#ifdef ONLINE_JUDGE #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #endif #include #include using namespace std; using namespace atcoder; typedef long long ll; typedef unsigned long long ull; typedef long double ld; #define rep(i, n) for (ll i = 0; i < (ll)(n); i++) #define rrep(i,start,end) for (ll i = start;i >= (ll)(end);i--) #define repn(i,end) for(ll i = 0; i <= (ll)(end); i++) #define reps(i,start,end) for(ll i = start; i < (ll)(end); i++) #define repsn(i,start,end) for(ll i = start; i <= (ll)(end); i++) #define each(p,a) for(auto &p:a) typedef vector vll; typedef vector> vpll; typedef vector>> vvpll; typedef vector> vvll; typedef vector>> vvvll; typedef set sll; typedef map mpll; typedef pair pll; typedef tuple tpl3; typedef tuple tpl4; typedef tuple tpl5; typedef tuple tpl6; #define LL(...) ll __VA_ARGS__; input(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; input(__VA_ARGS__) #define Str(...) string __VA_ARGS__; input(__VA_ARGS__) #define Ch(...) char __VA_ARGS__; input(__VA_ARGS__) #define all(a) (a).begin(),(a).end() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define sz(x) (ll)x.size() // << std::fixed << std::setprecision(10) const ll INF = 1LL << 60; const ld EPS = 1e-9; ll lceil(ll a,ll b){if(a%b==0){return a/b;}if(a>=0){return (a/b)+1;}else{return -((-a)/b);}} ll lfloor(ll a,ll b){if(a%b==0){return a/b;}if(a>=0){return (a/b);}else{return -((-a)/b)-1;}} inline ll positive_mod(ll a,ll m){return (a % m + m)%m;} inline ll popcnt(ull a){ return __builtin_popcountll(a);} //0indexed inline ll topbit(ll a){assert(a != 0);return 63 - __builtin_clzll(a);} inline ll smlbit(ll a){assert(a != 0);return __builtin_ctzll(a);} template bool chmin(T& a, T b){if(a > b){a = b;return true;}return false;} template bool chmax(T& a, T b){if(a < b){a = b;return true;}return false;} template std::istream &operator>>(std::istream&is,std::vector&v){for(T &in:v){is>>in;}return is;} template std::ostream &operator<<(std::ostream&os,const std::vector&v){for(auto it=std::begin(v);it!=std::end(v);){os<<*it<<((++it)!=std::end(v)?" ":"");}return os;} templatestd::ostream &operator<< (std::ostream &os, std::pair p){os << "{" << p.first << "," << p.second << "}";return os;} templatevoid input(T&... a){(cin >> ... >> a);} void print(){cout << endl;} templatevoid print(const T& a, const Ts&... b){cout << a;((cout << ' ' << b), ...);cout << endl;} template void pspace(const T& a){ cout << a << ' ';} void perr(){cerr << endl;} templatevoid perr(const T& a, const Ts&... b){cerr << a;((cerr << ' ' << b), ...);cerr << endl;} void yes(bool i = true){ return print(i?"yes":"no"); } void Yes(bool i = true){ return print(i?"Yes":"No"); } void YES(bool i = true){ return print(i?"YES":"NO"); } template vector &operator++(vector &v) {for(auto &e : v) e++;return v;} template vector operator++(vector &v, signed) {auto res = v;for(auto &e : v) e++;return res;} template vector &operator--(vector &v) {for(auto &e : v) e--;return v;} template vector operator--(vector &v, signed) {auto res = v;for(auto &e : v) e--;return