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Complete day 4

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Mattrixwv
2024-12-10 18:37:44 -05:00
parent 9b1f7f38d2
commit a316286546
4 changed files with 438 additions and 1 deletions
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6
src/main/java/com/mattrixwv/adventOfCode24/ProblemSelector.java
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@@ -13,12 +13,14 @@ import com.mattrixwv.adventOfCode24.days.Problem3;
import com.mattrixwv.adventOfCode24.days.Problem4; import com.mattrixwv.adventOfCode24.days.Problem4;
import com.mattrixwv.adventOfCode24.days.Problem5; import com.mattrixwv.adventOfCode24.days.Problem5;
import com.mattrixwv.adventOfCode24.days.Problem6; import com.mattrixwv.adventOfCode24.days.Problem6;
import com.mattrixwv.adventOfCode24.days.Problem7;
import com.mattrixwv.adventOfCode24.days.Problem8;
public class ProblemSelector{ public class ProblemSelector{
private static final Scanner input = new Scanner(System.in); private static final Scanner input = new Scanner(System.in);
//Holds the valid problem numbers //Holds the valid problem numbers
protected static final List<Integer> PROBLEM_NUMBERS = List.of(0, 1, 2, 3, 4, 5, 6); protected static final List<Integer> PROBLEM_NUMBERS = List.of(0, 1, 2, 3, 4, 5, 6, 7, 8);
private ProblemSelector(){ private ProblemSelector(){
@@ -36,6 +38,8 @@ public class ProblemSelector{
case 4 : day = new Problem4(); break; case 4 : day = new Problem4(); break;
case 5 : day = new Problem5(); break; case 5 : day = new Problem5(); break;
case 6 : day = new Problem6(); break; case 6 : day = new Problem6(); break;
case 7 : day = new Problem7(); break;
case 8 : day = new Problem8(); break;
default: throw new InvalidParameterException(); default: throw new InvalidParameterException();
} }
return day; return day;

194
src/main/java/com/mattrixwv/adventOfCode24/days/Problem7.java Normal file
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@@ -0,0 +1,194 @@
package com.mattrixwv.adventOfCode24.days;
import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;
import com.mattrixwv.Stopwatch;
public class Problem7 extends Problem{
private static final String inputFileName = "days/Problem7.txt";
private List<String> wordSearchGrid;
public Problem7(){
super();
description = "Find how many times the word XMAS appears in the grid.";
result = "Unresolved";
}
public String runSolution(){
Stopwatch timer = new Stopwatch();
timer.start();
wordSearchGrid = new ArrayList<>();
int xmasCount = 0;
//Read the file
try(Scanner scanner = new Scanner(this.getClass().getClassLoader().getResourceAsStream(inputFileName))){
scanner.useDelimiter("\n");
while(scanner.hasNext()){
wordSearchGrid.add(scanner.next());
}
}
//Step through each character and find any instances of the word XMAS
for(int rowNum = 0;rowNum < wordSearchGrid.size();++rowNum){
String row = wordSearchGrid.get(rowNum);
for(int colNum = 0;colNum < row.length();++colNum){
if(row.charAt(colNum) == 'X'){
int rookXmas = getNumRookXmas(rowNum, colNum);
int bishopXmas = getNumBishopXmas(rowNum, colNum);
xmasCount += rookXmas + bishopXmas;
}
}
}
//Save the results
timer.stop();
result = "The word XMAS appears " + xmasCount + " times in the grid.\nIt took " + timer.toString() + " to run the algorithm.";
return result;
}
private int getNumRookXmas(int rowNum, int colNum){
int occurrences = 0;
if(checkForwards(rowNum, colNum)){
++occurrences;
}
if(checkBackwards(rowNum, colNum)){
++occurrences;
}
if(checkUp(rowNum, colNum)){
++occurrences;
}
if(checkDown(rowNum, colNum)){
++occurrences;
}
return occurrences;
}
private int getNumBishopXmas(int rowNum, int colNum){
int occurrences = 0;
if(checkForwardsUp(rowNum, colNum)){
++occurrences;
}
if(checkForwardsDown(rowNum, colNum)){
++occurrences;
}
if(checkBackwardsUp(rowNum, colNum)){
++occurrences;
}
if(checkBackwardsDown(rowNum, colNum)){
++occurrences;
}
return occurrences;
}
private boolean checkForwards(int rowNum, int colNum){
return
//Check that the bounds are valid
(rowNum >= 0) && (rowNum < wordSearchGrid.size()) &&
(colNum >= 0) && (colNum + 3 < wordSearchGrid.get(rowNum).length()) &&
//Check that the word XMAS appears
(wordSearchGrid.get(rowNum).charAt(colNum) == 'X') &&
(wordSearchGrid.get(rowNum).charAt(colNum + 1) == 'M') &&
(wordSearchGrid.get(rowNum).charAt(colNum + 2) == 'A') &&
(wordSearchGrid.get(rowNum).charAt(colNum + 3) == 'S');
}
private boolean checkBackwards(int rowNum, int colNum){
