Sum of Consecutive Prime Numbers(poj2739)

Sum of Consecutive Prime Numbers

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 22019		Accepted: 12051

Description

Some positive integers can be represented by a sum of one or more consecutive prime numbers. How many such representations does a given positive integer have? For example, the integer 53 has two representations 5 + 7 + 11 + 13 + 17 and 53. The integer 41 has three representations 2+3+5+7+11+13, 11+13+17, and 41. The integer 3 has only one representation, which is 3. The integer 20 has no such representations. Note that summands must be consecutive prime 
numbers, so neither 7 + 13 nor 3 + 5 + 5 + 7 is a valid representation for the integer 20. 
Your mission is to write a program that reports the number of representations for the given positive integer.

Input

The input is a sequence of positive integers each in a separate line. The integers are between 2 and 10 000, inclusive. The end of the input is indicated by a zero.

Output

The output should be composed of lines each corresponding to an input line except the last zero. An output line includes the number of representations for the input integer as the sum of one or more consecutive prime numbers. No other characters should be inserted in the output.

Sample Input

2 3 17 41 20 666 12 53 0

Sample Output

1 1 2 3 0 0 1 2

 思路：先筛选0到10000的素数，尺取跑一遍。

 1  import java.util.*;
 2  import java.lang.*;
 3  import java.io.*;
 4 
 5  public  class Main {
 6      public  static  void main( final String[] args) {
 7         Scanner in =  new Scanner(System.in);
 8          int n, i, j, k, p, q;
 9          int aa[] =  new  int[20000];
10          int bb[] =  new  int[20000];
11         Arrays.fill(aa, 0);
12         aa[1] = 1;
13         aa[0] = 1;
14          int cnt = 0;
15          for (i = 2; i <= 100; i++) {
16              if (aa[i] == 0) {
17                  for (j = i; i * j <= 10000; j++) {
18                     aa[i * j] = 1;
19                 }
20             }
21 
22         }
23          for (i = 0; i <= 10000; i++) {
24              if (aa[i] == 0) {
25                 bb[cnt++] = i;
26             }
27         }
28          int ss = 1;
29          while (ss == 1) {
30             k = in.nextInt();
31              int ans = 0;
32              if (k == 0) {
33                  break;
34             }  else {
35                  int sum = 0;
36                  int ll = 0;
37                  int rr = 0;
38                  while (ss == 1) {
39                      if (rr > cnt) {
40                          break;
41                     }
42                      if (bb[rr] > k) {
43                          break;
44                     }
45                      if (ll > rr) {
46                          break;
47                     }
48                      while (ss == 1) {
49                         sum += bb[rr];
50                          if (sum >= k) {
51                              break;
52                         }  else {
53                             rr++;
54                         }
55                          if(rr>cnt)
56                         { break;}
57                     }
58                      if (sum == k) {
59                         ans++;
60                     }
61                     sum -= bb[ll];
62                     sum -= bb[rr];
63                     ll++;
64                 }
65             }
66             System.out.println(ans);
67         } return ;
68     }
69 }