結果

問題 No.2332 Make a Sequence
ユーザー torisasami4torisasami4
提出日時 2023-05-28 15:46:56
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 185 ms / 2,000 ms
コード長 9,669 bytes
コンパイル時間 3,309 ms
コンパイル使用メモリ 233,720 KB
実行使用メモリ 22,872 KB
最終ジャッジ日時 2023-08-27 12:58:01
合計ジャッジ時間 13,673 ms
ジャッジサーバーID
(参考情報)
judge11 / judge14
このコードへのチャレンジ
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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 1 ms
4,380 KB
testcase_01 AC 2 ms
4,380 KB
testcase_02 AC 1 ms
4,380 KB
testcase_03 AC 2 ms
4,380 KB
testcase_04 AC 2 ms
4,380 KB
testcase_05 AC 2 ms
4,380 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 62 ms
7,952 KB
testcase_08 AC 24 ms
5,100 KB
testcase_09 AC 50 ms
7,284 KB
testcase_10 AC 49 ms
6,672 KB
testcase_11 AC 35 ms
5,672 KB
testcase_12 AC 75 ms
9,320 KB
testcase_13 AC 74 ms
9,356 KB
testcase_14 AC 75 ms
9,328 KB
testcase_15 AC 75 ms
9,424 KB
testcase_16 AC 75 ms
9,432 KB
testcase_17 AC 76 ms
9,560 KB
testcase_18 AC 76 ms
9,364 KB
testcase_19 AC 76 ms
9,516 KB
testcase_20 AC 75 ms
9,364 KB
testcase_21 AC 76 ms
9,320 KB
testcase_22 AC 79 ms
9,368 KB
testcase_23 AC 79 ms
9,516 KB
testcase_24 AC 78 ms
9,312 KB
testcase_25 AC 78 ms
9,364 KB
testcase_26 AC 78 ms
9,272 KB
testcase_27 AC 84 ms
10,420 KB
testcase_28 AC 84 ms
10,572 KB
testcase_29 AC 84 ms
10,324 KB
testcase_30 AC 85 ms
10,320 KB
testcase_31 AC 84 ms
10,348 KB
testcase_32 AC 105 ms
15,100 KB
testcase_33 AC 104 ms
15,076 KB
testcase_34 AC 103 ms
15,172 KB
testcase_35 AC 104 ms
15,104 KB
testcase_36 AC 104 ms
15,128 KB
testcase_37 AC 98 ms
14,124 KB
testcase_38 AC 98 ms
14,172 KB
testcase_39 AC 104 ms
15,500 KB
testcase_40 AC 98 ms
13,800 KB
testcase_41 AC 95 ms
13,324 KB
testcase_42 AC 135 ms
21,700 KB
testcase_43 AC 134 ms
21,836 KB
testcase_44 AC 137 ms
21,412 KB
testcase_45 AC 138 ms
22,784 KB
testcase_46 AC 138 ms
22,832 KB
testcase_47 AC 184 ms
22,836 KB
testcase_48 AC 185 ms
22,828 KB
testcase_49 AC 184 ms
22,824 KB
testcase_50 AC 184 ms
22,872 KB
testcase_51 AC 184 ms
22,756 KB
testcase_52 AC 88 ms
11,172 KB
testcase_53 AC 85 ms
10,744 KB
testcase_54 AC 84 ms
10,424 KB
testcase_55 AC 87 ms
11,212 KB
testcase_56 AC 88 ms
11,480 KB
testcase_57 AC 84 ms
10,484 KB
testcase_58 AC 84 ms
10,484 KB
testcase_59 AC 85 ms
10,348 KB
testcase_60 AC 87 ms
10,892 KB
testcase_61 AC 84 ms
10,324 KB
testcase_62 AC 149 ms
19,584 KB
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 #

