#include // clang-format off using namespace std;constexpr int INF=1001001001;constexpr long long INFll=1001001001001001001;namespace viewer{using s=string;templates f(T i){s S=i==INF||i==INFll?"inf":to_string(i);return s(max(0,3-int(S.size())),' ')+S;} templateauto v(T&x,s&&e)->decltype(cerr<void v(const pair&p,s&&e="\n"){cerr<<"(";v(p.first,", ");v(p.second,")"+e);}templatevoid v(const tuple&t,s&&e="\n"){cerr<<"(";v(get<0>(t),", ");v(get<1>(t),")"+e);}templatevoid v(const tuple&t,s&&e="\n"){cerr<<"(";v(get<0>(t),", ");v(get<1>(t),", ");v(get<2>(t),")"+e);}templatevoid v(const tuple&t,s&&e="\n"){cerr<<"(";v(get<0>(t),", ");v(get<1>(t),", ");v(get<2>(t),", ");v(get<3>(t),")"+e);} templatevoid v(const vector&vx,s);templateauto ve(int,const vector&vx)->decltype(cerr<auto ve(bool,const vector&vx){cerr<<"{\n";for(const T&x:vx)cerr<<" ",v(x,",");cerr<<"}\n";}templatevoid v(const vector&vx,s){ve(0,vx);} templatevoid v(const deque&q,s&&e){v(vector(q.begin(),q.end()),e);}templatevoid v(const set&S,s&&e){v(vector(S.begin(),S.end()),e);}templatevoid v(const multiset&S,s&&e){v(vector(S.begin(),S.end()),e);}templatevoid v(const unordered_set&S,s&&e){v(vector(S.begin(),S.end()),e);} templatevoid v(const priority_queue&p,s&&e){priority_queueq=p;vectorz;while(!q.empty()){z.push_back(q.top());q.pop();}v(z,e);}templatevoid v(const map&m,s&&e){cerr<<"{"<<(m.empty()?"":"\n");for(const auto&kv:m){cerr<<" [";v(kv.first,"");cerr<<"] : ";v(kv.second,"");cerr<<"\n";}cerr<<"}"+e;} templatevoid _view(int n,s&S,T&var){cerr<<"\033[1;32m"<void grid([[maybe_unused]]T _){}void grid(const vector>&vvb){cerr<<"\n";for(const vector&vb:vvb){for(const bool&b:vb)cerr<<(b?".":"#");cerr<<"\n";}} void _debug(int,s){}templatevoid _debug(int n,s S,const H&h,const T&... t){int i=0,cnt=0;for(;iap;mint re=a;for(long long r=1;r= X && !test(N - X, X, canX2, false)) { return true; } if (!test(N - 1, X, canX2, true)) { return true; } return false; } int main() { cin.tie(0); ios::sync_with_stdio(false); // 2X+1周期 // X->2 5 11010 // X->4 7 1011010 // X->6 9 101011010 // X->8 11 10101011010 // 10*(X/2-1)+1+1010 // for (int n = 0; n < 100; n++) { // debug(make_pair(n, test(n, 8, true, true))); // } int T; cin >> T; while (T--) { long long N, X; cin >> N >> X; if (X % 2 == 1) { cout << mint((N + 1) / 2) << endl; } else { mint ans = (X / 2 + 2) * (N / (X + 3)); if (N % (X + 3) <= X - 2) { ans += (N % (X + 3) + 1) / 2; } else { ans += (X - 1) / 2; long long rem = N % (X + 3) - (X - 2); if (rem) { rem--; ans++; } ans += (rem + 1) / 2; } cout << ans << endl; } } return 0; }