return
//Check that the bounds are valid
(rowNum >= 0) && (rowNum < wordSearchGrid.size()) &&
(colNum >= 3) && (colNum < wordSearchGrid.get(rowNum).length()) &&
//Check that the word XMAS appears
(wordSearchGrid.get(rowNum).charAt(colNum) == 'X') &&
(wordSearchGrid.get(rowNum).charAt(colNum - 1) == 'M') &&
(wordSearchGrid.get(rowNum).charAt(colNum - 2) == 'A') &&
(wordSearchGrid.get(rowNum).charAt(colNum - 3) == 'S');
}
private boolean checkUp(int rowNum, int colNum){
return
//Check that the bounds are valid
(rowNum >= 3) && (rowNum < wordSearchGrid.size()) &&
(colNum >= 0) && (colNum < wordSearchGrid.get(rowNum).length()) && (colNum < wordSearchGrid.get(rowNum - 1).length()) && (colNum < wordSearchGrid.get(rowNum - 2).length()) && (colNum < wordSearchGrid.get(rowNum - 3).length()) &&
//Check that the word XMAS appears
(wordSearchGrid.get(rowNum).charAt(colNum) == 'X') &&
(wordSearchGrid.get(rowNum - 1).charAt(colNum) == 'M') &&
(wordSearchGrid.get(rowNum - 2).charAt(colNum) == 'A') &&
(wordSearchGrid.get(rowNum - 3).charAt(colNum) == 'S');
}
private boolean checkDown(int rowNum, int colNum){
return
//Check that the bounds are valid
(rowNum >= 0) && (rowNum + 3 < wordSearchGrid.size()) &&
(colNum >= 0) && (colNum < wordSearchGrid.get(rowNum).length()) && (colNum < wordSearchGrid.get(rowNum + 1).length()) && (colNum < wordSearchGrid.get(rowNum + 2).length()) && (colNum < wordSearchGrid.get(rowNum + 3).length()) &&
//Check that the word XMAS appears
(wordSearchGrid.get(rowNum).charAt(colNum) == 'X') &&
(wordSearchGrid.get(rowNum + 1).charAt(colNum) == 'M') &&
(wordSearchGrid.get(rowNum + 2).charAt(colNum) == 'A') &&
(wordSearchGrid.get(rowNum + 3).charAt(colNum) == 'S');
}
private boolean checkForwardsUp(int rowNum, int colNum){
return
//Check that the bounds are valid
(rowNum >= 3) && (rowNum < wordSearchGrid.size()) &&
(colNum >= 0) && (colNum < wordSearchGrid.get(rowNum).length()) && (colNum + 1 < wordSearchGrid.get(rowNum - 1).length()) && (colNum + 2 < wordSearchGrid.get(rowNum - 2).length()) && (colNum + 3 < wordSearchGrid.get(rowNum - 3).length()) &&
//Check that the word XMAS appears
(wordSearchGrid.get(rowNum).charAt(colNum) == 'X') &&
(wordSearchGrid.get(rowNum - 1).charAt(colNum + 1) == 'M') &&
(wordSearchGrid.get(rowNum - 2).charAt(colNum + 2) == 'A') &&
(wordSearchGrid.get(rowNum - 3).charAt(colNum + 3) == 'S');
}
private boolean checkForwardsDown(int rowNum, int colNum){
return
//Check that the bounds are valid
(rowNum >= 0) && (rowNum + 3 < wordSearchGrid.size()) &&
(colNum >= 0) && (colNum < wordSearchGrid.get(rowNum).length()) && (colNum + 1 < wordSearchGrid.get(rowNum + 1).length()) && (colNum + 2 < wordSearchGrid.get(rowNum + 2).length()) && (colNum + 3 < wordSearchGrid.get(rowNum + 3).length()) &&
//Check that the word XMAS appears
(wordSearchGrid.get(rowNum).charAt(colNum) == 'X') &&
(wordSearchGrid.get(rowNum + 1).charAt(colNum + 1) == 'M') &&
(wordSearchGrid.get(rowNum + 2).charAt(colNum + 2) == 'A') &&
(wordSearchGrid.get(rowNum + 3).charAt(colNum + 3) == 'S');
}
private boolean checkBackwardsUp(int rowNum, int colNum){
return
//Check that the bounds are valid
(rowNum >= 3) && (rowNum < wordSearchGrid.size()) &&
(colNum >= 3) && (colNum < wordSearchGrid.get(rowNum).length()) && (colNum - 1 < wordSearchGrid.get(rowNum - 1).length()) &&(colNum - 2 < wordSearchGrid.get(rowNum - 2).length()) &&(colNum - 3 < wordSearchGrid.get(rowNum - 3).length()) &&
//Check that the word XMAS appears
(wordSearchGrid.get(rowNum).charAt(colNum) == 'X') &&
(wordSearchGrid.get(rowNum - 1).charAt(colNum - 1) == 'M') &&
(wordSearchGrid.get(rowNum - 2).charAt(colNum - 2) == 'A') &&
(wordSearchGrid.get(rowNum - 3).charAt(colNum - 3) == 'S');
}
private boolean checkBackwardsDown(int rowNum, int colNum){
return
//Check that the bounds are valid
(rowNum >= 0) && (rowNum + 3 < wordSearchGrid.size()) &&
(colNum >= 3) && (colNum < wordSearchGrid.get(rowNum).length()) && (colNum - 1 < wordSearchGrid.get(rowNum + 1).length()) &&(colNum - 2 < wordSearchGrid.get(rowNum + 2).length()) &&(colNum - 3 < wordSearchGrid.get(rowNum + 3).length()) &&
//Check that the word XMAS appears
(wordSearchGrid.get(rowNum).charAt(colNum) == 'X') &&
(wordSearchGrid.get(rowNum + 1).charAt(colNum - 1) == 'M') &&
(wordSearchGrid.get(rowNum + 2).charAt(colNum - 2) == 'A') &&
(wordSearchGrid.get(rowNum + 3).charAt(colNum - 3) == 'S');
}
}
/*
Find how many times the word XMAS appears in the grid.