// #define _GLIBCXX_DEBUG
#pragma GCC optimize("O2,no-stack-protector,unroll-loops,fast-math")
#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < int(n); i++)
#define per(i, n) for (int i = (n)-1; 0 <= i; i--)
#define rep2(i, l, r) for (int i = (l); i < int(r); i++)
#define per2(i, l, r) for (int i = (r)-1; int(l) <= i; i--)
#define each(e, v) for (auto& e : v)
#define MM << " " <<
#define pb push_back
#define eb emplace_back
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sz(x) (int)x.size()
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';
}
using ll = long long;
using pii = pair<int, 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 <class T>
using minheap = std::priority_queue<T, std::vector<T>, std::greater<T>>;
template <class T> using maxheap = std::priority_queue<T>;
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));
}

// __int128_t gcd(__int128_t a, __int128_t b) {
//     if (a == 0)
//         return b;
//     if (b == 0)
//         return a;
//     __int128_t cnt = a % b;
//     while (cnt != 0) {
//         a = b;
//         b = cnt;
//         cnt = a % b;
//     }
//     return b;
// }

long long extGCD(long long a, long long b, long long& x, long long& y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    long long d = extGCD(b, a % b, y, x);
    y -= a / b * x;
    return d;
}

struct UnionFind {
    vector<int> data;
    int num;

    UnionFind(int sz) {
        data.assign(sz, -1);
        num = sz;
    }

    bool unite(int x, int y) {
        x = find(x), y = find(y);
        if (x == y) return (false);
        if (data[x] > data[y]) swap(x, y);
        data[x] += data[y];
        data[y] = x;
        num--;
        return (true);
    }

    int find(int k) {
        if (data[k] < 0) return (k);
        return (data[k] = find(data[k]));
    }

    int size(int k) { return (-data[find(k)]); }

    bool same(int x, int y) { return find(x) == find(y); }

    int operator[](int k) { return find(k); }
};

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;
    }
};

ll mpow2(ll x, ll n, ll mod) {
    ll ans = 1;
    x %= mod;
    while (n != 0) {
        if (n & 1) ans = ans * x % mod;
        x = x * x % mod;
        n = n >> 1;
    }
    ans %= mod;
    return ans;
}

template <typename T> T modinv(T a, const T& m) {
    T b = m, u = 1, v = 0;
    while (b > 0) {
        T t = a / b;
        swap(a -= t * b, b);
        swap(u -= t * v, v);
    }
    return u >= 0 ? u % m : (m - (-u) % m) % m;
}

ll divide_int(ll a, ll b) {
    if (b < 0) a = -a, b = -b;
    return (a >= 0 ? a / b : (a - b + 1) / b);
}

// const int MOD = 1000000007;
const int MOD = 998244353;
using mint = Mod_Int<MOD>;

mint mpow(mint x, ll n) {
    bool rev = n < 0;
    n = abs(n);
    mint ans = 1;
    while (n != 0) {
        if (n & 1) ans *= x;
        x *= x;
        n = n >> 1;
    }
    return (rev ? ans.inverse() : ans);
}

// ----- library -------
template <typename T>
vector<int> z_algorithm(const T &s) {
    int n = s.size();
    vector<int> ret(n);
    ret[0] = n;
    int i = 1, j = 0;
    while (i < n) {
        while (i + j < n && s[j] == s[i + j]) j++;
        ret[i] = j;
        if (j == 0) {
            i++;
            continue;
        }
        int k = 1;
        while (i + k < n && k + ret[k] < j) ret[i + k] = ret[k], k++;
        i += k, j -= k;
    }
    return ret;
}

template <typename T, T min_x, T max_x, bool is_min = true>
struct Li_Chao_Tree {
    struct Line {
        T a, b;

        Line(const T &a, const T &b) : a(a), b(b) {}

        T get(const T &x) const { return a * x + b; }
    };

    struct Node {
        Node *lch, *rch;
        Line l;

