結果
| 問題 |
No.924 紲星
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2023-09-13 21:49:26 |
| 言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 1,136 ms / 4,000 ms |
| コード長 | 9,893 bytes |
| コンパイル時間 | 13,949 ms |
| コンパイル使用メモリ | 303,140 KB |
| 最終ジャッジ日時 | 2025-02-16 22:18:47 |
|
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 16 |
ソースコード
#line 1 "a.cpp"
#define PROBLEM "https://yukicoder.me/problems/no/924"
#line 2 "/home/kuhaku/atcoder/github/algo/lib/template/template.hpp"
#pragma GCC target("sse4.2,avx2,bmi2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
template <class T, class U>
bool chmax(T &a, const U &b) {
return a < (T)b ? a = (T)b, true : false;
}
template <class T, class U>
bool chmin(T &a, const U &b) {
return (T)b < a ? a = (T)b, true : false;
}
constexpr std::int64_t INF = 1000000000000000003;
constexpr int Inf = 1000000003;
constexpr int MOD = 1000000007;
constexpr int MOD_N = 998244353;
constexpr double EPS = 1e-7;
constexpr double PI = M_PI;
#line 3 "/home/kuhaku/atcoder/github/algo/lib/algorithm/compress.hpp"
/**
* @brief 座標圧縮
*
* @tparam T 要素の型
*/
template <class T>
struct coordinate_compression {
coordinate_compression() = default;
coordinate_compression(const std::vector<T> &_data) : data(_data) { build(); }
const T &operator[](int i) const { return data[i]; }
T &operator[](int i) { return data[i]; }
void add(T x) { data.emplace_back(x); }
void build() {
std::sort(std::begin(data), std::end(data));
data.erase(std::unique(std::begin(data), std::end(data)), std::end(data));
}
void build(const std::vector<T> &v) {
data = v;
std::sort(std::begin(data), std::end(data));
data.erase(std::unique(std::begin(data), std::end(data)), std::end(data));
}
bool exists(T x) const {
auto it = std::lower_bound(std::begin(data), std::end(data), x);
return it != std::end(data) && *it == x;
}
int get(T x) const {
auto it = std::lower_bound(std::begin(data), std::end(data), x);
return std::distance(std::begin(data), it);
}
int size() const { return std::size(data); }
private:
std::vector<T> data;
};
/**
* @brief 座標圧縮
*
* @tparam T 要素の型
* @param v
* @return std::vector<T>
*/
template <class T>
std::vector<T> compress(const std::vector<T> &v) {
coordinate_compression cps(v);
std::vector<T> res;
for (auto &&x : v) res.emplace_back(cps.get(x));
return res;
}
#line 2 "/home/kuhaku/atcoder/github/algo/lib/binary_tree/fenwick_tree.hpp"
/**
* @brief フェニック木
* @see http://hos.ac/slides/20140319_bit.pdf
*
* @tparam T
*/
template <class T>
struct fenwick_tree {
fenwick_tree() : _size(), data() {}
fenwick_tree(int n) : _size(n + 1), data(n + 1) {}
fenwick_tree(const std::vector<T> &v) : _size((int)v.size() + 1), data((int)v.size() + 1) {
this->build(v);
}
template <class U>
fenwick_tree(const std::vector<U> &v) : _size((int)v.size() + 1), data((int)v.size() + 1) {
this->build(v);
}
T operator[](int i) const { return this->sum(i + 1) - this->sum(i); }
T at(int k) const { return this->operator[](k); }
T get(int k) const { return this->operator[](k); }
template <class U>
void build(const std::vector<U> &v) {
for (int i = 0, n = v.size(); i < n; ++i) this->add(i, v[i]);
}
/**
* @brief v[k] = val
*
* @param k index of array
* @param val new value
* @return void
*/
void update(int k, T val) { this->add(k, val - this->at(k)); }
/**
* @brief v[k] += val
*
* @param k index of array
* @param val new value
* @return void
*/
void add(int k, T val) {
assert(0 <= k && k < this->_size);
for (++k; k < this->_size; k += k & -k) this->data[k] += val;
}
/**
* @brief chmax(v[k], val)
*
* @param k index of array
* @param val new value
* @return bool
*/
bool chmax(int k, T val) {
if (this->at(k) >= val) return false;
this->update(k, val);
return true;
}
/**
* @brief chmin(v[k], val)
*
* @param k index of value
* @param val new value
* @return bool
*/
bool chmin(int k, T val) {
if (this->at(k) <= val) return false;
this->update(k, val);
return true;
}
/**
* @brief v[0] + ... + v[n - 1]
*
* @return T
*/
T all_sum() const { return this->sum(this->_size); }
/**
* @brief v[0] + ... + v[k - 1]
*
* @param k index of array
* @return T
*/
T sum(int k) const {
assert(0 <= k && k <= this->_size);
T res = 0;
for (; k > 0; k -= k & -k) res += this->data[k];
return res;
}
/**
* @brief v[a] + ... + v[b - 1]
*
* @param a first index of array
* @param b last index of array
