結果
問題 | No.2053 12345... |
ユーザー | tatananonano |
提出日時 | 2022-12-18 04:21:14 |
言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 29,927 bytes |
コンパイル時間 | 6,174 ms |
コンパイル使用メモリ | 296,524 KB |
実行使用メモリ | 6,224 KB |
最終ジャッジ日時 | 2024-11-17 13:09:38 |
合計ジャッジ時間 | 8,500 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge5 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,248 KB |
testcase_02 | WA | - |
testcase_03 | AC | 18 ms
5,248 KB |
testcase_04 | WA | - |
testcase_05 | WA | - |
testcase_06 | WA | - |
testcase_07 | WA | - |
testcase_08 | WA | - |
testcase_09 | WA | - |
testcase_10 | WA | - |
testcase_11 | WA | - |
testcase_12 | WA | - |
testcase_13 | WA | - |
testcase_14 | WA | - |
testcase_15 | WA | - |
testcase_16 | WA | - |
testcase_17 | WA | - |
testcase_18 | WA | - |
testcase_19 | WA | - |
testcase_20 | WA | - |
testcase_21 | WA | - |
testcase_22 | AC | 2 ms
5,248 KB |
testcase_23 | AC | 8 ms
5,248 KB |
testcase_24 | AC | 19 ms
5,248 KB |
testcase_25 | AC | 72 ms
5,248 KB |
testcase_26 | AC | 31 ms
5,248 KB |
testcase_27 | AC | 18 ms
5,248 KB |
testcase_28 | AC | 16 ms
5,248 KB |
testcase_29 | AC | 46 ms
5,248 KB |
testcase_30 | AC | 18 ms
5,248 KB |
testcase_31 | AC | 42 ms
5,248 KB |
testcase_32 | AC | 81 ms
5,248 KB |
ソースコード
#include <vector> #include <algorithm> #include <cmath> #include <queue> #include <deque> #include <list> #include <unordered_map> #include <unordered_set> #include <iomanip> #include <set> #include <map> #include <ctime> #include <stack> #include <functional> #include <cstdio> #include <string> #include <iostream> #include <limits> #include <stdexcept> #include <numeric> #include <fstream> #include <atcoder/all> #include <chrono> #include <utility> #include <cassert> #include <random> #include <stdio.h> #include <stdlib.h> using namespace std; using namespace atcoder; using namespace internal; typedef long long ll; typedef long double LD; typedef double D; typedef pair<ll,ll> P; typedef map<ll,ll> M; #define rep(i,n) for(ll i=0;i<n;i++) #define rrep(i,n) for(ll i=1;i<n;i++) #define jep(i, a, n)for (ll i =(ll)a; i<(ll)n;++i) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define drep(i, n) drep2(i, n, 0) #define fore(i,a) for(const auto &i:a) #define all(x) (x).begin(),(x).end() #define frac(x) x-floor(x) #define eb emplace_back #define pb push_back #define lb lower_bound #define ub upper_bound #define SUM(x) accumulate(all(x),0) #define uni(x) sort(all(x));x.erase(unique(all(x)),x.end()) #define TFU(s) transform(all(s),begin(s),::toupper);//大文字にする #define TFL(s) transform(all(s),begin(s),::tolower);//小文字にする #define replace(s,a,A) replace(s,'a','A')//str(s)のaをAにする #define NP(a) next_permutation(all(a)) #define grid_check(a,b,h,w) (a<0 or b<0 or a>=h or b>=w) #define ROT(s,i) rotate(s.begin(),s.begin()+i,s.end())//sのi番目から後ろを前にする #define PQ priority_queue #define PQD PQ<P,vector<P>,greater<P>>//小さい順に吐く #define PQS PQ<ll,vec,greater<ll>>//大きい順に吐く #define fi first #define se second #define bit(n,k) ((n>>k)&1) #define cl clock()/CLOCKS_PER_SEC #define printd(n,x) cout<<fixed<<setprecision(n)<<x<<endl #define cinv(a,n); rep(i,n){cin>>a[i];} #define cinvv(a,n,m); rep(i,n){rep(j,m){cin>>a[i][j];}} #define popcount(n) __builtin_popcountll(n) template<class T> inline bool chmax(T& a,T b){if(a < b){a=b;return 1;}return 0;} template<class T> inline bool chmin(T& a,T b){if(a > b){a=b;return 1;}return 0;} typedef vector<ll> vec; typedef vector<vec> mat; const LD PI=acos(-1); //const ll mod = 1000000009;//手動で切り替える. const ll mod = 998244353; //const ll mod = 1000000007; using mint =modint998244353; //using mint =modint1000000009; //using mint =modint1000000007; const ll INF = (1LL<<(60)); ll dx[4]={0,1,0,-1},dy[4]={-1,0,1,0}; ll modpow(ll a,ll n,ll mod){if(mod==1)return 0;ll ret=1;ll p=a%mod;while(n){if(n&1)ret=ret*p%mod;p=p*p%mod;n>>=1;}return ret; } M factor(ll n) {M ret;for(ll i=2;i*i<=n;i++){while(n%i==0){ret[i]++;n /= i;}}if(n != 1){ret[n]=1;}return ret;}//素因数分解 vec divisor(ll n){vec K;for(ll i=1;i*i<=n;i++){if(n%i==0){K.pb(i);if(i*i!