#line 1 "main.cpp" /** * @title Template */ #include #include #include #include #include #include #include #line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/chmin_chmax.cpp" template constexpr bool chmin(T &lhs, const U &rhs) { if (lhs > rhs) { lhs = rhs; return true; } return false; } template constexpr bool chmax(T &lhs, const U &rhs) { if (lhs < rhs) { lhs = rhs; return true; } return false; } /** * @title Chmin/Chmax */ #line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp" #line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp" class range { struct iter { std::size_t itr; constexpr iter(std::size_t pos) noexcept: itr(pos) { } constexpr void operator ++ () noexcept { ++itr; } constexpr bool operator != (iter other) const noexcept { return itr != other.itr; } constexpr std::size_t operator * () const noexcept { return itr; } }; struct reviter { std::size_t itr; constexpr reviter(std::size_t pos) noexcept: itr(pos) { } constexpr void operator ++ () noexcept { --itr; } constexpr bool operator != (reviter other) const noexcept { return itr != other.itr; } constexpr std::size_t operator * () const noexcept { return itr; } }; const iter first, last; public: constexpr range(std::size_t first, std::size_t last) noexcept: first(first), last(std::max(first, last)) { } constexpr iter begin() const noexcept { return first; } constexpr iter end() const noexcept { return last; } constexpr reviter rbegin() const noexcept { return reviter(*last - 1); } constexpr reviter rend() const noexcept { return reviter(*first - 1); } }; /** * @title Range */ #line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/container/segment_tree.cpp" #line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/monoid.cpp" #include #line 5 "/Users/kodamankod/Desktop/cpp_programming/Library/other/monoid.cpp" #include template class has_identity: public std::false_type { }; template class has_identity::type>: public std::true_type { }; template constexpr typename std::enable_if::value, typename T::type>::type empty_exception() { return T::identity(); } template [[noreturn]] typename std::enable_if::value, typename T::type>::type empty_exception() { throw std::runtime_error("type T has no identity"); } template class fixed_monoid_impl: public T { public: using type = typename T::type; static constexpr type convert(const type &value) { return value; } static constexpr type revert(const type &value) { return value; } template static constexpr void operate(Mapping &&func, Value &value, const type &op, Args&&... args) { value = func(value, op, std::forward(args)...); } template static constexpr bool satisfies(Constraint &&func, const type &value) { return func(value); } }; template class fixed_monoid_impl { public: class type { public: typename T::type value; bool state; explicit constexpr type(): value(typename T::type { }), state(false) { } explicit constexpr type(const typename T::type &value): value(value), state(true) { } }; static constexpr type convert(const typename T::type &value) { return type(value); } static constexpr typename T::type revert(const type &value) { if (!value.state) throw std::runtime_error("attempted to revert identity to non-monoid"); return value.value; } static constexpr type identity() { return type(); } static constexpr type operation(const type &v1, const type &v2) { if (!v1.state) return v2; if (!v2.state) return v1; return type(T::operation(v1.value, v2.value)); } template static constexpr void operate(Mapping &&func, Value &value, const type &op, Args&&... args) { if (!op.state) return; value = func(value, op.value, std::forward(args)...); } template static constexpr bool satisfies(Constraint &&func, const type &value) { if (!value.state) return false; return func(value.value); } }; template using fixed_monoid = fixed_monoid_impl::value>; /** * @title Monoid Utility */ #line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/bit_operation.cpp" #include #include constexpr size_t bit_ppc(const uint64_t x) { return __builtin_popcountll(x); } constexpr size_t bit_ctzr(const uint64_t x) { return x == 0 ? 64 : __builtin_ctzll(x); } constexpr size_t bit_ctzl(const uint64_t x) { return x == 0 ? 64 : __builtin_clzll(x); } constexpr size_t bit_width(const uint64_t x) { return 64 - bit_ctzl(x); } constexpr uint64_t bit_msb(const uint64_t x) { return x == 0 ? 0 : uint64_t(1) << (bit_width(x) - 1); } constexpr uint64_t bit_lsb(const uint64_t x) { return x & (-x); } constexpr uint64_t bit_cover(const uint64_t x) { return x == 0 ? 