#432057 (C++17) No.992 最長増加部分列の数え上げ

提出ソース

結果

問題	No.992 最長増加部分列の数え上げ
ユーザー	knshnb
提出日時	2020-02-20 21:36:46
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	179 ms / 2,000 ms
コード長	5,541 bytes
コンパイル時間	2,677 ms
コンパイル使用メモリ	217,168 KB
実行使用メモリ	15,872 KB
最終ジャッジ日時	2024-04-17 06:31:03
合計ジャッジ時間	8,453 ms
ジャッジサーバーID （参考情報）	judge1 / judge4

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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	2 ms 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	1 ms 5,376 KB
testcase_04	AC	57 ms 7,936 KB
testcase_05	AC	41 ms 6,784 KB
testcase_06	AC	71 ms 9,216 KB
testcase_07	AC	51 ms 7,552 KB
testcase_08	AC	26 ms 5,504 KB
testcase_09	AC	51 ms 7,680 KB
testcase_10	AC	70 ms 9,204 KB
testcase_11	AC	92 ms 10,752 KB
testcase_12	AC	18 ms 5,376 KB
testcase_13	AC	49 ms 7,424 KB
testcase_14	AC	49 ms 7,296 KB
testcase_15	AC	18 ms 5,376 KB
testcase_16	AC	151 ms 14,592 KB
testcase_17	AC	27 ms 5,632 KB
testcase_18	AC	48 ms 7,168 KB
testcase_19	AC	93 ms 10,552 KB
testcase_20	AC	172 ms 15,680 KB
testcase_21	AC	170 ms 15,624 KB
testcase_22	AC	173 ms 15,564 KB
testcase_23	AC	179 ms 15,744 KB
testcase_24	AC	179 ms 15,728 KB
testcase_25	AC	168 ms 15,648 KB
testcase_26	AC	171 ms 15,584 KB
testcase_27	AC	172 ms 15,616 KB
testcase_28	AC	168 ms 15,744 KB
testcase_29	AC	168 ms 15,864 KB
testcase_30	AC	108 ms 15,580 KB
testcase_31	AC	108 ms 15,744 KB
testcase_32	AC	109 ms 15,744 KB
testcase_33	AC	108 ms 15,616 KB
testcase_34	AC	106 ms 15,628 KB
testcase_35	AC	112 ms 15,616 KB
testcase_36	AC	110 ms 15,580 KB
testcase_37	AC	110 ms 15,560 KB
testcase_38	AC	110 ms 15,592 KB
testcase_39	AC	111 ms 15,744 KB
testcase_40	AC	108 ms 15,744 KB
testcase_41	AC	112 ms 15,872 KB
testcase_42	AC	110 ms 15,620 KB
testcase_43	AC	110 ms 15,692 KB
testcase_44	AC	109 ms 15,724 KB

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ソースコード

raw source code

#include <bits/stdc++.h>  // clang-format off
using namespace std;
using Int = long long;
#define REP2(i, n) for (Int i = 0, max_i = (n); i < max_i; i++)
#define REP3(i, a, b) for (Int i = (a), max_i = (b); i < max_i; i++)
#define OVERLOAD2(_1, _2, _3, name, ...) name
#define REP(...) OVERLOAD2(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
struct SetupIO { SetupIO() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(13); } } setup_io;
#ifndef _MY_DEBUG
#define dump(...)
#endif  // clang-format on

/**
 *    author:  knshnb
 *    created: Thu Feb 20 21:05:46 JST 2020
 **/

template <class T> T pow(T x, int n, const T UNION = 1) {
    T ret = UNION;
    while (n) {
        if (n & 1) ret *= x;
        x *= x;
        n >>= 1;
    }
    return ret;
}

template <int MD> struct ModInt {
    int x;
    static unordered_map<int, int> to_inv;
    ModInt() : x(0) {}
    ModInt(long long x_) {
        if ((x = x_ % MD + MD) >= MD) x -= MD;
    }

    ModInt& operator+=(ModInt that) {
        if ((x += that.x) >= MD) x -= MD;
        return *this;
    }
    ModInt& operator*=(ModInt that) {
        x = (unsigned long long)x * that.x % MD;
        return *this;
    }
    ModInt& operator-=(ModInt that) {
        if ((x -= that.x) < 0) x += MD;
        return *this;
    }
    ModInt& operator/=(ModInt that) {
        x = (unsigned long long)x * that.inv().x % MD;
        return *this;
    }
    ModInt operator-() const { return -x < 0 ? MD - x : -x; }
    ModInt operator+(ModInt that) const { return ModInt(*this) += that; }
    ModInt operator*(ModInt that) const { return ModInt(*this) *= that; }
    ModInt operator-(ModInt that) const { return ModInt(*this) -= that; }
    ModInt operator/(ModInt that) const { return ModInt(*this) /= that; }
    bool operator==(ModInt that) const { return x == that.x; }
    bool operator!=(ModInt that) const { return x != that.x; }
    ModInt inv() const { return to_inv.count(this->x) ? to_inv[this->x] : (to_inv[this->x] = pow(*this, MD - 2).x); }

