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-rw-r--r--graph/src/labelled.rs879
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diff --git a/graph/src/labelled.rs b/graph/src/labelled.rs
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index 6341787..0000000
--- a/graph/src/labelled.rs
+++ /dev/null
@@ -1,879 +0,0 @@
-#![warn(missing_docs)]
-//! This file implements a labelled graph. See the
-//! [trait][super::LabelGraph] for details.
-//!
-//! Since the method
-//! [`find_children_with_label`][super::LabelGraph::find_children_with_label]
-//! needs to be implemented efficiently, we store the mappings between
-//! labels and edges in both directions.
-
-use std::ops::{Deref, DerefMut};
-
-use crate::{builder::Builder, error::Error, Graph, GraphLabel, LabelExtGraph, LabelGraph};
-
-// We use BTreeMap and BTreeSet here as we need to exclude duplicate
-// edge sets, while an ordinary hashmap and hashset do not allow
-// hashing.
-use std::collections::{
- btree_map::{Iter as MapIter, Keys},
- btree_set::Iter,
- BTreeMap as Map, BTreeSet as Set, HashMap as HMap,
-};
-
-#[derive(Debug, Clone)]
-struct DLNode<T: GraphLabel> {
- by_target: Map<usize, Set<T>>,
- by_label: Map<T, Set<usize>>,
- flat: Vec<(T, usize)>,
-}
-
-impl<T: GraphLabel> Default for DLNode<T> {
- fn default() -> Self {
- Self {
- by_target: Default::default(),
- by_label: Default::default(),
- flat: Default::default(),
- }
- }
-}
-
-impl<T: GraphLabel> DLNode<T> {
- fn new(
- by_target: Map<usize, Set<T>>,
- by_label: Map<T, Set<usize>>,
- flat: Vec<(T, usize)>,
- ) -> Self {
- Self {
- by_target,
- by_label,
- flat,
- }
- }
-}
-
-/// Mapping a set of edges to an index of node.
-type EdgeMap<T> = HMap<Set<(T, usize)>, usize>;
-
-/// Double direction Labelled Graph.
-///
-/// Each node is supposed to have a unique edge set. Constructing
-/// methods such as from the trait
-/// [`LabelExtGraph`][super::LabelExtGraph] already handles the
-/// elimination of duplication.
-#[derive(Debug, Clone)]
-pub struct DLGraph<T: GraphLabel> {
- nodes: Vec<DLNode<T>>,
- edges_table: EdgeMap<T>,
-}
-
-impl<T: GraphLabel> DLGraph<T> {
- #[inline]
- /// Return an empty graph.
- pub fn new() -> Self {
- Self {
- nodes: Vec::new(),
- edges_table: HMap::default(),
- }
- }
-
- /// Return a builder.
- #[inline]
- pub fn builder(self) -> DLGBuilder<T> {
- DLGBuilder(self)
- }
-
- /// Return a builder from a reference.
- #[inline]
- pub fn builder_ref(&self) -> DLGBuilder<T> {
- DLGBuilder(self.clone())
- }
-}
-
-impl<T: GraphLabel> Default for DLGraph<T> {
- #[inline]
- fn default() -> Self {
- Self::new()
- }
-}
-
-impl<T: GraphLabel> Graph for DLGraph<T> {
- // Not using a boxed pointer is supposed to save some allocations.
- type Iter<'a> = std::iter::Copied<Keys<'a, usize, Set<T>>> where T: 'a;
-
- #[inline]
- fn is_empty(&self) -> bool {
- self.nodes.is_empty()
- }
-
- #[inline]
- fn nodes_len(&self) -> usize {
- self.nodes.len()
- }
-
- #[inline]
- fn children_of(&self, node_id: usize) -> Result<Self::Iter<'_>, Error> {
- match self.nodes.get(node_id) {
- Some(node) => Ok(node.by_target.keys().copied()),
- None => Err(Error::IndexOutOfBounds(node_id, self.nodes.len())),
- }
- }
-
- #[inline]
- /// Return the number of "children" of a node, or an error if the
- /// node is not a member of the graph.
- ///
- /// This counts edges with different labels as different edges.
