設 $p_k(x)$表示具有限制 $k$

#include<algorithm>
#include<iostream>
#include<cstring>
#include<climits>
#include<cstdio>
#include<random>
using namespace std;
//--Container
//--
#define clr(a) memset(a,0,sizeof(a))
typedef long long ll;
const ll md=1e9+7;
ll qs[100010];
void _init(){
    int i,j,k,a,b;for(qs[0]=1,i=1;i<=100000;++i){
        for(j=k=1;;++j,k*=-1){
            a=(3*(ll)j*j+j)>>1,b=(3*(ll)j*j-j)>>1;
            if(i<b)break;qs[i]=(qs[i]+md+qs[i-b]*k)%md;
            if(i<a)break;qs[i]=(qs[i]+md+qs[i-a]*k)%md;
        }
    }
};
ll _cl(int n,int dk){
    ll rs=qs[n];int i,j,k;ll a,b;for(j=1,k=-1;;++j,k*=-1){
        a=(3*(ll)j*j+j)>>1,b=(3*(ll)j*j-j)>>1;a*=dk,b*=dk;
        if(n<b)break;rs=(rs+md+qs[n-b]*k)%md;
        if(n<a)break;rs=(rs+md+qs[n-a]*k)%md;
    }
    return rs;
};
void cl(){
    int n,k;scanf("%d %d",&n,&k);printf("%lld\n",_cl(n,k));
};

int main(){
#ifndef ONLINE_JUDGE
    freopen("in.txt","r",stdin);
    freopen("out.txt","w",stdout);
#endif // ONLINE_JUDGE
    int t;scanf("%d",&t);for(_init();t--;cl());
    return 0;
};