結果

問題 No.1629 Sorting Integers (SUM of M)
ユーザー Aoxiang CuiAoxiang Cui
提出日時 2021-08-05 00:57:42
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 7 ms / 2,000 ms
コード長 4,249 bytes
コンパイル時間 2,205 ms
コンパイル使用メモリ 132,068 KB
実行使用メモリ 5,928 KB
最終ジャッジ日時 2023-10-14 21:27:15
合計ジャッジ時間 2,582 ms
ジャッジサーバーID
(参考情報)
judge15 / judge14
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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 6 ms
5,792 KB
testcase_01 AC 7 ms
5,796 KB
testcase_02 AC 6 ms
5,644 KB
testcase_03 AC 6 ms
5,772 KB
testcase_04 AC 6 ms
5,924 KB
testcase_05 AC 6 ms
5,712 KB
testcase_06 AC 6 ms
5,712 KB
testcase_07 AC 7 ms
5,764 KB
testcase_08 AC 7 ms
5,660 KB
testcase_09 AC 7 ms
5,924 KB
testcase_10 AC 7 ms
5,712 KB
testcase_11 AC 6 ms
5,924 KB
testcase_12 AC 6 ms
5,648 KB
testcase_13 AC 7 ms
5,928 KB
testcase_14 AC 6 ms
5,660 KB
testcase_15 AC 6 ms
5,708 KB
testcase_16 AC 7 ms
5,760 KB
testcase_17 AC 7 ms
5,712 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 #

#define LOCAL
#define _USE_MATH_DEFINES
#include <array>
#include <cassert>
#include <cstdio>
#include <cstring>
#include <iostream>
#include <iomanip>
#include <string>
#include <sstream>
#include <vector>
#include <queue>
#include <stack>
#include <list>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <algorithm>
#include <complex>
#include <cmath>
#include <numeric>
#include <bitset>
#include <functional>
#include <random>
#include <ctime>

using namespace std;

template <typename A, typename B>
ostream& operator <<(ostream& out, const pair<A, B>& a) {
  out << "(" << a.first << "," << a.second << ")";
  return out;
}
template <typename T, size_t N>
ostream& operator <<(ostream& out, const array<T, N>& a) {
  out << "["; bool first = true;
  for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
  return out;
}
template <typename T>
ostream& operator <<(ostream& out, const vector<T>& a) {
  out << "["; bool first = true;
  for (auto v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]";
  return out;
}
template <typename T, class Cmp>
ostream& operator <<(ostream& out, const set<T, Cmp>& a) {
  out << "{"; bool first = true;
  for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "}";
  return out;
}
template <typename U, typename T, class Cmp>
ostream& operator <<(ostream& out, const map<U, T, Cmp>& a) {
  out << "{"; bool first = true;
  for (auto& p : a) { out << (first ? "" : ", "); out << p.first << ":" << p.second; first = 0;} out << "}";
  return out;
}
#ifdef LOCAL
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
#else
#define trace(...) 42
#endif
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
  cerr << name << ": " << arg1 << endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
  const char* comma = strchr(names + 1, ',');
  cerr.write(names, comma - names) << ": " << arg1 << " |";
  __f(comma + 1, args...);
}

template <class T> auto vect(const T& v, int n) { return vector<T>(n, v); }
template <class T, class... D> auto vect(const T& v, int n, D... m) {
  return vector<decltype(vect(v, m...))>(n, vect(v, m...));
}

typedef long long int64;
typedef pair<int, int> ii;
#define SZ(x) (int)((x).size())
template <typename T> static constexpr T inf = numeric_limits<T>::max() / 2;
const int MOD = 1e9 + 7;
// const int MOD = 998244353;
mt19937 mrand(random_device{}());
int rnd(int x) { return mrand() % x; }
// mt19937_64 mrand(random_device{}());
// int64 rnd(int64 x) { return mrand() % x; }
template <class T> void out(const vector<T>& a) { for (int i = 0; i < SZ(a); ++i) cout << a[i] << " \n"[i + 1 == SZ(a)]; }
template <class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template <class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
template <class T> void dedup(vector<T>& v) { sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); }
void add(int& x, int y) { x += y; if (x >= MOD) x -= MOD; }

struct fast_ios {
  fast_ios() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
  };
} fast_ios_;

const int N = 2e5 + 10;
int fact[N], ifact[N], inv[N];

struct comb_init {
  comb_init() {
    inv[1] = 1;
    for (int i = 2; i < N; ++i) {
      inv[i] = (MOD - MOD / i) * (int64)inv[MOD % i] % MOD;
    }
    fact[0] = ifact[0] = 1;
    for (int i = 1; i < N; ++i) {
      fact[i] = (int64)fact[i - 1] * i % MOD;
      ifact[i] = (int64)ifact[i - 1] * inv[i] % MOD;
    }
  }
} comb_init_;

int64 comb(int n, int m) {
  if (n < m || m < 0) return 0;
  return (int64)fact[n] * ifact[m] % MOD * ifact[n - m] % MOD;
}

int main() {
  int n;
  cin >> n;
  vector<int> cnt(9);
  for (auto& x : cnt) cin >> x;
  int sum = 0, p = 1;
  for (int i = 0; i < n; ++i, p = 10LL * p % MOD) add(sum, p);
  int ret = 0;
  for (int k = 0; k < 9; ++k) {
    if (cnt[k] == 0) continue;
    int cur = fact[n - 1];
    for (int i = 0; i < 9; ++i) {
      int x = cnt[i];
      if (i == k) --x;
      cur = 1LL * cur * ifact[x] % MOD;
    }
    add(ret, 1LL * sum * (k + 1) % MOD * cur % MOD);
  }
  cout << ret << '\n';
  return 0;
}
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