From b9eac741f209c8fd1e9afcb244b3cd1d3094ea98 Mon Sep 17 00:00:00 2001 From: Mattrixwv Date: Fri, 24 Jul 2020 12:34:19 -0400 Subject: [PATCH] Adjusted 67 to work with 18 --- .../ProjectEuler/Problems/Problem18.java | 69 ++-- .../ProjectEuler/Problems/Problem67.java | 379 +++++------------- 2 files changed, 138 insertions(+), 310 deletions(-) diff --git a/src/main/java/mattrixwv/ProjectEuler/Problems/Problem18.java b/src/main/java/mattrixwv/ProjectEuler/Problems/Problem18.java index b9f8ba9..c274762 100644 --- a/src/main/java/mattrixwv/ProjectEuler/Problems/Problem18.java +++ b/src/main/java/mattrixwv/ProjectEuler/Problems/Problem18.java @@ -50,7 +50,7 @@ import mattrixwv.ProjectEuler.Unsolved; public class Problem18 extends Problem{ //Structures //Used to keep track of where the best location came from - private static class location{ + protected static class location{ public int xLocation; public int yLocation; public int total; @@ -67,12 +67,31 @@ public class Problem18 extends Problem{ //Variables //Static variables - private static final int NUM_ROWS = 15; //The number of rows in the array - private ArrayList> list; //The list to hold the numbers in + protected static ArrayList> list; //The list to hold the numbers in + static{ + list = new ArrayList>( + Arrays.asList( + new ArrayList(Arrays.asList(75)), + new ArrayList(Arrays.asList(95, 64)), + new ArrayList(Arrays.asList(17, 47, 82)), + new ArrayList(Arrays.asList(18, 35, 87, 10)), + new ArrayList(Arrays.asList(20, 04, 82, 47, 65)), + new ArrayList(Arrays.asList(19, 01, 23, 75, 03, 34)), + new ArrayList(Arrays.asList(88, 02, 77, 73, 07, 63, 67)), + new ArrayList(Arrays.asList(99, 65, 04, 28, 06, 16, 70, 92)), + new ArrayList(Arrays.asList(41, 41, 26, 56, 83, 40, 80, 70, 33)), + new ArrayList(Arrays.asList(41, 48, 72, 33, 47, 32, 37, 16, 94, 29)), + new ArrayList(Arrays.asList(53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14)), + new ArrayList(Arrays.asList(70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57)), + new ArrayList(Arrays.asList(91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48)), + new ArrayList(Arrays.asList(63, 66, 04, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31)), + new ArrayList(Arrays.asList(04, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 04, 23)) + )); + } //Instance variables - private ArrayList foundPoints; //For the points that I have already found the shortest distance to - private ArrayList possiblePoints; //For the locations you are checking this round - private int actualTotal; //The true total of the path from the top to the bottom + protected ArrayList foundPoints; //For the points that I have already found the shortest distance to + protected ArrayList possiblePoints; //For the locations you are checking this round + protected int actualTotal; //The true total of the path from the top to the bottom //Functions //Constructor @@ -84,7 +103,7 @@ public class Problem18 extends Problem{ } //Operational functions //This function turns every number in the array into (100 - num) to allow you to find the largest numbers rather than the smallest - private void invert(ArrayList> list){ + protected void invert(ArrayList> list){ //Loop through every row in the list for(int rowCnt = 0;rowCnt < list.size();++rowCnt){ //Loop through every column in the list @@ -95,29 +114,10 @@ public class Problem18 extends Problem{ } } //This function helps by removing the element that is the same as the minimum location - private void removeHelper(ArrayList possiblePoints, final location minLoc){ + protected void removeHelper(ArrayList possiblePoints, final location minLoc){ possiblePoints.removeIf(loc -> ((loc.xLocation == minLoc.xLocation) && (loc.yLocation == minLoc.yLocation))); } //Operational functions - //Setup the list - private void setupList(){ - list = new ArrayList>(); - list.add(new ArrayList(Arrays.asList(75))); - list.add(new ArrayList(Arrays.asList(95, 64))); - list.add(new ArrayList(Arrays.asList(17, 47, 82))); - list.add(new ArrayList(Arrays.asList(18, 35, 87, 10))); - list.add(new ArrayList(Arrays.asList(20, 04, 82, 47, 65))); - list.add(new ArrayList(Arrays.asList(19, 01, 23, 75, 03, 34))); - list.add(new ArrayList(Arrays.asList(88, 02, 77, 73, 07, 63, 67))); - list.add(new ArrayList(Arrays.asList(99, 65, 04, 28, 06, 16, 70, 92))); - list.add(new ArrayList(Arrays.asList(41, 41, 26, 56, 83, 40, 80, 70, 33))); - list.add(new ArrayList(Arrays.asList(41, 48, 72, 33, 47, 32, 37, 16, 94, 29))); - list.add(new ArrayList(Arrays.asList(53, 71, 44, 65, 25, 43, 91, 52, 97, 51, 14))); - list.add(new ArrayList(Arrays.asList(70, 11, 33, 28, 77, 73, 17, 78, 39, 68, 17, 57))); - list.add(new ArrayList(Arrays.asList(91, 71, 52, 38, 17, 14, 91, 43, 58, 50, 27, 29, 48))); - list.add(new ArrayList(Arrays.asList(63, 66, 04, 68, 89, 53, 67, 30, 73, 16, 69, 87, 40, 31))); - list.add(new ArrayList(Arrays.asList(04, 62, 98, 27, 23, 9, 70, 98, 73, 93, 38, 53, 60, 04, 23))); - } //Solve the problem public void solve(){ //If the problem has already been solved do nothing and end the function @@ -125,9 +125,6 @@ public class Problem18 extends Problem{ return; } - //Setup the list you are trying to find a path through - setupList(); - //Start the timer timer.start(); @@ -160,7 +157,7 @@ public class Problem18 extends Problem{ //If you are at the bottom raise the flag to end the program int xLoc = minLoc.xLocation; int yLoc = minLoc.yLocation + 1; //Add one because you will always be moving to the next row - if(yLoc >= NUM_ROWS){ + if(yLoc >= list.size()){ foundBottom = true; } else{ @@ -176,9 +173,12 @@ public class Problem18 extends Problem{ //Stop the timer timer.stop(); + //Invert the list again so it is correct + invert(list); + //Save the results //Get the correct total which will be the inversion of the current one - int actualTotal = ((100 * NUM_ROWS) - foundPoints.get(foundPoints.size() - 1).total); + int actualTotal = ((100 * list.size()) - foundPoints.get(foundPoints.size() - 1).total); result = String.format("The value of the longest path is " + actualTotal); @@ -195,11 +195,6 @@ public class Problem18 extends Problem{ //Gets //Returns the pyramid that was traversed as a string public String getPyramid(){ - //If the problem hasn't been solved throw an exception - if(!solved){ - throw new Unsolved(); - } - StringBuilder results = new StringBuilder(); //Loop through all elements of the list and print them for(ArrayList row : list){ diff --git a/src/main/java/mattrixwv/ProjectEuler/Problems/Problem67.java