結果

問題 No.443 GCD of Permutation
ユーザー tossytossy
提出日時 2016-11-11 23:45:11
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 7 ms / 1,000 ms
コード長 7,384 bytes
コンパイル時間 1,552 ms
コンパイル使用メモリ 108,508 KB
実行使用メモリ 4,504 KB
最終ジャッジ日時 2023-08-04 02:39:40
合計ジャッジ時間 3,046 ms
ジャッジサーバーID
(参考情報)
judge11 / judge13
このコードへのチャレンジ(β)

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
4,388 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 1 ms
4,380 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 1 ms
4,380 KB
testcase_05 AC 2 ms
4,376 KB
testcase_06 AC 2 ms
4,380 KB
testcase_07 AC 2 ms
4,384 KB
testcase_08 AC 1 ms
4,376 KB
testcase_09 AC 1 ms
4,380 KB
testcase_10 AC 1 ms
4,376 KB
testcase_11 AC 1 ms
4,376 KB
testcase_12 AC 2 ms
4,380 KB
testcase_13 AC 1 ms
4,380 KB
testcase_14 AC 2 ms
4,384 KB
testcase_15 AC 2 ms
4,380 KB
testcase_16 AC 2 ms
4,376 KB
testcase_17 AC 2 ms
4,380 KB
testcase_18 AC 6 ms
4,376 KB
testcase_19 AC 2 ms
4,376 KB
testcase_20 AC 5 ms
4,380 KB
testcase_21 AC 3 ms
4,376 KB
testcase_22 AC 2 ms
4,376 KB
testcase_23 AC 2 ms
4,380 KB
testcase_24 AC 1 ms
4,380 KB
testcase_25 AC 6 ms
4,504 KB
testcase_26 AC 6 ms
4,376 KB
testcase_27 AC 4 ms
4,380 KB
testcase_28 AC 2 ms
4,380 KB
testcase_29 AC 7 ms
4,376 KB
testcase_30 AC 6 ms
4,380 KB
testcase_31 AC 6 ms
4,380 KB
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ソースコード

diff #

#include <cstdio>
#include <cstring>
#include <string>
#include <cmath>
#include <cassert>
#include <iostream>
#include <algorithm>
#include <stack>
#include <queue>
#include <vector>
#include <set>
#include <map>
#include <bitset>
#include <functional>
using namespace std;

#define repl(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define rep(i,n) repl(i,0,n)
#define mp(a,b) make_pair((a),(b))
#define pb(a) push_back(a)
#define all(x) (x).begin(),(x).end()
#define dbg(x) cout<<#x"="<<(x)<<endl
#define fi first
#define se second

