結果

問題 No.2247 01 ZigZag
ユーザー jabeejabee
提出日時 2023-03-17 22:54:52
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 32 ms / 2,000 ms
コード長 5,758 bytes
コンパイル時間 4,418 ms
コンパイル使用メモリ 268,904 KB
実行使用メモリ 19,584 KB
最終ジャッジ日時 2024-09-18 16:14:13
合計ジャッジ時間 7,442 ms
ジャッジサーバーID
（参考情報） 		judge2 / 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 * 2
other AC * 50
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>
#include <math.h>
#include <algorithm>
#include <iostream>
#include <vector>
#include <atcoder/all>
#include <atcoder/dsu>
#include <atcoder/segtree>
#include <atcoder/lazysegtree>
#include <atcoder/modint>
#include <atcoder/scc>
#include <chrono>
#include <random>
#include <cassert>
#ifndef templete
#define rep(i,a,b) for(int i=a;i<b;i++)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(x) (x).begin(),(x).end()

//#include<boost/multiprecision/cpp_int.hpp>
//using namespace boost::multiprecision;
using namespace std;
using namespace atcoder;
//using atmint = modint998244353;
using atmint = modint;
using Graph = vector<vector<int>>;
using P = pair<long long,long long>;
//#pragma GCC optimize ("-O3")
using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); }
typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60;
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 (b < a) { a = b; return 1; } return 0; }

//---------------------------------------------------------------------------------------------------

template<int MOD> struct ModInt {
    static const int Mod = MOD; unsigned x; ModInt() : x(0) { }
    ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; }
    ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; }
    int get() const { return (int)x; }
    ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; }
    ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; }
    ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; }
    ModInt &operator/=(ModInt that) { return *this *= that.inverse(); }
    ModInt operator+(ModInt that) const { return ModInt(*this) += that; }
    ModInt operator-(ModInt that) const { return ModInt(*this) -= that; }
    ModInt operator*(ModInt that) const { return ModInt(*this) *= that; }
    ModInt operator/(ModInt that) const { return ModInt(*this) /= that; }
    ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0;
        while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); }
        return ModInt(u); }
    bool operator==(ModInt that) const { return x == that.x; }
    bool operator!=(ModInt that) const { return x != that.x; }
    ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; }
};
template<int MOD> ostream& operator<<(ostream& st, const ModInt<MOD> a) { st << a.get(); return st; };
template<int MOD> ModInt<MOD> operator^(ModInt<MOD> a, unsigned long long k) {
    ModInt<MOD> r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; }
template<typename T, int FAC_MAX> struct Comb { vector<T> fac, ifac;
    Comb(){fac.resize(FAC_MAX,1);ifac.resize(FAC_MAX,1);rep(i,1,FAC_MAX)fac[i]=fac[i-1]*i;
        ifac[FAC_MAX-1]=T(1)/fac[FAC_MAX-1];rrep(i,FAC_MAX-2,1)ifac[i]=ifac[i+1]*T(i+1);}
    T aPb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b]; }
    T aCb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b] * ifac[b]; }
    T nHk(int n, int k) { if (n == 0 && k == 0) return T(1); if (n <= 0 || k < 0) return 0;
        return aCb(n + k - 1, k); } // nHk = (n+k-1)Ck : n is separator
    T pairCombination(int n) {if(n%2==1)return T(0);return fac[n]*ifac[n/2]/(T(2)^(n/2));}
    // combination of paris for n com.aCb(h+w-2,h-1);
}; 
//typedef ModInt<1000000007> mint;
typedef ModInt<998244353> mint; 
//typedef ModInt<1000000000> mint; 
Comb<mint, 2010101> com;
//vector dp(n+1,vector(n+1,vector<ll>(n+1,0)));
//vector dp(n+1,vector<ll>(n+1,0));
  std::random_device seed_gen;
  std::mt19937 engine(seed_gen());
string ye = "Yes"; string no = "No"; string draw = "Draw";

#endif // templete
//---------------------------------------------------------------------------------------------------

string ng = "2";
string solve(ll n, ll nm, ll m){
    string res = "";
    rep(i,0,n)res += "0";
    rep(i,0,nm)res += "01";
    rep(i,0,m)res += "1";
    return res;    
}

string solve2(ll n, ll m, ll k){
  if(n == 0){
    if(k == 0){
        return solve(0,0,m);
    }else{
        return ng;
    }
  }
  if(m == 0){
    if(k == 0){
        return solve(n,0,0);
    }else{
        return ng;
    }
  }

  if(k == 0){
        return ng;
  }

  ll nowk = 1;
  ll nm = 1;
  n--; m--;
  while(nowk < k){
    nowk+=2;
    n--;
    m--;
    nm++;
  }
  
  if(n < 0 || m < 0 || nowk != k){
    return ng;
  }else return solve(n,nm,m);
    
}

void _main() {
  ll n,m,k;
  cin >> n >> m >> k;
  string ans = ng;
  string temp;
  bool check;
  ll cnt;
  
  temp = solve2(n,m,k);
  check = true;
  cnt = 0;
  rep(i,1,temp.size()){
  if(temp[i] != temp[i-1])cnt++;
  }
  rep(i,0,temp.size()){
    if(temp[i] == '2')check = false;
  }
  if(cnt != k)check = false;
  if(temp.size() != n + m)check = false;
  if(check)chmin(ans,temp);

  temp = solve2(n-1,m,k-1) + "0";
  check = true;
  cnt = 0;
  rep(i,1,temp.size()){
  if(temp[i] != temp[i-1])cnt++;
  }
  rep(i,0,temp.size()){
    if(temp[i] == '2')check = false;
  }
  if(cnt != k)check = false;
  if(temp.size() != n + m)check = false;
  if(check)chmin(ans,temp);


  temp = "1" + solve2(n,m-1,k-1);
  check = true;
  cnt = 0;
  rep(i,1,temp.size()){
  if(temp[i] != temp[i-1])cnt++;
  }
  rep(i,0,temp.size()){
    if(temp[i] == '2')check = false;
  }
  if(cnt != k)check = false;
  if(temp.size() != n + m)check = false;
  if(check)chmin(ans,temp);
  
    if(ans == ng){
        cout << "-1" << endl;
        return;
    }
  cout << ans << endl;
}
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