結果
| 問題 | No.2483 Yet Another Increasing XOR Problem |
| ユーザー |
 yuto1115
|
| 提出日時 | 2023-09-22 22:40:50 |
| 言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 2 ms / 2,000 ms |
| コード長 | 10,572 bytes |
| コンパイル時間 | 2,355 ms |
| コンパイル使用メモリ | 211,736 KB |
| 実行使用メモリ | 5,376 KB |
| 最終ジャッジ日時 | 2024-07-08 13:25:33 |
| 合計ジャッジ時間 | 2,779 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 23 |
ソースコード
#include<bits/stdc++.h>
#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(i, n) for (ll i = 0; i < ll(n); ++i)
#define rep2(i, s, n) for (ll i = ll(s); i < ll(n); ++i)
#define rep3(i, s, n, d) for(ll i = ll(s); i < ll(n); i+=d)
#define rep(...) overload4(__VA_ARGS__,rep3,rep2,rep1)(__VA_ARGS__)
#define rrep1(i, n) for (ll i = ll(n)-1; i >= 0; i--)
#define rrep2(i, n, t) for (ll i = ll(n)-1; i >= (ll)t; i--)
#define rrep3(i, n, t, d) for (ll i = ll(n)-1; i >= (ll)t; i-=d)
#define rrep(...) overload4(__VA_ARGS__,rrep3,rrep2,rrep1)(__VA_ARGS__)
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define SUM(a) accumulate(all(a),0LL)
#define MIN(a) *min_element(all(a))
#define MAX(a) *max_element(all(a))
#define SORT(a) sort(all(a));
#define REV(a) reverse(all(a));
#define SZ(a) int(a.size())
#define popcount(x) __builtin_popcountll(x)
#define pf push_front
#define pb push_back
#define ef emplace_front
#define eb emplace_back
#define ppf pop_front
#define ppb pop_back
#ifdef __LOCAL
#define debug(...) { cout << #__VA_ARGS__; cout << ": "; print(__VA_ARGS__); cout << flush; }
#else
#define debug(...) void(0);
#endif
#define INT(...) int __VA_ARGS__;scan(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;scan(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__)
using namespace std;
using ll = long long;
using ld = long double;
using P = pair<int, int>;
using LP = pair<ll, ll>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vd = vector<double>;
using vvd = vector<vd>;
using vs = vector<string>;
using vc = vector<char>;
using vvc = vector<vc>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vp = vector<P>;
using vvp = vector<vp>;
using vlp = vector<LP>;
using vvlp = vector<vlp>;
template<class T>
using PQ = priority_queue<pair<T, int>, vector<pair<T, int>>, greater<pair<T, int>>>;
template<class S, class T>
istream &operator>>(istream &is, pair<S, T> &p) { return is >> p.first >> p.second; }
template<class S, class T>
ostream &operator<<(ostream &os, const pair<S, T> &p) { return os << '{' << p.first << ", " << p.second << '}'; }
template<class S, class T, class U>
istream &operator>>(istream &is, tuple<S, T, U> &t) { return is >> get<0>(t) >> get<1>(t) >> get<2>(t); }
template<class S, class T, class U>
ostream &operator<<(ostream &os, const tuple<S, T, U> &t) {
return os << '{' << get<0>(t) << ", " << get<1>(t) << ", " << get<2>(t) << '}';
}
template<class T>
istream &operator>>(istream &is, vector<T> &v) {
for (T &t: v) { is >> t; }
return is;
}
template<class T>
ostream &operator<<(ostream &os, const vector<T> &v) {
os << '[';
rep(i, v.size()) os << v[i] << (i == int(v.size() - 1) ? "" : ", ");
return os << ']';
}
template<class T>
ostream &operator<<(ostream &os, const deque<T> &v) {
os << '[';
rep(i, v.size()) os << v[i] << (i == int(v.size() - 1) ? "" : ", ");
return os << ']';
}
template<class T>
ostream &operator<<(ostream &os, const set<T> &st) {
os << '{';
auto it = st.begin();
while (it != st.end()) {
os << (it == st.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T>
ostream &operator<<(ostream &os, const multiset<T> &st) {
os << '{';
auto it = st.begin();
while (it != st.end()) {
os << (it == st.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T, class U>
ostream &operator<<(ostream &os, const map<T, U> &mp) {
os << '{';
auto it = mp.begin();
while (it != mp.end()) {
os << (it == mp.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T>
void vecout(const vector<T> &v, char div = '\n') {
rep(i, v.size()) cout << v[i] << (i == int(v.size() - 1) ? '\n' : div);
}
template<class T>
bool constexpr chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template<class T>
bool constexpr chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
void scan() {}
template<class Head, class... Tail>
void scan(Head &head, Tail &... tail) {
cin >> head;
scan(tail...);
}
template<class T>
void print(const T &t) { cout << t << '\n'; }
template<class Head, class... Tail>
void print(const Head &head, const Tail &... tail) {
cout << head << ' ';
print(tail...);
}
template<class... T>
void fin(const T &... a) {
print(a...);
exit(0);
}
template<class T>
vector<T> &operator+=(vector<T> &v, T x) {
for (T &t: v) t += x;
return v;
}
template<class T>
vector<T> &operator-=(vector<T> &v, T x) {
for (T &t: v) t -= x;
