結果

問題 No.1043 直列大学
ユーザー masutech16
提出日時 2020-05-01 22:10:39
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 73 ms / 2,000 ms
コード長 3,969 bytes
コンパイル時間 1,807 ms
コンパイル使用メモリ 172,968 KB
実行使用メモリ 14,264 KB
最終ジャッジ日時 2024-12-22 19:31:22
合計ジャッジ時間 4,110 ms
ジャッジサーバーID
(参考情報)
judge5 / 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 * 3
other AC * 28
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 #
プレゼンテーションモードにする

#line 1 "/mnt/c/Users/leafc/dev/compro/lib/math/modint.hpp"
#include <cstdint>
#include <iostream>
#ifndef MOD_INT
#define MOD_INT
template <std::uint_fast64_t MOD> class ModInt {
using u64 = std::uint_fast64_t;
public:
ModInt(const u64 val = 0) { value = val % MOD; }
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; }
ModInt &operator+=(const ModInt rhs) {
value += rhs.value;
if (value >= MOD) {
value -= MOD;
}
return *this;
}
ModInt &operator-=(const ModInt rhs) {
if (value < rhs.value) {
value += MOD;
}
value -= rhs.value;
return *this;
}
ModInt &operator*=(const ModInt rhs) {
value = value * rhs.value % MOD;
return *this;
}
ModInt &operator/=(ModInt rhs) {
*this *= rhs.inv();
return *this;
}
ModInt &operator++(int n) {
value++;
if (value >= MOD) {
value -= MOD;
}
return *this;
}
ModInt &operator--(int n) {
if (value == 0) {
value += MOD;
}
value--;
return *this;
}
ModInt inv() { return ModInt::pow(*this, MOD - 2); }
static ModInt pow(ModInt base, long long int n) {
ModInt res = ModInt(1);
while (n) {
if (n & 1) {
res *= base;
}
base *= base;
n /= 2;
}
return res;
}
static ModInt comb(ModInt n, ModInt r) { return comb(n.value, r.value); }
static ModInt comb(int n, int r) {
if (n < r)
return ModInt(0);
ModInt res = ModInt(1);
for (int i = 0; i < r; i++) {
res *= ModInt(n - i);
}
ModInt inv = ModInt(1);
for (int i = 0; i < r; i++) {
inv *= ModInt(r - i);
}
return res / inv;
}
u64 getValue() const { return value; }
private:
u64 value;
friend std::ostream &operator<<(std::ostream &out, const ModInt<MOD> &m) {
out << m.value;
return out;
}
friend std::istream &operator>>(std::istream &in, ModInt &m) {
uint_fast64_t i;
in >> i;
m = ModInt(i);
return in;
}
};
#endif
#line 1 "/mnt/c/Users/leafc/dev/compro/lib/template.hpp"
#include <bits/stdc++.h>
#define REP(i, n) for (int i = 0; i < n; i++)
#define FOR(i, m, n) for (int i = m; i < n; i++)
#define ALL(v) (v).begin(), (v).end()
#define coutd(n) cout << fixed << setprecision(n)
#define ll long long int
#define vl vector<ll>
#define vi vector<int>
#define MM << " " <<
using namespace std;
template <class T> void say(bool val, T yes = "Yes", T no = "No") { cout << (val ? yes : no) << endl; }
template <class T> void chmin(T &a, T b) {
if (a > b)
a = b;
}
template <class T> void chmax(T &a, T b) {
if (a < b)
a = b;
}
#line 3 "tmp.cpp"
using mint = ModInt<1000000007>;
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
int n, m;
cin >> n >> m;
vi v(n), r(m);
REP(i, n) { cin >> v[i]; }
REP(j, m) { cin >> r[j]; }
ll a, b;
cin >> a >> b;
vector<vector<mint>> dpr(1e5 + 1, vector<mint>(2, mint(0)));
dpr[0][0] = mint(1);
FOR(i, 1, m + 1) {
REP(j, 1e5 + 1) {
dpr[j][i % 2] = dpr[j][(i - 1) % 2];
if (j - r[i - 1] >= 0) {
dpr[j][i % 2] += dpr[j - r[i - 1]][(i - 1) % 2];
}
}
}
vector<vector<mint>> dpv(1e5 + 1, vector<mint>(2, mint(0)));
dpv[0][0] = mint(1);
FOR(i, 1, n + 1) {
REP(j, 1e5 + 1) {
dpv[j][i % 2] = dpv[j][(i - 1) % 2];
if (j - v[i - 1] >= 0) {
dpv[j][i % 2] += dpv[j - v[i - 1]][(i - 1) % 2];
}
}
}
FOR(i, 1, 1e5 + 1) { dpv[i][n % 2] += dpv[i - 1][n % 2]; }
mint ans(0);
FOR(i, 1, 1e5 + 1) {
ll low = a * i, high = b * i;
if (a * i > (ll)1e5)
continue;
ans += (dpv[min(high, (ll)1e5)][n % 2] - dpv[low - 1][n % 2]) * dpr[i][m % 2];
}
cout << ans << endl;
return 0;
}
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