結果

問題 No.873 バイナリ、ヤバいなり！ｗ
ユーザー hedwig100hedwig100
提出日時 2020-08-14 18:18:55
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 163 ms / 2,000 ms
コード長 4,420 bytes
コンパイル時間 2,008 ms
コンパイル使用メモリ 177,796 KB
実行使用メモリ 5,760 KB
最終ジャッジ日時 2024-06-11 14:07:02
合計ジャッジ時間 3,752 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge5
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ファイルパターン 結果
sample AC * 3
other AC * 36
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 <bits/stdc++.h>
#define rep(i,n) for (int i = 0; i < (int)(n); i ++)
#define irep(i,n) for (int i = (int)(n) - 1;i >= 0;--i)
using namespace std;
using ll = long long;
using PL = pair<ll,ll>;
using P = pair<int,int>;
constexpr int INF = 1000000000;
constexpr long long HINF = 1000000000000000;
constexpr long long MOD = 1000000007;// = 998244353;
constexpr double EPS = 1e-4;
constexpr double PI = 3.14159265358979;

template<int Modulus> 
struct ModInt {
    long long x;
    ModInt(long long x = 0) :x((x%Modulus + Modulus)%Modulus) {}
    constexpr ModInt &operator+=(const ModInt a) {if ((x += a.x) >= Modulus) x -= Modulus; return *this;}
    constexpr ModInt &operator-=(const ModInt a) {if ((x += Modulus - a.x) >= Modulus) x -= Modulus; return *this;}
    constexpr ModInt &operator*=(const ModInt a) {(x *= a.x) %= Modulus; return *this;}
    constexpr ModInt &operator/=(const ModInt a) {return *this *= a.inverse();}

    constexpr ModInt operator+(const ModInt a) const {return ModInt(*this) += a.x;}
    constexpr ModInt operator-(const ModInt a) const {return ModInt(*this) -= a.x;}
    constexpr ModInt operator*(const ModInt a) const {return ModInt(*this) *= a.x;}
    constexpr ModInt operator/(const ModInt a) const {return ModInt(*this) /= a.x;}
    
    friend constexpr ostream& operator<<(ostream& os,const ModInt<Modulus>& a) {return os << a.x;}
    friend constexpr istream& operator>>(istream& is,ModInt<Modulus>& a) {return is >> a.x;}
    
    ModInt inverse() const {// x ^ (-1) 
        long long a = x,b = Modulus,p = 1,q = 0;
        while (b) {long long d = a/b; a -= d*b; swap(a,b); p -= d*q; swap(p,q);}
        return ModInt(p);
    }
    ModInt pow(long long N) {// x ^ N 
        ModInt a = 1;
        while (N) {
            if (N&1) a *= *this;
            *this *= *this;
            N >>= 1;
        }
        return a;
    }
};

using mint = ModInt<1000000007>;

struct Combination {
    int N;
    //using mint = ModInt<1000000007>;
    //using mint = ModInt<998244353>;
    vector<mint> fact,ifact,invs;
    Combination(int N): N(N) {
        fact.resize(N + 1); ifact.resize(N + 1);
        fact[0] = fact[1] = 1;
        ifact[0] = ifact[1] = 1;
        for (int i = 2;i < N + 1;++i) {fact[i] = fact[i - 1] * i;}
        ifact[N] = fact[N].inverse();
        for (int i = N;i >= 1;--i) {ifact[i - 1] = ifact[i] * i;}
    }
    void invs_build() {
        invs.resize(N + 1);
        invs[1] = 1;
        for (int i = 2;i < N + 1;++i) invs[i] = fact[i] * ifact[i - 1];
    }
    mint operator()(int n, int k) {
        if (k < 0 || k > n) return 0;
        return fact[n]*ifact[k]*ifact[n - k];
    }
    mint npk(int n,int k) {
        if (k < 0 || k > n) return 0;
        return fact[n]*ifact[n - k];
    }
};

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    int N; cin >> N;
    vector<int> square(1,0);
    for (int i = 1; i*i <= N; ++i) square.push_back(i*i);
    vector<int> dp(N + 1,INF);
    vector<int> before(N + 1);
    dp[0] = 0; before[0] = -1;
    rep(i,N) {
        int j = 0;
        for (;j*j <= i + 1;j += 2) {
            if (dp[i + 1] >= dp[i + 1 - j*j] + j) {
                dp[i + 1] = dp[i + 1 - j*j] + j;
                before[i + 1] = j;
            }
        }
        while (j*j > i + 1 && j >= 0) --j;
        if (j%2 == 0) --j;
        for (;j >= 0; j -= 2) {
            if (dp[i + 1] >= dp[i + 1 - j*j] + j) {
                dp[i + 1] = dp[i + 1 - j*j] + j;
                before[i + 1] = j;
            }
        }
    }

    vector<int> even,odd;
    int now = N;
    while (now > 0) {
        int x = before[now];
        if (x%2 == 0) even.push_back(x);
        else odd.push_back(x);
        now -= x*x;
    }
    
    sort(even.begin(),even.end());
    sort(odd.begin(),odd.end());
    string ans = "";
    for (int p:odd) {
        rep(i,p) {
            if (i%2 == 0) ans += "0";
            else ans += "1";
        }
    }
    int l = 0,r = (int)even.size() - 1;
    int cnt = 0;
    while (l <= r) {
        if (cnt%2 == 0) {
            rep(i,even[r]) {
                if ((i + cnt)%2 == 0) ans += "0";
                else ans += "1";
            }
            --r;
        } else {
            rep(i,even[l]) {
                if ((i + cnt)%2 == 0) ans += "0";
                else ans += "1";
            }
            ++l;
        }
        ++cnt;
    }
    cout << ans << '\n';
    return 0;
}
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