結果

問題 No.1188 レベルX門松列
ユーザー Konton7Konton7
提出日時 2020-08-23 21:59:24
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 281 ms / 2,000 ms
コード長 8,470 bytes
コンパイル時間 3,674 ms
コンパイル使用メモリ 234,872 KB
実行使用メモリ 19,992 KB
最終ジャッジ日時 2024-10-15 19:21:57
合計ジャッジ時間 6,012 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge2
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 38 ms
6,400 KB
testcase_01 AC 178 ms
12,832 KB
testcase_02 AC 158 ms
12,324 KB
testcase_03 AC 217 ms
14,168 KB
testcase_04 AC 182 ms
19,992 KB
testcase_05 AC 2 ms
5,248 KB
testcase_06 AC 24 ms
6,528 KB
testcase_07 AC 149 ms
13,388 KB
testcase_08 AC 153 ms
13,260 KB
testcase_09 AC 2 ms
5,248 KB
testcase_10 AC 2 ms
5,248 KB
testcase_11 AC 16 ms
5,248 KB
testcase_12 AC 15 ms
5,248 KB
testcase_13 AC 19 ms
5,248 KB
testcase_14 AC 150 ms
12,812 KB
testcase_15 AC 281 ms
19,748 KB
testcase_16 AC 4 ms
5,248 KB
testcase_17 AC 210 ms
17,048 KB
testcase_18 AC 2 ms
5,248 KB
testcase_19 AC 195 ms
16,396 KB
testcase_20 AC 2 ms
5,248 KB
testcase_21 AC 2 ms
5,248 KB
testcase_22 AC 2 ms
5,248 KB
testcase_23 AC 2 ms
5,248 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 # 

#include <bits/stdc++.h>

using namespace std;
using ll = long long;
using VI = vector<int>;
using VL = vector<ll>;
using VS = vector<string>;
using VB = vector<bool>;
using VVB = vector<vector<bool>>;
using VVI = vector<VI>;
using VVL = vector<VL>;
using PII = std::pair<int, int>;
using VPII = std::vector<std::pair<int, int>>;
using PLL = std::pair<ll, ll>;
using VPLL = std::vector<std::pair<ll, ll>>;
using TI3 = std::tuple<int, int, int>;
using TI4 = std::tuple<int, int, int, int>;
using TL3 = std::tuple<ll, ll, ll>;
using TL4 = std::tuple<ll, ll, ll, ll>;

#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep2(i, s, n) for (int i = (s); i < (int)(n); i++)
#define rep3(i, s, n, d) for (int i = (s); i < (int)(n); i += (d))
#define allpt(v) (v).begin(), (v).end()
#define allpt_c(v) (v).cbegin(), (v).cend()
#define allpt_r(v) (v).rbegin(), (v).rend()
#define allpt_cr(v) (v).crbegin(), (v).crend()

const int mod1 = 1e9 + 7, mod2 = 998244353, mod3 = 1e9 + 9;
const int mod = mod1;
const ll inf = 1e18;

const string wsp = " ";
const string tb = "\t";
const string rt = "\n";
const string alphabets = "abcdefghijklmnopqrstuvwxyz";

template <typename T>
void show1dvec(const vector<T> &v) {
    if (v.size() == 0) return;
    int n = v.size() - 1;
    rep(i, n) cout << v[i] << wsp;
    cout << v[n] << rt;

    return;
}

template <typename T>
void show2dvec(const vector<vector<T>> &v) {
    int n = v.size();
    rep(i, n) show1dvec(v[i]);
}

template <typename T, typename S>
void show1dpair(const vector<pair<T, S>> &v) {
    int n = v.size();
    rep(i, n) cout << v[i].first << wsp << v[i].second << rt;
    return;
}

template <typename T, typename S>
void pairzip(const vector<pair<T, S>> &v, vector<T> &t, vector<T> &s) {
    int n = v.size();
    rep(i, n) {
        t.push_back(v[i].first);
        s.push_back(v[i].second);
    }
    return;
}

