#124163 (C++14) No.434 占い

• 問題: No.434 占い
• ユーザー: しらっ亭
• 提出日時: 2016-10-15 01:01:39
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 149 ms / 2,000 ms
• コード長: 4,030 bytes
• コンパイル時間: 1,970 ms
• コンパイル使用メモリ: 185,924 KB
• 実行使用メモリ: 6,820 KB
• 最終ジャッジ日時: 2024-11-22 09:57:20
• 合計ジャッジ時間: 3,784 ms
• ジャッジサーバーID （参考情報）: judge5 / judge1

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	11 ms; 6,816 KB
testcase_01	AC	10 ms; 6,816 KB
testcase_02	AC	11 ms; 6,816 KB
testcase_03	AC	10 ms; 6,820 KB
testcase_04	AC	11 ms; 6,820 KB
testcase_05	AC	11 ms; 6,816 KB
testcase_06	AC	12 ms; 6,816 KB
testcase_07	AC	10 ms; 6,816 KB
testcase_08	AC	12 ms; 6,816 KB
testcase_09	AC	11 ms; 6,820 KB
testcase_10	AC	12 ms; 6,816 KB
testcase_11	AC	13 ms; 6,816 KB
testcase_12	AC	24 ms; 6,820 KB
testcase_13	AC	11 ms; 6,820 KB
testcase_14	AC	11 ms; 6,816 KB
testcase_15	AC	20 ms; 6,820 KB
testcase_16	AC	19 ms; 6,816 KB
testcase_17	AC	20 ms; 6,816 KB
testcase_18	AC	20 ms; 6,820 KB
testcase_19	AC	32 ms; 6,816 KB
testcase_20	AC	149 ms; 6,816 KB
testcase_21	AC	20 ms; 6,820 KB
testcase_22	AC	19 ms; 6,820 KB
testcase_23	AC	10 ms; 6,816 KB
testcase_24	AC	19 ms; 6,816 KB
testcase_25	AC	19 ms; 6,816 KB
testcase_26	AC	14 ms; 6,816 KB
testcase_27	AC	20 ms; 6,816 KB
testcase_28	AC	20 ms; 6,820 KB
testcase_29	AC	38 ms; 6,816 KB
testcase_30	AC	123 ms; 6,816 KB

ソースコード

#include <bits/stdc++.h>
using namespace std;

#define _p(...) (void)printf(__VA_ARGS__)
#define forr(x,arr) for(auto&& x:arr)
#define _overload3(_1,_2,_3,name,...) name
#define _rep2(i,n) _rep3(i,0,n)
#define _rep3(i,a,b) for(int i=int(a);i<int(b);++i)
#define rep(...) _overload3(__VA_ARGS__,_rep3,_rep2,)(__VA_ARGS__)
#define _rrep2(i,n) _rrep3(i,0,n)
#define _rrep3(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__)
#define ALL(x) (x).begin(), (x).end()
#define BIT(n) (1LL<<(n))
#define SZ(x) ((int)(x).size())
#define fst first
#define snd second
using ll=long long;using pii=pair<int,int>;using vb=vector<bool>;
using vi=vector<int>;using vvi=vector<vi>;using vvvi=vector<vvi>;
using vl=vector<ll>;using vvl=vector<vl>;using vvvl=vector<vvl>;
using vd=vector<double>;using vvd=vector<vd>;using vvvd=vector<vvd>;
using vpii=vector<pii>;using vvpii=vector<vpii>;using vvvpii=vector<vvpii>;
template <typename T> T read() {T t; cin >> t; return t;}

struct Combination {
  struct CombinationLucas {
    long long p, q;
    long long mod;
    vector<long long> power;
    vector<long long> F, invF;
    vector<int> e;

    CombinationLucas(int n, long long p, long long q) : p(p), q(q), power(q + 1), F(n), invF(n), e(n) {
      mod = 1;
      for (int i = 0; i < q; i++) {
        mod *= p;
      }

      power[0] = 1;
      for (int i = 1; i <= q; i++) {
        power[i] = power[i - 1] * p % mod;
      }

      F[0] = 1;
      for (long long i = 1; i < n; i++) {
        if (i % p == 0) {
          F[i] = F[i - 1];
        }
        else {
          F[i] = F[i - 1] * i % mod;
        }
      }

      invF[n - 1] = invMod(F[n - 1], mod);
      for (long long i = n - 2; i >= 0; i--) {
        if ((i + 1) % p == 0) {
          invF[i] = invF[i + 1];
        }
        else {
          invF[i] = invF[i + 1] * (i + 1) % mod;
        }
      }

      for (int i = 1; i < n; i++) {
        F[i] = F[i] * F[i / p] % mod;
        invF[i] = invF[i] * invF[i / p] % mod;
        e[i] = i / p + e[i / p];
      }
    }

    long long operator()(int n, int r) {
      if (n < 0 || r < 0 || n < r) return 0;
      long long result = F[n] * invF[n - r] % mod * invF[r] % mod;
      result = result * power[min<int>(q, e[n] - e[n - r] - e[r])] % mod;
      return result;
    }
  };

  vector<long long> inv;
  vector<CombinationLucas> cs;

  Combination(int n, long long mod) {
    auto pf = factorize(mod);
    for (auto kv : pf) {
      cs.emplace_back(n, kv.first, kv.second);
    }

    long long m = 1;
    for (auto &c : cs) {
      inv.push_back(invMod(m, c.mod));
      m *= c.mod;
    }
  }

  long long operator()(int n, int r) {
    long long x = 0;
    long long mod = 1;
    int sz = cs.size();

    for (int i = 0; i < sz; i++) {
      long long y = cs[i](n, r);
      x += mod * (y - x) * inv[i];
      mod *= cs[i].mod;
      x %= mod;
    }

    return (x % mod + mod) % mod;
  }

  private:
  static map<long long, int> factorize(long long n) {
    map<long long, int> ret;
    for (long long i = 2; i * i <= n; i++) {
      while (n % i == 0) {
        ++ret[i];
        n /= i;
      }
    }
    if (n != 1) ret[n] = 1;
    return ret;
  }

  static long long extgcd(long long a, long long b, long long& x, long long& y) {
    long long g = a; x = 1; y = 0;
    if (b != 0) g = extgcd(b, a % b, y, x), y -= (a / b) * x;
    return g;
  }

  static long long invMod(long long x, long long m) {
    long long s, t;
    extgcd(x, m, s, t);
    return (m + s) % m;
  }
};

Combination nCr(101010, 9);

void Main() {
  string S = read<string>();
  int N = SZ(S);

  ll ans = 0;
  rep(i, N) {
    int a = S[i] - '0';

    int c = nCr(N-1, i);
    ans += 1 + (a * c - 1) % 9;
    ans = 1 + (ans - 1) % 9;
  }

  int c0 = 0;
  forr(c, S) if (c == '0') c0++;
  if (ans == 0 && c0 != N) cout << 9 << endl;
  else cout << ans << endl;
}

int main() {
  cin.tie(nullptr);
  ios::sync_with_stdio(false);
  int T = read<int>();
  while (T--) Main();
  return 0;
}