#474820 (C++17) No.1043 直列大学

• 問題: No.1043 直列大学
• ユーザー: iiljj
• 提出日時: 2020-05-01 22:52:08
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 1,547 ms / 2,000 ms
• コード長: 10,246 bytes
• コンパイル時間: 2,839 ms
• コンパイル使用メモリ: 232,316 KB
• 実行使用メモリ: 19,324 KB
• 最終ジャッジ日時: 2024-12-22 19:38:28
• 合計ジャッジ時間: 20,178 ms
• ジャッジサーバーID （参考情報）: judge5 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,248 KB
testcase_02	AC	2 ms; 5,248 KB
testcase_03	AC	2 ms; 5,248 KB
testcase_04	AC	2 ms; 5,248 KB
testcase_05	AC	2 ms; 5,248 KB
testcase_06	AC	2 ms; 5,248 KB
testcase_07	AC	2 ms; 5,248 KB
testcase_08	AC	2 ms; 5,248 KB
testcase_09	AC	18 ms; 5,248 KB
testcase_10	AC	40 ms; 5,248 KB
testcase_11	AC	59 ms; 5,248 KB
testcase_12	AC	1,543 ms; 19,324 KB
testcase_13	AC	878 ms; 13,316 KB
testcase_14	AC	1,024 ms; 13,592 KB
testcase_15	AC	1,291 ms; 14,840 KB
testcase_16	AC	1,118 ms; 14,140 KB
testcase_17	AC	559 ms; 11,008 KB
testcase_18	AC	468 ms; 9,748 KB
testcase_19	AC	1,000 ms; 13,332 KB
testcase_20	AC	498 ms; 10,368 KB
testcase_21	AC	857 ms; 12,660 KB
testcase_22	AC	903 ms; 12,920 KB
testcase_23	AC	1,547 ms; 15,260 KB
testcase_24	AC	548 ms; 10,816 KB
testcase_25	AC	1,028 ms; 13,256 KB
testcase_26	AC	1,055 ms; 13,432 KB
testcase_27	AC	317 ms; 8,704 KB
testcase_28	AC	546 ms; 12,740 KB
testcase_29	AC	23 ms; 5,248 KB
testcase_30	AC	897 ms; 14,988 KB

ソースコード

/* #region Head */

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

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;

#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c)                                                                                                        \
    sort(ALL(c));                                                                                                      \
    for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());

#define endl '\n'
#define sqrt sqrtl
#define floor floorl
#define log2 log2l

constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;

template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector 入力
    for (T &x : vec) is >> x;
    return is;
}
template <typename T> ostream &operator<<(ostream &os, vc<T> &vec) { // vector 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}
template <typename T> ostream &operator>>(ostream &os, vc<T> &vec) { // vector 出力 (inline)
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
    return os;
}

template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair 入力
    is >> pair_var.first >> pair_var.second;
    return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, pair<T, U> &pair_var) { // pair 出力
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}

// map, um, set, us 出力
template <class T> ostream &out_iter(ostream &os, T &map_var) {
    os << "{";
    REPI(itr, map_var) {
        os << *itr;
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, map<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T, typename U> ostream &operator<<(ostream &os, um<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T> ostream &operator<<(ostream &os, set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, pq<T> &pq_var) {
    pq<T> pq_cp(pq_var);
    os << "{";
    if (!pq_cp.empty()) {
        os << pq_cp.top(), pq_cp.pop();
        while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
    }
    return os << "}";
}

// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&... tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) DUMPOUT << ", ";
    dump_func(move(tail)...);
}

// chmax (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
    if (comp(xmax, x)) {
        xmax = x;
        return true;
    }
    return false;
}

// chmin (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
    if (comp(x, xmin)) {
        xmin = x;
        return true;
    }
    return false;
}

// ローカル用
#define DEBUG_

#ifdef DEBUG_
#define DEB
#define dump(...)                                                                                                      \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                                                                    \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl                                        \
            << "    ",                                                                                                 \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif

struct AtCoderInitialize {
    static constexpr int IOS_PREC = 15;
    static constexpr bool AUTOFLUSH = false;
    AtCoderInitialize() {
        ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
        cout << fixed << setprecision(IOS_PREC);
        if (AUTOFLUSH) cout << unitbuf;
    }
} ATCODER_INITIALIZE;

string yes = "Yes", no = "No";
// string yes = "YES", no = "NO";
void yn(bool p) { cout << (p ? yes : no) << endl; }