The word XMAS appears 2633 times in the grid.
It took 15.871 milliseconds to run the algorithm.
*/

99
src/main/java/com/mattrixwv/adventOfCode24/days/Problem8.java Normal file
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@@ -0,0 +1,99 @@
package com.mattrixwv.adventOfCode24.days;
import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;
import com.mattrixwv.Stopwatch;
public class Problem8 extends Problem{
private static final String inputFileName = "days/Problem7.txt";
private List<String> wordSearchGrid;
public Problem8(){
super();
description = "Find how many times the word MAS appears in an X pattern in the grid.";
result = "Unresolved";
}
public String runSolution(){
Stopwatch timer = new Stopwatch();
timer.start();
wordSearchGrid = new ArrayList<>();
int xmasCount = 0;
//Read the file
try(Scanner scanner = new Scanner(this.getClass().getClassLoader().getResourceAsStream(inputFileName))){
scanner.useDelimiter("\n");
while(scanner.hasNext()){
wordSearchGrid.add(scanner.next());
}
}
//Step through each character and find any instances of the word MAS in an X pattern
for(int rowNum = 1;rowNum < wordSearchGrid.size() - 1;++rowNum){
String row = wordSearchGrid.get(rowNum);
for(int colNum = 1;colNum < row.length();++colNum){
if(row.charAt(colNum) == 'A'){
if(isTLBRDiagonal(rowNum, colNum) && isBLTRDiagonal(rowNum, colNum)){
++xmasCount;
}
}
}
}
//Save the results
timer.stop();
result = "The word MAS appears in an X pattern " + xmasCount + " times in the grid.\nIt took " + timer.toString() + " to run the algorithm.";
return result;
}
private boolean isTLBRDiagonal(int rowNum, int colNum){
return
//Check that the bounds are valid
(rowNum >= 1) && (rowNum + 1 < wordSearchGrid.size()) &&
(colNum >= 1) && (colNum + 1 < wordSearchGrid.get(rowNum - 1).length()) && (colNum < wordSearchGrid.get(rowNum).length()) && (colNum + 1 < wordSearchGrid.get(rowNum + 1).length()) &&
//Check that the word MAS appears top left to bottom right
((
(wordSearchGrid.get(rowNum - 1).charAt(colNum - 1) == 'M') &&
(wordSearchGrid.get(rowNum).charAt(colNum) == 'A') &&
(wordSearchGrid.get(rowNum + 1).charAt(colNum + 1) == 'S')
) ||
//Check that the word MAS appears bottom right to top left
(
(wordSearchGrid.get(rowNum + 1).charAt(colNum + 1) == 'M') &&
(wordSearchGrid.get(rowNum).charAt(colNum) == 'A') &&
(wordSearchGrid.get(rowNum - 1).charAt(colNum - 1) == 'S')
));
}
private boolean isBLTRDiagonal(int rowNum, int colNum){
return
//Check that the bounds are valid
(rowNum >= 1) && (rowNum + 1 < wordSearchGrid.size()) &&
(colNum >= 1) && (colNum + 1 < wordSearchGrid.get(rowNum - 1).length()) && (colNum < wordSearchGrid.get(rowNum).length()) && (colNum + 1 < wordSearchGrid.get(rowNum + 1).length()) &&
//Check that the word MAS appears bottom left to top right
((
(wordSearchGrid.get(rowNum + 1).charAt(colNum - 1) == 'M') &&
(wordSearchGrid.get(rowNum).charAt(colNum) == 'A') &&
(wordSearchGrid.get(rowNum - 1).charAt(colNum + 1) == 'S')
) ||
//Check that the word MAS appears top right to bottom left
(
(wordSearchGrid.get(rowNum - 1).charAt(colNum + 1) == 'M') &&
(wordSearchGrid.get(rowNum).charAt(colNum) == 'A') &&
(wordSearchGrid.get(rowNum + 1).charAt(colNum - 1) == 'S')
));
}
}
/*
Find how many times the word MAS appears in an X pattern in the grid.
The word MAS appears in an X pattern 1936 times in the grid.
It took 6.451 milliseconds to run the algorithm.
