結果
問題 | No.1099 Range Square Sum |
ユーザー | もりを |
提出日時 | 2020-06-26 23:02:24 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 275 ms / 2,000 ms |
コード長 | 11,641 bytes |
コンパイル時間 | 2,203 ms |
コンパイル使用メモリ | 217,008 KB |
実行使用メモリ | 29,816 KB |
最終ジャッジ日時 | 2024-07-04 23:22:42 |
合計ジャッジ時間 | 6,409 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
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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
5,376 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 2 ms
5,376 KB |
testcase_04 | AC | 2 ms
5,376 KB |
testcase_05 | AC | 2 ms
5,376 KB |
testcase_06 | AC | 2 ms
5,376 KB |
testcase_07 | AC | 2 ms
5,376 KB |
testcase_08 | AC | 2 ms
5,376 KB |
testcase_09 | AC | 1 ms
5,376 KB |
testcase_10 | AC | 2 ms
5,376 KB |
testcase_11 | AC | 3 ms
5,376 KB |
testcase_12 | AC | 3 ms
5,376 KB |
testcase_13 | AC | 3 ms
5,376 KB |
testcase_14 | AC | 4 ms
5,376 KB |
testcase_15 | AC | 3 ms
5,376 KB |
testcase_16 | AC | 3 ms
5,376 KB |
testcase_17 | AC | 3 ms
5,376 KB |
testcase_18 | AC | 3 ms
5,376 KB |
testcase_19 | AC | 3 ms
5,376 KB |
testcase_20 | AC | 4 ms
5,376 KB |
testcase_21 | AC | 272 ms
29,744 KB |
testcase_22 | AC | 275 ms
29,652 KB |
testcase_23 | AC | 270 ms
29,696 KB |
testcase_24 | AC | 274 ms
29,696 KB |
testcase_25 | AC | 267 ms
29,704 KB |
testcase_26 | AC | 217 ms
29,816 KB |
testcase_27 | AC | 220 ms
29,752 KB |
testcase_28 | AC | 218 ms
29,784 KB |
testcase_29 | AC | 218 ms
29,696 KB |
testcase_30 | AC | 222 ms
29,664 KB |
ソースコード
// #pragma GCC target ("avx") // #pragma GCC optimize("Ofast") // #pragma GCC optimize("unroll-loops") // #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include <bits/stdc++.h> using namespace std; // #define int long long // #define endl '\n' #pragma region TEMPLATE /* TYPE */ typedef long long ll; typedef long double ld; typedef pair<int, int> pii; typedef pair<ll, ll> pll; typedef vector<pii> vpii; typedef vector<pll> vpll; typedef vector<int> vi; typedef vector<ll> vl; typedef vector<string> vst; typedef vector<bool> vb; typedef vector<ld> vld; typedef vector<vector<int>> vvi; template<typename T, typename Cmp = less<>> using prique = priority_queue<T, vector<T>, Cmp>; template<typename T> using prique_r = prique<T, greater<>>; /* CONSTANT */ #define ln '\n' const int INF = 1 << 30; const ll INFF = 1LL << 60; const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const int MOD = 1e9 + 7; const int MODD = 998244353; const string alphabet = "abcdefghijklmnopqrstuvwxyz"; const double EPS = 1e-9; const ld PI = 3.14159265358979323846264338327950288; const int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1, 0 }; const int dy[] = { 0, 1, 0, -1, -1, -1, 1, 1, 0 }; /* CONTAINER */ #define PB emplace_back #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define SORT(v) sort(ALL(v)) #define RSORT(v) sort(RALL(v)) #define LESS(x, val) (lower_bound(x.begin(), x.end(), val) - x.begin()) #define LEQ(x, val) (upper_bound(x.begin(), x.end(), val) - x.begin()) #define GREATER(x, val) (int)(x).size() - LEQ((x), (val)) #define GEQ(x, val) (int)(x).size() - LESS((x), (val)) #define UNIQUE(v) sort(ALL(v)); (v).erase(unique(ALL(v)), (v).end()) template<typename T> 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 U, typename... V> enable_if_t<is_same<T, U>::value != 0> fill_v(U &u, const V... v) { u = U(v...); } template<typename T, typename U, typename... V> enable_if_t<is_same<T, U>::value == 0> fill_v(U &u, const V... v) { for (auto &e : u) fill_v<T>(e, v...); } /* LOOP */ #define _overload3(_1, _2, _3, name, ...) name #define _REP(i, n) REPI(i, 0, n) #define REPI(i, a, b) for (ll i = (ll)a; i < (ll)b; ++i) #define REP(...) _overload3(__VA_ARGS__, REPI, _REP,)(__VA_ARGS__) #define _RREP(i, n) RREPI(i, n, 0) #define RREPI(i, a, b) for (ll i = (ll)a; i >= (ll)b; --i) #define RREP(...) _overload3(__VA_ARGS__, RREPI, _RREP,)(__VA_ARGS__) #define EACH(e, v) for (auto& e : v) #define PERM(v) sort(ALL(v)); for (bool c##p = true; c##p; c##p = next_permutation(ALL(v))) /* INPUT */ template<typename T> void SSS(T& t) { cin >> t; } template<typename Head, typename... Tail> void SSS(Head&& head, Tail&&... tail) { cin >> head; SSS(tail...); } #define SS(T, ...) T __VA_ARGS__; SSS(__VA_ARGS__); #define SV(T, v, n) vector<T> v(n); for (auto& i : v) cin >> i; #define SVV(T, v, n, m) vector<vector<T>> v(n, vector<T>(m)); for (auto& r : v) for (auto& i : r) cin >> i; /* OUTPUT */ // Yes / No inline int YES(bool x) { cout << (x ? "YES" : "NO") << endl; return 0; } inline int Yes(bool x) { cout << (x ? "Yes" : "No") << endl; return 0; } inline int yes(bool x) { cout << (x ? "yes" : "no") << endl; return 0; } inline int yES(bool x) { cout << (x ? "yES" : "nO") << endl; return 0; } inline int Yay(bool x) { cout << (x ? "Yay!" : ":(") << endl; return 0; } // PROTOTYPE DECLARATION template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &j); template<typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t); template<class C, enable_if_t<!is_same<C, string>::value, decltype(declval<const C &>().begin(), nullptr)> = nullptr> ostream& operator<<(ostream &os, const C &c); template<typename T> ostream &operator<<(ostream &os, const stack<T> &j); template<typename T> ostream &operator<<(ostream &os, const queue<T> &j); template<typename T, typename C, typename Cmp> ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j); // IMPLEMENTATION template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &j) { return os << '{' << j.first << ", " << j.second << '}'; } template<size_t num = 0, typename... T> enable_if_t<num == sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) {} template<size_t num = 0, typename... T> enable_if_t<num < sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) { os << get<num>(t); if (num + 1 < sizeof...(T)) os << ", "; PRINT_TUPLE<num + 1>(os, t); } template<typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t) { PRINT_TUPLE(os << '{', t); return os << '}'; } template<class C, enable_if_t<!is_same<C, string>::value, decltype(declval<const C &>().begin(), nullptr)>> ostream& operator<<(ostream &os, const C &c) { os << '{'; for (auto it = begin(c); it != end(c); it++) { if (begin(c) != it) os << ", "; os << *it; } return os << '}'; } template<typename T> ostream &operator<<(ostream &os, const stack<T> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top()); return os << d; } template<typename T> ostream &operator<<(ostream &os, const queue<T> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_back(c.front()); return os << d; } template<typename T, typename C, typename Cmp> ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top()); return os << d; } // OUTPUT FUNCTION template<typename T> int PV(T &v) { int sz = v.size(); for (int i = 0; i < sz; ++i) cout << v[i] << " \n"[i == sz - 1]; return 0; } inline int print() { cout << endl; return 0; } template<typename Head> int print(Head&& head){ cout << head; return print(); } template<typename Head, typename... Tail> int print(Head&& head, Tail&&... tail) { cout << head << " "; return print(forward<Tail>(tail)...); } #ifdef LOCAL inline void dump() { cerr << endl; } template<typename Head> void dump(Head&& head) { cerr << head; dump(); } template<typename Head, typename... Tail> void dump(Head&& head, Tail&&... tail) { cerr << head << ", "; dump(forward<Tail>(tail)...); } #define debug(...) do {cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; dump(__VA_ARGS__); } while (false) #else #define dump(...) #define debug(...) #endif /* OTHER */ #define fi first #define se second #define MP make_pair #define MT make_tuple #define tmax(x, y, z) max((x), max((y), (z))) #define tmin(x, y, z) min((x), min((y), (z))) template<typename T, typename A, typename B> inline bool between(T x, A a, B b) { return ((a <= x) && (x < b)); } template<typename A, typename