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## Practice Round

### Problem statement

You are opening a small pizzeria. In fact, your pizzeria is so small that you decided to offer only one type of pizza. Now you need to decide what ingredients to include (peppers? tomatoes? both?).

Everyone has their own pizza preferences. Each of your potential clients has some ingredients they like, and maybe some ingredients they dislike. Each client will come to your pizzeria if both conditions are true:

1. all the ingredients they like are on the pizza, and
2. none of the ingredients they dislike are on the pizza

Each client is OK with additional ingredients they neither like or dislike being present on the pizza. Your task is to choose which ingredients to put on your only pizza type, to maximize the number of clients that will visit your pizzeria.

### Input

• The first line contains one integer 1≤C≤105 - the number of potential clients.
• The following 2×C lines describe the clients’ preferences in the following format:
• First line contains integer 1≤L≤5, followed by L names of ingredients a client likes, delimited by spaces.
• Second line contains integer 0≤D≤5, followed by D names of ingredients a client dislikes, delimited by spaces. Each ingredient name consists of between 1 and 15 ASCII characters. Each character is one of the lowercase letters (a-z) or a digit (0-9).

### Input Data

save_alt Full input (zipped) save_alt A - An example save_alt B - Basic save_alt C - Coarse save_alt D - Difficult save_alt E - Elaborate

### Submission

The submission should consist of one line consisting of a single number 0≤N followed by a list of N ingredients to put on the only pizza available in the pizzeria, separated by spaces. The list of ingredients should contain only the ingredients mentioned by at least one client, without duplicates.

### Scoring

A solution scores one point for each client that will come to your pizzeria. A client will come to your pizzeria if all the ingredients they like are on the pizza and none of the ingredients they dislike are on the pizza.

### Sample Input

```1 2 3 4 5 6 7 3 2 cheese peppers 0 1 basil 1 pineapple 2 mushrooms tomatoes 1 basil ```

### Sample Output

```1 4 cheese mushrooms tomatoes peppers ```

In the Sample Input there are 3 potential clients:

• The first client likes 2 ingredients, cheese and peppers, and does not dislike anything.
• The second client likes only basil and dislikes only pineapple.
• The third client likes mushrooms and tomatoes and dislikes only basil

The picture below shows the preferences of 3 potential clients.0

In this particular Sample Output, we choose to use 4 ingredients in the pizza: cheese, mushrooms, tomatoes, and peppers.

• The first client likes the pizza because it contains both cheese and peppers, which they like.
• The second client does not like the pizza: it does not contain basil which they like.
• The third client likes the pizza because it contains mushrooms and tomatoes, which they like, and does not contain basil which they do not like.

This means a submission of this output would score 2 points for this case, because two clients (the first and third ones) would like this pizza.

### Solution

#### Algorithm

```1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 #include <bits/stdc++.h> using namespace std; #define endl '\n' #define mp make_pair #define pb push_back #define input(s) freopen(s, "r", stdin) #define output(s) freopen(s, "w", stdout) #define forn(i, n) for (int i = 0; i < n; i++) typedef long long int ll; typedef long double ld; int main(int argc, char *argv[]) { input(argv[1]); output(argv[2]); ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ll clients, likes, dislikes; unordered_set<string> selected; string ingredients; cin >> clients; for (ll client = 0; client < clients; client++) { vector<string> liked; vector<string> disliked; cin >> likes; while (likes--) { cin >> ingredients; liked.push_back(ingredients); } cin >> dislikes; while (dislikes--) { cin >> ingredients; disliked.push_back(ingredients); } if( tmp1.size() > 2 * tmp2.size()) for(auto e:tmp1) selected.insert(e); } cout << selected.size() << " "; for (string dish : selected) cout << dish << " "; return 0; } ```

#### Bash script

```1 2 3 4 5 6 7 8 9 10 11 12 g++ sol.cpp ./a.out a.txt out_a.txt g++ sol.cpp ./a.out b.txt out_b.txt g++ sol.cpp ./a.out c.txt out_c.txt g++ sol.cpp ./a.out d.txt out_d.txt g++ sol.cpp ./a.out e.txt out_e.txt g++ sol.cpp ./a.out f.txt out_f.txt ```

