Submission #1068768

#	Time	Username	Problem	Language	Result	Execution time	Memory
1068768		ewirlan	Overtaking (IOI23_overtaking)	C++17	19 / 100	77 ms	6424 KiB

overtaking

//
#ifndef __SIZEOF_INT128__
  #define __SIZEOF_INT128__
#endif
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace chrono;
using namespace __gnu_pbds;
template <typename T> using oset =  tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define rep(i, p, k) for(int i(p); i < (k); ++i)
#define per(i, p, k) for(int i(p); i > (k); --i)
#define sz(x) (int)(x).size()
#define sc static_cast
typedef long long ll;
typedef long double ld;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef __int128_t lll;
//#define int ll
template <typename T = int> using par = std::pair <T, T>;
#define fi first
#define se second
#define test int _number_of_tests(in()); while(_number_of_tests--)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define pb emplace_back
struct Timer {
    string name{""};
    time_point<high_resolution_clock> end, start{high_resolution_clock::now()};
    duration<float, std::milli> dur;
    Timer() = default;
    Timer(string nm): name(nm) {}
    ~Timer() {
        end = high_resolution_clock::now(); dur= end - start;
        cout << "@" << name << "> " << dur.count() << " ms" << '\n';
    }
};
template <typename T = int> inline T in()
{
    static T x;
    std::cin >> x;
    return x;
}
std::string yn(bool b)
{
    if(b) return "YES\n";
    else return "NO\n";
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par);
template <typename T> std::ostream& operator<< (std::ostream& out, const std::vector <T>& wek)
{
    for(const auto& i : wek)out << i << ' ';
    return out;
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par)
{
    out << '{'<<par.first<<", "<<par.second<<"}";
    return out;
}
#define show(x) cerr << #x << " = " << x << '\n';
int l, n, x, m;
vector <ll> t;
vector <int> w;
vector <int> s;
#define g0 get<0>
#define g1 get<1>
#define g2 get<2>
constexpr int maxn = 1003;
vector <tuple <ll, int, int>> dp[maxn];
ll mt[maxn][maxn];
struct ty{
    ll p, k, w;
    ty(ll a, ll b, ll c) : p(a), k(b), w(c) {}
};
vector <ty> odp;
void init(int Wl, int Wn, vector <ll> Wt, vector <int> Ww, int Wx, int Wm, vector <int> Ws)
{
    l = Wl;
    n = Wn;
    t = Wt;
    x = Wx;
    m = Wm;
    w = Ww;
    s = Ws;
    vector < tuple<ll, int, int>> v;
    rep(i, 0, n)v.pb(t[i], w[i], i);
    rep(i, 1, m){
        sort(all(v));
        rep(j, 0, n)mt[i-1][g2(v[j])] = g0(v[j]);
        dp[i-1] = v;
        ll d(s[i]-s[i-1]);
        vector <tuple <ll, int, int>> v2;
        v2.pb(g0(v[0]) + g1(v[0])*d, g1(v[0]), g2(v[0]));
        rep(j, 1, n)v2.pb(max(g0(v[j])+ g1(v[j])*d, g0(v2[j-1])), g1(v[j]), g2(v[j]));
        v = v2;
    }
    rep(j, 0, n)mt[m-1][g2(v[j])] = g0(v[j]);
    dp[m-1] = v;
    // rep(i, 0, m+1)dp[i].pb(1e18, 0, n+1);
    // rep(i, 0, m+1)mt[i][n+1] = 1e18;
    vector <pair <vector <ty>, pair <int, int>>> dc;
    vector <ll> sd(m);
    rep(i, 1, m){
        ll d(x*ll(s[i]-s[i-1]));
        vector <pair <ll, ll>> v;
        rep(j, 0, n)v.pb(g0(dp[i-1][j]) + (g1(dp[i-1][j])<=x?0:1), mt[i][g2(dp[i-1][j])]-d);
        vector <ty> w;
        for(auto [g, m]: v){
            if(sz(w) && w.back().w >= m)continue;
            while(sz(w) && (w.back().p == g))w.pop_back();
            if(sz(w)) w.back().k = min(w.back().k, g-1);
            w.pb(g, m, m);
        }
        vector <ty> wp;
        for(auto i: w)if(i.p < i.k)wp.pb(i.p, i.k, i.w+d);
        dc.pb(wp, par<int>{i, i});
        sd[i] = sd[i-1] + d;
    }
    while(sz(dc) > 1){
        // cerr << "----------------\n";
        // for(auto [v, i]: dc){
            // cerr << i << ' ';
            // for(auto [p, k, w]: v)cerr << '(' <<  p << '-' << k << ": " << w << ") ";
            // cerr << '\n';
        // }
        vector <pair <vector <ty>, pair <int, int>>> dc2;
        if(sz(dc) % 2)dc2.pb(dc[0]);
        for(int ind(sz(dc)%2); ind < sz(dc); ind += 2){
            auto [wa, ia] = dc[ind];
            auto [wb, ib] = dc[ind+1];
            ll ofs(sd[ia.second] - sd[ia.first-1]);
            ll ofsb(sd[ib.second] - sd[ib.first-1]);
            set <ll> s;
            for(auto [p, k, w]: wa)for(auto i: {p, k, p-ofs, k-ofs})rep(j, -1, 2)s.insert(i+j);
            for(auto [p, k, w]: wb)for(auto i: {p, k, p-ofs, k-ofs})rep(j, -1, 2)s.insert(i+j);
            int ja(0), jb(0);
            vector <ty> o2;
            for(auto i: s){
                // cerr << i <<'-';
                ll I(-1);
                bool c(0);
                while(ja < sz(wa) && wa[ja].k < i)++ja;
                if(ja < sz(wa) && wa[ja].p <= i && i <= wa[ja].k){
                    I = wa[ja].w;
                    c = 1;
                }
                else I = i+ofs;
                // cerr << I<<'-';
                while(jb < sz(wb) && (wb[jb].p > wb[jb].k || wb[jb].k < I))++jb;
                if(jb < sz(wb) && wb[jb].p <= I && I <= wb[jb].k){
                    I = max(I, wb[jb].w);
                    c = 1;
                }
                else I += ofsb;
                // cerr <<I<<' ';
                if(c){
                    if(!sz(o2) || o2.back().w != I)o2.pb(i, i, I);
                    else o2.back().k = max(o2.back().k, i);
                } 
            }
            // cerr << '\n';
            dc2.pb(o2, pair <int, int>{ia.first, ib.second});
        }
        dc = dc2;
    }
    odp = dc[0].first;
    // cerr << "ODP:\n";
    // for(auto [p, k, w]: odp)cerr << '(' <<  p << '-' << k << ": " << w << ") ";
}
ll arrival_time(ll y)
{
    if(!sz(odp))return y+1ll*l*x;
    int p(0), k(sz(odp)-1), s;
    while(k > p){
        s = (p+k)/2;
        if(y > odp[s].k)p = s+1;
        else k = s;
    }
    if(odp[p].p <= y && y <= odp[p].k)return odp[p].w;
    return y+1ll*l*x;
}

• Subtask 0: 0 / 0
• Subtask 1: 9 / 9
• Subtask 2: 10 / 10
• Subtask 3: 0 / 20
• Subtask 4: 0 / 26
• Subtask 5: 0 / 35