template <typename T>
void maxvec(vector<T> &v) {
    T s = v[0];
    int n = v.size();
    rep(i, n - 1) {
        if (s > v[i + 1]) {
            v[i + 1] = s;
        }
        s = v[i + 1];
    }
}

template <typename T, typename S>
bool myfind(T t, S s) {
    return find(t.cbegin(), t.cend(), s) != t.cend();
}

bool check(int y, int x, int h, int w) {
    return 0 <= y && y < h && 0 <= x && x < w;
}

bool iskadomatsu(int a, int b, int c) {
    return (a != b && b != c && c != a) &&
           ((a > b && b < c) || (a < b && b > c));
}

double euc_dist(PII a, PII b) {
    return sqrt(pow(a.first - b.first, 2) + pow(a.second - b.second, 2));
}

VS split(string s, char c) {
    VS ret;
    string part;
    s += c;
    rep(i, s.length()) {
        if (s[i] == c) {
            ret.emplace_back(part);
            part = "";
        } else if (s[i] != c) {
            part += s[i];
        }
    }
    return ret;
}

template <typename T, typename S, typename R>
ll pow_mod(T p, S q, R mod = 1ll) {
    ll ret = 1, r = p;
    while (q) {
        if (q % 2) ret *= r, ret %= mod;
        r = (r * r) % mod, q /= 2;
    }
    return ret % mod;
}

template <typename T, typename S>
ll pow_no_mod(T p, S q) {
    ll ret = 1, r = p;
    while (q) {
        if (q % 2) ret *= r;
        r = (r * r), q /= 2;
    }
    return ret;
}

void make_frac_tables(VL &frac_list, VL &frac_inv_list) {
    rep(i, frac_list.size() - 1) {
        frac_list[i + 1] *= frac_list[i] * (i + 1);
        frac_list[i + 1] %= mod;
        frac_inv_list[i + 1] *= frac_inv_list[i] * pow_mod(i + 1, mod - 2, mod);
        frac_inv_list[i + 1] %= mod;
    }
}

pair<VL, VL> make_frac_tables(int n) {
    VL frac_list(n + 1, 1), frac_inv_list(n + 1, 1);
    rep(i, n) {
        frac_list[i + 1] *= frac_list[i] * (i + 1);
        frac_list[i + 1] %= mod;
        frac_inv_list[i + 1] *= frac_inv_list[i] * pow_mod(i + 1, mod - 2, mod);
        frac_inv_list[i + 1] %= mod;
    }
    return make_pair(frac_list, frac_inv_list);
}

ll comb(int a, int b, const VL &frac_list, const VL &frac_inv_list) {
    if (a < b) return 0;
    if (b < 0) return 0;
    ll ret = frac_list[a];
    ret *= frac_inv_list[b];
    ret %= mod;
    ret *= frac_inv_list[a - b];
    ret %= mod;
    return ret;
}

void djkstra(int n, int s, int t, const vector<set<int>> &connect) {
    const int intm = 1e9;
    vector<int> shortest(n, intm);
    shortest[s] = 0;
    vector<int> search = {s};
    vector<int> new_search;
    while (!search.empty()) {
        for (auto i : search) {
            for (auto j : connect[i]) {
                if (shortest[j] > 1 + shortest[i]) {
                    shortest[j] = 1 + shortest[i];
                    new_search.emplace_back(j);
                }
            }
        }
        search.clear();
        search = new_search;
        new_search.clear();
        // show1dvec(search);
        // show1dvec(shortest);
    }
    if (shortest[t] == intm) shortest[t] = -1;
    printf("%d\n", shortest[t]);
}

template <typename T>
void coordinate_compress(vector<T> &x, map<T, int> &zip, int &xs) {
    sort(x.begin(), x.end());
    x.erase(unique(x.begin(), x.end()), x.end());
    xs = x.size();
    for (int i = 0; i < xs; i++) {
        zip[x[i]] = i;
    }
}

class RangeMinorMaxorSumQuery  // 0-index
{
    int const intmax = 2147483647;
    int const intmin = 0;
    vector<int> sgt;
    int n;
    int k;

