#710956 (C++17) No.924 紲星

• 問題: No.924 紲星
• ユーザー: hamray
• 提出日時: 2021-10-29 17:23:57
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 3,061 ms / 4,000 ms
• コード長: 16,376 bytes
• コンパイル時間: 3,063 ms
• コンパイル使用メモリ: 214,080 KB
• 最終ジャッジ日時: 2025-01-25 08:12:43
• ジャッジサーバーID （参考情報）: judge2 / judge3

ファイルパターン	結果
sample	AC * 3
other	AC * 16

ソースコード

#include <bits/stdc++.h>
//#include <atcoder/all>
//using namespace atcoder;
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
using namespace std;
 
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef pair<int, int> pii;
typedef pair<long long, long long> PLL;
typedef pair<int, PII> TIII;
 
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
 
 
#define FOR(i, s, n) for (int i = s; i < (int)n; ++i)
#define REP(i, n) FOR(i, 0, n)
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto &a : x)
#define all(x) x.begin(), x.end()
 
#define MOD 1000000007
 
template<class T1, class T2> inline bool chmax(T1 &a, T2 b) {if (a < b) {a = b; return true;} return false;}
template<class T1, class T2> inline bool chmin(T1 &a, T2 b) {if (a > b) {a = b; return true;} return false;}
const double EPS = 1e-8, PI = acos(-1);
const double pi = 3.141592653589793238462643383279;
//ここから編集    
typedef string::const_iterator State;
ll GCD(ll a, ll b){
  return (b==0)?a:GCD(b, a%b);
}
ll LCM(ll a, ll b){
  return a/GCD(a, b) * b;
}
template< int mod >
struct ModInt {
  int x;
 
  ModInt() : x(0) {}
 
  ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
 
  ModInt &operator+=(const ModInt &p) {
    if((x += p.x) >= mod) x -= mod;
    return *this;
  }
 
  ModInt &operator-=(const ModInt &p) {
    if((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }
 
  ModInt &operator*=(const ModInt &p) {
    x = (int) (1LL * x * p.x % mod);
    return *this;
  }
 
  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }
 
  ModInt operator-() const { return ModInt(-x); }
 
  ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
 
  ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
 
  ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
 
  ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
 
  bool operator==(const ModInt &p) const { return x == p.x; }
 
  bool operator!=(const ModInt &p) const { return x != p.x; }
 
  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while(b > 0) {
      t = a / b;
      swap(a -= t * b, b);
      swap(u -= t * v, v);
    }
    return ModInt(u);
  }
 
  ModInt pow(int64_t n) const {
    ModInt ret(1), mul(x);
    while(n > 0) {
      if(n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }
 
  friend ostream &operator<<(ostream &os, const ModInt &p) {
    return os << p.x;
  }
 
  friend istream &operator>>(istream &is, ModInt &a) {
    int64_t t;
    is >> t;
    a = ModInt< mod >(t);
    return (is);
  }
 
  static int get_mod() { return mod; }
};
 
using modint = ModInt< 998244353 >;
template< typename T >
struct Combination {
  vector< T > _fact, _rfact, _inv;
 
  Combination(int sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) {
    _fact[0] = _rfact[sz] = _inv[0] = 1;
    for(int i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i;
    _rfact[sz] /= _fact[sz];
    for(int i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1);
    for(int i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1];
  }
 
  inline T fact(int k) const { return _fact[k]; }
 
  inline T rfact(int k) const { return _rfact[k]; }
 
  inline T inv(int k) const { return _inv[k]; }
 
  T P(int n, int r) const {
    if(r < 0 || n < r) return 0;
    return fact(n) * rfact(n - r);
  }
 
  T C(int p, int q) const {
    if(q < 0 || p < q) return 0;
    return fact(p) * rfact(q) * rfact(p - q);
  }
 
