#629217 (C++17) No.1099 Range Square Sum

• 問題: No.1099 Range Square Sum
• ユーザー: saxofone111
• 提出日時: 2021-03-13 12:14:08
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 288 ms / 2,000 ms
• コード長: 5,547 bytes
• コンパイル時間: 2,245 ms
• コンパイル使用メモリ: 208,556 KB
• 実行使用メモリ: 22,288 KB
• 最終ジャッジ日時: 2024-10-15 04:51:24
• 合計ジャッジ時間: 7,687 ms
• ジャッジサーバーID （参考情報）: judge5 / judge4

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	AC	2 ms; 5,248 KB
testcase_03	AC	2 ms; 5,248 KB
testcase_04	AC	2 ms; 5,248 KB
testcase_05	AC	2 ms; 5,248 KB
testcase_06	AC	1 ms; 5,248 KB
testcase_07	AC	2 ms; 5,248 KB
testcase_08	AC	2 ms; 5,248 KB
testcase_09	AC	2 ms; 5,248 KB
testcase_10	AC	2 ms; 5,248 KB
testcase_11	AC	4 ms; 5,248 KB
testcase_12	AC	4 ms; 5,248 KB
testcase_13	AC	4 ms; 5,248 KB
testcase_14	AC	4 ms; 5,248 KB
testcase_15	AC	4 ms; 5,248 KB
testcase_16	AC	3 ms; 5,248 KB
testcase_17	AC	3 ms; 5,248 KB
testcase_18	AC	4 ms; 5,248 KB
testcase_19	AC	3 ms; 5,248 KB
testcase_20	AC	4 ms; 5,248 KB
testcase_21	AC	288 ms; 22,272 KB
testcase_22	AC	268 ms; 22,272 KB
testcase_23	AC	280 ms; 22,272 KB
testcase_24	AC	278 ms; 22,216 KB
testcase_25	AC	282 ms; 22,196 KB
testcase_26	AC	246 ms; 22,232 KB
testcase_27	AC	254 ms; 22,228 KB
testcase_28	AC	249 ms; 22,252 KB
testcase_29	AC	249 ms; 22,288 KB
testcase_30	AC	255 ms; 22,228 KB

ソースコード

#include "bits/stdc++.h"

#define MOD 1000000007
#define rep(i, n) for(ll i=0; i < (n); i++)
#define rrep(i, n) for(ll i=(n)-1; i >=0; i--)
#define ALL(v) v.begin(),v.end()
#define rALL(v) v.rbegin(),v.rend()
#define FOR(i, j, k) for(ll i=j;i<k;i++)
#define debug_print(var) cerr << #var << "=" << var <<endl;
#define DUMP(i, v)for(ll i=0;i<v.size();i++)cerr<<v[i]<<" "
#define fi first
#define se second

using namespace std;
typedef long long int ll;
typedef vector<ll> llvec;
typedef vector<double> dvec;
typedef pair<ll, ll> P;
typedef long double ld;
struct edge{ll x, c;};

template <class S,
          S (*op)(S, S),
          S (*e)(),
          class F,
          S (*mapping)(F, S),
          F (*composition)(F, F),
          F (*id)()>
struct lazy_segtree {
public:
  int ceil_pow2(int n) {
    int x = 0;
    while ((1U << x) < (unsigned int)(n)) x++;
    return x;
  }
  lazy_segtree() : lazy_segtree(0) {}
  lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
  lazy_segtree(const std::vector<S>& v) : _n(int(v.size())) {
    log = ceil_pow2(_n);
    size = 1 << log;
    d = std::vector<S>(2 * size, e());
    lz = std::vector<F>(size, id());
    for (int i = 0; i < _n; i++) d[size + i] = v[i];
    for (int i = size - 1; i >= 1; i--) {
      update(i);
    }
  }

  void set(int p, S x) {
    assert(0 <= p && p < _n);
    p += size;
    for (int i = log; i >= 1; i--) push(p >> i);
    d[p] = x;
    for (int i = 1; i <= log; i++) update(p >> i);
  }

  S get(int p) {
    assert(0 <= p && p < _n);
    p += size;
    for (int i = log; i >= 1; i--) push(p >> i);
    return d[p];
  }

  S prod(int l, int r) {
    assert(0 <= l && l <= r && r <= _n);
    if (l == r) return e();

    l += size;
    r += size;

    for (int i = log; i >= 1; i--) {
      if (((l >> i) << i) != l) push(l >> i);
      if (((r >> i) << i) != r) push(r >> i);
    }

