spoj5973

SP5973 SELTEAM - Selecting Teams

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
inline ll read()
{
    ll s=; bool f=; char ch=' ';
    while(!isdigit(ch)) {f|=(ch=='-'); ch=getchar();}
    while(isdigit(ch)) {s=(s<<)+(s<<)+(ch^); ch=getchar();}
    return (f)?(-s):(s);
}
#define R(x) x=read()
inline void write(ll x)
{
    if(x<) {putchar('-'); x=-x;}
    if(x<) {putchar(x+''); return;}
    write(x/); putchar((x%)+'');
}
#define W(x) write(x),putchar(' ')
#define Wl(x) write(x),putchar('\n')
const int N=;
const ll Mod=;
ll T,n,k;
ll C[N][];
inline void Ad(ll &x,ll y)
{
    x+=y; x-=(x>=Mod)?Mod:;
}
int main()
{
    ll i,j,ans;
    R(T);
    C[][]=;
    for(i=;i<=;i++)
    {
        C[i][]=; for(j=;j<=min(23ll,i);j++) C[i][j]=(C[i-][j]+C[i-][j-])%Mod;
    }
    while(T--)
    {
        R(n); R(k); ans=;
        for(i=;i<=min(k,23ll);i++) Ad(ans,C[n][i]*i%Mod*(1ll<<(i-))%Mod);
        Wl(ans);
    }
    return ;
}
/*
input
3
2 2
7 1
5 3
output
6
7
165
*/