結果
| 問題 | No.1421 国勢調査 (Hard) |
| ユーザー |
 togatoga
|
| 提出日時 | 2021-03-08 10:14:23 |
| 言語 | Rust (1.77.0 + proconio) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 64,032 bytes |
| コンパイル時間 | 15,422 ms |
| コンパイル使用メモリ | 380,084 KB |
| 実行使用メモリ | 62,592 KB |
| 最終ジャッジ日時 | 2024-10-09 19:25:22 |
| 合計ジャッジ時間 | 30,483 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge2 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 1 ms
10,496 KB |
| testcase_01 | AC | 2 ms
5,248 KB |
| testcase_02 | AC | 1,108 ms
32,512 KB |
| testcase_03 | AC | 1,352 ms
35,712 KB |
| testcase_04 | TLE | - |
| testcase_05 | AC | 1,624 ms
39,680 KB |
| testcase_06 | AC | 1,904 ms
43,264 KB |
| testcase_07 | TLE | - |
| testcase_08 | TLE | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
| testcase_28 | -- | - |
| testcase_29 | -- | - |
| testcase_30 | -- | - |
| testcase_31 | -- | - |
コンパイルメッセージ
warning: unused borrow that must be used
--> src/main.rs:1524:26
|
1524 | unsafe { &mut (*watchers_ptr)[!clause[1]].push(w) };
| ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ the borrow produces a value
|
= note: `#[warn(unused_must_use)]` on by default
help: use `let _ = ...` to ignore the resulting value
|
1524 | unsafe { let _ = &mut (*watchers_ptr)[!clause[1]].push(w); };
| +++++++ +
ソースコード
// The main code is at the very bottom.
#[allow(unused_imports)]
use {
lib::byte::ByteChar,
std::cell::{Cell, RefCell},
std::cmp::{
self,
Ordering::{self, *},
Reverse,
},
std::collections::*,
std::convert::identity,
std::fmt::{self, Debug, Display, Formatter},
std::io::prelude::*,
std::iter::{self, FromIterator},
std::marker::PhantomData,
std::mem,
std::num::Wrapping,
std::ops::{Range, RangeFrom, RangeInclusive, RangeTo, RangeToInclusive},
std::process,
std::rc::Rc,
std::thread,
std::time::{Duration, Instant},
std::{char, f32, f64, i128, i16, i32, i64, i8, isize, str, u128, u16, u32, u64, u8, usize},
};
#[allow(unused_imports)]
#[macro_use]
pub mod lib {
pub mod byte {
pub use self::byte_char::*;
mod byte_char {
use std::error::Error;
use std::fmt::{self, Debug, Display, Formatter};
use std::str::FromStr;
#[derive(Clone, Copy, Default, PartialEq, Eq, PartialOrd, Ord, Hash)]
#[repr(transparent)]
pub struct ByteChar(pub u8);
impl Debug for ByteChar {
fn fmt(&self, f: &mut Formatter) -> fmt::Result {
write!(f, "b'{}'", self.0 as char)
}
}
impl Display for ByteChar {
fn fmt(&self, f: &mut Formatter) -> fmt::Result {
write!(f, "{}", self.0 as char)
}
}
impl FromStr for ByteChar {
type Err = ParseByteCharError;
fn from_str(s: &str) -> Result<ByteChar, ParseByteCharError> {
match s.as_bytes().len() {
1 => Ok(ByteChar(s.as_bytes()[0])),
0 => Err(ParseByteCharErrorKind::EmptyStr.into()),
_ => Err(ParseByteCharErrorKind::TooManyBytes.into()),
}
}
}
#[derive(Clone, Copy, PartialEq, Eq, Hash, Debug)]
pub struct ParseByteCharError {
kind: ParseByteCharErrorKind,
}
impl Display for ParseByteCharError {
fn fmt(&self, f: &mut Formatter) -> fmt::Result {
f.write_str(match self.kind {
ParseByteCharErrorKind::EmptyStr => "empty string",
ParseByteCharErrorKind::TooManyBytes => "too many bytes",
})
}
}
impl Error for ParseByteCharError {}
#[derive(Clone, Copy, PartialEq, Eq, Hash, Debug)]
enum ParseByteCharErrorKind {
EmptyStr,
TooManyBytes,
}
impl From<ParseByteCharErrorKind> for ParseByteCharError {
fn from(kind: ParseByteCharErrorKind) -> ParseByteCharError {
ParseByteCharError { kind }
}
}
}
}
pub mod io {
pub use self::scanner::*;
mod scanner {
use std::io::{self, BufRead};
use std::iter;
use std::str::FromStr;
#[derive(Debug)]
pub struct Scanner<R> {
reader: R,
buf: String,
pos: usize,
}
impl<R: BufRead> Scanner<R> {
pub fn new(reader: R) -> Self {
Scanner {
reader,
buf: String::new(),
pos: 0,
}
}
pub fn next(&mut self) -> io::Result<&str> {
let start = loop {
match self.rest().find(|c| c != ' ') {
Some(i) => break i,
None => self.fill_buf()?,
}
};
self.pos += start;
let len = self.rest().find(' ').unwrap_or(self.rest().len());
let s = &self.buf[self.pos..][..len]; // self.rest()[..len]
self.pos += len;
Ok(s)
}
pub fn parse_next<T>(&mut self) -> io::Result<Result<T, T::Err>>
where
T: FromStr,
{
Ok(self.next()?.parse())
}
pub fn parse_next_n<T>(&mut self, n: usize) -> io::Result<Result<Vec<T>, T::Err>>
where
T: FromStr,
{
iter::repeat_with(|| self.parse_next()).take(n).collect()
}
pub fn map_next_bytes<T, F>(&mut self, mut f: F) -> io::Result<Vec<T>>
where
F: FnMut(u8) -> T,
{
Ok(self.next()?.bytes().map(&mut f).collect())
}
pub fn map_next_bytes_n<T, F>(&mut self, n: usize, mut f: F) -> io::Result<Vec<Vec<T>>>
where
F: FnMut(u8) -> T,
{
iter::repeat_with(|| self.map_next_bytes(&mut f))
.take(n)
.collect()
}
fn rest(&self) -> &str {
&self.buf[self.pos..]
