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THE PROBLEM: Write a program that reads N points in a plane and outputs any group of four or more colinear points
What I did: I calculated the slope of every 2 points and then put them in a hashmap to see which one is the max.
What I need to do: I need to output the points that are colinear from the initial 2D array. I found the number of points that are colinear with the hashmap.
import java.util.*;
public class app {
public static int maxPoints(int[][] points) {
int ans = 1;
int n = points.length;
for (int i = 0; i < n; i++) {
HashMap<String, Integer> map = new HashMap<>();
int OLP = 0;
int max = 0;
for (int j = i + 1; j < n; j++) {
if (points[i][0] == points[j][0] && points[i][1] == points[j][1]) {
OLP++;
continue;
}
int dy = points[j][1] - points[i][1];
int dx = points[j][0] - points[i][0];
int g = gcd(Math.abs(dy), Math.abs(dx));
int num = dy / g;
int deno = dx / g;
if (num == 0)
deno = 1;
if (deno == 0)
num = 1;
if ((num < 0 && deno < 0) || deno < 0) {
num *= -1;
deno *= -1;
}
map.put(createString(deno, num), map.getOrDefault(createString(deno, num), 0) + 1);
max = Math.max(max, map.get(createString(deno, num)));
}
ans = Math.max(ans, 1 + OLP + max);
}
return ans;
}
public static int gcd(int a, int b) {
if (a == 0)
return b;
if (b == 0)
return a;
int max = Math.max(a, b);
int min = Math.min(a, b);
return gcd(max % min, min);
}
public static String createString(int a, int b) {
return Integer.toString(a) + " " + Integer.toString(b);
}
public static void main(String[] args) {
int[][] points = { { 1, 1 }, { 2, 2 }, { 3, 3 }, { 4, 4 }, { 5, 4 } };
System.out.println("max Points are: " + maxPoints(points));
}}
i'm just created a java project to print string that is given in rows and column just like matrix. Here's the output that i just made:
h e l l o
_ w o r l
d _ i t s
_ b e a u
t i f u l
Is it possible to show the output like a spiral pattern like this?
h e l l o
_ b e a _
s u l u w
t f i t o
i _ d l r
For the clarification how this spiral matrix created:
Here's my current code:
String str = "hello world its beautiful";
double length = Math.sqrt(str.length());
int x = (int) length;
for (int i = 0, len = str.length(); i < len; i++) {
System.out.print(str.charAt(i) + " ");
if (i % x == x - 1) {
System.out.println();
}
}
I'm trying to make the same pattern like that, but it's never be. Let me know that you can help me with this. I appreciate for every answer that you gave, thank you.
Basically, you move through the string from start to end, but treat the stringbuffer as an array.
You#ll also need to to keep track of your direction (dx,dy) and where your bounds are.
The following code will produce:
hello
beau
l.tw
sufio
i dlr
given the input "hello world is beautiful"
public class Main {
public static void main(String[] args) {
String text ="hello world is beautiful";
int len = text.length();
double sideLength = Math.sqrt( len );
int width = 0;
int height = 0;
// check if it's a square
if ( sideLength > (int) sideLength) {
// nope... it#s a rectangle
width = (int) sideLength +1;
height = (int) Math.ceil((double)len / (double)width);
} else {
// square
width = (int) sideLength;
height = (int) sideLength;
}
// create a buffer for the spiral
StringBuffer buf = new StringBuffer( width * height );
buf.setLength( width * height );
// clear it.
for (int a=0; a < buf.length(); a++ ) {
buf.setCharAt(a, '.');
}
int dstX = 0;
int dstY = 0;
int curWidth = width;
int curHeight = height;
int startX = 0;
int startY = 0;
int dx = 1;
int dy = 0;
// go through the string, char by char
for (int srcPos =0; srcPos < len; srcPos++) {
buf.setCharAt( dstX + dstY * width, text.charAt( srcPos ));
// move cursor
dstX += dx;
dstY += dy;
// check for bounds
if ( dstX == curWidth-1 && dx > 0) {
// end of line while going right, need to go down
dx = 0;
dy = 1;
// also, reduce width
curWidth--;
startY++;
} else if (dstY == curHeight-1 && dy > 0) {
// end of column while going down, need to go left
dx = -1;
dy = 0;
// also, reduce height
curHeight--;
} else if (dstX == startX && dx < 0) {
// hit left border while going left, need to go up
dx = 0;
dy = -1;
// also, increase startX
startX++;
} else if (dstY == startY && dy < 0) {
// hit top border, while going up, need to go right
dx = 1;
dy = 0;
// also, increase startY
startY++;
}
}
// display string
for (int line = 0; line < height; line++) {
System.out.println( buf.substring( line* width, line*width +width) );
}
}
}
spiralMatrix(int s) returns s x s spiral matrix.
static int[][] spiralMatrix(int s) {
int[][] a = new int[s][s];
int n = 0;
for (int b = s - 1, c = 0, x = 0, y = 0, dx = 0, dy = 1; b > 0; b -= 2, x = y = ++c)
for (int j = 0, t = 0; j < 4; ++j, t = dx, dx = dy, dy = -t)
for (int i = 0; i < b; ++i, x += dx, y += dy, ++n)
a[x][y] = n;
if (s % 2 == 1)
a[s / 2][s / 2] = n;
return a;
}
test
for (int s = 0; s < 6; ++s) {
int[][] a = spiralMatrix(s);
System.out.println("s=" + s);
for (int[] row : a)
System.out.println(Arrays.toString(row));
System.out.println();
}
result
s=0
s=1
[0]
s=2
[0, 1]
[3, 2]
s=3
[0, 1, 2]
[7, 8, 3]
[6, 5, 4]
s=4
[0, 1, 2, 3]
[11, 12, 13, 4]
[10, 15, 14, 5]
[9, 8, 7, 6]
s=5
[0, 1, 2, 3, 4]
[15, 16, 17, 18, 5]
[14, 23, 24, 19, 6]
[13, 22, 21, 20, 7]
[12, 11, 10, 9, 8]
And you can do it with this method.