  T H(int n, int r) const {
    if(n < 0 || r < 0) return (0);
    return r == 0 ? 1 : C(n + r - 1, r);
  }
};
 
ll modpow(ll x, ll n, ll mod) {
  ll res = 1;
  x %= mod;
  if(x == 0) return 0;
  while(n) {
    if(n&1) res = (res * x) % mod;
    x = (x * x) % mod;
    n >>= 1;
  }
  return res;
} 
inline long long mod(long long a, long long m) {
    return (a % m + m) % m;
}
template<typename T> 
struct BIT{
  int N;
  std::vector<T> node;
  BIT(){}
  BIT(int n){
    N = n;
    node.resize(N+10);
  }
  void build(int n) {
    N = n;
    node.resize(N+10);
  }
  /* a: 1-indexed */
  void add(int a, T x){
    for(int i=a; i<(int)node.size(); i += i & -i) node[i] += x;
  }

  /* [1, a] */
  T sum(int a){
    T res = 0;
    for(int x=a; x>0; x -= x & -x) res += node[x];
    return res;
  }

  /* [l, r] */
  T rangesum(int l, int r){
    return sum(r) - sum(l-1);
  }

  /* 
    a1+a2+...+aw >= valとなるような最小のwを返す
    @verify https://codeforces.com/contest/992/problem/E
  */
  int lower_bound(T val) {
    if(val < 0) return 0;

    int res = 0;
    int n = 1; 
    while (n < N) n *= 2;

    T tv=0;
    for (int k = n; k > 0; k /= 2) {
      if(res + k < N && node[res + k] < val){
        val -= node[res+k];
        res += k;
      }
    }
    return res+1; 
  }
};

struct UnionFind{
  std::vector<int> par;
  std::vector<int> siz;

  UnionFind(int sz_): par(sz_), siz(sz_) {
    for(int i=0; i<sz_; ++i) par[i] = i, siz[i] = 1;
  }

  void init(int sz_){
    par.resize(sz_);
    siz.resize(sz_);
    for(int i=0; i<sz_; ++i) par[i] = i, siz[i] = 1;
  }

  int root(int x){
    if(x == par[x]) return x;
    return par[x] = root(par[x]);
  }

  bool merge(int x, int y){
    x = root(x), y = root(y);
    if(x == y) return false;
    if(siz[x] < siz[y]) std::swap(x, y);
    siz[x] += siz[y];
    par[y] = x;
    return true;
  }

  bool issame(int x, int y){
    return root(x) == root(y);
  }

  int size(int x){
    return siz[root(x)];
  }
};
struct RollingHash{

    using ull = unsigned long long;
    const ull mod = (1ULL << 61) - 1;
    const ull MASK30 = (1ULL << 30) - 1;
    const ull MASK31 = (1ULL << 31) - 1;

    const ull MASK61 = mod;

    ull base;
    int n;
    vector<ull> hash, pow;

    RollingHash(const string &s)
    {
        random_device rnd;
        mt19937_64 mt(rnd());
        base = 1001;
        
        n = (int)s.size();
        hash.assign(n+1, 0);
        pow.assign(n+1, 1);
        
        for(int i=0; i<n; i++){
            hash[i+1] = calc_mod(mul(hash[i], base) + s[i]);
            pow[i+1] = calc_mod(mul(pow[i], base));
        }
    }

    ull calc_mod(ull x){
        ull xu = x >> 61;
        ull xd = x & MASK61;
        ull res = xu + xd;
        if(res >= mod) res -= mod;
        return res;
    }

    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 calc_mod(au * bu * 2 + midu + (midd << 31) + ad * bd);
    }

    //[l,r)のハッシュ値
    inline ull get(int l, int r){
        ull res = calc_mod(hash[r] + mod*3-mul(hash[l], pow[r-l]));
        return res;
    }
    //string tのハッシュ値
    inline ull get(string t){
        ull res = 0;
        for(int i=0; i<t.size(); i++){
            res = calc_mod(mul(res, base)+t[i]);
        }
        return res;
    }
    //string s中のtの数をカウント
    inline int count(string t) {
        if(t.size() > n) return 0;
        auto hs = get(t);
        int res = 0;
        for(int i=0; i<n-t.size()+1; i++){
            if(get(i, i+t.size()) == hs) res++; 
        }
        return res;
    }

