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This means it might contain formatting issues, incorrect code, conceptual problems, or other severe issues.
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{{task}} [[Category:Games]]
;The game: Given an N by N square array of zeroes or ones in an initial configuration, and a target configuration of zeroes and ones The task is to transform one to the other in as few moves as possible by inverting whole numbered rows or whole lettered columns at once, as one move.
In an inversion any 1 becomes 0, and any 0 becomes 1 for that whole row or column.
;Task: Create a program to score for the Flipping bits game.
The game should create an original random target configuration and a starting configuration.
Ensure that the starting position is ''never'' the target position.
The target position must be guaranteed as reachable from the starting position. (One possible way to do this is to generate the start position by legal flips from a random target position. The flips will always be reversible back to the target from the given start position).
The number of moves taken so far should be shown.
Show an example of a short game here, on this page, for a 3 by 3 array of bits.
Ada
This solution determines the size of the playground from the command line.
with Ada.Text_IO, Ada.Command_Line, Ada.Numerics.Discrete_Random;
procedure Flip_Bits is
subtype Letter is Character range 'a' .. 'z';
Last_Col: constant letter := Ada.Command_Line.Argument(1)(1);
Last_Row: constant Positive := Positive'Value(Ada.Command_Line.Argument(2));
package Boolean_Rand is new Ada.Numerics.Discrete_Random(Boolean);
Gen: Boolean_Rand.Generator;
type Matrix is array
(Letter range 'a' .. Last_Col, Positive range 1 .. Last_Row) of Boolean;
function Rand_Mat return Matrix is
M: Matrix;
begin
for I in M'Range(1) loop
for J in M'Range(2) loop
M(I,J) := Boolean_Rand.Random(Gen);
end loop;
end loop;
return M;
end Rand_Mat;
function Rand_Mat(Start: Matrix) return Matrix is
M: Matrix := Start;
begin
for I in M'Range(1) loop
if Boolean_Rand.Random(Gen) then
for J in M'Range(2) loop
M(I,J) := not M(I, J);
end loop;
end if;
end loop;
for I in M'Range(2) loop
if Boolean_Rand.Random(Gen) then
for J in M'Range(1) loop
M(J,I) := not M(J, I);
end loop;
end if;
end loop;
return M;
end Rand_Mat;
procedure Print(Message: String; Mat: Matrix) is
package NIO is new Ada.Text_IO.Integer_IO(Natural);
begin
Ada.Text_IO.New_Line;
Ada.Text_IO.Put_Line(Message);
Ada.Text_IO.Put(" ");
for Ch in Matrix'Range(1) loop
Ada.Text_IO.Put(" " & Ch);
end loop;
Ada.Text_IO.New_Line;
for I in Matrix'Range(2) loop
NIO.Put(I, Width => 3);
for Ch in Matrix'Range(1) loop
Ada.Text_IO.Put(if Mat(Ch, I) then " 1" else " 0");
end loop;
Ada.Text_IO.New_Line;
end loop;
end Print;
Current, Target: Matrix;
Moves: Natural := 0;
begin
-- choose random Target and start ("Current") matrices
Boolean_Rand.Reset(Gen);
Target := Rand_Mat;
loop
Current := Rand_Mat(Target);
exit when Current /= Target;
end loop;
Print("Target:", Target);
-- print and modify Current matrix, until it is identical to Target
while Current /= Target loop
Moves := Moves + 1;
Print("Current move #" & Natural'Image(Moves), Current);
Ada.Text_IO.Put_Line("Flip row 1 .." & Positive'Image(Last_Row) &
" or column 'a' .. '" & Last_Col & "'");
declare
S: String := Ada.Text_IO.Get_Line;
function Let(S: String) return Character is (S(S'First));
function Val(Str: String) return Positive is (Positive'Value(Str));
begin
if Let(S) in 'a' .. Last_Col then
for I in Current'Range(2) loop
Current(Let(S), I) := not Current(Let(S), I);
end loop;
else
for I in Current'Range(1) loop
Current(I, Val(S)) := not Current(I, Val(S));
end loop;
end if;
end;
end loop;
-- summarize the outcome
Ada.Text_IO.Put_Line("Done after" & Natural'Image(Moves) & " Moves.");
end Flip_Bits;
{{out}}
For a 3*3-Matrix, the command line input is "c 3".
>./flip_bits c 3
Target:
a b c
1 1 0 1
2 1 0 0
3 1 0 0
Current move # 1
a b c
1 1 0 0
2 1 0 1
3 0 1 0
Flip row 1 .. 3 or column 'a' .. 'c'
3
Current move # 2
a b c
1 1 0 0
2 1 0 1
3 1 0 1
Flip row 1 .. 3 or column 'a' .. 'c'
c
Done after 2 Moves.
AutoHotkey
{{incomplete|AutoHotkey|Understood comment on why output is missing, but this is to make that fact more prominent.}} Uploads are currently disabled, so since a GUI is used, I can't show an example.
size := 3 ; max 26
Gui, Add, Button, , O
Loop, %size%
{
x := chr(A_Index+64)
If x = A
Loop, %size%
Gui, Add, Button, y+4 gFlip, % A_Index
Gui, Add, Button, ym gFlip, % x
Loop, %size%
{
y := A_Index
Random, %x%%y%, 0, 1
Gui, Add, Edit, v%x%%y% ReadOnly, % %x%%y%
}
}
Gui, Add, Text, ym, Moves:`nTarget:
Loop, %size%
{
x := chr(A_Index+64)
Loop, %size%
{
y := A_Index
Gui, Add, Edit, % y=1 ? x="A" ? "xp+0 ym+30" : "x+14 ym+30" : "" . "ReadOnly vt" x y, % t%x%%y% := %x%%y%
}
}Gui, Add, Text, xp-18 ym w30 Right vMoves, % Moves:=1
; randomize
While (i < size)
{
Random, z, 1, %size%
Random, x, 0, 1
z := x ? chr(z+64) : z
Solution .= z ; to cheat
If Flip(z, size)
i := 0 ; ensure we are not at the solution
Else
i++ ; count
}
Gui, Show, NA
Return
Flip(z, size) {
Loop, %size%
{
If z is alpha
GuiControl, , %z%%A_Index%, % %z%%A_Index% := !%z%%A_Index%
Else
{
AIndex := chr(A_Index+64)
GuiControl, , %AIndex%%z%, % %AIndex%%z% := !%AIndex%%z%
}
}
Loop, %size%
{
x := chr(A_Index+64)
Loop, %size%
{
y := A_Index
If (%x%%y% != t%x%%y%)
Return 0
}
}
Return 1
}
Flip:
GuiControl, , Moves, % Moves++
If Flip(A_GuiControl, size)
{
Msgbox Success in %Moves% moves!
Reload
}
Return
ButtonO:
Reload
Return
GuiEscape:
GuiClose:
ExitApp
Return
C
#include <stdio.h> #include <stdlib.h> int i, j; void fliprow(int **b, int sz, int n) { for(i = 0; i < sz; i++) b[n+1][i] = !b[n+1][i]; } void flipcol(int **b, int sz, int n) { for(i = 1; i <= sz; i++) b[i][n] = !b[i][n]; } void initt(int **t, int sz) { for(i = 1; i <= sz; i++) for(j = 0; j < sz; j++) t[i][j] = rand()%2; } void initb(int **t, int **b, int sz) { for(i = 1; i <= sz; i++) for(j = 0; j < sz; j++) b[i][j] = t[i][j]; for(i = 1; i <= sz; i++) fliprow(b, sz, rand()%sz+1); for(i = 0; i < sz; i++) flipcol(b, sz, rand()%sz); } void printb(int **b, int sz) { printf(" "); for(i = 0; i < sz; i++) printf(" %d", i); printf("\n"); for(i = 1; i <= sz; i++) { printf("%d", i-1); for(j = 0; j < sz; j++) printf(" %d", b[i][j]); printf("\n"); } printf("\n"); } int eq(int **t, int **b, int sz) { for(i = 1; i <= sz; i++) for(j = 0; j < sz; j++) if(b[i][j] != t[i][j]) return 0; return 1; } void main() { int sz = 3; int eql = 0; int mov = 0; int **t = malloc(sz*(sizeof(int)+1)); for(i = 1; i <= sz; i++) t[i] = malloc(sz*sizeof(int)); int **b = malloc(sz*(sizeof(int)+1)); for(i = 1; i <= sz; i++) b[i] = malloc(sz*sizeof(int)); char roc; int n; initt(t, sz); initb(t, b, sz); while(eq(t, b, sz)) initb(t, b, sz); while(!eql) { printf("Target: \n"); printb(t, sz); printf("Board: \n"); printb(b, sz); printf("What to flip: "); scanf(" %c", &roc); scanf(" %d", &n); switch(roc) { case 'r': fliprow(b, sz, n); break; case 'c': flipcol(b, sz, n); break; default: perror("Please specify r or c and an number"); break; } printf("Moves Taken: %d\n", ++mov); if(eq(t, b, sz)) { printf("You win!\n"); eql = 1; } } }
{{out}}
Target:
0 1 2
0 1 0 1
1 1 1 1
2 0 0 1
Board:
0 1 2
0 1 0 0
1 1 1 0
2 1 1 1
What to flip: r2
Moves Taken: 1
Target:
0 1 2
0 1 0 1
1 1 1 1
2 0 0 1
Board:
0 1 2
0 1 0 0
1 1 1 0
2 0 0 0
What to flip: c2
Moves Taken: 2
You win!
C++
#include <time.h> #include <iostream> #include <string> typedef unsigned char byte; using namespace std; class flip { public: flip() { field = 0; target = 0; } void play( int w, int h ) { wid = w; hei = h; createField(); gameLoop(); } private: void gameLoop() { int moves = 0; while( !solved() ) { display(); string r; cout << "Enter rows letters and/or column numbers: "; cin >> r; for( string::iterator i = r.begin(); i != r.end(); i++ ) { byte ii = ( *i ); if( ii - 1 >= '0' && ii - 1 <= '9' ) { flipCol( ii - '1' ); moves++; } else if( ii >= 'a' && ii <= 'z' ) { flipRow( ii - 'a' ); moves++; } } } cout << endl << endl << "** Well done! **" << endl << "Used " << moves << " moves." << endl << endl; } void display() { system( "cls" ); output( "TARGET:", target ); output( "YOU:", field ); } void output( string t, byte* f ) { cout << t << endl; cout << " "; for( int x = 0; x < wid; x++ ) cout << " " << static_cast<char>( x + '1' ); cout << endl; for( int y = 0; y < hei; y++ ) { cout << static_cast<char>( y + 'a' ) << " "; for( int x = 0; x < wid; x++ ) cout << static_cast<char>( f[x + y * wid] + 48 ) << " "; cout << endl; } cout << endl << endl; } bool solved() { for( int y = 0; y < hei; y++ ) for( int x = 0; x < wid; x++ ) if( target[x + y * wid] != field[x + y * wid] ) return false; return true; } void createTarget() { for( int y = 0; y < hei; y++ ) for( int x = 0; x < wid; x++ ) if( frnd() < .5f ) target[x + y * wid] = 1; else target[x + y * wid] = 0; memcpy( field, target, wid * hei ); } void flipCol( int c ) { for( int x = 0; x < hei; x++ ) field[c + x * wid] = !field[c + x * wid]; } void flipRow( int r ) { for( int x = 0; x < wid; x++ ) field[x + r * wid] = !field[x + r * wid]; } void calcStartPos() { int flips = ( rand() % wid + wid + rand() % hei + hei ) >> 1; for( int x = 0; x < flips; x++ ) { if( frnd() < .5f ) flipCol( rand() % wid ); else flipRow( rand() % hei ); } } void createField() { if( field ){ delete [] field; delete [] target; } int t = wid * hei; field = new byte[t]; target = new byte[t]; memset( field, 0, t ); memset( target, 0, t ); createTarget(); while( true ) { calcStartPos(); if( !solved() ) break; } } float frnd() { return static_cast<float>( rand() ) / static_cast<float>( RAND_MAX ); } byte* field, *target; int wid, hei; }; int main( int argc, char* argv[] ) { srand( time( NULL ) ); flip g; g.play( 3, 3 ); return system( "pause" ); }
{{out}}
TARGET:
1 2 3
a 0 1 0
b 0 1 0
c 0 1 0
YOU:
1 2 3
a 0 0 0
b 0 0 0
c 1 1 1
Enter rows letters and/or column numbers: 2c
** Well done! **
Used 2 moves.
Clojure
(defn cols [board] (mapv vec (apply map list board))) (defn flipv [v] (mapv #(if (> % 0) 0 1) v)) (defn flip-row [board n] (assoc board n (flipv (get board n)))) (defn flip-col [board n] (cols (flip-row (cols board) n))) (defn play-rand [board n] (if (= n 0) board (let [f (if (= (rand-int 2) 0) flip-row flip-col)] (recur (f board (rand-int (count board))) (dec n))))) (defn rand-binary-vec [size] (vec (take size (repeatedly #(rand-int 2))))) (defn rand-binary-board [size] (vec (take size (repeatedly #(rand-binary-vec size))))) (defn numbers->letters [coll] (map #(char (+ 97 %)) coll)) (defn column-labels [size] (apply str (interpose " " (numbers->letters (range size))))) (defn print-board [board] (let [size (count board)] (println "\t " (column-labels size)) (dotimes [n size] (println (inc n) "\t" (board n))))) (defn key->move [key] (let [start (int (first key)) row-value (try (Long/valueOf key) (catch NumberFormatException e))] (cond (<= 97 start 122) [:col (- start 97)] (<= 65 start 90) [:col (- start 65)] (> row-value 0) [:row (dec row-value)] :else nil))) (defn play-game [target-board current-board n] (println "\nTurn " n) (print-board current-board) (if (= target-board current-board) (println "You win!") (let [move (key->move (read-line)) axis (first move) idx (second move)] (cond (= axis :row) (play-game target-board (flip-row current-board idx) (inc n)) (= axis :col) (play-game target-board (flip-col current-board idx) (inc n)) :else (println "Quitting!"))))) (defn -main "Flip the Bits Game!" [& args] (if-not (empty? args) (let [target-board (rand-binary-board (Long/valueOf (first args)))] (println "Target") (print-board target-board) (play-game target-board (play-rand target-board 3) 0))))
{{out}}
Target
a b c
1 [1 0 1]
2 [0 1 1]
3 [0 1 1]
Turn 0
a b c
1 [1 0 1]
2 [0 1 1]
3 [1 0 0]
3
Turn 1
a b c
1 [1 0 1]
2 [0 1 1]
3 [0 1 1]
You win!