=n)K.pb(n/i);}}sort(all(K));return K;}//約数列挙 ll modlog(ll a,ll b,ll p){ll g=1;for(ll i=p;i;i/=2)(g*=a)%=p;g=gcd(g,p);ll t=1,c=0;for(;t%g;c++){if(t==b)return c;(t*=a)%=p;}if(b%g){return -1;}t/=g;b /= g;ll n=p/g,h=0,gs=1;for(;h*h<n; h++){(gs*=a)%=n;}unordered_map<ll,ll>bs;for(ll s=0,e=b;s<h;bs[e]=++s){(e *= a) %= n;}for(ll s = 0, e = t; s < n;){(e*=gs)%=n;s+=h;if(bs.count(e))return c+s-bs[e];}return -1;}//a^x≡b(modp) x_min //task : x=0が効かないから別の用意する bool isprime(ll N){if(N==1){return false;}if(N==2){return true;}for(ll i=2;i*i<=N;i++){if(N%i==0)return false;}return true;}//Naiveな素数判定 static inline ll my_div(ll n, ll p) { return double(n) / p; }; ll prime_counting(ll N) {ll N2 = sqrt(N);ll NdN2 = my_div(N, N2);vec hl(NdN2);rrep(i,NdN2){hl[i] = my_div(N, i) - 1;}vec hs(N2 + 1);iota(begin(hs), end(hs), -1);for (int x = 2, pi = 0; x <= N2; ++x) {if (hs[x] == hs[x - 1]) {continue;}ll x2 = ll(x) * x;ll imax = min<ll>(NdN2, my_div(N, x2) + 1);ll ix = x;for (ll i = 1; i < imax; ++i) {hl[i] -= (ix < NdN2 ? hl[ix] : hs[my_div(N, ix)]) - pi;ix += x;}for (int n = N2; n >= x2; n--) {hs[n] -= hs[my_div(n, x)] - pi;}++pi;}return hl[1];} mat binomial(ll n) {mat a(n+1,vec(n+1));rep(i,n+1)rep(j,i+1){if(j==0||j==i)a[i][j]=1;else a[i][j]=a[i-1][j-1]+a[i-1][j];}return a;}//O(n^2) template<typename T>T phi(T n) {T ret=n;for(T i = 2; i * i <= n; i++){if(n % i == 0){ret -= ret / i;while(n % i == 0) n /= i;}}if(n > 1){ret -= ret / n;}return ret;} template<typename T>T extgcd(T a, T b, T &x, T &y){T d = a;if(b != 0){d=extgcd(b,a%b,y,x);y -= (a / b) * x;}else {x = 1;y = 0;}return d;} mat mat_mul(mat&a,mat&b){mat res(a.size(),vec(b[0].size()));rep(i,a.size()){rep(j,b[0].size()){rep(k,b.size()){(res[i][j]+=a[i][k]*b[k][j])%=mod;}}}return res;} mat matpow(mat a,ll n){mat res(a.size(),vec(a.size()));rep(i,a.size())res[i][i]=1;while(n>0){if(n & 1)res=mat_mul(a,res);a=mat_mul(a,a);n>>=1;}return res;} //#define mant vector<vector<mint>>//なにこれ //mant mant_mul(mant&a,mant&b){mant res(a.size(),vector<mint>(b[0].size()));rep(i,a.size()){rep(j,b[0].size()){rep(k,b.size()){(res[i][j]+=a[i][k]*b[k][j])}}}return res;} //mant mantpow(mant a,ll n){mant res(a.size(),vector<mint>(a.size()));rep(i,a.size())res[i][i]=1;while(n>0){if(n & 1)res=mant_mul(a,res);a=mant_mul(a,a);n>>=1;}return res;} vec base(ll x,ll b){//(b)進数の配列を用意 vec ret;ll t = 1, k = abs(b); while(x) {ret.emplace_back((x * t) % k);if(ret.back() < 0){ret.back() += k;}x -= ret.back() * t;x /= k;t *= b / k;} if(ret.empty()) {ret.emplace_back(0);}reverse(begin(ret), end(ret));return ret;} vec slide_min(const vec &v,ll k){ deque<ll> q; vec ret; rep(i,v.size()){ while(!q.empty() and v[q.back()]>=v[i])q.pop_back(); q.push_back(i); if(i-k+1>=0){ ret.pb(v[q.front()]); if(q.front()==i-k+1){q.pop_front();} } } return ret; } struct SuccinctIndexableDictionary {size_t length;size_t blocks;vector< unsigned > bit, sum;SuccinctIndexableDictionary() = default;SuccinctIndexableDictionary(size_t length) : length(length), blocks((length + 