#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 998244353; constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; template struct MInt { unsigned val; MInt(): val(0) {} MInt(long long x) : val(x >= 0 ? x % MOD : x % MOD + MOD) {} static int get_mod() { return MOD; } static void set_mod(int divisor) { assert(divisor == MOD); } MInt pow(long long exponent) const { MInt tmp = *this, res = 1; while (exponent > 0) { if (exponent & 1) res *= tmp; tmp *= tmp; exponent >>= 1; } return res; } MInt &operator+=(const MInt &x) { if((val += x.val) >= MOD) val -= MOD; return *this; } MInt &operator-=(const MInt &x) { if((val += MOD - x.val) >= MOD) val -= MOD; return *this; } MInt &operator*=(const MInt &x) { val = static_cast(val) * x.val % MOD; return *this; } MInt &operator/=(const MInt &x) { // assert(std::__gcd(static_cast(x.val), MOD) == 1); unsigned a = x.val, b = MOD; int u = 1, v = 0; while (b) { unsigned tmp = a / b; std::swap(a -= tmp * b, b); std::swap(u -= tmp * v, v); } return *this *= u; } bool operator==(const MInt &x) const { return val == x.val; } bool operator!=(const MInt &x) const { return val != x.val; } bool operator<(const MInt &x) const { return val < x.val; } bool operator<=(const MInt &x) const { return val <= x.val; } bool operator>(const MInt &x) const { return val > x.val; } bool operator>=(const MInt &x) const { return val >= x.val; } MInt &operator++() { if (++val == MOD) val = 0; return *this; } MInt operator++(int) { MInt res = *this; ++*this; return res; } MInt &operator--() { val = (val == 0 ? MOD : val) - 1; return *this; } MInt operator--(int) { MInt res = *this; --*this; return res; } MInt operator+() const { return *this; } MInt operator-() const { return MInt(val ? MOD - val : 0); } MInt operator+(const MInt &x) const { return MInt(*this) += x; } MInt operator-(const MInt &x) const { return MInt(*this) -= x; } MInt operator*(const MInt &x) const { return MInt(*this) *= x; } MInt operator/(const MInt &x) const { return MInt(*this) /= x; } friend std::ostream &operator<<(std::ostream &os, const MInt &x) { return os << x.val; } friend std::istream &operator>>(std::istream &is, MInt &x) { long long val; is >> val; x = MInt(val); return is; } }; namespace std { template MInt abs(const MInt &x) { return x; } } template struct Combinatorics { using ModInt = MInt; int val; // "val!" and "mod" must be disjoint. std::vector fact, fact_inv, inv; Combinatorics(int val = 10000000) : val(val), fact(val + 1), fact_inv(val + 1), inv(val + 1) { fact[0] = 1; for (int i = 1; i <= val; ++i) fact[i] = fact[i - 1] * i; fact_inv[val] = ModInt(1) / fact[val]; for (int i = val; i > 0; --i) fact_inv[i - 1] = fact_inv[i] * i; for (int i = 1; i <= val; ++i) inv[i] = fact[i - 1] * fact_inv[i]; } ModInt nCk(int n, int k) const { if (n < 0 || n < k || k < 0) return 0; assert(n <= val && k <= val); return fact[n] * fact_inv[k] * fact_inv[n - k]; } ModInt nPk(int n, int k) const { if (n < 0 || n < k || k < 0) return 0; assert(n <= val); return fact[n] * fact_inv[n - k]; } ModInt nHk(int n, int k) const { if (n < 0 || k < 0) return 0; return k == 0 ? 