#include using namespace std; typedef signed long long ll; #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define FORR2(x,y,arr) for(auto& [x,y]:arr) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) template bool chmax(T &a, const T &b) { if(a bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;} //------------------------------------------------------- int T; int N[202020],M[202020]; vector> ev[505]; ll ret[202020]; const ll mo=998244353; ll comb(ll N_, ll C_) { const int NUM_=1430001; static ll fact[NUM_+1],factr[NUM_+1],inv[NUM_+1]; if (fact[0]==0) { inv[1]=fact[0]=factr[0]=1; for (int i=2;i<=NUM_;++i) inv[i] = inv[mo % i] * (mo - mo / i) % mo; for (int i=1;i<=NUM_;++i) fact[i]=fact[i-1]*i%mo, factr[i]=factr[i-1]*inv[i]%mo; } if(C_<0 || C_>N_) return 0; return factr[C_]*fact[N_]%mo*factr[N_-C_]%mo; } ll F(ll n,ll m) { ll ret=0; for(int i=1;i<=m;i++) ret+=comb(2*(i-1),n-1); return ret%mo; } void solve() { int i,j,k,l,r,x,y; string s; cin>>T; FOR(i,T) { cin>>N[i]>>M[i]; ev[M[i]/500].push_back({N[i],i}); } FOR(i,500) { sort(ALL(ev[i])); int CN=-1,CM=-1; ll cur=0; FORR2(n,e,ev[i]) { if(CN==-1) { CN=N[e]; CM=M[e]; cur=F(CN,CM); } else { while(CNM[e]) { CM--; (cur+=mo-comb(2*CM,CN-1))%=mo; } } ret[e]=cur; } } FOR(i,T) cout<