- fn degree(&self, node_id: usize) -> Result<usize, Error> {
- self.nodes
- .get(node_id)
- .ok_or(Error::IndexOutOfBounds(node_id, self.nodes.len()))
- .map(|node| node.flat.len())
- }
-
- #[inline]
- fn is_empty_node(&self, node_id: usize) -> Result<bool, Error> {
- self.nodes
- .get(node_id)
- .ok_or(Error::IndexOutOfBounds(node_id, self.nodes.len()))
- .map(|node| node.flat.is_empty())
- }
-
- fn has_edge(&self, source: usize, target: usize) -> Result<bool, Error> {
- match self.nodes.get(source) {
- Some(source_node) => {
- if self.nodes.get(target).is_none() {
- Err(Error::IndexOutOfBounds(target, self.nodes.len()))
- } else {
- Ok(source_node.by_target.contains_key(&target)
- && !source_node.by_target.get(&target).unwrap().is_empty())
- }
- }
- None => Err(Error::IndexOutOfBounds(source, self.nodes.len())),
- }
- }
-
- fn print_viz(&self, filename: &str) -> Result<(), std::io::Error> {
- let preamble = "digraph nfa {
- fontname=\"Helvetica,Arial,sans-serif\"
- node [fontname=\"Helvetica,Arial,sans-serif\"]
- edge [fontname=\"Helvetica,Arial,sans-serif\"]
- rankdir=LR;\n";
-
- let mut post = String::new();
-
- use std::fmt::Write as FWrite;
-
- for (source, target) in self.edges() {
- for label in self.edge_label(source, target).unwrap() {
- let _ = writeln!(post, " {source} -> {target} [label = \"{label}\"]");
- }
- }
-
- post.push_str("}\n");
-
- let result = format!("{preamble}{post}");
-
- if std::fs::metadata(filename).is_ok() {
- std::fs::remove_file(filename)?;
- }
-
- let mut file = std::fs::File::options()
- .write(true)
- .create(true)
- .open(filename)?;
-
- use std::io::Write;
-
- file.write_all(result.as_bytes())
- }
-
- #[inline]
- fn replace_by_builder(&mut self, builder: impl Builder<Result = Self>) {
- let new_graph = builder.build();
-
- self.nodes = new_graph.nodes;
- self.edges_table = new_graph.edges_table;
- }
-}
-
-/// A delegation of iterators.
-///
-/// This is used to avoid a boxed pointer to an iterator.
-#[derive(Default, Debug, Clone)]
-pub struct LabelIndexIter<'a> {
- iter: Option<std::iter::Copied<Iter<'a, usize>>>,
-}
-
-impl<'a> Iterator for LabelIndexIter<'a> {
- type Item = usize;
-
- #[inline]
- fn next(&mut self) -> Option<Self::Item> {
- self.iter.as_mut().and_then(|iterator| iterator.next())
- }
-
- #[inline]
- fn size_hint(&self) -> (usize, Option<usize>) {
- match &self.iter {
- Some(iter) => iter.size_hint(),
- None => (0, Some(0)),
- }
- }
-}
-
-impl<'a> ExactSizeIterator for LabelIndexIter<'a> {
- #[inline]
- fn len(&self) -> usize {
- match &self.iter {
- Some(iter) => iter.len(),
- None => 0,
- }
- }
-}
-
-impl<'a> LabelIndexIter<'a> {
- fn new(iter: std::iter::Copied<Iter<'a, usize>>) -> Self {
- let iter = Some(iter);
- Self { iter }
- }
-}
-
-// A convenience method
-impl<'a> From<&'a Set<usize>> for LabelIndexIter<'a> {
- fn from(set: &'a Set<usize>) -> Self {
- Self::new(set.iter().copied())
- }
-}
-
-#[derive(Debug)]
-/// A delegation of iterators.
-///
-/// This is used to avoid a boxed pointer to an iterator.
-pub struct LabelIter<'a, T> {
- iter: MapIter<'a, T, Set<usize>>,
-}
-
-impl<'a, T> ExactSizeIterator for LabelIter<'a, T> {
- #[inline]
- fn len(&self) -> usize {
- self.iter.len()
- }
-}
-
-impl<'a, T> LabelIter<'a, T> {
- fn new(iter: MapIter<'a, T, Set<usize>>) -> Self {
- Self { iter }
- }
-}
-
-impl<'a, T> Iterator for LabelIter<'a, T> {
- type Item = (&'a T, LabelIndexIter<'a>);
-
- #[inline]
- fn next(&mut self) -> Option<Self::Item> {
- self.iter.next().map(|(label, set)| (label, set.into()))
- }
-
- #[inline]
- fn size_hint(&self) -> (usize, Option<usize>) {
- self.iter.size_hint()
- }
-}
-
-/// This is used to avoid a boxed pointer to an iterator.