*/

140
src/main/resources/days/Problem7.txt Normal file
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@@ -0,0 +1,140 @@
SAXMASMMMASAMMMMXXMMXMMMSSMMMXSAAXMSSMSSSSSSSSXSASXMSMMMSASXSXMASXMSSSMXSSMXSMSSXMXXSXMXAMXMASXASXMSAMSSSMMAAXAMMXXSAMMSXSSSSMSMMSMSAXSAMXMX
MXXAAMAAMAMASXSSSMMSAMMSAMASMMSXSAMXAAMAAAAAAXSXAMMMAMAAXAMMAXXAXAAAXMAMMAMAMMAMXMAXSASXSAMXAXMSMAMMAAXSAMXSSXMMMAMMASAMXAAAXAAAXAAMAMXAMXAM
XSXMASXMMXSAMXAAXMASASMMXXAMAXXAMXXSMMMMMMMMMMXMXMAMASASMMMAMMMMXMMMMSAMSAMAXMAMAMMXSAMXMMXMASXAMXMSMMMSMXMXAXSAMSXSAMASMMMMMSMSMMSMAMSXMASA
SMAMASMAMAMASMMMMMASMMXAAMMSSMMMMMXAXXXAMAMASXAASXXSASAXAAASAAAMASAXMSXXSMMMMSASXSMAMXMAMXAMXMXMMAMXAAAMXSMMMXMAMMAMSSXMMMSMAMXXXAAMAAXASAMS
XMAMAXXAMSSXSMSAXMXSXSMSMMXAXAXMASAMXMMMSMSASXMXSAMMMMXSMMMMSSXSXSASAMXMMMSMMMAMAAMXMMSXSAXXAMAXASASXMSSXXAAXMXMMMMMASXAXAAMSSXXMXSSXSMMMAXX
SSXSXMMXSMMMSASAMSMSAXAAAXMXMSMSASAMAMAAAAMASXMASAMXASXAXAXMXMASAMXMASMSAAAAMMSMSMMAXAAAMMSSXMAMMMAXXAXAXMSMSSMXAMXMAMSAMSXSMMMXXAMXXMASXMMS
XAAAAMSMMMAAMMMSMAAMMMSMSMMMMMAMXSMXAXMSSSMAMXMASAMXMAASXSSMAMXMASASXMASMSSSMAMMXXSSSSMSMXXASASXMMXMMXMMMXMAAASXMMSMAXMXXMMSASMXSAMXSAAXAAAX
SMMMMMAAASMSMSAMMMSMXAXXXAAAAAXMMXMSAXMAMXMAXXMAXAMSXMXMAMXXAXSXMSMMSMMMMAAMMMSXMAXMAMAMXMMAXMXAMXAMXSXXMAMMMSMSMAXMSXMXSAMXMMAMXASAMMSXXMSM
MAAXMSXXMSAAAMMXAXAMMMSMSSMSMSMSAXMASAMAMXSXMMMMXSAMXXXMAMASXXSAMXMXAMAAMMMMAAXASXSMSMMAAMMAASXMMSSSMMMSSMSSMAAAMXMMXAMXSMMSSMXMSAMXXAMMSXMM
SAMMXAMSAMMMSMSSSXXXAXAMMXAXMAMXAXXAMXSXSAMXMSAXAXMMSSMSAMXMMMSAMAMSMMSMSXSSMSMMMAAXXAMSXXXMXSAAMXAAAAAXSXAMSMSMXAMXSAMASXAAAAXMMXAAMSSXMASX
MSSXAAMMASXSAXXAAMSSSSSSMMSMMXMMMMSXSAMAMAXAAAXMMXAAAMXSXMAMXAMAMXMAXMAXXAMXAMASMSMMSXMXMSAMASXMMMXMSMSSXMSXSXMASXSMSXMASMSMMMMXAMMXMAMAMAMS
MAXXMAMXAXXXXMMXMAMAAMXAMXXXMMAAAXXAMXSASMSMSMMXXSMMMMAXMMSSMMSAMXASMMSMSAXMASAMAAXMAMMMASAMXSAMSAMXAAXMXMMAMSSXAAAAXMMASAMSMAMXXSMAMASAMASX
MSSMXMSMMSSMMSMAMASMSMSMMSXAAXSMMSMAMASXSAAAMXAXMASXMMSSXAMAMXXASAMXXSAAXXMAXMAMSMXSAXMAXXAMASAMXMASMSMMAMMXMAXSMSMMMAMAMXMAMMXSXAMSSMSMSMAX
XAMAAAAAAAAAAAXXSASXMAXXAMMSMXXAMAXMMXSSMMMXSASMAMSMSAAAMXSAMXXAMAMAXSMSMAXMMXAMAMAXMSXSSSMMXSMMSAXSAMAMASMMMSXSXAASMXMASMSMXSAMSMSMMMMMSMAA
AMSSMSSSMMSMSSSXMMSMMSMMXSAMXMMAMMSMSMMAXXAMAXMMMMMAMMSSXMMMMSAMXSMXXMAMXMMSMSMSAMXXSMAAAAXSAMXAXMXSAXSSMSAAMXASMSSMASMMMXAAAMAXXXAAAXAAXMXS
SXAXMMXMAMXXMXMMAMXMAAXMAMXSXAXXMXAXAASXMSAMMMAXSXMMMMXMMXAAAXAMSAMXMMAMAMXAAAASXMMXMAXMMMMSXMAMMMASAMXAAXASAMAMAXXMAMAAXSMMMMSMMSSMMSMSSMAX