    /* 
        concat 
        @verify https://codeforces.com/problemset/problem/514/C
    */
    inline ull concat(ull h1, ull h2, int h2len){
      return calc_mod(h2 + mul(h1, pow[h2len]));
    }

    // LCPを求める S[a:] T[b:]
    inline int LCP(int a, int b){
        int len = min((int)hash.size()-a, (int)hash.size()-b);
        
        int lb = -1, ub = len;
        while(ub-lb>1){
            int mid = (lb+ub)/2;

            if(get(a, a+mid) == get(b, b+mid)) lb = mid;
            else ub = mid;
        }
        return lb;
    }
};
/* offsetがでかすぎるとshiftで死ぬ */
struct WaveletMatrix {
  struct BitVector{
    // 大ブロックを 256, 小ブロックを8としておく

    const uint64_t BLOCK_BITNUM = 256;
    const uint64_t TABLE_INTERVAL = 8;

    const uint64_t NOT_FOUND = 0xFFFFFFFFFFFFFFFFLLU; /* selectで使う */

    uint64_t length;
    vector<uint64_t> bits; /* 元のbit列を圧縮したもの */
    vector<uint32_t> blocks; /* 1つ目の補助データに該当するもの */
    vector<uint64_t> tables; /* 2つ目の補助データに該当するもの */

    BitVector() : length(0){}
    BitVector(uint64_t N){
      init(N);
    }
    void init(uint64_t N) {
      length = N;
      uint64_t block_num = (N + BLOCK_BITNUM - 1) / (BLOCK_BITNUM);
      blocks.assign(block_num+1,0); 

      uint64_t bits_len = (N + TABLE_INTERVAL - 1) / (TABLE_INTERVAL);
      bits.assign(bits_len+1,0);
      tables.assign(bits_len+1,0);

      //cerr << blocks.size() << " " << bits.size() << endl;      
    }

    void build(){
      uint64_t block_ind, offset, table_ind, sz = (length + BLOCK_BITNUM - 1) / (BLOCK_BITNUM);
      blocks[0] = 0;
      for(block_ind=0; block_ind < sz; block_ind++){
        tables[block_ind * BLOCK_BITNUM / TABLE_INTERVAL] = 0;
        table_ind = (block_ind * BLOCK_BITNUM) / TABLE_INTERVAL;
        for(offset=0; offset<BLOCK_BITNUM && table_ind+1 < tables.size() ; offset+=TABLE_INTERVAL){
          /* 現在見る位置はblock_ind * BLOCK_BITNUM + offset */
          tables[table_ind + 1] = tables[table_ind] + __builtin_popcountll(bits[table_ind]);
          table_ind++;  
        }
        blocks[block_ind + 1] = blocks[block_ind] + tables[table_ind];
      }
      if(block_ind * BLOCK_BITNUM / TABLE_INTERVAL < tables.size())
        tables[block_ind * BLOCK_BITNUM / TABLE_INTERVAL] = 0;
      
    }

    void set(uint64_t b, uint64_t pos){
      assert(pos >= 0 && pos < length);
      uint64_t block_ind = pos / TABLE_INTERVAL;
      uint64_t offset = pos % TABLE_INTERVAL;

      if(b == 1) bits[block_ind] |= (1UL << offset);
      else bits[block_ind] &= ~(1UL << offset);
    }

    int access(uint64_t pos){
      assert(pos >= 0 && pos < length);
      uint64_t block_ind = pos / TABLE_INTERVAL;
      uint64_t offset = pos % TABLE_INTERVAL;

