#include #include #include using namespace std; using namespace atcoder; using mint = modint998244353; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf32 1000000001 #define Inf64 1000000000000000001 struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; combi C(100000); int main(){ int H,W; cin>>H>>W; queue> Q; rep(i,H){ int a,b; cin>>a>>b; vector t(W+1); { mint v = 1; rep(j,W){ v *= W + b - j; v /= j+1; } t[0] += v; rep(j,W){ v /= W+j+1; v *= b-j; t[j+1] += v; } } if(a!=0){ a--; mint v = 1; rep(j,W){ v *= W + a - j; v /= j+1; } t[0] -= v; rep(j,W){ v /= W+j+1; v *= a-j; t[j+1] -= v; } } /*rep(j,W+1){ cout<1){ auto a = Q.front(); Q.pop(); auto b = Q.front(); Q.pop(); a = convolution(a,b); while(a.size()>W+1)a.pop_back(); Q.push(a); } mint ans = Q.front()[W]; ans *= C.kaijou[W]; cout<