31) >> 5) {bit.assign(blocks, 0U);sum.assign(blocks, 0U);} void set(ll k) {bit[k >> 5] |= 1U << (k & 31);} void build() {sum[0] = 0U;for(ll i = 1; i < blocks; i++) {sum[i] = sum[i - 1] + __builtin_popcount(bit[i - 1]);}} bool operator[](ll k) {return (bool((bit[k >> 5] >> (k & 31)) & 1));} ll rank(ll k) {return (sum[k >> 5] + __builtin_popcount(bit[k >> 5] & ((1U << (k & 31)) - 1)));} ll rank(bool val, ll k) {return (val ? rank(k) : k - rank(k));}}; template< typename T, ll MAXLOG > struct WaveletMatrix {size_t length;SuccinctIndexableDictionary matrix[MAXLOG];ll mid[MAXLOG];WaveletMatrix() = default;WaveletMatrix(vector< T > v) : length(v.size()) {vector< T > l(length), r(length); for(ll level = MAXLOG - 1; level >= 0; level--) {matrix[level] = SuccinctIndexableDictionary(length + 1);ll left = 0, right = 0;for(ll i = 0; i < length; i++) {if(((v[i] >> level) & 1)) {matrix[level].set(i);r[right++] = v[i];} else {l[left++] = v[i];}} mid[level] = left;matrix[level].build();v.swap(l);for(ll i = 0; i < right; i++) {v[left + i] = r[i];}}}pair< ll, ll > succ(bool f, ll l, ll r, ll level) { return {matrix[level].rank(f, l) + mid[level] * f, matrix[level].rank(f, r) + mid[level] * f};} T access(ll k) {T ret = 0;for(ll level = MAXLOG - 1; level >= 0; level--) {bool f = matrix[level][k];if(f) ret |= T(1) << level;k = matrix[level].rank(f, k) + mid[level] * f;}return ret;} T operator[](const ll &k) {return access(k);}ll rank(const T &x, ll r) {ll l = 0;for(ll level = MAXLOG - 1; level >= 0; level--) {tie(l, r) = succ((x >> level) & 1, l, r, level);}return r - l;} T kth_smallest(ll l, ll r, ll k) {assert(0 <= k && k < r - l);T ret = 0; for(ll level = MAXLOG - 1; level >= 0; level--) {ll cnt = matrix[level].rank(false, r) - matrix[level].rank(false, l);bool f = cnt <= k;if(f) {ret |= T(1) << level;k -= cnt;}tie(l, r) = succ(f, l, r, level);}return ret;} T kth_largest(ll l, ll r, ll k) {return kth_smallest(l, r, r - l - k - 1);} ll range_freq(ll l, ll r, T upper) {ll ret = 0; for(ll level = MAXLOG - 1; level >= 0; level--) { bool f = ((upper >> level) & 1);if(f) {ret += matrix[level].rank(false, r) - matrix[level].rank(false, l);}tie(l, r) = succ(f, l, r, level);}return ret;} ll range_freq(ll l, ll r, T lower, T upper) { return range_freq(l, r, upper) - range_freq(l, r, lower);} T prev_value(ll l, ll r, T upper) {ll cnt = range_freq(l, r, upper);return cnt == 0 ? T(-1) : kth_smallest(l, r, cnt - 1);} T next_value(ll l, ll r, T lower) {ll cnt = range_freq(l, r, lower);return cnt == r - l ? T(-1) : kth_smallest(l, r, cnt);}}; template< typename T, ll MAXLOG > struct CWM {WaveletMatrix< ll, MAXLOG > mat;vector< T > ys; CWM(const vector< T > &v) : ys(v) {sort(begin(ys), end(ys));ys.erase(unique(begin(ys), end(ys)), end(ys));vec t(v.size());for(ll i = 0; i < v.size(); i++) t[i] = get(v[i]);mat = WaveletMatrix< ll, MAXLOG >(t);} inline ll get(const T& x) {return lower_bound(begin(ys), end(ys), x) - begin(ys);} T access(ll k) {return ys[mat.access(k)];} T operator[](const ll &k) {return access(k);} ll rank(const T &x, ll r) {auto pos = get(x);if(pos == ys.size() || ys[pos] != x) {return 0;}return mat.rank(pos, r);} T kth_smallest(ll l, ll r, ll k) {return ys[mat.kth_smallest(l, r, k)];} T kth_largest(ll l, ll r, ll k) {return ys[mat.kth_largest(l, r, k)];} ll range_freq(ll l, ll r, T upper) {return mat.range_freq(l, r, get(upper));} ll range_freq(ll l, ll r, T lower, T upper) {return mat.range_freq(l, r, get(lower), get(upper));} T prev_value(ll l, ll r, T upper) {auto