0 : bit_msb(2 * x - 1); } constexpr uint64_t bit_rev(uint64_t x) { x = ((x >> 1) & 0x5555555555555555) | ((x & 0x5555555555555555) << 1); x = ((x >> 2) & 0x3333333333333333) | ((x & 0x3333333333333333) << 2); x = ((x >> 4) & 0x0F0F0F0F0F0F0F0F) | ((x & 0x0F0F0F0F0F0F0F0F) << 4); x = ((x >> 8) & 0x00FF00FF00FF00FF) | ((x & 0x00FF00FF00FF00FF) << 8); x = ((x >> 16) & 0x0000FFFF0000FFFF) | ((x & 0x0000FFFF0000FFFF) << 16); x = (x >> 32) | (x << 32); return x; } /** * @title Bit Operations */ #line 5 "/Users/kodamankod/Desktop/cpp_programming/Library/container/segment_tree.cpp" #line 8 "/Users/kodamankod/Desktop/cpp_programming/Library/container/segment_tree.cpp" #include #line 11 "/Users/kodamankod/Desktop/cpp_programming/Library/container/segment_tree.cpp" #include #line 13 "/Users/kodamankod/Desktop/cpp_programming/Library/container/segment_tree.cpp" template class segment_tree { public: using structure = Monoid; using value_monoid = typename Monoid::value_structure; using value_type = typename Monoid::value_structure::type; using size_type = size_t; private: using fixed_value_monoid = fixed_monoid; using fixed_value_type = typename fixed_value_monoid::type; std::vector M_tree; void M_fix_change(const size_type index) { M_tree[index] = fixed_value_monoid::operation(M_tree[index << 1 | 0], M_tree[index << 1 | 1]); } public: segment_tree() = default; explicit segment_tree(const size_type size) { initialize(size); } template explicit segment_tree(InputIterator first, InputIterator last) { construct(first, last); } void initialize(const size_type size) { clear(); M_tree.assign(size << 1, fixed_value_monoid::identity()); } template void construct(InputIterator first, InputIterator last) { clear(); const size_type size = std::distance(first, last); M_tree.reserve(size << 1); M_tree.assign(size, fixed_value_monoid::identity()); std::transform(first, last, std::back_inserter(M_tree), [&](const value_type &value) { return fixed_value_monoid::convert(value); }); for (size_type index = size - 1; index != 0; --index) { M_fix_change(index); } } void assign(size_type index, const value_type &value) { assert(index < size()); index += size(); M_tree[index] = fixed_value_monoid::convert(value); while (index != 1) { index >>= 1; M_fix_change(index); } } value_type at(const size_type index) const { assert(index < size()); return fixed_value_monoid::revert(M_tree[index + size()]); } value_type fold(size_type first, size_type last) const { assert(first <= last); assert(last <= size()); first += size(); last += size(); fixed_value_type fold_l = fixed_value_monoid::identity(); fixed_value_type fold_r = fixed_value_monoid::identity(); while (first != last) { if (first & 1) { fold_l = fixed_value_monoid::operation(fold_l, M_tree[first]); ++first; } if (last & 1) { --last; fold_r = fixed_value_monoid::operation(M_tree[last], fold_r); } first >>= 1; last >>= 1; } return fixed_value_monoid::revert(fixed_value_monoid::operation(fold_l, fold_r)); } template * = nullptr> size_type satisfies(const size_type left, Constraint &&func) const { assert(left <= size()); if (fixed_value_monoid::satisfies(std::forward(func), fixed_value_monoid::identity())) return left; size_type first = left + size(); size_type last = 2 * size(); const size_type last_c = last; fixed_value_type fold = fixed_value_monoid::identity(); const auto try_merge = [&](const size_type index) { fixed_value_type tmp = fixed_value_monoid::operation(fold, M_tree[index]); if (fixed_value_monoid::satisfies(std::forward(func), tmp)) return true; fold = std::move(tmp); return false; }; const auto subtree = [&](size_type index) { while (index < size()) { index <<= 1; if (!try_merge(index)) ++index; } return index - size() + 1; }; size_type story = 0; while (first < last) { if (first & 1) { if (try_merge(first)) return subtree(first); ++first; } first >>= 1; last >>= 1; ++story; } while (story--) { last = last_c >> story; if (last & 1) { --last; if (try_merge(last)) return subtree(last); } } return size() + 1; } template * = nullptr> size_type satisfies(const size_type right, Constraint &&func) const { assert(right <= size()); if (fixed_value_monoid::satisfies(std::forward(func), fixed_value_monoid::identity())) return right; size_type first = size(); size_type last = right + size(); const size_type first_c = first; fixed_value_type fold = fixed_value_monoid::identity(); const auto try_merge = [&](const size_type index) { fixed_value_type tmp = fixed_value_monoid::operation(M_tree[index], fold); if (fixed_value_monoid::satisfies(std::forward(func), tmp)) return true; fold = std::move(tmp); return false; }; const auto subtree = [&](size_type index) { while (index < size()) { index <<= 1; if (try_merge(index + 1)) ++index; } return index - size(); }; size_type story = 0; while (first < last) { if (first & 1) ++first; if (last & 1) { --last; if (try_merge(last)) return subtree(last); } first >>= 1; last >>= 1; ++story; } const size_type cover = bit_cover(first_c); while (story--) { first = (cover >> story) - ((cover - first_c) >> story); if (first & 1) { if (try_merge(first)) return subtree(first); } } return size_type(-1); } void clear() { M_tree.clear(); M_tree.shrink_to_fit(); } size_type size() const { return M_tree.size() >> 1; } }; /** * @title Segment Tree */ #line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp" #line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/mod_inv.cpp" #line 5 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/mod_inv.cpp" constexpr