#### Simulator

```1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 void simulator(unordered_set<string> selected) { int ans = 0; bool flag; int total_selected size(selected); for (int i = 0; i < total_selected; i++) { flag = true; for (int j = 0; j < like[i].size(), flag; j++) if (selected.find(like[i][j]) == selected.end()) flag = false; if (flag) for (int j = 0; j < dislike[i].size(), flag; j++) if (selected.find(dislike[i][j]) != selected.end()) flag = false; if (flag) ans++; } cout << ans << endl; } ```

## Qualification Round

### Introduction

You are given a list of contributors, who have already mastered various skills, and a list of projects with different skill requirements. Contributors can improve their skills by completing projects and can mentor each other to work is roles in which they couldn’t succeed on their own. Your task is to assign contributors to project roles that fit their qualifications and maximize the score for completed projects.

### Problem description

#### Contributors

There are N contributors. Each contributor has a name and one or more skills at a specific level (0,1,2,…). Not possessing a skill is equivalent to possessing a skill at level 0.

For example, three contributors could have the following skills:

• Anna: Python level 3
• Bob: C++ level 3
• Maria: HTML level 4, CSS level 6

Three contributors and their skills, as described in the example above.

#### Projects

There are M projects. Each project is described by:

• its name
• the duration of the project in days (how long it takes to complete a project once it is started)
• the score awarded for completing the project
• the “best before” time in days – if the project last day of work is strictly before the indicated day, it earns the full score. If it’s late (that is, the project is still worked on during or after its “best before day”), it gets one point less for each day it is late, but no less than zero points. See also the example in the “Assignments” section below.
• a list of roles for contributors working on the project

Each project has one or more roles that need to be filled by contributors. Each role requires one skill at a specific level, and can be filled by a single contributor. Each contributor can fill at most one role on a single project.

For example, a project called “WebServer” could have the following roles:

• Role 0 requiring Python level 3
• Role 1 requiring HTML level 1
• Role 2 requiring CSS level 5

The 3 roles that need to be filled for project WebServer, as described in the example above.

#### Filling roles and mentorship

A contributor can be assigned to a project for a specific role (at most one role in a single project), if they either:

• have the skill at the required level or higher; or
• have the skill at exactly one level below the required level, only if another contributor on the same project (assigned to another role), has this skill at the required level or higher. In this case, the contributor will be mentored by their colleague :)

One contributor can mentor multiple people at once, including for the same skill. A contributor can mentor and be mentored by other contributors at the same time.

Not possessing a skill is equivalent to possessing a skill at level 0. So a contributor can work on a project and be assigned to a role with requirement C++ level 1 if they don’t know any C++, provided that somebody else on the team knows C++ at level 1 or higher.

For example:

For the project WebServer above we could make the following assignments:

Role 0 (requires Python level 3) is assigned to Anna (Python level 3).

☑️ Anna has the same level in Python as required. Role 1 (requires HTML level 1) is assigned to Bob (C++ level 3).

⚠ Bob has level 0 in HTML. Since his level is only one below required, he can be assigned, but must be mentored by another contributor who knows HTML at level 1 or above. Role 2 (requires CSS level 5) is assigned to Maria (HTML level 4, CSS level 6)

☑️ Maria has a higher level than the one required for CSS. ☑️ Maria can mentor Bob on HTML since she has HTML level 4.

### Assignments

Each contributor can start working on day 0 and can be working on at most one project at the same time. Once the work on a project starts, its contributors will be working on it the number of days equal to its duration and then become available to work on other projects.

For example, if the project WebServer has duration of 7 days and starts on day 0, the contributors assigned to it will be working on it during: day 0, day 1, day 2, day 3, day 4, day 5 and day 6. On day 7 the project is already completed. Contributors assigned to it can work on another project on day 7.

### Learning

Completing a project is a learning opportunity, especially for the contributors working on the edge of their existing abilities! When each project is completed:

contributors working in roles where the required skill level was equal or higher than their current level improve their skill level by one level other contributors keep their skill level Note that mentoring someone doesn’t increase the level of the skill for the mentor.

For example:

In the assignments above:

Anna improves Python skill to level 4; Bob improves HTML skill to level 1; Maria improves neither the CSS skill (because Maria’s CSS is already at a level higher than required) nor the HTML skill (because her role required CSS, not HTML).

### File format

Each input data set is provided in a plain text file. The file contains only ASCII characters with lines ending with a single ‘\n’ character (also called “UNIX-style” line endings). When multiple strings and numbers are given in one line, they are separated by a single space between each two elements.

The first line of the data set contains:

• an integer C (1 ≤ C≤ 105) – the number of contributors,
• an integer P (1 ≤ P ≤ 105) – the number of projects.

This is followed by C sections describing individual contributors. Each contributor is described by the following lines:

• the first line contains:
• the contributor’s name (ASCII string of at most 20 characters, all of which are lowercase or uppercase English alphabet letters a-z and A-Z, or numbers 0-9),
• an integer N (1≤ N ≤ 100) - the number of skills of the contributor.
• the next N lines describe individual skills of the contributor. Each such line contains:
• the name of the skill (ASCII string of at most 20 characters, all of which are lowercase or uppercase English alphabet letters a-z and A-Z, numbers 0-9, dashes ‘-‘ or pluses ‘+’),
• an integer Li (1≤ Li ≤ 10) - skill level.

This is followed by P sections describing individual projects. Each project is described by the following lines:

• the first line contains:
• the name of the project (ASCII string of at most 20 characters, all of which are lowercase or uppercase English alphabet letters a-z and A-Z or numbers 0-9),
• an integer Di (1 ≤Di ≤ 105) – the number of days it takes to complete the project,
• an integer Si (1 ≤ Si ≤ 105) – the score awarded for project’s completion,
• an integer Bi (1 ≤ Bi ≤ 105) – the “best before” day for the project,
• an integer Ri (1 ≤ Ri ≤ 100) – the number of roles in the project.
• the next Ri lines describe the skills in the project:
• a string Xk – the name of the skill (ASCII string of at most 20 characters, all of which are lowercase or uppercase English alphabet letters a-z and A-Z, numbers 0-9, dashes ‘-‘ or pluses ‘+’),
• an integer Lk (1≤Lk≤100) – the required skill level.

#### Example

Input file Description

