Submission #592332

# Submission time Handle Problem Language Result Execution time Memory
592332 2022-07-08T23:43:07 Z 54skyxenon Job Scheduling (CEOI12_jobs) C++17
100 / 100
338 ms 24424 KB
// https://oj.uz/problem/view/CEOI12_jobs

#include <bits/stdc++.h>
using namespace std;

#define maxN 100000
#define maxM 1000000

vector<vector<int>> requests_by_day(maxN + 1);
vector<pair<int, vector<int>>> compressed;

int n, d, m;

// does `mid` number of machines work?
vector<vector<int>> ok(int mid) {    
    vector<pair<int, vector<int>>> requests_here = compressed;

    vector<vector<int>> schedule;
    int leftover = mid;
    int curr_day = 1;

    vector<int> curr_day_schedule;

    int i = 0;
    while (i < requests_here.size()) {
        if (curr_day < requests_here[i].first) {
            leftover = mid;
            curr_day++;
            continue;
        }
        
        if (curr_day - requests_here[i].first > d) {
            return {};
        }

        if (leftover >= requests_here[i].second.size()) {
            curr_day_schedule.insert(curr_day_schedule.end(), requests_here[i].second.begin(), requests_here[i].second.end());
            leftover -= requests_here[i].second.size();
            requests_here[i].second.clear();
        }
        else {
            while (leftover--) {
                curr_day_schedule.push_back(requests_here[i].second.back());
                requests_here[i].second.pop_back();
            }
            schedule.push_back(curr_day_schedule);
            curr_day_schedule.clear();
            leftover = mid;
            curr_day += 1;
            i--;
        }
        i++;
    }
    
    if (curr_day_schedule.size() > 0) {
        schedule.push_back(curr_day_schedule);
    }

    return schedule;
}

// O(log M * (N + M))
void bs(int lo, int hi) {
    hi++;
    while (lo < hi) {
        int mid = (lo + hi) / 2;
        if (ok(mid).size() > 0) {
            hi = mid;
        }
        else {
            lo = mid + 1;
        }
    }

    cout << lo << "\n";

    vector<vector<int>> ans = ok(lo);
    for (int i = 0; i < n; i++) {
        if (i >= ans.size()) {
            cout << "0\n";
        }
        else {
            ans[i].push_back(0);
            for (int req_id : ans[i]) {
                cout << req_id;
                if (req_id > 0) {
                    cout << " ";
                }
            }
            cout << "\n";
        }
    }
}

int main() {
    cin >> n >> d >> m;

    for (int i = 1; i <= m; i++) {
        int day; cin >> day;
        requests_by_day[day].push_back(i);
    }

    for (int day = 1; day <= n; day++) {
        if (requests_by_day[day].size() > 0) {
            compressed.push_back(make_pair(day, vector<int>(requests_by_day[day])));
        }
    }
    requests_by_day.clear();

    bs(1, m);
}

Compilation message

jobs.cpp: In function 'std::vector<std::vector<int> > ok(int)':
jobs.cpp:25:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, std::vector<int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   25 |     while (i < requests_here.size()) {
      |            ~~^~~~~~~~~~~~~~~~~~~~~~
jobs.cpp:36:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   36 |         if (leftover >= requests_here[i].second.size()) {
      |             ~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
jobs.cpp: In function 'void bs(int, int)':
jobs.cpp:79:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   79 |         if (i >= ans.size()) {
      |             ~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 30 ms 4924 KB Output is correct
2 Correct 38 ms 5008 KB Output is correct
3 Correct 37 ms 4904 KB Output is correct
4 Correct 31 ms 4980 KB Output is correct
5 Correct 30 ms 4932 KB Output is correct
6 Correct 31 ms 4988 KB Output is correct
7 Correct 30 ms 4984 KB Output is correct
8 Correct 32 ms 4980 KB Output is correct
9 Correct 31 ms 5416 KB Output is correct
10 Correct 30 ms 5212 KB Output is correct
11 Correct 35 ms 4600 KB Output is correct
12 Correct 72 ms 6576 KB Output is correct
13 Correct 101 ms 10612 KB Output is correct
14 Correct 156 ms 13420 KB Output is correct
15 Correct 165 ms 15780 KB Output is correct
16 Correct 242 ms 17904 KB Output is correct
17 Correct 298 ms 18336 KB Output is correct
18 Correct 290 ms 24128 KB Output is correct
19 Correct 338 ms 24424 KB Output is correct
20 Correct 307 ms 18392 KB Output is correct