D
{{trans|Python}}
import std.stdio, std.random, std.ascii, std.string, std.range, std.algorithm, std.conv; enum N = 3; // Board side. static assert(N <= lowercase.length); enum columnIDs = lowercase[0 .. N]; alias Board = ubyte[N][N]; void flipBits(ref Board board, in size_t count=1) { foreach (immutable _; 0 .. count) board[uniform(0, $)][uniform(0, $)] ^= 1; } void notRow(ref Board board, in size_t i) pure nothrow { board[i][] ^= 1; } void notColumn(ref Board board, in size_t i) pure nothrow { foreach (ref row; board) row[i] ^= 1; } Board generateGameBoard(in ref Board target) { // board is generated with many flips, to keep parity unchanged. Board board = target; while (board == target) foreach (immutable _; 0 .. 2 * N) [¬Row, ¬Column][uniform(0, 2)](board, uniform(0, N)); return board; } void show(in ref Board board, in string comment) { comment.writeln; writefln(" %-(%c %)", columnIDs); foreach (immutable j, const row; board) writefln(" %2d %-(%d %)", j + 1, row); } void main() { "T prints the target, and Q exits.\n".writeln; // Create target and flip some of its bits randomly. Board target; flipBits(target, uniform(0, N) + 1); show(target, "Target configuration is:"); auto board = generateGameBoard(target); immutable prompt = format(" 1-%d / %s-%s to flip, or T, Q: ", N, columnIDs[0], columnIDs.back); uint move = 1; while (board != target) { show(board, format("\nMove %d:", move)); prompt.write; immutable ans = readln.strip; if (ans.length == 1 && columnIDs.canFind(ans)) { board.notColumn(columnIDs.countUntil(ans)); move++; } else if (iota(1, N + 1).map!text.canFind(ans)) { board.notRow(ans.to!uint - 1); move++; } else if (ans == "T") { show(target, "Target configuration is:"); } else if (ans == "Q") { return "Game stopped.".writeln; } else writefln(" Wrong input '%s'. Try again.\n", ans.take(9)); } "\nWell done!".writeln; }
{{out}}
T prints the target, and Q exits.
Target configuration is:
a b c
1 1 1 1
2 0 0 0
3 0 0 0
Move 1:
a b c
1 1 0 0
2 1 0 0
3 1 0 0
1-3 / a-c to flip, or T, Q: a
Move 2:
a b c
1 0 0 0
2 0 0 0
3 0 0 0
1-3 / a-c to flip, or T, Q: 1
Well done!
Elixir
{{works with|Elixir|1.1}} {{trans|Ruby}}
defmodule Flip_game do @az Enum.map(?a..?z, &List.to_string([&1])) @in2i Enum.concat(Enum.map(1..26, fn i -> {to_string(i), i} end), Enum.with_index(@az) |> Enum.map(fn {c,i} -> {c,-i-1} end)) |> Enum.into(Map.new) def play(n) when n>2 do target = generate_target(n) display(n, "Target: ", target) board = starting_config(n, target) play(n, target, board, 1) end def play(n, target, board, moves) do display(n, "Board: ", board) ans = IO.gets("row/column to flip: ") |> String.strip |> String.downcase new_board = case @in2i[ans] do i when i in 1..n -> flip_row(n, board, i) i when i in -1..-n -> flip_column(n, board, -i) _ -> IO.puts "invalid input: #{ans}" board end if target == new_board do display(n, "Board: ", new_board) IO.puts "You solved the game in #{moves} moves" else IO.puts "" play(n, target, new_board, moves+1) end end defp generate_target(n) do for i <- 1..n, j <- 1..n, into: Map.new, do: {{i, j}, :rand.uniform(2)-1} end defp starting_config(n, target) do Enum.concat(1..n, -1..-n) |> Enum.take_random(n) |> Enum.reduce(target, fn x,acc -> if x>0, do: flip_row(n, acc, x), else: flip_column(n, acc, -x) end) end defp flip_row(n, board, row) do Enum.reduce(1..n, board, fn col,acc -> Map.update!(acc, {row,col}, fn bit -> 1 - bit end) end) end defp flip_column(n, board, col) do Enum.reduce(1..n, board, fn row,acc -> Map.update!(acc, {row,col}, fn bit -> 1 - bit end) end) end defp display(n, title, board) do IO.puts title IO.puts " #{Enum.join(Enum.take(@az,n), " ")}" Enum.each(1..n, fn row -> :io.fwrite "~2w ", [row] IO.puts Enum.map_join(1..n, " ", fn col -> board[{row, col}] end) end) end end Flip_game.play(3)
{{out}}
Target:
a b c
1 1 0 1
2 0 1 1
3 0 1 1
Board:
a b c
1 0 1 1
2 0 1 0
3 1 0 1
row/column to flip: 2
Board:
a b c
1 0 1 1
2 1 0 1
3 1 0 1
row/column to flip: a
Board:
a b c
1 1 1 1
2 0 0 1
3 0 0 1
row/column to flip: b
Board:
a b c
1 1 0 1
2 0 1 1
3 0 1 1
You solved the game in 3 moves
Fortran
This version uses some routines (like rand(), srand() and date_and_time()) from the GNU Fortran compiler. Formats are used to print data on the screen in an appropriate manner. The number of rows (or columns) is a variable and the current implementation allows for any number between 1 and 10. Incorrect inputs are also verified.
!Implemented by Anant Dixit (October 2014)
program flipping_bits
implicit none
character(len=*), parameter :: cfmt = "(A3)", ifmt = "(I3)"
integer :: N, i, j, io, seed(8), moves, input
logical, allocatable :: Brd(:,:), Trgt(:,:)
logical :: solved
double precision :: r
do
write(*,*) 'Enter the number of squares (between 1 and 10) you would like: '
read(*,*,iostat=io) N
if(N.gt.0 .and. N.le.10 .and. io.eq.0) exit
write(*,*) 'Please, an integer between 1 and 10'
end do
allocate(Brd(N,N),Trgt(N,N))
call date_and_time(values=seed)
call srand(1000*seed(7)+seed(8)+60000*seed(6))
do i = 1,N
do j = 1,N
r = rand()
if(r.gt.0.5D0) then
Brd(i,j) = .TRUE.
Trgt(i,j) = .TRUE.
else
Brd(i,j) = .FALSE.
Trgt(i,j) = .FALSE.
end if
end do
end do
! Random moves taken by the program to `create' a target
moves = N
do i = 1,moves
r = 1+2.0D0*dble(N)*rand() - 1.0D-17 !Only to make sure that the number is between 1 and 2N (less than 2N-1)
if(floor(r).le.N) then
do j = 1,N
Trgt(floor(r),j) = .NOT.Trgt(floor(r),j)
end do
else
r = r-N
do j = 1,N
Trgt(j,floor(r)) = .NOT.Trgt(j,floor(r))
end do
end if
end do
!This part checks if the target and the starting configurations are same or not.
do
input = N
call next_move(Brd,Trgt,N,input,solved)
call next_move(Brd,Trgt,N,input,solved)
if(solved) then
r = 1+2.0D0*dble(N)*rand() - 1.0D-17
if(floor(r).le.N) then
do j = 1,N
Trgt(floor(r),j) = .NOT.Trgt(floor(r),j)
end do
else
r = r-N
do j = 1,N
Trgt(j,floor(r)) = .NOT.Trgt(j,floor(r))
end do
end if
else
exit
end if
end do
write(*,*) 'Welcome to the Flipping Bits game!'
write(*,*) 'You have the current position'
moves = 0
call display(Brd,Trgt,N)
input = N
do
write(*,*) 'Number of moves so far:', moves
write(*,*) 'Select the column or row you wish to flip: '
read(*,*,iostat=io) input
if(io.eq.0 .and. input.gt.0 .and. input.le.(2*N)) then
moves = moves+1
write(*,*) 'Flipping ', input
call next_move(Brd,Trgt,N,input,solved)
call display(Brd,Trgt,N)
if(solved) exit
else
write(*,*) 'Please enter a valid column or row number. To quit, press Ctrl+C!'
end if
end do
write(*,*) 'Congratulations! You finished the game!'
write(*,ifmt,advance='no') moves
write(*,*) ' moves were taken by you!!'
deallocate(Brd,Trgt)
end program
subroutine display(Brd,Trgt,N)
implicit none
!arguments
integer :: N
logical :: Brd(N,N), Trgt(N,N)
!local
character(len=*), parameter :: cfmt = "(A3)", ifmt = "(I3)"
integer :: i, j
write(*,*) 'Current Configuration: '
do i = 0,N
if(i.eq.0) then
write(*,cfmt,advance='no') 'R/C'
write(*,cfmt,advance='no') ' | '
else
write(*,ifmt,advance='no') i
end if
end do
write(*,*)
do i = 0,N
if(i.eq.0) then
do j = 0,N+2
write(*,cfmt,advance='no') '---'
end do
else
write(*,ifmt,advance='no') i+N
write(*,cfmt,advance='no') ' | '
do j = 1,N
if(Brd(i,j)) then
write(*,ifmt,advance='no') 1
else
write(*,ifmt,advance='no') 0
end if
end do
end if
write(*,*)
end do
write(*,*)
write(*,*)
write(*,*) 'Target Configuration'
do i = 0,N
if(i.eq.0) then
write(*,cfmt,advance='no') 'R/C'
write(*,cfmt,advance='no') ' | '
else
write(*,ifmt,advance='no') i
end if
end do
write(*,*)
do i = 0,N
if(i.eq.0) then
do j = 0,N+2
write(*,cfmt,advance='no') '---'
end do
else
write(*,ifmt,advance='no') i+N
write(*,cfmt,advance='no') ' | '
do j = 1,N
if(Trgt(i,j)) then
write(*,ifmt,advance='no') 1
else
write(*,ifmt,advance='no') 0
end if
end do
end if
write(*,*)
end do
write(*,*)
write(*,*)
end subroutine
subroutine next_move(Brd,Trgt,N,input,solved)
implicit none
!arguments
integer :: N, input
logical :: Brd(N,N), Trgt(N,N), solved
!others
integer :: i,j
if(input.gt.N) then
input = input-N
do i = 1,N
Brd(input,i) = .not.Brd(input,i)
end do
else
do i = 1,N
Brd(i,input) = .not.Brd(i,input)
end do
end if
solved = .TRUE.
do i = 1,N
do j = 1,N
if( (.not.Brd(i,j).and.Trgt(i,j)) .or. (Brd(i,j).and..not.Trgt(i,j)) ) then
solved = .FALSE.
exit
end if
end do
if(.not.solved) exit
end do
end subroutine
Example:
./flipping_bits
Enter the number of squares (between 1 and 10) you would like:
3
Welcome to the Flipping Bits game!
You have the current position
Current Configuration:
R/C | 1 2 3
------------
4 | 1 0 0
5 | 1 1 0
6 | 0 0 0
Target Configuration
R/C | 1 2 3
------------
4 | 1 1 1
5 | 1 0 1
6 | 1 0 0
Select the column or row you wish to flip:
2
Current Configuration:
R/C | 1 2 3
------------
4 | 1 1 0
5 | 1 0 0
6 | 0 1 0
Target Configuration
R/C | 1 2 3
------------
4 | 1 1 1
5 | 1 0 1
6 | 1 0 0
Select the column or row you wish to flip:
3
Current Configuration:
R/C | 1 2 3
------------
4 | 1 1 1
5 | 1 0 1
6 | 0 1 1
Target Configuration
R/C | 1 2 3
------------
4 | 1 1 1
5 | 1 0 1
6 | 1 0 0
Select the column or row you wish to flip:
6
Current Configuration:
R/C | 1 2 3
------------
4 | 1 1 1
5 | 1 0 1
6 | 1 0 0
Target Configuration
R/C | 1 2 3
------------
4 | 1 1 1
5 | 1 0 1
6 | 1 0 0
Congratulations! You finished the game!
3 moves were taken by you!!
Go
package main import ( "fmt" "math/rand" "time" ) func main() { rand.Seed(time.Now().UnixNano()) var n int = 3 // Change to define board size var moves int = 0 a := make([][]int, n) for i := range a { a[i] = make([]int, n) for j := range a { a[i][j] = rand.Intn(2) } } b := make([][]int, len(a)) for i := range a { b[i] = make([]int, len(a[i])) copy(b[i], a[i]) } for i := rand.Intn(100); i > 0 || compareSlices(a, b) == true; i-- { b = flipCol(b, rand.Intn(n) + 1) b = flipRow(b, rand.Intn(n) + 1) } fmt.Println("Target:") drawBoard(a) fmt.Println("\nBoard:") drawBoard(b) var rc rune var num int for { for{ fmt.Printf("\nFlip row (r) or column (c) 1 .. %d (c1, ...): ", n) _, err := fmt.Scanf("%c%d", &rc, &num) if err != nil { fmt.Println(err) continue } if num < 1 || num > n { fmt.Println("Wrong command!") continue } break } switch rc { case 'c': fmt.Printf("Column %v will be flipped\n", num) flipCol(b, num) case 'r': fmt.Printf("Row %v will be flipped\n", num) flipRow(b, num) default: fmt.Println("Wrong command!") continue } moves++ fmt.Println("\nMoves taken: ", moves) fmt.Println("Target:") drawBoard(a) fmt.Println("\nBoard:") drawBoard(b) if compareSlices(a, b) { fmt.Printf("Finished. You win with %d moves!\n", moves) break } } } func drawBoard (m [][]int) { fmt.Print(" ") for i := range m { fmt.Printf("%d ", i+1) } for i := range m { fmt.Println() fmt.Printf("%d ", i+1) for _, val := range m[i] { fmt.Printf(" %d", val) } } fmt.Print("\n") } func flipRow(m [][]int, row int) ([][]int) { for j := range m { m[row-1][j] ^= 1 } return m } func flipCol(m [][]int, col int) ([][]int) { for j := range m { m[j][col-1] ^= 1 } return m } func compareSlices(m [][]int, n[][]int) bool { o := true for i := range m { for j := range m { if m[i][j] != n[i][j] { o = false } } } return o }
{{out}}
Target:
1 2 3
1 0 1 1
2 0 1 1
3 1 1 1
Board:
1 2 3
1 1 0 0
2 1 0 0
3 1 1 1
Flip row (r) or column (c) 1 .. 3 (c1, ...): r1
Row 1 will be flipped
Moves taken: 1
Target:
1 2 3
1 0 1 1
2 0 1 1
3 1 1 1
Board:
1 2 3
1 0 1 1
2 1 0 0
3 1 1 1
Flip row (r) or column (c) 1 .. 3 (c1, ...): r2
Row 2 will be flipped
Moves taken: 2
Target:
1 2 3
1 0 1 1
2 0 1 1
3 1 1 1
Board:
1 2 3
1 0 1 1
2 0 1 1
3 1 1 1
Finished. You win with 2 moves!
