結果

問題 No.3075 Mex Recurrence Formula
ユーザー mihhiael
提出日時 2025-03-28 21:40:59
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 166 ms / 2,000 ms
コード長 7,175 bytes
コンパイル時間 2,097 ms
コンパイル使用メモリ 162,980 KB
実行使用メモリ 12,800 KB
最終ジャッジ日時 2025-03-28 21:41:07
合計ジャッジ時間 7,192 ms
ジャッジサーバーID
(参考情報)
judge2 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 46
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 <cstdlib>
#include <numeric>
#if __has_include("all.h")
#include "all.h"
#else
#include <algorithm>
#include <concepts>
#include <cstdint>
#include <ios>
#include <iostream>
#include <istream>
#include <limits>
#include <ostream>
#include <queue>
#include <random>
#include <ranges>
#include <set>
#include <stdexcept>
#include <string>
#include <type_traits>
#include <utility>
#include <vector>
#include <atcoder/modint.hpp>
#endif
#include <atcoder/fenwicktree.hpp>
inline namespace {
using namespace std;
using ll = long long;
using pall = pair<ll, ll>;
template<class T> using vec = vector<T>;
template<class T> using veve = vec<vec<T>>;
using vell = vec<ll>;
using vest = vec<string>;
using vebo = basic_string<bool>;
using vevell = veve<ll>;
template<class T> using mset = multiset<T>;
template<class T> using priority_queue_ascend = priority_queue<T, vec<T>, decltype([](const T a, const T b) { return a > b; })>;
const ll inf = numeric_limits<ll>::max();
const string sp = " ";
const string lf = "\n";
const auto &npos = string::npos;
const vec<pall> grid_move4 = {
{0, 1},
{-1, 0},
{0, -1},
{1, 0}
};
const vec<pall> grid_move8 = [] {
auto ret = grid_move4;
ret.insert(ret.end(), {
{-1, 1},
{-1, -1},
{1, -1},
{1, 1}
});
return ret;
}();
constexpr ll MOD = 998244353;
// constexpr ll MOD = 1e9 + 7;
#define cont continue
#define br break
#define auot auto
auto &ciN = cin;
auto &icn = cin;
auto &icN = cin;
constexpr bool ture = true;
using namespace atcoder;
using mint = static_modint<MOD>;
#define times(N) static_assert(is_integral_v<decltype((N) + 0)>, "times(): N must be integral"); for(typedef decltype((N) + 0) _int; [[maybe_unused]]
    const _int _i: views::iota((_int)0, (N)))
template<int M>
istream &operator>>(istream &in, static_modint<M> &i) {
intmax_t tmp;
in >> tmp;
i = tmp;
return in;
}
template<int M>
ostream &operator<<(ostream &out, const static_modint<M> &i) {
return out << i.val();
}
template<class T, class U>
istream &operator>>(istream &in, pair<T, U> &p) {
return in >> p.first >> p.second;
}
template<class T, class U>
ostream &operator<<(ostream &out, const pair<T, U> &p) {
return out << p.first << sp << p.second;
}
template<class T>
istream &operator>>(istream &in, vec<T> &v) {
for(auto &&e: v) {
in >> e;
}
return in;
}
namespace myinput {
template<class... Ts>
istream &in(Ts&... vecs) {
static_assert(sizeof...(vecs) != 0, "myfunc::in(): At least one vector must be provided");
const set sizes = { vecs.size()... };
if(sizes.size() > 1) {
throw invalid_argument("myfunc::in(): All vectors must have the same size");
}
times(*sizes.begin()) {
((cin >> vecs[_i]), ...);
}
return cin;
}
}
using myinput::in;
ostream &out(const ranges::range auto &v, const string &delim, ostream &out = cout) {
for(const auto &e: v) {
out << e << delim;
}
return out;
}
[[nodiscard]] const string &yesno(const bool cond, const string &yes = "Yes", const string &no = "No") noexcept {
if(cond) return yes;
return no;
}
// [mi, ma)
[[nodiscard]] uint64_t randint(const uint64_t mi, const uint64_t ma) noexcept {
static random_device seed;
static mt19937_64 mt(seed());
if(mi > ma) [[unlikely]] return randint(ma, mi);
if(mi == ma) [[unlikely]] return mi;
const uint64_t w = ma - mi;
uint64_t r;
do {
r = mt();
} while(mt.max() - mt.max() % w <= r);