b/src/main/java/mattrixwv/ProjectEuler/Problems/Problem67.java index 0a36229..4ce39e6 100644 --- a/src/main/java/mattrixwv/ProjectEuler/Problems/Problem67.java +++ b/src/main/java/mattrixwv/ProjectEuler/Problems/Problem67.java @@ -129,282 +129,115 @@ package mattrixwv.ProjectEuler.Problems; import java.util.ArrayList; import java.util.Arrays; -import mattrixwv.ProjectEuler.Unsolved; +//import mattrixwv.ProjectEuler.Unsolved; -public class Problem67 extends Problem{ - //Structures - //Used to keep track of where the best location came from - private class location{ - public int xLocation; - public int yLocation; - public int total; - //Originally used in debugging - @SuppressWarnings("unused") - public boolean fromRight; - location(int x, int y, int t, boolean r){ - xLocation = x; - yLocation = y; - total = t; - fromRight = r; - } - } - - //Variables - //Static variables - private static final int NUM_ROWS = 100; //The number of rows in the array - //Instance variables - private ArrayList> list; //Setup the list you are trying to find a path through - private ArrayList foundPoints; //For the points that I have already found the shortest distance to - private ArrayList possiblePoints; //For the locations you are checking this round - private int actualTotal; //The true total of the path from the top to the bottom - - //Functions - //Constructor - public Problem67(){ - super("Find the maximum total from top to bottom"); - list = new ArrayList>(); - foundPoints = new ArrayList(); - possiblePoints = new ArrayList(); - actualTotal = 0; - } - //Operational functions - //This function turns every number in the array into (100 - num) to allow you to find the largest numbers rather than the smallest - private void invert(ArrayList> list){ - //Loop through every row in the list - for(int rowCnt = 0;rowCnt < list.size();++rowCnt){ - //Loop through every column in the list - for(int colCnt = 0;colCnt < list.get(rowCnt).size();++colCnt){ - //The current element gets the value of 100 - value - list.get(rowCnt).set(colCnt, 100 - list.get(rowCnt).get(colCnt)); - } - } - } - //This function helps by removing the element that is the same as the minimum location - private void removeHelper(ArrayList possiblePoints, final location minLoc){ - possiblePoints.removeIf(loc -> ((loc.xLocation == minLoc.xLocation) && (loc.yLocation == minLoc.yLocation))); - } +public class Problem67 extends Problem18{ //Setup the list of numbers to check - private void setupList(){ - list.ensureCapacity(NUM_ROWS); - list.add(new ArrayList(Arrays.asList(59))); - list.add(new ArrayList(Arrays.asList(73, 41))); - list.add(new ArrayList(Arrays.asList(52, 40, 9))); - list.add(new ArrayList(Arrays.asList(26, 53, 06, 34))); - list.add(new ArrayList(Arrays.asList(10, 51, 87, 86, 81))); - list.add(new ArrayList(Arrays.asList(61, 95, 66, 57, 25, 68))); - list.add(new ArrayList(Arrays.asList(90, 81, 80, 38, 92, 67, 73))); - list.add(new ArrayList(Arrays.asList(30, 28, 51, 76, 81, 18, 75, 44))); - list.add(new ArrayList(Arrays.asList(84, 14, 95, 87, 62, 81, 17, 78, 58))); - list.add(new ArrayList(Arrays.asList(21, 46, 71, 58, 02, 79, 62, 39, 31, 9))); - list.add(new ArrayList(Arrays.asList(56, 34, 35, 53, 78, 31, 81, 18, 90, 93, 15))); - list.add(new ArrayList(Arrays.asList(78, 53, 04, 21, 84, 93, 32, 13, 97, 11, 37, 51))); - list.add(new ArrayList(Arrays.asList(45, 03, 81, 79, 05, 18, 78, 86, 13, 30, 63, 99, 95))); - list.add(new ArrayList(Arrays.asList(39, 87, 96, 28, 03, 38, 42, 17, 82, 87, 58, 07, 22, 57))); - list.add(new ArrayList(Arrays.asList(06, 17, 51, 17, 07, 93, 9, 07, 75, 97, 95, 78, 87, 8, 53))); - list.add(new ArrayList(Arrays.asList(67, 66, 59, 60, 88, 99, 94, 65, 55, 77, 55, 34, 27, 53, 78, 28))); - list.add(new ArrayList(Arrays.asList(76, 40, 41, 04, 87, 16, 9, 42, 75, 69, 23, 97, 30, 60, 10, 79, 87))); - list.add(new ArrayList(Arrays.asList(12, 10, 44, 26, 21, 36, 32, 84, 98, 60, 13, 12, 36, 16, 63, 31, 91, 35))); - list.add(new ArrayList(Arrays.asList(70, 39, 06, 05, 55, 27, 38, 48, 28, 22, 34, 35, 62, 62, 15, 14, 94, 89, 86))); - list.add(new ArrayList(Arrays.asList(66, 56, 68, 84, 96, 21, 34, 34, 34, 81, 62, 40, 65, 54, 62, 05, 98, 03, 02, 60))); - list.add(new ArrayList(Arrays.asList(38, 89, 46, 37, 99, 54, 34, 53, 36, 14, 70, 26, 02, 90, 45, 13, 31, 61, 83, 73, 47))); - list.add(new ArrayList(Arrays.asList(36, 10, 63, 96, 60, 49, 41, 05, 37, 42, 14, 58, 84, 93, 96, 17, 9, 43, 05, 43, 06, 59))); - list.add(new ArrayList(Arrays.asList(66, 57, 87, 57, 61, 28, 37, 51, 84, 73, 79, 15, 39, 95, 88, 87, 43, 39, 11, 86, 77, 74, 18))); - list.add(new ArrayList(Arrays.asList(54, 42, 05, 79, 30, 49, 99, 73, 46, 37, 50, 02, 45, 9, 54, 52, 27, 95, 27, 65, 19, 45, 26, 45))); - list.add(new ArrayList(Arrays.asList(71, 39, 17, 78, 76, 29, 52, 90, 18, 99, 78, 19, 35, 62, 71, 19, 23, 65, 93, 85, 49, 33, 75, 9, 02))); - list.add(new ArrayList(Arrays.asList(33, 24, 47, 61, 60, 55, 32, 88, 57, 55, 91, 54, 46, 57, 07, 77, 98, 52, 80, 99, 24, 25, 46, 78, 79, 05))); - list.add(new ArrayList(Arrays.asList(92, 9, 13, 55, 10, 67, 26, 78, 76, 82, 63, 49, 51, 31, 24, 68, 05, 57, 07, 54, 69, 21, 67, 43, 17, 63, 12))); - list.add(new ArrayList(Arrays.asList(24, 59, 06, 8, 98, 74, 66, 26, 61, 60, 13, 03, 9, 9, 24, 30, 71, 8, 88, 70, 72, 70, 29, 90, 11, 82, 41, 34))); - list.add(new ArrayList(Arrays.asList(66, 82, 67, 04, 36, 60, 92, 77, 91, 85, 62, 49, 59, 61, 30, 90, 29, 94, 26, 41, 89, 04, 53, 22, 83, 41, 9, 74, 90))); - list.add(new ArrayList(Arrays.asList(48, 28, 26, 37, 28, 52, 77, 26, 51, 32, 18, 98, 79, 36, 62, 13, 17, 8, 19, 54, 89, 29, 73, 68, 42, 14, 8, 16, 70, 37))); - list.add(new ArrayList(Arrays.asList(37, 60, 69, 70, 72, 71, 9, 59, 13, 60, 38, 13, 57, 36, 9, 30, 43, 89, 30, 39, 15, 02, 44, 73, 05, 73, 26, 63, 56, 86, 12))); - list.add(new ArrayList(Arrays.asList(55, 55, 85, 50, 62, 99, 84, 77, 28, 85, 03, 21, 27, 22, 19, 26, 82, 69, 54, 04, 13, 07, 85, 14, 01, 15, 70, 59, 89, 95, 10, 19))); - list.add(new ArrayList(Arrays.asList(04, 9, 31, 92, 91, 38, 92, 86, 98, 75, 21, 05, 64, 42, 62, 84, 36, 20, 73, 42, 21, 23, 22, 51, 51, 79, 25, 45, 85, 53, 03, 43, 22))); - list.add(new ArrayList(Arrays.asList(75, 63, 02, 49, 14, 12, 89, 14, 60, 78, 92, 16, 44, 82, 38, 30, 72, 11, 46, 52, 90, 27, 8, 65, 78, 03, 85, 41, 57, 79, 39, 52, 33, 48))); - list.add(new ArrayList(Arrays.asList(78, 27, 56, 56, 39, 13, 19, 43, 86, 72, 58, 95, 39, 07, 04, 34, 21, 98, 39, 15, 39, 84, 89, 69, 84, 46, 37, 57, 59, 35, 59, 50, 26, 15, 93))); - list.add(new ArrayList(Arrays.asList(42, 89, 36, 27, 78, 91, 24, 11, 17, 41, 05, 94, 07, 69, 