#include using namespace std; class fastIO{private:char ibuf[50007],*p1=ibuf,*p2=ibuf,obuf[50007],*p3=obuf,sta[50];bool file_end=false;char get(){return p1==p2&&(p2=(p1=ibuf)+fread(ibuf,1,50007,stdin),p1==p2)?(file_end=true),char(EOF):*p1++;}void put(const char x){p3-obuf<50007?*p3++=x:(fwrite(obuf,p3-obuf,1,stdout),p3=obuf,*p3++=x);}public:explicit operator bool(){return!file_end;}size_t flush(){size_t f=fwrite(obuf,p3-obuf,1,stdout);p3=obuf;*p3=0;return f;}fastIO&operator>>(char&t){for(t=get();!isgraph(t);t=get());return*this;}templatetypename std::enable_if::value,any>::type tpval(){char t;for(t=get();!isgraph(t);t=get());return t;}fastIO&operator>>(char*t){char c;for(c=get();!isgraph(c);c=get());for(;isgraph(c);c=get())*t=c,t++;*t=0;return*this;}fastIO&operator>>(std::string&t){t.clear();char c;for(c=get();!isgraph(c);c=get());for(;isgraph(c);c=get())t+=c;return*this;}templatetypename std::enable_if::value,any>::type tpval(){std::string t;char c;for(c=get();!isgraph(c);c=get());for(;isgraph(c);c=get())t+=c;return t;}templatetypename std::enable_if<(std::is_signed::value&&std::is_integral::value&&!std::is_same::value)||std::is_same::value,fastIO>::type&operator>>(any&t){t=0;bool y=0;char c=get();for(;!isdigit(c);c=get())if(c==45)y=true;for(;isdigit(c);c=get())t=t*10+c-48;if(y==1)t=-t;return*this;}templatetypename std::enable_if<(std::is_signed::value&&std::is_integral::value&&!std::is_same::value)||std::is_same::value,any>::type tpval(){any t=0;bool y=0;char c=get();for(;!isdigit(c);c=get())if(c==45)y=true;for(;isdigit(c);c=get())t=t*10+c-48;if(y==1)t=-t;return t;}templatetypename std::enable_if<(std::is_unsigned::value&&std::is_integral::value&&!std::is_same::value)||std::is_same::value,fastIO>::type&operator>>(any&t){t=0;char c=get();for(;!isdigit(c);c=get());for(;isdigit(c);c=get())t=t*10+c-48;return*this;}templatetypename std::enable_if<(std::is_unsigned::value&&std::is_integral::value&&!std::is_same::value)||std::is_same::value,any>::type tpval(){any t=0;char c=get();for(;!isdigit(c);c=get());for(;isdigit(c);c=get())t=t*10+c-48;return t;}templatefastIO&operator>>(std::pair&t){return*this>>t.first>>t.second;}templatestd::pairtpval(){return std::pair(tpval(),tpval());}templatefastIO&read(any&t){return*this>>t;}fastIO&read(char*t){char c;for(c=get();!isgraph(c);c=get());for(;isgraph(c);c=get())*t=c,t++;*t=0;return*this;}templatefastIO&read(any&t1,args&...t2){return(*this>>t1).read(t2...);}fastIO&operator<<(const char t){put(t);return*this;}fastIO&operator<<(const char*t){for(;*t;t++)put(*t);return*this;}fastIO&operator<<(const std::string&t){for(const char it:t)put(it);return*this;}templatetypename std::enable_if<(std::is_signed::value&&std::is_integral::value&&!std::is_same::value)||std::is_same::value,fastIO>::type&operator<<(any t){if(!t){put(48);return*this;}int len=0;if(t<0)t=-t,put(45);while(t)sta[len++]=char(t%10+48),t/=10;while(len--)put(sta[len]);return*this;}templatetypename std::enable_if<(std::is_unsigned::value&&std::is_integral::value&&!std::is_same::value)||std::is_same::value,fastIO>::type&operator<<(any t){if(!t){put(48);return*this;}int len=0;while(t)sta[len++]=char(t%10+48),t/=10;while(len--)put(sta[len]);return*this;}templatefastIO&operator<<(const std::pair&t){return*this<fastIO&write(const any&t){return*this<fastIO&write(const any&t1,const args&...t2){return(*this<y.r; return x.belong>=1; } return ans; } long long C(int n,int m) { if(m>n,fac[0]=inv[0]=1; for(int i=1;i<=200000;i++) fac[i]=fac[i-1]*i%mod,inv[i]=qpow(fac[i],mod-2); for(int i=1;i<=n;i++) fio>>q[i].l>>q[i].r,q[i].l--,q[i].r--,q[i].id=i,q[i].belong=(q[i].l+len-1)/len; sort(q+1,q+n+1,Cmp); long long l=0,r=-1,now=0; for(int i=1;i<=n;i++) { while(l>q[i].l) now=(now+C(r,--l))*Inv%mod; while(rq[i].r) now=(now-C(r--,l)+mod)%mod; q[i].ans=now; } sort(q+1,q+n+1,cmp); for(int i=1;i<=n;i++) fio<