The Balance

Time Limit: 1000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)

Problem Description

Now you are asked to measure a dose of medicine with a balance and a number of weights. Certainly it is not always achievable. So you should find out the qualities which cannot be measured from the range [1,S]. S is the total quality of all the weights.

 

Input

The input consists of multiple test cases, and each case begins with a single positive integer N (1<=N<=100) on a line by itself indicating the number of weights you have. Followed by N integers Ai (1<=i<=N), indicating the quality of each weight where 1<=Ai<=100.

 

Output

For each input set, you should first print a line specifying the number of qualities which cannot be measured. Then print another line which consists all the irrealizable qualities if the number is not zero.

 

Sample Input

3 1 2 4 3 9 2 1

 

Sample Output

0 2 4 5

 

Source

 

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1 #include 
     
       2 #include 
      
        3  4 std::bitset<100005> S; 5  6 signed main(void) 7 { 8     int n, m; 9     10     while (scanf("%d", &n) != EOF)11     {12         S.reset(), S.set(50000);13         14         int ans = 0, sum = 0;15         16         while (n--)17             scanf("%d", &m), sum += m,18             S = (S << m) | (S >> m) | S;19             20         S >>= 50000;21         22         for (int i = 1; i <= sum; ++i)23             if (!S[i])++ans;24         25         printf("%d\n", ans);26         27         if (ans)28         {29             bool flag = false;30             31             for (int i = 1; i <= sum; ++i)32                 if (!S[i])33                 {34                     if (flag)35                         printf(" %d", i);36                     else37                         printf("%d", i), flag = true;38                 }39             40             puts("");41         }42     }43 }
      
     

 

@Author: YouSiki