Haskell
Maximum game size is 9x9 because the array indices are the characters 1 until 9.
import Data.List (intersperse) import System.Random (randomRIO) import Data.Array (Array, (!), (//), array, bounds) import Control.Monad (zipWithM_, replicateM, foldM, when) type Board = Array (Char, Char) Int flp :: Int -> Int flp 0 = 1 flp 1 = 0 numRows, numCols :: Board -> String numRows t = let ((a, _), (b, _)) = bounds t in [a .. b] numCols t = let ((_, a), (_, b)) = bounds t in [a .. b] flipRow, flipCol :: Board -> Char -> Board flipRow t r = let e = [ (ix, flp (t ! ix)) | ix <- zip (repeat r) (numCols t) ] in t // e flipCol t c = let e = [ (ix, flp (t ! ix)) | ix <- zip (numRows t) (repeat c) ] in t // e printBoard :: Board -> IO () printBoard t = do let rows = numRows t cols = numCols t f 0 = '0' f 1 = '1' p r xs = putStrLn $ [r, ' '] ++ intersperse ' ' (map f xs) putStrLn $ " " ++ intersperse ' ' cols zipWithM_ p rows [ [ t ! (y, x) | x <- cols ] | y <- rows ] -- create a random goal board, and flip rows and columns randomly -- to get a starting board setupGame :: Char -> Char -> IO (Board, Board) setupGame sizey sizex -- random cell value at (row, col) = do let mk rc = (\v -> (rc, v)) <$> randomRIO (0, 1) rows = ['a' .. sizey] cols = ['1' .. sizex] goal <- array (('a', '1'), (sizey, sizex)) <$> mapM mk [ (r, c) | r <- rows , c <- cols ] start <- do let change :: Board -> Int -> IO Board -- flip random row change t 0 = flipRow t <$> randomRIO ('a', sizey) -- flip random col change t 1 = flipCol t <$> randomRIO ('1', sizex) numMoves <- randomRIO (3, 15) -- how many flips (3 - 15) -- determine if rows or cols are flipped moves <- replicateM numMoves $ randomRIO (0, 1) -- make changes and get a starting board foldM change goal moves if goal /= start -- check if boards are different then return (goal, start) -- all ok, return both boards else setupGame sizey sizex -- try again main :: IO () main = do putStrLn "Select a board size (1 - 9).\nPress any other key to exit." sizec <- getChar when (sizec `elem` ['1' .. '9']) $ do let size = read [sizec] - 1 (g, s) <- setupGame (['a' ..] !! size) (['1' ..] !! size) turns g s 0 where turns goal current moves = do putStrLn "\nGoal:" printBoard goal putStrLn "\nBoard:" printBoard current when (moves > 0) $ putStrLn $ "\nYou've made " ++ show moves ++ " moves so far." putStrLn $ "\nFlip a row (" ++ numRows current ++ ") or a column (" ++ numCols current ++ ")" v <- getChar if v `elem` numRows current then check $ flipRow current v else if v `elem` numCols current then check $ flipCol current v else tryAgain where check t = if t == goal then putStrLn $ "\nYou've won in " ++ show (moves + 1) ++ " moves!" else turns goal t (moves + 1) tryAgain = do putStrLn ": Invalid row or column." turns goal current moves
{{Out}}
Select a board size (1 - 9).
Press any other key to exit.
3
Goal:
1 2 3
a 1 1 0
b 1 0 0
c 0 0 0
Board:
1 2 3
a 1 0 0
b 1 1 0
c 1 0 1
Flip a row (abc) or a column (123)
2
Goal:
1 2 3
a 1 1 0
b 1 0 0
c 0 0 0
Board:
1 2 3
a 1 1 0
b 1 0 0
c 1 1 1
You've made 1 moves so far.
Flip a row (abc) or a column (123)
c
You've won in 2 moves!
J
Using J's command line as the game ui:
start=:3 :0
Moves=:0
N=:i.y
Board=: ?2$~,~y
'fr fc'=. (2,y)$}.#:(+?&.<:@<:)2x^2*y
End=: fr~:fc~:"1 Board
Board;End
)
abc=:'abcdefghij'
move=:3 :0
fc=. N e.abc i. y ([-.-.)abc
fr=. N e._-.~_ "."0 abc-.~":y
Board=: fr~:fc~:"1 Board
smoutput (":Moves=:Moves++/fr,fc),' moves'
if. Board-:End do.
'yes'
else.
Board;End
end.
)
Example:
start 3
┌─────┬─────┐
│1 1 1│1 0 1│
│1 1 0│0 1 1│
│1 0 0│0 0 1│
└─────┴─────┘
move 'b2'
2 moves
┌─────┬─────┐
│1 0 1│1 0 1│
│1 0 0│0 1 1│
│0 0 1│0 0 1│
└─────┴─────┘
move '1'
3 moves
yes
Note that any size game may be generated but this version only recognizes column flips for the first ten columns.
Java
[[File:Flipping_bits_java.gif|200px|thumb|right]] {{works with|Java|8}}
import java.awt.*; import java.awt.event.*; import java.util.*; import javax.swing.*; public class FlippingBitsGame extends JPanel { final int maxLevel = 7; final int minLevel = 3; private Random rand = new Random(); private int[][] grid, target; private Rectangle box; private int n = maxLevel; private boolean solved = true; FlippingBitsGame() { setPreferredSize(new Dimension(640, 640)); setBackground(Color.white); setFont(new Font("SansSerif", Font.PLAIN, 18)); box = new Rectangle(120, 90, 400, 400); startNewGame(); addMouseListener(new MouseAdapter() { @Override public void mousePressed(MouseEvent e) { if (solved) { startNewGame(); } else { int x = e.getX(); int y = e.getY(); if (box.contains(x, y)) return; if (x > box.x && x < box.x + box.width) { flipCol((x - box.x) / (box.width / n)); } else if (y > box.y && y < box.y + box.height) flipRow((y - box.y) / (box.height / n)); if (solved(grid, target)) solved = true; printGrid(solved ? "Solved!" : "The board", grid); } repaint(); } }); } void startNewGame() { if (solved) { n = (n == maxLevel) ? minLevel : n + 1; grid = new int[n][n]; target = new int[n][n]; do { shuffle(); for (int i = 0; i < n; i++) target[i] = Arrays.copyOf(grid[i], n); shuffle(); } while (solved(grid, target)); solved = false; printGrid("The target", target); printGrid("The board", grid); } } void printGrid(String msg, int[][] g) { System.out.println(msg); for (int[] row : g) System.out.println(Arrays.toString(row)); System.out.println(); } boolean solved(int[][] a, int[][] b) { for (int i = 0; i < n; i++) if (!Arrays.equals(a[i], b[i])) return false; return true; } void shuffle() { for (int i = 0; i < n * n; i++) { if (rand.nextBoolean()) flipRow(rand.nextInt(n)); else flipCol(rand.nextInt(n)); } } void flipRow(int r) { for (int c = 0; c < n; c++) { grid[r][c] ^= 1; } } void flipCol(int c) { for (int[] row : grid) { row[c] ^= 1; } } void drawGrid(Graphics2D g) { g.setColor(getForeground()); if (solved) g.drawString("Solved! Click here to play again.", 180, 600); else g.drawString("Click next to a row or a column to flip.", 170, 600); int size = box.width / n; for (int r = 0; r < n; r++) for (int c = 0; c < n; c++) { g.setColor(grid[r][c] == 1 ? Color.blue : Color.orange); g.fillRect(box.x + c * size, box.y + r * size, size, size); g.setColor(getBackground()); g.drawRect(box.x + c * size, box.y + r * size, size, size); g.setColor(target[r][c] == 1 ? Color.blue : Color.orange); g.fillRect(7 + box.x + c * size, 7 + box.y + r * size, 10, 10); } } @Override public void paintComponent(Graphics gg) { super.paintComponent(gg); Graphics2D g = (Graphics2D) gg; g.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON); drawGrid(g); } public static void main(String[] args) { SwingUtilities.invokeLater(() -> { JFrame f = new JFrame(); f.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); f.setTitle("Flipping Bits Game"); f.setResizable(false); f.add(new FlippingBitsGame(), BorderLayout.CENTER); f.pack(); f.setLocationRelativeTo(null); f.setVisible(true); }); } }
The target
[0, 1, 0]
[0, 1, 0]
[0, 1, 0]
The board
[0, 1, 1]
[0, 1, 1]
[0, 1, 1]
Solved!
[0, 1, 0]
[0, 1, 0]
[0, 1, 0]
JavaScript
function numOfRows(board) { return board.length; } function numOfCols(board) { return board[0].length; } function boardToString(board) { // First the top-header var header = ' '; for (var c = 0; c < numOfCols(board); c++) header += c + ' '; // Then the side-header + board var sideboard = []; for (var r = 0; r < numOfRows(board); r++) { sideboard.push(r + ' [' + board[r].join(' ') + ']'); } return header + '\n' + sideboard.join('\n'); } function flipRow(board, row) { for (var c = 0; c < numOfCols(board); c++) { board[row][c] = 1 - board[row][c]; } } function flipCol(board, col) { for (var r = 0; r < numOfRows(board); r++) { board[r][col] = 1 - board[r][col]; } } function playFlippingBitsGame(rows, cols) { rows = rows | 3; cols = cols | 3; var targetBoard = []; var manipulatedBoard = []; // Randomly generate two identical boards. for (var r = 0; r < rows; r++) { targetBoard.push([]); manipulatedBoard.push([]); for (var c = 0; c < cols; c++) { targetBoard[r].push(Math.floor(Math.random() * 2)); manipulatedBoard[r].push(targetBoard[r][c]); } } // Naive-scramble one of the boards. while (boardToString(targetBoard) == boardToString(manipulatedBoard)) { var scrambles = rows * cols; while (scrambles-- > 0) { if (0 == Math.floor(Math.random() * 2)) { flipRow(manipulatedBoard, Math.floor(Math.random() * rows)); } else { flipCol(manipulatedBoard, Math.floor(Math.random() * cols)); } } } // Get the user to solve. alert( 'Try to match both boards.\n' + 'Enter `r<num>` or `c<num>` to manipulate a row or col or enter `q` to quit.' ); var input = '', letter, num, moves = 0; while (boardToString(targetBoard) != boardToString(manipulatedBoard) && input != 'q') { input = prompt( 'Target:\n' + boardToString(targetBoard) + '\n\n\n' + 'Board:\n' + boardToString(manipulatedBoard) ); try { letter = input.charAt(0); num = parseInt(input.slice(1)); if (letter == 'q') break; if (isNaN(num) || (letter != 'r' && letter != 'c') || (letter == 'r' && num >= rows) || (letter == 'c' && num >= cols) ) { throw new Error(''); } if (letter == 'r') { flipRow(manipulatedBoard, num); } else { flipCol(manipulatedBoard, num); } moves++; } catch(e) { alert('Uh-oh, there seems to have been an input error'); } } if (input == 'q') { alert('~~ Thanks for playing ~~'); } else { alert('Completed in ' + moves + ' moves.'); } }
Try to match both boards.
Enter `r<num>` or `c<num>` to manipulate a row or col or enter `q` to quit.
Target:
0 1 2
0 [0 1 1]
1 [1 0 0]
2 [1 0 1]
Board:
0 1 2
0 [0 0 0]
1 [1 1 1]
2 [0 0 1]
r2
Target:
0 1 2
0 [0 1 1]
1 [1 0 0]
2 [1 0 1]
Board:
0 1 2
0 [0 0 0]
1 [0 0 0]
2 [0 0 1]
c0
Target:
0 1 2
0 [0 1 1]
1 [1 0 0]
2 [1 0 1]
Board:
0 1 2
0 [1 0 0]
1 [1 0 0]
2 [1 0 1]
r0
Completed in 3 moves.
Julia
module FlippingBitsGame using Printf, Random import Base.size, Base.show, Base.== struct Configuration M::BitMatrix end Base.size(c::Configuration) = size(c.M) function Base.show(io::IO, conf::Configuration) M = conf.M nrow, ncol = size(M) print(io, " " ^ 3) for c in 1:ncol @printf(io, "%3i", c) end println(io, "\n", " " ^ 4, "-" ^ 3ncol) for r in 1:nrow @printf(io, "%2i |", r) for c in 1:ncol @printf(io, "%2c ", ifelse(M[r, c], 'T', 'F')) end println(io) end return nothing end Base.:(==)(a::Configuration, b::Configuration) = a.M == b.M struct Index{D} i::Int end const ColIndex = Index{:C} const RowIndex = Index{:R} function flipbits!(conf::Configuration, c::ColIndex) col = @view conf.M[:, c.i] @. col = !col return conf end function flipbits!(conf::Configuration, r::RowIndex) row = @view conf.M[r.i, :] @. row = !row return conf end randomconfig(nrow::Integer, ncol::Integer) = Configuration(bitrand(nrow, ncol)) function randommoves!(conf::Configuration, nflips::Integer) nrow, ncol = size(conf) for _ in Base.OneTo(nflips) if rand() < 0.5 flipbits!(conf, ColIndex(rand(1:ncol))) else flipbits!(conf, RowIndex(rand(1:nrow))) end end return conf end function play() nrow::Int, ncol::Int = 0, 0 while nrow < 2 || ncol < 2 print("Insert the size of the matrix (nrow [> 1] *space* ncol [> 1]):") nrow, ncol = parse.(Int, split(readline())) end mat = randomconfig(nrow, ncol) obj = deepcopy(mat) randommoves!(obj, 100) nflips = 0 while mat != obj println("\n", nflips, " flips until now.") println("Current configuration:") println(mat) println("Objective configuration:") println(obj) print("Insert R[ind] to flip row, C[ind] to flip a column, Q to quit: ") line = readline() input = match(r"([qrc])(\d+)"i, line) if input ≢ nothing && all(input.captures .≢ nothing) dim = Symbol(uppercase(input.captures[1])) ind = Index{dim}(parse(Int, input.captures[2])) flipbits!(mat, ind) nflips += 1 elseif occursin("q", line) println("\nSEE YOU SOON!") return else println("\nINPUT NOT VALID, RETRY!\n") end end println("\nSUCCED! In ", nflips, " flips.") println(mat) return end end # module FlippingBitsGame using .FlippingBitsGame FlippingBitsGame.play()
{{output}}
Insert the size of the matrix (nrow [> 1] *space* ncol [> 1]):3 3
0 flips until now.
