This commit is contained in:
ddidderr 2022-07-18 10:29:40 +02:00
parent 867d6dce73
commit 9d157745d9
Signed by: ddidderr
GPG Key ID: 3841F1C27E6F0E14
2 changed files with 121 additions and 196 deletions

3
Cargo.lock generated
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@ -1,6 +1,7 @@
# This file is automatically @generated by Cargo. # This file is automatically @generated by Cargo.
# It is not intended for manual editing. # It is not intended for manual editing.
version = 3
[[package]] [[package]]
name = "sudk" name = "sudk"
version = "0.1.0" version = "0.1.0"

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@ -1,50 +1,58 @@
use std::time::Duration;
type Pos = usize;
struct SField { struct SField {
field: Vec<usize>, field: Vec<usize>,
fixed: Vec<usize>, fixed: Vec<usize>,
known: Vec<usize>,
size: usize, size: usize,
block_size: usize, block_size: usize,
pos: Pos, pos: usize,
pos_last_placed: Pos, pos_last_placed: usize,
num_fields: usize, num_fields: usize,
possible_values: Vec<Vec<usize>>,
} }
impl SField { impl SField {
pub fn new(block_size: usize) -> SField { pub fn new(block_size: usize) -> SField {
let size = block_size * block_size; let size = block_size * block_size;
// EMPTY FIELD
// let field = vec![0; size * size]; // let field = vec![0; size * size];
/* // BLOCK_SIZE 4
let field = vec![0,15,0,0,0,0,11,4,0,5,0,0,0,0,12,8, // #[rustfmt::skip]
12,0,0,9,0,1,0,5,0,0,8,15,0,0,0,13, // let field = vec![
0,0,3,0,0,10,13,0,0,11,4,0,15,0,6,0, // 0,15,0,0,0,0,11,4,0,5,0,0,0,0,12,8,
13,10,0,11,0,0,0,14,0,3,2,0,0,9,0,0, // 12,0,0,9,0,1,0,5,0,0,8,15,0,0,0,13,
0,0,15,10,8,0,0,0,0,0,14,0,0,6,2,0, // 0,0,3,0,0,10,13,0,0,11,4,0,15,0,6,0,
0,0,14,0,0,0,6,0,0,0,0,0,1,0,0,0, // 13,10,0,11,0,0,0,14,0,3,2,0,0,9,0,0,
0,11,0,8,3,0,15,1,6,0,0,0,0,0,0,7, // 0,0,15,10,8,0,0,0,0,0,14,0,0,6,2,0,
0,6,0,7,0,0,0,0,8,13,0,0,10,0,0,0, // 0,0,14,0,0,0,6,0,0,0,0,0,1,0,0,0,
0,14,0,2,0,0,0,0,3,0,5,0,11,15,9,0, // 0,11,0,8,3,0,15,1,6,0,0,0,0,0,0,7,
0,0,0,12,11,0,2,0,0,0,0,0,0,0,0,0, // 0,6,0,7,0,0,0,0,8,13,0,0,10,0,0,0,
0,8,0,0,6,14,1,0,13,15,0,0,0,0,0,10, // 0,14,0,2,0,0,0,0,3,0,5,0,11,15,9,0,
10,0,0,3,9,0,7,0,0,1,0,0,13,12,8,0, // 0,0,0,12,11,0,2,0,0,0,0,0,0,0,0,0,
7,0,0,0,0,0,14,0,0,0,0,0,0,0,0,9, // 0,8,0,0,6,14,1,0,13,15,0,0,0,0,0,10,
0,3,0,14,0,0,9,6,0,0,0,0,0,4,0,0, // 10,0,0,3,9,0,7,0,0,1,0,0,13,12,8,0,
0,4,6,0,0,7,0,0,0,0,0,0,0,0,0,0, // 7,0,0,0,0,0,14,0,0,0,0,0,0,0,0,9,
5,2,0,0,0,4,10,15,1,0,3,0,0,0,7,0,]; // 0,3,0,14,0,0,9,6,0,0,0,0,0,4,0,0,
*/ // 0,4,6,0,0,7,0,0,0,0,0,0,0,0,0,0,
// 5,2,0,0,0,4,10,15,1,0,3,0,0,0,7,0,
// ];
// MANY SOLUTIONS // MANY SOLUTIONS
#[rustfmt::skip]
let field = vec![ let field = vec![
0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 8, 9, 0, 2, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0,0,0,0,0,0,0,0,9,
4, 0, 6, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 6, 5, 0, 0, 2, 0, 7, 4, 0, 3, 0, 0, 0,0,0,0,8,9,0,2,0,
0, 5, 0, 4, 0, 0, 0, 1, 8, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 6, 0, 0,0,0,0,2,0,4,0,0,
0,0,4,0,6,0,0,0,8,
0,0,0,5,0,0,0,0,0,
0,6,5,0,0,2,0,7,4,
0,3,0,0,0,5,0,4,0,
0,0,1,8,0,0,0,0,0,
0,0,8,2,0,0,0,6,0,
]; ];
// HARD // HARD
// #[rustfmt::skip]
// let field = vec![ // let field = vec![
// 8,4,0,0,6,0,5,0,1, // 8,4,0,0,6,0,5,0,1,
// 0,0,0,0,0,3,0,4,0, // 0,0,0,0,0,3,0,4,0,
@ -58,6 +66,7 @@ impl SField {
// ]; // ];
// EASY // EASY
// #[rustfmt::skip]
// let field = vec![ // let field = vec![
// 5,9,0,6,1,3,0,0,0, // 5,9,0,6,1,3,0,0,0,
// 0,0,0,9,0,0,5,0,0, // 0,0,0,9,0,0,5,0,0,