}
fn fill_buf(&mut self) -> io::Result<()> {
self.buf.clear();
self.pos = 0;
let read = self.reader.read_line(&mut self.buf)?;
if read == 0 {
return Err(io::ErrorKind::UnexpectedEof.into());
}
if *self.buf.as_bytes().last().unwrap() == b'\n' {
self.buf.pop();
}
Ok(())
}
}
}
}
}
// https://github.com/togatoga/screwsat/tree/088bdf73960140da090b5132bc635b26c08531cb
//
// LICENSE:
//
// MIT License
//
// Copyright (c) 2019 Hitoshi Togasaki
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
// MiniSat -- Copyright (c) 2003-2006, Niklas Een, Niklas Sorensson
// Copyright (c) 2007-2010 Niklas Sorensson
// RatSat -- Copyright (c) 2018-2018, Masaki Hara
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the
// "Software"), to deal in the Software without restriction, including
// without limitation the rights to use, copy, modify, merge, publish,
// distribute, sublicense, and/or sell copies of the Software, and to
// permit persons to whom the Software is furnished to do so, subject to
// the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
// MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
// LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
// OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
// WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
#[allow(dead_code)]
mod screwsat {
pub mod solver {
use std::{
fmt,
marker::PhantomData,
ops::{Index, IndexMut},
time::{Duration, Instant},
vec,
};
const TOP_LEVEL: usize = 0;
#[derive(Debug, Default, PartialEq, Eq, PartialOrd, Ord, Hash, Clone, Copy)]
pub struct Var(pub u32);
impl Var {
#[allow(dead_code)]
fn from_idx(x: usize) -> Var {
Var(x as u32)
}
}
#[derive(Debug, Default, PartialEq, Eq, PartialOrd, Ord, Hash, Clone, Copy)]
pub struct Lit(u32);
impl Lit {
pub fn new(var: u32, positive: bool) -> Lit {
Lit(if positive { var << 1 } else { (var << 1) + 1 })
}
#[inline]
pub fn var(self) -> Var {
Var(self.0 >> 1)
}
#[inline]
pub fn pos(&self) -> bool {
self.0 & 1 == 0
}
#[inline]
pub fn neg(&self) -> bool {
self.0 & 1 != 0
}
}
impl From<i32> for Lit {
#[inline]
fn from(x: i32) -> Self {
debug_assert!(x != 0);
let d = x.abs() as u32 - 1;
if x > 0 {
Lit(d << 1)
} else {
Lit((d << 1) + 1)
}
}
}
impl std::ops::Not for Lit {
type Output = Self;
#[inline]
fn not(self) -> Self::Output {
Lit(self.0 ^ 1)
}
}
struct ClauseRef<'a> {
header: ClauseHeader,
clause: &'a [ClauseData],
extra: Option<ClauseData>,
}
impl<'a> ClauseRef<'a> {
fn activity(&self) -> f32 {
unsafe { self.extra.as_ref().expect("No activity").act }
}
fn len(&self) -> usize {
self.clause.len()
}
#[allow(dead_code)]
fn iter(&self) -> ClauseIter {
ClauseIter(self.clause.iter())
}
pub fn reloced(&self) -> bool {
self.header.reloced()
}
#[allow(dead_code)]
pub fn relocation(&self) -> CRef {
debug_assert!(self.reloced());
unsafe { self.clause[0].cref }
}
}
impl<'a> Index<usize> for ClauseRef<'a> {
type Output = Lit;
fn index(&self, idx: usize) -> &Self::Output {
unsafe { &self.clause[idx].lit }
}
}
struct ClauseMut<'a> {
header: &'a mut ClauseHeader,
clause: &'a mut [ClauseData],
extra: Option<&'a mut ClauseData>,
}
impl<'a> ClauseMut<'a> {
fn set_activity(&mut self, act: f32) {
self.extra.as_mut().expect("No extra field").act = act;
}
fn activity(&self) -> f32 {
unsafe { self.extra.as_ref().expect("No activity").act }
}
fn len(&self) -> usize {
self.clause.len()
}
fn swap(&mut self, x: usize, y: usize) {
self.clause.swap(x, y);
}
#[allow(dead_code)]
fn iter(&self) -> ClauseIter {
ClauseIter(self.clause.iter())
}
#[allow(dead_code)]
fn iter_mut(&mut self) -> ClauseIterMut {
ClauseIterMut(self.clause.iter_mut())
}
pub fn reloced(&self) -> bool {
self.header.reloced()
}
pub fn relocation(&self) -> CRef {
debug_assert!(self.reloced());
unsafe { self.clause[0].cref }
}
pub fn set_reloced(&mut self, reloced: bool) {
self.header.set_reloced(reloced);
}
pub fn relocate(mut self, c: CRef) {
debug_assert!(!self.reloced());
self.set_reloced(true);
self.clause[0].cref = c;
}
pub fn as_clause_ref(&mut self) -> ClauseRef {
ClauseRef {
header: *self.header,
clause: self.clause,
extra: self.extra.as_mut().map(|extra| **extra),
}
}
}
impl<'a> Index<usize> for ClauseMut<'a> {
type Output = Lit;
fn index(&self, idx: usize) -> &Self::Output {
unsafe { &self.clause[idx].lit }
}
}
impl<'a> IndexMut<usize> for ClauseMut<'a> {
fn index_mut(&mut self, index: usize) -> &mut Self::Output {
unsafe { &mut self.clause[index as usize].lit }
}
}
#[derive(Debug, Clone)]
pub struct ClauseIter<'a>(std::slice::Iter<'a, ClauseData>);
impl<'a> Iterator for ClauseIter<'a> {
type Item = &'a Lit;
fn next(&mut self) -> Option<Self::Item> {
self.0.next().map(|lit| unsafe { &lit.lit })
}
fn size_hint(&self) -> (usize, Option<usize>) {
self.0.size_hint()
}
}
impl<'a> DoubleEndedIterator for ClauseIter<'a> {
fn next_back(&mut self) -> Option<Self::Item> {
self.0.next_back().map(|lit| unsafe { &lit.lit })
}
}
#[derive(Debug)]
pub struct ClauseIterMut<'a>(std::slice::IterMut<'a, ClauseData>);
impl<'a> Iterator for ClauseIterMut<'a> {
type Item = &'a mut Lit;
fn next(&mut self) -> Option<Self::Item> {
self.0.next().map(|lit| unsafe { &mut lit.lit })
}
fn size_hint(&self) -> (usize, Option<usize>) {
self.0.size_hint()
}
}
impl<'a> DoubleEndedIterator for ClauseIterMut<'a> {
fn next_back(&mut self) -> Option<Self::Item> {
self.0.next_back().map(|lit| unsafe { &mut lit.lit })
}
}
#[derive(Debug)]
struct RegionAllocator<T: Copy + Default> {
data: Vec<T>,
wasted: usize,
}
#[derive(Debug, Default, Clone, Copy)]
struct Ref<T: Copy>(usize, PhantomData<T>);
impl<T: Copy> PartialEq for Ref<T> {
fn eq(&self, other: &Self) -> bool {
self.0 == other.0
}
}
impl<T: Copy> std::ops::Add<usize> for Ref<T> {
type Output = Ref<T>;
fn add(self, rhs: usize) -> Self::Output {
Ref(self.0 + rhs, PhantomData)
}
}
impl<T: Copy + Default> RegionAllocator<T> {
fn new() -> RegionAllocator<T> {
RegionAllocator {
data: Vec::with_capacity(1024 * 1024),
wasted: 0,
}
}
fn with_capacity(n: usize) -> RegionAllocator<T> {
RegionAllocator {
data: Vec::with_capacity(n),
wasted: 0,
}
}
fn len(&self) -> usize {
self.data.len()
}
fn capacity(&self) -> usize {
self.data.capacity()
}
fn free(&mut self, size: usize) {
debug_assert!(size <= self.capacity());
self.wasted += size;
}
fn wasted(&self) -> usize {
self.wasted
}
fn alloc(&mut self, size: usize) -> Ref<T> {
let r = self.len();
self.data.extend((0..size).map(|_| T::default()));
Ref(r, PhantomData)
}
pub fn subslice(&self, r: Ref<T>, len: usize) -> &[T] {
debug_assert!(len <= self.len());
&self.data[r.0..r.0 + len]
}
pub fn subslice_mut(&mut self, r: Ref<T>, len: usize) -> &mut [T] {
debug_assert!(len <= self.len());
&mut self.data[r.0..r.0 + len]
}
}
impl<T: Copy + Default> Index<Ref<T>> for RegionAllocator<T> {
type Output = T;
fn index(&self, r: Ref<T>) -> &Self::Output {
&self.data[r.0]
}
}
impl<T: Copy + Default> IndexMut<Ref<T>> for RegionAllocator<T> {