B> inline bool chmax(A &a, const B &b) { if (a < b) { a = b; return true; } return false; } template<typename A, typename B> inline bool chmin(A &a, const B &b) { if (a > b) { a = b; return true; } return false; } inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; } inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } inline ll POW(ll a, ll b) { ll r = 1; do { if (b & 1) r *= a; a *= a; } while (b >>= 1); return r; } struct abracadabra { abracadabra() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(5); }; } ABRACADABRA; #pragma endregion #pragma region datastructure lazy segment tree /** * @brief 遅延セグメント木 * @docs docs/datastructure/segmenttree/lazysegmenttree.md */ template <typename M, typename OM, typename F, typename G, typename H, typename P> struct LazySegmentTree { int sz; F f; G g; H h; P p; const M ID_M; const OM ID_OM; vector<M> dat; vector<OM> laz; LazySegmentTree(int n, M ID_M, OM ID_OM, F f, G g, H h, P p) : ID_M(ID_M), ID_OM(ID_OM), f(f), g(g), h(h), p(p) { build(n); } LazySegmentTree(const vector<M> &v, M ID_M, OM ID_OM, F f, G g, H h, P p) : ID_M(ID_M), ID_OM(ID_OM), f(f), g(g), h(h), p(p) { int n = v.size(); build(n); for (int i = 0; i < n; ++i) dat[i + sz - 1] = v[i]; for (int i = sz - 2; i >= 0; --i) dat[i] = f(dat[2 * i + 1], dat[2 * i + 2]); } void build(int n) { sz = 1; while (sz < n) sz <<= 1; dat.assign(2 * sz - 1, ID_M); laz.assign(2 * sz - 1, ID_OM); } void eval(int len, int k) { if (laz[k] == ID_OM) return; if (2 * k + 1 < 2 * sz - 1) { laz[2 * k + 1] = h(laz[2 * k + 1], laz[k]); laz[2 * k + 2] = h(laz[2 * k + 2], laz[k]); } dat[k] = g(dat[k], p(laz[k], len)); laz[k] = ID_OM; } M update(int a, int b, OM x, int k, int l, int r) { eval(r - l, k); if (r <= a or b <= l) return dat[k]; if (a <= l and r <= b) { laz[k] = h(laz[k], x); return g(dat[k], p(laz[k], r - l)); } return dat[k] = f(update(a, b, x, 2 * k + 1, l, (l + r) / 2), update(a, b, x, 2 * k + 2, (l + r) / 2, r)); } M update(int a, int b, OM x) { return update(a, b, x, 0, 0, sz); } M query(int a, int b, int k, int l, int r) { eval(r - l, k); if (r <= a or b <= l) return ID_M; if (a <= l and r <= b) return dat[k]; M vl = query(a, b, 2 * k + 1, l, (l + r) / 2); M vr = query(a, b, 2 * k + 2, (l + r) / 2, r); return f(vl, vr); } M query(int a, int b) { return query(a, b, 0, 0, sz); } M operator[](const int &k) { return query(k, k + 1); } void print() { for (int i = 0; i < sz; ++i) cerr << query(i, i + 1) << ' '; cerr << endl; } }; template<typename M, typename OM, typename F, typename G, typename H, typename P> auto make_segtree(int n, M ID_M, OM ID_OM, F f, G g, H h, P p) { return LazySegmentTree<M, OM, F, G, H, P>(n, ID_M, ID_OM, f, g, h, p); } template<typename M, typename OM, typename F, typename G, typename H, typename P> auto make_segtree(vector<M> v, M ID_M, OM ID_OM, F f, G g, H h, P p) { return LazySegmentTree<M, OM, F, G, H, P>(v, ID_M, ID_OM, f, g, h, p); } #pragma endregion signed main() { SS(int, N); SV(int, V, N); using lint = long long; using A = tuple<lint, lint, int>; // 区間の長さ using B = lint; auto f = [](A a, A b) -> A { return make_tuple(get<0>(a) + get<0>(b), get<1>(a) + get<1>(b), get<2>(a) + get<2>(b)); }; auto g = [](A a, B b) -> A { return make_tuple( get<0>(a) + 2LL * get<1>(a) * b + get<2>(a) * b * b, get<1>(a) + get<2>(a) * b, get<2>(a) ); }; auto h = [](B a, B b) -> B { return a + b; }; auto p = [](B a, int b) -> B { return a; }; vector<A> VV(N); REP(i, N) VV[i] = make_tuple(ll(V[i]) * V[i], V[i], 1); auto seg = make_segtree(VV, A(0, 0, 0), B(0), f, g, h, p); SS(int, Q); while (Q--) { SS(int, T, L, R); if (T == 1) { SS(int, X); seg.update(L - 1, R, X); } else { auto t = seg.query(L - 1, R); print(get<0>(t)); } // REP(i, N) cerr << get<0>(seg.query(i, i + 1)) << " \n"[i == N - 1]; // REP(i, N) cerr << get<1>(seg.query(i, i + 1)) << " \n"[i == N - 1]; // REP(i, N) cerr << get<2>(seg.query(i, i + 1)) << " \n"[i == N - 1]; // cerr << endl; } }