#pragma GCC target("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include // #include // #include // #include // using namespace __gnu_pbds; // #include // namespace multiprecisioninteger = boost::multiprecision; // using cint=multiprecisioninteger::cpp_int; using namespace std; using ll=long long; #define double long double using datas=pair; using ddatas=pair; using tdata=pair; using vec=vector; using mat=vector; using pvec=vector; using pmat=vector; // using llset=tree,rb_tree_tag,tree_order_statistics_node_update>; #define For(i,a,b) for(i=a;i<(ll)b;++i) #define bFor(i,b,a) for(i=b,--i;i>=(ll)a;--i) #define rep(i,N) For(i,0,N) #define rep1(i,N) For(i,1,N) #define brep(i,N) bFor(i,N,0) #define brep1(i,N) bFor(i,N,1) #define all(v) (v).begin(),(v).end() #define allr(v) (v).rbegin(),(v).rend() #define vsort(v) sort(all(v)) #define vrsort(v) sort(allr(v)) #define uniq(v) (v).erase(unique(all(v)),(v).end()) #define endl "\n" #define eb emplace_back #define print(x) cout< ostream& operator<<(ostream& os,const pair& p){return os<<"("< ostream& operator<<(ostream& os,const vector& v){ os<<"{";ll i; rep(i,v.size()){ if(i)os<<","; os< inline bool chmax(T& a,T b){bool x=a inline bool chmin(T& a,T b){bool x=a>b;if(x)a=b;return x;} #ifdef DEBUG void debugg(){cerr<void debugg(const T& x,const Args&... args){cerr<<" "<0){ if(n&1)res=res*a%m; a=a*a%m; n>>=1; } return res; } ll gcd(ll a,ll b){if(!b)return abs(a);return (a%b==0)?abs(b):gcd(b,a%b);} ll lcm(ll a,ll b){return a/gcd(a,b)*b;} ll countdigits(ll n){ ll ans=0; while(n){n/=10;ans++;} return ans; } ll sumdigits(ll n){ ll ans=0; while(n){ans+=n%10;n/=10;} return ans; } template struct segtree{ private: int N=1; T E; using func=function; func f,g; vector tree; public: segtree(vector& v,T e,func Merge,func Act):E(e),f(Merge),g(Act){ int i,K=v.size(); while(N& v,T e,func Merge){*this=segtree(v,e,Merge,Merge);}; segtree(int N,T e,func F){ vector res(N,e); *this=segtree(res,e,F); } void action(int i,T a){ if((i<0)|(i>=N))return; i+=N; tree[i]=g(tree[i],a); while(i>1){ i>>=1; tree[i]=f(tree[i<<1],tree[(i<<1)|1]); } } void input(int i,T a){ if((i<0)|(i>=N))return; tree[i+=N]=a; while(i>1){ i>>=1; tree[i]=f(tree[i<<1],tree[(i<<1)|1]); } } T queli(int a,int b){ if((a>=b)|(a<0)|(b<=0)|(a>=N)|(b>N))return E; T l(E),r(E); for(a+=N,b+=N;a>=1,b>>=1){ if(a&1)l=f(l,tree[a++]); if(b&1)r=f(tree[--b],r); } return f(l,r); } }; template struct LazySegmentTree{ private: using func=function; func f,g; size_t N=1; T E; vector node,lazy; vector vis; void eval(size_t& x){ if(!vis[x])return; node[x]=g(node[x],lazy[x]); vis[x]=false; if(x>1); update(a,b,x,now<<1|1,(l+r)>>1,r); node[now]=f(node[now<<1],node[now<<1|1]); } } T call(size_t& a,size_t &b,size_t now,size_t l,size_t r){ eval(now); if((b<=l)|(r<=a))return E; if((a<=l)&(r<=b))return node[now]; return f(call(a,b,now<<1,l,(l+r)>>1),call(a,b,now<<1|1,(l+r)>>1,r)); } public: LazySegmentTree(vector& v,func F,func G,T Ie):f(F),g(G),E(Ie){ size_t i=v.size(); while(i){ N<<=1;i>>=1; } node.resize(N<<1,E); lazy.resize(N<<1); vis.resize(N<<1,false); for(i=0;i>N; vec a(N); rep(i,N){ cin>>a[i]; if(i)chmax(j,a[i]-a[i-1]); } reverse(all(a)); vec count(2500,0); For(A,j,2500){ vec dp(N,0),sum(N,0); dp[1]=1;sum[1]=1; j=0; For(i,2,N){ while(a[j]-a[i]>A)++j; dp[i]=(sum[i-1]+mod-sum[j])%mod; sum[i]=(sum[i-1]+dp[i])%mod; } count[A]=sum[N-1]; if(A<7)debug(A,count[A]); } brep1(i,2500)(count[i]+=mod-count[i-1])%=mod; rep(i,2500)ans+=count[i]*i*2%mod; print(ans%mod); }