fn index_mut(&mut self, r: Ref<T>) -> &mut Self::Output {
&mut self.data[r.0]
}
}
#[derive(Clone, Copy)]
#[repr(C)]
union ClauseData {
lit: Lit,
abs: u32,
act: f32,
header: ClauseHeader,
cref: CRef,
}
impl Default for ClauseData {
fn default() -> Self {
ClauseData { abs: 0 }
}
}
impl fmt::Debug for ClauseData {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
f.debug_struct("ClauseData")
.field("abs", unsafe { &self.abs })
.finish()
}
}
#[derive(Clone, Copy)]
pub struct ClauseHeader(u32);
impl ClauseHeader {
pub fn new(mark: u32, learnt: bool, has_extra: bool, reloced: bool, size: u32) -> Self {
debug_assert!(mark < 4);
debug_assert!(size < (1 << 27));
ClauseHeader(
(mark << 30)
| ((learnt as u32) << 29)
| ((has_extra as u32) << 28)
| ((reloced as u32) << 27)
| size,
)
}
pub fn mark(&self) -> u32 {
self.0 >> 30
}
pub fn free(&self) -> bool {
self.mark() == 1
}
pub fn learnt(&self) -> bool {
(self.0 & (1 << 29)) != 0
}
pub fn has_extra(&self) -> bool {
(self.0 & (1 << 28)) != 0
}
pub fn reloced(&self) -> bool {
(self.0 & (1 << 27)) != 0
}
pub fn size(&self) -> u32 {
self.0 & ((1 << 27) - 1)
}
pub fn set_mark(&mut self, mark: u32) {
debug_assert!(mark < 4);
self.0 = (self.0 & !(3 << 30)) | (mark << 30);
}
pub fn set_learnt(&mut self, learnt: bool) {
self.0 = (self.0 & !(1 << 29)) | ((learnt as u32) << 29);
}
pub fn set_has_extra(&mut self, has_extra: bool) {
self.0 = (self.0 & !(1 << 28)) | ((has_extra as u32) << 28);
}
pub fn set_reloced(&mut self, reloced: bool) {
self.0 = (self.0 & !(1 << 27)) | ((reloced as u32) << 27);
}
pub fn set_size(&mut self, size: u32) {
debug_assert!(size < (1 << 27));
self.0 = (self.0 & !((1 << 27) - 1)) | size;
}
}
type CRef = Ref<ClauseData>;
#[derive(Debug)]
struct ClauseAllocator {
ra: RegionAllocator<ClauseData>,
}
impl ClauseAllocator {
fn new() -> ClauseAllocator {
ClauseAllocator {
ra: RegionAllocator::new(),
}
}
fn with_capacity(n: usize) -> ClauseAllocator {
ClauseAllocator {
ra: RegionAllocator::with_capacity(n),
}
}
fn unit_region(len: usize, extra: bool) -> usize {
1 + len + extra as usize
}
fn alloc(&mut self, clause: &[Lit], learnt: bool) -> CRef {
let use_extra = learnt;
let cid = self
.ra
.alloc(ClauseAllocator::unit_region(clause.len(), learnt));
self.ra[cid].header = ClauseHeader::new(0, learnt, use_extra, false, clause.len() as u32);
let clause_ptr = cid + 1;
for (i, &lit) in clause.iter().enumerate() {
self.ra[clause_ptr + i as usize].lit = lit;
}
if learnt {
self.ra[clause_ptr + clause.len() as usize].act = 0.0;
}
cid
}
pub fn alloc_copy(&mut self, from: ClauseRef) -> CRef {
let use_extra = from.header.learnt();
let cid = self
.ra
.alloc(1 + from.header.size() as usize + use_extra as usize);
self.ra[cid].header = from.header;
unsafe { &mut self.ra[cid].header }.set_has_extra(use_extra);
for (i, &lit) in from.iter().enumerate() {
self.ra[cid + 1 + i as usize].lit = lit;
}
if use_extra {
self.ra[cid + 1 + from.len() as usize] = from.extra.expect("Extra");
}
cid
}
pub fn free(&mut self, cr: CRef) {
let size = {
let c = self.get(cr);
1 + c.len() + c.header.has_extra() as usize
};
self.ra.free(size);
}
pub fn reloc(&mut self, cr: &mut CRef, to: &mut ClauseAllocator) {
let mut c = self.get_mut(*cr);
if c.header.reloced() {
*cr = c.relocation();
return;
}
*cr = to.alloc_copy(c.as_clause_ref());
c.relocate(*cr);
}
fn get(&self, cref: CRef) -> ClauseRef {
let header = unsafe { self.ra[cref].header };
let has_extra = header.has_extra();
let size = header.size();
let clause = self.ra.subslice(cref + 1, size as usize);
let extra = if has_extra {
Some(self.ra[cref + 1 + size as usize])
} else {
None
};
ClauseRef {
header,
clause,
extra,
}
}
fn get_mut(&mut self, cref: CRef) -> ClauseMut {
let header = unsafe { self.ra[cref].header };
let has_extra = header.has_extra();
let size = header.size();
let len = 1 + size + has_extra as u32;
let subslice = self.ra.subslice_mut(cref, len as usize);
let (subslice0, subslice) = subslice.split_at_mut(1);
let (subslice1, subslice2) = subslice.split_at_mut(size as usize);
ClauseMut {
header: unsafe { &mut subslice0[0].header },
clause: subslice1,
extra: subslice2.first_mut(),
}
}
fn len(&self) -> usize {
self.ra.len()
}
fn wasted(&self) -> usize {
self.ra.wasted()
}
}
#[derive(Debug)]
struct ClauseDB {
clauses: Vec<CRef>,
learnts: Vec<CRef>,
db: ClauseAllocator,
clause_inc: f32,
}
impl Default for ClauseDB {
fn default() -> Self {
ClauseDB {
clauses: Vec::default(),
learnts: Vec::default(),
db: ClauseAllocator::new(),
clause_inc: 1.0,
}
}
}
impl ClauseDB {
fn bump_activity(&mut self, cr: CRef) {
let act = {
let mut clause = self.db.get_mut(cr);
let new_act = clause.activity() + self.clause_inc as f32;
clause.set_activity(new_act);
new_act
};
if act > 1e20 {
let n: usize = self.learnts.len();
for i in 0..n {
let x = self.learnts[i];
let mut clause = self.db.get_mut(x);
debug_assert!(clause.header.learnt());
let new_act = clause.activity() * 1e-20;
clause.set_activity(new_act);
}
self.clause_inc *= 1e-20;
}
}
fn decay_inc(&mut self) {
self.clause_inc /= 0.999;
}
pub fn push(&mut self, lits: &[Lit], learnt: bool) -> CRef {
let cref = self.db.alloc(lits, learnt);
if learnt {
self.learnts.push(cref);
} else {
self.clauses.push(cref);
}
cref
}
fn need_collect_garbage(&mut self) -> bool {
self.db.wasted() * 10 > self.db.len() * 2
}
fn collect_garbage_if_needed(
&mut self,
watchers: &mut Vec<Vec<Watcher>>,
bin_watchers: &mut Vec<Vec<Watcher>>,
vardata: &mut VarData,
) {
if self.need_collect_garbage() {
self.collect_garbage(watchers, bin_watchers, vardata);
}
}
fn collect_garbage(
&mut self,
watchers: &mut Vec<Vec<Watcher>>,
bin_watchers: &mut Vec<Vec<Watcher>>,
vardata: &mut VarData,
) {
let mut to = ClauseAllocator::with_capacity(self.db.len() - self.db.wasted());
for watcher in watchers.iter_mut() {
for ws in watcher.iter_mut() {
self.db.reloc(&mut ws.cref, &mut to);
}
}
for watcher in bin_watchers.iter_mut() {
for ws in watcher.iter_mut() {
self.db.reloc(&mut ws.cref, &mut to);
}
}
{
let trail = &vardata.trail.stack;
for &lit in trail.iter() {
let cond = if let Some(cref) = vardata.reason[lit.var()] {
let c = self.db.get(cref);
c.reloced() || vardata.locked(c[0], cref)
} else {
false
};
if cond {
let mut cref = vardata.reason[lit.var()].as_mut().expect("not found");
self.db.reloc(&mut cref, &mut to);
}
}
}
{
let mut j = 0;
for i in 0..self.learnts.len() {
let mut cr = self.learnts[i];
let removed = self.db.get(cr).header.free();
if !removed {
self.db.reloc(&mut cr, &mut to);
self.learnts[j] = cr;
j += 1;
}
}
self.learnts.truncate(j);
}
{
let mut j = 0;
for i in 0..self.clauses.len() {
let mut cr = self.clauses[i];
let removed = self.db.get(cr).header.free();
if !removed {
self.db.reloc(&mut cr, &mut to);
self.clauses[j] = cr;
j += 1;
}
}
self.clauses.truncate(j);
}
self.db = to;
}
}
#[derive(PartialEq, Debug, Copy, Clone)]
/// The status of a problem that solver solved.