@ -79,52 +88,60 @@ impl SField {
} }
}); });
let mut known = Vec::with_capacity(size * size);
field.iter().for_each(|e| {
if *e == 0 {
known.push(0);
} else {
known.push(1);
}
});
SField { SField {
field, field,
fixed, fixed,
known,
size, size,
block_size, block_size,
pos: 0, pos: 0,
pos_last_placed: 0, pos_last_placed: 0,
num_fields: size * size, num_fields: size * size,
possible_values: vec![vec![]; size * size],
} }
} }
fn build_possible_values_db(&mut self) {
for idx in 0..self.num_fields {
if self.fixed[idx] == 1 {
continue;
}
self.pos = idx;
// try all values between 1 and =self.size and remember the good ones
let mut good_ones = Vec::with_capacity(self.size);
for nr in 1..=self.size {
if self.ok(nr) {
good_ones.push(nr);
}
}
self.possible_values[idx] = good_ones;
}
self.pos = 0;
}
pub fn solve_backtracking(&mut self) -> bool { pub fn solve_backtracking(&mut self) -> bool {
let mut found_solution = false; let mut found_solution = false;
let mut num_solutions = 0; let mut num_solutions = 0;
//let mut loop_count = 0;
loop { loop {
//println!("loop start"); //std::thread::sleep_ms(30);
//println!("==========================");
//std::thread::sleep(Duration::from_millis(100));
//self.print_clear(); //self.print_clear();
//println!("pos:{}", self.pos);
//self.print(); //self.print();
//loop_count += 1;
//if loop_count % 1000000 == 0 {
//self.print_clear();
//self.print();
//}
if self.is_end() { if self.is_end() {
//println!("is_end");
found_solution = true; found_solution = true;
num_solutions += 1; num_solutions += 1;
if num_solutions % 100 == 0 { if num_solutions % 100 == 0 {
self.print_clear(); self.print_clear();
println!("Solutions: {}", num_solutions); println!("Solutions: {}", num_solutions);
self.print(); self.print();
// std::thread::sleep(Duration::from_millis(1000));
} }
//std::thread::sleep(Duration::from_secs(2));
if self.is_fixed() { if self.is_fixed() {
// println!("is end is fixed");
continue; continue;
} }
self.clear_current_field(); self.clear_current_field();
@ -133,25 +150,22 @@ impl SField {
} }
if self.is_fixed() { if self.is_fixed() {
// println!("is fixed -> next");
self.next(); self.next();
continue; continue;
} }
if self.goto_next_free_field() { if self.goto_next_free_field() {
// println!("goto_next_free_field");
if self.put_valid_nr() { if self.put_valid_nr() {
// println!("placed valid nr");
self.next(); self.next();
continue; continue;
} else { } else {
// println!("could not place valid nr...going back"); //println!("put_valid_nr failed for pos {}", self.pos);
//std::thread::sleep_ms(300);
self.clear_current_field(); self.clear_current_field();
if !self.prev() { if !self.prev() {
println!("Number of solutions: {}", num_solutions); println!("Number of solutions: {}", num_solutions);
break; break;
} }
//println!("{} {}", self.pos.row, self.pos.col);
if !self.goto_prev_free_field() { if !self.goto_prev_free_field() {
println!("Number of solutions: {}", num_solutions); println!("Number of solutions: {}", num_solutions);
break; break;
@ -203,7 +217,7 @@ impl SField {
self.print_gray(); self.print_gray();
} }
print!("{} ", self.get_field_at_pos(i)); print!("{:2} ", self.get_field_at_pos(i));
if i == self.pos || i == self.pos_last_placed || self.get_field_at_pos(i) == 0 { if i == self.pos || i == self.pos_last_placed || self.get_field_at_pos(i) == 0 {
self.print_neutral(); self.print_neutral();
@ -217,6 +231,7 @@ impl SField {
self.set(0); self.set(0);
} }
#[inline(always)]