std::pair mod_inv(int64_t a, int64_t b) { if ((a %= b) == 0) return { b, 0 }; int64_t s = b, t = (a < 0 ? a + b : a); int64_t m0 = 0, m1 = 1, tmp = 0; while (t > 0) { const auto u = s / t; s -= t * u; m0 -= m1 * u; tmp = s; s = t; t = tmp; tmp = m0; m0 = m1; m1 = tmp; } return { s, (m0 < 0 ? m0 + b / s : m0) }; } /** * @title Extended GCD */ #line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp" #line 8 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/modular.cpp" #include template class modular { public: using value_type = uint32_t; using cover_type = uint64_t; static constexpr uint32_t mod() { return Modulus::mod(); } template static constexpr value_type normalize(T value_) noexcept { if (value_ < 0) { value_ = -value_; value_ %= mod(); if (value_ == 0) return 0; return mod() - value_; } return value_ % mod(); } private: value_type value; template * = nullptr> constexpr modular inverse_helper() const noexcept { return power(*this, mod() - 2); } template * = nullptr> constexpr modular inverse_helper() const noexcept { const auto tmp = mod_inv(value, mod()); assert(tmp.first == 1); return modular(tmp.second); } public: constexpr modular() noexcept : value(0) { } template explicit constexpr modular(T value_) noexcept : value(normalize(value_)) { } template explicit constexpr operator T() const noexcept { return static_cast(value); } constexpr value_type get() const noexcept { return value; } constexpr value_type &extract() noexcept { return value; } constexpr modular operator - () const noexcept { return modular(mod() - value); } constexpr modular operator ~ () const noexcept { return inverse(*this); } constexpr modular operator + (const modular &rhs) const noexcept { return modular(*this) += rhs; } constexpr modular& operator += (const modular &rhs) noexcept { if ((value += rhs.value) >= mod()) value -= mod(); return *this; } constexpr modular operator - (const modular &rhs) const noexcept { return modular(*this) -= rhs; } constexpr modular& operator -= (const modular &rhs) noexcept { if ((value += mod() - rhs.value) >= mod()) value -= mod(); return *this; } constexpr modular operator * (const modular &rhs) const noexcept { return modular(*this) *= rhs; } constexpr modular& operator *= (const modular &rhs) noexcept { value = (cover_type) value * rhs.value % mod(); return *this; } constexpr modular operator / (const modular &rhs) const noexcept { return modular(*this) /= rhs; } constexpr modular& operator /= (const modular &rhs) noexcept { return (*this) *= inverse(rhs); } constexpr bool zero() const noexcept { return value == 0; } constexpr bool operator == (const modular &rhs) const noexcept { return value == rhs.value; } constexpr bool operator != (const modular &rhs) const noexcept { return value != rhs.value; } friend std::ostream& operator << (std::ostream &stream, const modular &rhs) { return stream << rhs.value; } friend constexpr modular inverse(const modular &val) noexcept { return val.inverse_helper(); } friend constexpr modular power(modular val, cover_type exp) noexcept { modular res(1); for (; exp > 0; exp >>= 1, val *= val) if (exp & 1) res *= val; return res; } }; template struct static_modulus { static constexpr uint32_t mod() noexcept { return Mod; } static constexpr bool is_prime = IsPrime; }; template struct dynamic_modulus { static uint32_t &mod() noexcept { static uint32_t val = 0; return val; } static constexpr bool is_prime = IsPrime; }; template using mint32_t = modular>; using rmint32_t = modular>; /* * @title Modint */ #line 18 "main.cpp" using i32 = std::int32_t; using i64 = std::int64_t; using u32 = std::uint32_t; using u64 = std::uint64_t; using isize = std::ptrdiff_t; using usize = std::size_t; constexpr i32 inf32 = (i32(1) << 30) - 1; constexpr i64 inf64 = (i64(1) << 62) - 1; using Fp = mint32_t<998244353>; struct st_monoid { struct value_structure { using type = Fp; static type identity() { return Fp(0); } static type operation(const type& v1, const type& v2) { return v1 + v2; } }; }; int main() { usize N; std::cin >> N; std::vector A(N); for (auto &x: A) { std::cin >> x; } std::reverse(A.begin(), A.end()); usize mx = 0; for (auto i: range(1, N)) { chmax(mx, A[i - 1] - A[i]); } std::vector ans(2500); for (auto max_dif: range(mx, 2500)) { // std::vector> dp(N, std::vector(N)); // dp[0][0] = Fp(1); // for (auto i: range(0, N - 1)) { // for (auto j: range(0, i + 1)) { // dp[i + 1][j] += dp[i][j]; // if (A[j] - A[i + 1] <= max_dif) { // dp[i + 1][i] += dp[i][j]; // } // } // } // for (auto i: range(0, N)) { // ans[max_dif] += dp[N - 1][i]; // } std::vector left(N - 1); { usize idx = 0; for (auto i: range(0, N - 1)) { while (A[idx] - A[i + 1] > max_dif) { idx += 1; } left[i] = idx; } } segment_tree seg(N); seg.assign(0, Fp(2)); for (auto i: range(0, N - 1)) { seg.assign(i, seg.fold(left[i], i + 1)); } ans[max_dif] = seg.fold(0, N); } Fp sum; for (auto i: range(1, 2500)) { sum += Fp(i) * (ans[i] - ans[i - 1]); } std::cout << sum << '\n'; return 0; }