        Node(const Line &l) : lch(NULL), rch(NULL), l(l) {}

        Node(const T &a, const T &b) : lch(NULL), rch(NULL), l(a, b) {}
    };

    Node *root;
    const T INF_T = numeric_limits<T>::max() / 2;

    Li_Chao_Tree() : root(NULL) {}

    ~Li_Chao_Tree() { rec_delete(root); }

    void rec_delete(Node *now) {
        if (!now) return;
        rec_delete(now->lch), rec_delete(now->rch);
        delete now;
    }

    Node *add_line(const Line &k, Node *now, const T &l, const T &r) {
        if (!now) return new Node(k);
        T l1 = now->l.get(l), l2 = k.get(l);
        T r1 = now->l.get(r), r2 = k.get(r);
        if (l1 <= l2 && r1 <= r2) return now;
        if (l1 >= l2 && r1 >= r2) {
            now->l = k;
            return now;
        }
        T m = (l + r - 1) / 2;
        T m1 = now->l.get(m), m2 = k.get(m);
        if (m1 > m2) {
            if (l1 <= l2) {
                now->lch = add_line(now->l, now->lch, l, m);
            } else {
                now->rch = add_line(now->l, now->rch, m + 1, r);
            }
            now->l = k;
        } else {
            if (l1 >= l2) {
                now->lch = add_line(k, now->lch, l, m);
            } else {
                now->rch = add_line(k, now->rch, m + 1, r);
            }
        }
        return now;
    }

    // 直線 y = ax+b を追加
    void add_line(const T &a, const T &b) {
        Line k(is_min ? a : -a, is_min ? b : -b);
        root = add_line(k, root, min_x, max_x);
    }

    Node *add_segment(const T &s, const T &t, const Line &k, Node *now, const T &l, const T &r) {
        if (r < s || t < l) return now;
        if (s <= l && r <= t) return add_line(k, now, l, r);
        T m = (l + r - 1) / 2;
        if (!now) now = new Node(0, INF_T);
        now->lch = add_segment(s, t, k, now->lch, l, m);
        now->rch = add_segment(s, t, k, now->rch, m + 1, r);
        return now;
    }

    // [l,r) に直線 y = ax+b を追加
    void add_segment(const T &l, const T &r, const T &a, const T &b) {
        Line k(is_min ? a : -a, is_min ? b : -b);
        root = add_segment(l, r - 1, k, root, min_x, max_x);
    }

    T query(const T &x, Node *now, const T &l, const T &r) const {
        if (!now) return INF_T;
        if (l == r) return now->l.get(x);
        T m = (l + r - 1) / 2;
        if (x <= m) return min(now->l.get(x), query(x, now->lch, l, m));
        return min(now->l.get(x), query(x, now->rch, m + 1, r));
    }

    T query(const T &x) const {
        T ret = query(x, root, min_x, max_x);
        return is_min ? ret : -ret;
    }
};
// ----- library -------

int main() {
    ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    cout << fixed << setprecision(15);

    int n, m;
    cin >> n >> m;
    vector<int> a(n), b(m), c(m);
    rep(i, n) cin >> a[i];
    rep(i, m) cin >> b[i];
    rep(i, m) cin >> c[i];
    vector<int> ab(n + m);
    rep(i, n) ab[i] = a[i];
    rep(i, m) ab[i + n] = b[i];
    auto ret = z_algorithm(ab);
    vector<int> lim(m);
    rep(i, m) lim[i] = min(n, ret[i + n]);
    Li_Chao_Tree<ll, 0, (int)3e5> lct;
    lct.add_segment(0, 1, 0, 0);
    rep(i, m) {
        ll val = lct.query(i);
        if (lim[i] > 0)
            lct.add_segment(i + 1, i + lim[i] + 1, c[i], val - (ll)c[i] * i);
    }
    ll ans = lct.query(m);
    cout << (ans < 1e18 ? ans : -1) << endl;
}
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