hdu 1258 Sum It Up

Sum It Up

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 5575    Accepted Submission(s): 2911

Problem Description

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.

 

Input

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.

 

Output

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.

 

Sample Input

4 6 4 3 2 2 1 15 3 2 1 1400 12 50 50 50 50 50 50 25 25 25 25 25 250 0

 

Sample Output

Sums of 4:43+12+22+1+1Sums of 5:NONESums of 400:50+50+50+50+50+50+25+25+25+2550+50+50+50+50+25+25+25+25+25+25

 

Source

浙江工业大学第四届大学生程序设计竞赛

 

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#include<stdio.h>#include<string.h>#include<algorithm>using namespace std;int m,a[10100],flag,j;int res[10100]={10000};int vis[10100];void dfs(int t,int cnt){int i;    if(t==0)    {    flag=1;    for(j=1;j<cnt-1;j++)    printf("%d+",res[j]);    printf("%d\n",res[j]);    return ;}for(i=1;i<=m;i++){if(!vis[i]&&t-a[i]>=0&&a[i]<=res[cnt-1]){vis[i]=1;//对用过的数进行标记 res[cnt]=a[i];//dfs是先确定第一个数，再确定第二个，一直往后 dfs(t-a[i],cnt+1);vis[i]=0;while(a[i]==a[i+1]&&i<=m)//如果给的数字重复，跳到下一个 ++i;}}}int main(){int i,t;while(scanf("%d%d",&t,&m),t+m){for(i=1;i<=m;i++)scanf("%d",&a[i]);//真不知道自己写代码时在想什么，竟然忘写&，这就是教训啊！！！ flag=0;printf("Sums of %d:\n",t);memset(vis,0,sizeof(vis));dfs(t,1);if(!flag)printf("NONE\n");}}