結果

問題 No.737 PopCount
ユーザー msm1993msm1993
提出日時 2020-02-18 18:49:00
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,069 bytes
コンパイル時間 745 ms
コンパイル使用メモリ 90,912 KB
最終ジャッジ日時 2024-11-14 22:07:21
合計ジャッジ時間 1,175 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
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ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
main.cpp:17:39: error: '::numeric_limits' has not been declared
   17 | template<class T> constexpr T INF = ::numeric_limits<T>::max() / 32 * 15 + 208;
      |                                       ^~~~~~~~~~~~~~
main.cpp:17:55: error: expected primary-expression before '>' token
   17 | template<class T> constexpr T INF = ::numeric_limits<T>::max() / 32 * 15 + 208;
      |                                                       ^
main.cpp:17:61: error: no matching function for call to 'max()'
   17 | template<class T> constexpr T INF = ::numeric_limits<T>::max() / 32 * 15 + 208;
      |                                                        ~~~~~^~
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/string:50,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/locale_classes.h:40,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/ios_base.h:41,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/ios:42,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/ostream:38,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/iostream:39,
                 from main.cpp:1:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:254:5: note: candidate: 'template<class _Tp> constexpr const _Tp& std::max(const _Tp&, const _Tp&)'
  254 |     max(const _Tp& __a, const _Tp& __b)
      |     ^~~
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:254:5: note:   template argument deduction/substitution failed:
main.cpp:17:61: note:   candidate expects 2 arguments, 0 provided
   17 | template<class T> constexpr T INF = ::numeric_limits<T>::max() / 32 * 15 + 208;
      |                                                        ~~~~~^~
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:300:5: n

ソースコード

diff # 

#include <iostream>
#include <algorithm>
#include <iomanip>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <bitset>
#include <cmath>

static const int MOD = 1000000007;
using ll = long long;
using u32 = uint32_t;
using namespace std;

template<class T> constexpr T INF = ::numeric_limits<T>::max() / 32 * 15 + 208;

template<ll M = 1000000007>
struct modint{
    ll val;
    modint(): val(0){}
    template<typename T>
    explicit modint(T t){val = t%M; if(val < 0) val += M;}

    modint pow(ll k){
        modint res(1), x(val);
        while(k){
            if(k&1) res *= x;
            x *= x;
            k >>= 1;
        }
        return res;
    }
    template<typename T>
    modint& operator=(T a){ val = a%M; if(val < 0) val += M; return *this; }
    modint inv() {return pow(M-2);}
    modint& operator+=(modint a){ val += a.val; if(val >= M) val -= M; return *this;}
    modint& operator-=(modint a){ val += M-a.val; if(val >= M) val -= M; return *this;}
    modint& operator*=(modint a){ val = 1LL*val*a.val%M; return *this;}
    modint& operator/=(modint a){ return (*this) *= a.inv();}
    modint operator+(modint a) const {return modint(val) +=a;}
    modint operator-(modint a) const {return modint(val) -=a;}
    modint operator*(modint a) const {return modint(val) *=a;}
    modint operator/(modint a) const {return modint(val) /=a;}
    modint operator-(){ return modint(-val);}
    bool operator==(const modint a) const {return val == a.val;}
    bool operator!=(const modint a) const {return val != a.val;}
    bool operator<(const modint a) const {return val < a.val;}
};

using mint = modint<MOD>;

template <class T, class U>
vector<T> make_v(U size, const T& init){ return vector<T>(static_cast<size_t>(size), init); }

template<class... Ts, class U>
auto make_v(U size, Ts... rest) { return vector<decltype(make_v(rest...))>(static_cast<size_t>(size), make_v(rest...)); }

template<class T> void chmin(T &a, const T &b){ a = (a < b ? a : b); }
template<class T> void chmax(T &a, const T &b){ a = (a > b ? a : b); }

int main() {
    ll n;
    cin >> n;
    string s;
    while(n){
        s += char('0' + (n&1));
        n /= 2;
    }
    reverse(s.begin(),s.end());
    n = s.size();
    auto dp = make_v(n+1, n+1, 2, make_pair(mint(0), mint(0)));
    dp[0][0][0] = make_pair(mint(0), mint(1));
    for (int i = 0; i < n; ++i) {
        for (int j = 0; j <= i; ++j) {
            for (int k = 0; k < 2; ++k) {
                int d = k ? 1 : s[i]-'0';
                auto from = dp[i][j][k];
                for (int l = 0; l <= d; ++l) {
                    auto to = dp[i+1][j+l][k | (l < d)];
                    dp[i+1][j+l][k | (l < d)] = {to.first + from.first*mint(2)+from.second*mint(l),
                          to.second + from.second};
                }
            }
        }
    }
    mint ans;
    for (int i = 1; i <= n; ++i) {
        for (int j = 0; j < 2; ++j) {
            ans += dp.back()[i][j].first*mint(i);
        }
    }
    cout << ans.val << "\n";
    return 0;
}
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