#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;} //------------------------------------------------------- const ll mo=998244353; ll comb(ll N_, ll C_) { const int NUM_=400001; 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; } int H,W,K; ll from[505],to[505]; void solve() { int i,j,k,l,r,x,y; string s; cin>>H>>W>>K; H--,W--; K/=2; ll ret=0; if(K<=500) { from[0]=1; for(x=0;x<=min(H,W);x++) { ll other=comb(H+W,H-x)*comb(W+x,W-x)%mo; (ret+=other*from[0])%=mo; FOR(i,K+1) to[i]=(from[abs(i-1)]+from[abs(i+1)])%mo; FOR(i,K+1) from[i]=(to[abs(i-1)]+to[abs(i+1)])%mo; } } else { for(x=0;x<=min(H,W);x++) { ll other=comb(H+W,H-x)*comb(W+x,W-x)%mo; ll R=comb(2*x,x); for(i=1;i*(K+1)<=x;i++) { if(i%2) R+=mo-comb(2*x,x-i*(K+1)); else R+=comb(2*x,x-i*(K+1)); } (ret+=R%mo*other)%=mo; } } cout<