/// - `Sat` a solver found that a given problem is SATISFIABLE.
/// - `Unsat` a solver found that a given problem is UNSATISFIABLE.
/// - `Indeterminate` a solver stopped searching.
pub enum Status {
Sat,
Unsat,
Indeterminate,
}
#[derive(PartialEq, Debug, Copy, Clone)]
pub enum LitBool {
True = 0,
False = 1,
Undef = 2,
}
impl From<i8> for LitBool {
#[inline]
fn from(x: i8) -> Self {
match x {
0 => LitBool::True,
1 => LitBool::False,
_ => LitBool::Undef,
}
}
}
impl<T> Index<Var> for Vec<T> {
type Output = T;
#[inline]
fn index(&self, var: Var) -> &Self::Output {
#[cfg(feature = "unsafe")]
unsafe {
self.get_unchecked(var.0 as usize)
}
#[cfg(not(feature = "unsafe"))]
&self[var.0 as usize]
}
}
impl<T> IndexMut<Var> for Vec<T> {
#[inline]
fn index_mut(&mut self, var: Var) -> &mut Self::Output {
#[cfg(feature = "unsafe")]
unsafe {
self.get_unchecked_mut(var.0 as usize)
}
#[cfg(not(feature = "unsafe"))]
&mut self[var.0 as usize]
}
}
impl<T> Index<Lit> for Vec<T> {
type Output = T;
#[inline]
fn index(&self, lit: Lit) -> &Self::Output {
#[cfg(feature = "unsafe")]
unsafe {
&self.get_unchecked(lit.0 as usize)
}
#[cfg(not(feature = "unsafe"))]
&self[lit.0 as usize]
}
}
impl<T> IndexMut<Lit> for Vec<T> {
#[inline]
fn index_mut(&mut self, lit: Lit) -> &mut Self::Output {
#[cfg(feature = "unsafe")]
unsafe {
self.get_unchecked_mut(lit.0 as usize)
}
#[cfg(not(feature = "unsafe"))]
&mut self[lit.0 as usize]
}
}
#[derive(Debug, Clone)]
struct Heap {
heap: Vec<Var>,
indices: Vec<Option<usize>>,
activity: Vec<f64>,
bump_inc: f64,
}
impl Default for Heap {
fn default() -> Self {
Heap {
heap: Vec::default(),
indices: Vec::default(),
activity: Vec::default(),
bump_inc: 1.0,
}
}
}
impl Heap {
pub fn new(n: usize, bump_inc: f64) -> Heap {
Heap {
heap: (0..n).map(|x| Var(x as u32)).collect(),
indices: (0..n).map(Some).collect(),
activity: vec![0.0; n],
bump_inc,
}
}
fn gt(&self, left: Var, right: Var) -> bool {
self.activity[left] > self.activity[right]
}
#[allow(dead_code)]
fn top(self) -> Option<Var> {
if self.heap.is_empty() {
return None;
}
Some(self.heap[0])
}
pub fn decay_inc(&mut self) {
self.bump_inc /= 0.95;
}
pub fn bump_activity(&mut self, v: Var) {
self.activity[v] += self.bump_inc;
if self.activity[v] >= 1e100 {
for i in 0..self.activity.len() {
self.activity[i] *= 1e-100;
}
self.bump_inc *= 1e-100;
}
if self.in_heap(v) {
let idx = self.indices[v].expect("No index");
self.up(idx);
}
}
#[allow(dead_code)]
fn update(&mut self, v: Var) {
if !self.in_heap(v) {
self.push(v);
} else {
let idx = self.indices[v].unwrap();
self.up(idx);
self.down(idx);
}
}
fn up(&mut self, i: usize) {
if i == 0 {
return;
}
let mut idx = i;
let x = self.heap[idx];
let mut par = (idx - 1) >> 1;
loop {
if !self.gt(x, self.heap[par]) {
break;
}
self.heap[idx] = self.heap[par];
self.indices[self.heap[par]] = Some(idx);
idx = par;
if idx == 0 {
break;
}
par = (par - 1) >> 1;
}
self.heap[idx] = x;
self.indices[x] = Some(idx);
}
fn pop(&mut self) -> Option<Var> {
if self.heap.is_empty() {
return None;
}
let x = self.heap[0];
self.indices[x] = None;
if self.heap.len() > 1 {
self.heap[0] = *self.heap.last().unwrap();
self.indices[self.heap[0]] = Some(0);
}
self.heap.pop();
if self.heap.len() > 1 {
self.down(0);
}
Some(x)
}
fn down(&mut self, i: usize) {
let x = self.heap[i];
let mut idx = i;
while 2 * idx + 1 < self.heap.len() {
let left = 2 * idx + 1;
let right = left + 1;
let child = if right < self.heap.len() && self.gt(self.heap[right], self.heap[left]) {
right
} else {
left
};
if self.gt(self.heap[child], x) {
self.heap[idx] = self.heap[child];
self.indices[self.heap[idx]] = Some(idx);
idx = child;
} else {
break;
}
}
self.heap[idx] = x;
self.indices[x] = Some(idx);
}
fn push(&mut self, v: Var) {
if self.in_heap(v) {
return;
}
while (v.0 as usize) >= self.indices.len() {
self.indices.push(None);
self.activity.push(0.0);
}
self.indices[v] = Some(self.heap.len());
self.heap.push(v);
self.up(self.indices[v].expect("No index"));
}
fn in_heap(&mut self, v: Var) -> bool {
(v.0 as usize) < self.indices.len() && self.indices[v].is_some()
}
}
#[derive(Debug, Default)]
struct Analayzer {
seen: Vec<bool>,
ccmin_stack: Vec<CRef>,
ccmin_clear: Vec<Lit>,
analyze_toclear: Vec<Lit>,
learnt_clause: Vec<Lit>,
}
impl Analayzer {
fn new(n: usize) -> Analayzer {
Analayzer {
seen: vec![false; n],
ccmin_stack: Vec::new(),
ccmin_clear: Vec::new(),
learnt_clause: Vec::new(),
analyze_toclear: Vec::new(),
}
}
}
/// The assignment data structure
#[derive(Debug, Default)]
struct AssignTrail {
/// Assignment stack; stores all assigments made in the order they were made.
stack: Vec<Lit>,
/// Separator indices for different decision levels in `trail`.
stack_limit: Vec<usize>,
/// Head of the `trail`.