AMASXXAAXAMXAMXSAMMSMMMMASMXMSAMXSMSSMMAXMAMXMXXXAMSSMAMSSSMMMXMXAMXASASASMMSMMMXASXMASMXSAMASAXAMAMMSSMMMXMMMMMMMXMSSSMMXMAMMAAXXMAXXMMXMAM
MMMMMSMMSMSAXAMSASAAXXASXSAAAXAXMMMAMAMSASXMASMMSAMAAMASAXXMSSSXSXSXMXASMXXAAXAMSXAAXMAMXMASASAMSMSSMAAASXXMXAMAXAXMAXAXMXMASXSSMMMMAAAAMMSS
XXAAAAAXAAXXXMASAMMSSSMSAMMSSMXSAXMASAMAAAAMXSAASAMSSMSMMXXAAAXAAAXAXMMMMSMSMSAXXXSXMXSSMSMMASMMXAMAMSSMAMXXSASMSSMSMSMMASXAAXAAAXASMSMXSAAM
SSSSSSSMMSMXMAXMMMMMXMXMAMAXAAAMMMSXSAMMMSXMXMXMSAMAXXAASMSMMSMXMAXAMXSAAXAAAXXASXMXSAAAAXMMMMXSXASXMAXMAXAAMAMAAAXAAAMMAMMXXASMMMMSAAASMMSS
AAMAAAMXMAXAMXXAXAMXMMXSMMXXMMMXSAMXSAMXAAAMMMMXSAMMXXXXXAAAAMASMMASMMSMMSMMXSAMXAMAMMSMMMMAAMASXMMMMMXXMMAMXAMMSMMMSMXMASXMXMASXAAMMMMXASAM
MSMSMSMSSSSMXAMSMMXXASXSXSAMXAAMMASASAMMMSSMAMXMSAMXMSSXMSMMMSXMAXAAAAXMMAXXXSMXSXMAXAXXAASXSMAMXXAAMXMASMSXSXSXMXSAAMXSXMASMXMSSMSSXXASMMAS
XXAXAXAAAAAXMXSAASASMMAMAMXMSMSSSMMASXMXMAMMXSAMXAXXSAAMAMXMAXMSMMXSMMSXMAXSAMXAMMSXSXSSSXSMXMMSMSSMSASMXAXAXAMXXAMSMSXMXMAMSAMXXMAXMXXMXSMM
AMMMSMMMSMMAMSAXXMAMAMAMAMAXAMAXAMMMMMSXMASXASASXSMMAMMMSXAMSSMMXSAAAMAXXAMMXMAXMAMMAXXAMASAMMMAAMXAMXSAMSMSMSMSMMMXXMAMXMXSSMMMMMMSMSSMASXA
AAXAAXXXXASMMAAMSSMSAXAMASMSSXMSSMXAAAXAMSAMXXXMAXXXMXXXMAMSXAXXAMXSMMASXMMXMMMSMMSSXXMAMSMXMASXSSSSMAMAMMAXAMASXSASASMMAXMAMXAAAAMAAASMAMMS
SSMSSSXMAMMXXMSMXAASASXSMAMSASXAAMMSMMSAMXMASMMMMMMXXXSAMXXSMMMMMMAMXMXSAMAXXAAMAMAAAAMMMMAASAMAMMAMMASXMXSMXMAMAMASAMXMXMXAMSSMSSSMMMMMXMAM
XAAXXXMAXMAXXAAMMMMMMMMAMMSMMAMSSMAXAMXMAMMASAMMAAXMXMXMAMMMAXAMAMSSXMSMASASXSXSAMXSMMSAAMAMMASMMMAMXMMAAXMMXMMSAMXMAMSSSMAXMAMXAAXAMXSSSMSS
SMMMMMSMMSXSSSMSXMASXSSMMXXMXMMMAMASAMXMAMMASXMMMSSMMSSMMSASMMXMASMAMSMMASMSAMXSASAMAXSMSSMXSAMAASXSAMMXMMMASXAXAMXSAMXAAAAASAMMMMMSAMXAAAAX
SAMXXAAAMMAMAAAMXMXAAAAMAXMASXSSMMXSAMMSASMASMMSMAXXAXAAMXMAXSASMXMAMAAMASAMAMASMMXSAMXXAXMXMASMMMASAXSSMXXASMMSAMASMSMSMMMMMASAAAAXASMSMSMS
SAMXASMSMMAMSMMMAMMMMSMMXAXMMAMAXSAMXXAXASMMXXAAMMMMSMMMMSAMXMASAXSASMSMMMXMAMMMASAMAMXMMSAXMASAMMMMSMAASMMMSAXSAMXSASXAMXXXSMMMSMSSXMMMXXAA
MSAMXAAAXSSMXXASASAXAMXMXMXMMAMAXMXSAMMSXMASMMSMSASMXXSAASAMXMSMMMMASXXXMASXMXXXAMASXMXAXAMXAAMAMXXAMMSMMXXXSXMSMSMMAMSMSMSAMAAXMAXMASXSAMXM
XMMMMMSMMAXMASXMMSXMXSASASAMSMSMSMMSASAAAAAXAMXAMAXAXASMXSAMXXXAXAMSMMSMSXMASMMMASXMAAMMXSXSSSSSMMMAMAMASXAMMSMXAAMMAMAXXMAASXMMMMMSMXAMXSAS
