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| 1 | // Author : Saurav Kalsoor | |
| 2 | - | // Sort By Primes - JAVA |
| 2 | + | // Game with Thor and Loki - JAVA |
| 3 | ||
| 4 | import java.util.*; | |
| 5 | ||
| 6 | public class Test {
| |
| 7 | ||
| 8 | static Scanner sc = new Scanner(System.in); | |
| 9 | public static void main(String[] args) {
| |
| 10 | int n = sc.nextInt(); | |
| 11 | ||
| 12 | ArrayList<Integer> arr = new ArrayList<>(); | |
| 13 | ||
| 14 | for(int i=0; i < n; i++) {
| |
| 15 | int input = sc.nextInt(); | |
| 16 | arr.add(input); | |
| 17 | } | |
| 18 | ||
| 19 | - | ArrayList<Integer> result = sortPrimeNonPrime(arr, n); |
| 19 | + | gameWithThorAndLoki(arr, n); |
| 20 | - | |
| 20 | + | |
| 21 | - | for(int i=0; i < n; i++) |
| 21 | + | |
| 22 | - | System.out.print(result.get(i) + " "); |
| 22 | + | |
| 23 | - | |
| 23 | + | public static void gameWithThorAndLoki(ArrayList<Integer> arr, int n){
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| 24 | - | System.out.println(); |
| 24 | + | int start = 0, end = n - 1; |
| 25 | boolean isThorsTurn = true; | |
| 26 | ||
| 27 | - | public static ArrayList<Integer> sortPrimeNonPrime(ArrayList<Integer> arr, int n){
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| 27 | + | ArrayList<Integer> res = recurr(arr, start, end, isThorsTurn); |
| 28 | ||
| 29 | - | int maxLimit = 10001; |
| 29 | + | System.out.println(res.get(0) + " " + res.get(1)); |
| 30 | - | HashSet<Integer> primesSet = new HashSet<>(); |
| 30 | + | |
| 31 | - | boolean[] isPrime = new boolean[maxLimit]; |
| 31 | + | |
| 32 | public static ArrayList<Integer> recurr(ArrayList<Integer> arr, int start, int end, boolean isThorsTurn){
| |
| 33 | - | for(int i=2; i < maxLimit; i++) isPrime[i] = true; |
| 33 | + | if(start > end){
|
| 34 | ArrayList<Integer> res = new ArrayList<Integer>(); | |
| 35 | - | for(int i=2; i < maxLimit; i++){
|
| 35 | + | res.add(0); |
| 36 | - | if(isPrime[i]){
|
| 36 | + | res.add(0); |
| 37 | - | primesSet.add(i); |
| 37 | + | return res; |
| 38 | - | for(int j = i*i ; j < maxLimit; j += i) |
| 38 | + | } |
| 39 | - | isPrime[j] = false; |
| 39 | + | |
| 40 | - | } |
| 40 | + | int left = arr.get(start); |
| 41 | int right = arr.get(end); | |
| 42 | int currThor = 0, currLoki = 0; | |
| 43 | - | ArrayList<Integer> primes = new ArrayList<Integer>(); |
| 43 | + | |
| 44 | - | ArrayList<Integer> nonPrimes = new ArrayList<Integer>(); |
| 44 | + | if(isThorsTurn){
|
| 45 | currThor = Math.max(left, right); | |
| 46 | - | for(int i=0; i < n; i++){
|
| 46 | + | currLoki = Math.min(left, right); |
| 47 | - | if(primesSet.contains(arr.get(i))){
|
| 47 | + | }else{
|
| 48 | - | primes.add(arr.get(i)); |
| 48 | + | currLoki = Math.max(left, right); |
| 49 | - | }else{
|
| 49 | + | currThor = Math.min(left, right); |
| 50 | - | nonPrimes.add(arr.get(i)); |
| 50 | + | } |
| 51 | - | } |
| 51 | + | |
| 52 | start++; | |
| 53 | end--; | |
| 54 | - | Collections.sort(primes); |
| 54 | + | ArrayList<Integer> res = recurr(arr, start, end, !isThorsTurn); |
| 55 | - | Collections.sort(nonPrimes, Collections.reverseOrder()); |
| 55 | + | |
| 56 | - | |
| 56 | + | res.set(0, res.get(0) + currThor); |
| 57 | - | ArrayList<Integer> result = new ArrayList<Integer>(); |
| 57 | + | res.set(1, res.get(1) + currLoki); |
| 58 | return res; | |
| 59 | - | int j = 0, k = 0; |
| 59 | + | } |
| 60 | - | for(int i=0; i < n; i++){
|
| 60 | + | |
| 61 | - | if(primesSet.contains(arr.get(i))){
|
| 61 | + | |
| 62 | - | result.add(primes.get(j)); |
| 62 | + | |
| 63 | - | j++; |
| 63 | + | |
| 64 | - | }else{
|
| 64 | + | |
| 65 | - | result.add(nonPrimes.get(k)); |
| 65 | + |