Current configuration:
1 2 3
---------
1 | F F F
2 | T F T
3 | F F T
Objective configuration:
1 2 3
---------
1 | F F T
2 | F T T
3 | F F F
Insert R[ind] to flip row, C[ind] to flip a column, Q to quit: c3
1 flips until now.
Current configuration:
1 2 3
---------
1 | F F T
2 | T F F
3 | F F F
Objective configuration:
1 2 3
---------
1 | F F T
2 | F T T
3 | F F F
Insert R[ind] to flip row, C[ind] to flip a column, Q to quit: r2
SUCCED! In 2 flips.
1 2 3
---------
1 | F F T
2 | F T T
3 | F F F
Kotlin
// version 1.1.3 import java.util.Random val rand = Random() val target = Array(3) { IntArray(3) { rand.nextInt(2) } } val board = Array(3) { IntArray(3) } fun flipRow(r: Int) { for (c in 0..2) board[r][c] = if (board[r][c] == 0) 1 else 0 } fun flipCol(c: Int) { for (r in 0..2) board[r][c] = if (board[r][c] == 0) 1 else 0 } /** starting from the target we make 9 random row or column flips */ fun initBoard() { for (i in 0..2) { for (j in 0..2) board[i][j] = target[i][j] } repeat(9) { val rc = rand.nextInt(2) if (rc == 0) flipRow(rand.nextInt(3)) else flipCol(rand.nextInt(3)) } } fun printBoard(label: String, isTarget: Boolean = false) { val a = if (isTarget) target else board println("$label:") println(" | a b c") println("---------") for (r in 0..2) { print("${r + 1} |") for (c in 0..2) print(" ${a[r][c]}") println() } println() } fun gameOver(): Boolean { for (r in 0..2) { for (c in 0..2) if (board[r][c] != target[r][c]) return false } return true } fun main(args: Array<String>) { // initialize board and ensure it differs from the target i.e. game not already over! do { initBoard() } while(gameOver()) printBoard("TARGET", true) printBoard("OPENING BOARD") var flips = 0 do { var isRow = true var n = -1 do { print("Enter row number or column letter to be flipped: ") val input = readLine()!! val ch = if (input.isNotEmpty()) input[0].toLowerCase() else '0' if (ch !in "123abc") { println("Must be 1, 2, 3, a, b or c") continue } if (ch in '1'..'3') { n = ch.toInt() - 49 } else { isRow = false n = ch.toInt() - 97 } } while (n == -1) flips++ if (isRow) flipRow(n) else flipCol(n) val plural = if (flips == 1) "" else "S" printBoard("\nBOARD AFTER $flips FLIP$plural") } while (!gameOver()) val plural = if (flips == 1) "" else "s" println("You've succeeded in $flips flip$plural") }
{{out}} A sample game:
TARGET:
| a b c
---------
1 | 0 1 0
2 | 0 1 0
3 | 1 1 1
OPENING BOARD:
| a b c
---------
1 | 1 0 0
2 | 0 1 1
3 | 0 0 1
Enter row number or column letter to be flipped: 1
BOARD AFTER 1 FLIP:
| a b c
---------
1 | 0 1 1
2 | 0 1 1
3 | 0 0 1
Enter row number or column letter to be flipped: 3
BOARD AFTER 2 FLIPS:
| a b c
---------
1 | 0 1 1
2 | 0 1 1
3 | 1 1 0
Enter row number or column letter to be flipped: c
BOARD AFTER 3 FLIPS:
| a b c
---------
1 | 0 1 0
2 | 0 1 0
3 | 1 1 1
You've succeeded in 3 flips!
Lua
target, board, moves, W, H = {}, {}, 0, 3, 3 function getIndex( i, j ) return i + j * W - W end function flip( d, r ) function invert( a ) if a == 1 then return 0 end return 1 end local idx if d == 1 then for i = 1, W do idx = getIndex( i, r ) board[idx] = invert( board[idx] ) end else for i = 1, H do idx = getIndex( r, i ) board[idx] = invert( board[idx] ) end end moves = moves + 1 end function createTarget() target, board = {}, {} local idx for j = 1, H do for i = 1, W do idx = getIndex( i, j ) if math.random() < .5 then target[idx] = 0 else target[idx] = 1 end board[idx] = target[idx] end end for i = 1, 103 do if math.random() < .5 then flip( 1, math.random( H ) ) else flip( 2, math.random( W ) ) end end moves = 0 end function getUserInput() io.write( "Input row and/or column: " ); local r = io.read() local a for i = 1, #r do a = string.byte( r:sub( i, i ):lower() ) if a >= 48 and a <= 57 then flip( 2, a - 48 ) end if a >= 97 and a <= string.byte( 'z' ) then flip( 1, a - 96 ) end end end function solved() local idx for j = 1, H do for i = 1, W do idx = getIndex( i, j ) if target[idx] ~= board[idx] then return false end end end return true end function display() local idx io.write( "\nTARGET\n " ) for i = 1, W do io.write( string.format( "%d ", i ) ) end; print() for j = 1, H do io.write( string.format( "%s ", string.char( 96 + j ) ) ) for i = 1, W do idx = getIndex( i, j ) io.write( string.format( "%d ", target[idx] ) ) end; io.write( "\n" ) end io.write( "\nBOARD\n " ) for i = 1, W do io.write( string.format( "%d ", i ) ) end; print() for j = 1, H do io.write( string.format( "%s ", string.char( 96 + j ) ) ) for i = 1, W do idx = getIndex( i, j ) io.write( string.format( "%d ", board[idx] ) ) end; io.write( "\n" ) end io.write( string.format( "Moves: %d\n", moves ) ) end function play() while true do createTarget() repeat display() getUserInput() until solved() display() io.write( "Very well!\nPlay again(Y/N)? " ); if io.read():lower() ~= "y" then return end end end --[[entry point]]-- math.randomseed( os.time() ) play()
{{out}}
TARGET
1 2 3
a 0 0 0
b 0 0 0
c 1 0 0
BOARD
1 2 3
a 1 1 0
b 0 0 1
c 0 1 0
Moves: 0
Input row and/or column: 3ac
TARGET
1 2 3
a 0 0 0
b 0 0 0
c 1 0 0
BOARD
1 2 3
a 0 0 0
b 0 0 0
c 1 0 0
Moves: 3
Very well!
Play again(Y/N)?
Maple
Click [http://maplecloud.maplesoft.com/application.jsp?appId=5721146878066688 here] to play this game online.
FlippingBits := module()
export ModuleApply;
local gameSetup, flip, printGrid, checkInput;
local board;
gameSetup := proc(n)
local r, c, i, toFlip, target;
randomize():
target := Array( 1..n, 1..n, rand(0..1) );
board := copy(target);
for i to rand(3..9)() do
toFlip := [0, 0];
toFlip[1] := StringTools[Random](1, "rc");
toFlip[2] := convert(rand(1..n)(), string);
flip(toFlip);
end do;
return target;
end proc;
flip := proc(line)
local i, lineNum;
lineNum := parse(op(line[2..-1]));
for i to upperbound(board)[1] do
if line[1] = "R" then
board[lineNum, i] := `if`(board[lineNum, i] = 0, 1, 0);
else
board[i, lineNum] := `if`(board[i, lineNum] = 0, 1, 0);
end if;
end do;
return NULL;
end proc;
printGrid := proc(grid)
local r, c;
for r to upperbound(board)[1] do
for c to upperbound(board)[1] do
printf("%a ", grid[r, c]);
end do;
printf("\n");
end do;
printf("\n");
return NULL;
end proc;
checkInput := proc(input)
try
if input[1] = "" then
return false, "";
elif not input[1] = "R" and not input[1] = "C" then
return false, "Please start with 'r' or 'c'.";
elif not type(parse(op(input[2..-1])), posint) then
error;
elif parse(op(input[2..-1])) < 1 or parse(op(input[2..-1])) > upperbound(board)[1] then
return false, "Row or column number too large or too small.";
end if;
catch:
return false, "Please indicate a row or column number."
end try;
return true, "";
end proc;
ModuleApply := proc(n)
local gameOver, toFlip, target, answer, restart;
restart := true;
while restart do
target := gameSetup(n);
while ArrayTools[IsEqual](target, board) do
target := gameSetup(n);
end do;
gameOver := false;
while not gameOver do
printf("The Target:\n");
printGrid(target);
printf("The Board:\n");
printGrid(board);
if ArrayTools[IsEqual](target, board) then
printf("You win!! Press enter to play again or type END to quit.\n\n");
answer := StringTools[UpperCase](readline());
gameOver := true;
if answer = "END" then
restart := false
end if;
else
toFlip := ["", ""];
while not checkInput(toFlip)[1] and not gameOver do
ifelse (not op(checkInput(toFlip)[2..-1]) = "", printf("%s\n\n", op(checkInput(toFlip)[2..-1])), NULL);
printf("Please enter a row or column to flip. (ex: r1 or c2) Press enter for a new game or type END to quit.\n\n");
answer := StringTools[UpperCase](readline());
if answer = "END" or answer = "" then
gameOver := true;
if answer = "END" then
restart := false;
end if;
end if;
toFlip := [substring(answer, 1), substring(answer, 2..-1)];
end do;
if not gameOver then
flip(toFlip);
end if;
end if;
end do;
end do;
printf("Game Over!\n");
end proc;
end module:
FlippingBits(3);
{{out}}
The Target:
1 1 1
1 1 1
1 0 1
The Board:
0 1 1
0 1 1
0 0 1
Please enter a row or column to flip. (ex: r1 or c2) Press enter for a new game or type END to quit.
The Target:
1 1 1
1 1 1
1 0 1
The Board:
1 1 1
1 1 1
1 0 1
You win!! Press enter to play again or type END to quit.
MATLAB
Size can be passed in as an argument or entered after a prompt.
function FlippingBitsGame(n) % Play the flipping bits game on an n x n array % Generate random target array fprintf('Welcome to the Flipping Bits Game!\n') if nargin < 1 n = input('What dimension array should we use? '); end Tar = logical(randi([0 1], n)); % Generate starting array by randomly flipping rows or columns Cur = Tar; while all(Cur(:) == Tar(:)) nFlips = randi([3*n max(10*n, 100)]); randDim = randi([0 1], nFlips, 1); randIdx = randi([1 n], nFlips, 1); for k = 1:nFlips if randDim(k) Cur(randIdx(k), :) = ~Cur(randIdx(k), :); else Cur(:, randIdx(k)) = ~Cur(:, randIdx(k)); end end end % Print rules fprintf('Given a %d x %d logical array,\n', n, n) fprintf('and a target array configuration,\n') fprintf('attempt to transform the array to the target\n') fprintf('by inverting the bits in a whole row or column\n') fprintf('at once in as few moves as possible.\n') fprintf('Enter the corresponding letter to invert a column,\n') fprintf('or the corresponding number to invert a row.\n') fprintf('0 will reprint the target array, and no entry quits.\n\n') fprintf('Target:\n') PrintArray(Tar) % Play until player wins or quits move = true; nMoves = 0; while ~isempty(move) && any(Cur(:) ~= Tar(:)) fprintf('Move %d:\n', nMoves) PrintArray(Cur) move = lower(input('Enter move: ', 's')); if length(move) > 1 fprintf('Invalid move, try again\n') elseif move r = str2double(move); if isnan(r) c = move-96; if c > n || c < 1 fprintf('Invalid move, try again\n') else Cur(:, c) = ~Cur(:, c); nMoves = nMoves+1; end else if r > n || r < 0 fprintf('Invalid move, try again\n') elseif r == 0 fprintf('Target:\n') PrintArray(Tar) else Cur(r, :) = ~Cur(r, :); nMoves = nMoves+1; end end end end if all(Cur(:) == Tar(:)) fprintf('You win in %d moves! Try not to flip out!\n', nMoves) else fprintf('Quitting? The challenge a bit much for you?\n') end end function PrintArray(A) [nRows, nCols] = size(A); fprintf(' ') fprintf(' %c', (1:nCols)+96) fprintf('\n') for r = 1:nRows fprintf('%8d%s\n', r, sprintf(' %d', A(r, :))) end fprintf('\n') end
{{out}} Normal play and winning:
Welcome to the Flipping Bits Game!
What dimension array should we use? 3
Given a 3 x 3 logical array,
and a target array configuration,
attempt to transform the array to the target
by inverting the bits in a whole row or column
at once in as few moves as possible.
Enter the corresponding letter to invert a column,
or the corresponding number to invert a row.
0 will reprint the target array, and no entry quits.
Target:
a b c
1 0 0 0
2 0 1 0
3 0 0 0
Move 0:
a b c
1 1 1 1
2 1 0 1
3 1 1 1
Enter move: a
Move 1:
a b c
1 0 1 1
2 0 0 1
3 0 1 1
Enter move: b
Move 2:
a b c
1 0 0 1
2 0 1 1
3 0 0 1
Enter move: c
You win in 3 moves! Try not to flip out!
Bad input, reprinting target, and quitting:
Welcome to the Flipping Bits Game!
What dimension array should we use? 3
Given a 3 x 3 logical array,
and a target array configuration,
attempt to transform the array to the target
by inverting the bits in a whole row or column
at once in as few moves as possible.
Enter the corresponding letter to invert a column,
or the corresponding number to invert a row.
0 will reprint the target array, and no entry quits.
Target:
a b c
1 0 0 1
2 1 0 0
3 1 0 0
Move 0:
a b c
1 0 0 0
2 0 1 0
3 0 1 0
Enter move: a
Move 1:
a b c
1 1 0 0
2 1 1 0
3 1 1 0
Enter move: b
Move 2:
a b c
1 1 1 0
2 1 0 0
3 1 0 0
Enter move: 0
Target:
a b c
1 0 0 1
2 1 0 0
3 1 0 0
Move 2:
a b c
1 1 1 0
2 1 0 0
3 1 0 0
Enter move: hello
Invalid move, try again
Move 2:
a b c
1 1 1 0
2 1 0 0
3 1 0 0
Enter move: d
Invalid move, try again
Move 2:
a b c
1 1 1 0
2 1 0 0
3 1 0 0
Enter move: 4
Invalid move, try again
Move 2:
a b c
1 1 1 0
2 1 0 0
3 1 0 0
Enter move:
Quitting? The challenge a bit much for you?