ret = mat.prev_value(l, r, get(upper));return ret == -1 ? T(-1) : ys[ret];} T next_value(ll l, ll r, T lower) {auto ret = mat.next_value(l, r, get(lower));return ret == -1 ? T(-1) : ys[ret];}}; namespace inner { using i32 = int32_t; using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; template <typename T> T gcd(T a, T b) { while (b) swap(a %= b, b); return a; } template <typename T> T inv(T a, T p) { T b = p, x = 1, y = 0; while (a) { T q = b / a; swap(a, b %= a); swap(x, y -= q * x); } assert(b == 1); return y < 0 ? y + p : y; } template <typename T, typename U> T modpow(T a, U n, T p) { T ret = 1 % p; for (; n; n >>= 1, a = U(a) * a % p) if (n & 1) ret = U(ret) * a % p; return ret; } } // namespace inner namespace my_rand { // [0, 2^64 - 1) uint64_t rng() { static uint64_t x_ = uint64_t(chrono::duration_cast<chrono::nanoseconds>( chrono::high_resolution_clock::now().time_since_epoch()) .count()) * 10150724397891781847ULL; x_ ^= x_ << 7; return x_ ^= x_ >> 9; } // [l, r) int64_t randint(int64_t l, int64_t r) { assert(l < r); return l + rng() % (r - l); } // choose n numbers from [l, r) without overlapping vector<int64_t> randset(int64_t l, int64_t r, int64_t n) { assert(l <= r && n <= r - l); unordered_set<int64_t> s; for (int64_t i = n; i; --i) { int64_t m = randint(l, r + 1 - i); if (s.find(m) != s.end()) m = r - i; s.insert(m); } vector<int64_t> ret; for (auto& x : s) ret.push_back(x); return ret; } // [0.0, 1.0) double rnd() { union raw_cast { double t; uint64_t u; }; constexpr uint64_t p = uint64_t(1023 - 64) << 52; return rng() * ((raw_cast*)(&p))->t; } template <typename T> void randshf(vector<T>& v) { int n = v.size(); for (int loop = 0; loop < 2; loop++) for (int i = 0; i < n; i++) swap(v[i], v[randint(0, n)]); } } // namespace my_rand using my_rand::randint;using my_rand::randset;using my_rand::randshf;using my_rand::rnd;using my_rand::rng; struct ArbitraryLazyMontgomeryModInt { using mint = ArbitraryLazyMontgomeryModInt; using i32 = int32_t; using u32 = uint32_t; using u64 = uint64_t; static u32 mod; static u32 r; static u32 n2; static u32 get_r() { u32 ret = mod; for (i32 i = 0; i < 4; ++i) ret *= 2 - mod * ret; return ret; } static void set_mod(u32 m) { assert(m < (1 << 30)); assert((m & 1) == 1); mod = m; n2 = -u64(m) % m; r = get_r(); assert(r * mod == 1); } u32 a; ArbitraryLazyMontgomeryModInt() : a(0) {} ArbitraryLazyMontgomeryModInt(const int64_t &b) : a(reduce(u64(b % mod + mod) * n2)){}; static u32 reduce(const u64 &b) { return (b + u64(u32(b) * u32(-r)) * mod) >> 32; } mint &operator+=(const mint &b) { if (i32(a += b.a - 2 * mod) < 0) a += 2 * mod; return *this; } mint &operator-=(const mint &b) { if (i32(a -= b.a) < 0) a += 2 * mod; return *this; } mint &operator*=(const mint &b) { a = reduce(u64(a) * b.a); return *this; } mint &operator/=(const mint &b) { *this *= b.inverse(); return *this; } mint operator+(const mint &b) const { return mint(*this) += b; } mint operator-(const mint &b) const { return mint(*this) -= b; } mint operator*(const mint &b) const { return mint(*this) *= b; } mint operator/(const mint &b) const { return mint(*this) /= b; } bool operator==(const mint &b) const { return (a >= mod ? a - mod : a) == (b.a >= mod ? b.a - mod : b.a); } bool operator!