    friend ostream& operator<<(ostream& s, ModInt<MD> a) {
        s << a.x;
        return s;
    }
    friend istream& operator>>(istream& s, ModInt<MD>& a) {
        long long tmp;
        s >> tmp;
        a = ModInt<MD>(tmp);
        return s;
    }
    friend string to_string(ModInt<MD> a) { return to_string(a.x); }
};
template <int MD> unordered_map<int, int> ModInt<MD>::to_inv;
using mint = ModInt<1000000007>;

vector<mint> fact, fact_inv;
void init_factorial(int n) {
    fact = vector<mint>(n + 1, 1);
    fact_inv = vector<mint>(n + 1);
    for (int i = 0; i < n; i++) fact[i + 1] = fact[i] * (i + 1);
    fact_inv[n] = mint(1) / fact[n];
    for (int i = n - 1; i >= 0; i--) fact_inv[i] = fact_inv[i + 1] * (i + 1);
    // for (int i = 0; i < n + 1; i++) assert(fact[i] * fact_inv[i] == 1);
}
mint comb(int n, int r) { return fact[n] * fact_inv[r] * fact_inv[n - r]; }

template <class T, class F> struct SegmentTree {
    const F op;
    const T e;
    SegmentTree(F op_, T e_) : op(op_), e(e_) {}
    int n;
    vector<T> t;
    void set_by_identity(int n_) {
        n = n_;
        t.clear(), t.resize(2 * n, e);
    }
    void set_by_vector(const vector<T>& a) {
        n = a.size();
        t.clear(), t.resize(2 * n, e);
        for (int i = 0; i < n; i++) t[i + n] = a[i];
        build();
    }
    void build() {
        for (int i = n - 1; i; --i) t[i] = op(t[2 * i], t[2 * i + 1]);
    }
    T& operator[](int i) { return t[i + n]; }
    // [l, r)
    T query(int l, int r) const {
        assert(0 <= l && l <= r && r <= n);
        T resl = e, resr = e;
        for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
            if (l & 1) resl = op(resl, t[l++]);
            if (r & 1) resr = op(t[--r], resr);
        }
        return op(resl, resr);
    }
    // iをaに変更
    void update(int i, const T& x) {
        assert(0 <= i && i < n);
        i += n;
        t[i] = op(t[i], x);
        while (i >>= 1) t[i] = op(t[2 * i], t[2 * i + 1]);
    }
    friend string to_string(const SegmentTree<T, F>& seg) {
        return to_string(vector<T>(seg.t.begin() + seg.n, seg.t.end()));
    }
};
template <class T, class F> auto make_segment_tree(F op, T e) { return SegmentTree<T, F>(op, e); }

template <class T> struct Compressor {
    vector<T> sorted;
    Compressor(const vector<T>& a) : sorted(a) {
        sort(sorted.begin(), sorted.end());
        sorted.erase(unique(sorted.begin(), sorted.end()), sorted.end());
    }
    int get(T x) {
        auto it = lower_bound(sorted.begin(), sorted.end(), x);
        assert(*it == x);
        return it - sorted.begin();
    }
};

signed main() {
    Int n;
    cin >> n;
    vector<Int> a(n);
    REP(i, n) cin >> a[i];
    Compressor<Int> cp(a);
    // {max, max_num}
    auto seg = make_segment_tree<pair<Int, mint>>(
        [](pair<Int, mint> a, pair<Int, mint> b) -> pair<Int, mint> {
            mint num = 0;
            if (a.first >= b.first) num += a.second;
            if (a.first <= b.first) num += b.second;
            return {max(a.first, b.first), num};
        },
        {-1e18, 0});
    seg.set_by_vector(vector<pair<Int, mint>>(n + 1, {0, 0}));
    Int ma = -1;
    REP(i, n) {
        Int x = cp.get(a[i]) + 1;
        auto prv = seg.query(0, x);
        prv.first++;
        if (prv.second == 0) prv.second += 1;
        seg.update(x, prv);
        ma = max(ma, seg[x].first);
    }
    mint ans = 0;
    REP(i, n + 1) {
        if (seg[i].first == ma) ans += seg[i].second;
    }
    cout << ans << endl;
}

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結果

テストケース

ソースコード