51, 96, 03, 96, 47, 90, 90, 45, 91, 20, 50, 56, 10, 32, 36, 49, 04, 53, 85, 92, 25, 65))); - list.add(new ArrayList(Arrays.asList(52, 9, 61, 30, 61, 97, 66, 21, 96, 92, 98, 90, 06, 34, 96, 60, 32, 69, 68, 33, 75, 84, 18, 31, 71, 50, 84, 63, 03, 03, 19, 11, 28, 42, 75, 45, 45))); - list.add(new ArrayList(Arrays.asList(61, 31, 61, 68, 96, 34, 49, 39, 05, 71, 76, 59, 62, 67, 06, 47, 96, 99, 34, 21, 32, 47, 52, 07, 71, 60, 42, 72, 94, 56, 82, 83, 84, 40, 94, 87, 82, 46))); - list.add(new ArrayList(Arrays.asList(01, 20, 60, 14, 17, 38, 26, 78, 66, 81, 45, 95, 18, 51, 98, 81, 48, 16, 53, 88, 37, 52, 69, 95, 72, 93, 22, 34, 98, 20, 54, 27, 73, 61, 56, 63, 60, 34, 63))); - list.add(new ArrayList(Arrays.asList(93, 42, 94, 83, 47, 61, 27, 51, 79, 79, 45, 01, 44, 73, 31, 70, 83, 42, 88, 25, 53, 51, 30, 15, 65, 94, 80, 44, 61, 84, 12, 77, 02, 62, 02, 65, 94, 42, 14, 94))); - list.add(new ArrayList(Arrays.asList(32, 73, 9, 67, 68, 29, 74, 98, 10, 19, 85, 48, 38, 31, 85, 67, 53, 93, 93, 77, 47, 67, 39, 72, 94, 53, 18, 43, 77, 40, 78, 32, 29, 59, 24, 06, 02, 83, 50, 60, 66))); - list.add(new ArrayList(Arrays.asList(32, 01, 44, 30, 16, 51, 15, 81, 98, 15, 10, 62, 86, 79, 50, 62, 45, 60, 70, 38, 31, 85, 65, 61, 64, 06, 69, 84, 14, 22, 56, 43, 9, 48, 66, 69, 83, 91, 60, 40, 36, 61))); - list.add(new ArrayList(Arrays.asList(92, 48, 22, 99, 15, 95, 64, 43, 01, 16, 94, 02, 99, 19, 17, 69, 11, 58, 97, 56, 89, 31, 77, 45, 67, 96, 12, 73, 8, 20, 36, 47, 81, 44, 50, 64, 68, 85, 40, 81, 85, 52, 9))); - list.add(new ArrayList(Arrays.asList(91, 35, 92, 45, 32, 84, 62, 15, 19, 64, 21, 66, 06, 01, 52, 80, 62, 59, 12, 25, 88, 28, 91, 50, 40, 16, 22, 99, 92, 79, 87, 51, 21, 77, 74, 77, 07, 42, 38, 42, 74, 83, 02, 05))); - list.add(new ArrayList(Arrays.asList(46, 19, 77, 66, 24, 18, 05, 32, 02, 84, 31, 99, 92, 58, 96, 72, 91, 36, 62, 99, 55, 29, 53, 42, 12, 37, 26, 58, 89, 50, 66, 19, 82, 75, 12, 48, 24, 87, 91, 85, 02, 07, 03, 76, 86))); - list.add(new ArrayList(Arrays.asList(99, 98, 84, 93, 07, 17, 33, 61, 92, 20, 66, 60, 24, 66, 40, 30, 67, 05, 37, 29, 24, 96, 03, 27, 70, 62, 13, 04, 45, 47, 59, 88, 43, 20, 66, 15, 46, 92, 30, 04, 71, 66, 78, 70, 53, 99))); - list.add(new ArrayList(Arrays.asList(67, 60, 38, 06, 88, 04, 17, 72, 10, 99, 71, 07, 42, 25, 54, 05, 26, 64, 91, 50, 45, 71, 06, 30, 67, 48, 69, 82, 8, 56, 80, 67, 18, 46, 66, 63, 01, 20, 8, 80, 47, 07, 91, 16, 03, 79, 87))); - list.add(new ArrayList(Arrays.asList(18, 54, 78, 49, 80, 48, 77, 40, 68, 23, 60, 88, 58, 80, 33, 57, 11, 69, 55, 53, 64, 02, 94, 49, 60, 92, 16, 35, 81, 21, 82, 96, 25, 24, 96, 18, 02, 05, 49, 03, 50, 77, 06, 32, 84, 27, 18, 38))); - list.add(new ArrayList(Arrays.asList(68, 01, 50, 04, 03, 21, 42, 94, 53, 24, 89, 05, 92, 26, 52, 36, 68, 11, 85, 01, 04, 42, 02, 45, 15, 06, 50, 04, 53, 73, 25, 74, 81, 88, 98, 21, 67, 84, 79, 97, 99, 20, 95, 04, 40, 46, 02, 58, 87))); - list.add(new ArrayList(Arrays.asList(94, 10, 02, 78, 88, 52, 21, 03, 88, 60, 06, 53, 49, 71, 20, 91, 12, 65, 07, 49, 21, 22, 11, 41, 58, 99, 36, 16, 9, 48, 17, 24, 52, 36, 23, 15, 72, 16, 84, 56, 02, 99, 43, 76, 81, 71, 29, 39, 49, 17))); - list.add(new ArrayList(Arrays.asList(64, 39, 59, 84, 86, 16, 17, 66, 03, 9, 43, 06, 64, 18, 63, 29, 68, 06, 23, 07, 87, 14, 26, 35, 17, 12, 98, 41, 53, 64, 78, 18, 98, 27, 28, 84, 80, 67, 75, 62, 10, 11, 76, 90, 54, 10, 05, 54, 41, 39, 66))); - list.add(new ArrayList(Arrays.asList(43, 83, 18, 37, 32, 31, 52, 29, 95, 47, 8, 76, 35, 11, 04, 53, 35, 43, 34, 10, 52, 57, 12, 36, 20, 39, 40, 55, 78, 44, 07, 31, 38, 26, 8, 15, 56, 88, 86, 01, 52, 62, 10, 24, 32, 05, 60, 65, 53, 28, 57, 99))); - list.add(new ArrayList(Arrays.asList(03, 50, 03, 52, 07, 73, 49, 92, 66, 80, 01, 46, 8, 67, 25, 36, 73, 93, 07, 42, 25, 53, 13, 96, 76, 83, 87, 90, 54, 89, 78, 22, 78, 91, 73, 51, 69, 9, 79, 94, 83, 53, 9, 40, 69, 62, 10, 79, 49, 47, 03, 81, 30))); - list.add(new ArrayList(Arrays.asList(71, 54, 73, 33, 51, 76, 59, 54, 79, 37, 56, 45, 84, 17, 62, 21, 98, 69, 41, 95, 65, 24, 39, 37, 62, 03, 24, 48, 54, 64, 46, 82, 71, 78, 33, 67, 9, 16, 96, 68, 52, 74, 79, 68, 32, 21, 13, 78, 96, 60, 9, 69, 20, 36))); - list.add(new ArrayList(Arrays.asList(73, 26, 21, 44, 46, 38, 17, 83, 65, 98, 07, 23, 52, 46, 61, 97, 33, 13, 60, 31, 70, 15, 36, 77, 31, 58, 56, 93, 75, 68, 21, 36, 69, 53, 90, 75, 25, 82, 39, 50, 65, 94, 29, 30, 11, 33, 11, 13, 96, 02, 56, 47, 07, 49, 02))); - list.add(new ArrayList(Arrays.asList(76, 46, 73, 30, 10, 20, 60, 70, 14, 56, 34, 26, 37, 39, 48, 24, 55, 76, 84, 91, 39, 86, 95, 61, 50, 14, 53, 93, 64, 67, 37, 31, 10, 84, 42, 70, 48, 20, 10, 72, 60, 61, 84, 79, 69, 65, 99, 73, 89, 25, 85, 48, 92, 56, 97, 16))); - list.add(new ArrayList(Arrays.asList(03, 14, 80, 27, 22, 30, 44, 27, 67, 75, 79, 32, 51, 54, 81, 29, 65, 14, 19, 04, 13, 82, 04, 91, 43, 40, 12, 52, 29, 99, 07, 76, 60, 25, 01, 07, 61, 71, 37, 92, 40, 47, 99, 66, 57, 01, 43, 44, 22, 40, 53, 53, 9, 69, 26, 81, 07))); - list.add(new ArrayList(Arrays.asList(49, 80, 56, 90, 93, 87, 47, 13, 75, 28, 87, 23, 72, 79, 32, 18, 27, 20, 28, 10, 37, 59, 21, 18, 70, 04, 79, 96, 03, 31, 45, 71, 81, 06, 14, 18, 17, 05, 31, 50, 92, 79, 23, 47, 9, 39, 47, 91, 43, 54, 69, 47, 42, 95, 62, 46, 32, 85))); - list.add(new ArrayList(Arrays.asList(37, 18, 62, 85, 87, 28, 64, 05, 77, 51, 47, 26, 30, 65, 05, 70, 65, 75, 59, 80, 42, 52, 25, 20, 44, 10, 92, 17, 71, 95, 52, 14, 77, 13, 24, 55, 11, 65, 26, 91, 01, 30, 63, 15, 49, 48, 41, 17, 67, 47, 03, 68, 20, 90, 98, 32, 04, 40, 68))); - list.add(new ArrayList(Arrays.asList(90, 51, 58, 60, 06, 55, 23, 68, 05, 19, 76, 94, 82, 36, 96, 43, 38, 90, 87, 28, 33, 83, 05, 17, 70, 83, 96, 93, 06, 04, 78, 47, 80, 06, 23, 84, 75, 23, 87, 72, 99, 14, 50, 98, 92, 38, 90, 64, 61, 58, 76, 94, 36, 66, 87, 80, 51, 35, 61, 38))); - list.add(new ArrayList(Arrays.asList(57, 95, 64, 06, 53, 36, 82, 51, 40, 33, 47, 14, 07, 98, 78, 65, 39, 58, 53, 06, 50, 53, 04, 69, 40, 68, 36, 69, 75, 78, 75, 60, 03, 32, 39, 24, 74, 47, 26, 90, 13, 40, 44, 71, 90, 76, 51, 24, 36, 50, 25, 45, 70, 80, 61, 80, 61, 43, 90, 64, 11))); - list.add(new ArrayList(Arrays.asList(18, 29, 86, 56, 68, 42, 79, 10, 42, 44, 30, 12, 96, 18, 23, 18, 52, 59, 02, 99, 67, 46, 60, 86, 43, 38, 55, 17, 44, 93, 42, 21, 55, 14, 47, 34, 55, 16, 49, 24, 23, 29, 96, 51, 55, 10, 46, 53, 27, 92, 27, 46, 63, 57, 30, 65, 43, 27, 21, 20, 24, 83))); - list.add(new ArrayList(Arrays.asList(81, 72, 93, 19, 69, 52, 48, 01, 13, 83, 92, 69, 20, 48, 69, 59, 20, 62, 05, 42, 28, 89, 90, 99, 32, 72, 84, 17, 8, 87, 36, 03, 60, 31, 36, 36, 81, 26, 97, 36, 48, 54, 56, 56, 27, 16, 91, 8, 23, 11, 87, 