      return (bits[block_ind] >> offset) & 1;
    }

    /* [0,pos)の1の数 */
    uint64_t rank(uint64_t bit, uint64_t pos){
      uint64_t block_ind = pos / BLOCK_BITNUM;
      uint64_t table_ind = pos / TABLE_INTERVAL;

      uint64_t offset = pos % TABLE_INTERVAL;
      uint64_t m = (bits[table_ind] & ((1UL << offset) - 1));
      
      return bit ? blocks[block_ind] + tables[table_ind] + __builtin_popcountll(m) : pos - rank(1,pos);
    }
    
    uint64_t rank(uint64_t bit, uint64_t l, uint64_t r){
      return rank(bit, r) - rank(bit, l); 
    }

  };
  
  uint64_t length;
  uint64_t height;
  uint64_t sigma;
  vector<BitVector> B; /* 各高さの索引 */
  vector<uint64_t> zerosum; /* 各高さにおける0の数 */
  vector<vector<uint64_t>> cums;
  WaveletMatrix(){}
  WaveletMatrix(vector<uint64_t> v, uint64_t _sigma) :length(v.size()), sigma(_sigma) {
    height = (sigma == 1) ? 1 : (64 - __builtin_clzll(sigma-1));
    B.resize(height); zerosum.resize(height), cums.resize(height+1);

    for(int i=0; i<height; i++){
      B[i].init(v.size());
      cums[i].resize(v.size()+1);
      vector<uint64_t> v0, v1;
      for(int j=0; j<v.size(); j++){
        int bi_j = (v[j] >> (height - 1 - i)) & 1;
        B[i].set(bi_j, j);
        if(bi_j == 0) v0.emplace_back(v[j]);
        else v1.emplace_back(v[j]);

        cums[i][j+1] = cums[i][j] + v[j];
      } 
      zerosum[i] = v0.size();
      for(int j=0; j<v1.size(); j++) v0.emplace_back(v1[j]);
      B[i].build();
      // for(int j=0; j<v.size(); j++) cout << B[i].access(j);
      // cout << endl;
      // for(int j=0; j<v.size(); j++) cout << v[j] << " ";
      // cout << endl;
      v = move(v0); 
    }
    cums[height].resize(v.size()+1);
    for(int i=0; i<v.size(); i++) cums[height][i+1] = cums[height][i] + v[i];
  }

  int access(int pos){
    assert(pos >= 0 && pos < length);
    
    uint64_t res = 0;
    for(int i=0; i<height; i++){
      int bit = B[i].access(pos);
      //cout << bit << endl;
      if(bit) res |= (1UL << (height - 1 - i));

      pos = B[i].rank(bit, pos);
      
      if(bit) pos += zerosum[i];
    }
    return res;
  }
  /* [0,r)のcの数 */
  int rank(uint64_t c, int r){
    
    if(c >= sigma) return 0;
    int l = 0;
    for(int i=0; i<height; i++){
      int bit = ((c >> (height - 1 - i)) & 1);
      l = (bit?zerosum[i]:0) + B[i].rank(bit, l);
      r = (bit?zerosum[i]:0) + B[i].rank(bit, r);
    }
    return r-l;
  }
  /* [l, r)のcの数 */
  int rank(uint64_t c, int l, int r){
    if(c >= sigma) return 0;
    for(int i=0; i<height; i++){
      int bit = ((c >> (height - 1 - i)) & 1);
      l = (bit?zerosum[i]:0) + B[i].rank(bit, l);
      r = (bit?zerosum[i]:0) + B[i].rank(bit, r);
    }
    return r-l;
  }

  /* [l, r)でk(=0,1,...,r-l-1)番目に小さい値を返す */
  /* verify:https://old.yosupo.jp/problem/range_kth_smallest*/
  uint64_t kth_smallest(int l, int r, int k) {
    uint64_t res = 0;
    for(int i=0; i<height; i++){
      int num = B[i].rank(0, l, r);
      if(k < num){
        l = B[i].rank(0, l);
        r = B[i].rank(0, r);
      }else{
        l = zerosum[i] + B[i].rank(1, l);
        r = zerosum[i] + B[i].rank(1, r);
        k -= num;
        res |= (1UL << (height - 1 - i));
      }
    }
    return res;
  }

  uint64_t kth_largest(int l, int r, int k){
    return kth_smallest(l, r, r-l-k-1);
  }

