import java.util.*;

/**
 *
 *  Answer to the following question:
 *
 *  selam,
 *  diyelim guzellik yarismasinda 20 kisi var. 10 kisi bir sonraki tura cikacak. ben de
 *  5 kisilik tahmin yapiyorum. jurinin sectigi 10 arasinda benim listededen 4 ve üstü
 *  (4 ve 5 yani) kisi olmasinin olasiligi nedir?
 *
 */
public class OlasilikSorusu {

    public static void main(String[] args){

        int[] nominees = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20};
        int[] jurysChoices = new int[10];
        int[] myGuess = new int[5];
        int myScore = 0; // number of nominees i guessed right
        int myOverallChance = 0; // the number of runs i scores at least 4

        // jury decides only once
        jurysChoices = pickNRandom(nominees, 10);

//      // see how my random guess looks like
//      myGuess = pickNRandom(nominees, 5);
//      printArray(jurysChoices);
//      printArray(myGuess);
//      System.out.println(numberOfIntersection(jurysChoices, myGuess));

        // make 10000 guesses, see success rate
        int numberOfRuns = 10000;
        for(int i=0; i<numberOfRuns; i++){
            myGuess = pickNRandom(nominees, 5);
            myScore = numberOfIntersection(jurysChoices, myGuess);
            if(myScore >= 4 ){
                myOverallChance ++;
            }
        }

        System.out.println("I scored at least 4" + " in " + myOverallChance + "/" + numberOfRuns + " runs.");

    }

    public static int[] pickNRandom(int[] array, int n) {

        List<Integer> list = new ArrayList<Integer>(array.length);
        for (int i : array)
            list.add(i);
        Collections.shuffle(list);

        int[] answer = new int[n];
        for (int i = 0; i < n; i++)
            answer[i] = list.get(i);
        Arrays.sort(answer);

        return answer;
    }

    // some very crude search
    public static int numberOfIntersection(int[] biggerArray, int[] smallerArray){

        int intersectionCount = 0;

        for(int i=0; i<smallerArray.length; i++){

            for(int j:biggerArray){
                if(smallerArray[i] == j){
                    intersectionCount++;
                    break;
                }
            }
        }

        return intersectionCount;
    }


    public static void printArray(int[] array){
        String s = "";
        for(int i: array){
            s = s + i + " ";
        }
        System.out.println(s);
    }

}