peek_head: usize,
}
impl AssignTrail {
fn new() -> AssignTrail {
AssignTrail {
stack: Vec::new(),
stack_limit: Vec::new(),
peek_head: 0,
}
}
fn new_descion_level(&mut self) {
self.stack_limit.push(self.stack.len());
}
#[inline]
fn decision_level(&self) -> usize {
self.stack_limit.len()
}
#[inline]
fn peekable(&self) -> bool {
self.peek_head < self.stack.len()
}
#[inline]
fn peek(&self) -> Lit {
self.stack[self.peek_head]
}
#[inline]
fn advance(&mut self) {
self.peek_head += 1;
}
fn push(&mut self, x: Lit) {
self.stack.push(x);
}
}
#[derive(Debug, Default)]
struct VarData {
/// assignments for each variable
assigns: Vec<LitBool>,
polarity: Vec<bool>,
/// decision level(0: minimumlevel)
level: Vec<usize>,
reason: Vec<Option<CRef>>,
trail: AssignTrail,
}
impl VarData {
fn new(n: usize) -> VarData {
VarData {
assigns: vec![LitBool::Undef; n],
polarity: vec![false; n],
level: vec![TOP_LEVEL; n],
reason: vec![None; n],
trail: AssignTrail::new(),
}
}
fn assign(&mut self, var: Var, lb: LitBool, level: usize, reason: Option<CRef>) {
self.assigns[var] = lb;
self.level[var] = level;
self.reason[var] = reason;
}
fn level(&self, v: Var) -> usize {
self.level[v]
}
#[inline]
fn eval(&self, lit: Lit) -> LitBool {
LitBool::from(self.assigns[lit.var()] as i8 ^ lit.neg() as i8)
}
fn locked(&self, c: Lit, cref: CRef) -> bool {
if self.eval(c) == LitBool::True {
if let Some(reason) = self.reason[c.var()].as_ref() {
return *reason == cref;
}
}
false
}
fn num_assings(&self) -> usize {
self.trail.stack.len()
}
/// Enqueue a variable to assign a `value` to a boolean `assign`
fn enqueue(&mut self, lit: Lit, reason: Option<CRef>) {
debug_assert!(self.eval(lit) == LitBool::Undef);
debug_assert!(self.level(lit.var()) == TOP_LEVEL);
self.assign(
lit.var(),
LitBool::from(lit.neg() as i8),
self.trail.decision_level(),
reason,
);
self.trail.push(lit);
}
}
#[derive(Debug, Clone, Copy)]
struct RestartStrategy {
/// The initial restart limit. (default 100)
first: i32,
/// The factor with which the restart limit is multiplied in each restart. (default 2.5)
inc: f64,
}
impl Default for RestartStrategy {
fn default() -> Self {
RestartStrategy {
first: 100,
inc: 2.5,
}
}
}
impl RestartStrategy {
fn luby(&mut self, mut x: i32) -> f64 {
let mut size = 1;
let mut seq = 0;
while size < x + 1 {
seq += 1;
size = 2 * size + 1;
}
while size - 1 != x {
size = (size - 1) >> 1;
seq -= 1;
x %= size;
}
f64::powi(self.inc, seq) * self.first as f64
}
}
#[derive(Debug, Clone, Copy)]
struct LearntSizeStrategy {
/// The intitial limit for learnt clauses is a factor of the original clauses. (default 1 / 3)
factor: f64,
/// The limit for learnt clauses is multiplied with this factor each restart. (default 1.1)
inc: f64,
/// (default 1.5)
adjust_inc: f64,
adjust_start_confl: i32,
adjust_confl: f64,
adjust_cnt: i32,
max_learnts: f64,
}
impl Default for LearntSizeStrategy {
fn default() -> Self {
LearntSizeStrategy {
factor: 1.0 / 3.0,
inc: 1.1,
adjust_start_confl: 100,
adjust_inc: 1.5,
adjust_cnt: 0,
adjust_confl: 0.0,
max_learnts: 0.0,
}
}
}
impl LearntSizeStrategy {
fn init(&mut self, num_clauses: usize) {
self.max_learnts = num_clauses as f64 * self.factor;
self.adjust_confl = self.adjust_start_confl as f64;
self.reset_adjust_cnt();
}
fn dec_adjust_cnt(&mut self) {
self.adjust_cnt -= 1;
}
fn adjust_if_needed(&mut self) {
if self.adjust_cnt <= 0 {
self.adjust();
}
}
fn reset_adjust_cnt(&mut self) {
self.adjust_cnt = self.adjust_confl as i32;
}
fn adjust(&mut self) {
self.adjust_confl *= self.adjust_inc;
self.reset_adjust_cnt();
self.max_learnts *= self.inc;
}
}
#[derive(Debug, Default, Clone, Copy)]
struct Watcher {
cref: CRef,
blocker: Lit,
}
impl Watcher {
fn new(cref: CRef, blocker: Lit) -> Watcher {
Watcher { cref, blocker }
}
}
#[derive(Debug, Default, Clone, Copy)]
struct SimplifyDB {
/// Number of top-level assignments since last execution of 'simplify()'.
simp_db_assigns: i32,
}
#[derive(Debug, Default)]
pub struct Solver {
n: usize,
db: ClauseDB,
watchers: Vec<Vec<Watcher>>,
bin_watchers: Vec<Vec<Watcher>>,
analyzer: Analayzer,
vardata: VarData,
order_heap: Heap,
restart_strat: RestartStrategy,
learnt_size_start: LearntSizeStrategy,
simplify_db: SimplifyDB,
pub models: Vec<LitBool>,
pub status: Option<Status>,
}
impl Solver {
/// Create a new `Solver` struct
///
/// # Arguments
/// * `n` - The number of variable
/// * `clauses` - All clauses that solver solves
pub fn new(n: usize, clauses: &[Vec<Lit>]) -> Solver {
let mut solver = Solver {
n,
db: ClauseDB::default(),
analyzer: Analayzer::new(n),
vardata: VarData::new(n),
order_heap: Heap::new(n, 1.0),
restart_strat: RestartStrategy::default(),
learnt_size_start: LearntSizeStrategy::default(),
simplify_db: SimplifyDB::default(),
watchers: vec![vec![]; 2 * n],
bin_watchers: vec![vec![]; 2 * n],
status: None,
models: vec![LitBool::Undef; n],
};
clauses.iter().for_each(|clause| {
if clause.len() == 1 {
solver.vardata.enqueue(clause[0], None);
} else {
solver.add_clause(clause);
}
});
solver
}
pub fn new_var(&mut self) {
let v = Var(self.n as u32);
self.n += 1;
self.vardata.assigns.push(LitBool::Undef);
self.vardata.polarity.push(false);
self.vardata.reason.push(None);
self.vardata.level.push(TOP_LEVEL);
self.order_heap.push(v);
self.analyzer.seen.push(false);
self.models.push(LitBool::Undef);
self.watchers.push(Vec::new());
self.watchers.push(Vec::new());
self.bin_watchers.push(Vec::new());
self.bin_watchers.push(Vec::new());
}
/// This method is only for internal usage and almost same as `add_clause`
/// But, this method doesn't grow the size of array.
fn add_clause_db(&mut self, lits: &[Lit], learnt: bool) -> CRef {
let cref = self.db.push(lits, learnt);
debug_assert!(lits.len() >= 2);
if lits.len() == 2 {
self.bin_watchers[!lits[0]].push(Watcher::new(cref, lits[1]));
self.bin_watchers[!lits[1]].push(Watcher::new(cref, lits[0]));
} else {
self.watchers[!lits[0]].push(Watcher::new(cref, lits[1]));
self.watchers[!lits[1]].push(Watcher::new(cref, lits[0]));
}
cref
}
/// Add a new clause to `clauses` and watch a clause.
/// If a variable is greater than the size of array, grow it.
