#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define each(e, v) for(auto &e: v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; #define pq(type, name) priority_queue name #define iq(type, name) priority_queue, greater> name const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; const double pi = acos(-1.0); const double EPS = 1e-10; template bool chmax(T &x, const T &y){ if(x < y) {x = y; return true;} return false; } template bool chmin(T &x, const T &y){ if(x > y) {x = y; return true;} return false; } void in() {} template void in(Head &&head, Tail &&...tail){ cin >> head; in(forward(tail)...); } void out() {cout << '\n';} template void out(Head &&head, Tail &&...tail){ cout << head << ' '; out(forward(tail)...); } void outn() {} template void outn(Head &&head, Tail &&...tail){ cout << head << '\n'; outn(forward(tail)...); } template void in(pair &p){ cin >> p.first >> p.second; } template void out(pair p){ cout << p.first << ' ' << p.second << '\n'; } using vi = vector; using vll = vector; #define vec1(type, name, ...) vector name(__VA_ARGS__) #define VEC1(type, ...) vector(__VA_ARGS__) #define vec2(type, name, a, ...) vector> name(a, VEC1(type, __VA_ARGS__)) #define VEC2(type, a, ...) vector>(a, VEC1(type, __VA_ARGS__)) #define vec3(type, name, a, b, ...) vector>> name(a, VEC2(type, b, __VA_ARGS__)) #define VEC3(type, a, b, ...) vector>>(a, VEC2(type, b, __VA_ARGS__)) #define vec4(type, name, a, b, c, ...) vector>>> name(a, VEC3(type, b, c, __VA_ARGS__)) #define VEC4(type, a, b, c, ...) vector>>>(a, VEC3(type, b, c, __VA_ARGS__)) #define vec5(type, name, a, b, c, d, ...) vector>>>> name(a, VEC4(type, b, c, d, __VA_ARGS__)) #define VEC5(type, a, b, c, d, ...) vector>>>>(a, VEC4(type, b, c, d, __VA_ARGS__)) template void vin(vector &a){ rep(i, sz(a)) cin >> a[i]; } template void vout(const vector &a){ for(auto &e: a) cout << e << ' '; cout << '\n'; } template void voutn(const vector &a){ for(auto &e: a) cout << e << '\n'; } template void unique(vector &a){ sort(all(a)), a.erase(unique(all(a)), a.end()); } vector iota(int n){ vector ret(n); iota(all(ret), 0); return ret; } template vector iota(const vector &a, bool greater = false){ vector ret = iota(sz(a)); sort(all(ret), [&](int i, int j){ return (a[i] < a[j])^greater; }); return ret; } struct io_setup{ io_setup(){ ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; #define VEC(type, name, n) vector name(n); vin(name) #define INT(...) int __VA_ARGS__; in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; in(__VA_ARGS__) #define CHAR(...) char __VA_ARGS__; in(__VA_ARGS__) #define STR(...) string __VA_ARGS__; in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__; in(__VA_ARGS__) //const int MOD = 1000000007; const int MOD = 998244353; template struct Mod_Int{ ll x; Mod_Int() : x(0) {} Mod_Int(ll y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} Mod_Int &operator += (const Mod_Int &p){ x = (x + p.x) % mod; return *this; } Mod_Int &operator -= (const Mod_Int &p){ x = (x + mod - p.x) % mod; return *this; } Mod_Int &operator *= (const Mod_Int &p){ x = (x * p.x) % mod; return *this; } Mod_Int &operator /= (const Mod_Int &p){ *this *= p.inverse(); return *this; } Mod_Int &operator ++ () {return *this += Mod_Int(1);} Mod_Int operator ++ (int){ Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator -- () {return *this -= Mod_Int(1);} Mod_Int operator -- (int){ Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator - () const {return Mod_Int(-x);} Mod_Int operator + (const Mod_Int &p) const {return Mod_Int(*this) += p;} Mod_Int operator - (const Mod_Int &p) const {return Mod_Int(*this) -= p;} Mod_Int operator * (const Mod_Int &p) const {return Mod_Int(*this) *= p;} Mod_Int operator / (const Mod_Int &p) const {return Mod_Int(*this) /= p;} bool operator == (const Mod_Int &p) const {return x == p.x;} bool operator != (const Mod_Int &p) const {return x != p.x;} Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod-2); } Mod_Int pow(ll k) const{ Mod_Int now = *this, ret = 1; while(k){ if(k&1) ret *= now; now *= now, k >>= 1; } return ret; } friend ostream &operator << (ostream &os, const Mod_Int &p){ return os << p.x; } friend istream &operator >> (istream &is, Mod_Int &p){ ll a; is >> a; p = Mod_Int(a); return is; } }; using mint = Mod_Int; template struct Binary_Indexed_Tree{ vector bit; const int n; Binary_Indexed_Tree(const vector &v) : n(sz(v)){ bit.resize(n+1); copy(all(v), bit.begin()+1); for(int a = 2; a <= n; a <<= 1){ for(int b = a; b <= n; b += a){ bit[b] += bit[b-a/2]; } } } void add(int i, const T &x){ for(i++; i <= n; i += (i & -i)) bit[i] += x; } void change(int i, const T&x){ add(i, x-query(i, i+1)); } T sum(int i) const{ T ret = 0; for(; i > 0; i -= (i & -i)) ret += bit[i]; return ret; } T query(int l, int r) const{ return sum(r) - sum(l); } int lower_bound(T x) const{ int ret = 0; for(int k = 31-__builtin_clz(n); k >= 0; k--){ if(ret+(1<> bit; rep(i, 2500){ bit.eb(vector(N, 0)); } bit[M].add(0, 1); rep2(i, 2, N-1){ rep3(k, 2499, M){ int pre = id[a[i]+k]; if(pre <= i-2 && a[pre] == a[i]+k){ dp[i-1][k] += sum[pre][k]; } dp[i-1][k] += bit[k].query(pre, i-1); bit[k].add(i-1, dp[i-1][k]); } rep(j, 2499) sum[i-1][j+1] = sum[i-1][j]+dp[i-1][j]; } mint ans = 0; rep(i, N){ rep(j, 2500){ ans += dp[i][j]*j; } } out(ans*2); }