Submission #1215554

#	Time	Username	Problem	Language	Result	Execution time	Memory
1215554		trimkus	Overtaking (IOI23_overtaking)	C++20	65 / 100	3592 ms	31824 KiB

overtaking

#include "overtaking.h"
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

int N, L;
vector<int> W, S;
int X, M;
vector<ll> T;
ll expected[1001][1001];
vector<int> tot_ord[1001];
int pos[1001][1001];

void init(int _L, int _N, std::vector<long long> _T, std::vector<int> _W, int _X, int _M, std::vector<int> _S)
{
    L = _L;
    M = _M;
    N = _N;
    T = _T;
    W = _W;
    X = _X;
    S = _S;
    // W.push_back(X);
    // vector<vector<ll>> exp(N, vector<ll>(M));
    vector<int> ord(N);
    iota(begin(ord), end(ord), 0);
    for (int i = 0; i < N; ++i) {
        expected[i][0] = T[i];
    }
    for (int j = 1; j < M; ++j) {
        sort(begin(ord), end(ord), [&](int x, int y){
            if (expected[x][j - 1] != expected[y][j - 1]) return expected[x][j - 1] < expected[y][j - 1];
            return W[x] < W[y];
        });
        tot_ord[j - 1] = ord;
        ll tim = -1;
        for (int it = 0; it < N; ++it) {
            int i = ord[it];
            pos[j - 1][i] = it;
            // cerr << W[i] << " ";
            expected[i][j] = expected[i][j - 1] + 1LL * W[i] * (S[j] - S[j - 1]);
            expected[i][j] = max(tim, expected[i][j]);
            tim = max(expected[i][j], tim);
        }
        // cerr << endl;
        if (j == M - 1) {
            sort(begin(ord), end(ord), [&](int x, int y){
                if (expected[x][j - 1] != expected[y][j - 1]) return expected[x][j - 1] < expected[y][j - 1];
                return W[x] < W[y];
            });
            tot_ord[j] = ord;
            for (int it = 0; it < N; ++it) {
                int i = ord[it];
                pos[j][i] = it;
            }
        }
    }
    // for (int i = 0; i < M; ++i) {
    //     for (int j = 0; j < N; ++j) {
    //         cerr << tot_ord[i][j] << " ";
    //     }
    //     cerr << "\n";
    // }
    // cerr << "\nDone!\n";
}

bool lessi(ll e, int x, int j) {
    if (e != expected[x][j]) return e < expected[x][j];
    return X < W[x];
}

bool strict_less(ll e, int x, int j) {
    if (e != expected[x][j]) return e < expected[x][j];
    return X < W[x]; 
}

int get_behind(ll e, int j, vector<bool>& overtook, int pos) {
    auto& ord = tot_ord[j];
    for (int i = pos; i >= 0; --i) {
        if (overtook[ord[i]]) continue;
        if (e == expected[ord[i]][j] && X <= W[ord[i]]) {
            overtook[ord[i]] = true;
            continue;
        }
        if (e >= expected[ord[i]][j] && X < W[ord[i]]) return i;
        if (e < expected[ord[i]][j] && X <= W[ord[i]]) {
            overtook[ord[i]] = true;
        }
    }
    return -1;
}

int search(ll e, int j) {
    int l = 0, r = N - 1;
    int res = -1;
    while (l <= r) {
        int mid = (l + r) / 2;
        if (lessi(e, tot_ord[mid][j], j)) {
            r = mid - 1;
        } else {
            l = mid + 1;
            res = mid;
        }
    }
    return res;
}

long long arrival_time(long long Y)
{
    vector<bool> overtook(N);
    int pos = N - 1;
    ll e = Y;
    // cerr << Y << ":\n";
    for (int i = 1; i < M; ++i) {
        int front_id = get_behind(e, i - 1, overtook, pos);
        pos = front_id;
        // if (pos != -1) cerr << "Initial pos = " << pos << ", bus index = " << tot_ord[i - 1][pos] << "\n";
        // if (strict_less(e, id, i - 1)) id -= 1;
        e = e + 1LL * X * (S[i] - S[i - 1]);
        // cerr << "Expected = ";
        // for (int j = 0; j < N; ++j) {
        //     int o = tot_ord[i][j];
        //     cerr << expected[o][i] << " ";
        // }
        // cerr << " -> ";
        // cerr << "Overtaken = ";
        // for (int i = 0; i < N; ++i) {
        //     cerr << overtook[i] << " ";
        // }
        // cerr << "\n";
        // cerr << "Initial time = " << e << " -> "; 
        if (front_id >= 0) {
            front_id = tot_ord[i - 1][front_id];
            // int id = tot_ord[i][front_id];
            // cerr << id << endl;
            // cerr << "at = " << front_id << " we have = " << e << ", now = ";
            // cerr << id << " " << e << " " << expected[id][i] << " ?= " << strict_less(e, id, i) << endl;
            e = max(e, expected[front_id][i]);
            // cerr << e << "\n";
        } else {
            // cerr << "\n";
        }
    }
    // cerr << Y << ":\n";
    // for (int j = 0; j < M; ++j) {
    //     for (int i = 0; i <= N; ++i) {
    //         cerr << exp[i][j] << " ";
    //     }
    //     cerr << "\n";
    // }
    // cerr << "\n";
    return e;
}

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