結果

問題 No.1997 X Lighting
ユーザー iiljjiiljj
提出日時 2022-07-01 23:18:00
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 108 ms / 2,000 ms
コード長 13,430 bytes
コンパイル時間 1,758 ms
コンパイル使用メモリ 154,244 KB
実行使用メモリ 13,724 KB
最終ジャッジ日時 2023-08-17 11:01:05
合計ジャッジ時間 4,739 ms
ジャッジサーバーID
(参考情報)
judge13 / 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
4,376 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 2 ms
4,380 KB
testcase_04 AC 1 ms
4,380 KB
testcase_05 AC 4 ms
4,380 KB
testcase_06 AC 18 ms
5,176 KB
testcase_07 AC 1 ms
4,380 KB
testcase_08 AC 3 ms
4,380 KB
testcase_09 AC 2 ms
4,380 KB
testcase_10 AC 2 ms
4,380 KB
testcase_11 AC 2 ms
4,380 KB
testcase_12 AC 1 ms
4,380 KB
testcase_13 AC 29 ms
6,368 KB
testcase_14 AC 87 ms
13,724 KB
testcase_15 AC 26 ms
6,060 KB
testcase_16 AC 36 ms
6,960 KB
testcase_17 AC 83 ms
11,812 KB
testcase_18 AC 46 ms
7,936 KB
testcase_19 AC 97 ms
13,300 KB
testcase_20 AC 108 ms
13,628 KB
testcase_21 AC 108 ms
13,584 KB
testcase_22 AC 99 ms
13,352 KB
testcase_23 AC 55 ms
8,600 KB
testcase_24 AC 3 ms
4,376 KB
testcase_25 AC 104 ms
13,380 KB
testcase_26 AC 88 ms
11,760 KB
testcase_27 AC 91 ms
12,072 KB
testcase_28 AC 28 ms
6,300 KB
testcase_29 AC 28 ms
6,032 KB
testcase_30 AC 101 ms
12,916 KB
testcase_31 AC 66 ms
9,784 KB
testcase_32 AC 18 ms
5,112 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 #

/* #region Head */

// #include <bits/stdc++.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert> // assert.h
#include <cmath>   // math.h
#include <cstring>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <memory>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
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 TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i))
#define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i))
#define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i))
#define TREPD(T, i, m, n, d) for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d))
#define TREPMD(T, i, m, n, d) for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d))

#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 REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define ISIZE(x) ((int)(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 CEIL(a, b) (((a) + (b)-1) / (b))

#define endl '\n'

constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr int IINF = 1'000'000'007LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
// constexpr ll MOD = 998244353;
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, const 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, const 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, size_t _Nm> istream &operator>>(istream &is, array<T, _Nm> &arr) { // array 入力
    REP(i, 0, SIZE(arr)) is >> arr[i];
    return is;
}
template <typename T, size_t _Nm> ostream &operator<<(ostream &os, const array<T, _Nm> &arr) { // array 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    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, const 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, const 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, const map<T, U> &map_var) {
    return out_iter(os, map_var);
}
template <typename T, typename U> ostream &operator<<(ostream &os, const um<T, U> &map_var) {
    os << "{";
    REPI(itr, map_var) {
        auto [key, value] = *itr;
        os << "(" << key << ", " << value << ")";
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    os << "}";
    return os;
}
template <typename T> ostream &operator<<(ostream &os, const set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, const us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, const 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 << "}";
}

// tuple 出力
template <size_t N = 0, bool end_line = false, typename... Args> ostream &operator<<(ostream &os, tuple<Args...> &a) {
    if constexpr (N < std::tuple_size_v<tuple<Args...>>) {
        os << get<N>(a);
        if constexpr (N + 1 < std::tuple_size_v<tuple<Args...>>) {
            os << ' ';
        } else if constexpr (end_line) {
            os << '\n';
        }
        return operator<< <N + 1, end_line>(os, a);
    }
    return os;
}
template <typename... Args> void print_tuple(tuple<Args...> &a) { operator<< <0, true>(cout, a); }

void pprint() { cout << endl; }
template <class Head, class... Tail> void pprint(Head &&head, Tail &&...tail) {
    cout << head;
    if (sizeof...(Tail) > 0) cout << ' ';
    pprint(move(tail)...);
}

// 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
#ifndef ONLINE_JUDGE
#define DEBUG_
#endif

#ifndef MYLOCAL
#undef DEBUG_
#endif

#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

#define VAR(type, ...)                                                                                                 \
    type __VA_ARGS__;                                                                                                  \
    assert((cin >> __VA_ARGS__));

template <typename T> istream &operator,(istream &is, T &rhs) { return is >> rhs; }
template <typename T> ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; }

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;

void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; }
void YN(bool p) { cout << (p ? "YES" : "NO") << endl; }

template <typename T> constexpr void operator--(vc<T> &v, int) noexcept {
    for (int i = 0; i < ISIZE(v); ++i) v[i]--;
}
template <typename T> constexpr void operator++(vc<T> &v, int) noexcept {
    for (int i = 0; i < ISIZE(v); ++i) v[i]++;
}

