/** * date : 2025-11-28 21:37:31 * author : Nyaan */ #define NDEBUG using namespace std; // intrinstic #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include // utility namespace Nyaan { using ll = long long; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template using V = vector; template using VV = vector>; using vi = vector; using vl = vector; using vd = V; using vs = V; using vvi = vector>; using vvl = vector>; template using minpq = priority_queue, greater>; template struct P : pair { template constexpr P(Args... args) : pair(args...) {} using pair::first; using pair::second; P &operator+=(const P &r) { first += r.first; second += r.second; return *this; } P &operator-=(const P &r) { first -= r.first; second -= r.second; return *this; } P &operator*=(const P &r) { first *= r.first; second *= r.second; return *this; } template P &operator*=(const S &r) { first *= r, second *= r; return *this; } P operator+(const P &r) const { return P(*this) += r; } P operator-(const P &r) const { return P(*this) -= r; } P operator*(const P &r) const { return P(*this) *= r; } template P operator*(const S &r) const { return P(*this) *= r; } P operator-() const { return P{-first, -second}; } }; using pl = P; using pi = P; using vp = V; constexpr int inf = 1001001001; constexpr long long infLL = 4004004004004004004LL; template int sz(const T &t) { return t.size(); } template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline T Max(const vector &v) { return *max_element(begin(v), end(v)); } template inline T Min(const vector &v) { return *min_element(begin(v), end(v)); } template inline long long Sum(const vector &v) { return accumulate(begin(v), end(v), 0LL); } template int lb(const vector &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template int ub(const vector &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } constexpr long long TEN(int n) { long long ret = 1, x = 10; for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1); return ret; } template pair mkp(const T &t, const U &u) { return make_pair(t, u); } template vector mkrui(const vector &v, bool rev = false) { vector ret(v.size() + 1); if (rev) { for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1]; } else { for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; } return ret; }; template vector mkuni(const vector &v) { vector ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template vector mkord(int N, F f) { vector ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template vector mkinv(vector &v) { int max_val = *max_element(begin(v), end(v)); vector inv(max_val + 1, -1); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } vector mkiota(int n) { vector ret(n); iota(begin(ret), end(ret), 0); return ret; } template T mkrev(const T &v) { T w{v}; reverse(begin(w), end(w)); return w; } template bool nxp(T &v) { return next_permutation(begin(v), end(v)); } // 返り値の型は入力の T に依存 // i 要素目 : [0, a[i]) template vector> product(const vector &a) { vector> ret; vector v; auto dfs = [&](auto rc, int i) -> void { if (i == (int)a.size()) { ret.push_back(v); return; } for (int j = 0; j < a[i]; j++) v.push_back(j), rc(rc, i + 1), v.pop_back(); }; dfs(dfs, 0); return ret; } // F : function(void(T&)), mod を取る操作 // T : 整数型のときはオーバーフローに注意する template T Power(T a, long long n, const T &I, const function &f) { T res = I; for (; n; f(a = a * a), n >>= 1) { if (n & 1) f(res = res * a); } return res; } // T : 整数型のときはオーバーフローに注意する template T Power(T a, long long n, const T &I = T{1}) { return Power(a, n, I, function{[](T &) -> void {}}); } template T Rev(const T &v) { T res = v; reverse(begin(res), end(res)); return res; } template vector Transpose(const vector &v) { using U = typename T::value_type; if(v.empty()) return {}; int H = v.size(), W = v[0].size(); vector res(W, T(H, U{})); for (int i = 0; i < H; i++) { for (int j = 0; j < W; j++) { res[j][i] = v[i][j]; } } return res; } template vector Rotate(const vector &v, int clockwise = true) { using U = typename T::value_type; int H = v.size(), W = v[0].size(); vector