A Bit Fun

                                                  Time Limit: 5000/2500 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)

Problem Description

There are n numbers in a array, as a₀, a₁ ... , a_n-1, and another number m. We define a function f(i, j) = a_i|a_i+1|a_i+2| ... | a_j . Where "|" is the bit-OR operation. (i <= j)

The problem is really simple: please count the number of different pairs of (i, j) where f(i, j) < m.

Input

The first line has a number T (T <= 50) , indicating the number of test cases.

For each test case, first line contains two numbers n and m.(1 <= n <= 100000, 1 <= m <= 2³⁰) Then n numbers come in the second line which is the array a, where 1 <= a_i <= 2³⁰.

Output

For every case, you should output "Case #t: " at first, without quotes. The t is the case number starting from 1.

Then follows the answer.

Sample Input

2
3 6
1 3 5
2 4
5 4

Sample Output

Case #1: 4
Case #2: 0

用个数组记录下各位出现的次数，就可以实现在一段区间或的值中减去一个元素。

代码：

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <queue>
#include <vector>
#include <string>
#include <map>
#include <cstdlib>
#include <ctime>
using namespace std;
const int maxn=100000+1000;
int a[maxn];
int h[100];
int n,m;
void add(int x)
{
    int cur=0;
    while(x)
    {
        h[cur++]+=(x%2);
        x=x/2;
    }
}
void del(int x)
{
    int cur=0;
    while(x)
    {
        h[cur++]-=(x%2);
        x=x/2;
    }
}
int re()
{
    int ans=0;
    for(int i=0; i<35; i++)
    {
        if(h[i]>0)
            ans+=(1<<i);
    }
    return ans;
}
int main()
{
    int t,ca=1;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d%d",&n,&m);
        memset(h,0,sizeof(h));
        for(int i=0; i<n; i++)
            scanf("%d",&a[i]);
        int temp=0;
        long long ans=0;
        int cur=0;
        for(int i=0; i<n; i++)
        {
            cur=max(i,cur);
            while((temp|a[cur])<m&&cur<n)
            {
                temp=(temp|a[cur]);
                add(a[cur]);
                cur++;
            }
            if(cur>i)
            {
                ans+=(cur-i);
                del(a[i]);
                temp=re();
            }
        }
        printf("Case #%d: ",ca++);
        cout<<ans<<endl;
    }
    return 0;
}