fn goto_prev_free_field(&mut self) -> bool { fn goto_prev_free_field(&mut self) -> bool {
while { while {
if !self.is_fixed() { if !self.is_fixed() {
@ -228,6 +243,7 @@ impl SField {
false false
} }
#[inline(always)]
fn goto_next_free_field(&mut self) -> bool { fn goto_next_free_field(&mut self) -> bool {
while { while {
if !self.is_fixed() { if !self.is_fixed() {
@ -239,22 +255,34 @@ impl SField {
false false
} }
fn goto_next_free_field_not_known(&mut self) -> bool { #[inline(always)]
while { fn _put_valid_nr(&mut self) -> bool {
if !self.is_fixed() && !self.is_known() { let current_nr = self.get_field_at_pos(self.pos);
for nr in current_nr..self.size + 1 {
if self.ok(nr) {
self.set(nr);
return true; return true;
} }
self.next() }
} {}
false false
} }
#[inline(always)]
fn put_valid_nr(&mut self) -> bool { fn put_valid_nr(&mut self) -> bool {
let current_nr = self.get_field_at_pos(self.pos); let current_nr = self.get_field_at_pos(self.pos);
for nr in current_nr..self.size + 1 {
if self.ok(nr) { let possible_vals = unsafe { self.possible_values.get_unchecked(self.pos) };
self.set(nr);
for idx in 0..possible_vals.len() {
let nr = unsafe { possible_vals.get_unchecked(idx) };
if *nr <= current_nr {
continue;
}
if self.ok(*nr) {
self.set(*nr);
return true; return true;
} }
} }
@ -271,84 +299,75 @@ impl SField {
self.block_ok(nr) && self.row_ok(nr) && self.col_ok(nr) self.block_ok(nr) && self.row_ok(nr) && self.col_ok(nr)
} }
#[inline(always)]
fn _pos_to_xy(&self) -> (usize, usize) {
let y = self.pos / self.size;
let x = self.pos % self.size;
(x + 1, y + 1)
}
#[inline(always)] #[inline(always)]
fn is_fixed(&self) -> bool { fn is_fixed(&self) -> bool {
unsafe { *self.fixed.get_unchecked(self.pos) == 1 } unsafe { *self.fixed.get_unchecked(self.pos) == 1 }
} }
#[inline(always)] #[inline(always)]
fn is_known(&self) -> bool { fn get_field_at_pos(&self, pos: usize) -> usize {
unsafe { *self.known.get_unchecked(self.pos) == 1 }
}
#[inline(always)]
fn get_field_at_pos(&self, pos: Pos) -> usize {
unsafe { *self.field.get_unchecked(pos) } unsafe { *self.field.get_unchecked(pos) }
} }
#[inline(always)] #[inline(always)]
fn set(&mut self, nr: usize) { fn set(&mut self, nr: usize) {
assert!(!self.is_fixed());
self.field[self.pos] = nr; self.field[self.pos] = nr;
self.pos_last_placed = self.pos; self.pos_last_placed = self.pos;
} }
#[inline(always)] #[inline(always)]
fn set_with_known(&mut self, nr: usize) { fn get_row(&self, row: &mut [usize; 9]) {
assert!(!self.is_fixed()); for (idx, row_elem) in row.iter_mut().enumerate() {
self.field[self.pos] = nr; *row_elem = self.get_field_at_pos((self.pos / self.size) * self.size + idx);
self.known[self.pos] = 1; }
self.pos_last_placed = self.pos;
} }
#[inline(always)] #[inline(always)]
fn get_row(&self) -> Vec<usize> { fn get_col(&self, col: &mut [usize; 9]) {
let mut row = Vec::with_capacity(self.size); for (idx, col_elem) in col.iter_mut().enumerate() {
for val in 0..self.size { *col_elem = self.get_field_at_pos(idx * self.size + self.pos % self.size);
row.push(self.get_field_at_pos((self.pos / self.size) * self.size + val));
} }
row
} }
#[inline(always)] #[inline(always)]
fn get_col(&self) -> Vec<usize> { fn get_block(&self, block: &mut [usize; 9]) {
let mut col = Vec::with_capacity(self.size);
for val in 0..self.size {
col.push(self.get_field_at_pos(val * self.size + self.pos % self.size));
}
col
}
#[inline(always)]
fn get_block(&self) -> Vec<usize> {
let mut block = Vec::with_capacity(self.size);