MiniScript
// Flipping Bits game.
// Transform a start grid to an end grid by flipping rows or columns.
size = 3
board = []
goal = []
for i in range(1,size)
row = []
for j in range(1,size)
row.push (rnd > 0.5)
end for
board.push row
goal.push row[0:]
end for
flipRow = function(n)
for j in range(0, size-1)
board[n-1][j] = not board[n-1][j]
end for
end function
flipCol = function(n)
for i in range(0, size-1)
board[i][n-1] = not board[i][n-1]
end for
end function
flipAny = function(s)
s = s[0].upper
if s >= "A" then flipCol s.code - 64 else flipRow val(s)
end function
for scramble in range(20)
if rnd < 0.5 then flipRow ceil(rnd*size) else flipCol ceil(rnd*size)
end for
solved = function()
for i in range(0, size-1)
for j in range(0, size-1)
if board[i][j] != goal[i][j] then return false
end for
end for
return true
end function
moveCount = 0
while true
print " CURRENT:" + " "*(4+size*3) + "GOAL:"
for i in range(1,size)
s = i + " " + str(board[i-1])
s = s + " "*(3+size*3) + str(goal[i-1])
print s
end for
s = " "
for i in range(1,size)
s = s + char(64+i) + " "
end for
print s
if solved then break
moveCount = moveCount + 1
inp = input("Move " + moveCount + "? ")
flipAny(inp)
end while
print "You did it!"
{{out}}
CURRENT: GOAL:
1 [0, 0, 0] [0, 1, 1]
2 [1, 0, 1] [1, 1, 0]
3 [1, 1, 0] [0, 1, 0]
A B C
Move 1? 1
CURRENT: GOAL:
1 [1, 1, 1] [0, 1, 1]
2 [1, 0, 1] [1, 1, 0]
3 [1, 1, 0] [0, 1, 0]
A B C
Move 2? a
CURRENT: GOAL:
1 [0, 1, 1] [0, 1, 1]
2 [0, 0, 1] [1, 1, 0]
3 [0, 1, 0] [0, 1, 0]
A B C
Move 3? 2
CURRENT: GOAL:
1 [0, 1, 1] [0, 1, 1]
2 [1, 1, 0] [1, 1, 0]
3 [0, 1, 0] [0, 1, 0]
A B C
You did it!
OCaml
module FlipGame = struct type t = bool array array let make side = Array.make_matrix side side false let flipcol b n = for i = 0 to (Array.length b - 1) do b.(n).(i) <- not b.(n).(i) done let fliprow b n = for i = 0 to (Array.length b - 1) do b.(i).(n) <- not b.(i).(n) done let randflip b = let n = Random.int (Array.length b - 1) in match Random.bool () with | true -> fliprow b n | false -> flipcol b n let rec game side steps = let start, target = make side, make side in for i = 1 to steps do randflip start; randflip target done; if start = target then game side steps (* try again *) else (start, target) let print b = for i = 0 to Array.length b - 1 do for j = 0 to Array.length b - 1 do Printf.printf " %d " (if b.(j).(i) then 1 else 0) done; print_newline () done; print_newline () let draw_game board target = print_endline "TARGET"; print target; print_endline "BOARD"; print board end let play () = let module G = FlipGame in let board, target = G.game 3 10 in let steps = ref 0 in while board <> target do G.draw_game board target; print_string "> "; flush stdout; incr steps; match String.split_on_char ' ' (read_line ()) with | ["row"; row] -> (match int_of_string_opt row with | Some n -> G.fliprow board n | None -> print_endline "(nothing happens)") | ["col"; col] -> (match int_of_string_opt col with | Some n -> G.flipcol board n | None -> print_endline "(nothing happens)") | _ -> () done; G.draw_game board target; Printf.printf "\n\nGame solved in %d steps\n" !steps let () = if not !Sys.interactive then (Random.self_init (); play ())
{{out}}
$ ocamlc flipgame.ml -o flipgame
$ ./flipgame
TARGET
0 0 1
0 0 1
1 1 0
BOARD
0 1 0
1 0 1
0 1 0
> col 1
TARGET
0 0 1
0 0 1
1 1 0
BOARD
0 0 0
1 1 1
0 0 0
> row 2
TARGET
0 0 1
0 0 1
1 1 0
BOARD
0 0 0
1 1 1
1 1 1
> col 2
TARGET
0 0 1
0 0 1
1 1 0
BOARD
0 0 1
1 1 0
1 1 0
> row 1
TARGET
0 0 1
0 0 1
1 1 0
BOARD
0 0 1
0 0 1
1 1 0
Game solved in 4 steps
Perl
Pass the size of the puzzle on the command line. It defaults to 4. You can play any size game between 2 and 26. While playing, the game accepts anything which looks like valid rows or columns, and disregards any irrelevant text in between.
#!perl use strict; use warnings qw(FATAL all); my $n = shift(@ARGV) || 4; if( $n < 2 or $n > 26 ) { die "You can't play a size $n game\n"; } my $n2 = $n*$n; my (@rows, @cols); for my $i ( 0 .. $n-1 ) { my $row = my $col = "\x00" x $n2; vec($row, $i * $n + $_, 8) ^= 1 for 0 .. $n-1; vec($col, $i + $_ * $n, 8) ^= 1 for 0 .. $n-1; push @rows, $row; push @cols, $col; } my $goal = "0" x $n2; int(rand(2)) or (vec($goal, $_, 8) ^= 1) for 0 .. $n2-1; my $start = $goal; { for(@rows, @cols) { $start ^= $_ if int rand 2; } redo if $start eq $goal; } my @letters = ('a'..'z')[0..$n-1]; sub to_strings { my $board = shift; my @result = join(" ", " ", @letters); for( 0 .. $n-1 ) { my $res = sprintf("%2d ",$_+1); $res .= join " ", split //, substr $board, $_*$n, $n; push @result, $res; } \@result; } my $fmt; my ($stext, $etext) = ("Starting board", "Ending board"); my $re = join "|", reverse 1 .. $n, @letters; my $moves_so_far = 0; while( 1 ) { my ($from, $to) = (to_strings($start), to_strings($goal)); unless( $fmt ) { my $len = length $from->[0]; $len = length($stext) if $len < length $stext; $fmt = join($len, "%", "s%", "s\n"); } printf $fmt, $stext, $etext; printf $fmt, $from->[$_], $to->[$_] for 0 .. $n; last if $start eq $goal; INPUT_LOOP: { printf "Move #%s: Type one or more row numbers and/or column letters: ", $moves_so_far+1; my $input = <>; die unless defined $input; my $did_one; for( $input =~ /($re)/gi ) { $did_one = 1; if( /\d/ ) { $start ^= $rows[$_-1]; } else { $_ = ord(lc) - ord('a'); $start ^= $cols[$_]; } ++$moves_so_far; } redo INPUT_LOOP unless $did_one; } } print "You won after $moves_so_far moves.\n";
{{out}}
$ perl FlippingBitsGame.pl 3
Starting board Ending board
a b c a b c
1 0 0 1 1 1 1 1
2 0 1 1 2 1 0 1
3 0 0 0 3 0 0 1
Move #1: Type one or more row numbers and/or column letters: 12
Starting board Ending board
a b c a b c
1 1 1 0 1 1 1 1
2 1 0 0 2 1 0 1
3 0 0 0 3 0 0 1
Move #3: Type one or more row numbers and/or column letters: c
Starting board Ending board
a b c a b c
1 1 1 1 1 1 1 1
2 1 0 1 2 1 0 1
3 0 0 1 3 0 0 1
You won after 3 moves.
The same game could have been won after typing 1 2 c in any order, with multiple lines or even "12c" on a single line.
Perl 6
{{Works with|rakudo|2016.11}} Pass in a parameter to set the square size for the puzzle. (Defaults to 4.) Arbitrarily limited to between 1 and 26. Yes, you can choose to solve a 1 element square puzzle, but it won't be very challenging. Accepts upper or lower case letters for columns. Disregards any out-of-range indices. Enter a blank or 0 (zero) to exit.
sub MAIN ($square = 4) {
say "{$square}? Seriously?" and exit if $square < 1 or $square > 26;
my %bits = map { $_ => %( map { $_ => 0 }, ('A' .. *)[^ $square] ) },
(1 .. *)[^ $square];
scramble %bits;
my $target = build %bits;
scramble %bits until build(%bits) ne $target;
display($target, %bits);
my $turns = 0;
while my $flip = prompt "Turn {++$turns}: Flip which row / column? " {
flip $flip.match(/\w/).uc, %bits;
if display($target, %bits) {
say "Hurray! You solved it in $turns turns.";
last;
}
}
}
sub display($goal, %hash) {
shell('clear');
say "Goal\n$goal\nYou";
my $this = build %hash;
say $this;
return ($goal eq $this);
}
sub flip ($a, %hash) {
given $a {
when any(keys %hash) {
%hash{$a}{$_} = %hash{$a}{$_} +^ 1 for %hash{$a}.keys
};
when any(keys %hash{'1'}) {
%hash{$_}{$a} = %hash{$_}{$a} +^ 1 for %hash.keys
};
}
}
sub build (%hash) {
my $string = ' ';
$string ~= sprintf "%2s ", $_ for sort keys %hash{'1'};
$string ~= "\n";
for %hash.keys.sort: +* -> $key {
$string ~= sprintf "%2s ", $key;
$string ~= sprintf "%2s ", %hash{$key}{$_} for sort keys %hash{$key};
$string ~= "\n";
};
$string
}
sub scramble(%hash) {
my @keys = keys %hash;
@keys.push: | keys %hash{'1'};
flip $_, %hash for @keys.pick( @keys/2 );
}
A sample 3 x 3 game might look like this:
Goal
A B C
1 1 1 0
2 0 0 1
3 1 1 0
You
A B C
1 0 0 0
2 1 1 1
3 1 1 1
Turn 1: Flip which row / column? 2
Goal
A B C
1 1 1 0
2 0 0 1
3 1 1 0
You
A B C
1 0 0 0
2 0 0 0
3 1 1 1
Turn 2: Flip which row / column? 1
Goal
A B C
1 1 1 0
2 0 0 1
3 1 1 0
You
A B C
1 1 1 1
2 0 0 0
3 1 1 1
Turn 3: Flip which row / column? c
Goal
A B C
1 1 1 0
2 0 0 1
3 1 1 0
You
A B C
1 1 1 0
2 0 0 1
3 1 1 0
Hurray! You solved it in 3 turns.
Phix
integer w, h
string board, target
procedure new_board()
board = ""
h = prompt_number("Enter number of rows(1..9):",{1,9})
w = prompt_number("Enter number of columns(1..26):",{1,26})
string line = ""
for j=1 to w do line &= 'A'+j-1 end for
board = " "&line&"\n"
for i=1 to h do
line = '0'+i&" "
for j=1 to w do line &= '0'+rand(2)-1 end for
board &= line&"\n"
end for
end procedure
procedure show_bt()
sequence sb = split(board,'\n'),
st = split(target,'\n')
printf(1,"board:%s target:%s\n",{sb[1],st[1]})
for i=2 to length(sb)-1 do
printf(1," %s %s\n",{sb[i],st[i]})
end for
end procedure
procedure flip(integer ch, bool bShow=true)
integer k
if ch>='A' and ch<='A'+w-1 then
-- flip_column
ch = ch-'A'+1
for i=1 to h do
k = 2+ch+i*(w+3)
board[k] = '0'+'1'-board[k]
end for
k = 2+ch
elsif ch>='1' and ch<='0'+h then
-- flip_row
ch -= '0'
for i=1 to w do
k = 2+i+(ch)*(w+3)
board[k] = '0'+'1'-board[k]
end for
k = 1+(ch)*(w+3)
else
?9/0 -- sanity check
end if
if bShow then
integer wasch = board[k]
board[k] = '*'
show_bt()
board[k] = wasch
end if
end procedure
procedure scramble_board()
integer lim = 10000
while 1 do
for i=1 to lim do
if rand(2)=1 then
flip('A'-1+rand(w),false)
else
flip('0'+rand(h),false)
end if
end for
if board!=target then exit end if
lim -= 1 -- sidestep the degenerate 1x1 case
end while
end procedure
function solve_board()
-- not guaranteed optimal (the commented-out length check clogs it on larger boards)
string original = board, moves
sequence next = {{0,board,""}},
legal_moves = tagset('A'+w-1,'A')&tagset('0'+h,'1')
atom t2 = time()+2 -- in case board is illegal/unsolveable
while time()<t2 do
for lm=1 to length(legal_moves) do
integer c = legal_moves[lm]
{?,board,moves} = next[1]
flip(c,false)
moves &= c
if board = target then
board = original
return moves
end if
next = append(next,{sum(sq_eq(board,target)),board,moves})
for i=length(next) to 3 by -1 do
if next[i][1]<=next[i-1][1] then exit end if
-- if length(next[i][3])>length(next[i-1][3]) then exit end if
{next[i-1],next[i]} = {next[i],next[i-1]}
end for
end for
next = next[2..$]
end while
board = original
return 0
end function
constant ESC = #1B
procedure main()
integer moves = 0, solves = 0, ch
bool took_hint = false
new_board()
target = board
scramble_board()
show_bt()
object soln = solve_board()
while 1 do
string solve = iff(string(soln)?sprintf(" solveable in %d,",length(soln)):"")
printf(1,"moves taken %d,%s enter your move (A..%c or 1..%c) or ?:",{moves,solve,'A'+w-1,'0'+h})
while 1 do
ch = upper(wait_key())
if ch<=#FF then exit end if -- (ignore control keys)
end while
printf(1,"%c\n",ch)
if (ch>='A' and ch<='A'+w-1)
or (ch>='1' and ch<='0'+h) then
flip(ch)
if board=target then
printf(1,"\nWell %s!\n\n",{iff(took_hint?"cheated","done")})
exit
end if
moves += 1
soln = iff(string(soln) and ch=soln[1]?soln[2..$]:solve_board())
elsif string(soln) and
(ch='H' -- (nb consumed above if w>=8)
or ch='.') then
took_hint = true
printf(1,"hint: %c\n",soln[1])
elsif ch='Q' -- (nb consumed above if w>=17)
or ch=ESC then
exit
elsif string(soln) and
(ch='S' -- (nb consumed above if w>=19)
or ch='!') then
for i=1 to length(soln) do
printf(1,"auto-solving, move %d:\n",i)
flip(soln[i])
sleep(2)
end for
exit
else
puts(1,"press ")
if string(soln) then
puts(1,"'!' (or 's' if width<19) to solve the board automatically,\n")
puts(1," '.' (or 'h' if width<8) to show hint,\n")
end if
puts(1," escape (or 'q' if width<17) to quit\n")
end if
end while
end procedure
main()
{{out}}
Enter number of rows(1..9):2
Enter number of columns(1..26):2
board: AB target: AB
1 11 1 10
2 00 2 10
moves taken 0, solveable in 2, enter your move (A..B or 1..2) or ?:?
press '!' (or 's' if width<19) to solve the board automatically,
'.' (or 'h' if width<8) to show hint,
escape (or 'q' if width<17) to quit
moves taken 0, solveable in 2, enter your move (A..B or 1..2) or ?:H
hint: A
moves taken 0, solveable in 2, enter your move (A..B or 1..2) or ?:A
board: *B target: AB
1 01 1 10
2 10 2 10
moves taken 1, solveable in 1, enter your move (A..B or 1..2) or ?:H
hint: 1
moves taken 1, solveable in 1, enter your move (A..B or 1..2) or ?:1
board: AB target: AB
* 10 1 10
2 10 2 10
Well cheated!
