結果

問題 No.1410 A lot of Bit Operations
ユーザー fastmathfastmath
提出日時 2021-02-26 23:22:12
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 4,376 bytes
コンパイル時間 1,497 ms
コンパイル使用メモリ 132,620 KB
実行使用メモリ 6,824 KB
最終ジャッジ日時 2024-10-02 16:21:33
合計ジャッジ時間 2,478 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,812 KB
testcase_01 AC 1 ms
6,820 KB
testcase_02 AC 2 ms
6,816 KB
testcase_03 AC 1 ms
6,824 KB
testcase_04 AC 2 ms
6,816 KB
testcase_05 AC 2 ms
6,816 KB
testcase_06 AC 1 ms
6,816 KB
testcase_07 AC 0 ms
6,816 KB
testcase_08 AC 2 ms
6,820 KB
testcase_09 AC 1 ms
6,820 KB
testcase_10 AC 2 ms
6,824 KB
testcase_11 AC 1 ms
6,820 KB
testcase_12 AC 2 ms
6,820 KB
testcase_13 AC 1 ms
6,824 KB
testcase_14 AC 1 ms
6,820 KB
testcase_15 AC 2 ms
6,824 KB
testcase_16 AC 2 ms
6,816 KB
testcase_17 AC 1 ms
6,824 KB
testcase_18 AC 2 ms
6,820 KB
testcase_19 AC 2 ms
6,816 KB
testcase_20 AC 2 ms
6,824 KB
testcase_21 AC 2 ms
6,820 KB
testcase_22 AC 1 ms
6,816 KB
testcase_23 AC 2 ms
6,824 KB
testcase_24 AC 2 ms
6,820 KB
testcase_25 AC 2 ms
6,816 KB
testcase_26 AC 2 ms
6,816 KB
testcase_27 AC 2 ms
6,824 KB
testcase_28 AC 2 ms
6,816 KB
testcase_29 AC 2 ms
6,820 KB
testcase_30 AC 1 ms
6,816 KB
testcase_31 AC 2 ms
6,824 KB
testcase_32 AC 2 ms
6,816 KB
testcase_33 AC 2 ms
6,820 KB
testcase_34 AC 2 ms
6,820 KB
testcase_35 AC 2 ms
6,816 KB
testcase_36 AC 2 ms
6,816 KB
testcase_37 AC 2 ms
6,820 KB
testcase_38 AC 2 ms
6,820 KB
testcase_39 AC 2 ms
6,824 KB
testcase_40 AC 2 ms
6,816 KB
testcase_41 AC 2 ms
6,820 KB
testcase_42 AC 2 ms
6,820 KB
testcase_43 AC 2 ms
6,816 KB
testcase_44 AC 1 ms
6,820 KB
testcase_45 AC 2 ms
6,820 KB
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 # 

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <vector>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <queue>
#include <ctime>
#include <cassert>
#include <complex>
#include <string>
#include <cstring>
#include <chrono>
#include <random>
#include <bitset>
#include <fstream>
using namespace std;
#define int long long
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcountll
#define ll long long
#define mp make_pair
#define x first
#define y second
#define Time (double)clock()/CLOCKS_PER_SEC
#define debug(x) std::cerr << #x << ": " << x << '\n';
#define FOR(i, n) for (int i = 0; i < n; ++i)
#define pb push_back
#define trav(a, x) for (auto& a : x)
using vi = vector<int>;
template <typename T>
std::ostream& operator <<(std::ostream& output, const pair <T, T> & data)
{
    output << "(" << data.x << "," << data.y << ")";
    return output;
}
template <typename T>
std::ostream& operator <<(std::ostream& output, const std::vector<T>& data)
{
    for (const T& x : data)
        output << x << " ";
    return output;
}
ll div_up(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll div_down(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down 
ll math_mod(ll a, ll b) { return a - b * div_down(a, b); }
#define tcT template<class T
#define tcTU tcT, class U
tcT> using V = vector<T>; 
tcT> void re(V<T>& x) { 
    trav(a, x)
        cin >> a;
}
tcT> bool ckmin(T& a, const T& b) {
    return b < a ? a = b, 1 : 0; 
} // set a = min(a,b)
tcT> bool ckmax(T& a, const T& b) {
    return a < b ? a = b, 1 : 0; 
}
ll gcd(ll a, ll b) {
    while (b) {
        tie(a, b) = mp(b, a % b);
    }
    return a;
}

//need define int long long
namespace Stuff {
const int MOD = 1e9+7;
int mod(int n) {
    n %= MOD;
    if (n < 0) return n + MOD;
    else return n;
}   
int fp(int a, int p) {
    int ans = 1, c = a;
    for (int i = 0; (1ll << i) <= p; ++i) {
        if ((p >> i) & 1) ans = mod(ans * c);
        c = mod(c * c);
    }   
    return ans;
}   
int dv(int a, int b) { return mod(a * fp(b, MOD - 2)); }
};
struct M {
ll x;
M (int x_) { x = Stuff::mod(x_); }   
M () { x = 0; }
M operator + (M y) {
    int ans = x + y.x;
    if (ans >= Stuff::MOD)
        ans -= Stuff::MOD;
    return M(ans);
}
M operator - (M y) {
    int ans = x - y.x;
    if (ans < 0)
        ans += Stuff::MOD;
    return M(ans);            
}   
M operator * (M y) { return M(x * y.x % Stuff::MOD); }   
M operator / (M y) { return M(x * Stuff::fp(y.x, Stuff::MOD - 2) % Stuff::MOD); }   
M operator + (int y) { return (*this) + M(y); }
M operator - (int y) { return (*this) - M(y); }   
M operator * (int y) { return (*this) * M(y); }   
M operator / (int y) { return (*this) / M(y); }   
M operator ^ (int p) { return M(Stuff::fp(x, p)); }   
void operator += (M y) { *this = *this + y; }   
void operator -= (M y) { *this = *this - y; }   
void operator *= (M y) { *this = *this * y; }
void operator /= (M y) { *this = *this / y; }   
void operator += (int y) { *this = *this + y; }   
void operator -= (int y) { *this = *this - y; }   
void operator *= (int y) { *this = *this * y; }
void operator /= (int y) { *this = *this / y; }   
void operator ^= (int p) { *this = *this ^ p; }
bool operator == (M y) { return x == y.x; }
};  
std::ostream& operator << (std::ostream& o, const M& a)
{
    cout << a.x;
    return o;
}


signed main() {
    #ifdef ONLINE_JUDGE
    #define endl '\n'
    ios_base::sync_with_stdio(0); cin.tie(0);
    #endif
    int n;
    cin >> n;
    string s;
    cin >> s;

    if (n == 0) {
        int ans = 0;
        FOR (i, 8)
            ans += s[i] == 'o';
        cout << ans << endl;
        exit(0);
    }

    auto GetBit = [&] (int mask, int i) {
        return (mask >> i) & 1;
    };

    M p = (M(2)^n)^2;

    M ans = 0;
    FOR (i, 8) {
        if (s[i] == 'o') {
            
            int one = bp(i);
            int nu = 4 - one;

            ans += p;
            ans += p * (M(2)^(n - 1));

            M prob = M(one * one + nu * nu) / M(16);

            //debug(one * one + nu * nu);
            prob -= M(1) - prob;

            M sum = (M(2)^(n - 1)) - 1;
            ans += prob * p * sum;
        }
    }
    cout << ans << endl;

}
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