for-loops solution for n sales

src/main/java/Solution.java

@@ -1,20 +1,56 @@
 import java.util.*;
-import java.io.*;
-import java.math.*;
+import java.util.stream.IntStream;
 
-/**
- * Template code to help you parse the standard input 
- * according to the problem statement.
- **/
 class Solution {
 	
 	public static void main( String[] args ) {
-		Scanner in = new Scanner( System.in );
 		// read values with in.next...() methods
-		
-		// code your solution here
+		var scanner = new Scanner( System.in );
+		var sellCount = scanner.nextInt(); 
+		var prices = scanner.tokens()
+				.mapToInt( Integer::valueOf )
+				.toArray();
 		
 		// Write result with System.out.println()
-		System.out.println( "value" );
+		System.out.println( maxProfits( sellCount, prices ));
+	}
+	
+	// code your solution here
+	// 0 - 1 | ... | x-sellCount - x  -->  0 - x-1 | ... | x-1 - x
+	private static int maxProfits( int sellCount, int[] prices ) {
+		var maxProfit = 0;
+		for ( int sale = 0; sale < sellCount; sale++ ) {
+			int max = 0;
+			// recursion end condition
+			if ( sellCount == 1 ) {  
+				max = maxProfit( prices );
+			}
+			else {
+				for ( int index = 2; index < prices.length; index++ ) {
+					var firstRange = Arrays.copyOfRange( prices, 0, index );
+					final int max1 = maxProfit( firstRange );
+					
+					var secondRange = Arrays.copyOfRange( prices, index, prices.length );
+					// reduce range sizes recursively
+					final int max2 = maxProfits( sellCount - 1, secondRange );
+					
+					max = Math.max( max, max1 + max2 );
+				}
+			}
+			maxProfit = Math.max( maxProfit, max );
+		}
+		return maxProfit;
 	}
+	
+	private static int maxProfit( int[] prices ) {
+		var maxProfit = 0;
+		for ( int index = 0; index < prices.length; index++ ) {
+			var range = Arrays.copyOfRange( prices, Math.min( index + 1, prices.length - 1 ), prices.length );
+			int max = IntStream.of( range ).max().orElse( 0 );
+			// difference between current price and future maximum
+			maxProfit = Math.max( maxProfit, max - prices[index] );
+		}
+		return maxProfit;
+	}
+	
 }