Description
Bessie was poking around the ant hill one day watching the ants march to and fro while gathering food. She realized that many of the ants were siblings, indistinguishable from one another. She also realized the sometimes only one ant would go for food, sometimes a few, and sometimes all of them. This made for a large number of different sets of ants!

Being a bit mathematical, Bessie started wondering. Bessie noted that the hive has T (1 <= T <= 1,000) families of ants which she labeled 1..T (A ants altogether). Each family had some number Ni (1 <= Ni <= 100) of ants.

How many groups of sizes S, S+1, …, B (1 <= S <= B <= A) can be formed?

While observing one group, the set of three ant families was seen as {1, 1, 2, 2, 3}, though rarely in that order. The possible sets of marching ants were:

3 sets with 1 ant: {1} {2} {3}
5 sets with 2 ants: {1,1} {1,2} {1,3} {2,2} {2,3}
5 sets with 3 ants: {1,1,2} {1,1,3} {1,2,2} {1,2,3} {2,2,3}
3 sets with 4 ants: {1,2,2,3} {1,1,2,2} {1,1,2,3}
1 set with 5 ants: {1,1,2,2,3}

Your job is to count the number of possible sets of ants given the data above.
Input
* Line 1: 4 space-separated integers: T, A, S, and B

• Lines 2..A+1: Each line contains a single integer that is an ant type present in the hive
  Output
• Line 1: The number of sets of size S..B (inclusive) that can be created. A set like {1,2} is the same as the set {2,1} and should not be double-counted. Print only the LAST SIX DIGITS of this number, with no leading zeroes or spaces.
  Sample Input
  3 5 2 3
  1
  2
  2
  1
  3
  Sample Output
  10
  Hint
  INPUT DETAILS:

Three types of ants (1..3); 5 ants altogether. How many sets of size 2 or size 3 can be made?

OUTPUT DETAILS:

5 sets of ants with two members; 5 more sets of ants with three members

思路：
dp[i][j]表示在前i個family中選出j個螞蟻的種數；
然後揹包；

#include <cstdio>
#include <cstring>
#include <iostream>
using namespace std;
const int mod=1000000;
int fam[1009],dp[2][100009];//滾動陣列
int main()
{
    int t,a,s,b;
    cin>>t>>a>>s>>b;
    for(int i=1;i<=a;i++)
    {
        int te;
        scanf("%d",&te);
        fam[te]++;
    }
    dp[0][0]=1;//集合為空的時候有一種情況
    int total=0;
    int cur=0,pre=1;//表示滾動陣列
    long long ans=0；
    for(int i=1;i<=t;i++)
    {    
        cur^=1,pre^=1;
        total+=fam[i];//前i個family的總螞蟻數
        memset(dp[cur],0,sizeof dp[cur]);//記住要清零
        for(int j=0;j<=fam[i];j++)//往前i-1個family組成的集合中加入加入第i個幾何元素
        {
            for(int k=total;k>=j;k--)//揹包包
            {
                dp[cur][k]=(dp[cur][k]+dp[pre][k-j])%mod;
            }
        }
    }
    for(int i=s;i<=b;i++)
    ans=(ans+dp[cur][i])%mod;
    printf("%lld\n",ans);

    return 0;
}