結果

問題 No.1043 直列大学
ユーザー gyouzasushi
提出日時 2020-05-01 23:06:40
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 305 ms / 2,000 ms
コード長 5,681 bytes
コンパイル時間 3,162 ms
コンパイル使用メモリ 210,372 KB
最終ジャッジ日時 2025-01-10 05:28:13
ジャッジサーバーID
(参考情報)
judge5 / judge1
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

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n - 1); i >= 0; i--)
#define all(x) (x).begin(), (x).end()
#define sz(x) int(x.size())
#define get_unique(x) x.erase(unique(all(x)), x.end());
typedef long long ll;
typedef complex<double> Complex;
const int INF = 1e9;
const ll MOD = 1e9 + 7;
const ll LINF = 1e18;
template <class T>
bool chmax(T& a, const T& b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T>
bool chmin(T& a, const T& b) {
if (b < a) {
a = b;
return 1;
}
return 0;
}
template <class T>
vector<T> make_vec(size_t a) {
return vector<T>(a);
}
template <class T, class... Ts>
auto make_vec(size_t a, Ts... ts) {
return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}
template <typename T>
ostream& operator<<(ostream& os, vector<T> v) {
for (int i = 0; i < sz(v); i++) {
os << v[i];
if (i < sz(v) - 1) os << " ";
}
return os;
}
struct modint {
ll x;
constexpr modint(ll x = 0) : x((x % MOD + MOD) % MOD) {
}
constexpr ll value() const {
return x;
}
constexpr modint operator-() const {
return modint(-x);
}
constexpr modint& operator+=(const modint a) {
if ((x += a.x) >= MOD) x -= MOD;
return *this;
}
constexpr modint& operator-=(const modint a) {
if ((x += MOD - a.x) >= MOD) x -= MOD;
return *this;
}
constexpr modint& operator*=(const modint a) {
(x *= a.x) %= MOD;
return *this;
}
constexpr modint operator+(const modint a) const {
modint res(*this);
return res += a;
}
constexpr modint operator-(const modint a) const {
modint res(*this);
return res -= a;
}
constexpr modint operator*(const modint a) const {
modint res(*this);
return res *= a;
}
constexpr modint pow(ll t) const {
if (t == 0) return 1;
modint a = pow(t >> 1);
a *= a;
if (t % 2 == 1) a *= *this;
return a;
}
constexpr modint inv() const {
return pow(MOD - 2);
}
constexpr modint& operator/=(const modint a) {
return (*this) *= a.inv();
}
constexpr modint operator/(const modint a) const {
modint res(*this);
return res /= a;
}
};
ostream& operator<<(ostream& os, const modint& x) {
os << x.value();
return os;
}
struct combination {
vector<modint> fact, ifact;
combination(int n) : fact(n + 1), ifact(n + 1) {
assert(n < MOD);
fact[0] = 1;
for (int i = 1; i <= n; i++) {
fact[i] = fact[i - 1] * i;
}
ifact[n] = fact[n].inv();
for (int i = n; i >= 1; i--) {
ifact[i - 1] = ifact[i] * i;
}
}
modint operator()(int n, int k) {
if (n < k || k < 0) return 0;
return fact[n] * ifact[k] * ifact[n - k];
}
modint h(int n, int k) {
n += k - 1;
if (k < 0 || k > n) return 0;
return fact[n] * ifact[k] * ifact[n - k];
}
} comb(2002002);
template <typename T>
struct SegmentTree {
int n;
vector<T> node;
T calc(T a, T b) {
return a + b;
// return min(a, b);
// return max(a, b);
}
T e = 0;
SegmentTree(vector<T> v) {
int sz = v.size();
n = 1;
while (n < sz) {
n *= 2;
}
node.resize(2 * n - 1, e);
for (int i = 0; i < sz; i++) {
node[i + n - 1] = v[i];
}
for (int i = n - 2; i >= 0; i--) {
node[i] = calc(node[2 * i + 1], node[2 * i + 2]);
}
}
SegmentTree(int sz) {
n = 1;
while (n < sz) {
n *= 2;
}
node.resize(2 * n - 1, e);
}
void update(int x, T val) {
x = n + x - 1;
node[x] = val;
while (x > 0) {
x = (x - 1) / 2;
node[x] = calc(node[2 * x + 1], node[2 * x + 2]);
}
}
void add(int x, T val) {
x = n + x - 1;
node[x] += val;
while (x > 0) {
x = (x - 1) / 2;
node[x] = calc(node[2 * x + 1], node[2 * x + 2]);
}
}
T query(int a, int b, int k = 0, int l = 0, int r = -1) {
if (r < 0) r = n;
if (r <= a || b <= l) return e;
if (a <= l && r <= b) return node[k];
T vl = query(a, b, 2 * k + 1, l, (l + r) / 2);
T vr = query(a, b, 2 * k + 2, (l + r) / 2, r);
return calc(vl, vr);
}
T at(int x) {
return node[n + x - 1];
}
};
int main() {
int n, m;
cin >> n >> m;
vector<ll> v(n), r(m);
rep(i, n) cin >> v[i];
rep(i, m) cin >> r[i];
ll a, b;
cin >> a >> b;
auto dpv = make_vec<modint>(110, 100100);
dpv[0][0] = 1;
for (int i = 0; i < n; i++) {
for (int j = 0; j < 100100; j++) {
if (j + v[i] < 100100) dpv[i + 1][j + v[i]] += dpv[i][j];
dpv[i + 1][j] += dpv[i][j];
}
}
auto dpr = make_vec<modint>(110, 100100);
dpr[0][0] = 1;
for (int i = 0; i < m; i++) {
for (int j = 0; j < 100100; j++) {
if (j + r[i] < 100100) dpr[i + 1][j + r[i]] += dpr[i][j];
dpr[i + 1][j] += dpr[i][j];
}
}
dpv[n][0] = dpr[m][0] = 0;
modint ans = 0;
SegmentTree<modint> segt(dpr[m]);
for (int j = 0; j < 100100; j++) {
int x = (j % b == 0 ? j / b : j / b + 1);
int y = j / a + 1;
ans += dpv[n][j] * (segt.query(x, 100100) - segt.query(y, 100100));
}
cout << ans << endl;
}
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