• T105017 seq(DP)


    30分做法:

    直接暴力选数即可:

    #include<queue>
    #include<cstring>
    #include<iostream>
    #include<cstdio>
    #include<cmath>
    #include<algorithm>
    using namespace std;
    typedef long long ll;
    const int maxm=1007;
    const int mo=1e9+7;
    int a[maxm];
    int n,len1,len2;
    ll ans;
    bool flag[maxm];
    int tmp[maxm],tmp1[maxm];
    void dfs1(int x,int len)
    {
     if(x==len+1)
     {
         int sum;
          for(int i=1;i<=len1;i++)
          {
            if(i==1)
          sum=a[tmp[i]];
          else sum^=a[tmp[i]];    
          }
          int sum1;
          for(int i=1;i<=len;i++)
          {
            if(i==1)
            sum1=a[tmp1[i]];
            else sum1&=a[tmp1[i]];
          }
          if(sum==sum1)
          {
           ans++;
           ans%=mo;
        }
           return;
     }
     for(int i=tmp1[x-1]+1;i<=n;i++)
     {
      if(flag[i]) continue;
      flag[i]=1;
      tmp1[x]=i;
      dfs1(x+1,len);
      flag[i]=0;    
     }
    }
    void dfs(int x,int len)
    {
      if(x==len+1)
      { 
        tmp1[0]=tmp[x-1];
          len1=len;
          for(int i=1;i<=n-tmp[x-1]+1;i++)
          {
            dfs1(1,i);
          }
          return;
      }
      for(int i=tmp[x-1]+1;i<=n;i++)
      {
        if(flag[i]) continue;
        flag[i]=1;
        tmp[x]=i;
        dfs(x+1,len);
        flag[i]=0;
      }
    }
    int main()
    {
     scanf("%d",&n);
     for(int i=1;i<=n;i++)
     {
      scanf("%d",a+i);    
     }
     for(int i=1;i<=n-1;i++)//枚举S选的个数 
     {
       dfs(1,i);
     }
     printf("%lld
    ",ans);
     return 0;    
    }

    满分做法:

    #include<iostream>
    #include<cstring>
    #include<cstdio>
    #include<algorithm>
    #include<queue>
    #include<set>
    #include<vector>
    #include<cmath>
    using namespace std;
    typedef long long ll;
    
    const ll mo = 1e9 + 7;
    ll dp1[1010][2021],dp2[1010][2020],ans;
    int a[1010];
    int n;
    ll mul(ll a,ll b){
    
        ll ans = 0,base = a;
        while(b != 0){
            if(b & 1)ans = (ans + base) % mo;
            base = (base + base)% mo;
            b >>= 1;
        }
        return ans;
    }
    int main()
    {
        scanf("%d",&n);
    
        for(int i = 1;i <= n ;i ++){
            scanf("%d",&a[i]);
    
            dp2[i][a[i]] = 1;
            dp1[i][a[i]] = 1;
        }
        for(int i = 2;i <= n ;i ++){
            for(int j = 0;j <= 1025;j ++){
                dp1[i][j^a[i]] = (dp1[i][j^a[i]]%mo + dp1[i-1][j]%mo)%mo;
    
                dp1[i][j] = (dp1[i][j]%mo + dp1[i-1][j]%mo)%mo;
    
            }
        }
        for(int i = n - 1;i >= 1; i --){
            for(int j = 0;j <= 1025;j ++){
                dp2[i][j&a[i]] = (dp2[i][j&a[i]]%mo + dp2[i+1][j]%mo)%mo;
    
                dp2[i][j] = (dp2[i][j]%mo + dp2[i+1][j]%mo)%mo;
    
            }
        }
        for(int i = 1;i <= n ;i ++){
            for(int s = 0;s <= 1024;s ++){
                ans = (ans + (dp1[i][s] - dp1[i-1][s] + mo)%mo*dp2[i + 1][s]%mo)%mo;//做差值为新产生的方案,防止重复
            }
        }
        cout<<ans<<endl;
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/lihan123/p/11735198.html
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