res(W, T(H, U{})); for (int i = 0; i < H; i++) { for (int j = 0; j < W; j++) { if (clockwise) { res[W - 1 - j][i] = v[i][j]; } else { res[j][H - 1 - i] = v[i][j]; } } } return res; } } // namespace Nyaan // bit operation namespace Nyaan { __attribute__((target("popcnt"))) inline int popcnt(const u64 &a) { return __builtin_popcountll(a); } inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; } template inline int gbit(const T &a, int i) { return (a >> i) & 1; } template inline void sbit(T &a, int i, bool b) { if (gbit(a, i) != b) a ^= T(1) << i; } constexpr long long PW(int n) { return 1LL << n; } constexpr long long MSK(int n) { return (1LL << n) - 1; } } // namespace Nyaan // inout namespace Nyaan { template ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } istream &operator>>(istream &is, __int128_t &x) { string S; is >> S; x = 0; int flag = 0; for (auto &c : S) { if (c == '-') { flag = true; continue; } x *= 10; x += c - '0'; } if (flag) x = -x; return is; } istream &operator>>(istream &is, __uint128_t &x) { string S; is >> S; x = 0; for (auto &c : S) { x *= 10; x += c - '0'; } return is; } ostream &operator<<(ostream &os, __int128_t x) { if (x == 0) return os << 0; if (x < 0) os << '-', x = -x; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } ostream &operator<<(ostream &os, __uint128_t x) { if (x == 0) return os << 0; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; } // namespace Nyaan // debug #ifdef NyaanDebug #define trc(...) (void(0)) #else #define trc(...) (void(0)) #endif #ifdef NyaanLocal #define trc2(...) (void(0)) #else #define trc2(...) (void(0)) #endif // macro #define each(x, v) for (auto&& x : v) #define each2(x, y, v) for (auto&& [x, y] : v) #define all(v) (v).begin(), (v).end() #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define fi first #define se second #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define die(...) \ do { \ Nyaan::out(__VA_ARGS__); \ return; \ } while (0) namespace Nyaan { void solve(); } int main() { Nyaan::solve(); } // namespace internal { using i64 = long long; using u64 = unsigned long long; using u128 = __uint128_t; template struct Hash : array { using array::operator[]; static constexpr int n = BASE_NUM; Hash() : array() {} static constexpr u64 md = (1ull << 61) - 1; constexpr static Hash set(const i64 &a) { Hash res; fill(begin(res), end(res), cast(a)); return res; } Hash &operator+=(const Hash &r) { for (int i = 0; i < n; i++) if (((*this)[i] += r[i]) >= md) (*this)[i] -= md; return *this; } Hash &operator+=(const i64 &r) { u64 s = cast(r); for (int i = 0; i < n; i++) if (((*this)[i] += s) >= md) (*this)[i] -= md; return *this; } Hash &operator-=(const Hash &r) { for (int i = 0; i < n; i++) if (((*this)[i] += md - r[i]) >= md) (*this)[i] -= md; return *this; } Hash &operator-=(const i64 &r) { u64 s = cast(r); for (int i = 0; i < n; i++) if (((*this)[i] += md - s) >= md) (*this)[i] -= md; return *this; } Hash &operator*=(const Hash &r) { for (int i = 0; i < n; i++) (*this)[i] = modmul((*this)[i], r[i]); return *this; } Hash &operator*=(const i64 &r) { u64 s = cast(r); for (int i = 0; i < n; i++) (*this)[i] = modmul((*this)[i], s); return *this; } Hash operator+(const Hash &r) { return Hash(*this) += r; } Hash operator+(const i64 &r) { return Hash(*this) += r; } Hash operator-(const Hash &r) { return Hash(*this) -= r; } Hash operator-(const i64 &r) { return Hash(*this) -= r; } Hash operator*(const Hash &r) { return Hash(*this) *= r; } Hash operator*(const i64 &r) { return Hash(*this) *= r; } Hash operator-() const { Hash res; for (int i = 0; i < n; i++) res[i] = (*this)[i] == 0 ? 