An auto solve:
Enter number of rows(1..9):2
Enter number of columns(1..26):2
board: AB target: AB
1 10 1 00
2 10 2 11
moves taken 0, solveable in 2, enter your move (A..B or 1..2) or ?:!
auto-solving, move 1:
board: *B target: AB
1 00 1 00
2 00 2 11
auto-solving, move 2:
board: AB target: AB
1 00 1 00
* 11 2 11
The maximum board size is 9x26:
Enter number of rows(1..9):9
Enter number of columns(1..26):26
board: ABCDEFGHIJKLMNOPQRSTUVWXYZ target: ABCDEFGHIJKLMNOPQRSTUVWXYZ
1 11010000101000110010101101 1 00010011000001110010101001
2 10000011010000110100001100 2 10111111000110001011110111
3 00100011010011100110111101 3 11100000111010100110111001
4 00101110001111100001001000 4 00010010011001011110110011
5 01001001111011101011100011 5 10001010010010101011100111
6 01010001101111101110111011 6 10010010000110101110111111
7 10011000011101100100000111 7 01011011110100100100000011
8 01111100111110000001100101 8 01000000101000111110011110
9 00111000101100111000011011 9 11111011000101111000011111
moves taken 0, solveable in 11, enter your move (A..Z or 1..9) or ?:
And the minimum is 1x1:
Enter number of rows(1..9):1
Enter number of columns(1..26):1
board: A target: A
1 0 1 1
moves taken 0, solveable in 1, enter your move (A..A or 1..1) or ?:1
board: A target: A
* 1 1 1
Well done!
PL/I
(subscriptrange, stringrange, stringsize):
flip: procedure options (main);
declare n fixed binary;
put skip list ('This is the bit-flipping game. What size of board do you want?');
get list (n);
put skip list
('Your task is to change your board so as match the board on the right (the objective)');
begin;
declare initial(n,n) bit (1), objective(n,n) bit (1);
declare (i, j, k, move) fixed binary;
declare ch character(1);
declare alphabet character (26) initial ('abcdefghijklmnopqrstuvwxyz');
on subrg
begin; put skip list ('Your row or column ' || trim(ch) || ' is out of range'); stop; end;
initial, objective = iand(random()*99, 1) = 1;
/* Set up the objective array: */
do i = 1 to n-1;
j = random()*n+1; objective(j,*) = ^objective(j,*);
j = random()*n+1; objective(*,j) = ^objective(*,j);
end;
do move = 0 by 1;
put skip edit ( center('You', n*3), center('The objective', 3*n+4) ) (x(3), a);
put skip edit ( (substr(alphabet, i, 1) do i = 1 to n) ) (x(5), (n) a(3));
put edit ( (substr(alphabet, i, 1) do i = 1 to n) ) (x(3), (n) a(3));
do i = 1 to n;
put skip edit (i, initial(i,*), objective(i,*)) ((n+1) f(3), x(3), (n) F(3));
end;
if all(initial = objective) then leave;
put skip(2) list
('Please type a row number or column letter whose bits you want to flip: ');
get edit (ch) (L); put edit (ch) (a);
k = index(alphabet, ch);
if k > 0 then
initial(*, k) = ^initial(*,k); /* Flip column k */
else
initial(ch,*) = ^initial(ch,*); /* Flip row ch */
end;
put skip(2) list ('Congratulations. You solved it in ' || trim(move) || ' moves.');
end;
end flip;
{{out}}
This is the bit-flipping game. What size of board do you want?
Your task is to change your board so as match the board on the right (the objective)
You The objective
a b c a b c
1 1 1 1 0 1 1
2 0 0 0 1 0 0
3 1 1 1 1 0 0
Please type a row number or column letter whose bits you want to flip:
3
You The objective
a b c a b c
1 1 1 1 0 1 1
2 0 0 0 1 0 0
3 0 0 0 1 0 0
Please type a row number or column letter whose bits you want to flip:
a
You The objective
a b c a b c
1 0 1 1 0 1 1
2 1 0 0 1 0 0
3 1 0 0 1 0 0
Congratulations. You solved it in 2 moves.
Python
""" Given a %i by %i sqare array of zeroes or ones in an initial configuration, and a target configuration of zeroes and ones The task is to transform one to the other in as few moves as possible by inverting whole numbered rows or whole lettered columns at once. In an inversion any 1 becomes 0 and any 0 becomes 1 for that whole row or column. """ from random import randrange from copy import deepcopy from string import ascii_lowercase try: # 2to3 fix input = raw_input except: pass N = 3 # N x N Square arrray board = [[0]* N for i in range(N)] def setbits(board, count=1): for i in range(count): board[randrange(N)][randrange(N)] ^= 1 def shuffle(board, count=1): for i in range(count): if randrange(0, 2): fliprow(randrange(N)) else: flipcol(randrange(N)) def pr(board, comment=''): print(str(comment)) print(' ' + ' '.join(ascii_lowercase[i] for i in range(N))) print(' ' + '\n '.join(' '.join(['%2s' % j] + [str(i) for i in line]) for j, line in enumerate(board, 1))) def init(board): setbits(board, count=randrange(N)+1) target = deepcopy(board) while board == target: shuffle(board, count=2 * N) prompt = ' X, T, or 1-%i / %s-%s to flip: ' % (N, ascii_lowercase[0], ascii_lowercase[N-1]) return target, prompt def fliprow(i): board[i-1][:] = [x ^ 1 for x in board[i-1] ] def flipcol(i): for row in board: row[i] ^= 1 if __name__ == '__main__': print(__doc__ % (N, N)) target, prompt = init(board) pr(target, 'Target configuration is:') print('') turns = 0 while board != target: turns += 1 pr(board, '%i:' % turns) ans = input(prompt).strip() if (len(ans) == 1 and ans in ascii_lowercase and ascii_lowercase.index(ans) < N): flipcol(ascii_lowercase.index(ans)) elif ans and all(ch in '0123456789' for ch in ans) and 1 <= int(ans) <= N: fliprow(int(ans)) elif ans == 'T': pr(target, 'Target configuration is:') turns -= 1 elif ans == 'X': break else: print(" I don't understand %r... Try again. " "(X to exit or T to show target)\n" % ans[:9]) turns -= 1 else: print('\nWell done!\nBye.')
{{out}}
Given a 3 by 3 sqare array of zeroes or ones in an initial
configuration, and a target configuration of zeroes and ones
The task is to transform one to the other in as few moves as
possible by inverting whole numbered rows or whole lettered
columns at once.
In an inversion any 1 becomes 0 and any 0 becomes 1 for that
whole row or column.
Target configuration is:
a b c
1 0 1 0
2 0 0 0
3 0 0 0
1:
a b c
1 1 0 0
2 0 0 1
3 0 0 1
X, T, or 1-3 / a-c to flip: 1
2:
a b c
1 0 1 1
2 0 0 1
3 0 0 1
X, T, or 1-3 / a-c to flip: c
Well done!
Bye.
;Showing bad/other inputs:
Target configuration is:
a b c
1 0 0 0
2 0 0 0
3 0 0 1
1:
a b c
1 1 0 1
2 0 1 0
3 0 1 1
X, T, or 1-3 / a-c to flip: 3
2:
a b c
1 1 0 1
2 0 1 0
3 1 0 0
X, T, or 1-3 / a-c to flip: 4
I don't understand '4'... Try again. (X to exit or T to show target)
2:
a b c
1 1 0 1
2 0 1 0
3 1 0 0
X, T, or 1-3 / a-c to flip: c
3:
a b c
1 1 0 0
2 0 1 1
3 1 0 1
X, T, or 1-3 / a-c to flip: d
I don't understand 'd'... Try again. (X to exit or T to show target)
3:
a b c
1 1 0 0
2 0 1 1
3 1 0 1
X, T, or 1-3 / a-c to flip: T
Target configuration is:
a b c
1 0 0 0
2 0 0 0
3 0 0 1
3:
a b c
1 1 0 0
2 0 1 1
3 1 0 1
X, T, or 1-3 / a-c to flip: X
QB64
restart DO displayStatus IF currentB$ = targetB$ THEN 'game done! PRINT " Congratulations, done in"; moveCount; " moves." PRINT "": PRINT " Press y for yes, if you want to start over > "; yes$ = getKey$: PRINT yes$: _DELAY .4: vcls IF yes$ = "y" THEN restart ELSE nomore = -1 ELSE 'get next move m$ = " ": PRINT WHILE INSTR(legalMoves$, m$) = 0 PRINT " Press a lettered column or a numbered row to flip (or 0,q,?,!) > "; m$ = getKey$: PRINT m$: _DELAY .4 IF m$ = "!" THEN showSolution = -1: m$ = " ": EXIT WHILE ELSEIF m$ = "?" THEN: m$ = " ": cp CSRLIN, "Hint: " + hint$ ELSEIF m$ = "0" OR m$ = "q" THEN: vcls: CLOSE: END ELSEIF m$ = "" THEN: m$ = " " END IF WEND IF showSolution THEN 'run the solution from hints function showSolution = 0: mv$ = hint$ cp CSRLIN + 1, "For the next move, the AI has chosen: " + mv$ cp CSRLIN + 1, "Running the solution with 4 sec screen delays..." _DELAY 4: vcls WHILE mv$ <> "Done?" moveCount = moveCount + 1: makeMove mv$: displayStatus: mv$ = hint$ cp CSRLIN + 1, "For the next move, the AI has chosen: " + mv$ cp CSRLIN + 1, "Running the solution with 4 sec screen delays..." _DELAY 4: vcls WEND displayStatus cp CSRLIN + 1, "Done! Current board matches Target" cp CSRLIN + 1, "Press y for yes, if you want to start over: > " yes$ = getKey$: PRINT yes$: _DELAY .4: vcls IF yes$ = "y" THEN restart ELSE nomore = -1 ELSE vcls: moveCount = moveCount + 1: makeMove m$ END IF END IF LOOP UNTIL nomore CLOSE
SUB displayStatus COLOR 9: showBoard 2, 2, currentB$, "Current:" COLOR 12: showBoard 2, 2 + 2 * cellsPerSide + 6, targetB$, "Target:" COLOR 13: PRINT: PRINT " Number of moves taken so far is" + STR$(moveCount) COLOR 14 END SUB
FUNCTION hint$ 'compare the currentB to targetB and suggest letter or digit or done FOR i = 1 TO 2 * cellsPerSide 'check cols first then rows as listed in legalMoves$ r$ = MID$(legalMoves$, i, 1) IF i <= cellsPerSide THEN currentbit$ = MID$(currentB$, i, 1): targetBit$ = MID$(targetB$, i, 1) IF currentbit$ <> targetBit$ THEN flag = -1: EXIT FOR ELSE j = i - cellsPerSide currentbit$ = MID$(currentB$, (j - 1) * cellsPerSide + 1, 1) targetBit$ = MID$(targetB$, (j - 1) * cellsPerSide + 1, 1) IF currentbit$ <> targetBit$ THEN flag = -1: EXIT FOR END IF NEXT IF flag THEN hint$ = r$ ELSE hint$ = "Done?" END FUNCTION
SUB restart CLOSE OPEN "Copy Flipping Bits Game.txt" FOR OUTPUT AS #3 cellsPerSide = 0: legalMoves$ = "": moveCount = 0 COLOR 9: cp 3, "Flipping Bits Game, now with AI! b+ 2017-12-18" COLOR 5 cp 5, "You will be presented with a square board marked Current and" cp 6, "another marked Target. The object of the game is to match" cp 7, "the Current board to Target in the least amount of moves." cp 9, "To make a move, enter a letter for a column to flip or" cp 10, "a digit for a row to flip. In a flip, all 1's are" cp 11, "changed to 0's and all 0's changed to 1's." cp 13, "You may enter 0 or q at any time to quit." cp 14, "You may press ? when prompted for move to get a hint." cp 15, "You may press ! to have the program solve the puzzle." COLOR 14: PRINT: PRINT WHILE cellsPerSide < 2 OR cellsPerSide > 9 LOCATE CSRLIN, 13: PRINT "Please press how many cells you want per side 2 to 9 > "; in$ = getKey$: PRINT in$: _DELAY .4 IF in$ = "0" OR in$ = "q" THEN END ELSE cellsPerSide = VAL(in$) WEND vcls FOR i = 1 TO cellsPerSide: legalMoves$ = legalMoves$ + CHR$(96 + i): NEXT FOR i = 1 TO cellsPerSide: legalMoves$ = legalMoves$ + LTRIM$(STR$(i)): NEXT startB$ = startBoard$: currentB$ = startB$: targetB$ = makeTarget$: currentB$ = startB$ END SUB
FUNCTION startBoard$ FOR i = 1 TO cellsPerSide ^ 2: r$ = r$ + LTRIM$(STR$(INT(RND * 2))): NEXT startBoard$ = r$ END FUNCTION
SUB showBoard (row, col, board$, title$) LOCATE row - 1, col: PRINT title$ FOR i = 1 TO cellsPerSide LOCATE row, col + 2 * (i - 1) + 3: PRINT MID$(legalMoves$, i, 1); NEXT PRINT FOR i = 1 TO cellsPerSide LOCATE row + i, col - 1: PRINT STR$(i); FOR j = 1 TO cellsPerSide LOCATE row + i, col + 2 * j: PRINT " " + MID$(board$, (i - 1) * cellsPerSide + j, 1); NEXT PRINT NEXT END SUB
SUB makeMove (move$) ac = ASC(move$) IF ac > 96 THEN 'letter col = ac - 96 FOR i = 1 TO cellsPerSide bit$ = MID$(currentB$, (i - 1) * cellsPerSide + col, 1) IF bit$ = "0" THEN MID$(currentB$, (i - 1) * cellsPerSide + col, 1) = "1" ELSE MID$(currentB$, (i - 1) * cellsPerSide + col, 1) = "0" END IF NEXT ELSE 'number row = ac - 48 FOR i = 1 TO cellsPerSide bit$ = MID$(currentB$, (row - 1) * cellsPerSide + i, 1) IF bit$ = "0" THEN MID$(currentB$, (row - 1) * cellsPerSide + i, 1) = "1" ELSE MID$(currentB$, (row - 1) * cellsPerSide + i, 1) = "0" END IF NEXT END IF END SUB
FUNCTION makeTarget$ WHILE currentB$ = startB$ FOR i = 1 TO cellsPerSide * cellsPerSide m$ = MID$(legalMoves$, INT(RND * LEN(legalMoves$)) + 1, 1): makeMove m$ NEXT WEND makeTarget$ = currentB$ END FUNCTION
SUB cp (row, text$) 'center print at row LOCATE row, (80 - LEN(text$)) / 2: PRINT text$; END SUB
SUB vcls 'print the screen to file then clear it DIM s$(23) FOR lines = 1 TO 23 FOR t = 1 TO 80: scan$ = scan$ + CHR$(SCREEN(lines, t)): NEXT s$(lines) = RTRIM$(scan$): scan$ = "" NEXT FOR fini = 23 TO 1 STEP -1 IF s$(fini) <> "" THEN EXIT FOR NEXT PRINT #3, "" FOR i = 1 TO fini: PRINT #3, s$(i): NEXT PRINT #3, "": PRINT #3, STRING$(80, "-"): CLS END SUB
FUNCTION getKey$ 'just want printable characters k$ = "" WHILE LEN(k$) = 0 k$ = INKEY$ IF LEN(k$) THEN 'press something so respond IF LEN(k$) = 2 OR ASC(k$) > 126 OR ASC(k$) < 32 THEN k$ = "*": BEEP END IF WEND getKey$ = k$ END FUNCTION
'''Output:'''
<lang>
Flipping Bits Game, now with AI! b+ 2017-12-18
You will be presented with a square board marked Current and
another marked Target. The object of the game is to match
the Current board to Target in the least amount of moves.