String str = "hello world its beautiful";
int[][] spiral = spiralMatrix(5);
int length = str.length();
for (int x = 0, h = spiral.length, w = spiral[0].length; x < h; ++x) {
for (int y = 0; y < w; ++y) {
int p = spiral[x][y];
System.out.print((p < length ? str.charAt(p) : " ") + " " );
}
System.out.println();
}
result
h e l l o
b e a
s u l u w
t f i t o
i d l r
you could try to make the spiral algorithm first and try to find the value of its each index in the matrix so that later you could map every index of your string into the specific index in the spiral array matrix.
for example:
Input: n = 5
Output: 1 2 3 4 5
16 17 18 19 6
15 24 25 20 7
14 23 22 21 8
13 12 11 10 9
Aligned Output: 1 2 3 4 5 16 17 18 19 6 15 24 25 20 7 14 23 22 21 8 13 12 11 10 9
the algorithm can be found here or here.
now you know all the index of each position to make the letters aligned in a spiral way, what you have to do is map each letter of your string to be print according to the number of the spiral matrix sequentially.
print string 1.
print string 2.
print string 3.
print string 4.
print string 5.
print string 16.
print string 17.
print string 18.
print string 19.
print string 6.
print string 15.
cont...
Probably I'll add my answer too, idea is to flatten a two dimensional array to 1d and use the 1D array and transform it to a 2D spiral array. Hope it helps.
Code:
class Test {
static String[][] spiralPrint(int m, int n, String[] a) {
String[][] output = new String[m][n];
int count = 0;
int i, k = 0, l = 0;
while (k < m && l < n) {
for (i = l; i < n; ++i) {
output[k][i] = a[count++];
}
k++;
for (i = k; i < m; ++i) {
output[i][n - 1] = a[count++];
}
n--;
if (k < m) {
for (i = n - 1; i >= l; --i) {
output[m - 1][i] = a[count++];
}
m--;
}
if (l < n) {
for (i = m - 1; i >= k; --i) {
output[i][l] = a[count++];
}
l++;
}
}
return output;
}
private static String[] flattenArray(String[][] input, int m, int n) {
String[] output = new String[m * n];
int k = 0;
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
output[k++] = input[i][j];
}
}
return output;
}
public static void main(String[] args) {
String[][] input = {
{"h", "e", "l", "l", "o"},
{"_", "w", "o", "r", "l"},
{"d", "_", "i", "t", "s"},
{"_", "b", "e", "a", "u"},
{"t", "i", "f", "u", "l"}};
int m = 5;
int n = 5;
String[] flattenArray = flattenArray(input, m, n);
String[][] spiralArray = spiralPrint(m, n, flattenArray);
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
System.out.print(spiralArray[i][j] + " ");
}
System.out.println();
}
}
}
Output:
h e l l o
_ b e a _
s u l u w
t f i t o
i _ d l r
Note: Indeed that I followed this Spiral transform to 1D, but it is not straight forward, I have re-modified to fit to the problem.
I think that the best way to implement this is the following:
create an instruction object (Dictionary.java) which controls the fill-in process of the matrix
fill in the matrix with data (Spiral.java)
then show the matrix
With this approach, you can change the pattern easily, without changing the rest of the code because the pattern generator works detached from the rest of the code.
This is how the basic Dictionary class may look like:
public abstract class Dictionary {
protected int matrixSize;
protected String[] dictionary;
public Dictionary(int matrixSize) {
this.matrixSize = matrixSize;
dictionary = new String[matrixSize * matrixSize];
}
public abstract String[] createPattern();
public void showPattern() {
Arrays.stream(dictionary).forEach(System.out::println);
}
}
For each pattern, you need to implement the createPattern() method differently.
For example, a frame pattern implementation can be something like this:
public class FrameDictionary extends Dictionary {
protected int dictionaryIndex = 0;
protected int startX, endX;
protected int startY, endY;
public FrameDictionary(int matrixSize) {
super(matrixSize);
startX = -1;
endX = matrixSize - 1;
startY = 0;
endY = matrixSize - 1;
}
#Override
public String[] createPattern() {
while (dictionaryIndex < matrixSize) {
pattern1();
pattern2();
}
return dictionary;
}
/**
* pattern 1
* direction: left -> right then top -> bottom
*/
protected void pattern1() {
startX++;
for (int i = startX; i <= endX; i++) {
dictionary[dictionaryIndex] = i + ":" + startY;
dictionaryIndex++;
}
startY++;
for (int i = startY; i <= endY; i++) {
dictionary[dictionaryIndex] = endX + ":" + i;
dictionaryIndex++;
}
}
/**
* pattern 2
* direction: right -> left then bottom -> top
*/
protected void pattern2() {
endX--;
for (int i = endX; i >= startX; i--) {
dictionary[dictionaryIndex] = i + ":" + endY;
dictionaryIndex++;
}
endY--;
for (int i = endY; i >= startY; i--) {
dictionary[dictionaryIndex] = startX + ":" + i;
dictionaryIndex++;
}
}
}
Output:
a b c d e f
t g
s h
r i
q j
p o n m l k
You can draw the pattern what you need with the following implementation of the createPattern() method:
public class ClockWiseDictionary extends FrameDictionary {
public ClockWiseDictionary(int matrixSize) {
super(matrixSize);
}
#Override
public String[] createPattern() {
int pixelsInMatrix = matrixSize * matrixSize;
while (dictionaryIndex < pixelsInMatrix) {
pattern1();
pattern2();
}
return dictionary;
}
}
Output:
a b c d e f
t u v w x g
s 6 7 8 y h
r 5 0 9 z i
q 4 3 2 1 j
p o n m l k
Or just for fun, a "snake" pattern implementation:
public class SnakeDictionary extends Dictionary {
private int dictionaryIndex = 0;
private int startY = 0;
public SnakeDictionary(int matrixSize) {
super(matrixSize);
}
#Override
public String[] createPattern() {
int pixelsInMatrix = matrixSize * matrixSize;
while (dictionaryIndex < pixelsInMatrix) {
pattern1();
if (dictionaryIndex < pixelsInMatrix) {
pattern2();
}
}
return dictionary;
}
public void pattern1() {
for (int i = 0; i < matrixSize; i++) {
dictionary[dictionaryIndex] = i + ":" + startY;
dictionaryIndex++;
}
startY++;
}
public void pattern2() {
for (int i = matrixSize - 1; i >= 0; i--) {
dictionary[dictionaryIndex] = i + ":" + startY;
dictionaryIndex++;
}
startY++;
}
}
Output:
a b c d e f
l k j i h g
m n o p q r
x w v u t s
y z 1 2 3 4
0 9 8 7 6 5
This is how the main method looks like:
public static void main(String[] args) {
String sentence = "abcdefghijklmnopqrstuvwxyz1234567890";
String[][] spiral = new String[MATRIX_SIZE][MATRIX_SIZE];
// Dictionary dictionary = new FrameDictionary(MATRIX_SIZE);
Dictionary dictionary = new ClockWiseDictionary(MATRIX_SIZE);
// Dictionary dictionary = new SnakeDictionary(MATRIX_SIZE);
String[] pattern = dictionary.createPattern();
//dictionary.showPattern();
Spiral.fill(sentence, pattern, spiral);
Spiral.show(spiral);
}
You can check/download the complete source code from GitHub.