```1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 3 3 Anna 1 C++ 2 Bob 2 HTML 5 CSS 5 Maria 1 Python 3 Logging 5 10 5 1 C++ 3 WebServer 7 10 7 2 HTML 3 C++ 2 WebChat 10 20 20 2 Python 3 HTML 3 ```

3 contributors, 3 projects contributor Anna has C++ skill at level 2 contributor Bob has HTML skill at level 5 has CSS skill at level 5 contributor Maria has skill Python at level 3 project Logging needs 1 contributor that needs to have C++ at level ≥ 3 (2 with mentoring) project WebServer needs 2 contributors first contributor needs to have HTML at level ≥ 3 (2 with mentoring) second contributor needs to have C++ at level ≥ 2 (1 with mentoring) project WebChat needs 2 contributors first contributor needs to have Python at level ≥ 3 (2 with mentoring) second contributor needs to have HTML at level ≥ 3 (2 with mentoring) Three contributors and their skills, as described in the input above. The 3 projects that are described in the input.

### Submissions

The submission file should be a plaintext file containing only ASCII characters.

File format Your submission describes which projects each contributor is going to work on and in which role.

The first line should contain the integer E (0≤E≤P) – the number of executed projects.

This should be followed by E sections each describing one completed project. Each project should be described by two lines:

A single line containing the name of the project (as it appears in the input file). Each project can be mentioned at most once in the submission file. A single line containing the names of the contributors assigned to each of the project roles, separated by single spaces and listed in the same order as the roles appear in the input file.

#### Example

Submission file Description

```1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 WebServer Bob Anna Logging Anna WebChat Maria Bob three projects are planned assignments for project WebServer Bob → first role, Anna → second role assignments for project Logging Anna → first role assignments for project WebChat Maria → first role, Bob → second role ```

### Scoring

Each contributor can only work on one project at a time. If one contributor is assigned to multiple projects, the contributor will work on them in the same order as they appear in the submission file. Each project starts immediately on the first day on which all the assigned contributors are available.

Projects execution timeline based on the input data set and the submission from the previous sections. If some project assignment is invalid because the assigned contributor does not have the required skill level for the project after finishing all previously assigned projects, the submission is considered invalid and will not be scored.

Each project that is completed successfully receives its assigned score, as defined in the input file, minus penalty points for any delay. If a project is completed after its “best before” time, it gets one point less for each day it is late (but no less than zero points). Note that even if a project scores zero points, the assigned contributors will work on it (and may improve their skills thanks to it).

The total score is the sum of scores for all correctly completed projects.

The example submission results in this timeline:

Day 0 to day 6: Bob and Anna are working on project WebServer (they both have the skills required).

As of project completion, Anna levels up in C++: level 2 → 3; Bob doesn’t level up because his HTML skill (level 5) is of a higher level than required for the project (level 3). Project WebServer’s last day of work is day 6, so it completes strictly before its “best before” day 7 and receives the full score: 10 points.

Day 7 to 11: Anna is working on the project Logging (she has sufficient C++ skill after completing project WebServer).

As of project completion, Anna levels up in C++: level 3 → 4; Project Logging’s last day of work is 11 (so it’s completed strictly before day 12), while its “best before” day was 5. It is late by (12−5=) 7 days and receives a score of: (10−7=) 3 points.

Day 7 to 16: Maria and Bob are working on project WebChat

As of project completion, Maria levels up in Python: level 3 → 4; Bob doesn’t level up in HTML because his skills are of a higher level than required for the project (HTML level 5, required 3) Project WebChat’s last day of work is day 16, while the “best before” day is 20, so it receives the full score: 20 points.

In the end, projects Webserver (10 points), Logging (3 points) and WebChat (20 points) are completed, resulting in a total score of 33 points.

### Solution

#### Algo

