제출 #1158116

#제출 시각아이디문제언어결과실행 시간메모리
1158116xnscdevPalembang Bridges (APIO15_bridge)C++20
100 / 100
133 ms11408 KiB
// https://oj.uz/problem/view/APIO15_bridge

#ifndef DEBUG
#pragma GCC optimize("Ofast,unroll-loops")
#endif

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/trie_policy.hpp>

#if defined(DEBUG) && defined(DEBUG_UTIL)
#include "dsa_util.h"
#endif

// clang-format off
using namespace std;
using namespace __gnu_pbds;
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;

constexpr int INF = 0x3f3f3f3f;
constexpr ll INFL = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-9;
constexpr int dx[8] = {1, -1, 0, 0, 1, 1, -1, -1};
constexpr int dy[8] = {0, 0, 1, -1, 1, -1, 1, -1};
constexpr int drev[8] = {1, 0, 3, 2, 7, 6, 5, 4};
constexpr int drotl[8] = {2, 3, 1, 0, 6, 4, 7, 5};
constexpr int drotr[8] = {3, 2, 0, 1, 5, 7, 4, 6};
constexpr char dn_nsew[4] = {'S', 'N', 'E', 'W'};
constexpr char dn_udrl[4] = {'D', 'U', 'R', 'L'};
unordered_map<char, int> dm_nsew = {{'S', 0}, {'N', 1}, {'E', 2}, {'W', 3}};
unordered_map<char, int> dm_udrl = {{'D', 0}, {'U', 1}, {'R', 2}, {'L', 3}};
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

#if __cplusplus < 202002L
template <typename T> int popcount(T x); template <> int popcount(uint x) { return __builtin_popcount(x); } template <> int popcount(ull x) { return __builtin_popcountll(x); }
template <typename T> int countl_zero(T x); template <> int countl_zero(uint x) { return __builtin_clz(x); } template <> int countl_zero(ull x) { return __builtin_clzll(x); }
template <typename T> int countr_zero(T x); template <> int countr_zero(uint x) { return __builtin_ctz(x); } template <> int countr_zero(ull x) { return __builtin_ctzll(x); }
template <typename T> int bit_width(T x) { return numeric_limits<T>::digits - countl_zero(x); }
#endif

template <typename T> int sgn(T x) { return (T(0) < x) - (x < T(0)); }
template <typename T> T randint(T l, T r) { return uniform_int_distribution<T>(l, r)(rng); }
template <typename T> T randf(T l, T r) { return uniform_real_distribution<T>(l, r)(rng); }
template <typename T> int log2if(T x) { return bit_width(x) - 1; }
template <typename T> int log2ic(T x) { return bit_width(x - 1); }
bool inside(int x, int y, int n, int m) { return x >= 0 && x < n && y >= 0 && y < m; }
ll sqdist(const pair<int, int> &p, const pair<int, int> &q) { ll x = p.first - q.first, y = p.second - q.second; return x * x + y * y; }

template <typename T> using min_priority_queue = priority_queue<T, vector<T>, greater<>>;
template <typename T, typename Comp = less<>> using ordered_set = tree<T, null_type, Comp, rb_tree_tag, tree_order_statistics_node_update>;
template <typename T = null_type> using pref_trie = trie<string, T, trie_string_access_traits<>, pat_trie_tag, trie_prefix_search_node_update>;

#if __cplusplus >= 201703L
template <typename, typename = void> struct is_iterable : false_type {};
template <typename T> struct is_iterable<T, void_t<decltype(declval<T>().begin()), decltype(declval<T>().end())>> : true_type {};
template <> struct is_iterable<string> : false_type {};
template <typename T> constexpr bool is_iterable_v = is_iterable<T>::value;
template <typename T, typename V = enable_if_t<is_iterable_v<T>, typename T::value_type>> ostream &operator<<(ostream &os, const T &t) { for (const V &v : t) os << v << ' '; return os; }
template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &p) { return os << '(' << p.first << ' ' << p.second << ')'; }
void dbg_header_(const char *f, int l, const char *e) { cout << "\033[35m(" << f << ':' << l << ") \033[1m" << e << ":\033[0m "; }
template <typename T, typename = enable_if_t<!is_iterable_v<T>>> void dbg_(const T &t, const char *f, int l, const char *e) { dbg_header_(f, l, e); cout << "\033[33;1m" << t << "\033[0m" << endl; }
template <typename T, typename V = enable_if_t<is_iterable_v<T> && !is_iterable_v<typename T::value_type>, typename T::value_type>, typename = void> void dbg_(const T &t, const char *f, int l, const char *e) { dbg_header_(f, l, e); cout << "\033[33;1m"; for (const V &v : t) cout << v << ' '; cout << "\033[0m" << endl; }
template <typename T, typename = enable_if_t<is_iterable_v<T> && is_iterable_v<typename T::value_type>, typename T::value_type>, typename = void, typename = void> void dbg_(const T &t, const char *f, int l, const char *e) { dbg_header_(f, l, e); cout << '\n'; for (int i = 0; i < t.size(); i++) cout << "\033[36m" << i << ":\033[33;1m " << t[i] << "\033[0m" << endl; }
#ifdef DEBUG
#define dbg(t) dbg_((t), __func__, __LINE__, #t)
#else
#define dbg(t)
#endif
#endif
// clang-format on

void solve()
{
#ifdef DEBUG
    cout << "\033[31;1m======================================================================\033[0m" << endl;
#endif
    int k, n;
    cin >> k >> n;
    ll same = 0;
    vector<pair<int, int>> v;
    for (int i = 0; i < n; i++)
    {
        char p, q;
        int s, t;
        cin >> p >> s >> q >> t;
        if (p == q)
            same += abs(t - s);
        else
            v.emplace_back(s, t);
    }
    ranges::sort(v, [](const pair<int, int> &a, const pair<int, int> &b)
    {
        return a.first + a.second < b.first + b.second;
    });
    n = v.size();
    same += n;
    vector<ll> p(n + 1);
    multiset<int> sl, sh;
    ll tl = 0, th = 0;
    auto insert = [&](int x)
    {
        int m = sl.empty() ? INF : *sl.rbegin();
        if (x <= m)
        {
            sl.insert(x);
            tl += x;
        }
        else
        {
            sh.insert(x);
            th += x;
        }
        if (sh.size() + 1 < sl.size())
        {
            int t = *sl.rbegin();
            sl.erase(--sl.end());
            sh.insert(t);
            tl -= t;
            th += t;
        }
        else if (sl.size() < sh.size())
        {
            int t = *sh.begin();
            sh.erase(sh.begin());
            sl.insert(t);
            th -= t;
            tl += t;
        }
    };
    for (int i = 0; i < n; i++)
    {
        insert(v[i].first);
        insert(v[i].second);
        p[i + 1] = th - tl;
    }
    ll ans = p[n];
    if (k == 2)
    {
        sl.clear();
        sh.clear();
        tl = th = 0;
        for (int i = n - 1; i >= 0; i--)
        {
            insert(v[i].first);
            insert(v[i].second);
            ans = min(ans, th - tl + p[i]);
        }
    }
    cout << ans + same << endl;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int t = 1;
    // cin >> t;
    while (t--)
        solve();
}
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