0 : md - (*this)[i]; return res; } friend Hash pfma(const Hash &a, const Hash &b, const Hash &c) { Hash res; for (int i = 0; i < n; i++) res[i] = modfma(a[i], b[i], c[i]); return res; } friend Hash pfma(const Hash &a, const Hash &b, const i64 &c) { Hash res; u64 s = cast(c); for (int i = 0; i < n; i++) res[i] = modfma(a[i], b[i], s); return res; } Hash pow(long long e) { Hash a{*this}, res{Hash::set(1)}; for (; e; a *= a, e >>= 1) { if (e & 1) res *= a; } return res; } static Hash get_basis() { static auto rand_time = chrono::duration_cast( chrono::high_resolution_clock::now().time_since_epoch()) .count(); static mt19937_64 rng(rand_time); Hash h; for (int i = 0; i < n; i++) { while (isPrimitive(h[i] = rng() % (md - 1) + 1) == false) ; } return h; } private: static u64 modpow(u64 a, u64 b) { u64 r = 1; for (a %= md; b; a = modmul(a, a), b >>= 1) r = modmul(r, a); return r; } static bool isPrimitive(u64 x) { for (auto &d : vector{2, 3, 5, 7, 11, 13, 31, 41, 61, 151, 331, 1321}) if (modpow(x, (md - 1) / d) <= 1) return false; return true; } static inline constexpr u64 cast(const long long &a) { return a < 0 ? a + md : a; } static inline constexpr u64 modmul(const u64 &a, const u64 &b) { u128 d = u128(a) * b; u64 ret = (u64(d) & md) + u64(d >> 61); return ret >= md ? ret - md : ret; } static inline constexpr u64 modfma(const u64 &a, const u64 &b, const u64 &c) { u128 d = u128(a) * b + c; u64 ret = (d >> 61) + (u64(d) & md); return ret >= md ? ret - md : ret; } }; } // namespace internal /** * @brief ハッシュ構造体 * @docs docs/internal/internal-hash.md */ using namespace std; template struct RollingHash { using Hash = internal::Hash; Str data; vector hs, pw; int s; static Hash basis; RollingHash(const Str &S = Str()) { build(S); } void build(const Str &S) { data = S; s = S.size(); hs.resize(s + 1); pw.resize(s + 1); pw[0] = Hash::set(1); hs[0] = Hash::set(0); for (int i = 1; i <= s; i++) { pw[i] = pw[i - 1] * basis; hs[i] = pfma(hs[i - 1], basis, S[i - 1]); } } Hash get(int l, int r = -1) const { if (r == -1) r = s; return pfma(hs[l], -pw[r - l], hs[r]); } // T の hash を返す static Hash get_hash(const Str &T) { Hash ret = Hash::set(0); for (int i = 0; i < (int)T.size(); i++) ret = pfma(ret, basis, T[i]); return ret; } // a + b の hash を返す // 引数 : a, b, b の長さ static Hash unite(Hash a, Hash b, long long bsize) { return pfma(a, basis.pow(bsize), b); } int find(Str &T, int lower = 0) const { auto ths = get_hash(T); for (int i = lower; i <= s - (int)T.size(); i++) if (ths == get(i, i + (int)T.size())) return i; return -1; } static int lcp(const RollingHash &a, const RollingHash &b, int al, int bl) { int ok = 0, ng = min(a.size() - al, b.size() - bl) + 1; while (ok + 1 < ng) { int med = (ok + ng) / 2; (a.get(al, med + al) == b.get(bl, med + bl) ? ok : ng) = med; } return ok; } static int strcmp(const RollingHash &a, const RollingHash &b, int al, int bl, int ar = -1, int br = -1) { if (ar == -1) ar = a.size(); if (br == -1) br = b.size(); int n = min({lcp(a, b, al, bl), ar - al, br - bl}); return al + n == ar ? bl + n == br ? 0 : -1 : bl + n == br ? 1 : a.data[al + n] < b.data[bl + n] ? -1 : 1; } int size() const { return s; } }; template typename RollingHash::Hash RollingHash::basis = internal::Hash::get_basis(); using roriha = RollingHash; /** * @brief Rolling Hash * @docs docs/string/rolling-hash.md */ using namespace Nyaan; void q() { inl(N); vl A(N); in(A); RollingHash rhA(A), rhB(Rev(A)); using Hash = internal::Hash<1>; Hash base = rhA.basis; auto same = [&](auto rc, ll k, ll len) -> pair { if (len == 0) return {Hash::set(0), Hash::set(1)}; if (len % 2 == 1) { auto [h, b] = rc(rc, k, len - 1); return {h * base + Hash::set(k), b * base}; } auto [h, b] = rc(rc, k, len / 2); return {h * b + h, b * b}; }; ll ans = 0; rep(i, N) { // [i-k,i+1+k) { ll ok = 0, ng = min(i + 1, N - i); while (ok + 1 < ng) { ll m = (ok + ng) / 2; int L = i - m, R = i + 1 + m; Hash h1 = rhA.get(L, R); Hash h2 = rhB.get(N - R, N - L); (h1 + h2 == same(same, A[i] * 2, R - L).fi ? ok : ng) = m; } trc(1, i, ok); ans += ok + 1; } if (i + 1 != N) { // A[i],A[i+1] を中心とするもの // [i-k, i+k+2) ll ok = 0, ng = min(i + 1, N - i - 1); while (ok + 1 < ng) { ll m = (ok + ng) / 2; int L = i - m, R = i + m + 2; Hash h1 = rhA.get(L, R); Hash h2 = rhB.get(N - R, N - L); (h1 + h2 == same(same, A[i] + A[i + 1], R - L).fi ? ok : ng) = m; } trc(2, i, ok); ans += ok + 1; } } out(ans); } void Nyaan::solve() { int t = 1; // in(t); while (t--) q(); }