return v;
}
template<class T>
vector<T> &operator*=(vector<T> &v, T x) {
for (T &t: v) t *= x;
return v;
}
template<class T>
vector<T> &operator/=(vector<T> &v, T x) {
for (T &t: v) t /= x;
return v;
}
struct Init_io {
Init_io() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
cout << boolalpha << fixed << setprecision(15);
cerr << boolalpha << fixed << setprecision(15);
}
} init_io;
const string yes[] = {"no", "yes"};
const string Yes[] = {"No", "Yes"};
const string YES[] = {"NO", "YES"};
const int inf = 1001001001;
const ll linf = 1001001001001001001;
void rearrange(const vi &) {}
template<class T, class... Tail>
void rearrange(const vi &ord, vector<T> &head, Tail &...tail) {
assert(ord.size() == head.size());
vector<T> ori = head;
rep(i, ord.size()) head[i] = ori[ord[i]];
rearrange(ord, tail...);
}
template<class T, class... Tail>
void sort_by(vector<T> &head, Tail &... tail) {
vi ord(head.size());
iota(all(ord), 0);
sort(all(ord), [&](int i, int j) { return head[i] < head[j]; });
rearrange(ord, head, tail...);
}
bool in_rect(int i, int j, int h, int w) {
return 0 <= i and i < h and 0 <= j and j < w;
}
template<class T, class S>
vector<T> cumsum(const vector<S> &v, bool shift_one = true) {
int n = v.size();
vector<T> res;
if (shift_one) {
res.resize(n + 1);
rep(i, n) res[i + 1] = res[i] + v[i];
} else {
res.resize(n);
if (n) {
res[0] = v[0];
rep(i, 1, n) res[i] = res[i - 1] + v[i];
}
}
return res;
}
vvi graph(int n, int m, bool directed = false, int origin = 1) {
vvi G(n);
rep(_, m) {
INT(u, v);
u -= origin, v -= origin;
G[u].pb(v);
if (!directed) G[v].pb(u);
}
return G;
}
template<class T>
vector<vector<pair<int, T>>> weighted_graph(int n, int m, bool directed = false, int origin = 1) {
vector<vector<pair<int, T>>> G(n);
rep(_, m) {
int u, v;
T w;
scan(u, v, w);
u -= origin, v -= origin;
G[u].eb(v, w);
if (!directed) G[v].eb(u, w);
}
return G;
}
template<int mod>
class modint {
ll x;
public:
constexpr modint(ll x = 0) : x((x % mod + mod) % mod) {}
static constexpr int get_mod() { return mod; }
constexpr int val() const { return x; }
constexpr modint operator-() const { return modint(-x); }
constexpr modint &operator+=(const modint &a) {
if ((x += a.val()) >= mod) x -= mod;
return *this;
}
constexpr modint &operator++() { return *this += 1; }
constexpr modint &operator-=(const modint &a) {
if ((x += mod - a.val()) >= mod) x -= mod;
return *this;
}
constexpr modint &operator--() { return *this -= 1; }
constexpr modint
&
operator*=(const modint &a) {
(x *= a.val()) %= mod;
return *this;
}
constexpr modint
operator+(const modint &a) const {
modint res(*this);
return res += a;
}
constexpr modint
operator-(const modint &a) const {
modint res(*this);
return res -= a;
}
constexpr modint
operator*(const modint &a) const {
modint res(*this);
return res *= a;
}
constexpr modint
pow(ll
t) const {
modint res = 1, a(*this);
while (t > 0) {
if (t & 1) res *= a;
t >>= 1;
a *= a;
}
return res;
}
template<int m>
friend istream &operator>>(istream &, modint<m> &);
// for prime mod
constexpr modint
inv() const { return pow(mod - 2); }
constexpr modint
&
operator/=(const modint &a) { return *this *= a.inv(); }
constexpr modint operator/(const modint &a) const {
modint res(*this);
return res /= a;
}
};
using modint998244353 = modint<998244353>;
using modint1000000007 = modint<1000000007>;
template<int mod>
istream &operator>>(istream &is, modint<mod> &a) { return is >> a.x; }
template<int mod>
constexpr ostream &operator<<(ostream &os, const modint<mod> &a) { return os << a.val(); }
template<int mod>
constexpr bool operator==(const modint<mod> &a, const modint<mod> &b) { return a.val() == b.val(); }
template<int mod>
constexpr bool operator!=(const modint<mod> &a, const modint<mod> &b) { return a.val() != b.val(); }
template<int mod>
constexpr modint<mod> &operator++(modint<mod> &a) {
return a += 1;
}
template<int mod>
constexpr modint<mod> &operator--(modint<mod> &a) {
return a -= 1;
}
using mint = modint998244353;
using vm = vector<mint>;
using vvm = vector<vm>;
int main() {
LL(m);
--m;
if (!m) fin(1);
int k = 63 - __builtin_clzll(m);
vvm dp(k + 1, vm(2));
dp[k][0] = 1;
rrep(i, k) rep(j, 2) {
rep(p, 2) rep(q, 2) {
if (!j and (p ^ q) and (~m >> i & 1)) continue;
int nj = j;
if (!(p ^ q) and (m >> i & 1)) nj = 1;
mint now = dp[i + 1][j];
if (p) now *= mint(2).pow(1LL << i);
if (!q) now *= mint(2).pow(1LL << i);
dp[i][nj] += now;
}
}
mint ans;
ans += dp[0][0] + dp[0][1];
// rep(i, 1 << k) rep(j, 1 << k, 1 << (k + 1)) {
// if ((i ^ j) > m) continue;
// ans += mint(2).pow(i + (1 << (k + 1)) - 1 - j);
// }
ans += (mint(2).pow(1LL << k) - 1) * 2;
ans -= (mint(2).pow((1LL << (k + 1)) - 1 - m) - 1);
fin(ans);
}