-#[derive(Debug)]
-pub struct EdgeLabelIter<'a, T> {
- iter: Option<Iter<'a, T>>,
-}
-
-impl<'a, T> Default for EdgeLabelIter<'a, T> {
- #[inline]
- fn default() -> Self {
- Self { iter: None }
- }
-}
-
-impl<'a, T: Copy + Clone> ExactSizeIterator for EdgeLabelIter<'a, T> {
- #[inline]
- fn len(&self) -> usize {
- if let Some(iter) = &self.iter {
- iter.len()
- } else {
- 0
- }
- }
-}
-
-impl<'a, T: Copy + Clone> EdgeLabelIter<'a, T> {
- fn new(iter: Iter<'a, T>) -> Self {
- Self { iter: Some(iter) }
- }
-}
-
-impl<'a, T: Copy + Clone> Iterator for EdgeLabelIter<'a, T> {
- type Item = T;
-
- #[inline]
- fn next(&mut self) -> Option<Self::Item> {
- if let Some(iter) = &mut self.iter {
- iter.next().copied()
- } else {
- None
- }
- }
-
- #[inline]
- fn size_hint(&self) -> (usize, Option<usize>) {
- if let Some(iter) = &self.iter {
- iter.size_hint()
- } else {
- (0, Some(0))
- }
- }
-}
-
-impl<T: GraphLabel> LabelGraph<T> for DLGraph<T> {
- type Iter<'a> = LabelIndexIter<'a> where T: 'a;
-
- type LabelIter<'a> = LabelIter<'a,T> where T: 'a;
-
- type EdgeLabelIter<'a> = EdgeLabelIter<'a,T>
- where
- Self: 'a,
- T: 'a + Copy + Clone;
-
- fn edge_label(&self, source: usize, target: usize) -> Result<Self::EdgeLabelIter<'_>, Error> {
- if self.has_edge(source, target)? {
- Ok(EdgeLabelIter::new(
- self.nodes
- .get(source)
- .unwrap()
- .by_target
- .get(&target)
- .unwrap()
- .iter(),
- ))
- } else {
- Ok(Default::default())
- }
- }
-
- fn find_children_with_label(
- &self,
- node_id: usize,
- label: &T,
- ) -> Result<<Self as LabelGraph<T>>::Iter<'_>, Error> {
- match self
- .nodes
- .get(node_id)
- .ok_or(Error::IndexOutOfBounds(node_id, self.nodes.len()))?
- .by_label
- .get(label)
- {
- Some(set) => Ok(set.into()),
- None => Ok(Default::default()),
- }
- }
-
- #[inline]
- fn labels_of(&self, node_id: usize) -> Result<Self::LabelIter<'_>, Error> {
- match self.nodes.get(node_id) {
- Some(node) => Ok(Self::LabelIter::new(node.by_label.iter())),
- None => Err(Error::IndexOutOfBounds(node_id, self.nodes.len())),
- }
- }
-
- fn has_edge_label(&self, node_id: usize, label: &T, target: usize) -> Result<bool, Error> {
- let nodes_len = self.nodes.len();
-
- match self.nodes.get(node_id) {
- Some(node) => {
- if target >= nodes_len {
- return Err(Error::IndexOutOfBounds(target, nodes_len));
- }
-
- Ok(node
- .by_target
- .get(&target)
- .map(|labels| labels.contains(label))
- .unwrap_or(false))
- }
- None => Err(Error::IndexOutOfBounds(node_id, nodes_len)),
- }
- }
-}
-
-impl<T: GraphLabel> LabelExtGraph<T> for DLGraph<T> {
- fn extend(&mut self, edges: impl IntoIterator<Item = (T, usize)>) -> Result<usize, Error> {
- let mut by_target: Map<usize, Set<T>> = Map::default();
- let mut by_label: Map<T, Set<usize>> = Map::default();
- let mut flat = Vec::new();
- let mut edges_set = Set::new();
-
- for (label, to) in edges {
- if !self.has_node(to) {
- return Err(Error::IndexOutOfBounds(to, self.nodes.len()));
- }
-
- edges_set.insert((label, to));
-
- if let Some(set) = by_target.get(&to) {
- if !set.contains(&label) {
- flat.push((label, to));
- by_target.get_mut(&to).unwrap().insert(label);
- by_label
- .entry(label)
- .or_insert_with(Default::default)
- .insert(to);
- }
- } else {
- flat.push((label, to));
- by_target
- .entry(to)
- .or_insert_with(Default::default)
- .insert(label);
- by_label
- .entry(label)
- .or_insert_with(Default::default)
- .insert(to);
- }
- }
-
- match self.edges_table.get(&edges_set) {
- Some(old_index) => Ok(*old_index),
- None => {
- let new_node = DLNode::new(by_target, by_label, flat);
- let new_index = self.nodes_len();
-
- self.edges_table.insert(edges_set, new_index);
-
- self.nodes.push(new_node);
-
- Ok(new_index)
- }
- }
- }
-}
-
-// Builder for this implementation of graph
-
-/// A builder for labelled adjacency doubly linked graphs.