/// # Arguments
/// * `clause` - a clause has one or some literal variables
pub fn add_clause(&mut self, clause: &[Lit]) {
debug_assert!(self.vardata.trail.decision_level() == TOP_LEVEL);
clause.iter().for_each(|c| {
while c.var().0 as usize >= self.vardata.assigns.len() {
self.new_var();
}
});
let mut clause = clause.to_vec();
clause.sort();
let mut len = 0;
for i in 0..clause.len() {
let mut remove = false;
if i >= 1 {
if clause[i] == !clause[i - 1] {
return;
}
if clause[i] == clause[i - 1] {
remove = true;
}
}
let lit = clause[i];
match self.vardata.eval(lit) {
LitBool::True => {
return;
}
LitBool::False => {
remove = true;
}
_ => {}
}
if !remove {
clause[len] = lit;
len += 1;
}
}
clause.truncate(len);
if clause.is_empty() {
self.status = Some(Status::Unsat);
} else if clause.len() == 1 {
let c = clause[0];
if self.vardata.eval(c) == LitBool::False {
self.status = Some(Status::Unsat);
}
self.vardata.enqueue(c, None);
if self.propagate().is_some() {
self.status = Some(Status::Unsat);
}
} else {
debug_assert!(clause.len() >= 2);
let l1 = clause[0];
let l2 = clause[1];
let cref = self.db.push(&clause, false);
if clause.len() == 2 {
self.bin_watchers[!l1].push(Watcher::new(cref, l2));
self.bin_watchers[!l2].push(Watcher::new(cref, l1));
} else {
self.watchers[!l1].push(Watcher::new(cref, l2));
self.watchers[!l2].push(Watcher::new(cref, l1));
}
}
}
/// Propagate it by all enqueued values and check conflicts.
/// If a conflict is detected, this function returns a conflicted clause index.
/// `None` is no conflicts.
fn propagate(&mut self) -> Option<CRef> {
let mut conflict = None;
'conflict: while self.vardata.trail.peekable() {
let p = self.vardata.trail.peek();
self.vardata.trail.advance();
debug_assert!(self.vardata.assigns[p.var()] != LitBool::Undef);
{
let ws = &self.bin_watchers[p];
for w in ws.iter() {
let imp = w.blocker;
debug_assert!({
let clause = self.db.db.get(w.cref);
debug_assert!(clause.len() == 2);
true
});
let mut clause = self.db.db.get_mut(w.cref);
if clause[0] == !p {
clause.swap(0, 1);
}
match self.vardata.eval(imp) {
LitBool::False => {
self.vardata.trail.peek_head = self.vardata.trail.stack.len();
return Some(w.cref);
}
LitBool::Undef => {
self.vardata.enqueue(imp, Some(w.cref));
}
_ => {}
}
}
}
let mut idx = 0;
let watchers_ptr = &mut self.watchers as *mut Vec<Vec<Watcher>>;
let ws = &mut self.watchers[p];
'next_clause: while idx < ws.len() {
let blocker = ws[idx].blocker;
if self.vardata.eval(blocker) == LitBool::True {
idx += 1;
continue;
}
let cr = ws[idx].cref;
let mut clause = self.db.db.get_mut(cr);
debug_assert!(!clause.header.free());
debug_assert!(clause[0] == !p || clause[1] == !p);
if clause[0] == !p {
clause.swap(0, 1);
}
let first = clause[0];
let w = Watcher::new(cr, first);
if first != blocker && self.vardata.eval(first) == LitBool::True {
debug_assert!(first != clause[1]);
ws[idx] = w;
idx += 1;
continue 'next_clause;
}
for k in 2..clause.len() {
let lit = clause[k];
if self.vardata.eval(lit) != LitBool::False {
clause.swap(1, k);
ws.swap_remove(idx);
unsafe { &mut (*watchers_ptr)[!clause[1]].push(w) };
continue 'next_clause;
}
}
ws[idx] = w;
if self.vardata.eval(first) == LitBool::False {
self.vardata.trail.peek_head = self.vardata.trail.stack.len();
conflict = Some(cr);
break 'conflict;
} else {
self.vardata.enqueue(first, Some(cr));
}
idx += 1;
}
}
conflict
}
fn unwatch_clause(&mut self, cref: CRef) {
let clause = self.db.db.get(cref);
if clause.len() == 2 {
let ws = &mut self.bin_watchers[!clause[0]];
ws.swap_remove(ws.iter().position(|&w| w.cref == cref).expect("Not found"));
let ws = &mut self.bin_watchers[!clause[1]];
ws.swap_remove(ws.iter().position(|&w| w.cref == cref).expect("Not found"));
} else {
let ws = &mut self.watchers[!clause[0]];
ws.swap_remove(ws.iter().position(|&w| w.cref == cref).expect("Not found"));
let ws = &mut self.watchers[!clause[1]];
ws.swap_remove(ws.iter().position(|&w| w.cref == cref).expect("Not found"));
}
}
fn reduce_learnts(&mut self) {
let extra_lim = self.db.clause_inc / self.db.learnts.len() as f32;
debug_assert!(!extra_lim.is_nan());
{
let ca = &self.db.db;
self.db.learnts.sort_unstable_by(|&x, &y| {
let x = ca.get(x);
let y = ca.get(y);
Ord::cmp(&(x.len() <= 2), &(y.len() <= 2))
.then(PartialOrd::partial_cmp(&x.activity(), &y.activity()).expect("NaN activity"))
});
}
let mut new_size = 0;
for i in 0..self.db.learnts.len() {
let cr = self.db.learnts[i];
let cla = self.db.db.get(cr);
let act = cla.activity();
let len = cla.len();
if (i < self.db.learnts.len() / 2 || act < extra_lim)
&& len > 2
&& !self.vardata.locked(cla[0], cr)
{
self.detach_clause(cr);
} else {
self.db.learnts[new_size] = cr;
new_size += 1;
}
}
self.db.learnts.truncate(new_size);
self.db.collect_garbage_if_needed(
&mut self.watchers,
&mut self.bin_watchers,
&mut self.vardata,
);
}
fn pop_trail_until(&mut self, backtrack_level: usize) {
if self.vardata.trail.decision_level() <= backtrack_level {
return;
}
let trail = &mut self.vardata.trail;
let sep = trail.stack_limit[backtrack_level];
for p in trail.stack.iter().skip(sep).rev() {
let x = p.var();
if !self.order_heap.in_heap(x) {
self.order_heap.push(x);
}
self.vardata.polarity[x] = p.pos();
self.vardata.assigns[x] = LitBool::Undef;
self.vardata.reason[x] = None;
self.vardata.level[x] = TOP_LEVEL;
}
trail.peek_head = sep;
trail.stack.truncate(sep);
trail.stack_limit.truncate(backtrack_level);
}
fn detach_if_satisfied(&mut self, cr: CRef) -> bool {
let mut detach = false;
let clause = self.db.db.get(cr);
for &lit in clause.iter() {
if self.vardata.eval(lit) == LitBool::True {
self.detach_clause(cr);
detach = true;
break;
}
}
detach
}
fn detach_clause(&mut self, cr: CRef) {
let lit = self.db.db.get(cr)[0];
self.unwatch_clause(cr);
if self.vardata.locked(lit, cr) {
debug_assert!(self.vardata.reason[lit.var()].is_some());
self.vardata.reason[lit.var()] = None;
}
self.db.db.get_mut(cr).header.set_mark(1);
self.db.db.free(cr);
}
fn simplify(&mut self) -> bool {
debug_assert!(self.vardata.trail.decision_level() == TOP_LEVEL);
if self.propagate().is_some() {
return false;
}
if self.vardata.num_assings() as i32 == self.simplify_db.simp_db_assigns {
return true;
}
{
let n: usize = self.db.learnts.len();
let mut new_size = 0;
for i in 0..n {
let cr = self.db.learnts[i];
let detach = self.detach_if_satisfied(cr);
if !detach {
self.db.learnts[new_size] = cr;
new_size += 1;
}
}
self.db.learnts.truncate(new_size);
}
{
let n: usize = self.db.clauses.len();
let mut new_size = 0;
for i in 0..n {
let cr = self.db.clauses[i];