99, 33, 47, 02, 14, 44, 73, 70, 99, 43, 35, 33))); - list.add(new ArrayList(Arrays.asList(90, 56, 61, 86, 56, 12, 70, 59, 63, 32, 01, 15, 81, 47, 71, 76, 95, 32, 65, 80, 54, 70, 34, 51, 40, 45, 33, 04, 64, 55, 78, 68, 88, 47, 31, 47, 68, 87, 03, 84, 23, 44, 89, 72, 35, 8, 31, 76, 63, 26, 90, 85, 96, 67, 65, 91, 19, 14, 17, 86, 04, 71, 32, 95))); - list.add(new ArrayList(Arrays.asList(37, 13, 04, 22, 64, 37, 37, 28, 56, 62, 86, 33, 07, 37, 10, 44, 52, 82, 52, 06, 19, 52, 57, 75, 90, 26, 91, 24, 06, 21, 14, 67, 76, 30, 46, 14, 35, 89, 89, 41, 03, 64, 56, 97, 87, 63, 22, 34, 03, 79, 17, 45, 11, 53, 25, 56, 96, 61, 23, 18, 63, 31, 37, 37, 47))); - list.add(new ArrayList(Arrays.asList(77, 23, 26, 70, 72, 76, 77, 04, 28, 64, 71, 69, 14, 85, 96, 54, 95, 48, 06, 62, 99, 83, 86, 77, 97, 75, 71, 66, 30, 19, 57, 90, 33, 01, 60, 61, 14, 12, 90, 99, 32, 77, 56, 41, 18, 14, 87, 49, 10, 14, 90, 64, 18, 50, 21, 74, 14, 16, 88, 05, 45, 73, 82, 47, 74, 44))); - list.add(new ArrayList(Arrays.asList(22, 97, 41, 13, 34, 31, 54, 61, 56, 94, 03, 24, 59, 27, 98, 77, 04, 9, 37, 40, 12, 26, 87, 9, 71, 70, 07, 18, 64, 57, 80, 21, 12, 71, 83, 94, 60, 39, 73, 79, 73, 19, 97, 32, 64, 29, 41, 07, 48, 84, 85, 67, 12, 74, 95, 20, 24, 52, 41, 67, 56, 61, 29, 93, 35, 72, 69))); - list.add(new ArrayList(Arrays.asList(72, 23, 63, 66, 01, 11, 07, 30, 52, 56, 95, 16, 65, 26, 83, 90, 50, 74, 60, 18, 16, 48, 43, 77, 37, 11, 99, 98, 30, 94, 91, 26, 62, 73, 45, 12, 87, 73, 47, 27, 01, 88, 66, 99, 21, 41, 95, 80, 02, 53, 23, 32, 61, 48, 32, 43, 43, 83, 14, 66, 95, 91, 19, 81, 80, 67, 25, 88))); - list.add(new ArrayList(Arrays.asList( 8, 62, 32, 18, 92, 14, 83, 71, 37, 96, 11, 83, 39, 99, 05, 16, 23, 27, 10, 67, 02, 25, 44, 11, 55, 31, 46, 64, 41, 56, 44, 74, 26, 81, 51, 31, 45, 85, 87, 9, 81, 95, 22, 28, 76, 69, 46, 48, 64, 87, 67, 76, 27, 89, 31, 11, 74, 16, 62, 03, 60, 94, 42, 47, 9, 34, 94, 93, 72))); - list.add(new ArrayList(Arrays.asList(56, 18, 90, 18, 42, 17, 42, 32, 14, 86, 06, 53, 33, 95, 99, 35, 29, 15, 44, 20, 49, 59, 25, 54, 34, 59, 84, 21, 23, 54, 35, 90, 78, 16, 93, 13, 37, 88, 54, 19, 86, 67, 68, 55, 66, 84, 65, 42, 98, 37, 87, 56, 33, 28, 58, 38, 28, 38, 66, 27, 52, 21, 81, 15, 8, 22, 97, 32, 85, 27))); - list.add(new ArrayList(Arrays.asList(91, 53, 40, 28, 13, 34, 91, 25, 01, 63, 50, 37, 22, 49, 71, 58, 32, 28, 30, 18, 68, 94, 23, 83, 63, 62, 94, 76, 80, 41, 90, 22, 82, 52, 29, 12, 18, 56, 10, 8, 35, 14, 37, 57, 23, 65, 67, 40, 72, 39, 93, 39, 70, 89, 40, 34, 07, 46, 94, 22, 20, 05, 53, 64, 56, 30, 05, 56, 61, 88, 27))); - list.add(new ArrayList(Arrays.asList(23, 95, 11, 12, 37, 69, 68, 24, 66, 10, 87, 70, 43, 50, 75, 07, 62, 41, 83, 58, 95, 93, 89, 79, 45, 39, 02, 22, 05, 22, 95, 43, 62, 11, 68, 29, 17, 40, 26, 44, 25, 71, 87, 16, 70, 85, 19, 25, 59, 94, 90, 41, 41, 80, 61, 70, 55, 60, 84, 33, 95, 76, 42, 63, 15, 9, 03, 40, 38, 12, 03, 32))); - list.add(new ArrayList(Arrays.asList( 9, 84, 56, 80, 61, 55, 85, 97, 16, 94, 82, 94, 98, 57, 84, 30, 84, 48, 93, 90, 71, 05, 95, 90, 73, 17, 30, 98, 40, 64, 65, 89, 07, 79, 9, 19, 56, 36, 42, 30, 23, 69, 73, 72, 07, 05, 27, 61, 24, 31, 43, 48, 71, 84, 21, 28, 26, 65, 65, 59, 65, 74, 77, 20, 10, 81, 61, 84, 95, 8, 52, 23, 70))); - list.add(new ArrayList(Arrays.asList(47, 81, 28, 9, 98, 51, 67, 64, 35, 51, 59, 36, 92, 82, 77, 65, 80, 24, 72, 53, 22, 07, 27, 10, 21, 28, 30, 22, 48, 82, 80, 48, 56, 20, 14, 43, 18, 25, 50, 95, 90, 31, 77, 8, 9, 48, 44, 80, 90, 22, 93, 45, 82, 17, 13, 96, 25, 26, 8, 73, 34, 99, 06, 49, 24, 06, 83, 51, 40, 14, 15, 10, 25, 01))); - list.add(new ArrayList(Arrays.asList(54, 25, 10, 81, 30, 64, 24, 74, 75, 80, 36, 75, 82, 60, 22, 69, 72, 91, 45, 67, 03, 62, 79, 54, 89, 74, 44, 83, 64, 96, 66, 73, 44, 30, 74, 50, 37, 05, 9, 97, 70, 01, 60, 46, 37, 91, 39, 75, 75, 18, 58, 52, 72, 78, 51, 81, 86, 52, 8, 97, 01, 46, 43, 66, 98, 62, 81, 18, 70, 93, 73, 8, 32, 46, 34))); - list.add(new ArrayList(Arrays.asList(96, 80, 82, 07, 59, 71, 92, 53, 19, 20, 88, 66, 03, 26, 26, 10, 24, 27, 50, 82, 94, 73, 63, 8, 51, 33, 22, 45, 19, 13, 58, 33, 90, 15, 22, 50, 36, 13, 55, 06, 35, 47, 82, 52, 33, 61, 36, 27, 28, 46, 98, 14, 73, 20, 73, 32, 16, 26, 80, 53, 47, 66, 76, 38, 94, 45, 02, 01, 22, 52, 47, 96, 64, 58, 52, 39))); - list.add(new ArrayList(Arrays.asList(88, 46, 23, 39, 74, 63, 81, 64, 20, 90, 33, 33, 76, 55, 58, 26, 10, 46, 42, 26, 74, 74, 12, 83, 32, 43, 9, 02, 73, 55, 86, 54, 85, 34, 28, 23, 29, 79, 91, 62, 47, 41, 82, 87, 99, 22, 48, 90, 20, 05, 96, 75, 95, 04, 43, 28, 81, 39, 81, 01, 28, 42, 78, 25, 39, 77, 90, 57, 58, 98, 17, 36, 73, 22, 63, 74, 51))); - list.add(new ArrayList(Arrays.asList(29, 39, 74, 94, 95, 78, 64, 24, 38, 86, 63, 87, 93, 06, 70, 92, 22, 16, 80, 64, 29, 52, 20, 27, 23, 50, 14, 13, 87, 15, 72, 96, 81, 22, 8, 49, 72, 30, 70, 24, 79, 31, 16, 64, 59, 21, 89, 34, 96, 91, 48, 76, 43, 53, 88, 01, 57, 80, 23, 81, 90, 79, 58, 01, 80, 87, 17, 99, 86, 90, 72, 63, 32, 69, 14, 28, 88, 69))); - list.add(new ArrayList(Arrays.asList(37, 17, 71, 95, 56, 93, 71, 35, 43, 45, 04, 98, 92, 94, 84, 96, 11, 30, 31, 27, 31, 60, 92, 03, 48, 05, 98, 91, 86, 94, 35, 90, 90, 8, 48, 19, 33, 28, 68, 37, 59, 26, 65, 96, 50, 68, 22, 07, 9, 49, 34, 31, 77, 49, 43, 06, 75, 17, 81, 87, 61, 79, 52, 26, 27, 72, 29, 50, 07, 98, 86, 01, 17, 10, 46, 64, 24, 18, 56))); - list.add(new ArrayList(Arrays.asList(51, 30, 25, 94, 88, 85, 79, 91, 40, 33, 63, 84, 49, 67, 98, 92, 15, 26, 75, 19, 82, 05, 18, 78, 65, 93, 61, 48, 91, 43, 59, 41, 70, 51, 22, 15, 92, 81, 67, 91, 46, 98, 11, 11, 65, 31, 66, 10, 98, 65, 83, 21, 05, 56, 05, 98, 73, 67, 46, 74, 69, 34, 8, 30, 05, 52, 07, 98, 32, 95, 30, 94, 65, 50, 24, 63, 28, 81, 99, 57))); - list.add(new ArrayList(Arrays.asList(19, 23, 61, 36, 9, 89, 71, 98, 65, 17, 30, 29, 89, 26, 79, 74, 94, 11, 44, 48, 97, 54, 81, 55, 39, 66, 69, 45, 28, 47, 13, 86, 15, 76, 74, 70, 84, 32, 36, 33, 79, 20, 78, 14, 41, 47, 89, 28, 81, 05, 99, 66, 81, 86, 38, 26, 06, 25, 13, 60, 54, 55, 23, 53, 27, 05, 89, 25, 23, 11, 13, 54, 59, 54, 56, 34, 16, 24, 53, 44, 06))); - list.add(new ArrayList(Arrays.asList(13, 40, 57, 72, 21, 15, 60, 8, 04, 19, 11, 98, 34, 45, 9, 97, 86, 71, 03, 15, 56, 19, 15, 44, 97, 31, 90, 04, 87, 87, 76, 8, 12, 30, 24, 62, 84, 28, 12, 85, 82, 53, 99, 52, 13, 94, 06, 65, 97, 86, 9, 50, 94, 68, 69, 74, 30, 67, 87, 94, 63, 07, 78, 27, 80, 36, 69, 41, 06, 92, 32, 78, 37, 82, 30, 05, 18, 87, 99, 72, 19, 99))); - list.add(new ArrayList(Arrays.asList(44, 20, 55, 77, 69, 91, 27, 31, 28, 81, 80, 27, 02, 07, 97, 23, 95, 98, 12, 25, 75, 29, 47, 71, 07, 47, 78, 39, 41, 59, 27, 76, 13, 15, 66, 61, 