=(const mint &b) const { return (a >= mod ? a - mod : a) != (b.a >= mod ? b.a - mod : b.a); } mint operator-() const { return mint() - mint(*this); } mint pow(u64 n) const { mint ret(1), mul(*this); while (n > 0) { if (n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const mint &b) { return os << b.get(); } friend istream &operator>>(istream &is, mint &b) { int64_t t; is >> t; b = ArbitraryLazyMontgomeryModInt(t); return (is); } mint inverse() const { return pow(mod - 2); } u32 get() const { u32 ret = reduce(a); return ret >= mod ? ret - mod : ret; } static u32 get_mod() { return mod; } }; typename ArbitraryLazyMontgomeryModInt::u32 ArbitraryLazyMontgomeryModInt::mod;typename ArbitraryLazyMontgomeryModInt::u32 ArbitraryLazyMontgomeryModInt::r;typename ArbitraryLazyMontgomeryModInt::u32 ArbitraryLazyMontgomeryModInt::n2; struct montgomery64 { using mint = montgomery64; using i64 = int64_t; using u64 = uint64_t; using u128 = __uint128_t; static u64 mod; static u64 r; static u64 n2; static u64 get_r() { u64 ret = mod; for (i64 i = 0; i < 5; ++i) ret *= 2 - mod * ret; return ret; } static void set_mod(u64 m) { assert(m < (1LL << 62)); assert((m & 1) == 1); mod = m; n2 = -u128(m) % m; r = get_r(); assert(r * mod == 1); } u64 a; montgomery64() : a(0) {} montgomery64(const int64_t &b) : a(reduce((u128(b) + mod) * n2)){}; static u64 reduce(const u128 &b) { return (b + u128(u64(b) * u64(-r)) * mod) >> 64; } mint &operator+=(const mint &b) { if (i64(a += b.a - 2 * mod) < 0) a += 2 * mod; return *this; } mint &operator-=(const mint &b) { if (i64(a -= b.a) < 0) a += 2 * mod; return *this; } mint &operator*=(const mint &b) { a = reduce(u128(a) * b.a); return *this; } mint &operator/=(const mint &b) { *this *= b.inverse(); return *this; } mint operator+(const mint &b) const { return mint(*this) += b; } mint operator-(const mint &b) const { return mint(*this) -= b; } mint operator*(const mint &b) const { return mint(*this) *= b; } mint operator/(const mint &b) const { return mint(*this) /= b; } bool operator==(const mint &b) const { return (a >= mod ? a - mod : a) == (b.a >= mod ? b.a - mod : b.a); } bool operator!=(const mint &b) const { return (a >= mod ? a - mod : a) != (b.a >= mod ? b.a - mod : b.a); } mint operator-() const { return mint() - mint(*this); } mint pow(u128 n) const { mint ret(1), mul(*this); while (n > 0) { if (n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend ostream &operator<<(ostream &os, const mint &b) { return os << b.get(); } friend istream &operator>>(istream &is, mint &b) { int64_t t; is >> t; b = montgomery64(t); return (is); } mint inverse() const { return pow(mod - 2); } u64 get() const { u64 ret = reduce(a); return ret >= mod ? ret - mod : ret; } static u64 get_mod() { return mod; } }; typename montgomery64::u64 montgomery64::mod, montgomery64::r, montgomery64::n2; namespace fast_factorize { using u64 = uint64_t; template <typename mint> bool miller_rabin(u64 n, vector<u64> as) { if (mint::get_mod() != n) mint::set_mod(n); u64 d = n - 1; while (~d & 1) d >>= 1; mint e{1}, rev{int64_t(n - 1)}; for (u64 a : as) { if (n <= a) break; u64 t = d; mint y = mint(a).pow(t); while (t != n - 1 && y != e && y != rev) { y *= y; t *= 2; } if (y != rev && t % 2 == 0) return false; } return true; } bool is_prime(u64 n) { if (~n & 1) return n == 2; if (n <= 1) return false; if (n < (1LL << 30)) return miller_rabin<ArbitraryLazyMontgomeryModInt>(n, {2, 7, 61}); else return miller_rabin<montgomery64>( n, {2, 325, 9375, 28178, 450775, 9780504, 1795265022}); } template <typename mint, typename T> T pollard_rho(T n) { if (~n & 1) return 2; if (is_prime(n)) return n; if (mint::get_mod() != n) mint::set_mod(n); mint R, one = 1; auto f = [&](mint x) { return x * x + R; }; auto rnd_ = [&]() { return