let block_start_row = self.pos / self.size / self.block_size * self.block_size; let block_start_row = self.pos / self.size / self.block_size * self.block_size;
let block_start_col = self.pos % self.size / self.block_size * self.block_size; let block_start_col = self.pos % self.size / self.block_size * self.block_size;
for r in 0..self.block_size { for r in 0..self.block_size {
for c in 0..self.block_size { for c in 0..self.block_size {
block.push( block[r * self.block_size + c] =
self.get_field_at_pos(self.size * (block_start_row + r) + block_start_col + c), self.get_field_at_pos(self.size * (block_start_row + r) + block_start_col + c);
);
} }
} }
block
} }
#[inline(always)] #[inline(always)]
fn block_ok(&self, nr: usize) -> bool { fn block_ok(&self, nr: usize) -> bool {
!self.get_block().contains(&nr) let mut block = [0; 9];
self.get_block(&mut block);
!block.contains(&nr)
} }
#[inline(always)] #[inline(always)]
fn row_ok(&self, nr: usize) -> bool { fn row_ok(&self, nr: usize) -> bool {
!self.get_row().contains(&nr) let mut row = [0; 9];
self.get_row(&mut row);
!row.contains(&nr)
} }
#[inline(always)] #[inline(always)]
fn col_ok(&self, nr: usize) -> bool { fn col_ok(&self, nr: usize) -> bool {
!self.get_col().contains(&nr) let mut col = [0; 9];
self.get_col(&mut col);
!col.contains(&nr)
} }
#[inline(always)] #[inline(always)]
@ -371,115 +390,20 @@ impl SField {
true true
} }
fn get_block_nums(&mut self) -> u16 { #[inline(always)]
let mut result = 0u16; fn solve(&mut self) {
for num in self.get_block().into_iter() {
if num > 0 {
result |= 1 << (num - 1);
}
}
// println!("blk: {} {:016b}", self.pos, result);
result
}
fn get_col_nums(&mut self) -> u16 {
let mut result = 0u16;
for num in self.get_col().into_iter() {
if num > 0 {
result |= 1 << (num - 1);
}
}
// println!("col: {} {:016b}", self.pos, result);
result
}
fn get_row_nums(&mut self) -> u16 {
let mut result = 0u16;
for num in self.get_row().into_iter() {
if num > 0 {
result |= 1 << (num - 1);
}
}
// println!("row: {} {:016b}", self.pos, result);
result
}
fn place_nr_by_deduction_if_possible(&mut self) -> bool {
let combined = self.get_row_nums() | self.get_col_nums() | self.get_block_nums();
let ones = combined.count_ones();
assert!(ones < 9); // should never have 9 ones because the field wouldn't be empty in the first place
if ones == 8 {
let nr = combined.trailing_ones() + 1;
self.set_with_known(nr as usize);
// println!("Placing nr: {} at pos: {}", nr, self.pos);
return true;
}
false
}
fn solve_deduction(&mut self) -> bool {
return false;
let mut was_able_to_place_nr = false;
loop {
if self.goto_next_free_field_not_known() {
was_able_to_place_nr |= self.place_nr_by_deduction_if_possible();
if !self.next() {
if was_able_to_place_nr {
self.pos = 0;
was_able_to_place_nr = false;
} else {
self.pos = 0;
return self.is_end();
}
}
} else {
if was_able_to_place_nr {
self.pos = 0;
was_able_to_place_nr = false;
} else {
self.pos = 0;
return self.is_end();
}
}
}
}
fn solve(&mut self) -> bool {
//loop {
//if self.solve_deduction() {
//break;
//} else {
self.pos = 0;
println!("Falling back to backtracking");
if !self.solve_backtracking() { if !self.solve_backtracking() {
println!("there is no solution."); println!("there is no solution.");
return false;
} }
//}
//}
self.print();
true
} }
} }
fn run() -> Result<(), String> { fn run() -> Result<(), String> {
let mut field = SField::new(3); let mut field = SField::new(3);
field.build_possible_values_db();
field.solve(); field.solve();
//field.get_row_missing_numbers(&Pos{row:4, col:5});
Ok(()) Ok(())
} }