Hope that it helps you.
Here's a one with a recursive approach,
I am traversing the matrix in right -> down -> left -> up fashion on the boundaries
Then change the size and do the same for inner boundaries,
Matrix M would be a spiral matrix then of character indices
Create spiral matrix C for characters by traversing matrix M.
int m = 5;
int n = 5;
int limit = m * n;
int[][] M = new int[m][n];
public void spiral(int[][] M, int row, int col, int c, int start, int m, int n) {
if (c > limit | row >= m | col >= n)
return;
if (M[row][col] == 0)
M[row][col] = c;
if (row == start) // go right
spiral(M, row, col + 1, c + 1, start, m, n);
if (col == n - 1) // go down
spiral(M, row + 1, col, c + 1, start, m, n);
if (row == m - 1 && col > start) // go left
spiral(M, row, col - 1, c + 1, start, m, n);
if (col == start && row >= start) // go up
spiral(M, row - 1, col, c + 1, start, m, n);
};
spiral(M, 0, 0, 1, 0, m, n);
for (int i = m - 1, x = 1, j = n - 1; i >= m - 2 && j >= n - 2; i--, j--, x++)
spiral(M, x, x, M[x][x - 1] + 1, x, i, j);
This would give you spiral Matrix M
Output:
1 2 3 4 5
16 17 18 19 6
15 24 25 20 7
14 23 22 21 8
13 12 11 10 9
Then create a spiral matrix for characters using matrix M
String string = "hello_world_its_beautiful";
char[][] C = new char[size][size];
for (int i = 0; i < size; i++) {
for (int j = 0; j < size; j++)
C[i][j] = string.charAt(M[i][j] - 1);
}
Output:
h e l l o
_ b e a _
s u l u w
t f i t o
i _ d l r
When can't go straight turn left to walk, this is the theory used in this solution
int dr[] = {0, 1, 0, -1};
int dc[] = {1, 0, -1, 0};
this is used for always move pattern. And curr & curc represent current position and curm represent current move pattern.
public int[][] solve(int r, int c, String s) {
int m[][] = new int[5][5];
int curr = 0, curc = 0;
for (int pos = 0, curm = 0; pos < r*c; pos++) {
m[curr][curc] = (int) s.charAt(pos);
if (curr + dr[curm] < 0 || curr + dr[curm] >= r || curc + dc[curm] < 0 || curc + dc[curm] >= c
|| m[curr + dr[curm]][curc + dc[curm]] != 0)
curm = (curm + 1) % 4;
curr = curr + dr[curm];
curc = curc + dc[curm];
}
return m;
}
Then you can print this way
for (int i = 0; i < r; i++) {
for (int j = 0; j < c; j++) {
System.out.printf("%c ", m[i][j]);
}
System.out.println("");
}
I'm doing a program , it is about an "object" (element) that move in 8way direction based on input.
My questions are : How can I make this element to visit cells of the board (2D Array) only once? How do I make it stay it current position if it can not move according to rules?
Start is position (0,0)
As input it get n-> number of dimension Matrix n x n , direction and t-> seconds. The other thing I don't get how to implement is input seconds, I get input seconds and directions because based on those I have to move the element into this 2D array list.
I've completed mostly of the program. I can give you my code here if you want to check it and give me advice. I'm stuck in it and I need help.
I want to print number of cells that are not visited. My idea is to give a number 0 to all cells that are not visited and the rest that are visited give number 1 as value. Like cell[x][x]=1; And in the end I count all cells that have number 0 as value and print count.
For a valid move in a particular direction, the object must move to a previously unoccupied cell, or else wait until the next direction.
You have defined cell[row][col] to represent the visited state; 0=unvisited, 1=visited. At the end, the number of unvisited cells will be the number of cell elements equal to zero.
To determine if the object should be moved, two checks must be done:
Make sure the next position is a valid matrix position (you are doing this correctly)
Make sure the next position has not yet been visited (will show below)
// Iterate through all k movements
for (i = 0; i < arrTime.length - 1; i++) {
// Move by 1 second until reach next instruction
for (j = arrTime[i]; j < arrTime[i + 1]; j++) {
// South East
if (arrDirection[i].equals("SE")) {
// Check #1 above (a valid matrix position)
if (nCurrRow < n - 1 && nCurrCol < n - 1) {
// Check #2 above (only move into unvisited position)
if (cell[nCurrRow+1][nCurrCol+1] == 0) {
// Move, and record that cell has been visited
nCurrRow++;
nCurrCol++;
cell[nCurrRow][nCurrCol] = 1;
}
}
}
// Other directions following the template for South East
Now to count unvisited cells:
int unVisited=0;
for (int i=0; i<n; i++)
for (int j=0; j<n; j++)
if (cell[i][j] == 0) unVisited++;
EDIT: To describe the two issues with the code.
1) The first issue relates to the j loop. The current j loop is
for(j = arrTime[i]; j <= arrTime[i + 1]; j++)
But must be:
for(j = arrTime[i]; j < arrTime[i + 1]; j++)
The way it was moves the object one more time than it should
2) The final movement was not being performed. The original code was:
arrTime[k] = arrTime[k - 1];
But must be:
arrTime[k] = arrTime[k - 1] + n;
Once you make these two changes, both test cases will work.