68, 35, 69, 86, 16, 53, 67, 63, 99, 85, 41, 56, 8, 28, 33, 40, 94, 76, 90, 85, 31, 70, 24, 65, 84, 65, 99, 82, 19, 25, 54, 37, 21, 46, 33, 02, 52, 99, 51, 33, 26, 04, 87, 02, 8, 18, 96))); - list.add(new ArrayList(Arrays.asList(54, 42, 61, 45, 91, 06, 64, 79, 80, 82, 32, 16, 83, 63, 42, 49, 19, 78, 65, 97, 40, 42, 14, 61, 49, 34, 04, 18, 25, 98, 59, 30, 82, 72, 26, 88, 54, 36, 21, 75, 03, 88, 99, 53, 46, 51, 55, 78, 22, 94, 34, 40, 68, 87, 84, 25, 30, 76, 25, 8, 92, 84, 42, 61, 40, 38, 9, 99, 40, 23, 29, 39, 46, 55, 10, 90, 35, 84, 56, 70, 63, 23, 91, 39))); - list.add(new ArrayList(Arrays.asList(52, 92, 03, 71, 89, 07, 9, 37, 68, 66, 58, 20, 44, 92, 51, 56, 13, 71, 79, 99, 26, 37, 02, 06, 16, 67, 36, 52, 58, 16, 79, 73, 56, 60, 59, 27, 44, 77, 94, 82, 20, 50, 98, 33, 9, 87, 94, 37, 40, 83, 64, 83, 58, 85, 17, 76, 53, 02, 83, 52, 22, 27, 39, 20, 48, 92, 45, 21, 9, 42, 24, 23, 12, 37, 52, 28, 50, 78, 79, 20, 86, 62, 73, 20, 59))); - list.add(new ArrayList(Arrays.asList(54, 96, 80, 15, 91, 90, 99, 70, 10, 9, 58, 90, 93, 50, 81, 99, 54, 38, 36, 10, 30, 11, 35, 84, 16, 45, 82, 18, 11, 97, 36, 43, 96, 79, 97, 65, 40, 48, 23, 19, 17, 31, 64, 52, 65, 65, 37, 32, 65, 76, 99, 79, 34, 65, 79, 27, 55, 33, 03, 01, 33, 27, 61, 28, 66, 8, 04, 70, 49, 46, 48, 83, 01, 45, 19, 96, 13, 81, 14, 21, 31, 79, 93, 85, 50, 05))); - list.add(new ArrayList(Arrays.asList(92, 92, 48, 84, 59, 98, 31, 53, 23, 27, 15, 22, 79, 95, 24, 76, 05, 79, 16, 93, 97, 89, 38, 89, 42, 83, 02, 88, 94, 95, 82, 21, 01, 97, 48, 39, 31, 78, 9, 65, 50, 56, 97, 61, 01, 07, 65, 27, 21, 23, 14, 15, 80, 97, 44, 78, 49, 35, 33, 45, 81, 74, 34, 05, 31, 57, 9, 38, 94, 07, 69, 54, 69, 32, 65, 68, 46, 68, 78, 90, 24, 28, 49, 51, 45, 86, 35))); - list.add(new ArrayList(Arrays.asList(41, 63, 89, 76, 87, 31, 86, 9, 46, 14, 87, 82, 22, 29, 47, 16, 13, 10, 70, 72, 82, 95, 48, 64, 58, 43, 13, 75, 42, 69, 21, 12, 67, 13, 64, 85, 58, 23, 98, 9, 37, 76, 05, 22, 31, 12, 66, 50, 29, 99, 86, 72, 45, 25, 10, 28, 19, 06, 90, 43, 29, 31, 67, 79, 46, 25, 74, 14, 97, 35, 76, 37, 65, 46, 23, 82, 06, 22, 30, 76, 93, 66, 94, 17, 96, 13, 20, 72))); - list.add(new ArrayList(Arrays.asList(63, 40, 78, 8, 52, 9, 90, 41, 70, 28, 36, 14, 46, 44, 85, 96, 24, 52, 58, 15, 87, 37, 05, 98, 99, 39, 13, 61, 76, 38, 44, 99, 83, 74, 90, 22, 53, 80, 56, 98, 30, 51, 63, 39, 44, 30, 91, 91, 04, 22, 27, 73, 17, 35, 53, 18, 35, 45, 54, 56, 27, 78, 48, 13, 69, 36, 44, 38, 71, 25, 30, 56, 15, 22, 73, 43, 32, 69, 59, 25, 93, 83, 45, 11, 34, 94, 44, 39, 92))); - list.add(new ArrayList(Arrays.asList(12, 36, 56, 88, 13, 96, 16, 12, 55, 54, 11, 47, 19, 78, 17, 17, 68, 81, 77, 51, 42, 55, 99, 85, 66, 27, 81, 79, 93, 42, 65, 61, 69, 74, 14, 01, 18, 56, 12, 01, 58, 37, 91, 22, 42, 66, 83, 25, 19, 04, 96, 41, 25, 45, 18, 69, 96, 88, 36, 93, 10, 12, 98, 32, 44, 83, 83, 04, 72, 91, 04, 27, 73, 07, 34, 37, 71, 60, 59, 31, 01, 54, 54, 44, 96, 93, 83, 36, 04, 45))); - list.add(new ArrayList(Arrays.asList(30, 18, 22, 20, 42, 96, 65, 79, 17, 41, 55, 69, 94, 81, 29, 80, 91, 31, 85, 25, 47, 26, 43, 49, 02, 99, 34, 67, 99, 76, 16, 14, 15, 93, 8, 32, 99, 44, 61, 77, 67, 50, 43, 55, 87, 55, 53, 72, 17, 46, 62, 25, 50, 99, 73, 05, 93, 48, 17, 31, 70, 80, 59, 9, 44, 59, 45, 13, 74, 66, 58, 94, 87, 73, 16, 14, 85, 38, 74, 99, 64, 23, 79, 28, 71, 42, 20, 37, 82, 31, 23))); - list.add(new ArrayList(Arrays.asList(51, 96, 39, 65, 46, 71, 56, 13, 29, 68, 53, 86, 45, 33, 51, 49, 12, 91, 21, 21, 76, 85, 02, 17, 98, 15, 46, 12, 60, 21, 88, 30, 92, 83, 44, 59, 42, 50, 27, 88, 46, 86, 94, 73, 45, 54, 23, 24, 14, 10, 94, 21, 20, 34, 23, 51, 04, 83, 99, 75, 90, 63, 60, 16, 22, 33, 83, 70, 11, 32, 10, 50, 29, 30, 83, 46, 11, 05, 31, 17, 86, 42, 49, 01, 44, 63, 28, 60, 07, 78, 95, 40))); - list.add(new ArrayList(Arrays.asList(44, 61, 89, 59, 04, 49, 51, 27, 69, 71, 46, 76, 44, 04, 9, 34, 56, 39, 15, 06, 94, 91, 75, 90, 65, 27, 56, 23, 74, 06, 23, 33, 36, 69, 14, 39, 05, 34, 35, 57, 33, 22, 76, 46, 56, 10, 61, 65, 98, 9, 16, 69, 04, 62, 65, 18, 99, 76, 49, 18, 72, 66, 73, 83, 82, 40, 76, 31, 89, 91, 27, 88, 17, 35, 41, 35, 32, 51, 32, 67, 52, 68, 74, 85, 80, 57, 07, 11, 62, 66, 47, 22, 67))); - list.add(new ArrayList(Arrays.asList(65, 37, 19, 97, 26, 17, 16, 24, 24, 17, 50, 37, 64, 82, 24, 36, 32, 11, 68, 34, 69, 31, 32, 89, 79, 93, 96, 68, 49, 90, 14, 23, 04, 04, 67, 99, 81, 74, 70, 74, 36, 96, 68, 9, 64, 39, 88, 35, 54, 89, 96, 58, 66, 27, 88, 97, 32, 14, 06, 35, 78, 20, 71, 06, 85, 66, 57, 02, 58, 91, 72, 05, 29, 56, 73, 48, 86, 52, 9, 93, 22, 57, 79, 42, 12, 01, 31, 68, 17, 59, 63, 76, 07, 77))); - list.add(new ArrayList(Arrays.asList(73, 81, 14, 13, 17, 20, 11, 9, 01, 83, 8, 85, 91, 70, 84, 63, 62, 77, 37, 07, 47, 01, 59, 95, 39, 69, 39, 21, 99, 9, 87, 02, 97, 16, 92, 36, 74, 71, 90, 66, 33, 73, 73, 75, 52, 91, 11, 12, 26, 53, 05, 26, 26, 48, 61, 50, 90, 65, 01, 87, 42, 47, 74, 35, 22, 73, 24, 26, 56, 70, 52, 05, 48, 41, 31, 18, 83, 27, 21, 39, 80, 85, 26, 8, 44, 02, 71, 07, 63, 22, 05, 52, 19, 8, 20))); - list.add(new ArrayList(Arrays.asList(17, 25, 21, 11, 72, 93, 33, 49, 64, 23, 53, 82, 03, 13, 91, 65, 85, 02, 40, 05, 42, 31, 77, 42, 05, 36, 06, 54, 04, 58, 07, 76, 87, 83, 25, 57, 66, 12, 74, 33, 85, 37, 74, 32, 20, 69, 03, 97, 91, 68, 82, 44, 19, 14, 89, 28, 85, 85, 80, 53, 34, 87, 58, 98, 88, 78, 48, 65, 98, 40, 11, 57, 10, 67, 70, 81, 60, 79, 74, 72, 97, 59, 79, 47, 30, 20, 54, 80, 89, 91, 14, 05, 33, 36, 79, 39))); - list.add(new ArrayList(Arrays.asList(60, 85, 59, 39, 60, 07, 57, 76, 77, 92, 06, 35, 15, 72, 23, 41, 45, 52, 95, 18, 64, 79, 86, 53, 56, 31, 69, 11, 91, 31, 84, 50, 44, 82, 22, 81, 41, 40, 30, 42, 30, 91, 48, 94, 74, 76, 64, 58, 74, 25, 96, 57, 14, 19, 03, 99, 28, 83, 15, 75, 99, 01, 89, 85, 79, 50, 03, 95, 32, 67, 44, 8, 07, 41, 62, 64, 29, 20, 14, 76, 26, 55, 48, 71, 69, 66, 19, 72, 44, 25, 14, 01, 48, 74, 12, 98, 07))); - list.add(new ArrayList(Arrays.asList(64, 66, 84, 24, 18, 16, 27, 48, 20, 14, 47, 69, 30, 86, 48, 40, 23, 16, 61, 21, 51, 50, 26, 47, 35, 33, 91, 28, 78, 64, 43, 68, 04, 79, 51, 8, 19, 60, 52, 95, 06, 68, 46, 86, 35, 97, 27, 58, 04, 65, 30, 58, 99, 12, 12, 75, 91, 39, 50, 31, 42, 64, 70, 04, 46, 07, 98, 73, 98, 93, 37, 89, 77, 91, 64, 71, 64, 65, 66, 21, 78, 62, 81, 74, 42, 20, 83, 70, 73, 95, 78, 45, 92, 27, 34, 53, 71, 15))); - list.add(new ArrayList(Arrays.asList(30, 11, 85, 31, 34, 71, 13, 48, 05, 14, 44, 03, 19, 67, 23, 73, 19, 57, 06, 90, 94, 72, 57, 69, 81, 62, 59, 68, 88, 57, 55, 69, 49, 13, 07, 87, 97, 80, 89, 05, 71, 05, 05, 26, 38, 40, 16, 62, 45, 99, 18, 38, 98, 24, 21, 26, 62, 74, 69, 04, 85, 57, 77, 35, 58, 