1 : nCk(n + k - 1, k); } }; using ModInt = MInt; template struct SegmentTree { using Monoid = typename T::Monoid; SegmentTree(int n) : SegmentTree(std::vector(n, T::unity())) {} SegmentTree(const std::vector &a) : n(a.size()) { while (p2 < n) p2 <<= 1; dat.assign(p2 << 1, T::unity()); for (int i = 0; i < n; ++i) dat[i + p2] = a[i]; for (int i = p2 - 1; i > 0; --i) dat[i] = T::merge(dat[i << 1], dat[(i << 1) + 1]); } void set(int idx, Monoid val) { idx += p2; dat[idx] = val; while (idx >>= 1) dat[idx] = T::merge(dat[idx << 1], dat[(idx << 1) + 1]); } Monoid get(int left, int right) const { Monoid l_res = T::unity(), r_res = T::unity(); for (left += p2, right += p2; left < right; left >>= 1, right >>= 1) { if (left & 1) l_res = T::merge(l_res, dat[left++]); if (right & 1) r_res = T::merge(dat[--right], r_res); } return T::merge(l_res, r_res); } Monoid operator[](const int idx) const { return dat[idx + p2]; } template int find_right(int left, G g) { if (left >= n) return n; Monoid val = T::unity(); left += p2; do { while (!(left & 1)) left >>= 1; Monoid nx = T::merge(val, dat[left]); if (!g(nx)) { while (left < p2) { left <<= 1; nx = T::merge(val, dat[left]); if (g(nx)) { val = nx; ++left; } } return left - p2; } val = nx; ++left; } while (__builtin_popcount(left) > 1); return n; } template int find_left(int right, G g) { if (right <= 0) return -1; Monoid val = T::unity(); right += p2; do { --right; while (right > 1 && !(right & 1)) right >>= 1; Monoid nx = T::merge(dat[right], val); if (!g(nx)) { while (right < p2) { right = (right << 1) + 1; nx = T::merge(dat[right], val); if (g(nx)) { val = nx; --right; } } return right - p2; } val = nx; } while (__builtin_popcount(right) > 1); return -1; } private: int n, p2 = 1; std::vector dat; }; namespace monoid { template struct RangeMinimumQuery { using Monoid = T; static constexpr T unity() { return std::numeric_limits::max(); } static T merge(const T &a, const T &b) { return std::min(a, b); } }; template struct RangeMaximumQuery { using Monoid = T; static constexpr T unity() { return std::numeric_limits::min(); } static T merge(const T &a, const T &b) { return std::max(a, b); } }; template struct RangeSumQuery { using Monoid = T; static constexpr T unity() { return 0; } static T merge(const T &a, const T &b) { return a + b; } }; } // monoid int main() { constexpr int X = 2500; int n; cin >> n; vector a(n); REP(i, n) cin >> a[i]; vector l(n, 1); vector>> col(X, n), row(n, X); col[a[n - 1] - a[n - 2]].set(n - 1, 1); row[n - 1].set(a[n - 1] - a[n - 2], 1); for (int i = n - 3; i >= 0; --i) { vector dp(X, 0); vector r(X, n); int pos = 1; FOR(j, i + 2, n) { for (; pos < a[j] - a[i]; ++pos) r[pos] = j; dp[pos] += row[j].get(1, pos); } FOR(j, 1, X) dp[j] += col[j].get(i + 2, r[j]); FOR(j, 1, X) { if (dp[j] > 0) col[j].set(i + 1, dp[j]); } FOR(j, 1, X) { if (dp[j] > 0) row[i + 1].set(j, dp[j]); } // (i, i + 1) int diff = a[i + 1] - a[i]; FOR(j, i + 2, n) { ModInt sum = 0; for (; l[j] < diff; ++l[j]) { ModInt val = row[j][l[j]]; sum += val; if (val > 0) { row[j].set(l[j], 0); col[l[j]].set(j, 0); } } row[j].set(l[j], row[j][l[j]] + sum); col[l[j]].set(j, col[l[j]][j] + sum); } } ModInt ans = 0; FOR(i, 1, n) FOR(j, l[i], X) ans += row[i][j] * j; cout << ans * 2 << '\n'; return 0; }