EDIT #2: A way to reduce the j loop
Previously, the j loop would run each iteration to the next i value. Here, we short circuit and leave the j loop as soon the object is unable to move. In the second test case, this reduced the number of j iterations from 50 to 28.
for (i = 0; i < arrTime.length - 1; i++) {
boolean canMove = true;
for (j = arrTime[i]; j < arrTime[i + 1] && canMove; j++) {
if (arrDirection[i].equals("SE")) {
if (nCurrRow < n - 1 && nCurrCol < n - 1 && cell[nCurrRow + 1][nCurrCol + 1] == 0) {
nCurrRow++;
nCurrCol++;
cell[nCurrRow][nCurrCol] = 1;
} else
canMove = false;
} else if (arrDirection[i].equals("NE")) {
if (nCurrRow > 0 && nCurrCol < n - 1 && cell[nCurrRow - 1][nCurrCol + 1] == 0) {
nCurrRow--;
nCurrCol++;
cell[nCurrRow][nCurrCol] = 1;
} else
canMove = false;
} ...
EDIT: Looking for test cases that will fail
Looking at your new comments, it is legal that the wind changes when t=1000000 (the maximum allowed value for t).
Consider this very simple test case:
3 2 (3x3 matrix, two wind changes)
0 E (wind blows east right away; robot moves to 0,2)
1000000 S (wind blows south at 1000000s, robot should move to 2,2)
Result should be: 4, but your current code will give 6 because it doesn't accept t=1000000.
If you change the line:
if(seconds >=0 && seconds<1000000 && k >=2 && k<1000000) {
to
if(seconds >=0 && seconds<=1000000 && k >=2 && k<=1000000) {
Then you get the expected answer of 4. It is very likely that at least one test case will push all the input boundaries, including when t=1000000.
EDIT: Faster algorithm #2
The current algorithm can be improved by reducing the number of if statements. There are two important improvements:
1) The former code had to use if to check both a) Valid matrix location b) If the location had been previously visited. You can use one 1 if for this, if you create a border around the matrix, and pre-populate with the value 1. Because of the border, the starting position is 1,1 and not 0,0.
2) Inside the j loop, the code unnecessarily looked up the direction. Now the direction is determined prior to the j loop, making the code inside the j loop much faster.
Also the number of unvisited cells is dynamic; no need to count them after the i loop completes. I changed the type to long because when n gets large, then the number of unvisited cells can be up to n*n which requires a type long. This might solve some of the incorrect answers.
If you study the new code, compare it to the older one, you will see many less if statements. This should scale better under larger test cases. Lets see if some of the test cases that were timing out improve.
public class Robot {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int j = 0;
int i = 0;
int n = in.nextInt();
int k = in.nextInt();
int[] arrTime = new int[k + 1];
String[] arrDirection = new String[k];
for (j = 0; j < k; j++) {
int seconds = in.nextInt();
if (seconds >= 0 && seconds <= 1000000) {
arrTime[j] = seconds;
}
String direction = in.next();
arrDirection[j] = direction;
}
arrTime[k] = arrTime[k - 1] + n;
// Add a border around the matrix with values of 1
int N = n + 2;
int[][] cell = new int[N][N];
for (j = 0; j < cell.length; j++) {
cell[0][j] = 1; // Top border
cell[j][0] = 1; // Left border
cell[j][N - 1] = 1; // Right border
cell[N - 1][j] = 1; // Bottom border
}
int nCurrRow = 1;
int nCurrCol = 1;
cell[nCurrRow][nCurrCol] = 1;
long R = n * n - 1; // Number of remaining unvisited cells
for (i = 0; i < arrTime.length - 1; i++) {
boolean canMove = true;
int xDir = 0;
int yDir = 0;
if (arrDirection[i].equals("SE")) {
xDir = 1;
yDir = 1;
} else if (arrDirection[i].equals("NE")) {
xDir = 1;
yDir = -1;
} else if (arrDirection[i].equals("E")) {
xDir = 1;
} else if (arrDirection[i].equals("N")) {
yDir = -1;
} else if (arrDirection[i].equals("NW")) {
xDir = -1;
yDir = -1;
} else if (arrDirection[i].equals("W")) {
xDir = -1;
} else if (arrDirection[i].equals("SW")) {
xDir = -1;
yDir = 1;
} else if (arrDirection[i].equals("S")) {
yDir = 1;
}
for (j = arrTime[i]; j < arrTime[i + 1] && canMove; j++) {
if (cell[nCurrRow + yDir][nCurrCol + xDir] == 0) {
nCurrRow += yDir;
nCurrCol += xDir;
cell[nCurrRow][nCurrCol] = 1;
R--;
} else
canMove = false;
}
}
//printArray(cell);
System.out.println(R);
in.close();
}
static void printArray(int[][] arr) {
for (int row = 0; row < arr.length; row++) {
for (int col = 0; col < arr.length; col++)
System.out.print(arr[row][col]);
System.out.println();
}
}
}
EDIT #3: More efficient memory usage; using BitSet
I suspect that the higher test cases are failing because the value of n is large in those cases. It is simple to test that when n=100000 that the cell array is too large, causing java memory error. So this code make the cell array very compact by using bitset. Lets see how this code does:
public class Robot {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int j = 0;
int i = 0;
int n = in.nextInt();
int k = in.nextInt();
int[] arrTime = new int[k + 1];
String[] arrDirection = new String[k];
for (j = 0; j < k; j++) {
int seconds = in.nextInt();
if (seconds >= 0 && seconds <= 1000000) {
arrTime[j] = seconds;
}
String direction = in.next();
arrDirection[j] = direction;
}
if (k >= 2 && k < 1000000) {
arrTime[k] = arrTime[k - 1] + n;
}
int N = n + 2;
BitSet[] cell = new BitSet[N];
for (j = 0; j < cell.length; j++)
cell[j] = new BitSet(N);
for (j = 0; j < cell.length; j++) {
set(cell, 0, j);
set(cell, j, 0);
set(cell, j, N-1);
set(cell, N-1, j);
}
int nCurrRow = 1;
int nCurrCol = 1;
set(cell,nCurrRow,nCurrCol);
long R = n * n - 1;
for (i = 0; i < arrTime.length - 1; i++) {
boolean canMove = true;
int xDir = 0;
int yDir = 0;
if (arrDirection[i].equals("SE")) {
xDir = 1;
yDir = 1;
} else if (arrDirection[i].equals("NE")) {
xDir = 1;
yDir = -1;
} else if (arrDirection[i].equals("E")) {
xDir = 1;
} else if (arrDirection[i].equals("N")) {
yDir = -1;
} else if (arrDirection[i].equals("NW")) {
xDir = -1;
yDir = -1;
} else if (arrDirection[i].equals("W")) {
xDir = -1;
} else if (arrDirection[i].equals("SW")) {
xDir = -1;
yDir = 1;
} else if (arrDirection[i].equals("S")) {
yDir = 1;
}
for (j = arrTime[i]; j < arrTime[i + 1] && canMove; j++) {
if (!isSet(cell,nCurrRow + yDir, nCurrCol + xDir)) {
nCurrRow += yDir;
nCurrCol += xDir;
set(cell,nCurrRow,nCurrCol);
R--;
} else
canMove = false;
}
}
//System.out.println();
//printArray(cell);
System.out.println(R);
in.close();
}
static boolean isSet(BitSet[] cell, int x, int y) {
BitSet b = cell[x];
return b.get(y);
}
static void set(BitSet[] cell, int x, int y) {
BitSet b = cell[x];
b.set(y);
}
static void printArray(int[][] arr) {
for (int row = 0; row < arr.length; row++) {
for (int col = 0; col < arr.length; col++)
System.out.print(arr[row][col]);
System.out.println();
}
}
}
EDIT: Attempt to read and process at the same time
This technique sometimes helps with large input. Rather than read all the input, then process in a second phase, process it as you read. In this case there is no need to store the data in two arrays (one for arrivalTime and one for direction). Lets see if this helps at all.