67, 91, 79, 79, 57, 86, 28, 66, 34, 72, 51, 76, 78, 36, 95, 63, 90, 8, 78, 47, 63, 45, 31, 22, 70, 52, 48, 79, 94, 15, 77, 61, 67, 68))); - list.add(new ArrayList(Arrays.asList(23, 33, 44, 81, 80, 92, 93, 75, 94, 88, 23, 61, 39, 76, 22, 03, 28, 94, 32, 06, 49, 65, 41, 34, 18, 23, 8, 47, 62, 60, 03, 63, 33, 13, 80, 52, 31, 54, 73, 43, 70, 26, 16, 69, 57, 87, 83, 31, 03, 93, 70, 81, 47, 95, 77, 44, 29, 68, 39, 51, 56, 59, 63, 07, 25, 70, 07, 77, 43, 53, 64, 03, 94, 42, 95, 39, 18, 01, 66, 21, 16, 97, 20, 50, 90, 16, 70, 10, 95, 69, 29, 06, 25, 61, 41, 26, 15, 59, 63, 35))); - } - //Solve the problem - public void solve(){ - //If the problem has already been solved do nothing and end the function - if(solved){ - return; - } - - //Setup the list you are trying to find a path through - setupList(); - - //Start the timer - timer.start(); - - //Invert the list - invert(list); - - //For the points that I have already found the shortest distance to - ArrayList foundPoints = new ArrayList(); - //Add the first row as a found point because you have to go through the tip - foundPoints.add(new location(0, 0, list.get(0).get(0), false)); - //For the locations you are checking this round - ArrayList possiblePoints = new ArrayList(); - - //Add the second row as possible points - possiblePoints.add(new location(0, 1, (list.get(0).get(0) + list.get(1).get(0)), true)); - possiblePoints.add(new location(1, 1, (list.get(0).get(0) + list.get(1).get(1)), false)); - boolean foundBottom = false; //Used when you find a point at the bottom of the list - - //Loop until you find the bottom of the list - while(!foundBottom){ - //Check which possible point gives us the lowest number. If more than one has the same number simply keep the first one - location minLoc = possiblePoints.get(0); - for(location loc : possiblePoints){ - if(loc.total < minLoc.total){ - minLoc = loc; - } - } - - //Remove it from the list of possible points - removeHelper(possiblePoints, minLoc); - - //Add that point to the list of found points - foundPoints.add(minLoc); - - //Add to the list of possible points from the point we just found and - //If you are at the bottom raise the flag to end the program - int xLoc = minLoc.xLocation; - int yLoc = minLoc.yLocation + 1; //Add one because you will always be moving to the next row - if(yLoc >= NUM_ROWS){ - foundBottom = true; - } - else{ - possiblePoints.add(new location(xLoc, yLoc, minLoc.total + list.get(yLoc).get(xLoc), true)); - ++xLoc; //Advance the x location to simulate going right - //Check if x is out of bounds - if(xLoc < list.get(yLoc).size()){ - possiblePoints.add(new location(xLoc, yLoc, minLoc.total + list.get(yLoc).get(xLoc), false)); - } - } - } - - //Stop the timer - timer.stop(); - - //Get the correct total which will be the inversion of the current one - int actualTotal = ((100 * NUM_ROWS) - foundPoints.get(foundPoints.size() - 1).total); - //Save the results - result = "The value of the longest path is " + actualTotal; - - //Throw a flag to show the problem is solved - solved = true; - } - //Reset the problem so it can be run again - public void reset(){ - super.reset(); - list.clear(); - foundPoints.clear(); - possiblePoints.clear(); - actualTotal = 0; - } - //Gets - //Returns the pyramid that was traversed as a string - public String getPyramid(){ - //If the problem hasn't been solved throw an exception - if(!solved){ - throw new Unsolved(); - } - - StringBuilder results = new StringBuilder(); - //Loop through all elements of the list and print them - for(ArrayList row : list){ - for(int column : row){ - results.append(String.format("%2d ", column)); - } - results.append('\n'); - } - return results.toString(); - } - //Returns the trail the algorithm took as a string - public String getTrail(){ - //If the problem hasn't been solved throw an exception - if(!solved){ - throw new Unsolved(); - } - - StringBuilder results = new StringBuilder(); - //TODO: Implement this - results.append("This has not yet been implemented"); - return results.toString(); - } - //Returns the total that was asked for - public int getTotal(){ - //If the problem hasn't been solved throw an exception - if(!solved){ - throw new Unsolved(); - } - return actualTotal; + static{ + list = new ArrayList>( + Arrays.asList( + new ArrayList(Arrays.asList(59)), + new ArrayList(Arrays.asList(73, 41)), + new ArrayList(Arrays.asList(52, 40, 9)), + new ArrayList(Arrays.asList(26, 53, 06, 34)), + new ArrayList(Arrays.asList(10, 51, 87, 86, 81)), + new ArrayList(Arrays.asList(61, 95, 66, 57, 25, 68)), + new ArrayList(Arrays.asList(90, 81, 80, 38, 92, 67, 73)), + new ArrayList(Arrays.asList(30, 28, 51, 76, 81, 18, 75, 44)), + new ArrayList(Arrays.asList(84, 14, 95, 87, 62, 81, 17, 78, 58)), + new ArrayList(Arrays.asList(21, 46, 71, 58, 02, 79, 62, 39, 31, 9)), + new ArrayList(Arrays.asList(56, 34, 35, 53, 78, 31, 81, 18, 90, 93, 15)), + new ArrayList(Arrays.asList(78, 53, 04, 21, 84, 93, 32, 13, 97, 11, 37, 51)), + new ArrayList(Arrays.asList(45, 03, 81, 79, 05, 18, 78, 86, 13, 30, 63, 99, 95)), + new ArrayList(Arrays.asList(39, 87, 96, 28, 03, 38, 42, 17, 82, 87, 58, 07, 22, 57)), + new ArrayList(Arrays.asList(06, 17, 51, 17, 07, 93, 9, 07, 75, 97, 95, 78, 87, 8, 53)), + new ArrayList(Arrays.asList(67, 66, 59, 60, 88, 99, 94, 65, 55, 77, 55, 34, 27, 53, 78, 28)), + new ArrayList(Arrays.asList(76, 40, 41, 04, 87, 16, 9, 42, 75, 69, 23, 97, 30, 60, 10, 79, 87)), + new ArrayList(Arrays.asList(12, 10, 44, 26, 21, 36, 32, 84, 98, 60, 13, 12, 36, 16, 63, 31, 91, 35)), + new ArrayList(Arrays.asList(70, 39, 06, 05, 55, 27, 38, 48, 28, 22, 34, 35, 62, 62, 15, 14, 94, 89, 86)), + new ArrayList(Arrays.asList(66, 56, 68, 84, 96, 21, 34, 34, 34, 81, 62, 40, 65, 54, 62, 05, 98, 03, 02, 60)), + new ArrayList(Arrays.asList(38, 89, 46, 37, 99, 54, 34, 53, 36, 14, 70, 26, 02, 90, 45, 13, 31, 61, 83, 73, 47)), + new ArrayList(Arrays.asList(36, 10, 63, 96, 60, 49, 41, 05, 37, 42, 14, 58, 84, 93, 96, 17, 9, 43, 05, 43, 06, 59)), + new ArrayList(Arrays.asList(66, 57, 87, 57, 61, 28, 37, 51, 84, 73, 79, 15, 39, 95, 88, 87, 43, 39, 11, 86, 77, 74, 18)), + new ArrayList(Arrays.asList(54, 42, 05, 79, 30, 49, 99, 73, 46, 37, 50, 02, 45, 9, 54, 52, 27, 95, 27, 65, 19, 45, 26, 45)), + new ArrayList(Arrays.asList(71, 39, 17, 78, 76, 29, 52, 90, 18, 99, 78, 19, 35, 62, 71, 19, 23, 65, 93, 85, 49, 33, 75, 9, 02)), + new ArrayList(Arrays.asList(33, 24, 47, 61, 60, 55, 32, 88, 57, 55, 91, 54, 46, 57, 07, 77, 98, 52, 80, 99, 24, 25, 46, 78, 79, 05)), + new ArrayList(Arrays.asList(92, 9, 13, 55, 10, 