/* #endregion */

// #include <atcoder/all>
// using namespace atcoder;

/* #region CoordCompress1D */

// 1次元座圧
template <typename T = ll> class CoordCompress1D {
    map<T, ll> coord2zipped; // キーが座標値
    vc<T> zipped2coord;      // 各要素が座標値
    ll sz;
    T MAX, MIN;

  public:
    CoordCompress1D() {}
    CoordCompress1D(vc<T> coords, const T &MAX = INF, const T &MIN = -INF) : MAX(MAX), MIN(MIN) {
        sort(ALL(coords));
        UNIQ(coords);
        sz = SIZE(coords);
        zipped2coord = coords;
        REP(i, 0, sz) coord2zipped[coords[i]] = i;
    }
    // 座標の圧縮(コンストラクタに与えた座標限定)
    ll zip(const T &coord) const { return coord2zipped.at(coord); }
    T unzip(const ll &zipped) const { return zipped2coord.at(zipped); }

    // coord 以上の最小の座標値を返す.
    // 戻り値は圧縮前なので注意.入力も圧縮前.
    T coord_geq(const T &coord) const {
        auto it = lower_bound(ALL(zipped2coord), coord);
        if (it != zipped2coord.end()) return *it;
        return MAX;
    }

    // coord より大きいの最小の座標値を返す.
    // 戻り値は圧縮前なので注意.入力も圧縮前.
    T coord_gt(const T &coord) const {
        auto it = upper_bound(ALL(zipped2coord), coord);
        if (it != zipped2coord.end()) return *it;
        return MAX;
    }

    // coord 以下の最小の座標値を返す.
    // 戻り値は圧縮前なので注意.入力も圧縮前.
    T coord_leq(const T &coord) const {
        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 MIN;
    }

    // coord 未満の最小の座標値を返す.
    // 戻り値は圧縮前なので注意.入力も圧縮前.
    T coord_lt(const T &coord) const {
        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 MIN;
    }

    ll size() const { return sz; }
};

/* #endregion */

// Problem
void solve() {
    VAR(ll, n, m);
    vll x(m), y(m);
    REP(i, 0, m) cin >> x[i], y[i];
    x--, y--;

    vll plus0;
    vll plus1;
    vll minus0;
    vll minus1;
    REP(i, 0, m) {
        ll pl = x[i] + y[i];
        if (pl % 2 == 0)
            plus0.push_back(pl);
        else
            plus1.push_back(pl);
        ll mi = x[i] - y[i];
        if (mi % 2 == 0)
            minus0.push_back(mi);
        else
            minus1.push_back(mi);
    }
    sort(ALL(plus0));
    sort(ALL(plus1));
    sort(ALL(minus0));
    sort(ALL(minus1));
    UNIQ(plus0);
    UNIQ(plus1);
    UNIQ(minus0);
    UNIQ(minus1);

    CoordCompress1D<> cc0(minus0);
    CoordCompress1D<> cc1(minus1);

    ll ans = 0;
    for (const ll &p : plus0) {
        ll L, R;
        if (p < n) {
            ans += p + 1;
            // 交わっている分を引く
            L = -abs(p);
            R = abs(p);
        } else {
            ans += (2LL * n - 1) - p;
            // 交わっている分を引く
            ll pp = (2LL * n - 2) - p;
            L = -abs(pp);
            R = abs(pp);
        }
        ll LL = cc0.coord_geq(L);
        if (LL == INF) continue;
        ll LZ = cc0.zip(LL);
        ll RR = cc0.coord_geq(R + 1); // 半開区間にする
        ll RZ = cc0.size();
        if (RR != INF) RZ = cc0.zip(RR);
        ans -= (RZ - LZ);
    }
    for (const ll &p : plus1) {
        ll L, R;
        if (p < n) {
            ans += p + 1;
            // 交わっている分を引く
            L = -abs(p);
            R = abs(p);
        } else {
            ans += (2LL * n - 1) - p;
            // 交わっている分を引く
            ll pp = (2LL * n - 2) - p;
            L = -abs(pp);
            R = abs(pp);
        }
        ll LL = cc1.coord_geq(L);
        if (LL == INF) continue;
        ll LZ = cc1.zip(LL);
        ll RR = cc1.coord_geq(R + 1); // 半開区間にする
        ll RZ = cc1.size();
        if (RR != INF) RZ = cc1.zip(RR);
        ans -= (RZ - LZ);
    }
    for (const ll &mi : minus0) {
        if (mi < 0) {
            ans += n + mi;
        } else {
            ans += n - mi;
        }
    }
    for (const ll &mi : minus1) {
        if (mi < 0) {
            ans += n + mi;
        } else {
            ans += n - mi;
        }
    }
    pprint(ans);
}

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