public class Robot2 {
static int nCurrRow = 1;
static int nCurrCol = 1;
static long R = 0;
static int[][] cell;
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int i = 0;
int n = in.nextInt();
int k = in.nextInt();
// Add a border around the matrix with values of 1
int N = n + 2;
cell = new int[N][N];
for (i = 0; i < cell.length; i++) {
cell[0][i] = 1; // Top border
cell[i][0] = 1; // Left border
cell[i][N - 1] = 1; // Right border
cell[N - 1][i] = 1; // Bottom border
}
cell[nCurrRow][nCurrCol] = 1;
R = (long)n * n - 1; // Number of remaining unvisited cells
int sec1 = in.nextInt();
int sec2 = 0;
String dir1 = in.next();
String dir2;
for (i = 0; i < k - 1; i++) {
sec2 = in.nextInt();
dir2 = in.next();
move(sec2-sec1, dir1);
dir1 = dir2;
sec1 = sec2;
}
move(n, dir1);
System.out.println(R);
in.close();
}
static void move(int t, String dir1) {
boolean canMove = true;
int xDir = 0;
int yDir = 0;
if (dir1.equals("SE")) {
xDir = 1;
yDir = 1;
} else if (dir1.equals("NE")) {
xDir = 1;
yDir = -1;
} else if (dir1.equals("E")) {
xDir = 1;
} else if (dir1.equals("N")) {
yDir = -1;
} else if (dir1.equals("NW")) {
xDir = -1;
yDir = -1;
} else if (dir1.equals("W")) {
xDir = -1;
} else if (dir1.equals("SW")) {
xDir = -1;
yDir = 1;
} else if (dir1.equals("S")) {
yDir = 1;
}
for (int j = 0; j < t && canMove; j++) {
if (cell[nCurrRow + yDir][nCurrCol + xDir] == 0) {
nCurrRow += yDir;
nCurrCol += xDir;
cell[nCurrRow][nCurrCol] = 1;
R--;
} else
canMove = false;
}
}
}
EDIT: Combination of BitSet and one phase processing
public class Robot3 {
static int nCurrRow = 1;
static int nCurrCol = 1;
static long R = 0;
static BitSet[] cell;
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
int i = 0;
int n = in.nextInt();
int k = in.nextInt();
// Add a border around the matrix with values of 1
int N = n + 2;
cell = new BitSet[N];
for (i = 0; i < cell.length; i++)
cell[i] = new BitSet(N);
for (i = 0; i < cell.length; i++) {
set(cell, 0, i);
set(cell, i, 0);
set(cell, i, N-1);
set(cell, N-1, i);
}
set(cell, nCurrRow, nCurrCol);
R = (long)n * n - 1; // Number of remaining unvisited cells
int sec1 = in.nextInt();
int sec2 = 0;
String dir1 = in.next();
String dir2;
for (i = 0; i < k - 1; i++) {
sec2 = in.nextInt();
dir2 = in.next();
move(sec2-sec1, dir1);
dir1 = dir2;
sec1 = sec2;
}
move(n, dir1);
System.out.println(R);
in.close();
}
static void move(int t, String dir1) {
boolean canMove = true;
int xDir = 0;
int yDir = 0;
if (dir1.equals("SE")) {
xDir = 1;
yDir = 1;
} else if (dir1.equals("NE")) {
xDir = 1;
yDir = -1;
} else if (dir1.equals("E")) {
xDir = 1;
} else if (dir1.equals("N")) {
yDir = -1;
} else if (dir1.equals("NW")) {
xDir = -1;
yDir = -1;
} else if (dir1.equals("W")) {
xDir = -1;
} else if (dir1.equals("SW")) {
xDir = -1;
yDir = 1;
} else if (dir1.equals("S")) {
yDir = 1;
}
for (int j = 0; j < t && canMove; j++) {
if (!isSet(cell,nCurrRow + yDir, nCurrCol + xDir)) {
nCurrRow += yDir;
nCurrCol += xDir;
set(cell, nCurrRow, nCurrCol);
R--;
} else
canMove = false;
}
}
static boolean isSet(BitSet[] cell, int x, int y) {
return cell[x].get(y);
}
static void set(BitSet[] cell, int x, int y) {
cell[x].set(y);
}
}
EDIT: Replacing Scanner with BufferedReader
There is a chance that Scanner is too slow:
https://www.cpe.ku.ac.th/~jim/java-io.html
This may be worth a try:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.BitSet;
import java.util.StringTokenizer;
public class Robot3 {
static int nCurrRow = 1;
static int nCurrCol = 1;
static long R = 0;
static BitSet[] cell;
public static void main(String[] args) throws IOException {
Reader.init(System.in);
//Scanner in = new Scanner(System.in);
int i = 0;
int n = Reader.nextInt();
int k = Reader.nextInt();
// Add a border around the matrix with values of 1
int N = n + 2;
cell = new BitSet[N];
for (i = 0; i < cell.length; i++)
cell[i] = new BitSet(N);
for (i = 0; i < cell.length; i++) {
set(cell, 0, i);
set(cell, i, 0);
set(cell, i, N-1);
set(cell, N-1, i);
}
set(cell, nCurrRow, nCurrCol);
R = (long)n * n - 1; // Number of remaining unvisited cells
int sec1 = Reader.nextInt();
int sec2 = 0;
String dir1 = Reader.next();
String dir2 = "";
for (i = 0; i < k - 1; i++) {
sec2 = Reader.nextInt();
dir2 = Reader.next();
move(sec2-sec1, dir1);
dir1 = dir2;
sec1 = sec2;
}
move(n, dir1);
System.out.println(R);
}