    S sml = e(), smr = e();
    while (l < r) {
      if (l & 1) sml = op(sml, d[l++]);
      if (r & 1) smr = op(d[--r], smr);
      l >>= 1;
      r >>= 1;
    }

    return op(sml, smr);
  }

  S all_prod() { return d[1]; }

  void apply(int p, F f) {
    assert(0 <= p && p < _n);
    p += size;
    for (int i = log; i >= 1; i--) push(p >> i);
    d[p] = mapping(f, d[p]);
    for (int i = 1; i <= log; i++) update(p >> i);
  }

  void apply(int l, int r, F f) {
    assert(0 <= l && l <= r && r <= _n);
    if (l == r) return;

    l += size;
    r += size;

    for (int i = log; i >= 1; i--) {
      if (((l >> i) << i) != l) push(l >> i);
      if (((r >> i) << i) != r) push((r - 1) >> i);
    }

    {
      int l2 = l, r2 = r;
      while (l < r) {
        if (l & 1) all_apply(l++, f);
        if (r & 1) all_apply(--r, f);
        l >>= 1;
        r >>= 1;
      }
      l = l2;
      r = r2;
    }

    for (int i = 1; i <= log; i++) {
      if (((l >> i) << i) != l) update(l >> i);
      if (((r >> i) << i) != r) update((r - 1) >> i);
    }
  }

  template <bool (*g)(S)> int max_right(int l) {
    return max_right(l, [](S x) { return g(x); });
  }
  template <class G> int max_right(int l, G g) {
    assert(0 <= l && l <= _n);
    assert(g(e()));
    if (l == _n) return _n;
    l += size;
    for (int i = log; i >= 1; i--) push(l >> i);
    S sm = e();
    do {
      while (l % 2 == 0) l >>= 1;
      if (!g(op(sm, d[l]))) {
        while (l < size) {
          push(l);
          l = (2 * l);
          if (g(op(sm, d[l]))) {
            sm = op(sm, d[l]);
            l++;
          }
        }
        return l - size;
      }
      sm = op(sm, d[l]);
      l++;
    } while ((l & -l) != l);
    return _n;
  }

  template <bool (*g)(S)> int min_left(int r) {
    return min_left(r, [](S x) { return g(x); });
  }
  template <class G> int min_left(int r, G g) {
    assert(0 <= r && r <= _n);
    assert(g(e()));
    if (r == 0) return 0;
    r += size;
    for (int i = log; i >= 1; i--) push((r - 1) >> i);
    S sm = e();
    do {
      r--;
      while (r > 1 && (r % 2)) r >>= 1;
      if (!g(op(d[r], sm))) {
        while (r < size) {
          push(r);
          r = (2 * r + 1);
          if (g(op(d[r], sm))) {
            sm = op(d[r], sm);
            r--;
          }
        }
        return r + 1 - size;
      }
      sm = op(d[r], sm);
    } while ((r & -r) != r);
    return 0;
  }

private:
  int _n, size, log;
  std::vector<S> d;
  std::vector<F> lz;

  void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
  void all_apply(int k, F f) {
    d[k] = mapping(f, d[k]);
    if (k < size) lz[k] = composition(f, lz[k]);
  }
  void push(int k) {
    all_apply(2 * k, lz[k]);
    all_apply(2 * k + 1, lz[k]);
    lz[k] = id();
  }
};

struct S{
  ll A2, A1, d;
};

using F = ll;

S op(S a, S b){
  return{a.A2+b.A2, a.A1+b.A1, a.d + b.d};
}

S mapping(F a, S b){
  return {b.A2 + 2*b.A1*a + a*a*b.d , b.A1+b.d*a, b.d};
}

F composition(F b, F a){
  return a+b;
}

S e(){
  return S{0, 0, 0};
}

F id(){
  return 0;
}

//usage lazy_segtree<S, op, e, F, mapping, composition, id>

/**************************************
** A main function starts from here  **
***************************************/
int main(){
  ll N;
  cin >> N;
  vector<S> v(N);
  rep(i, N){
    ll a;
    cin >> a;
    v[i] = {a*a, a, 1};
  }

  lazy_segtree<S, op, e, F, mapping, composition, id> lz(v);

  ll Q;
  cin >> Q;
  while(Q--){
    ll t, l, r;
    cin >> t >> l >> r;
    l--;r;
    if(t==1){
      ll x;
      cin >> x;
      lz.apply(l, r, x);
    }else{
      auto x = lz.prod(l, r);
      cout << x.A2<<endl;
    }
  }
  
  return 0;
}