let detach = self.detach_if_satisfied(cr);
if !detach {
self.db.clauses[new_size] = cr;
new_size += 1;
}
}
self.db.clauses.truncate(new_size);
}
self.db.collect_garbage_if_needed(
&mut self.watchers,
&mut self.bin_watchers,
&mut self.vardata,
);
self.simplify_db.simp_db_assigns = self.vardata.num_assings() as i32;
true
}
fn lit_redundant(&mut self, cr: CRef, abstract_levels: u32) -> bool {
let seen = &mut self.analyzer.seen;
let ccmin_stack = &mut self.analyzer.ccmin_stack;
let ccmin_clear = &mut self.analyzer.ccmin_clear;
ccmin_stack.clear();
ccmin_stack.push(cr);
let top = ccmin_clear.len();
let mut redundant = true;
'redundant: while let Some(cr) = ccmin_stack.pop() {
let clause = self.db.db.get(cr);
for c in clause.iter().skip(1) {
if !seen[c.var()] && self.vardata.level(c.var()) > TOP_LEVEL {
let intersect =
Solver::abstract_level(self.vardata.level(c.var())) & abstract_levels != 0;
if !intersect {
redundant = false;
break 'redundant;
}
if let Some(cr) = self.vardata.reason[c.var()] {
seen[c.var()] = true;
ccmin_stack.push(cr);
ccmin_clear.push(*c);
} else {
redundant = false;
break 'redundant;
}
}
}
}
if !redundant {
for lit in ccmin_clear.iter().skip(top) {
seen[lit.var()] = false;
}
ccmin_clear.truncate(top);
}
redundant
}
fn abstract_level(level: usize) -> u32 {
1 << (level as u32 & 31)
}
fn minimize_conflict_clause(&mut self) {
debug_assert!(self.analyzer.ccmin_stack.is_empty());
debug_assert!(self.analyzer.ccmin_clear.is_empty());
let abstract_levels = self
.analyzer
.learnt_clause
.iter()
.skip(1)
.fold(0, |als: u32, x| {
als | Solver::abstract_level(self.vardata.level(x.var()))
});
let n: usize = self.analyzer.learnt_clause.len();
let mut new_size = 1;
for i in 1..n {
let lit = self.analyzer.learnt_clause[i];
let redundant = {
if let Some(cr) = self.vardata.reason[lit.var()] {
self.lit_redundant(cr, abstract_levels)
} else {
false
}
};
if !redundant {
self.analyzer.learnt_clause[new_size] = lit;
new_size += 1;
}
}
for lit in self.analyzer.ccmin_clear.iter() {
self.analyzer.seen[lit.var()] = false;
}
self.analyzer.ccmin_stack.clear();
self.analyzer.ccmin_clear.clear();
self.analyzer.learnt_clause.truncate(new_size);
}
/// Analyze a conflict clause and deduce a learnt clause to avoid a current conflict
fn analyze(&mut self, confl: CRef) {
debug_assert!(self.analyzer.seen.iter().all(|&x| !x));
let decision_level = self.vardata.trail.decision_level();
self.analyzer.learnt_clause.clear();
self.analyzer.learnt_clause.push(Lit::default());
let mut same_level_cnt = 0;
{
let learnt = self.db.db.get(confl).header.learnt();
if learnt {
self.db.bump_activity(confl);
}
let clause = self.db.db.get(confl);
debug_assert!(!clause.header.free());
for p in clause.iter() {
let var = p.var();
debug_assert!(self.vardata.eval(*p) != LitBool::Undef);
self.order_heap.bump_activity(var);
self.analyzer.seen[var] = true;
if self.vardata.level(var) < decision_level {
self.analyzer.learnt_clause.push(*p);
} else {
same_level_cnt += 1;
}
}
}
let first_uip = {
let mut p = None;
for &lit in self.vardata.trail.stack.iter().rev() {
let v = lit.var();
if !self.analyzer.seen[v] {
continue;
}
self.analyzer.seen[v] = false;
same_level_cnt -= 1;
if same_level_cnt <= 0 {
p = Some(lit);
break;
}
debug_assert_eq!(self.vardata.level[v], decision_level);
let reason = self.vardata.reason[v].as_ref().expect("No reason");
let learnt = self.db.db.get(*reason).header.learnt();
if learnt {
self.db.bump_activity(*reason);
}
let clause = self.db.db.get(*reason);
for p in clause.iter().skip(1) {
let var = p.var();
if self.analyzer.seen[var] {
continue;
}
self.order_heap.bump_activity(var);
self.analyzer.seen[var] = true;
debug_assert!(self.vardata.level(var) <= decision_level);
if self.vardata.level(var) < decision_level {
self.analyzer.learnt_clause.push(*p);
} else {
same_level_cnt += 1;
}
}
}
p
};
self.analyzer.learnt_clause[0] = !first_uip.expect("not found first uip");
self
.analyzer
.analyze_toclear
.clone_from(&self.analyzer.learnt_clause);
let backtrack_level = if self.analyzer.learnt_clause.len() == 1 {
TOP_LEVEL
} else {
let mut max_idx = 1;
let mut max_level = self
.vardata
.level(self.analyzer.learnt_clause[max_idx].var());
for (i, lit) in self.analyzer.learnt_clause.iter().enumerate().skip(2) {
if self.vardata.level(lit.var()) > max_level {
max_level = self.vardata.level(lit.var());
max_idx = i;
}
}
self.analyzer.learnt_clause.swap(1, max_idx);
max_level
};
self.pop_trail_until(backtrack_level);
let first = self.analyzer.learnt_clause[0];
if self.analyzer.learnt_clause.len() == 1 {
debug_assert_eq!(backtrack_level, TOP_LEVEL);
self.vardata.enqueue(first, None);
} else {
let cr = self.add_clause_db(&self.analyzer.learnt_clause.clone(), true);
self.db.bump_activity(cr);
self.vardata.enqueue(first, Some(cr));
}
for lit in self.analyzer.analyze_toclear.iter() {
self.analyzer.seen[lit.var()] = false;
}
}
fn define(&self, x: Var) -> bool {
self.vardata.assigns[x] != LitBool::Undef
}
/// Reserve the space of a clause database
/// # Arguments
/// * `cla_num` - The number of clause
pub fn reserve_clause(&mut self, cla_num: usize) {
self.db.clauses.reserve(cla_num);
}
/// # Arguments
/// * `var_num` - The number of variable
pub fn reserve_variable(&mut self, var_num: usize) {
self.vardata.trail.stack.reserve(var_num);
self.db.clauses.reserve(var_num);
self.vardata.reason.reserve(var_num);
self.vardata.level.reserve(var_num);
self.vardata.assigns.reserve(var_num);
}
fn search(&mut self, nof_conflicts: i32) -> Status {
let mut conflict_cnt = 0;
loop {
if let Some(confl) = self.propagate() {
conflict_cnt += 1;
if self.vardata.trail.decision_level() == TOP_LEVEL {
self.status = Some(Status::Unsat);
return Status::Unsat;
}
self.analyze(confl);
self.order_heap.decay_inc();
self.db.decay_inc();
self.learnt_size_start.dec_adjust_cnt();
self.learnt_size_start.adjust_if_needed();
} else {
if conflict_cnt >= nof_conflicts {
self.pop_trail_until(TOP_LEVEL);
return Status::Indeterminate;
}
if self.vardata.trail.decision_level() == TOP_LEVEL && !self.simplify() {
return Status::Unsat;
}
if self.learnt_size_start.max_learnts + self.vardata.trail.stack.len() as f64
<= self.db.learnts.len() as f64
{
self.reduce_learnts();
}
loop {
if let Some(v) = self.order_heap.pop() {
if self.define(v) {
continue;
}
let lit = Lit::new(v.0, self.vardata.polarity[v]);
self.vardata.trail.new_descion_level();
self.vardata.enqueue(lit, None);
break;
} else {
self.status = Some(Status::Sat);
self.models = self.vardata.assigns.clone();
return Status::Sat;
}
}
}
}
}
/// Solve a problem and return a enum `Status`.