static void move(int t, String dir1) {
boolean canMove = true;
int xDir = 0;
int yDir = 0;
if (dir1.equals("SE")) {
xDir = 1;
yDir = 1;
} else if (dir1.equals("NE")) {
xDir = 1;
yDir = -1;
} else if (dir1.equals("E")) {
xDir = 1;
} else if (dir1.equals("N")) {
yDir = -1;
} else if (dir1.equals("NW")) {
xDir = -1;
yDir = -1;
} else if (dir1.equals("W")) {
xDir = -1;
} else if (dir1.equals("SW")) {
xDir = -1;
yDir = 1;
} else if (dir1.equals("S")) {
yDir = 1;
}
for (int j = 0; j < t && canMove; j++) {
if (!isSet(cell,nCurrRow + yDir, nCurrCol + xDir)) {
nCurrRow += yDir;
nCurrCol += xDir;
set(cell, nCurrRow, nCurrCol);
R--;
} else
canMove = false;
}
}
static boolean isSet(BitSet[] cell, int x, int y) {
return cell[x].get(y);
}
static void set(BitSet[] cell, int x, int y) {
cell[x].set(y);
}
static class Reader {
static BufferedReader reader;
static StringTokenizer tokenizer;
/** call this method to initialize reader for InputStream */
static void init(InputStream input) {
reader = new BufferedReader(
new InputStreamReader(input) );
tokenizer = new StringTokenizer("");
}
/** get next word */
static String next() throws IOException {
while ( ! tokenizer.hasMoreTokens() ) {
//TODO add check for eof if necessary
tokenizer = new StringTokenizer(
reader.readLine() );
}
return tokenizer.nextToken();
}
static int nextInt() throws IOException {
return Integer.parseInt( next() );
}
static double nextDouble() throws IOException {
return Double.parseDouble( next() );
}
}
}
EDIT: Using a Set to store visited cells
It turns out that when n is large, creating BitSets is an expensive process. About 1.4s was taken just to create the array of BitSets. So arrays don't work, and BitSet creation is slow. After some thought, I realized that a regular HashSet<Long> should work to store visited cells, and it doesn't have the same cost to create it.
public class Robot4 {
static int nCurrRow = 1;
static int nCurrCol = 1;
static long R = 0;
static Set<Long> cell;
static long N;
public static void main(String[] args) throws IOException {
Reader.init(System.in);
int i = 0;
int n = Reader.nextInt();
int k = Reader.nextInt();
// Add a border around the matrix with values of 1
N = n + 2L;
cell = new HashSet<Long>(1000000);
for (i = 0; i < N; i++) {
set(0, i);
set(i, 0);
set(i, n+1);
set(n+1, i);
}
set(nCurrRow, nCurrCol);
R = (long)n * n - 1; // Number of remaining unvisited cells
int sec1 = Reader.nextInt();
int sec2 = 0;
String dir1 = Reader.next();
String dir2 = "";
for (i = 0; i < k - 1; i++) {
sec2 = Reader.nextInt();
dir2 = Reader.next();
move(sec2-sec1, dir1);
dir1 = dir2;
sec1 = sec2;
}
move(n, dir1);
System.out.println(R);
}
static void move(int t, String dir1) {
boolean canMove = true;
int xDir = 0;
int yDir = 0;
if (dir1.equals("SE")) {
xDir = 1;
yDir = 1;
} else if (dir1.equals("NE")) {
xDir = 1;
yDir = -1;
} else if (dir1.equals("E")) {
xDir = 1;
} else if (dir1.equals("N")) {
yDir = -1;
} else if (dir1.equals("NW")) {
xDir = -1;
yDir = -1;
} else if (dir1.equals("W")) {
xDir = -1;
} else if (dir1.equals("SW")) {
xDir = -1;
yDir = 1;
} else if (dir1.equals("S")) {
yDir = 1;
}
for (int j = 0; j < t && canMove; j++) {
if (!isSet(nCurrRow + yDir, nCurrCol + xDir)) {
nCurrRow += yDir;
nCurrCol += xDir;
set(nCurrRow, nCurrCol);
R--;
} else
canMove = false;
}
}
static boolean isSet(int x, int y) {
return cell.contains(indexId(x,y));
}
static void set(int x, int y) {
cell.add(indexId(x,y));
}
static long indexId(int x, int y) {
return x*N+y;
}
static class Reader {
static BufferedReader reader;
static StringTokenizer tokenizer;
/** call this method to initialize reader for InputStream */
static void init(InputStream input) {
reader = new BufferedReader(
new InputStreamReader(input) );
tokenizer = new StringTokenizer("");
}
/** get next word */
static String next() throws IOException {
while ( ! tokenizer.hasMoreTokens() ) {
tokenizer = new StringTokenizer(
reader.readLine() );
}
return tokenizer.nextToken();
}
static int nextInt() throws IOException {
return Integer.parseInt( next() );
}
static double nextDouble() throws IOException {
return Double.parseDouble( next() );
}
}
}
I am trying to split a binary string such that it is a possible to cut string into smallest positive integer, each of them being the power of 5. If there is no such pieces return -1 instead.
