玲珑学院 1050 - array

Posted 2020-09-29 十年换你一句好久不见

1050 - array

Time Limit：3s Memory Limit：64MByte

Submissions：494Solved：155

DESCRIPTION

2 array is an array, which looks like:
$$\mathrm{1,2,4,8,16,32,64......}$$

Give you a number array, and your mission is to get the number of subsequences ,which is 2 array, of it.
Note: 2 array is a finite array.

OUTPUT

one line - the number of subsequence which is 2 array.(the answer will $\mathrm{\% 109+7}$

)

SAMPLE INPUT

2

4

1 2 1 2

4

1 2 4 4

SAMPLE OUTPUT

5

4

求可以组成的比值为2，首项为1的等比数列的个数，首先，不是1并且是奇数的舍弃，普通偶数舍弃，非连续的舍弃

动态规划

#include <iostream>
#include <algorithm>
#include <cstring>
#include <cstdio>
#include <vector>
#include <queue>
#include <cmath>
#include <ctime>
#include <map>
#include <set>
using namespace std;
#define lowbit(x) (x&(-x))
#define max(x,y) (x>y?x:y)
#define min(x,y) (x<y?x:y)
#define MAX 100000000000000000
#define MOD 1000000007
#define pi acos(-1.0)
#define ei exp(1)
#define PI 3.141592653589793238462
#define INF 0x3f3f3f3f3f
#define mem(a) (memset(a,0,sizeof(a)))
typedef long long ll;
int dp[40],t,n,x,ans,pos;
int main()
{
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d",&n);
        memset(dp,0,sizeof(dp));
        for(int i=1;i<=n;i++)
        {
            scanf("%d",&x);
            if(x==1) dp[0]++;
            else
            {
                pos=0;
                while(!(x%2))
                {
                    x>>=1;
                    pos++;
                }
                if(x==1 && dp[pos-1]) dp[pos]=(dp[pos]+dp[pos-1])%MOD;
            }
        }
        ans=0;
        for(int i=0;i<32;i++)
            ans=(ans+dp[i])%MOD;
        printf("%d\\n",ans);
    }
    return 0;
}