717584. Make best team for World Cup 2023
Here is the detailed markdown blog post for the problem "Make best team for World Cup 2023":
Make Best Team for World Cup 2023
Summary
The goal is to select a team of 11 players from a given set of football players, where each player has a unique skill score. The selected team should have the highest overall skill score possible. This problem involves sorting arrays and optimizing the selection process.
Detailed Explanation
To solve this problem, we can use a greedy approach. First, we sort all the players in descending order based on their skill scores. Then, we start selecting players for our team until we reach a total of 11 players. We always choose the player with the highest skill score next, ensuring that the overall skill score of our team is maximized.
Here's a step-by-step breakdown of the solution:
- Initialize an empty array to store the selected players.
- Sort all the players in descending order based on their skill scores.
- Iterate through the sorted array and add each player to our team until we have 11 players or more.
- Calculate the total skill score of our selected team.
Time complexity: O(n log n) due to sorting, where n is the number of players. Space complexity: O(1) as we only use a constant amount of space to store the selected players and their skills.
Optimized Solutions
Java
import java.util.Arrays;
import java.util.Comparator;
public class Main {
public static void main(String[] args) {
int[][] players = {{10, "Player1"}, {9, "Player2"}, {8, "Player3"}, {7, "Player4"},
{6, "Player5"}, {5, "Player6"}, {4, "Player7"}, {3, "Player8"},
{2, "Player9"}, {1, "Player10"}};
int[][] selectedPlayers = selectBestTeam(players);
System.out.println("Selected Players: ");
for (int[] player : selectedPlayers) {
System.out.println(player[0] + ": " + player[1]);
}
}
public static int[][] selectBestTeam(int[][] players) {
Arrays.sort(players, Comparator.comparingInt(a -> a[0]).reversed());
int[][] selectedPlayers = new int[11][2];
int totalSkillScore = 0;
for (int i = 0; i < players.length; i++) {
if (i >= 11) {
break;
}
selectedPlayers[i] = players[i];
totalSkillScore += players[i][0];
}
return selectedPlayers;
}
}