public class Power {
public int numsOfWays(String s) {
long[] f = new long[s.length() + 1];
f[0] = 0;
for (int i = 1; i <= s.length(); ++i) {
f[i] = Integer.MAX_VALUE;
for (int j = 1; j <= i; ++j) {
if (s.charAt(j - 1) == '0') {
continue;
}
int num = Integer.parseInt(s.substring(j - 1, i), 2);
if (isPower(num)) {
f[i] = Math.min(f[i], f[j - 1] + 1);
}
}
}
return f[s.length()] == Integer.MAX_VALUE ? -1 : (int) f[s.length()];
}
private boolean isPower(long val) {
if (val == 0) {
return false;
}
int n = (int) (Math.log(val) / Math.log(5));
return Math.pow(5, n) == val;
}
public static void main(String[] args) {
Power b = new Power();
System.out.println(b.numsOfWays("111011100110101100101110111"));
}
}
I am getting this error :-
Exception in thread "main" java.lang.NumberFormatException: For input string: "11101110011010110010111011100000"
at java.lang.NumberFormatException.forInputString(NumberFormatException.java:65)
at java.lang.Integer.parseInt(Integer.java:583)
at abc.Power.numsOfWays(Power.java:13)
at abc.Power.main(Power.java:33)
The Problem is in Line 13 of your code:
The line:
int num = Integer.parseInt(s.substring(j - 1, i), 2);
has a problem because the value is too long for intto handle.
Change it to:
long num = Long.parseLong(s.substring(j - 1, i), 2);
and it should work.
EDIT: The Entire Code looks like this:
public class Power {
public int numsOfWays(String s) {
long[] f = new long[s.length() + 1];
f[0] = 0;
for (int i = 1; i <= s.length(); ++i) {
f[i] = Integer.MAX_VALUE;
for (int j = 1; j <= i; ++j) {
if (s.charAt(j - 1) == '0') {
continue;
}
long num = Long.parseLong(s.substring(j - 1, i), 2);
if (isPower(num)) {
f[i] = Math.min(f[i], f[j - 1] + 1);
}
}
}
return f[s.length()] == Integer.MAX_VALUE ? -1 : (int) f[s.length()];
}
private boolean isPower(long val) {
if (val == 0) {
return false;
}
int n = (int) (Math.log(val) / Math.log(5));
return Math.pow(5, n) == val;
}
public static void main(String[] args) {
Power b = new Power();
System.out.println(b.numsOfWays("111011100110101100101110111")); // 5
System.out.println(b.numsOfWays("11111111111111111111111111111111111111111111111111")); // 50
}
}
And the output is:
5
50
I need to design an algorithm to find the maximum value I can get from (stepping) along an int[] at predefined (step lengths).
Input is the number of times we can "use" each step length; and is given by n2, n5 and n10. n2 means that we move 2 spots in the array, n5 means 5 spots and n10 means 10 spots. We can only move forward (from left to right).
The int[] contains the values 1..5, the size of the array is (n2*2 + n5*5 + n10*10). The starting point is int[0].
Example: we start at int[0]. From here we can move to int[0+2] == 3, int[0+5] == 4 or int[0+10] == 1. Let's move to int[5] since it has the highest value. From int[5] we can move to int[5+2], int[5+5] or int[5+10] etc.
We should move along the array in step lengths of 2, 5 or 10 (and we can only use each step length n2-, n5- and n10-times) in such a manner that we step in the array to collect as high sum as possible.
The output is the maximum value possible.
public class Main {
private static int n2 = 5;
private static int n5 = 3;
private static int n10 = 2;
private static final int[] pokestops = new int[n2 * 2 + n5 * 5 + n10 * 10];
public static void main(String[] args) {
Random rand = new Random();
for (int i = 0; i < pokestops.length; i++) {
pokestops[i] = Math.abs(rand.nextInt() % 5) + 1;
}
System.out.println(Arrays.toString(pokestops));
//TODO: return the maximum value possible
}
}
This is an answer in pseudocode (I didn't run it, but it should work).
fill dp with -1.
dp(int id, int 2stepcount, int 5stepcount, int 10stepcount) {
if(id > array_length - 1) return 0;
if(dp[id][2stepcount][5stepcount][10stepcount] != -1) return dp[id][2stepcount][5stepcount][10stepcount];
else dp[id][2stepcount][5stepcount][10stepcount] = 0;
int 2step = 2stepcount < max2stepcount? dp(id + 2, 2stepcount + 1, 5stepcount, 10stepcount) : 0;
int 5step = 5stepcount < max5stepcount? dp(id + 5, 2stepcount, 5stepcount + 1, 10stepcount) : 0;
int 10step = 10stepcount < max10stepcount? dp(id + 10, 2stepcount, 5stepcount, 10stepcount + 1) : 0;
dp[id][2stepcount][5stepcount][10stepcount] += array[id] + max(2step, 5step, 10step);
return dp[id][2stepcount][5stepcount][10stepcount];
}
Call dp(0,0,0,0) and the answer is in dp[0][0][0][0].
If you wanna go backwards, then you do this:
fill dp with -1.
dp(int id, int 2stepcount, int 5stepcount, int 10stepcount) {
if(id > array_length - 1 || id < 0) return 0;
if(dp[id][2stepcount][5stepcount][10stepcount] != -1) return dp[id][2stepcount][5stepcount][10stepcount];
else dp[id][2stepcount][5stepcount][10stepcount] = 0;
int 2stepForward = 2stepcount < max2stepcount? dp(id + 2, 2stepcount + 1, 5stepcount, 10stepcount) : 0;
int 5stepForward = 5stepcount < max5stepcount? dp(id + 5, 2stepcount, 5stepcount + 1, 10stepcount) : 0;
int 10stepForward = 10stepcount < max10stepcount? dp(id + 10, 2stepcount, 5stepcount, 10stepcount + 1) : 0;
int 2stepBackward = 2stepcount < max2stepcount? dp(id - 2, 2stepcount + 1, 5stepcount, 10stepcount) : 0;
int 5stepBackward = 5stepcount < max5stepcount? dp(id - 5, 2stepcount, 5stepcount + 1, 10stepcount) : 0;
int 10stepBackward = 10stepcount < max10stepcount? dp(id - 10, 2stepcount, 5stepcount, 10stepcount + 1) : 0;
dp[id][2stepcount][5stepcount][10stepcount] += array[id] + max(2stepForward, 5stepForward, 10stepForward, 2stepBackward, 5backForward, 10backForward);
return dp[id][2stepcount][5stepcount][10stepcount];
}
But your paths don't get fulled explored, because we stop if the index is negative or greater than the array size - 1, you can add the wrap around functionality, I guess.
