結果

問題 No.1864 Shortest Paths Counting
コンテスト
ユーザー tokusakurai
提出日時 2022-03-04 22:47:46
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 238 ms / 2,000 ms
コード長 7,021 bytes
コンパイル時間 2,713 ms
コンパイル使用メモリ 211,272 KB
最終ジャッジ日時 2025-01-28 06:03:41
ジャッジサーバーID
（参考情報） 		judge2 / judge2
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ファイルパターン 結果
sample AC * 4
other AC * 23
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 <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < n; i++)
#define rep2(i, x, n) for (int i = x; i <= n; i++)
#define rep3(i, x, n) for (int i = x; i >= n; i--)
#define each(e, v) for (auto &e : v)
#define pb push_back
#define eb emplace_back
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;

template <typename T>
bool chmax(T &x, const T &y) {
    return (x < y) ? (x = y, true) : false;
}

template <typename T>
bool chmin(T &x, const T &y) {
    return (x > y) ? (x = y, true) : false;
}

template <typename T>
int flg(T x, int i) {
    return (x >> i) & 1;
}

template <typename T>
void print(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');
    if (v.empty()) cout << '\n';
}

template <typename T>
void printn(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << '\n';
}

template <typename T>
int lb(const vector<T> &v, T x) {
    return lower_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
int ub(const vector<T> &v, T x) {
    return upper_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
void rearrange(vector<T> &v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template <typename T>
vector<int> id_sort(const vector<T> &v, bool greater = false) {
    int n = v.size();
    vector<int> ret(n);
    iota(begin(ret), end(ret), 0);
    sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; });
    return ret;
}

template <typename S, typename T>
pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first + q.first, p.second + q.second);
}

template <typename S, typename T>
pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first - q.first, p.second - q.second);
}

template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &p) {
    S a;
    T b;
    is >> a >> b;
    p = make_pair(a, b);
    return is;
}

template <typename S, typename T>
ostream &operator<<(ostream &os, const pair<S, T> &p) {
    return os << p.first << ' ' << p.second;
}

struct io_setup {
    io_setup() {
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        cout << fixed << setprecision(15);
    }
} io_setup;

const int inf = (1 << 30) - 1;
const ll INF = (1LL << 60) - 1;
// const int MOD = 1000000007;
const int MOD = 998244353;

template <int mod>
struct Mod_Int {
    int x;

    Mod_Int() : x(0) {}

    Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

    static int get_mod() { return mod; }

    Mod_Int &operator+=(const Mod_Int &p) {
        if ((x += p.x) >= mod) x -= mod;
        return *this;
    }

    Mod_Int &operator-=(const Mod_Int &p) {
        if ((x += mod - p.x) >= mod) x -= mod;
        return *this;
    }

    Mod_Int &operator*=(const Mod_Int &p) {
        x = (int)(1LL * x * p.x % mod);
        return *this;
    }

    Mod_Int &operator/=(const Mod_Int &p) {
        *this *= p.inverse();
        return *this;
    }

    Mod_Int &operator++() { return *this += Mod_Int(1); }

    Mod_Int operator++(int) {
        Mod_Int tmp = *this;
        ++*this;
        return tmp;
    }

    Mod_Int &operator--() { return *this -= Mod_Int(1); }

    Mod_Int operator--(int) {
        Mod_Int tmp = *this;
        --*this;
        return tmp;
    }

    Mod_Int operator-() const { return Mod_Int(-x); }

    Mod_Int operator+(const Mod_Int &p) const { return Mod_Int(*this) += p; }

    Mod_Int operator-(const Mod_Int &p) const { return Mod_Int(*this) -= p; }

    Mod_Int operator*(const Mod_Int &p) const { return Mod_Int(*this) *= p; }

    Mod_Int operator/(const Mod_Int &p) const { return Mod_Int(*this) /= p; }

    bool operator==(const Mod_Int &p) const { return x == p.x; }

    bool operator!=(const Mod_Int &p) const { return x != p.x; }

    Mod_Int inverse() const {
        assert(*this != Mod_Int(0));
        return pow(mod - 2);
    }

    Mod_Int pow(long long k) const {
        Mod_Int now = *this, ret = 1;
        for (; k > 0; k >>= 1, now *= now) {
            if (k & 1) ret *= now;
        }
        return ret;
    }

    friend ostream &operator<<(ostream &os, const Mod_Int &p) { return os << p.x; }

    friend istream &operator>>(istream &is, Mod_Int &p) {
        long long a;
        is >> a;
        p = Mod_Int<mod>(a);
        return is;
    }
};

using mint = Mod_Int<MOD>;

template <typename Operator_Monoid>
struct Dual_Segment_Tree {
    using H = function<Operator_Monoid(Operator_Monoid, Operator_Monoid)>;
    int n, height;
    vector<Operator_Monoid> lazy;
    const H h;
    const Operator_Monoid e2;

    Dual_Segment_Tree(int m, const H &h, const Operator_Monoid &e2) : h(h), e2(e2) {
        n = 1, height = 0;
        while (n < m) n <<= 1, height++;
        lazy.assign(2 * n, e2);
    }

    inline void eval(int i) {
        if (i < n && lazy[i] != e2) {
            lazy[2 * i] = h(lazy[2 * i], lazy[i]);
            lazy[2 * i + 1] = h(lazy[2 * i + 1], lazy[i]);
            lazy[i] = e2;
        }
    }

    inline void thrust(int i) {
        for (int j = height; j > 0; j--) eval(i >> j);
    }

    void apply(int l, int r, const Operator_Monoid &x) {
        l = max(l, 0), r = min(r, n);
        if (l >= r) return;
        l += n, r += n;
        thrust(l), thrust(r - 1);
        while (l < r) {
            if (l & 1) lazy[l] = h(lazy[l], x), l++;
            if (r & 1) r--, lazy[r] = h(lazy[r], x);
            l >>= 1, r >>= 1;
        }
    }

    Operator_Monoid get(int i) {
        thrust(i + n);
        return lazy[i + n];
    }

    Operator_Monoid operator[](int i) { return get(i); }
};

int main() {
    int N;
    cin >> N;

    vector<ll> x(N), y(N);
    rep(i, N) cin >> x[i] >> y[i];

    ll dx = abs(x[N - 1] - x[0]), dy = abs(y[N - 1] - y[0]);
    if (dx > dy) {
        rep(i, N) swap(x[i], y[i]); //
    }
    if (y[N - 1] > y[0]) {
        rep(i, N) y[i] *= -1; //
    }

    vector<ll> a(N), b(N);
    rep(i, N) {
        a[i] = x[i] - y[i];
        b[i] = x[i] + y[i];
    }
    vector<ll> bs = b;
    rearrange(bs);
    int K = sz(bs);

    vector<int> v(N);
    iota(all(v), 0);
    sort(all(v), [&](int i, int j) {
        if (a[i] != a[j]) return a[i] < a[j];
        return b[i] > b[j];
    });

    // rep(i, N) cout << x[i] << ' ' << y[i] << ' ' << a[i] << ' ' << b[i] << '\n';
    // print(v);

    vector<mint> dp(N + 1, 0);
    dp[0] = 1;

    auto h = [](mint a, mint b) { return a + b; };
    Dual_Segment_Tree<mint> seg(K, h, 0);

    each(e, v) {
        int l = lb(bs, b[N - 1]), r = lb(bs, b[e]);
        dp[e] += seg[r];
        if (r >= l) seg.apply(l, r + 1, dp[e]);
    }

    cout << dp[N - 1] << '\n';
}
0