67, 26, 78, 76, 82, 63, 49, 51, 31, 24, 68, 05, 57, 07, 54, 69, 21, 67, 43, 17, 63, 12)), + new ArrayList(Arrays.asList(24, 59, 06, 8, 98, 74, 66, 26, 61, 60, 13, 03, 9, 9, 24, 30, 71, 8, 88, 70, 72, 70, 29, 90, 11, 82, 41, 34)), + new ArrayList(Arrays.asList(66, 82, 67, 04, 36, 60, 92, 77, 91, 85, 62, 49, 59, 61, 30, 90, 29, 94, 26, 41, 89, 04, 53, 22, 83, 41, 9, 74, 90)), + new ArrayList(Arrays.asList(48, 28, 26, 37, 28, 52, 77, 26, 51, 32, 18, 98, 79, 36, 62, 13, 17, 8, 19, 54, 89, 29, 73, 68, 42, 14, 8, 16, 70, 37)), + new ArrayList(Arrays.asList(37, 60, 69, 70, 72, 71, 9, 59, 13, 60, 38, 13, 57, 36, 9, 30, 43, 89, 30, 39, 15, 02, 44, 73, 05, 73, 26, 63, 56, 86, 12)), + new ArrayList(Arrays.asList(55, 55, 85, 50, 62, 99, 84, 77, 28, 85, 03, 21, 27, 22, 19, 26, 82, 69, 54, 04, 13, 07, 85, 14, 01, 15, 70, 59, 89, 95, 10, 19)), + new ArrayList(Arrays.asList(04, 9, 31, 92, 91, 38, 92, 86, 98, 75, 21, 05, 64, 42, 62, 84, 36, 20, 73, 42, 21, 23, 22, 51, 51, 79, 25, 45, 85, 53, 03, 43, 22)), + new ArrayList(Arrays.asList(75, 63, 02, 49, 14, 12, 89, 14, 60, 78, 92, 16, 44, 82, 38, 30, 72, 11, 46, 52, 90, 27, 8, 65, 78, 03, 85, 41, 57, 79, 39, 52, 33, 48)), + new ArrayList(Arrays.asList(78, 27, 56, 56, 39, 13, 19, 43, 86, 72, 58, 95, 39, 07, 04, 34, 21, 98, 39, 15, 39, 84, 89, 69, 84, 46, 37, 57, 59, 35, 59, 50, 26, 15, 93)), + new ArrayList(Arrays.asList(42, 89, 36, 27, 78, 91, 24, 11, 17, 41, 05, 94, 07, 69, 51, 96, 03, 96, 47, 90, 90, 45, 91, 20, 50, 56, 10, 32, 36, 49, 04, 53, 85, 92, 25, 65)), + new ArrayList(Arrays.asList(52, 9, 61, 30, 61, 97, 66, 21, 96, 92, 98, 90, 06, 34, 96, 60, 32, 69, 68, 33, 75, 84, 18, 31, 71, 50, 84, 63, 03, 03, 19, 11, 28, 42, 75, 45, 45)), + new ArrayList(Arrays.asList(61, 31, 61, 68, 96, 34, 49, 39, 05, 71, 76, 59, 62, 67, 06, 47, 96, 99, 34, 21, 32, 47, 52, 07, 71, 60, 42, 72, 94, 56, 82, 83, 84, 40, 94, 87, 82, 46)), + new ArrayList(Arrays.asList(01, 20, 60, 14, 17, 38, 26, 78, 66, 81, 45, 95, 18, 51, 98, 81, 48, 16, 53, 88, 37, 52, 69, 95, 72, 93, 22, 34, 98, 20, 54, 27, 73, 61, 56, 63, 60, 34, 63)), + new ArrayList(Arrays.asList(93, 42, 94, 83, 47, 61, 27, 51, 79, 79, 45, 01, 44, 73, 31, 70, 83, 42, 88, 25, 53, 51, 30, 15, 65, 94, 80, 44, 61, 84, 12, 77, 02, 62, 02, 65, 94, 42, 14, 94)), + new ArrayList(Arrays.asList(32, 73, 9, 67, 68, 29, 74, 98, 10, 19, 85, 48, 38, 31, 85, 67, 53, 93, 93, 77, 47, 67, 39, 72, 94, 53, 18, 43, 77, 40, 78, 32, 29, 59, 24, 06, 02, 83, 50, 60, 66)), + new ArrayList(Arrays.asList(32, 01, 44, 30, 16, 51, 15, 81, 98, 15, 10, 62, 86, 79, 50, 62, 45, 60, 70, 38, 31, 85, 65, 61, 64, 06, 69, 84, 14, 22, 56, 43, 9, 48, 66, 69, 83, 91, 60, 40, 36, 61)), + new ArrayList(Arrays.asList(92, 48, 22, 99, 15, 95, 64, 43, 01, 16, 94, 02, 99, 19, 17, 69, 11, 58, 97, 56, 89, 31, 77, 45, 67, 96, 12, 73, 8, 20, 36, 47, 81, 44, 50, 64, 68, 85, 40, 81, 85, 52, 9)), + new ArrayList(Arrays.asList(91, 35, 92, 45, 32, 84, 62, 15, 19, 64, 21, 66, 06, 01, 52, 80, 62, 59, 12, 25, 88, 28, 91, 50, 40, 16, 22, 99, 92, 79, 87, 51, 21, 77, 74, 77, 07, 42, 38, 42, 74, 83, 02, 05)), + new ArrayList(Arrays.asList(46, 19, 77, 66, 24, 18, 05, 32, 02, 84, 31, 99, 92, 58, 96, 72, 91, 36, 62, 99, 55, 29, 53, 42, 12, 37, 26, 58, 89, 50, 66, 19, 82, 75, 12, 48, 24, 87, 91, 85, 02, 07, 03, 76, 86)), + new ArrayList(Arrays.asList(99, 98, 84, 93, 07, 17, 33, 61, 92, 20, 66, 60, 24, 66, 40, 30, 67, 05, 37, 29, 24, 96, 03, 27, 70, 62, 13, 04, 45, 47, 59, 88, 43, 20, 66, 15, 46, 92, 30, 04, 71, 66, 78, 70, 53, 99)), + new ArrayList(Arrays.asList(67, 60, 38, 06, 88, 04, 17, 72, 10, 99, 71, 07, 42, 25, 54, 05, 26, 64, 91, 50, 45, 71, 06, 30, 67, 48, 69, 82, 8, 56, 80, 67, 18, 46, 66, 63, 01, 20, 8, 80, 47, 07, 91, 16, 03, 79, 87)), + new ArrayList(Arrays.asList(18, 54, 78, 49, 80, 48, 77, 40, 68, 23, 60, 88, 58, 80, 33, 57, 11, 69, 55, 53, 64, 02, 94, 49, 60, 92, 16, 35, 81, 21, 82, 96, 25, 24, 96, 18, 02, 05, 49, 03, 50, 77, 06, 32, 84, 27, 18, 38)), + new ArrayList(Arrays.asList(68, 01, 50, 04, 03, 21, 42, 94, 53, 24, 89, 05, 92, 26, 52, 36, 68, 11, 85, 01, 04, 42, 02, 45, 15, 06, 50, 04, 53, 73, 25, 74, 81, 88, 98, 21, 67, 84, 79, 97, 99, 20, 95, 04, 40, 46, 02, 58, 87)), + new ArrayList(Arrays.asList(94, 10, 02, 78, 88, 52, 21, 03, 88, 60, 06, 53, 49, 71, 20, 91, 12, 65, 07, 49, 21, 22, 11, 41, 58, 99, 36, 16, 9, 48, 17, 24, 52, 36, 23, 15, 72, 16, 84, 56, 02, 99, 43, 76, 81, 71, 29, 39, 49, 17)), + new ArrayList(Arrays.asList(64, 39, 59, 84, 86, 16, 17, 66, 03, 9, 43, 06, 64, 18, 63, 29, 68, 06, 23, 07, 87, 14, 26, 35, 17, 12, 98, 41, 53, 64, 78, 18, 98, 27, 28, 84, 80, 67, 75, 62, 10, 11, 76, 90, 54, 10, 05, 54, 41, 39, 66)), + new ArrayList(Arrays.asList(43, 83, 18, 37, 32, 31, 52, 29, 95, 47, 8, 76, 35, 11, 04, 53, 35, 43, 34, 10, 52, 57, 12, 36, 20, 39, 40, 55, 78, 44, 07, 31, 38, 26, 8, 15, 56, 88, 86, 01, 52, 62, 10, 24, 32, 05, 60, 65, 53, 28, 57, 99)), + new ArrayList(Arrays.asList(03, 50, 03, 52, 07, 73, 49, 92, 66, 80, 01, 46, 8, 67, 25, 36, 73, 93, 07, 42, 25, 53, 13, 96, 76, 83, 87, 90, 54, 89, 78, 22, 78, 91, 73, 51, 69, 9, 79, 94, 83, 53, 9, 40, 69, 62, 10, 79, 49, 47, 03, 81, 30)), + new ArrayList(Arrays.asList(71, 54, 73, 33, 51, 76, 59, 54, 79, 37, 56, 45, 84, 17, 62, 21, 98, 69, 41, 95, 65, 24, 39, 37, 62, 03, 24, 48, 54, 64, 46, 82, 71, 78, 33, 67, 9, 16, 96, 68, 52, 74, 79, 68, 32, 21, 13, 78, 96, 60, 9, 69, 20, 36)), + new ArrayList(Arrays.asList(73, 26, 21, 44, 46, 38, 17, 83, 65, 98, 07, 23, 52, 46, 61, 97, 33, 13, 60, 31, 70, 15, 36, 77, 31, 58, 56, 93, 75, 68, 21, 36, 69, 53, 90, 75, 25, 82, 39, 50, 65, 94, 29, 30, 11, 33, 11, 13, 96, 02, 56, 47, 07, 49, 02)), + new ArrayList(Arrays.asList(76, 46, 73, 30, 10, 20, 60, 70, 14, 56, 34, 26, 37, 39, 48, 24, 55, 76, 84, 91, 39, 86, 95, 61, 50, 14, 53, 93, 64, 67, 37, 31, 10, 84, 42, 70, 48, 20, 10, 72, 60, 61, 84, 79, 69, 65, 99, 73, 89, 25, 85, 48, 92, 56, 97, 16)), + new ArrayList(Arrays.asList(03, 14, 80, 27, 22, 30, 44, 27, 67, 75, 79, 32, 51, 54, 81, 29, 65, 14, 19, 04, 13, 82, 04, 91, 43, 40, 12, 52, 29, 99, 07, 76, 60, 25, 01, 07, 61, 71, 37, 92, 40, 47, 99, 66, 57, 01, 43, 44, 22, 40, 53, 53, 9, 69, 26, 81, 07)), + new ArrayList(Arrays.asList(49, 80, 56, 90, 93, 87, 47, 13, 75, 28, 87, 23, 72, 79, 32, 18, 27, 20, 28, 10, 37, 59, 21, 18, 70, 04, 79, 96, 03, 31, 45, 71, 81, 06, 14, 18, 17, 05, 31, 50, 92, 79, 23, 47, 9, 39, 47, 91, 43, 54, 69, 47, 42, 95, 62, 46, 32, 85)), + new ArrayList(Arrays.asList(37, 18, 62, 85, 87, 28, 64, 05, 77, 51, 47, 26, 30, 65, 05, 70, 65, 75, 59, 80, 42, 52, 25, 20, 44, 10, 92, 17, 71, 95, 52, 14, 77, 13, 