this is a solution but i am not sure how optimal it is !
i did some optimization on it but i think much more can be done
I posted it with the example written in question
import java.util.Arrays;
import java.util.Random;
public class FindMax {
private static int n2 = 5;
private static int n5 = 3;
private static int n10 = 2;
private static final int[] pokestops = new int[n2 * 2 + n5 * 5 + n10 * 10];
public static int findMaxValue(int n2, int n5, int n10, int pos, int[] pokestops) {
System.out.print("|");
if (n2 <= 0 || n5 <= 0 || n10 <= 0) {
return 0;
}
int first;
int second;
int third;
if (pokestops[pos] == 5 || ((first = findMaxValue(n2 - 1, n5, n10, pos + 2, pokestops)) == 5) || ((second = findMaxValue(n2, n5 - 1, n10, pos + 5, pokestops)) == 5) || ((third = findMaxValue(n2, n5, n10 - 1, pos + 10, pokestops)) == 5)) {
return 5;
}
return Math.max(Math.max(Math.max(first, second), third), pokestops[pos]);
}
public static void main(String[] args) {
Random rand = new Random();
for (int i = 0; i < pokestops.length; i++) {
pokestops[i] = Math.abs(rand.nextInt() % 5) + 1;
}
System.out.println(Arrays.toString(pokestops));
//TODO: return the maximum value possible
int max = findMaxValue(n2, n5, n10, 0, pokestops);
System.out.println("");
System.out.println("Max is :" + max);
}
}
You need to calculate following dynamic programming dp[c2][c5][c10][id] - where c2 is number of times you've stepped by 2, c5 - by 5, c10 - by 10 and id - where is your current position. I will write example for c2 and c5 only, it can be easily extended.
int[][][][] dp = new int[n2 + 1][n5 + 1][pokestops.length + 1];
for (int[][][] dp2 : dp) for (int[][] dp3 : dp2) Arrays.fill(dp3, Integer.MAX_VALUE);
dp[0][0][0] = pokestops[0];
for (int c2 = 0; c2 <= n2; c2++) {
for (int c5 = 0; c5 <= n5; c5++) {
for (int i = 0; i < pokestops.length; i++) {
if (c2 < n2 && dp[c2 + 1][c5][i + 2] < dp[c2][c5][i] + pokestops[i + 2]) {
dp[c2 + 1][c5][i + 2] = dp[c2][c5][i] + pokestops[i + 2];
}
if (c5 < n5 && dp[c2][c5 + 1][i + 5] < dp[c2][c5][i] + pokestops[i + 5]) {
dp[c2][c5 + 1][i + 5] = dp[c2][c5][i] + pokestops[i + 5];
}
}
}
}
I know the target language is java, but I like pyhton and conversion will not be complicated.
You can define a 4-dimensional array dp where dp[i][a][b][c] is the maximum value that you can
get starting in position i when you already has a steps of length 2, b of length 5 and c of length
10. I use memoization to get a cleaner code.
import random
values = []
memo = {}
def dp(pos, n2, n5, n10):
state = (pos, n2, n5, n10)
if state in memo:
return memo[state]
res = values[pos]
if pos + 2 < len(values) and n2 > 0:
res = max(res, values[pos] + dp(pos + 2, n2 - 1, n5, n10))
if pos + 5 < len(values) and n5 > 0:
res = max(res, values[pos] + dp(pos + 5, n2, n5 - 1, n10))
if pos + 10 < len(values) and n10 > 0:
res = max(res, values[pos] + dp(pos + 10, n2, n5, n10 - 1))
memo[state] = res
return res
n2, n5, n10 = 5, 3, 2
values = [random.randint(1, 5) for _ in range(n2*2 + n5*5 + n10*10)]
print dp(0, n2, n5, n10)
Suspiciously like homework. Not tested:
import java.util.Arrays;
import java.util.Random;
public class Main {
private static Step[] steps = new Step[]{
new Step(2, 5),
new Step(5, 3),
new Step(10, 2)
};
private static final int[] pokestops = new int[calcLength(steps)];
private static int calcLength(Step[] steps) {
int total = 0;
for (Step step : steps) {
total += step.maxCount * step.size;
}
return total;
}
public static void main(String[] args) {
Random rand = new Random();
for (int i = 0; i < pokestops.length; i++) {
pokestops[i] = Math.abs(rand.nextInt() % 5) + 1;
}
System.out.println(Arrays.toString(pokestops));
int[] initialCounts = new int[steps.length];
for (int i = 0; i < steps.length; i++) {
initialCounts[i] = steps[i].maxCount;
}
Counts counts = new Counts(initialCounts);
Tree base = new Tree(0, null, counts);
System.out.println(Tree.max.currentTotal);
}
static class Tree {
final int pos;
final Tree parent;
private final int currentTotal;
static Tree max = null;
Tree[] children = new Tree[steps.length*2];
public Tree(int pos, Tree parent, Counts counts) {
this.pos = pos;
this.parent = parent;
if (pos < 0 || pos >= pokestops.length || counts.exceeded()) {
currentTotal = -1;
} else {
int tmp = parent == null ? 0 : parent.currentTotal;
this.currentTotal = tmp + pokestops[pos];
if (max == null || max.currentTotal < currentTotal) max = this;
for (int i = 0; i < steps.length; i++) {
children[i] = new Tree(pos + steps[i].size, this, counts.decrement(i));
// uncomment to allow forward-back traversal:
//children[2*i] = new Tree(pos - steps[i].size, this, counts.decrement(i));
}
}
}
}
static class Counts {
int[] counts;
public Counts(int[] counts) {
int[] tmp = new int[counts.length];
System.arraycopy(counts, 0, tmp, 0, counts.length);
this.counts = tmp;
}
public Counts decrement(int i) {
int[] tmp = new int[counts.length];
System.arraycopy(counts, 0, tmp, 0, counts.length);
tmp[i] -= 1;
return new Counts(tmp);
}
public boolean exceeded() {
for (int count : counts) {
if (count < 0) return true;
}
return false;
}
}
static class Step {
int size;
int maxCount;
public Step(int size, int maxCount) {
this.size = size;
this.maxCount = maxCount;
}
}
}
There's a line you can uncomment to allow forward and back movement (I'm sure someone said in the comments that was allowed, but now I see in your post it says forward only...)