UVA 562 CD (DP+DFS)

/*   W          w           w        mm          mm             222222222       7777777777777    */
/*    W        w w         w        m  m        m  m          222        22              7777    */
/*    w        w w         w        m  m        m  m                     22              777     */
/*     w      w   w       w        m    m      m    m                    22              77      */
/*     w      w    w      w        m    m      m    m                 222                77      */
/*      w    w      w    w        m      m    m      m              222                  77      */
/*      w    w      w    w        m      m    m      m            222                    77      */
/*       w  w        w  w        m        m  m        m         222                      77      */
/*       w  w        w  w        m        m  m        m      222                         77      */
/*        ww          ww        m          mm          m     222222222222222             77      */

//#pragma comment(linker, "/STACK:102400000,102400000")

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
using namespace std;
int V,n,sum,m,flag;
int w[25],dp[25][10005],vis[25];
void dfs(int x,int cur)
{
  //printf("x=%d cur=%d\n",x,cur);
  if(!flag)return;
  if(x==n+1&&cur!=sum)return;
  if(cur==sum)
  {
    for(int i=1;i<=n;i++)
    {
      if(vis[i])printf("%d ",w[i]);
    }
    flag=0;
    return;
  }
  vis[x]=1;
  dfs(x+1,cur+w[x]);
  vis[x]=0;
  dfs(x+1,cur);
}
int main()
{
  #ifdef ONLINE_JUDGE
  #else
    freopen("test.in","r",stdin);
  #endif
  while(~scanf("%d",&V))
  {
    scanf("%d",&n);
    for(int i=1;i<=n;i++)
    {
      scanf("%d",&w[i]);
    }
    memset(dp,0,sizeof(dp));
    for(int i=1;i<=n;i++)
    {
      for(int j=0;j<=V;j++)
      {
        if(j<w[i])
        {
          dp[i+1][j]=dp[i][j];
        }
        else
        {
          dp[i+1][j]=max(dp[i][j],dp[i][j-w[i]]+w[i]);
        }
      }
    }
    memset(vis,0,sizeof(vis));
    sum=dp[n+1][V];
    flag=1;
    dfs(1,0);
    printf("sum:%d\n",sum);
  }
}