#define INF 2147483600

// library from http://awakia-n.hatenablog.com/entry/20100515/1273922367
// ありがとうございます
class bigint {
private:
  static const int BASE = 100000000, LEN = 8;
  bool negative;
  std::vector<int> a;
  bigint& normalize();
public:
  bigint(int x = 0);
  bigint(const std::string& s);
  bigint& operator = (const bigint& x);
  bigint& operator = (int x);
  bigint& operator = (const std::string& s);
  const bool operator < (const bigint& x) const;
  const bool operator > (const bigint& x) const;
  const bool operator <= (const bigint& x) const;
  const bool operator >= (const bigint& x) const;
  const bool operator != (const bigint& x) const;
  const bool operator == (const bigint& x) const;
  bigint operator -() const;
  bigint& operator += (const bigint& x);
  bigint& operator -= (const bigint& x);
  bigint& operator *= (const bigint& x);
  bigint& operator /= (const bigint& x);
  bigint& operator %= (const bigint& x);
  const bigint operator + (const bigint& x) const;
  const bigint operator - (const bigint& x) const;
  const bigint operator * (const bigint& x) const;
  const bigint operator / (const bigint& x) const;
  const bigint operator % (const bigint& x) const;
  friend std::pair<bigint,bigint> divmod(const bigint& lhs, const bigint& rhs);
  friend std::istream& operator >> (std::ostream& is, bigint& x); //適当実装
  friend std::ostream& operator << (std::ostream& os, const bigint& x);
  friend const bigint abs(bigint x);
};
bigint& bigint::normalize() {
  int i = a.size()-1;
  while (i >= 0 && a[i] == 0) --i;
  a.resize(i+1);
  if (a.size() == 0) negative = false;
  return *this;
}
bigint::bigint(int x) : negative(x<0) {
  x = abs(x);
  for (; x > 0; x /= BASE) a.push_back(x % BASE);
}
bigint::bigint(const std::string& s): negative(false) {
  int p = 0;
  if (s[p] == '-') { ++p; negative = true; }
  else if (s[p] == '+') { ++p; }
  for (int i = s.size()-1, v = BASE; i >= p; --i, v*=10) {
    int x = s[i]-'0';
    if (x < 0 || 9 < x) {
      std::cerr<<"error: parse error:"<<s<<std::endl;
      exit(1);
    }
    if (v == BASE) {
      v = 1;
      a.push_back(x);
    } else a.back() += (x)*v;
  }
  normalize();
}
bigint& bigint::operator = (const bigint& x) {
  negative = x.negative;
  a = x.a;
  return *this;
}
bigint& bigint::operator = (int x) { return *this = bigint(x); }
bigint& bigint::operator = (const std::string& s) { return *this = bigint(s); }
const bool bigint::operator < (const bigint& x) const {
  if (negative != x.negative) return negative < x.negative;
  if (a.size() != x.a.size()) return (a.size() < x.a.size())^negative;
  for(int i = a.size()-1; i >= 0; --i)
    if (a[i] != x.a[i]) return (a[i] < x.a[i])^negative;
  return false;
}
const bool bigint::operator > (const bigint& x) const { return x<(*this); }
const bool bigint::operator <= (const bigint& x) const { return !(x<(*this)); }
const bool bigint::operator >= (const bigint& x) const { return !((*this)<x); }
const bool bigint::operator != (const bigint& x) const { return (*this)<x || x<(*this); }
const bool bigint::operator == (const bigint& x) const { return !((*this)<x || x<(*this)); }
bigint bigint::operator -() const {
  bigint ret(*this);
  if (a.size()) ret.negative = !ret.negative;
  return ret;
}
bigint& bigint::operator += (const bigint& x) {
  if (negative != x.negative) return *this -= -x;
  if (a.size() < x.a.size()) a.resize(x.a.size());
  int tmp = 0;
  for (int i = 0; i < a.size(); ++i) {
    a[i] += (i<x.a.size()?x.a[i]:0) + tmp;
    tmp = a[i] / BASE;
    a[i] %= BASE;
  }
  if (tmp) a.push_back(1);
  return *this;
}
bigint& bigint::operator -= (const bigint& x) {
  if (negative != x.negative) return *this += -x;
  std::vector<int> b(x.a);
  if ((*this < x) ^ negative) {
    a.swap(b);
    negative = !negative;
  }
  for (int i = 0, tmp = 0; i < a.size(); ++i) {
    a[i] += BASE - (i<b.size()?b[i]:0) + tmp;
    tmp = a[i] / BASE - 1;
    a[i] %= BASE;
  }
  return this->normalize();
}
bigint& bigint::operator *= (const bigint& x) {
  negative ^= x.negative;
  std::vector<int> c(a.size()*x.a.size()+1);
  for (int i = 0; i < a.size(); ++i) {
    long long tmp = 0;
    for (int j = 0; j < x.a.size(); ++j) {
      long long v = (long long)a[i] * x.a[j] + c[i+j] + tmp;
      tmp = v / BASE;
      c[i+j] = (int)(v % BASE);
    }
    if (tmp) c[i+x.a.size()] += (int)tmp;
  }
  a.swap(c);
  return this->normalize();
}
bigint& bigint::operator /= (const bigint& x) {
  return *this = divmod(*this,x).first;
}
bigint& bigint::operator %= (const bigint& x) {
  return *this = divmod(*this,x).second;
}
const bigint bigint::operator + (const bigint& x) const {
  bigint res(*this); return res += x;
}
const bigint bigint::operator - (const bigint& x) const {
  bigint res(*this); return res -= x;
}
const bigint bigint::operator * (const bigint& x) const {
  bigint res(*this); return res *= x;
}
const bigint bigint::operator / (const bigint& x) const {
  bigint res(*this); return res /= x;
}
const bigint bigint::operator % (const bigint& x) const {
  bigint res(*this); return res %= x;
}
std::pair<bigint,bigint> divmod(const bigint& lhs, const bigint& rhs) {
  if (!rhs.a.size()) {
    std::cerr<<"error: division by zero"<<std::endl;
    exit(1);
  }
  bigint x(abs(rhs)), q, r;
  for (int i = lhs.a.size()-1; i >= 0; --i) {
    r = r * bigint::BASE + lhs.a[i];
    int head = 0, tail = bigint::BASE;
    if (r >= x) {
      while (head + 1 < tail) {
        int mid = (head + tail) / 2;
        if (x * bigint(mid) > r) tail = mid;
        else head = mid;
      }
      r -= x * head;
    }
    q.a.push_back(head);
  }
  reverse(q.a.begin(), q.a.end());
  bool neg = lhs.negative ^ lhs.negative;
  q.negative = neg; r.negative = neg;
  return std::make_pair(q.normalize(), r.normalize());
}
std::istream& operator >> (std::istream& is, bigint& x) {
  std::string tmp; is >> tmp;
  x = bigint(tmp);
  return is;
}
std::ostream& operator << (std::ostream& os, const bigint& x) {
  if (x.negative) os << '-';
  if (!x.a.size()) os << 0;
  else os << x.a.back();
  for (int i = x.a.size()-2; i >= 0; --i) {
    os.width(bigint::LEN);
    os.fill('0');
    os << x.a[i];
  }
  return os;
}
const bigint abs(bigint x) {
  x.negative = false;
  return x;
}
/* end of the library */

bigint gcd(bigint a, bigint b){
  if(b == bigint(0) ) return a;
  else return gcd(b, a%b);
}

int main(){
  string str;
  cin>>str;

  vector<bool> use(11, false);

  int g=5*7*8*9;
  rep(i, str.size()){
    int d = str[i]-'0';
    if(d>0) g = __gcd(g,d);
    use[d]=true;
  }

  int cnt=0,w=9;
  rep(i,10) if(use[i]){
    cnt++;
    int j=i+1;
    while(j<10 && !use[j])j++;
    if(j!=10) w = min(w, j-i);
  }

  if(cnt==1){cout<<str<<endl; return 0;}
  sort(all(str));
  bigint a(str), b(w*9*g/__gcd(w*9,g));

  cout << gcd(a,b) << endl;

  return 0;
}
0