/// # Arguments
/// * `time_limit` - The time limitation for searching.
/// Exceeding the time limit returns `Indeterminate`
pub fn solve(&mut self, time_limit: Option<Duration>) -> Status {
if let Some(status) = self.status.as_ref() {
return *status;
}
let start = Instant::now();
self.learnt_size_start.init(self.db.clauses.len());
let mut status = Status::Indeterminate;
let mut restart_cnt = 0;
while status == Status::Indeterminate {
if let Some(time_limit) = time_limit {
if start.elapsed() > time_limit {
self.status = Some(Status::Indeterminate);
return Status::Indeterminate;
}
}
let nof_conflicts = self.restart_strat.luby(restart_cnt) as i32;
status = self.search(nof_conflicts);
restart_cnt += 1;
}
status
}
}
}
}
#[allow(unused_macros)]
macro_rules! eprint {
($($arg:tt)*) => {
if cfg!(debug_assertions) {
std::eprint!($($arg)*)
}
};
}
#[allow(unused_macros)]
macro_rules! eprintln {
($($arg:tt)*) => {
if cfg!(debug_assertions) {
std::eprintln!($($arg)*)
}
};
}
#[allow(unused_macros)]
macro_rules! dbg {
($($arg:tt)*) => {
if cfg!(debug_assertions) {
std::dbg!($($arg)*)
} else {
($($arg)*)
}
};
}
const CUSTOM_STACK_SIZE_MIB: Option<usize> = Some(1024);
const INTERACTIVE: bool = false;
fn main() -> std::io::Result<()> {
match CUSTOM_STACK_SIZE_MIB {
Some(stack_size_mib) => std::thread::Builder::new()
.name("run_solver".to_owned())
.stack_size(stack_size_mib * 1024 * 1024)
.spawn(run_solver)?
.join()
.unwrap(),
None => run_solver(),
}
}
fn run_solver() -> std::io::Result<()> {
let stdin = std::io::stdin();
let reader = stdin.lock();
let stdout = std::io::stdout();
let writer = stdout.lock();
macro_rules! with_wrapper {
($($wrapper:expr)?) => {{
let mut writer = $($wrapper)?(writer);
solve(reader, &mut writer)?;
writer.flush()
}};
}
if cfg!(debug_assertions) || INTERACTIVE {
with_wrapper!()
} else {
with_wrapper!(std::io::BufWriter::new)
}
}
fn solve<R, W>(reader: R, mut writer: W) -> std::io::Result<()>
where
R: BufRead,
W: Write,
{
let mut _scanner = lib::io::Scanner::new(reader);
#[allow(unused_macros)]
macro_rules! scan {
($T:ty) => {
_scanner.parse_next::<$T>()?.unwrap()
};
($($T:ty),+) => {
($(scan!($T)),+)
};
($T:ty; $n:expr) => {
_scanner.parse_next_n::<$T>($n)?.unwrap()
};
($($T:ty),+; $n:expr) => {
iter::repeat_with(|| -> std::io::Result<_> { Ok(($(scan!($T)),+)) })
.take($n)
.collect::<std::io::Result<Vec<_>>>()?
};
}
#[allow(unused_macros)]
macro_rules! scan_bytes_map {
($f:expr) => {
_scanner.map_next_bytes($f)?
};
($f:expr; $n:expr) => {
_scanner.map_next_bytes_n($n, $f)?
};
}
#[allow(unused_macros)]
macro_rules! print {
($($arg:tt)*) => {
write!(writer, $($arg)*)?
};
}
#[allow(unused_macros)]
macro_rules! println {
($($arg:tt)*) => {
writeln!(writer, $($arg)*)?
};
}
#[allow(unused_macros)]
macro_rules! answer {
($($arg:tt)*) => {{
println!($($arg)*);
return Ok(());
}};
}
{
use screwsat::solver::*;
let (n, m) = scan!(usize, usize);
struct State {
solver: Solver,
v: u32,
}
impl State {
fn new_var(&mut self) -> u32 {
let v = self.v;
self.v += 1;
v
}
fn add_xor(&mut self, mut v: Vec<u32>, t: bool) {
match v.len() {
0 => panic!(),
1 => {
self.solver.add_clause(&[Lit::new(v[0], t)]);
}
2 => {
if t {
self
.solver
.add_clause(&[Lit::new(v[0], false), Lit::new(v[1], false)]);
self
.solver
.add_clause(&[Lit::new(v[0], true), Lit::new(v[1], true)]);
} else {
self
.solver
.add_clause(&[Lit::new(v[0], true), Lit::new(v[1], false)]);
self
.solver
.add_clause(&[Lit::new(v[0], false), Lit::new(v[1], true)]);
}
}
3 => {
if t {
self.solver.add_clause(&[
Lit::new(v[0], true),
Lit::new(v[1], true),
Lit::new(v[2], true),
]);
self.solver.add_clause(&[
Lit::new(v[0], true),
Lit::new(v[1], false),
Lit::new(v[2], false),
]);
self.solver.add_clause(&[
Lit::new(v[0], false),
Lit::new(v[1], true),
Lit::new(v[2], false),
]);
self.solver.add_clause(&[
Lit::new(v[0], false),
Lit::new(v[1], false),
Lit::new(v[2], true),
]);
} else {
self.solver.add_clause(&[
Lit::new(v[0], false),
Lit::new(v[1], true),
Lit::new(v[2], true),
]);
self.solver.add_clause(&[
Lit::new(v[0], false),
Lit::new(v[1], false),
Lit::new(v[2], false),
]);
self.solver.add_clause(&[
Lit::new(v[0], true),
Lit::new(v[1], true),
Lit::new(v[2], false),
]);
self.solver.add_clause(&[
Lit::new(v[0], true),
Lit::new(v[1], false),
Lit::new(v[2], true),
]);
}
}
_ => {
let p = self.new_var();
let q = self.new_var();
self.add_xor(vec![p, q], true);
let mut w = v.split_off(v.len() / 2);
v.push(p);
w.push(q);
self.add_xor(v, !t);
self.add_xor(w, false);
}
}
}
}
let mut st = State {
solver: Solver::default(),
v: 30 * n as u32,
};
for _ in 0..m {
let a = scan!(usize);
let b = scan!(usize; a);
let y = scan!(u32);
let b = b
.into_iter()
.map(|b_i| (b_i - 1) as u32)
.collect::<Vec<_>>();
for d in 0..30 {
let y = (y >> d) & 1 != 0;
st.add_xor(b.iter().map(|&b_i| 30 * b_i + d).collect(), y);
}
}
match st.solver.solve(None) {
Status::Sat => {
let mut x = vec![0u32; n];
for i in 0..n {
for (d, &assign) in st.solver.models[30 * i..][..30].iter().enumerate() {
x[i] |= match assign {
LitBool::True => 1,
LitBool::False => 0,
LitBool::Undef => panic!(),
} << d;
}
println!("{}", x[i]);
}
}
Status::Unsat => {
println!("-1");
}
Status::Indeterminate => panic!(),
}
}
#[allow(unreachable_code)]
Ok(())
}