* @return T
*/
T sum(int a, int b) const { return a < b ? this->sum(b) - this->sum(a) : 0; }
/**
* @brief binary search on fenwick_tree
*
* @param val target value
* @return int
*/
int lower_bound(T val) const {
if (val <= 0) return 0;
int k = 1;
while (k < this->_size) k <<= 1;
int res = 0;
for (; k > 0; k >>= 1) {
if (res + k < this->_size && this->data[res + k] < val) val -= this->data[res += k];
}
return res;
}
private:
int _size;
std::vector<T> data;
};
#line 3 "/home/kuhaku/atcoder/github/algo/lib/template/macro.hpp"
#define FOR(i, m, n) for (int i = (m); i < int(n); ++i)
#define FORR(i, m, n) for (int i = (m)-1; i >= int(n); --i)
#define FORL(i, m, n) for (int64_t i = (m); i < int64_t(n); ++i)
#define rep(i, n) FOR (i, 0, n)
#define repn(i, n) FOR (i, 1, n + 1)
#define repr(i, n) FORR (i, n, 0)
#define repnr(i, n) FORR (i, n + 1, 1)
#define all(s) (s).begin(), (s).end()
#line 3 "/home/kuhaku/atcoder/github/algo/lib/template/sonic.hpp"
struct Sonic {
Sonic() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
}
constexpr void operator()() const {}
} sonic;
#line 5 "/home/kuhaku/atcoder/github/algo/lib/template/atcoder.hpp"
using namespace std;
using ll = std::int64_t;
using ld = long double;
template <class T, class U>
std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {
return is >> p.first >> p.second;
}
template <class T>
std::istream &operator>>(std::istream &is, std::vector<T> &v) {
for (T &i : v) is >> i;
return is;
}
template <class T, class U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {
return os << '(' << p.first << ',' << p.second << ')';
}
template <class T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &v) {
for (auto it = v.begin(); it != v.end(); ++it) {
os << (it == v.begin() ? "" : " ") << *it;
}
return os;
}
template <class Head, class... Tail>
void co(Head &&head, Tail &&...tail) {
if constexpr (sizeof...(tail) == 0) std::cout << head << '\n';
else std::cout << head << ' ', co(std::forward<Tail>(tail)...);
}
template <class Head, class... Tail>
void ce(Head &&head, Tail &&...tail) {
if constexpr (sizeof...(tail) == 0) std::cerr << head << '\n';
else std::cerr << head << ' ', ce(std::forward<Tail>(tail)...);
}
template <typename T, typename... Args>
auto make_vector(T x, int arg, Args... args) {
if constexpr (sizeof...(args) == 0) return std::vector<T>(arg, x);
else return std::vector(arg, make_vector<T>(x, args...));
}
void setp(int n) {
std::cout << std::fixed << std::setprecision(n);
}
void Yes(bool is_correct = true) {
std::cout << (is_correct ? "Yes" : "No") << '\n';
}
void No(bool is_not_correct = true) {
Yes(!is_not_correct);
}
void YES(bool is_correct = true) {
std::cout << (is_correct ? "YES" : "NO") << '\n';
}
void NO(bool is_not_correct = true) {
YES(!is_not_correct);
}
void Takahashi(bool is_correct = true) {
std::cout << (is_correct ? "Takahashi" : "Aoki") << '\n';
}
void Aoki(bool is_not_correct = true) {
Takahashi(!is_not_correct);
}
#line 5 "a.cpp"
int main(void) {
int n, q;
cin >> n >> q;
vector<ll> a(n);
cin >> a;
coordinate_compression cc(a);
auto c = compress(a);
int m = cc.size();
vector<vector<int>> v(m);
rep (i, n) v[c[i]].emplace_back(i);
vector<pair<int, int>> b(q);
cin >> b;
vector<int> ok(q, 0), ng(q, m);
while (true) {
vector<int> mid(q);
rep (i, q) mid[i] = (ok[i] + ng[i]) / 2;
int cnt = 0;
vector<vector<int>> mp(m);
rep (i, q) {
if (mid[i] == ok[i] || mid[i] == ng[i])
++cnt;
else
mp[mid[i]].emplace_back(i);
}
if (cnt == q)
break;
fenwick_tree<int> ft(n);
repr (i, m) {
for (int idx : v[i]) ft.add(idx, 1);
for (int idx : mp[i]) {
auto [l, r] = b[idx];
if (ft.sum(l - 1, r) >= (r - l + 2) / 2)
ok[idx] = i;
else
ng[idx] = i;
}
}
}
vector<vector<int>> query(n + 1);
rep (i, q) {
auto [l, r] = b[i];
query[l - 1].emplace_back(~i);
query[r].emplace_back(i);
}
vector<ll> ans(q);
fenwick_tree<ll> ft1(m), ft2(m);
rep (i, n) {
ft1.add(c[i], a[i]);
ft2.add(c[i], 1);
for (auto &&idx : query[i + 1]) {
if (idx >= 0) {
int t = ok[idx];
ans[idx] += ft1.sum(t, m);
ans[idx] -= cc[ok[idx]] * ft2.sum(t, m);
ans[idx] += cc[ok[idx]] * ft2.sum(t);
ans[idx] -= ft1.sum(t);
} else {
idx = ~idx;
int t = ok[idx];
ans[idx] -= ft1.sum(t, m);
ans[idx] += cc[ok[idx]] * ft2.sum(t, m);
ans[idx] -= cc[ok[idx]] * ft2.sum(t);
ans[idx] += ft1.sum(t);
}
}
}
for (auto x : ans) co(x);
return 0;
}