MXAAAXAMMMXMASMSXMXMMSASAXAXAAAAAMASXMASMMXSAMMMMSMMMMMMMXXMSMSMMXMAAMAAAMMAMAMMAXAMMMSMAMAMAMAASAMSMXSAMXSAAAMMSMMXASMXXAMXMMAMXAAXXMXMXMAS
AXMSXMXXAXAMASAAMXASAMMMMSSMMMMSXMXSXMXXAMXAAXXXAXAMSXSMSSSXXAXMASMMMSMSMSSSSSSMMSMMXAAMAMAMAMXAXXXAAMMMSSMMSMXAAXSSMSASXSAXASMMMMXSAMASMMMM
SXMMMMMMMSSSMMXMAMXMMSXAAAXASMMMASAMXSAMAMXSXMXMMMAXMASAAASAMSMMMSAXMAAAXMAAAAXAAAMSMSSSXSXSXSMASXSXSMASMXXAXAMSMMMAXMXMAXXMXMASAAASXMAXAAXS
XSAAAXAMMAMAXAMXSAAMXMMMSSSMMAAMXMAXXXASXMAXAMXAMSSMMMMMMXMXMAXAXSASMMXMXMMMMMMMMMXAAMXMXMAMAXXMAMXAXXXMASMSSXMXASXMMXSMMMXAAMMMMMXSAMSSXMSM
SAMSMSSXMASAMMSMMSAMASAMXAAXSXMMSMSMMMMMMMASXMAXXAMASXXXSXSMSXSSXXAMAMASAMXXAASMMSSMSMAMMMAMAMSAMXMXMAXMSMAAMMSXMMAMSMSAAAMMSSXXMSASMMAAASAM
AMXAAMXAMXMAXAAAMMMXAXAMMSMMSMSMSAAXAXSAXMAXAXAMMASASMMMSAAAMMMMMMSMXSAMASXXXASAAXAXAXMXAMMXAXMMASXXAASXMMXMXAXAXSXMAAMXMMSAAXMSXMAXXMMSMSAS
MXSMSMSMMMSAMSSSMAAMXSXSXMAAXMAAMSMMSMSASMSSMMSXSAMMSASAMSMMMAMMMAAXMMMXAMASMASMMSMSSXMMSSSMMXAAMAAASXMMAMMMMSXMMMXSMSMASAMXSMMXXMMMMSXXAMAM
XASMAXAMXXMAXAAAXMSSMAASASMMSSMSMAXXMAXAMAAXMAMXMASXSAMSAXMAXMSSMSSMSASMASAXMAMAXXXMMAAXXAXAXSMMMMMMMAMSAMXSAMSSMSMSAAXXMAMMAMXXMASMAMXMAMXM
MXSAMSSXMXSMMMMMMXAXMMXSAMXMMAAAMXMSMSMXMXMXMAXAMAMXMXMMMMAXXXAMMXAXMAMSAMXSMMMMMMMASXMMMSMSMXMAXXXAMAMSASAAASAMASAMSMSXMAXXAMXMSASMSMMXAMAM
XMXAMXMASAMXSXSXXMMSXXAMMMSSSMMMMMMAAAAAMMSMSASMSSMXMAXAMMAMXMMSSMXMMMMMSMSMXSAMAASMMAXMAMAMAMSMMMSXMAMSMMMMMMMMAMAMMMMASASMMSSXMASAMXSSSSSS
MSMAXXSAMASAAMAMMAASAMXMAAAAXAXXMASMSMSXSAAMAAMXAMXASXSSMMASAAXAMAMXAXAXASXAASMSMXMASXMXXMAMAMAAAXXXSMMXAASXMXXMASXMMASAMAXXMAMXMXMMMXMAMAAM
AMXMMXMXMXMXMAAAXMMSXMAMMSSMSMMXSAMMAAXMMMSSMMMXMXSMSAMAXSASMSMXSXMXXSASMMMMMSXSXSSXMMMXMSAMXXMSMSAMMSSSSMSAMXSAAXMXSMMXSMSSMSSXMXMAAXMAMMMM
SMSMMAMMSXSAMSSSMSXMASXSAMAXSAAXMAMSMSMSAMXAAMMAMMMMMMMAMSAMXMXXMASMXSAMAAXMXSAXAXMMMAXMASXSXSAAXMAXAAMAAASXMAMMMXMASAMXSAAMAMXAMASAMXMAMAAX
ASAAMXSAAAMAXAAAAMXSAMMMASMMSMMSSSXAAAMAMMSSMMSAMAAAAXMAMMMMMMSASAMMAMASXMSXAMAMSMMASMSAMXXAAMSMMSMMMSXSSMMMMASAAASASAMAMMMMMMSXMASASASXSSSS
SSSSMXAXMSSSMMSMMMMXMASMXMAXXAAAAAMMMMSAMXMASXSXSSSSMSMXMASXXASMAMSMXMAMAMMMMSAAMAMASMAMXMXMXMAMAAAMAMMMAXAXMXSMMXMASXMXSAMMMMXAMXXMMXAAXAAX
AMAMXMMSXMAXAAMAAXSAMXMXXSMMSMMMMMXXAXSMSMSAAMMMMMAXASMMMAMXMASMAMXMAMMXSXAAMMMXSAMXSXMMXSMSASMSXSXMAXASAMXMMAXXXAMAMAMASAMAAXSSMMMXMSMXMMMM
MMAMXSAAAMAMMMSSMXSAMSAMXSXMXAXASXSSMXMASAMMMMAXXMAMMMASAXSAMXXMAXAMAMSAMSSSSXMASASASAMXXXAXASAAMMXMSSMMXMASMSASXXMASXMASAMSMXAAAXSAMAAASASM
