#include<iostream> #include<atcoder/modint> #include<atcoder/lazysegtree> using namespace std; using mint=atcoder::modint998244353; using dat=pair<mint,mint>;//(val, len) dat op(dat a,dat b){return make_pair(a.first+b.first,a.second+b.second);} dat e(){return make_pair(mint::raw(0),mint::raw(0));} using F=pair<mint,mint>;//(mul, add) dat mp(F f,dat x){return make_pair(x.first*f.first+x.second*f.second,x.second);} F cmp(F f,F g){return make_pair(g.first*f.first,g.second*f.first+f.second);} F id(){return make_pair(mint::raw(1),mint::raw(0));} int N,M; int A[2<<17],sign[2<<17]; long S[2<<17]; main() { cin>>N>>M; for(int i=0;i<N;i++) { cin>>A[i]; sign[i]=(N-i)%2==1?-1:1; S[i+1]=S[i]+A[i]*sign[i]; } if(S[N]%M!=0) { cout<<-1<<endl; return 0; } atcoder::lazy_segtree<dat,op,e,F,mp,cmp,id>seg(vector<dat>(M,make_pair(mint::raw(0),mint::raw(1)))); seg.set(0,make_pair(mint::raw(1),mint::raw(1))); int off=0; mint ans=1; for(int i=N-1;i>=0;i--) { if(sign[i]==1) { //0<=a<A[i], seg[S[i]+a-off] //S[i]-off<=*<S[i]+A[i]-off int L=((S[i]-off)%M+M)%M; int R=((S[i]+A[i]-off)%M+M)%M; if(L<=R)ans+=seg.prod(L,R).first; else ans+=seg.prod(L,M).first+seg.prod(0,R).first; } else { //0<=a<A[i], seg[S[i]-a-off] //S[i]-A[i]-off<*<=S[i]-off //S[i]-A[i]-off+1<=*<S[i]-off+1 int L=((S[i]-A[i]-off+1)%M+M)%M; int R=((S[i]-off+1)%M+M)%M; if(L<=R)ans+=seg.prod(L,R).first; else ans+=seg.prod(L,M).first+seg.prod(0,R).first; } mint s=seg.all_prod().first; seg.apply(0,M,make_pair(mint(-1),s)); if(sign[i]==-1)off=(off-1+M)%M; else off=(off+1)%M; } cout<<ans.val()<<endl; }