To make a move, enter a letter for a column to flip or
a digit for a row to flip. In a flip, all 1's are
changed to 0's and all 0's changed to 1's.
You may enter 0 or q at any time to quit.
You may press ? when prompted for move to get a hint.
You may press ! to have the program solve the puzzle.
Please press how many cells you want per side 2 to 9 > l
Please press how many cells you want per side 2 to 9 > *
Please press how many cells you want per side 2 to 9 > 3
--------------------------------------------------------------------------------
Current: Target:
a b c a b c
1 1 1 0 1 0 1 1
2 1 1 0 2 0 1 1
3 0 0 1 3 0 1 1
Number of moves taken so far is 0
Press a lettered column or a numbered row to flip (or 0,q,?,!) > l
Press a lettered column or a numbered row to flip (or 0,q,?,!) > 9
Press a lettered column or a numbered row to flip (or 0,q,?,!) > *
Press a lettered column or a numbered row to flip (or 0,q,?,!) > a
--------------------------------------------------------------------------------
Current: Target:
a b c a b c
1 0 1 0 1 0 1 1
2 0 1 0 2 0 1 1
3 1 0 1 3 0 1 1
Number of moves taken so far is 1
Press a lettered column or a numbered row to flip (or 0,q,?,!) > ?
Hint: c
Press a lettered column or a numbered row to flip (or 0,q,?,!) > c
--------------------------------------------------------------------------------
Current: Target:
a b c a b c
1 0 1 1 1 0 1 1
2 0 1 1 2 0 1 1
3 1 0 0 3 0 1 1
Number of moves taken so far is 2
Press a lettered column or a numbered row to flip (or 0,q,?,!) > l
Press a lettered column or a numbered row to flip (or 0,q,?,!) > 9
Press a lettered column or a numbered row to flip (or 0,q,?,!) > !
For the next move, the AI has chosen: 3
Running the solution with 4 sec screen delays...
--------------------------------------------------------------------------------
Current: Target:
a b c a b c
1 0 1 1 1 0 1 1
2 0 1 1 2 0 1 1
3 0 1 1 3 0 1 1
Number of moves taken so far is 3
For the next move, the AI has chosen: Done?
Running the solution with 4 sec screen delays...
--------------------------------------------------------------------------------
Current: Target:
a b c a b c
1 0 1 1 1 0 1 1
2 0 1 1 2 0 1 1
3 0 1 1 3 0 1 1
Number of moves taken so far is 3
Done! Current board matches Target
Press y for yes, if you want to start over: > m
--------------------------------------------------------------------------------
Racket
(define (flip-col! pzzl c) (define N (integer-sqrt (bytes-length pzzl))) (for* ((r (in-range N))) (define idx (+ c (* N r))) (bytes-set! pzzl idx (- 1 (bytes-ref pzzl idx)))))
(define (new-game N (flips 10)) (define N2 (sqr N)) (define targ (list->bytes (for/list ((_ N2)) (random 2)))) (define strt (bytes-copy targ)) (for ((_ flips)) (case (random 2) ((0) (flip-col! strt (random N))) ((1) (flip-row! strt (random N))))) (if (equal? strt targ) (new-game N) (values targ strt)))
(define (show-games #:sep (pzl-sep " | ") . pzzls) (define N (integer-sqrt (bytes-length (first pzzls)))) (define caption (string-join (for/list ((c (in-range N))) (~a (add1 c))) "")) (define ruler (string-join (for/list ((c (in-range N))) "-") ""))
(define ((pzzle-row r) p) (string-join (for/list ((c (in-range N))) (~a (bytes-ref p (+ c (* N r))))) ""))
(displayln (string-join (list* (format " ~a" (string-join (for/list ((_ pzzls)) caption) pzl-sep)) (format " ~a" (string-join (for/list ((_ pzzls)) ruler) pzl-sep)) (for/list ((r (in-range N)) (R (in-naturals (char->integer #\a)))) (format "~a ~a" (integer->char R) (string-join (map (pzzle-row r) pzzls) pzl-sep)))) "\n")))
(define (play N)
(define-values (end start) (new-game N))
(define (turn n (show? #t))
(cond
[(equal? end start) (printf "you won on turn #~a~%" n)]
[else
(when show? ;; don't show after whitespace
(printf "turn #~a~%" n)
(show-games start end))
(match (read-char)
[(? eof-object?) (printf "sad to see you go :-(~%")]
[(? char-whitespace?) (turn n #f)]
[(? char-numeric? c)
(define cnum (- (char->integer c) (char->integer #\1)))
(cond [(< -1 cnum N)
(printf "flipping col ~a~%" (add1 cnum))
(flip-col! start cnum)
(turn (add1 n))]
[else (printf "column number out of range ~a > ~a~%" (add1 cnum) N)
(turn n)])]
[(? char-lower-case? c)
(define rnum (- (char->integer c) (char->integer #\a)))
(cond [(< -1 rnum N)
(printf "flipping row ~a~%" (add1 rnum))
(flip-row! start rnum)
(turn (add1 n))]
[else (printf "row number out of range ~a > ~a~%" (add1 rnum) (sub1 N))
(turn n)])]
[else (printf "unrecognised character in input: ~s~%" else)
(turn n)])]))
(turn 0))
{{out}}
```txt
(play 3)
turn #0
123 | 123
--- | ---
a 001 | 101
b 110 | 101
c 100 | 000
1
flipping col 1
turn #1
123 | 123
--- | ---
a 101 | 101
b 010 | 101
c 000 | 000
b
flipping row 2
you won on turn #2
REXX
This REXX version allows the specification (on the invocation line) for: :::* the size of the array (grid) [the default is '''3''', the maximum is '''26'''] :::* the number of bits (for the target) to be flipped is the size of the grid (the whole row or column)
Programming note: none of the command line parameters ('''N''' and '''u''') are checked for errors (so as to make the
program simpler). A fair amount of coding was added to check for a legal "move".
/*REXX program presents a "flipping bit" puzzle. The user can solve via it via C.L. */
parse arg N u seed . /*get optional arguments from the C.L. */
if N=='' | N=="," then N=3 /*Size given? Then use default of 3.*/
if u=='' | u=="," then u=N /*the number of bits initialized to ON.*/
if datatype(seed, 'W') then call random ,,seed /*is there a seed (for repeatability?) */
col@= 'a b c d e f g h i j k l m n o p q r s t u v w x y z' /*literal for column id.*/
cols=space(col@, 0); upper cols /*letters to be used for the columns. */
@.=0; !.=0 /*set both arrays to "off" characters.*/
tries=0 /*number of player's attempts (so far).*/
do while show(0) < u /* [↓] turn "on" U number of bits.*/
r=random(1, N); c=random(1, N) /*get a random row and column. */
@.r.c=1 ; !.r.c=1 /*set (both) row and column to ON. */
end /*while*/ /* [↑] keep going 'til U bits set.*/
oz=z /*save the original array string. */
call show 1, ' ◄═══target═══╣', , 1 /*display the target for user to attain*/
do random(1,2); call flip 'R',random(1,N) /*flip a row of bits. */
call flip 'C',random(1,N) /* " " column " " */
end /*random*/ /* [↑] just perform 1 or 2 times. */
if z==oz then call flip 'R', random(1, N) /*ensure it's not target we're flipping*/
do until z==oz; call prompt /*prompt until they get it right. */
call flip left(?, 1), substr(?, 2) /*flip a user selected row or column. */
call show 0 /*get image (Z) of the updated array. */
end /*until*/
call show 1, ' ◄───your array' /*display the array to the terminal. */
say '─────────Congrats! You did it in' tries "tries."
exit tries /*stick a fork in it, we're all done. */
/*──────────────────────────────────────────────────────────────────────────────────────*/
halt: say 'program was halted by user.'; exit /*the REXX program was halted by user. */
hdr: aaa=arg(1); if oo==1 then aaa=translate(aaa, "╔═║", '┌─│'); say aaa; return
isInt: return datatype( arg(1), 'W') /*returns 1 if arg is an integer.*/
isLet: return datatype( arg(1), 'M') /*returns 1 if arg is a letter. */
terr: if ok then say '───────── ***error***: illegal' arg(1); ok=0; return
/*──────────────────────────────────────────────────────────────────────────────────────*/
flip: arg x,#; do c=1 for N while x=='R'; @.#.c = \@.#.c; end /*c*/
do r=1 for N while x=='C'; @.r.# = \@.r.#; end /*r*/; return
/*──────────────────────────────────────────────────────────────────────────────────────*/
prompt: if tries\==0 then say '─────────bit array after play: ' tries
signal on halt /*another method for the player to quit*/
!='─────────Please enter a row number or a column letter, or Quit:'
call show 1, ' ◄───your array' /*display the array to the terminal. */
do forever until ok; ok=1; say; say !; pull ? _ . 1 aa
if abbrev('QUIT', ?, 1) then do; say '─────────quitting···'; exit 0; end
if ?=='' then do; call show 1," ◄═══target═══╣",.,1; ok=0
call show 1," ◄───your array"
end /* [↑] reshow targ*/
if _ \== '' then call terr 'too many args entered:' aa
if \isInt(?) & \isLet(?) then call terr 'row/column: ' ?
if isLet(?) then a=pos(?, cols)
if isLet(?) & (a<1 | a>N | length(?)>1) then call terr 'column: ' ?
if isLet(?) then ?='C'pos(?, cols)
if isInt(?) & (?<1 | ?>N) then call terr 'row: ' ?
if isInt(?) then ?='R' || (?/1) /*normalize number*/
end /*forever*/ /*end of da checks*/
tries= tries + 1 /*bump da counter.*/
return ? /*return response.*/
/*──────────────────────────────────────────────────────────────────────────────────────*/
show: $=0; _=; parse arg tell,tx,o,oo /*$≡num of ON bits*/
if tell then do; say; say ' ' subword(col@, 1, N) " column letter"
call hdr 'row ┌'copies('─', N+N+1) /*prepend col hdrs*/
end /* [↑] grid hdrs.*/
z= /* [↓] build grid.*/
do r=1 for N /*show grid rows.*/
do c=1 for N; if o==. then do; z=z || !.r.c; _=_ !.r.c; $=$ + !.r.c; end
else do; z=z || @.r.c; _=_ @.r.c; $=$ + @.r.c; end
end /*c*/ /*··· and sum ONs.*/
if tx\=='' then tar.r=_ tx /*build da target?*/
if tell then call hdr right(r, 2) ' │'_ tx; _= /*show the grid? */
end /*r*/ /*show a grid row.*/
if tell then say; return $ /*show blank line?*/
{{out|output|text= when using the default input of: 3 }}
Note that the user's input is also shown (annotated).
Also note that the 2nd answer was a blank (or nothing), which caused the program to re-show the target array.
a b c column letter
row ╔═══════
1 ║ 0 1 0 ◄═══target═══╣
2 ║ 0 0 0 ◄═══target═══╣
3 ║ 0 1 1 ◄═══target═══╣
a b c column letter
row ┌───────
1 │ 1 0 0 ◄───your array
2 │ 1 1 0 ◄───your array
3 │ 0 1 0 ◄───your array
─────────Please enter a row number or a column letter, or Quit:
b ◄■■■■■■■■■■■■■ user input
─────────bit array after play: 1
a b c column letter
row ┌───────
1 │ 1 1 0 ◄───your array
2 │ 1 0 0 ◄───your array
3 │ 0 0 0 ◄───your array
─────────Please enter a row number or a column letter, or Quit:
a ◄■■■■■■■■■■■■■ user input
─────────bit array after play: 2
a b c column letter
row ┌───────
1 │ 0 1 0 ◄───your array
2 │ 0 0 0 ◄───your array
3 │ 1 0 0 ◄───your array
─────────Please enter a row number or a column letter, or Quit:
3 ◄■■■■■■■■■■■■■ user input
a b c column letter
row ┌───────
1 │ 0 1 0 ◄───your array
2 │ 0 0 0 ◄───your array
3 │ 0 1 1 ◄───your array
─────────Congrats! You did it in 3 tries.