XSMSAMSSSMASXAAAXAXMASXMXMAMSSMMSAAAXAMAMAMMXSASXMMSXMAMMXXXMAMXSSMSASMAMAMAXXMASXMASXMAXMSMAMMMXXAMXAXSAMXXAAAAMSSXXAMASAMAMMMMSMSASMSMMASA
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MMXSXSXMAMAMSMMXMMSSSMSMMSAMASXSAMMAMXMMSSMAAAAAMASMMXSMMSXMXSMMAAMMMSAMXSMSSMMASXXSMMMSAMAMMASMSMSSMXMAMAMXMSAMXXSSSSXSAAXMMAAMMMAMMMAMMSXM
XSXMMSAMMMSAMXSAXXAMAAXAMMMMMXASXSMAMMMMAAAMSSMMMXMASXXAAMAXAAASXMMAMMAMAMMAAASXMMMSASAMXMSMMAMXXAAAMSMMXSAMXXMXMMMMMAXXMMSAMXMMASAMXMAMAMMM
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SSMMXSAMXXSAMXMAXAAAAXSXSASMXMAMAMXXAMMXXAMMXSAXMAMAMMMSSMMMAASMMMMAMXAAMASAXXMASMSSXSSMXSSMMAAAAXXMAMMMMMSSMASASXSMSAMAMMMMMMMAXSAMXXXMASAM
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SMMXASAMMMMMAXAAXXAAXASMMSXSASXSAMAMMAXXSAMAAXXXAMXMMMMMSMMSMXSMMAAMASXSMSSMSXMSSSMMAMMMASMMMAXMAMAMASAAMMSXMMSAMSMXMXMASAAAMSSMMSMMASAXXSAM
XAAMXMSMAAAMMSAMXSSXSASAAXMMAMXSASASXMMMSASXSSMMSAAXXAMXXXAAXMXXMXMMAMMAAAAXXAXMAMXXMSSMASAAMMMMASAMMMXMMAMASMSXMXAXXAAXMMMMSAAMAAAMAMXMAMMM
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MMMAMMASAMSAMXAMMMMMMSAAMSXMAAXXAAAXMSSSMSXSAMXMXSXSXSXSASMSASAAAMXSXMMSMSMSMSMXSAMXMSXMASAMAMXSASAAXAMXSASASMMMAAMSSSMMAASAMMASXMMXSASXSSSM
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SMMMSASAXMAMXAMMSMMSSSSMMSSMSMMMAMAXXMASMMAMXXAMASXMSSMSXSAAXMASMXAXAAMMMMMMSSMSMSXSAMASAMXSAMXMAAASXSSMXASMAMAMXAAXXMXXMAMXAAXMMSMMMAXAAXXA
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ASMXXASXXMASXAXSMSMSSSSMMXXMMMMSAXMASMSSSSXSASASXSMMSMMMMMMMAMXSMXXAMXMMSMMSSSMMMMSMXSAMXXMASXMMXMASMMAXMAMSSSSMAXMAAAMXSAAASXSMMMXMSXAAXAAX
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MMMSMSASXMAXXXAMXMAAMASMAAAAMAMXMXMAMXAMAXSMSSSMAAMXSMMMMMAMAAMAMMAMMXMSMMMSAASMMMXMAAMSXSXMAAMSAMSAMASXMASAMSSSSXSMMAMXSAMXMAXMXXASMMMSMSAX
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MMAMASAMXMXSMMXSAMMASMMMSMMSAMXMMSMASMMSXSAAMMXMASMSMXASXMMMAMAMAXAAAAAAMXMAXAMSAAASMSAMXSAMXAMSAMXAXAMAMAMSAMXXMASMSSMMASMSMMMSAMXMMMAAAAAA
SMAMMMMMAMXXMAMMASMXSAMXSAASAMAXAAAXXMAXAXMSMMAMMMMAXAAMXAXXXSAMXSMSMMMMMAMMMMAMMMXMXMASMSAMAXMAMASASMMMMAAAXMASXXXAXMAXAMMASMXXXAMXAMMMMMMM
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MASXMASAMXSXAMAASMMMAXAAXMASAAASMMSMAMAMXMMSAMASMMAAXSMMSAMAXXMSSSXMSMXMMXAXMAAMXMXMAXMMSAXAAMSMMMMASMAMSXMSXXXXAMXMAXSASXSSXMAXMMSAMXXAXXAS