```1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 #include <bits/stdc++.h> using namespace std; #define endl '\n' #define mp make_pair #define pb push_back #define eb emplace_back #define input(s) freopen(s, "r", stdin) #define output(s) freopen(s, "w", stdout) #define forn(i, n) for (ll i = 0; i < n; ++i) typedef long long int ll; typedef long double ld; class Project { public: string name; ll time_req, score, best_before; ll busy; vector<pair<ll, ll>> skills; Project(string name, ll time_req, ll score, ll best_before, vector<pair<ll, ll>> skills) { this->name = name; this->time_req = time_req; this->score = score; this->best_before = best_before; this->skills = skills; this->busy = false; } void print() { cout << name << " " << time_req << " " << " " << score << " " << best_before << endl; for (auto skill : skills) cout << skill.first << " " << skill.second << endl; } }; class Contributor { public: string name; map<ll, ll> skills; Contributor(string name, map<ll, ll> skills) { this->name = name; this->skills = skills; } void print() { cout << name << endl; for (auto skill : skills) cout << skill.first << " " << skill.second << endl; } }; class Selected { public: string name; list<string> candidates; void print() { cout << name << endl; for (auto e : candidates) cout << e << " "; cout << endl; } }; ll skills_count, totalContributors, totalProjects; map<string, ll> skill_map; vector<Contributor> contributors; vector<Project> projects; vector<Selected> answer; ll get_skill_id(string &skill_name) { if (!skill_map[skill_name]) skill_map[skill_name] = skills_count++; return skill_map[skill_name]; } // bool compare_one(const Project &p1, const Project &p2) // { // return p1.score > p2.score; // } // bool compare_two(const Project &p1, const Project &p2) // { // return p1.score + p1.time_req > p2.score + p2.time_req; // } // bool compare_third(const Project &p1, const Project &p2) // { // return 3 * p2.time_req - 2 * p2.best_before > 3 * p1.time_req - 2 * p1.best_before; // } bool compare_four(const Project &p1, const Project &p2) { return (double)(p1.score + p1.best_before / (p1.time_req)) > (double)(p2.score + p2.best_before / (p2.time_req)); } bool compare_five(const Project &p1, const Project &p2) { return (double)(3.14 * p1.score / (p1.time_req)) > (double)(p2.score * 3.14 / (p2.time_req)); } bool solve(Project &p, Selected &r) { vector<bool> used(contributors.size()); for (auto s : p.skills) { bool flag = false; for (ll c = 0; c < contributors.size(); ++c) { if (used[c]) continue; if (contributors[c].skills[s.first] >= s.second) { used[c] = true; r.candidates.eb(contributors[c].name); flag = true; break; } } if (!flag) return false; } return true; } int main(int argc, char **argv) { input(argv[1]); output(argv[2]); ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cin >> totalContributors >> totalProjects; for (ll i = 0; i < totalContributors; i++) { string name; ll totalSkills; map<ll, ll> skills; string skill; ll level; cin >> name >> totalSkills; for (ll i = 0; i < totalSkills; ++i) { cin >> skill >> level; skills[get_skill_id(skill)] = level; } Contributor contributor(name, skills); contributors.eb(contributor); } for (ll i = 0; i < totalProjects; i++) { string name; ll time_req, score, best_before, roles; vector<pair<ll, ll>> skills; string skill; ll level; cin >> name >> time_req >> score >> best_before >> roles; for (ll j = 0; j < roles; j++) { cin >> skill >> level; skills.eb(get_skill_id(skill), level); } Project project(name, time_req, score, best_before, skills); projects.eb(project); } // for(ll i=0; i<contributors.size(); i++) // contributors[i].print(); // for(ll i=0; i<projects.size(); i++) // projects[i].print(); sort(projects.begin(), projects.end(), compare_five); for (Project &project : projects) { Selected selected; if (solve(project, selected)) { selected.name = project.name; answer.eb(selected); } } cout << answer.size() << endl; for (auto opted : answer) opted.print(); } ```

#### Bash script

```1 2 3 4 5 6 7 8 9 10 11 12 g++ sol.cpp ./a.out a.txt out_a.txt g++ sol.cpp ./a.out b.txt out_b.txt g++ sol.cpp ./a.out c.txt out_c.txt g++ sol.cpp ./a.out d.txt out_d.txt g++ sol.cpp ./a.out e.txt out_e.txt g++ sol.cpp ./a.out f.txt out_f.txt ```