/* #endregion */

/* #region mint */

// 自動で MOD を取る整数
struct mint {
    ll x;
    mint(ll x = 0) : x((x % MOD + MOD) % MOD) {}
    mint &operator+=(const mint a) {
        if ((x += a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint &operator-=(const mint a) {
        if ((x += MOD - a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint &operator*=(const mint a) {
        (x *= a.x) %= MOD;
        return *this;
    }
    mint operator+(const mint a) const {
        mint res(*this);
        return res += a;
    }
    mint operator-(const mint a) const {
        mint res(*this);
        return res -= a;
    }
    mint operator*(const mint a) const {
        mint res(*this);
        return res *= a;
    }
    // O(log(t))
    mint pow(ll t) const {
        if (!t) return 1;
        mint a = pow(t >> 1); // ⌊t/2⌋ 乗
        a *= a;               // ⌊t/2⌋*2 乗
        if (t & 1)            // ⌊t/2⌋*2 == t-1 のとき
            a *= *this;       // ⌊t/2⌋*2+1 乗 => t 乗
        return a;
    }

    // for prime mod
    mint inv() const {
        return pow(MOD - 2); // オイラーの定理から， x^(-1) ≡ x^(p-2)
    }
    mint &operator/=(const mint a) { return (*this) *= a.inv(); }
    mint operator/(const mint a) const {
        mint res(*this);
        return res /= a;
    }
    bool operator==(const mint a) const { return this->x == a.x; }
    bool operator==(const ll a) const { return this->x == a; }

    // mint 入力
    friend istream &operator>>(istream &is, mint &x) {
        is >> x.x;
        return is;
    }

    // mint 出力
    friend ostream &operator<<(ostream &os, mint x) {
        os << x.x;
        return os;
    }
};

/* #endregion */

/* #region Compress */

class CoordCompress {
    um<ll, ll> coord2zipped; // キーが座標値
    vll zipped2coord;        // 各要素が座標値
    ll sz;

  public:
    CoordCompress(vll coords) : sz(SIZE(coords)) {
        sort(ALL(coords));
        zipped2coord = coords;
        REP(i, 0, sz) coord2zipped[coords[i]] = i;
    }
    ll zip(ll coord) { return coord2zipped[coord]; }
    ll unzip(ll zipped) { return zipped2coord[zipped]; }

    // coord 以上の最小の座標値を返す
    ll coord_geq(ll coord) {
        auto it = lower_bound(ALL(zipped2coord), coord);
        if (it != zipped2coord.end()) return *it;
        return INF;
    }

    // coord より大きいの最小の座標値を返す
    ll coord_gt(ll coord) {
        auto it = upper_bound(ALL(zipped2coord), coord);
        if (it != zipped2coord.end()) return *it;
        return INF;
    }

    // coord 以下の最小の座標値を返す
    ll coord_leq(ll coord) {
        auto rit = lower_bound(zipped2coord.rbegin(), zipped2coord.rend(), coord,
                               [](ll const lhs, ll const rhs) { return lhs > rhs; });
        if (rit != zipped2coord.rend()) return *rit;
        return -INF;
    }

    // coord 未満の最小の座標値を返す
    ll coord_lt(ll coord) {
        auto rit = upper_bound(zipped2coord.rbegin(), zipped2coord.rend(), coord,
                               [](ll const lhs, ll const rhs) { return lhs > rhs; });
        if (rit != zipped2coord.rend()) return *rit;
        return -INF;
    }
};

/* #endregion */

// Problem
void solve() {
    ll n, m;
    cin >> n >> m;
    vll v(n), r(m);
    cin >> v >> r;
    ll a, b;
    cin >> a >> b;

    map<ll, mint> vmap;
    vmap[0] = 1;
    REP(i, 0, n) {
        map<ll, mint> vmap2 = vmap;
        REPI(itr, vmap) {
            vmap2[itr->first + v[i]];
            vmap2[itr->first + v[i]] += itr->second;
        }
        vmap = vmap2;
    }
    map<ll, mint> rmap;
    rmap[0] = 1;
    REP(i, 0, m) {
        map<ll, mint> rmap2 = rmap;
        REPI(itr, rmap) {
            rmap2[itr->first + r[i]];
            rmap2[itr->first + r[i]] += itr->second;
        }
        rmap = rmap2;
    }
    vll voltages;
    vc<mint> cntaccum{0};
    REPI(itr, vmap) {
        if (itr->first == 0) continue;
        voltages.push_back(itr->first);
        cntaccum.push_back(itr->second + cntaccum.back());
    }
    CoordCompress cc(voltages);
    // dump(voltages, vmap, cntaccum, rmap);

    mint ret = 0;
    REPI(itr, rmap) {
        if (itr->first == 0) continue;
        auto [rsum, rcnt] = *itr;
        ll ar = cc.coord_lt(a * rsum);
        ll br = cc.coord_leq(b * rsum);
        // dump(rsum, ar, br);
        if (br == -INF)
            continue;
        else if (ar == -INF)
            ret += rcnt * cntaccum[cc.zip(br) + 1];
        else
            ret += rcnt * (cntaccum[cc.zip(br) + 1] - cntaccum[cc.zip(ar) + 1]);
    }
    cout << ret << endl;
}

// entry point
int main() {
    solve();
    return 0;
}