MAMAMAXAAXSMSSMMMMSSMMMMMMASXMMMAXAXXMXSAAASASAAAMAXMAAAMASAMAAAAAMXAMASMMMXMMSMAMMMXMSASMSAXAAMXXMASXAXASAMXMMSMSXXAXSAMAMAMSSSMAMXMMMSMXMX
SMSSMMSXMASMMAXXAAMAAAXXSMMMASMSSSSSSMAMMMMSAMMXXMASMMMSMXMXASMMSMASASASXASAMXAMASAMAAMAXAXAXSASMMMASMMXMSMMMMAAAMAMSXMAMMMAMAAAMMXAXXAMMASM
AAAMAXAAXXSASXMSMMSMSXSAXAXSAMMXAAMAAMXSAMXMMXMSXMAAMSXXXXAMMMAMXXXSXMASMMMMSSMSXSASMSMSMMMMMMAAXAMMSASMXSASXMSSSMSMMASAMASXSMXAMXMSMMAXSAMA
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SXMAAAAMXSSMXASMMAMXMMAAAASMMMAAMASMAMXXSXMXSAMXMASXXSMSASASMSSSMMMMMMSMXASAXAMXMMXMXXMXSAMXASAMXMAXXXXMASAMAXMAMXMXXAMASXSAMXSMMSSMMAAXASXS
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MASAMMMMAAAXXMAMXMXMMAMXMMMMAAAAXAXAMAAASXAMSMMMMMSSSSSMXSSSSMXAMXAAAMXXMSMMASASXSASAXSAMXSXMASMMSASASMMAMAMAXXMMMMMSASAAMXAAAXMMXMASASAMXAX
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MMMMMMMMSMXMMXMASXAXAAMASXMAXSAMXAMXXMXAXMMAMXXSMXAMXMXAXXAXAXMASXSXMAXMAXSAMXSAXXAMAXAAAAAMSXSSMSMXXMXXAAXMAMXSAMASXMMMAMSAMXMAMSASMMMAAAAS
XMAMAAXMAMXXAAMXMMMMSXMASAXMASMSMXSSSSMXMXMAMXAXXSXMMXSAMMSXMSMASXAXAASXMMAASAMXSSSMSSSSSSMXAAAAMAXMSMSMSMSSXMASMMASXAXAXASMXSAMXSAMXMMMSMMM
MSSSSSSXSXSXSMSAMAXAMAMXSMMSMMXMMMAXAAASMSSSSMMMMXAXMAXAAMAASMMASXSXMASAAMSMMMMAXXXAAAXXAAXMASMMXMSXAAAAAAXMSMMSXMXMMAMSMMMSASXSAMXMAMXAMMMS
MMMAXAMAMAMXMAMXXAXSMSMAMXAXASMAAMXMMMMXAAAMXAAMMSAXMASMSMSSMAMAXMAASASMMMAAXSMSSMMMMSMXSMMMAMMSAMMMMSMMMXMAASAMXSMMMSAAXAAAMSAXXXASASMMMAAA
SAMXMMMAMAMMSAMSMSXMAAMMAMXSAMASMSAMSMSMMMSMXSMSAMXMSAXXAAMAMAMXXASAMAMMMXMSMXXMAXAAXMXMMXMMXMASMSAMXAAMSSMSMSMSAMAAAMSSSMSXAMMMSMASAMMASMSS
XSMXAXAAXXMAMAMXAMAMXMMXAAXMAMXMXSMSAAAXXMXXAAXMMSXMASXSMSMASMMMSMMMMSMSAASAMXSSMMSSSXMAXASXMMAMXMMMMMSMAAXXAMAMMSSMXXAXXXXMMXSAAMAMAXSMSMAA
SXXSAMMXXXMAMAMMAMXMSXMXAMXXAMMXASXSMSMXXSAMSSMMXMXMAMXMAMMMMXMAAXXAAXMMXMXAMAMAMAXAXMASMMMAASAMSMMSSMAMMSASAMXMAXMMSMMMSSXAXAMMMMXMMXMAXXMX
AXAAAMAASMSASXSMAMAMAASXSMMSASAMXSAXAMMSMMMMMAXMAMAMMMAMAMMMASMSMSSMSSMAMSSSMASXMSMSMMAXXMMMMMAXSAAAAXMSXXASXMAXMMMAASASAMXMMMSMSSMMSSMAMMXM
MMMMSMXXSAAAAAXXASASXXMAMAASXMASMMMMSMAAAASASMMSASASMSSMASXMAMAAXMASAXMAMXAASAMXAXAAAMSSSMAXXSXMSMMSSMXAAMAMXSXSXAMSSSSMASAXAMAXAAAAAAAMSAAA
XXXXMAMXMAMSMAMSXSMSXMMAMMMMXXMAMAXXXMSSSMSMSXMSASMSMXMAXSAMMSSMSSMMSSSMSMSMMSAMXMSMSMMAASXSAMXMXXMAXXSMSMSMMXXSMSXXAMXMASASMSSSSSMMSSMXAXSS