{{out|output|text= when using the following was used for input: 5 }}
a b c d e column letter
row ╔═══════════
1 ║ 1 0 0 0 0 ◄═══target═══╣
2 ║ 1 0 0 0 0 ◄═══target═══╣
3 ║ 1 0 0 0 0 ◄═══target═══╣
4 ║ 0 0 0 0 0 ◄═══target═══╣
5 ║ 0 0 1 1 0 ◄═══target═══╣
a b c d e column letter
row ┌───────────
1 │ 0 0 1 1 0 ◄───your array
2 │ 1 1 0 0 1 ◄───your array
3 │ 1 1 0 0 1 ◄───your array
4 │ 0 1 0 0 1 ◄───your array
5 │ 0 1 1 1 1 ◄───your array
─────────Please enter a row number or a column letter, or Quit:
q
─────────quitting···
Ring
load "guilib.ring"
load "stdlib.ring"
size = 3
flip = newlist(size,size)
board = newlist(size,size)
colflip = list(size)
rowflip = list(size)
new qapp
{
win1 = new qwidget() {
setwindowtitle("Flipping bits game")
setgeometry(465,115,800,600)
label1 = new qlabel(win1) {
setgeometry(285,60,120,40)
settext("Target")
}
label2 = new qlabel(win1) {
setgeometry(285,220,120,40)
settext("Board")
}
for n = 1 to size
for m = 1 to size
flip[n][m] = new qpushbutton(win1) {
setgeometry(200+n*40,60+m*40,40,40)
settext(string(random(1)))
}
next
next
for n = 1 to size
for m = 1 to size
board[n][m] = new qpushbutton(win1) {
setgeometry(200+n*40,260+m*40,40,40)
setclickevent("draw(" + n + "," + m +")")
}
next
next
for n = 1 to size
colflip[n]= new qpushbutton(win1) {
setgeometry(200+n*40,260,40,40)
settext("Go")
setclickevent("coldraw(" + n + ")")
}
next
for n = 1 to size
rowflip[n]= new qpushbutton(win1) {
setgeometry(200,260+n*40,40,40)
settext("Go")
setclickevent("rowdraw(" + n + ")")
}
next
scramblebutton = new qpushbutton(win1) {
setgeometry(240,460,120,40)
settext("Scramble Board")
setclickevent("scramble(flip)")
}
scramblebegin(flip)
show()
}
exec()
}
func coldraw(n)
for row = 1 to size
board[n][row] {temp = text()}
if temp = "0"
board[n][row].settext("1")
else
board[n][row].settext("0")
ok
next
func rowdraw(n)
for col = 1 to size
board[col][n] {temp = text()}
if temp = "0"
board[col][n].settext("1")
else
board[col][n].settext("0")
ok
next
func scramble(flip)
for col = 1 to size
for row = 1 to size
flip[col][row]{temp = text()}
board[col][row].settext(temp)
next
next
for mix = 1 to size*10
colorrow = random(1) + 1
colrow = random(size-1) + 1
if colorrow = 1
rc = "coldraw"
else
rc = "rowdraw"
ok
go = rc + "(" + colrow + ")"
eval(go)
next
func scramblebegin(flip)
for col = 1 to size
for row = 1 to size
flip[col][row]{temp = text()}
board[col][row].settext(temp)
next
next
Output:
[https://1drv.ms/v/s!AqDUIunCqVnIg1Tbq1vXuLSg5B6L Flipping bits game]
Ruby
class FlipBoard def initialize(size) raise ArgumentError.new("Invalid board size: #{size}") if size < 2 @size = size @board = Array.new(size**2, 0) randomize_board loop do @target = generate_target break unless solved? end # these are used for validating user input @columns = [*'a'...('a'.ord+@size).chr] @rows = (1..@size).map(&:to_s) end ############################################################ def play moves = 0 puts "your target:", target until solved? puts "", "move #{moves}:", self print "Row/column to flip: " ans = $stdin.gets.strip if @columns.include? ans flip_column @columns.index(ans) moves += 1 elsif @rows.include? ans flip_row @rows.index(ans) moves += 1 else puts "invalid input: " + ans end end puts "", "you solved the game in #{moves} moves", self end # the target formation as a string def target format_array @target end # the current formation as a string def to_s format_array @board end ############################################################ private def solved? @board == @target end # flip a random number of bits on the board def randomize_board (@size + rand(@size)).times do flip_bit rand(@size), rand(@size) end end # generate a random number of flip_row/flip_column calls def generate_target orig_board = @board.clone (@size + rand(@size)).times do rand(2).zero? ? flip_row( rand(@size) ) : flip_column( rand(@size) ) end target, @board = @board, orig_board target end def flip_row(row) @size.times {|col| flip_bit(row, col)} end def flip_column(col) @size.times {|row| flip_bit(row, col)} end def flip_bit(row, col) @board[@size * row + col] ^= 1 end def format_array(ary) str = " " + @columns.join(" ") + "\n" @size.times do |row| str << "%2s " % @rows[row] + ary[@size*row, @size].join(" ") + "\n" end str end end ###################################################################### begin FlipBoard.new(ARGV.shift.to_i).play rescue => e puts e.message end
Sample game:
$ ruby flipping_bits.rb 3
your target:
a b c
1 1 0 1
2 0 1 1
3 0 1 0
move 0:
a b c
1 0 0 1
2 0 0 0
3 0 0 1
Row/column to flip: 1
move 1:
a b c
1 1 1 0
2 0 0 0
3 0 0 1
Row/column to flip: b
move 2:
a b c
1 1 0 0
2 0 1 0
3 0 1 1
Row/column to flip: c
you solved the game in 3 moves
a b c
1 1 0 1
2 0 1 1
3 0 1 0
Scala
Java Swing Interoperability
{{libheader|Scala Java Swing interoperability}} {{libheader|Scala GUI Game}} {{works with|Scala|2.13}}
import java.awt.{BorderLayout, Color, Dimension, Font, Graphics, Graphics2D, Rectangle, RenderingHints} import java.awt.event.{MouseAdapter, MouseEvent} import javax.swing.{JFrame, JPanel} object FlippingBitsGame extends App { class FlippingBitsGame extends JPanel { private val maxLevel: Int = 7 private val box: Rectangle = new Rectangle(120, 90, 400, 400) private var n: Int = maxLevel private var grid: Array[Array[Boolean]] = _ private var target: Array[Array[Boolean]] = _ private var solved: Boolean = true override def paintComponent(gg: Graphics): Unit = { def drawGrid(g: Graphics2D): Unit = { if (solved) g.drawString("Solved! Click here to play again.", 180, 600) else g.drawString("Click next to a row or a column to flip.", 170, 600) val size: Int = box.width / n for {r <- 0 until n c <- 0 until n} { g.setColor(if (grid(r)(c)) Color.blue else Color.orange) g.fillRect(box.x + c * size, box.y + r * size, size, size) g.setColor(getBackground) g.drawRect(box.x + c * size, box.y + r * size, size, size) g.setColor(if (target(r)(c)) Color.blue else Color.orange) g.fillRect(7 + box.x + c * size, 7 + box.y + r * size, 10, 10) } } super.paintComponent(gg) val g: Graphics2D = gg.asInstanceOf[Graphics2D] g.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON) drawGrid(g) } private def printGrid(msg: String, g: Array[Array[Boolean]]): Unit = { println(msg) for (row <- g) println(row.mkString(", ")) println() } private def startNewGame(): Unit = { val rand = scala.util.Random if (solved) { val minLevel: Int = 3 n = if (n == maxLevel) minLevel else n + 1 grid = Array.ofDim[Boolean](n, n) target = Array.ofDim[Boolean](n, n) do { def shuffle(): Unit = for (i <- 0 until n * n) if (rand.nextBoolean()) flipRow(rand.nextInt(n)) else flipCol(rand.nextInt(n)) shuffle() for (i <- grid.indices) grid(i).copyToArray(target(i)) //, n) shuffle() } while (solved(grid, target)) solved = false printGrid("The target", target) printGrid("The board", grid) } } private def solved(a: Array[Array[Boolean]], b: Array[Array[Boolean]]): Boolean = a.indices.forall(i => a(i) sameElements b(i)) private def flipRow(r: Int): Unit = for (c <- 0 until n) grid(r)(c) ^= true private def flipCol(c: Int): Unit = for (row <- grid) row(c) ^= true setPreferredSize(new Dimension(640, 640)) setBackground(Color.white) setFont(new Font("SansSerif", Font.PLAIN, 18)) startNewGame() addMouseListener(new MouseAdapter() { override def mousePressed(e: MouseEvent): Unit = { if (solved) startNewGame() else { val x: Int = e.getX val y: Int = e.getY if (box.contains(x, y)) return if (x > box.x && x < box.x + box.width) flipCol((x - box.x) / (box.width / n)) else if (y > box.y && y < box.y + box.height) flipRow((y - box.y) / (box.height / n)) solved = solved(grid, target) printGrid(if (solved) "Solved!" else "The board", grid) } repaint() } }) } new JFrame("Flipping Bits Game") { add(new FlippingBitsGame(), BorderLayout.CENTER) pack() setDefaultCloseOperation(javax.swing.WindowConstants.EXIT_ON_CLOSE) setLocationRelativeTo(null) setResizable(false) setVisible(true) } }
{{output?|Scala}}
Swift
{{works with|Swift 2.0}}
import Foundation struct Board: Equatable, CustomStringConvertible { let size: Int private var tiles: [Bool] init(size: Int) { self.size = size tiles = Array(count: size * size, repeatedValue: false) } subscript(x: Int, y: Int) -> Bool { get { return tiles[y * size + x] } set { tiles[y * size + x] = newValue } } mutating func randomize() { for i in 0..<tiles.count { tiles[i] = Bool(random() % 2) } } mutating func flipRow(row: Int) { for i in 0..<size { self[row, i] = !self[row, i] } } mutating func flipColumn(column: Int) { for i in 0..<size { self[i, column] = !self[i, column] } } var description: String { var desc = "\n\ta\tb\tc\n" for i in 0..<size { desc += "\(i+1):\t" for j in 0..<size { desc += "\(Int(self[i, j]))\t" } desc += "\n" } return desc } } func ==(lhs: Board, rhs: Board) -> Bool { return lhs.tiles == rhs.tiles } class FlippingGame: CustomStringConvertible { var board: Board var target: Board var solved: Bool { return board == target } init(boardSize: Int) { target = Board(size: 3) board = Board(size: 3) generateTarget() } func generateTarget() { target.randomize() board = target let size = board.size while solved { for _ in 0..<size + (random() % size + 1) { if random() % 2 == 0 { board.flipColumn(random() % size) } else { board.flipRow(random() % size) } } } } func getMove() -> Bool { print(self) print("Flip what? ", terminator: "") guard let move = readLine(stripNewline: true) where move.characters.count == 1 else { return false } var moveValid = true if let row = Int(move) { board.flipRow(row - 1) } else if let column = move.lowercaseString.utf8.first where column < 100 && column > 96 { board.flipColumn(numericCast(column) - 97) } else { moveValid = false } return moveValid } var description: String { var str = "" print("Target: \n \(target)", toStream: &str) print("Board: \n \(board)", toStream: &str) return str } } func playGame(game: FlippingGame) -> String { game.generateTarget() var numMoves = 0 while !game.solved { numMoves++ print("Move #\(numMoves)") while !game.getMove() {} } print("You win!") print("Number of moves: \(numMoves)") print("\n\nPlay Again? ", terminator: "") return readLine(stripNewline: true)!.lowercaseString } let game = FlippingGame(boardSize: 3) repeat { } while playGame(game) == "y"
{{Out}}
Move #1
Target:
a b c
1: 1 1 0
2: 0 0 1
3: 1 0 1
Board:
a b c
1: 0 1 0
2: 1 0 1
3: 0 0 1
Flip what? a
You win!
Number of moves: 1
Play Again? n
Tcl
{{works with|Tcl|8.6}}
package require Tcl 8.6 oo::class create Flip { variable board target s constructor {size} { set s $size set target [my RandomConfiguration] set board $target while {$board eq $target} { for {set i 0} {$i < $s} {incr i} { if {rand()<.5} { my SwapRow $i } if {rand()<.5} { my SwapColumn $i } } } } method RandomConfiguration {{p 0.5}} { for {set row 0} {$row < $s} {incr row} { set r {} for {set col 0} {$col < $s} {incr col} { lappend r [expr {rand() < $p}] } lappend result $r } return $result } method SwapRow {rowId} { for {set i 0} {$i < $s} {incr i} { lset board $rowId $i [expr {![lindex $board $rowId $i]}] } } method SwapColumn {columnId} { for {set i 0} {$i < $s} {incr i} { lset board $i $columnId [expr {![lindex $board $i $columnId]}] } } method Render {configuration {prefixes {}}} { join [lmap r $configuration p $prefixes { format %s%s $p [join [lmap c $r {string index ".X" $c}] ""] }] "\n" } method GetInput {prompt} { puts -nonewline "${prompt}: " flush stdout gets stdin } method play {} { set p0 {} set p {} set top [format "%*s " [string length $s] ""] for {set i 1;set j 97} {$i<=$s} {incr i;incr j} { append top [format %c $j] lappend p [format "%*d " [string length $s] $i] lappend p0 [format "%*s " [string length $s] ""] } set moves 0 puts "You are trying to get to:\n[my Render $target $p0]\n" while true { puts "Current configuration (#$moves):\n$top\n[my Render $board $p]" # Test for if we've won if {$board eq $target} break # Ask the user for a move set i [my GetInput "Pick a column (letter) or row (number) to flip"] # Parse the move and apply it if {[string is lower -strict $i] && [set c [expr {[scan $i "%c"] - 97}]]<$s} { my SwapColumn $c incr moves } elseif {[string is integer -strict $i] && $i>0 && $i<=$s} { my SwapRow [expr {$i - 1}] incr moves } else { puts "Error: bad selection" } puts "" } puts "\nYou win! (You took $moves moves.)" } } Flip create flip 3 flip play
{{out|Example game}}
You are trying to get to:
.XX
XXX
X.X
Current configuration (#0):
abc
1 .X.
2 ..X
3 X..
Pick a column (letter) or row (number) to flip: 2
Current configuration (#1):
abc
1 .X.
2 XX.
3 X..
Pick a column (letter) or row (number) to flip: c
Current configuration (#2):
abc
1 .XX
2 XXX
3 X.X
You win! (You took 2 moves.)