return r % w + mi;
}
template<class T, class U>
requires common_with<T, U>
[[nodiscard]] constexpr auto min(T &&a, U &&b) noexcept {
return std::min<common_type_t<T, U>>(std::forward<T>(a), std::forward<U>(b));
}
template<class T, class U>
requires common_with<T, U>
[[nodiscard]] constexpr auto max(T &&a, U &&b) noexcept {
return std::max<common_type_t<T, U>>(std::forward<T>(a), std::forward<U>(b));
}
template<class T>
[[nodiscard]] const T &min(const vec<T> &v) {
return *ranges::min_element(v);
}
template<class T>
[[nodiscard]] const T &max(const vec<T> &v) {
return *ranges::max_element(v);
}
template<class... Args>
[[nodiscard]] auto reduce(const ranges::range auto &v, Args... args) {
return reduce(v.begin(), v.end(), args...);
}
[[nodiscard]] constexpr ll powll(ll a, ll b, const ll m = inf) {
if(b < 0) [[unlikely]] throw invalid_argument("powll(): exponent less than zero");
if(m < 1) [[unlikely]] throw invalid_argument("powll(): modulo less than one");
a %= m;
ll ret = 1;
while(b) {
if(b % 2) ret *= a, ret %= m;
a *= a, a %= m;
b /= 2;
}
return ret;
}
template<class T, class U>
requires assignable_from<T&, U> && totally_ordered_with<T, U>
bool mini(T &var, U &&val) noexcept {
const bool cmp = var > val;
if(cmp) var = val;
return cmp;
}
template<class T, class U>
requires assignable_from<T&, U> && totally_ordered_with<T, U>
bool maxi(T &var, U &&val) noexcept {
const bool cmp = var < val;
if(cmp) var = val;
return cmp;
}
namespace myclass {
class [[nodiscard]] grid_base {
public:
grid_base(const ll h, const ll w) noexcept : height(h), width(w) {}
[[nodiscard]] ll operator()(const ll i, const ll j) const noexcept {
if(!isvalid(i, j)) return -1;
return i * width + j;
}
[[nodiscard]] ll operator()(const pall &p) const noexcept {
return (*this)(p.first, p.second);
}
protected:
bool isvalid(const ll i, const ll j) const noexcept {
return 0 <= i && 0 <= j && i < height && j < width;
}
const ll height, width;
};
class [[nodiscard]] grid_seen : public myclass::grid_base {
public:
grid_seen(const ll h, const ll w) : grid_base(h, w) {
visited = vebo(h * w, false);
}
[[nodiscard]] bool &seen(const ll i, const ll j) & {
if(!isvalid(i, j)) [[unlikely]] throw out_of_range("grid::seen(): out of range");
return visited[i * width + j];
}
[[nodiscard]] bool &seen(const pall &p) & {
return seen(p.first, p.second);
}
private:
vebo visited;
};
}
using grid_lite = myclass::grid_base;
using myclass::grid_seen;
template<convertible_to<ll> auto upper, class... Args>
constexpr auto grid(Args... args) {
if constexpr (ll(upper) < ll(1e7)) {
return grid_seen(args...);
} else {
return grid_lite(args...);
}
}
template<class T>
auto erase_single(mset<T> &mset, T &&v) {
const auto it = mset.find(v);
if(it == mset.end()) [[unlikely]] throw invalid_argument("erase_single(): why v not in mset!?!?");
return mset.erase(it);
}
}
void solve();
int main(void) {
cin.tie(nullptr);
ios::sync_with_stdio(false);
solve();
return 0;
}
void solve() {
ll n;
cin >> n;
ll x;
cin >> x;
vell a(n);
cin >> a;
if(x <= n) {
cout << a[x - 1] << lf;
return;
}
fenwick_tree<ll> b(3e5), c(3e5);
for(const auto &e:a) {
if(e > ll(2.5e5)) cont;
b.add(e, 1 - b.sum(e, e + 1));
c.add(e, 1);
}
queue<ll> q;
for(const auto &e:a) q.push(e);
vell ans;
ans.reserve(n + 1);
times(n + 1) {
ll ng = ll(2.5e5), ok = 0;
while(abs(ng - ok) > 1) {
const ll mid = midpoint(ng, ok);
(b.sum(0, mid) == mid ? ok : ng) = mid;
}
b.add(ok, 1 - b.sum(ok, ok + 1));
c.add(ok, 1);
q.push(ok);
ans.push_back(ok);
const ll e = q.front(); q.pop();
if(e > ll(2.5e5)) cont;
c.add(e, -1);
if(c.sum(e, e + 1) == 0) b.add(e, -1);
}
cout << ans[(x-1-n)%(n + 1)] << lf;
}
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