結果

問題 No.1099 Range Square Sum
ユーザー ei1333333
提出日時 2020-06-26 22:15:55
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 199 ms / 2,000 ms
コード長 6,196 bytes
コンパイル時間 3,222 ms
コンパイル使用メモリ 210,548 KB
最終ジャッジ日時 2025-01-11 11:41:09
ジャッジサーバーID
(参考情報)
judge3 / judge5
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ファイルパターン 結果
sample AC * 1
other AC * 30
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
using int64 = long long;
const int mod = (int) (1e9 + 7);
// const int mod = 998244353;
const int64 infll = (1LL << 60) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 > &p) {
os << p.first << " " << p.second;
return os;
}
template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
is >> p.first >> p.second;
return is;
}
template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
for(int i = 0; i < (int) v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
for(T &in : v) is >> in;
return is;
}
template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }
template< typename T = int64 >
vector< T > make_v(size_t a) {
return vector< T >(a);
}
template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}
template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
t = v;
}
template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
for(auto &e : t) fill_v(e, v);
}
template< typename F >
struct FixPoint : F {
FixPoint(F &&f) : F(forward< F >(f)) {}
template< typename... Args >
decltype(auto) operator()(Args &&... args) const {
return F::operator()(*this, forward< Args >(args)...);
}
};
template< typename F >
inline decltype(auto) MFP(F &&f) {
return FixPoint< F >{forward< F >(f)};
}
template< typename Monoid, typename OperatorMonoid = Monoid >
struct LazySegmentTree {
using F = function< Monoid(Monoid, Monoid) >;
using G = function< Monoid(Monoid, OperatorMonoid) >;
using H = function< OperatorMonoid(OperatorMonoid, OperatorMonoid) >;
int sz, height;
vector< Monoid > data;
vector< OperatorMonoid > lazy;
const F f;
const G g;
const H h;
const Monoid M1;
const OperatorMonoid OM0;
LazySegmentTree(int n, const F f, const G g, const H h,
const Monoid &M1, const OperatorMonoid OM0)
: f(f), g(g), h(h), M1(M1), OM0(OM0) {
sz = 1;
height = 0;
while(sz < n) sz <<= 1, height++;
data.assign(2 * sz, M1);
lazy.assign(2 * sz, OM0);
}
void set(int k, const Monoid &x) {
data[k + sz] = x;
}
void build() {
for(int k = sz - 1; k > 0; k--) {
data[k] = f(data[2 * k + 0], data[2 * k + 1]);
}
}
inline void propagate(int k) {
if(lazy[k] != OM0) {
lazy[2 * k + 0] = h(lazy[2 * k + 0], lazy[k]);
lazy[2 * k + 1] = h(lazy[2 * k + 1], lazy[k]);
data[k] = reflect(k);
lazy[k] = OM0;
}
}
inline Monoid reflect(int k) {
return lazy[k] == OM0 ? data[k] : g(data[k], lazy[k]);
}
inline void recalc(int k) {
while(k >>= 1) data[k] = f(reflect(2 * k + 0), reflect(2 * k + 1));
}
inline void thrust(int k) {
for(int i = height; i > 0; i--) propagate(k >> i);
}
void update(int a, int b, const OperatorMonoid &x) {
thrust(a += sz);
thrust(b += sz - 1);
for(int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
if(l & 1) lazy[l] = h(lazy[l], x), ++l;
if(r & 1) --r, lazy[r] = h(lazy[r], x);
}
recalc(a);
recalc(b);
}
Monoid query(int a, int b) {
thrust(a += sz);
thrust(b += sz - 1);
Monoid L = M1, R = M1;
for(int l = a, r = b + 1; l < r; l >>= 1, r >>= 1) {
if(l & 1) L = f(L, reflect(l++));
if(r & 1) R = f(reflect(--r), R);
}
return f(L, R);
}
Monoid operator[](const int &k) {
return query(k, k + 1);
}
template< typename C >
int find_subtree(int a, const C &check, Monoid &M, bool type) {
while(a < sz) {
propagate(a);
Monoid nxt = type ? f(reflect(2 * a + type), M) : f(M, reflect(2 * a + type));
if(check(nxt)) a = 2 * a + type;
else M = nxt, a = 2 * a + 1 - type;
}
return a - sz;
}
template< typename C >
int find_first(int a, const C &check) {
Monoid L = M1;
if(a <= 0) {
if(check(f(L, reflect(1)))) return find_subtree(1, check, L, false);
return -1;
}
thrust(a + sz);
int b = sz;
for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
if(a & 1) {
Monoid nxt = f(L, reflect(a));
if(check(nxt)) return find_subtree(a, check, L, false);
L = nxt;
++a;
}
}
return -1;
}
template< typename C >
int find_last(int b, const C &check) {
Monoid R = M1;
if(b >= sz) {
if(check(f(reflect(1), R))) return find_subtree(1, check, R, true);
return -1;
}
thrust(b + sz - 1);
int a = sz;
for(b += sz; a < b; a >>= 1, b >>= 1) {
if(b & 1) {
Monoid nxt = f(reflect(--b), R);
if(check(nxt)) return find_subtree(b, check, R, true);
R = nxt;
}
}
return -1;
}
};
int main() {
int N;
cin >> N;
vector< int64 > A(N);
cin >> A;
using pi = tuple< int64, int64, int64 >;
auto f = [](pi x, pi y) {
int64 a, b, c, d, e, f;
tie(a, b, c) = x;
tie(d, e, f) = y;
return pi(a + d, b + e, c + f);
};
auto g = [](pi x, int64 y) {
int64 a, b, c;
tie(a, b, c) = x;
return pi(a + y * y * c + 2 * y * b, b + c * y, c);
};
auto h = [](int64 a, int64 b) {
return a + b;
};
LazySegmentTree< pi, int64 > seg(N, f, g, h, pi(), 0);
for(int i = 0; i < N; i++) {
seg.set(i, pi(A[i] * A[i], A[i], 1));
}
seg.build();
int Q;
cin >> Q;
while(Q--) {
int t, l, r;
cin >> t >> l >> r;
--l;
if(t == 1) {
int x;
cin >> x;
seg.update(l, r, x);
} else {
cout << get< 0 >(seg.query(l, r)) << "\n";
}
}
}
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