   public:
    RangeMinorMaxorSumQuery(int n1, int f = -1) {
        if (f == -1)
            f = intmax;
        else if (f == 0)
            f = intmin;
        int na = 1;
        int ka = 0;
        while (na < n1) {
            na *= 2;
            ka++;
        }
        for (int i = 0; i < 2 * na; i++) sgt.push_back(f);
        n = na;
        k = ka;
    }

    void update_max(int i, int x) {
        i += n;
        sgt[i] = x;
        while (i > 1) {
            i /= 2;
            sgt[i] = max(sgt[2 * i], sgt[2 * i + 1]);
        }
    }

    int getmax(int a, int b, int k = 1, int l = 0,
               int r = -1)  //閉区間 l <= x < r とする
    {
        if (r == -1) r = n;
        if (r <= a || b <= l) return intmin;
        if (a == l && b == r)
            return sgt[k];
        else
            return max(
                getmax(a, min(b, (l + r) / 2), 2 * k, l, (l + r) / 2),
                getmax(max(a, (l + r) / 2), b, 2 * k + 1, (l + r) / 2, r));
    }

    void printsegtree() {
        for (int i = 0; i < 2 * n; i++) {
            cout << sgt[i] << " ";
        }
        cout << endl;
    }
};


int main() {
    // cin.tie(0);
    // ios::sync_with_stdio(false);

#ifdef DEBUG
    cout << "DEBUG MODE" << endl;
    ifstream in("input.txt");  // for debug
    cin.rdbuf(in.rdbuf());     // for debug
#endif

    int n, xs, p, q;
    map<int, int> xzip, xzip_inv;
    cin >> n;
    VI a_list(n), b_list(n), a_inv_list(n), b_inv_list(n);
    rep(i, n) {
        cin >> a_list[i];
        b_list[i] = a_list[i];
        a_inv_list[i] = -a_list[i];
        b_inv_list[i] = -a_list[i];
    }

    coordinate_compress(b_list, xzip, xs);
    coordinate_compress(b_inv_list, xzip_inv, xs);
    rep(i, n) { a_list[i] = xzip[a_list[i]]; }
    rep(i, n) { a_inv_list[i] = xzip_inv[a_inv_list[i]]; }

    // show1dvec(a_list);
    // show1dvec(a_inv_list);
    // cout << xs << rt;

    RangeMinorMaxorSumQuery sgt_order(xs, 0);
    RangeMinorMaxorSumQuery sgt_rev(xs, 0);
    RangeMinorMaxorSumQuery inv_sgt_order(xs, 0);
    RangeMinorMaxorSumQuery inv_sgt_rev(xs, 0);
    VI order_list(n), rev_list(n), inv_order_list(n), inv_rev_list(n);
    rep(i, n) {
        p = sgt_order.getmax(0, a_list[i]) + 1;
        sgt_order.update_max(a_list[i], p);
        order_list[i] = p;
        q = inv_sgt_order.getmax(0, a_inv_list[i]) + 1;
        inv_sgt_order.update_max(a_inv_list[i], q);
        inv_order_list[i] = q;
    }
    repr(i, n) {
        p = sgt_rev.getmax(0, a_list[i]) + 1;
        sgt_rev.update_max(a_list[i], p);
        rev_list[i] = p;
        q = inv_sgt_rev.getmax(0, a_inv_list[i]) + 1;
        inv_sgt_rev.update_max(a_inv_list[i], q);
        inv_rev_list[i] = q;
    }

    // sgt_order.printsegtree();
    // sgt_rev.printsegtree();

    // show1dvec(order_list);
    // show1dvec(rev_list);
    // show1dvec(inv_order_list);
    // show1dvec(inv_rev_list);

    int ans = 0;
    rep(i, n) {
        ans = max(ans, min(order_list[i], rev_list[i]) - 1);
        ans = max(ans, min(inv_order_list[i], inv_rev_list[i]) - 1);
    }
    cout << ans << rt;
    return 0;
}
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