res;} //grid探索用 vector _ta = {0,0,1,-1,1,1,-1,-1}; vector _yo = {1,-1,0,0,1,-1,1,-1}; bool isin(ll now_i,ll now_j,ll h,ll w){return (0<=now_i && now_i < h && 0 <= now_j && now_j < w);} ll lpow(ll x,ll n){ll ans = 1;while(n >0){if(n & 1)ans *= x;x *= x;n >>= 1;}return ans;} ll Modlpow(ll x,ll n,ll m){ll ans = 1;ll a = x%m;while(n >0){if(n & 1){ans *= a;ans%= m;}a *= a;a %= m;n >>= 1;}return ans;} const ll MOD9 = 998244353LL; const ll MOD10 = 1000000007LL; //参考 https://drken1215.hatenablog.com/entry/2019/03/12/135500 //https://qiita.com/keymoon/items/11fac5627672a6d6a9f6 //verify https://atcoder.jp/contests/abc430/submissions/70648380 namespace Hash{ const ull MASK30 = (1UL << 30) - 1; const ull MASK31 = (1UL << 31) - 1; const ull MOD = (1UL << 61) - 1; const ull MASK61 = MOD; const ull POSITIVIZER = MOD * 4; const ull base = 2*lpow(10,9)+2; //mod 2^61-1を計算する関数 ull CalcMod(ull x) { ull xu = x >> 61; ull xd = x & MASK61; ull res = xu + xd; if (res >= MOD) res -= MOD; return res; } //a*b mod 2^61-1を返す関数(最後にModを取る) ull Mul(ull a, ull b) { ull au = a >> 31; ull ad = a & MASK31; ull bu = b >> 31; ull bd = b & MASK31; ull mid = ad * bu + au * bd; ull midu = mid >> 30; ull midd = mid & MASK30; return CalcMod(au * bu * 2 + midu + (midd << 31) + ad * bd); } //2^61 -1 で割る時のpow計算 ull SuperMODpow(ll x,ll n){ // MOD = (1UL << 61) - 1;,Mul,CalcMod必要 ull ans = 1; ull a = x; while(n> 0){ if(n & 1){ ans = Mul(ans,a); } a = Mul(a,a); n>>=1; } return ans; } // ロリハのマージ用 // S + T をマージするとき // top = hash(S) , btm = hash(T), btmlen = |T| ull merge(ull top,ull btm,ll btmlen){ return CalcMod(Mul(top,SuperMODpow(base,btmlen)) + btm); } } struct RollingHash{ vector hash; vector pre; RollingHash(){} RollingHash(const vector &_s){ init(_s); } void init(const vector &_s){ ll n = _s.size(); hash.assign(n+1,0); rep(i,n){ hash[i + 1] = Hash::CalcMod((Hash::Mul(hash[i],Hash::base) + _s[i])); pre.push_back(Hash::SuperMODpow(Hash::base,i)); } pre.push_back(Hash::SuperMODpow(Hash::base,n)); } //[l,r)のハッシュを返す inline ull get(ll l,ll r){ return Hash::CalcMod(hash[r]+ Hash::POSITIVIZER - Hash::Mul(hash[l],pre[r-l])); } }; int main(){ ios::sync_with_stdio(false);cin.tie(nullptr); LL(n); vector a(n);cin >> a; vector b(n-1); int btm = lpow(10,9); rep(i,n-1){ b[i] = a[i+1]-a[i]+btm; } vector c = b; reverse(all(c)); RollingHash rh(b),rrh(c); ll ans = 0; auto rclc = [&](int l,int r){ //[l,r)の反転 return rrh.get(n-2-(r-1),n-2-(l-1)); }; rep(i,n){ //iを中心 { int ng = min(i+1,n-i);//条件を満たさない値 int ok = 0;//条件を満たす値 auto f = [&](int mid)->bool { //mid個 ull left = rh.get(i-mid,i); ull right = rclc(i,i+mid); return left == right; }; while(abs(ok-ng) > 1){ int mid = (ok + ng)/2; if(f(mid)){ ok = mid; }else{ ng = mid; } } ans += ok+1; } //(i,i+1)を中心 if(i+1 < n){ int ok = 0;//条件を満たす値 int ng = min(i+1,n-(i+1));//条件を満たさない値 auto f = [&](int mid)->bool { ull left = rh.get(i-mid,i); ull right = rclc(i+1,i+1+mid); return left == right; }; while(abs(ok-ng) > 1){ int mid = (ok + ng)/2; if(f(mid)){ ok = mid; }else{ ng = mid; } } ans += ok+1; } } cout << ans << endl; }