和VARCHAR区别和使用
- java concurrent
- UILabel补充
- 应聘时给HR最漂亮的回答
- Logistic回归(实例)
- CentOS6.5 yum安装配置nginx 以及相关配置
- 第三周上机实践项目 项目1--个人所得税计算器