結果

問題 No.802 だいたい等差数列
ユーザー 👑 emthrmemthrm
提出日時 2019-10-05 18:34:13
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
RE  
実行時間 -
コード長 4,225 bytes
コンパイル時間 1,046 ms
コンパイル使用メモリ 121,872 KB
実行使用メモリ 81,536 KB
最終ジャッジ日時 2024-10-06 18:40:54
合計ジャッジ時間 9,958 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge1
このコードへのチャレンジ
（要ログイン）

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 365 ms
81,296 KB
testcase_01 AC 363 ms
81,528 KB
testcase_02 AC 361 ms
81,380 KB
testcase_03 AC 365 ms
81,380 KB
testcase_04 AC 368 ms
81,408 KB
testcase_05 AC 367 ms
81,260 KB
testcase_06 AC 366 ms
81,344 KB
testcase_07 AC 362 ms
81,360 KB
testcase_08 AC 366 ms
81,408 KB
testcase_09 AC 372 ms
81,280 KB
testcase_10 RE -
testcase_11 RE -
testcase_12 RE -
testcase_13 RE -
testcase_14 AC 386 ms
81,192 KB
testcase_15 AC 381 ms
81,400 KB
testcase_16 AC 383 ms
81,368 KB
testcase_17 AC 374 ms
81,348 KB
testcase_18 AC 361 ms
81,368 KB
testcase_19 AC 373 ms
81,344 KB
testcase_20 AC 378 ms
81,196 KB
testcase_21 AC 384 ms
81,492 KB
testcase_22 RE -
testcase_23 AC 381 ms
81,192 KB
testcase_24 AC 374 ms
81,256 KB
testcase_25 AC 373 ms
81,372 KB
testcase_26 AC 378 ms
81,372 KB
testcase_27 RE -
testcase_28 AC 378 ms
81,464 KB
testcase_29 AC 387 ms
81,468 KB
testcase_30 AC 374 ms
81,372 KB
testcase_31 AC 382 ms
81,536 KB
testcase_32 AC 382 ms
81,376 KB
testcase_33 AC 379 ms
81,416 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 # 

#include <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <chrono>
#define _USE_MATH_DEFINES
#include <cmath>
#include <cstdio>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iostream>
#include <iterator>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <utility>
#include <vector>
using namespace std;

#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()

const int INF = 0x3f3f3f3f;
const long long LINF = 0x3f3f3f3f3f3f3f3fLL;
const double EPS = 1e-8;
const int MOD = 1000000007; // 998244353;
const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
/*-------------------------------------------------*/
int mod = MOD;
struct ModInt {
  unsigned val;
  ModInt(): val(0) {}
  ModInt(long long x) : val(x >= 0 ? x % mod : x % mod + mod) {}
  ModInt pow(long long exponent) {
    ModInt tmp = *this, res = 1;
    while (exponent > 0) {
      if (exponent & 1) res *= tmp;
      tmp *= tmp;
      exponent >>= 1;
    }
    return res;
  }
  ModInt &operator+=(const ModInt &rhs) { if((val += rhs.val) >= mod) val -= mod; return *this; }
  ModInt &operator-=(const ModInt &rhs) { if((val += mod - rhs.val) >= mod) val -= mod; return *this; }
  ModInt &operator*=(const ModInt &rhs) { val = (unsigned long long)val * rhs.val % mod; return *this; }
  ModInt &operator/=(const ModInt &rhs) { return *this *= rhs.inv(); }
  bool operator==(const ModInt &rhs) const { return val == rhs.val; }
  bool operator!=(const ModInt &rhs) const { return val != rhs.val; }
  bool operator<(const ModInt &rhs) const { return val < rhs.val; }
  bool operator<=(const ModInt &rhs) const { return val <= rhs.val; }
  bool operator>(const ModInt &rhs) const { return val > rhs.val; }
  bool operator>=(const ModInt &rhs) const { return val >= rhs.val; }
  ModInt operator-() const { return ModInt(-val); }
  ModInt operator+(const ModInt &rhs) const { return ModInt(*this) += rhs; }
  ModInt operator-(const ModInt &rhs) const { return ModInt(*this) -= rhs; }
  ModInt operator*(const ModInt &rhs) const { return ModInt(*this) *= rhs; }
  ModInt operator/(const ModInt &rhs) const { return ModInt(*this) /= rhs; }
  friend ostream &operator<<(ostream &os, const ModInt &rhs) { return os << rhs.val; }
  friend istream &operator>>(istream &is, ModInt &rhs) { long long x; is >> x; rhs = ModInt(x); return is; }
private:
  ModInt inv() const {
    // if (__gcd(static_cast<int>(val), mod) != 1) assert(false);
    unsigned a = val, b = mod; int x = 1, y = 0;
    while (b) {
      unsigned tmp = a / b;
      swap(a -= tmp * b, b);
      swap(x -= tmp * y, y);
    }
    return ModInt(x);
  }
};
ModInt abs(const ModInt &x) { return x.val; }
struct Combinatorics {
  Combinatorics(int MAX = 5000000) {
    MAX <<= 1;
    fact.resize(MAX + 1);
    fact_inv.resize(MAX + 1);
    fact[0] = 1;
    FOR(i, 1, MAX + 1) fact[i] = fact[i - 1] * i;
    fact_inv[MAX] = ModInt(1) / fact[MAX];
    for (int i = MAX; i > 0; --i) fact_inv[i - 1] = fact_inv[i] * i;
  }
  ModInt nCk(int n, int k) {
    if (n < 0 || n < k || k < 0) return ModInt(0);
    return fact[n] * fact_inv[k] * fact_inv[n - k];
  }
  ModInt nPk(int n, int k) {
    if (n < 0 || n < k || k < 0) return ModInt(0);
    return fact[n] * fact_inv[n - k];
  }
  ModInt nHk(int n, int k) {
    if (n < 0 || k < 0) return ModInt(0);
    return (k == 0 ? ModInt(1) : nCk(n + k - 1, k));
  }
private:
  vector<ModInt> fact, fact_inv;
};

int main() {
  cin.tie(nullptr); ios::sync_with_stdio(false);
  // freopen("input.txt", "r", stdin);

  Combinatorics com;
  int n, m; long long d1, d2; cin >> n >> m >> d1 >> d2;
  long long x = m - 1 - d1 * (n - 1);
  if (x < 0) {
    cout << 0 << '\n';
    return 0;
  }
  long long d = d2 - d1;
  ModInt ans = 0;
  REP(i, n) {
    ModInt tmp = com.nCk(n - 1, i) * com.nHk(n + 1, x - (d + 1) * i);
    if (i & 1) {
      ans -= tmp;
    } else {
      ans += tmp;
    }
  }
  cout << ans << '\n';
  return 0;
}
0