rng() % (n - 2) + 2; }; while (1) { mint x, y, ys, q = one; R = rnd_(), y = rnd_(); T g = 1; constexpr int m = 128; for (int r = 1; g == 1; r <<= 1) { x = y; for (int i = 0; i < r; ++i) y = f(y); for (int k = 0; g == 1 && k < r; k += m) { ys = y; for (int i = 0; i < m && i < r - k; ++i) q *= x - (y = f(y)); g = inner::gcd<T>(q.get(), n); } } if (g == n) do g = inner::gcd<T>((x - (ys = f(ys))).get(), n); while (g == 1); if (g != n) return g; } exit(1); } using i64 = long long; vector<i64> inner_factorize(u64 n) { if (n <= 1) return {}; u64 p; if (n <= (1LL << 30)) p = pollard_rho<ArbitraryLazyMontgomeryModInt, uint32_t>(n); else p = pollard_rho<montgomery64, uint64_t>(n); if (p == n) return {i64(p)}; auto l = inner_factorize(p); auto r = inner_factorize(n / p); copy(begin(r), end(r), back_inserter(l)); return l; } vector<i64> factorize(u64 n) { auto ret = inner_factorize(n); sort(begin(ret), end(ret)); return ret; } map<i64, i64> factor_count(u64 n) { map<i64, i64> mp; for (auto &x : factorize(n)) mp[x]++; return mp; } vector<i64> divisors(u64 n) { if (n == 0) return {}; vector<pair<i64, i64>> v; for (auto &p : factorize(n)) { if (v.empty() || v.back().first != p) { v.emplace_back(p, 1); } else { v.back().second++; } } vector<i64> ret; auto f = [&](auto rc, int i, i64 x) -> void { if (i == (int)v.size()) { ret.push_back(x); return; } for (int j = v[i].second;; --j) { rc(rc, i + 1, x); if (j == 0) break; x *= v[i].first; } }; f(f, 0, 1); sort(begin(ret), end(ret)); return ret; } } // namespace fast_factorize using fast_factorize::divisors;using fast_factorize::factor_count;using fast_factorize::factorize;using fast_factorize::is_prime; using namespace fast_factorize; struct Barrett { using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; u32 m; u64 im; Barrett() : m(), im() {} Barrett(int n) : m(n), im(u64(-1) / m + 1) {} constexpr inline i64 quo(u64 n) { u64 x = u64((__uint128_t(n) * im) >> 64); u32 r = n - x * m; return m <= r ? x - 1 : x; } constexpr inline i64 rem(u64 n) { u64 x = u64((__uint128_t(n) * im) >> 64); u32 r = n - x * m; return m <= r ? r + m : r; } constexpr inline pair<i64, int> quorem(u64 n) { u64 x = u64((__uint128_t(n) * im) >> 64); u32 r = n - x * m; if (m <= r) return {x - 1, r + m}; return {x, r}; } constexpr inline i64 pow(u64 n, i64 p) { u32 a = rem(n), r = m == 1 ? 0 : 1; while (p) { if (p & 1) r = rem(u64(r) * a); a = rem(u64(a) * a); p >>= 1; } return r; } }; struct prime_power_binomial { int p, q, M; vector<int> fac, ifac, inv; int delta; Barrett bm, bp; prime_power_binomial(int _p, int _q) : p(_p), q(_q) { assert(1 < p && p <= ((1LL << 30) - 1)); assert(_q > 0); long long m = 1; while (_q--) { m *= p; assert(m <=((1LL << 30) - 1)); } M = m; bm = Barrett(M), bp = Barrett(p); enumerate(); delta = (p == 2 && q >= 3) ? 1 : M - 1; } void enumerate() { int MX = min<int>(M, 20000000 + 10); fac.resize(MX); ifac.resize(MX); inv.resize(MX); fac[0] = ifac[0] = inv[0] = 1; fac[1] = ifac[1] = inv[1] = 1; for (int i = 2; i < MX; i++) { if (i % p == 0) { fac[i] = fac[i - 1]; fac[i + 1] = bm.rem(1LL * fac[i - 1] * (i + 1)); i++; } else { fac[i] = bm.rem(1LL * fac[i - 1] * i); } } ifac[MX - 1] = bm.pow(fac[MX - 1], M / p * (p - 1) - 1); for (int i = MX - 2; i > 1; --i) { if (i % p == 0) { ifac[i] = bm.rem(1LL * ifac[i + 1] * (i + 1)); ifac[i - 1] = ifac[i]; i--; } else { ifac[i] = bm.rem(1LL * ifac[i + 1] * (i + 1)); } } } long long Lucas(long long n, long long m) { int res = 1; while (n) { int n0, m0; tie(n, n0) = bp.quorem(n); tie(m, m0) = bp.quorem(m); if (n0 < m0) return 0; res = bm.rem(1LL * res * fac[n0]); int buf = bm.rem(1LL * ifac[n0 - m0] * ifac[m0]); res = bm.rem(1LL * res * buf); } return res; } long long C(long long n, long long m) { if (n < m || n < 0 || m < 0) return 0; if (q == 1) return Lucas(n, m); long long r = n - m; int e0 = 0, eq = 0, i = 0; int res = 1; while (n) { res = bm.rem(1LL * res * fac[bm.rem(n)]); res = bm.rem(1LL * res * ifac[bm.rem(m)]); res = bm.rem(1LL * res * ifac[bm.rem(r)]); n = bp.quo(n); m = bp.quo(m); r = bp.quo(r); int eps = n - m - r; e0 += eps; if (e0 >= q) return 0; if (++i >= q) eq += eps; } if (eq & 1) res = bm.rem(1LL * res * delta); res = bm.rem(1LL * res * bm.pow(p, e0)); return res; } }; struct binomial_mod { int mod; vector<int> M; vector<prime_power_binomial> cs; binomial_mod(long long md) : mod(md) { assert(1 <= md); assert(md <= ((1LL << 30) - 1)); for (int i = 2; i * i <= md; i++) { if (md % i == 0) { int j = 0, k = 1; while (md % i == 0) md /= i, j++, k *= i; M.push_back(k); cs.emplace_back(i, j); assert(M.back() == cs.back().M); } } if (md != 1) { M.push_back(md); cs.emplace_back(md, 1); } assert(M.size() == cs.size()); } long long binom(long long n, long long m) { if (mod == 1) return 0; vector<long long> rem, d; for (int i = 0; i < (int)cs.size(); i++) { rem.push_back(cs[i].C(n, m)); d.push_back(M[i]); } return atcoder::crt(rem, d).first; } }; #define is_prime(x) is_prime_constexpr(x) //FPS!! ll modPow(ll a, ll n, ll mod) { ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; } ll modsqrt(ll a,ll mod){ if(mod==2||a==0) return a; if(modPow(a,(mod-1)/2,mod)!=1) return -1; if(mod%4==3) return modPow(a,(mod+1)/4,mod); ll q=mod-1; ll s=0; while(q%2==0){ q/=2; s++; } ll z=1; random_device rnd; while(modPow(z=rnd()%mod,(mod-1)/2,mod)!=mod-1); ll c=modPow(z,q,mod),t=modPow(a,q,mod),r=modPow(a,(q+1)/2,mod),m=s; while(m>1){ if(modPow(t,1<<(m-2),mod)==1){ c*=c; c%=mod; m--; } else{ tie(c,t,r,m)=make_tuple(c*c%mod,c*c%mod*t%mod,c*r%mod,m-1); } } return r%mod; } template<class T> struct FormalPowerSeries:vector<T>{ using vector<T>::vector; using vector<T>::operator=; using F = FormalPowerSeries; F operator-() const{ F res(*this); for(auto &e:res) e=-e; return res; } F &operator*=(const T &g){ for(auto &e:*this) e*=g; return *this; } F &operator/=(const T &g){ assert(g!=T(0)); *this*=g.inv(); return *this; } F &operator+=(const F &g){ int n=(*this).size(),m=g.size(); for(int i=0;i<min(n,m);i++){ (*this)[i]+=g[i]; } return *this; } F &operator-=(const F &g){ int n=(*this).size(),m=g.size(); for(int i=0;i<min(n,m);i++){ (*this)[i]-=g[i]; } return *this; } F &operator<<=(const int d) { int n=(*this).size(); (*this).insert((*this).begin(),d,0); (*this).resize(n); return *this; } F &operator>>=(const int d) { int n=(*this).size(); (*this).erase((*this).begin(),(*this).begin()+min(n, d)); (*this).resize(n); return *this; } F inv(int d=-1) const{ int n=(*this).size(); assert(n!=0&&(*this)[0]!=0); if(d==-1) d=n; assert(d>0); F res{(*this)[0].inv()}; while(res.size()<d){ int m=size(res); F f(begin(*this),begin(*this)+min(n,2*m)); F r(res); f.resize(2*m); r.resize(2*m); vector<T> s=convolution(f,r); s.resize(2*m); for(int i=0;i<2*m;i++){ s[i]=-s[i]; } s[0]+=2; vector<T> g=convolution(s,r); g.resize(2*m); res=g; } res.resize(n); return res; } F &operator*=(const F &g){ int n=(*this).size(); *this=convolution(*this,g); (*this).resize(n); return (*this); } F &operator/=(const F &g){ int n=(*this).size(); *this=convolution(*this,g.inv()); (*this).resize(n); return (*this); } void onemultiply(const int d,const T c){ int n=(*this).size(); for(int i=n-d-1;i>=0;i--){ (*this)[i+d]+=(*this)[i]*c; } } void onediv(const int d,const T c){ int n=(*this).size(); for(int i=n-d-1;i>=0;i--){ (*this)[i+d]-=(*this)[i]*c; } } T eval(const T &a) const { T x(1),res(0); for(auto e:*this) res+=e*x,x*=a; return res; } F differential() const { int n=(*this).size(); F res(n); for(int i=0;i<n-1;i++){ res[i]=T(i+1)*(*this)[i+1]; } res[n-1]=0; return res; } F Integral() const { int n=(*this).size(); F res(n); for(int i=1;i<n;i++){ res[i]=(*this)[i-1]/T(i); } res[0]=0; return res; } F log() const{ assert((*this)[0]==1); int n=(*this).size(); F u=(*this).differential(); F d=(*this); u/=d; u=u.Integral(); u.resize(n); return u; } F exp(ll d=-1) const{ ll n=(*this).size(); assert(n!=0&&(*this)[0]==0); if(d==-1) d=n; assert(d>0); F res{1}; while(res.size()<d){ ll m=size(res); F f(begin(*this),begin(*this)+min(n,2*m)); F r(res); f.resize(2*m); r.resize(2*m); r=r.log(); f-=r; f[0]++; F g=f*res; g.resize(2*m); res=g; } res.resize(n); return res; } F pow(ll a){ ll n=(*this).size(); F res(n); for(ll i=0;i<n;i++){ res[i]=(*this)[i]; } if(a==0){ F s(n); if(n>0){ s[0]=T(1); } for(ll i=0;i<n;i++){ res[i]=s[i]; } return res; } int l=0; while(l<n&&res[l]==0) l++; if(l>(n-1)/a||l==n){ F s(n); for(ll i=0;i<n;i++){ res[i]=s[i]; } return res; } T t=res[l]; res.erase(res.begin(),res.begin()+l); res/=t; F g=res.log(); for(ll i=0;i<n;i++){ res[i]=g[i]; } res*=a; g=res.exp(); for(ll i=0;i<n;i++){ res[i]=g[i]; } res*=t.pow(a); res.insert(res.begin(),l*a,0); return res; } F sqrt(int k=-1){ int n=(*this).size(); if(k==-1){ k=n; } ll m=T::mod(); if((*this)[0]==T(0)){ for(int i=1;i<int((*this).size());i++){ if((*this)[i]!=T(0)){ if(i&1) return {}; if(n-i/2<=0)break; auto ret=(*this>>i).sqrt(n-i/2)<<(i/2); if(int(ret.size())<n) return {}; return ret; } } F g(n); for(int i=0;i<n;i++){ g[i]=0; } return g; } else{ if(modsqrt((*this)[0].val(),m)==-1){ return {}; } F ret{T(modsqrt((*this)[0].val(),m))}; for(int i=1;i<n;i<<=1){ ret.resize(2*i); ret=(ret+(*this)/ret); ret/=T(2); } return ret; } } pair<F,F> division(F g){ F f=(*this); int n=f.size(); int m=g.size(); if(n<m){ F p(0); return {p,f}; } F p(n-m+1),q(n-m+1); for(int i=0;i<n-m+1;i++) p[i]=f[n-i-1]; for(int i=0;i<n-m+1&&i<m;i++) q[i]=g[m-i-1]; p/=q; for(int i=0;i<(n-m+1)/2;i++) swap(p[i],p[(n-m+1)-i-1]); g.resize(n); g*=p; for(int i=0;i<n;i++) f[i]-=g[i]; int v=n-m+1,u=0; for(int i=0;i<n;i++) if(f[i].val()) chmax(u,i+1); p.resize(v); f.resize(u); return {p,f}; } F operator*(const T &g) const { return F(*this)*=g;} F operator-(const T &g) const { return F(*this)-=g;} F operator*(const F &g) const { return F(*this)*=g;} F operator-(const F &g) const { return F(*this)-=g;} F operator+(const F &g) const { return F(*this)+=g;} F operator/(const F &g) const { return F(*this)/=g;} F operator<<(const int d) const { return F(*this)<<=d;} F operator>>(const int d) const { return F(*this)>>=d;} }; using fps = FormalPowerSeries<mint>; fps partition(ll N) { fps po(N + 1); po[0] = 1; rrep(k,N+1){ if(1LL * k * (3 * k + 1) / 2 <= N) po[k * (3 * k + 1) / 2] += (k % 2 ? -1 : 1); if(1LL * k * (3 * k - 1) / 2 <= N) po[k * (3 * k - 1) / 2] += (k % 2 ? -1 : 1); } return po.inv(); } int main(){ ll n; cin>>n; vec a(n); cinv(a,n); ll ans=0; vec res; ll cnt=1; rep(i,n-1){ if(abs(a[i]-a[i+1])==1){cnt++;} else{res.pb(cnt);cnt=0;} } res.pb(cnt); for(auto e:res){ if(e==1){} else{ ans+=e*(e-1)/2; } } cout<<ans<<endl; }