24, 55, 11, 65, 26, 91, 01, 30, 63, 15, 49, 48, 41, 17, 67, 47, 03, 68, 20, 90, 98, 32, 04, 40, 68)), + new ArrayList(Arrays.asList(90, 51, 58, 60, 06, 55, 23, 68, 05, 19, 76, 94, 82, 36, 96, 43, 38, 90, 87, 28, 33, 83, 05, 17, 70, 83, 96, 93, 06, 04, 78, 47, 80, 06, 23, 84, 75, 23, 87, 72, 99, 14, 50, 98, 92, 38, 90, 64, 61, 58, 76, 94, 36, 66, 87, 80, 51, 35, 61, 38)), + new ArrayList(Arrays.asList(57, 95, 64, 06, 53, 36, 82, 51, 40, 33, 47, 14, 07, 98, 78, 65, 39, 58, 53, 06, 50, 53, 04, 69, 40, 68, 36, 69, 75, 78, 75, 60, 03, 32, 39, 24, 74, 47, 26, 90, 13, 40, 44, 71, 90, 76, 51, 24, 36, 50, 25, 45, 70, 80, 61, 80, 61, 43, 90, 64, 11)), + new ArrayList(Arrays.asList(18, 29, 86, 56, 68, 42, 79, 10, 42, 44, 30, 12, 96, 18, 23, 18, 52, 59, 02, 99, 67, 46, 60, 86, 43, 38, 55, 17, 44, 93, 42, 21, 55, 14, 47, 34, 55, 16, 49, 24, 23, 29, 96, 51, 55, 10, 46, 53, 27, 92, 27, 46, 63, 57, 30, 65, 43, 27, 21, 20, 24, 83)), + new ArrayList(Arrays.asList(81, 72, 93, 19, 69, 52, 48, 01, 13, 83, 92, 69, 20, 48, 69, 59, 20, 62, 05, 42, 28, 89, 90, 99, 32, 72, 84, 17, 8, 87, 36, 03, 60, 31, 36, 36, 81, 26, 97, 36, 48, 54, 56, 56, 27, 16, 91, 8, 23, 11, 87, 99, 33, 47, 02, 14, 44, 73, 70, 99, 43, 35, 33)), + new ArrayList(Arrays.asList(90, 56, 61, 86, 56, 12, 70, 59, 63, 32, 01, 15, 81, 47, 71, 76, 95, 32, 65, 80, 54, 70, 34, 51, 40, 45, 33, 04, 64, 55, 78, 68, 88, 47, 31, 47, 68, 87, 03, 84, 23, 44, 89, 72, 35, 8, 31, 76, 63, 26, 90, 85, 96, 67, 65, 91, 19, 14, 17, 86, 04, 71, 32, 95)), + new ArrayList(Arrays.asList(37, 13, 04, 22, 64, 37, 37, 28, 56, 62, 86, 33, 07, 37, 10, 44, 52, 82, 52, 06, 19, 52, 57, 75, 90, 26, 91, 24, 06, 21, 14, 67, 76, 30, 46, 14, 35, 89, 89, 41, 03, 64, 56, 97, 87, 63, 22, 34, 03, 79, 17, 45, 11, 53, 25, 56, 96, 61, 23, 18, 63, 31, 37, 37, 47)), + new ArrayList(Arrays.asList(77, 23, 26, 70, 72, 76, 77, 04, 28, 64, 71, 69, 14, 85, 96, 54, 95, 48, 06, 62, 99, 83, 86, 77, 97, 75, 71, 66, 30, 19, 57, 90, 33, 01, 60, 61, 14, 12, 90, 99, 32, 77, 56, 41, 18, 14, 87, 49, 10, 14, 90, 64, 18, 50, 21, 74, 14, 16, 88, 05, 45, 73, 82, 47, 74, 44)), + new ArrayList(Arrays.asList(22, 97, 41, 13, 34, 31, 54, 61, 56, 94, 03, 24, 59, 27, 98, 77, 04, 9, 37, 40, 12, 26, 87, 9, 71, 70, 07, 18, 64, 57, 80, 21, 12, 71, 83, 94, 60, 39, 73, 79, 73, 19, 97, 32, 64, 29, 41, 07, 48, 84, 85, 67, 12, 74, 95, 20, 24, 52, 41, 67, 56, 61, 29, 93, 35, 72, 69)), + new ArrayList(Arrays.asList(72, 23, 63, 66, 01, 11, 07, 30, 52, 56, 95, 16, 65, 26, 83, 90, 50, 74, 60, 18, 16, 48, 43, 77, 37, 11, 99, 98, 30, 94, 91, 26, 62, 73, 45, 12, 87, 73, 47, 27, 01, 88, 66, 99, 21, 41, 95, 80, 02, 53, 23, 32, 61, 48, 32, 43, 43, 83, 14, 66, 95, 91, 19, 81, 80, 67, 25, 88)), + new ArrayList(Arrays.asList( 8, 62, 32, 18, 92, 14, 83, 71, 37, 96, 11, 83, 39, 99, 05, 16, 23, 27, 10, 67, 02, 25, 44, 11, 55, 31, 46, 64, 41, 56, 44, 74, 26, 81, 51, 31, 45, 85, 87, 9, 81, 95, 22, 28, 76, 69, 46, 48, 64, 87, 67, 76, 27, 89, 31, 11, 74, 16, 62, 03, 60, 94, 42, 47, 9, 34, 94, 93, 72)), + new ArrayList(Arrays.asList(56, 18, 90, 18, 42, 17, 42, 32, 14, 86, 06, 53, 33, 95, 99, 35, 29, 15, 44, 20, 49, 59, 25, 54, 34, 59, 84, 21, 23, 54, 35, 90, 78, 16, 93, 13, 37, 88, 54, 19, 86, 67, 68, 55, 66, 84, 65, 42, 98, 37, 87, 56, 33, 28, 58, 38, 28, 38, 66, 27, 52, 21, 81, 15, 8, 22, 97, 32, 85, 27)), + new ArrayList(Arrays.asList(91, 53, 40, 28, 13, 34, 91, 25, 01, 63, 50, 37, 22, 49, 71, 58, 32, 28, 30, 18, 68, 94, 23, 83, 63, 62, 94, 76, 80, 41, 90, 22, 82, 52, 29, 12, 18, 56, 10, 8, 35, 14, 37, 57, 23, 65, 67, 40, 72, 39, 93, 39, 70, 89, 40, 34, 07, 46, 94, 22, 20, 05, 53, 64, 56, 30, 05, 56, 61, 88, 27)), + new ArrayList(Arrays.asList(23, 95, 11, 12, 37, 69, 68, 24, 66, 10, 87, 70, 43, 50, 75, 07, 62, 41, 83, 58, 95, 93, 89, 79, 45, 39, 02, 22, 05, 22, 95, 43, 62, 11, 68, 29, 17, 40, 26, 44, 25, 71, 87, 16, 70, 85, 19, 25, 59, 94, 90, 41, 41, 80, 61, 70, 55, 60, 84, 33, 95, 76, 42, 63, 15, 9, 03, 40, 38, 12, 03, 32)), + new ArrayList(Arrays.asList( 9, 84, 56, 80, 61, 55, 85, 97, 16, 94, 82, 94, 98, 57, 84, 30, 84, 48, 93, 90, 71, 05, 95, 90, 73, 17, 30, 98, 40, 64, 65, 89, 07, 79, 9, 19, 56, 36, 42, 30, 23, 69, 73, 72, 07, 05, 27, 61, 24, 31, 43, 48, 71, 84, 21, 28, 26, 65, 65, 59, 65, 74, 77, 20, 10, 81, 61, 84, 95, 8, 52, 23, 70)), + new ArrayList(Arrays.asList(47, 81, 28, 9, 98, 51, 67, 64, 35, 51, 59, 36, 92, 82, 77, 65, 80, 24, 72, 53, 22, 07, 27, 10, 21, 28, 30, 22, 48, 82, 80, 48, 56, 20, 14, 43, 18, 25, 50, 95, 90, 31, 77, 8, 9, 48, 44, 80, 90, 22, 93, 45, 82, 17, 13, 96, 25, 26, 8, 73, 34, 99, 06, 49, 24, 06, 83, 51, 40, 14, 15, 10, 25, 01)), + new ArrayList(Arrays.asList(54, 25, 10, 81, 30, 64, 24, 74, 75, 80, 36, 75, 82, 60, 22, 69, 72, 91, 45, 67, 03, 62, 79, 54, 89, 74, 44, 83, 64, 96, 66, 73, 44, 30, 74, 50, 37, 05, 9, 97, 70, 01, 60, 46, 37, 91, 39, 75, 75, 18, 58, 52, 72, 78, 51, 81, 86, 52, 8, 97, 01, 46, 43, 66, 98, 62, 81, 18, 70, 93, 73, 8, 32, 46, 34)), + new ArrayList(Arrays.asList(96, 80, 82, 07, 59, 71, 92, 53, 19, 20, 88, 66, 03, 26, 26, 10, 24, 27, 50, 82, 94, 73, 63, 8, 51, 33, 22, 45, 19, 13, 58, 33, 90, 15, 22, 50, 36, 13, 55, 06, 35, 47, 82, 52, 33, 61, 36, 27, 28, 46, 98, 14, 73, 20, 73, 32, 16, 26, 80, 53, 47, 66, 76, 38, 94, 45, 02, 01, 22, 52, 47, 96, 64, 58, 52, 39)), + new ArrayList(Arrays.asList(88, 46, 23, 39, 74, 63, 81, 64, 20, 90, 33, 33, 76, 55, 58, 26, 10, 46, 42, 26, 74, 74, 12, 83, 32, 43, 9, 02, 73, 55, 86, 54, 85, 34, 28, 23, 29, 79, 91, 62, 47, 41, 82, 87, 99, 22, 48, 90, 20, 05, 96, 75, 95, 04, 43, 28, 81, 39, 81, 01, 28, 42, 78, 25, 39, 77, 90, 57, 58, 98, 17, 36, 73, 22, 63, 74, 51)), + new ArrayList(Arrays.asList(29, 39, 74, 94, 95, 78, 64, 24, 38, 86, 63, 87, 93, 06, 70, 92, 22, 16, 80, 64, 29, 52, 20, 27, 23, 50, 14, 13, 87, 15, 72, 96, 81, 22, 8, 49, 72, 30, 70, 24, 79, 31, 16, 64, 59, 21, 89, 34, 96, 91, 48, 76, 43, 53, 88, 01, 57, 80, 23, 81, 90, 79, 58, 01, 80, 87, 17, 99, 86, 90, 72, 63, 32, 69, 14, 28, 88, 69)), + new ArrayList(Arrays.asList(37, 17, 71, 95, 56, 93, 71, 35, 43, 45, 04, 98, 92, 94, 84, 96, 11, 30, 31, 27, 31, 60, 92, 03, 48, 05, 98, 91, 86, 94, 35, 90, 90, 8, 48, 19, 33, 28, 68, 37, 59, 26, 65, 96, 50, 68, 22, 07, 9, 49, 34, 31, 77, 49, 43, 06, 75, 17, 81, 87, 61, 79, 52, 26, 27, 72, 29, 50, 07, 98, 86, 01, 17, 10, 46, 64, 24, 18, 56)), + new ArrayList(Arrays.asList(51, 30, 25, 94, 88, 85, 79, 91, 40, 33, 63, 84, 49, 67, 98, 92, 15, 26, 75, 19, 82, 05, 18, 78, 65, 93, 61, 48, 91, 43, 59, 41, 70, 51, 22, 15, 92, 81, 67, 91, 46, 98, 11, 11, 65, 31, 66, 10, 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