結果

問題 No.737 PopCount
ユーザー shotoyoo
提出日時 2021-09-01 23:44:08
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 10 ms / 1,000 ms
コード長 6,574 bytes
コンパイル時間 2,674 ms
コンパイル使用メモリ 204,012 KB
最終ジャッジ日時 2025-01-24 04:20:56
ジャッジサーバーID
(参考情報)
judge4 / judge4
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 * 15
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

bool TEST = false;
using namespace std;
#include<bits/stdc++.h>
#include<fstream>
#define rep(i,n) for(int (i)=0;(i)<(ll)(n);i++)
#define rrep(i,n) for(int (i)=(ll)(n)-1;(i)>=0;i--)
#define range(i,start,end,step) for(int (i)=start;(i)<(ll)(end);(i)+=(step))
#define rrange(i,start,end,step) for(int (i)=start;(i)>(ll)(end);(i)+=(step))
#define dump(x) cerr << "Line " << __LINE__ << ": " << #x << " = " << (x) << "\n";
#define spa << " " <<
#define fi first
#define se second
#define all(a) (a).begin(),(a).end()
#define allr(a) (a).rbegin(),(a).rend()
using ld = long double;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<ld, ld>;
template<typename T> using V = vector<T>;
template<typename T> using VV = V<V<T>>;
template<typename T, typename T2> using P = pair<T, T2>;
template<typename T, typename T2> using M = map<T, T2>;
template<typename T> using S = set<T>;
template<typename T, typename T2> using UM = unordered_map<T, T2>;
template<typename T> using PQ = priority_queue<T, V<T>, greater<T>>;
template<typename T> using rPQ = priority_queue<T, V<T>, less<T>>;
template<typename T> vector<T> make_vec(size_t n, T a) { return vector<T>(n, a); }
template<typename... Ts> auto make_vec(size_t n, Ts... ts) { return vector<decltype(make_vec(ts...))>(n, make_vec(ts...)); }
template<class SS, class T> ostream& operator << (ostream& os, const pair<SS, T> v){os << "(" << v.first << ", " << v.second << ")"; return os;}
template<typename T> ostream& operator<<(ostream &os, const vector<T> &v) { for (auto &e : v) os << e << ' '; return os; }
template<class T> ostream& operator<<(ostream& os, const vector<vector<T>> &v){ for(auto &e : v){os << e << "\n";} return os;}
struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
template <class T> void UNIQUE(vector<T> &x) {sort(ALL(x));x.erase(unique(ALL(x)), x.end());}
template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; }
void fail() { cout << -1 << '\n'; exit(0); }
inline int popcount(const int x) { return __builtin_popcount(x); }
inline int popcount(const ll x) { return __builtin_popcountll(x); }
template<typename T> void debug(vector<vector<T>>&v){for(ll i=0;i<v.size();i++)
{cerr<<v[i][0];for(ll j=1;j<v[i].size();j++)cerr spa v[i][j];cerr<<"\n";}};
template<typename T> void debug(vector<T>&v){if(v.size()!=0)cerr<<v[0];
for(ll i=1;i<v.size();i++)cerr spa v[i];
cerr<<"\n";};
template<typename T> P<T,T> divmod(T a, T b) {return make_pair(a/b, a%b);}
const ll INF = (1ll<<62);
// const ld EPS = 1e-10;
// const ld PI = acos(-1.0);
template< int mod >
struct ModInt {
int x;
ModInt() : x(0) {}
ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
ModInt &operator+=(const ModInt &p) {
if((x += p.x) >= mod) x -= mod;
return *this;
}
ModInt &operator-=(const ModInt &p) {
if((x += mod - p.x) >= mod) x -= mod;
return *this;
}
ModInt &operator*=(const ModInt &p) {
x = (int) (1LL * x * p.x % mod);
return *this;
}
ModInt &operator/=(const ModInt &p) {
*this *= p.inverse();
return *this;
}
ModInt operator-() const { return ModInt(-x); }
ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
bool operator==(const ModInt &p) const { return x == p.x; }
bool operator!=(const ModInt &p) const { return x != p.x; }
ModInt inverse() const {
int a = x, b = mod, u = 1, v = 0, t;
while(b > 0) {
t = a / b;
swap(a -= t * b, b);
swap(u -= t * v, v);
}
return ModInt(u);
}
ModInt pow(int64_t n) const {
ModInt ret(1), mul(x);
while(n > 0) {
if(n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend ostream &operator<<(ostream &os, const ModInt &p) {
return os << p.x;
}
friend istream &operator>>(istream &is, ModInt &a) {
int64_t t;
is >> t;
a = ModInt< mod >(t);
return (is);
}
static int get_mod() { return mod; }
};
using m17 = ModInt<1'000'000'007>;
using m98 = ModInt<998'244'353>;
using MOD = m17;
ll mod = 1'000'000'007;
MOD g1[100001];
MOD g2[100001];
MOD inverse[100001];
void prepare() {
g1[0] = g1[1] = g2[0] = g2[1] = 1;
inverse[0] = 0;
inverse[1] = 1;
range(i,2,100001,1) {
g1[i] = g1[i-1]*i;
inverse[i] = -inverse[mod%i]*(mod/i);
g2[i] = g2[i-1]*inverse[i];
}
}
template<typename T>
MOD cmb(T n, T r) {
assert(g1[0]==1);
if (r<0 || r>n) return 0;
r = min(r, n-r);
return g1[n]*g2[r]*g2[n-r];
}
template<typename T>
MOD perm(T n, T r) {
if (r<0 || r>n) return 0;
return g1[n]*g2[n-r];
}
struct HashPair {
static size_t m_hash_pair_random;
template<class T1, class T2>
size_t operator()(const pair<T1, T2> &p) const {
auto hash1 = hash<T1>{}(p.first);
auto hash2 = hash<T2>{}(p.second);
size_t seed = 0;
seed ^= hash1 + 0x9e3779b9 + (seed << 6) + (seed >> 2);
seed ^= hash2 + 0x9e3779b9 + (seed << 6) + (seed >> 2);
seed ^= m_hash_pair_random + 0x9e3779b9 + (seed << 6) + (seed >> 2);
return seed;
}
};
size_t HashPair::m_hash_pair_random = (size_t) random_device()();
using MM = unordered_map<P<ll, int>, P<MOD,MOD>, HashPair>;
MM m;
P<MOD,MOD> sub(ll n, int v) {
if (n==0) {
if (v==0) return {1,0};
return {0,0};
} else if (n<0) return {0,0};
if (m.find({n,v})!=m.end()) return m[{n,v}];
MOD res = 0;
MOD num = 0;
auto [n0,v0]= sub(n/2, v);
auto [n1,v1] = sub((n-1)/2, v-1);
num = n0 + n1;
res = v0*2 + v1*2 + n1;
m[{n,v}] = {num,res};
return {num,res};
}
void Main(){
prepare();
ll n;
cin >> n;
int c = 100;
MOD ans = 0;
rep(i, c+1) {
auto [num, res] = sub(n, i);
ans += res * i;
}
cout << ans << endl;
}
int main(void){
std::ifstream in("tmp_in");
if (TEST) {
std::cin.rdbuf(in.rdbuf());
std::cout << std::fixed << std::setprecision(15);
} else {
std::cin.tie(nullptr);
std::ios_base::sync_with_stdio(false);
std::cout << std::fixed << std::setprecision(15);
}
Main();
}
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