Data update

This commit is contained in:
Ingy döt Net 2024-03-06 22:25:12 -08:00
parent ed705008a8
commit 0df55f9f24
2196 changed files with 32999 additions and 3075 deletions

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@ -0,0 +1,74 @@
n equ 8 ; queens
maximum equ 32 ; only limited by time
place equ $00
count equ maximum+place ; 64 bits (8 bytes)
length equ maximum+8
org $80
start
LDY #n ; n queens on an n x n board
STY greater+1
DEY
STY safe+1
LDX #length
LDA #$00
clear
STA place,X
DEX
BPL clear
next
INX
LDA #$FF
STA place,X
loop
INC place,X
LDA place,X
greater
CMP #n
BCS max
STX index+1
index
LDY #$00 ; index+1
BEQ safe
DEY
STA compare+1
STA add+1 ; compare
STA sub+1 ; compare
issafe
LDA place,Y
compare
CMP #$00 ; compare+1
BEQ loop ; unsafe
INC add+1
add
CMP #$00 ; add+1
BEQ loop ; unsafe
DEC sub+1
sub
CMP #$00 ; sub+1
BEQ loop ; unsafe
DEY
BPL issafe
safe
CPX #n-1
BNE next
INC count ; 64 bits (8 bytes)
BNE loop
INC count+1
BNE loop
INC count+2
BNE loop
INC count+3
BNE loop
INC count+4
BNE loop
INC count+5
BNE loop
INC count+6
BNE loop
INC count+7
BNE loop
BRK
max
DEX
BPL loop
; RTS

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@ -0,0 +1,20 @@
org $C00
PHP
SEI
JSR swap
JSR $0080
JSR swap
PLP
jmp end
swap
LDX #$00
loop
LDY $D00,X
LDA $00,X
STY $00,X
STA $D00,X
INX
BNE loop
RTS
end
; RTS

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@ -0,0 +1,3 @@
1 READ N,T,M,R(0): FOR Y = 0 TO M STEP 0: FOR L = 0 TO T STEP 0:R(Y) = R(Y) + T:X = R(Y):C = NOT Y: IF NOT C THEN FOR I = T TO Y:A = R(Y - I): IF NOT (A = X OR A = X - I OR A = X + I) THEN NEXT I:C = T
2 L = R(Y) > N OR C: NEXT L:D = - (R(Y) > N): IF NOT D AND Y < N THEN R(Y + T) = M:D = D + T
3 S = S + NOT D:Y = Y + D: NEXT Y: PRINT "THERE " MID$ ("AREIS",4 ^ (S = 1),3)" "S" SOLUTION" MID$ ("S",1,S < > 1)" FOR "N + T" X "N + T: DATA7,1,-1,-1

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@ -0,0 +1,133 @@
/**
* A solver for the classic 8-queens problem.
*
* @see https://rosettacode.org/wiki/N-queens_problem
*/
module eightQueens {
void run() {
@Inject Console console;
Int count = new Board().solve(b -> console.print($"{b}\n"));
console.print($"{count} solutions found");
}
/**
* `Board` represents a chess board that holds only queens. The board
* is organized as columns 0 ("A") to 7 ("H"), and rows 0 (rank "1")
* to 7 (rank "8").
*/
const Board {
/**
* Construct an empty board.
*/
construct() {}
/**
* Internal: Construct a specifically-populated board.
*/
private construct(Int queens, Int claimed) {
this.queens = queens;
this.claimed = claimed;
}
/**
* Each bit of this 64-bit integer represents a queen.
*/
private Int queens;
/**
* Each bit of this 64-bit integer represents a queen or a threat.
*/
private Int claimed;
/**
* Translate a column and row to a bit-mask, used with the
* [queens] and [claimed] properties. Examples:
* * A1 is (0,0) => 0x0000000000000001
* * H8 is (7,7) => 0x8000000000000000
*/
private Int mask(Int col, Int row) = 1 << (row << 3) + col;
/**
* Determine if the specified square has a queen in it.
*/
Boolean occupied(Int col, Int row) {
return queens & mask(col, row) != 0;
}
/**
* Determine if the specified square is safe from the queens.
*/
Boolean safe(Int col, Int row) {
return claimed & mask(col, row) == 0;
}
/**
* Attempt to place a queen in a specified square.
*
* @return True iff a queen can be safely placed in the square
* @return (conditional) the new Board with the new queen on it
*/
conditional Board placeQueen(Int col, Int row) {
assert 0 <= col < 8 && 0 <= row < 8;
if (!safe(col, row)) {
return False;
}
Int newQueens = queens | mask(col, row);
Int newClaimed = claimed | queens;
// claim all threatened spaces
for (Int i : 0..7) {
newClaimed |= mask(i, row) | mask(col, i);
val diagDownRow = row + i - col;
if (0 <= diagDownRow < 8) {
newClaimed |= mask(i, diagDownRow);
}
val diagUpRow = row - i + col;
if (0 <= diagUpRow < 8) {
newClaimed |= mask(i, diagUpRow);
}
}
return True, new Board(newQueens, newClaimed);
}
/**
* Attempt to find all solutions to the n-queens problem.
*/
Int solve(function void(Board) yield) = solve(yield, 0);
/**
* Internal: Attempt to find all solutions to the n-queens problem,
* starting with the specified column and recursively solving by
* moving to the next column for each potential solution found in
* the specified column.
*/
private Int solve(function void(Board) yield, Int col) {
if (col == 8) {
// there is no column 8; we've found a solution
yield(this);
return 1;
}
Int count = 0;
for (Int rank : 8..1) {
val row = 8-rank;
if (Board afterPlacing := placeQueen(col, row)) {
count += afterPlacing.solve(yield, col + 1);
}
}
return count;
}
@Override String toString() {
val buf = new StringBuffer();
for (Int rank : 8..1) {
buf.append($"{rank} |");
val row = 8-rank;
for (Int col : 0..7) {
buf.add(occupied(col, row) ? 'q' : '_').add('|');
}
buf.add('\n');
}
return buf.append(" A B C D E F G H").toString();
}
}
}

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@ -7,7 +7,7 @@ fn main() {
}
}
fn permutations<'a, T, I>(collection: I) -> Box<Iterator<Item=LinkedList<T>> + 'a>
fn permutations<'a, T, I>(collection: I) -> Box<Iterator<dyn Item=LinkedList<T>> + 'a>
where I: 'a + IntoIterator<Item=T> + Clone,
T: 'a + PartialEq + Copy + Clone {
if collection.clone().into_iter().count() == 0 {
@ -26,7 +26,7 @@ fn permutations<'a, T, I>(collection: I) -> Box<Iterator<Item=LinkedList<T>> + '
}
pub struct NQueens {
iterator: Box<Iterator<Item=NQueensSolution>>
iterator: Box<Iterator<dyn Item=NQueensSolution>>
}
impl NQueens {

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@ -0,0 +1,29 @@
extern crate itertools;
use itertools::Itertools;
fn main() {
const N: usize = 8;
let permutations = (0..N).permutations(N);
let solution_count = permutations
.filter(|p| {
let mut diag1 = [false; 2 * N - 1];
let mut diag2 = [false; 2 * N - 1];
for (i, &row) in p.iter().enumerate() {
if diag1[row + i] || diag2[N - 1 + row - i] {
return false; // Queens mutual threat
}
diag1[row + i] = true;
diag2[N - 1 + row - i] = true;
}
true // No Queens mutual threat
})
.count();
println!("{}", solution_count);
}