  /* [l, r)中でx未満の要素の数を返す */
  
  uint64_t rank_lower(int l, int r, uint64_t x){
    uint64_t res = 0;
    for(int i=0; i<height; i++){
      int bit = (x >> (height - 1 - i) & 1);
      if(bit == 0){
        l = B[i].rank(0, l);
        r = B[i].rank(0, r);
      }else{
        res += B[i].rank(0, l, r);
        l = zerosum[i] + B[i].rank(1, l);
        r = zerosum[i] + B[i].rank(1, r);
      }
    }
    return res;
  }

  /* [l, r)中でx以上y未満の要素の数を返す */
  /* verify:https://codeforces.com/contest/1042/problem/D */
  uint64_t range_freq(int l, int r, uint64_t x, uint64_t y) {
    return rank_lower(l, r, y) - rank_lower(l, r, x);
  }

  /* [l, r)中でx未満の要素の和を返す */
  uint64_t rank_lower_sum(int l, int r, uint64_t x){
    uint64_t res = 0;
    for(int i=0; i<height; i++){
      int bit = (x >> (height - 1 - i) & 1);
      if(bit == 0){
        l = B[i].rank(0, l);
        r = B[i].rank(0, r);
      }else{
        res += cums[i+1][B[i].rank(0, r)] - cums[i+1][B[i].rank(0, l)];
        l = zerosum[i] + B[i].rank(1, l);
        r = zerosum[i] + B[i].rank(1, r);
      }
    }
    return res;
  }
  /* [l, r)中でx以上y未満の要素の和を返す */
  /* verify:https://yukicoder.me/submissions/599066*/
  uint64_t range_sum(int l, int r, uint64_t x, uint64_t y) {
    return rank_lower_sum(l, r, y) - rank_lower_sum(l, r, x);
    
  }

  /* [l, r)中でv < xを満たす最大のvを返す */
  /* verify:http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=1549*/
  uint64_t prev_value(int l, int r, uint64_t x) {
    uint64_t cnt = rank_lower(l, r, x);
    return cnt == 0 ? 1e9 : kth_smallest(l, r, cnt - 1);
  }

  /* [l, r)中でx <= vを満たす最小のvを返す */
  /* verify:http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=1549*/
  uint64_t next_value(int l, int r, uint64_t x) {
    uint64_t cnt = rank_lower(l, r, x);
    return cnt == r-l ? 1e9 : kth_smallest(l, r, cnt);
  }


};

int main() {  
  cin.tie(0);
  ios::sync_with_stdio(false);
  cout << fixed << setprecision(12);
  
  int n, q; cin >> n >> q;
  vector<ll> v;
  vector<uint64_t> a(n);
  REP(i,n) {
    ll t; cin >> t;
    t += 1e9;
    a[i] = t;
  }

  WaveletMatrix wm(a, (uint64_t)2e9+1);

  while(q--) {
    int l, r; cin >> l >> r;
    l--;
    
    ll num = wm.kth_smallest(l, r, (r-l)/2);
    ll sum1 = wm.rank_lower_sum(l, r, num);
    ll sum2 = wm.range_sum(l, r, num+1, 2e9+1);
    ll kosu1 = wm.range_freq(l, r, 0, num);
    ll kosu2 = wm.range_freq(l, r, num+1, 2e9+1);

    ll t = num-1e9;
    sum1 -= kosu1 * 1e9;
    sum2 -= kosu2 * 1e9;
    cout << t * kosu1 - sum1 + sum2 - t * kosu2 << '\n';
  }
  return 0;
}