-#[derive(Debug, Clone)]
-pub struct DLGBuilder<T: GraphLabel>(DLGraph<T>);
-
-impl<T: GraphLabel> Default for DLGBuilder<T> {
- fn default() -> Self {
- Self(Default::default())
- }
-}
-
-impl<T: GraphLabel> Deref for DLGBuilder<T> {
- type Target = DLGraph<T>;
-
- fn deref(&self) -> &Self::Target {
- &self.0
- }
-}
-
-impl<T: GraphLabel> DerefMut for DLGBuilder<T> {
- fn deref_mut(&mut self) -> &mut Self::Target {
- &mut self.0
- }
-}
-
-impl<T: GraphLabel> Builder for DLGBuilder<T> {
- type Label = T;
-
- type Result = DLGraph<T>;
-
- #[inline]
- fn with_capacity(size: usize) -> Self {
- Self(DLGraph {
- nodes: Vec::with_capacity(size),
- edges_table: Default::default(),
- })
- }
-
- #[inline]
- fn add_vertex(&mut self) -> usize {
- self.nodes.push(DLNode::default());
- self.nodes.len() - 1
- }
-
- #[inline]
- fn add_vertices(&mut self, n: usize) {
- self.nodes
- .extend(std::iter::repeat_with(Default::default).take(n));
- }
-
- fn add_edge(&mut self, source: usize, target: usize, label: Self::Label) -> Result<(), Error> {
- let nodes_len = self.nodes.len();
-
- let source_node = self
- .nodes
- .get_mut(source)
- .ok_or(Error::IndexOutOfBounds(source, nodes_len))?;
-
- if !(0..nodes_len).contains(&target) {
- return Err(Error::IndexOutOfBounds(target, nodes_len));
- }
-
- let new_edge_p = !matches!(
- source_node
- .by_target
- .get(&target)
- .map(|set| set.contains(&label)),
- Some(true)
- );
-
- if new_edge_p {
- let old_children_set: Set<(T, usize)> = source_node.flat.iter().copied().collect();
-
- source_node
- .by_target
- .entry(target)
- .or_insert_with(Set::default)
- .insert(label);
-
- source_node
- .by_label
- .entry(label)
- .or_insert_with(Set::default)
- .insert(target);
-
- source_node.flat.push((label, target));
-
- let new_children_set: Set<(T, usize)> = source_node.flat.iter().copied().collect();
-
- // When source_node is in use, we cannot borrow self
- // mutably again, so we move the following two statements
- // to after all uses of source_node.
-
- self.edges_table.remove(&old_children_set);
-
- self.edges_table.insert(new_children_set, source);
- }
-
- Ok(())
- }
-
- fn remove_edge<F>(&mut self, source: usize, target: usize, predicate: F) -> Result<(), Error>
- where
- F: Fn(Self::Label) -> bool,
- {
- let nodes_len = self.nodes.len();
-
- let source_node = self
- .nodes
- .get_mut(source)
- .ok_or(Error::IndexOutOfBounds(source, nodes_len))?;
-
- if !(0..nodes_len).contains(&target) {
- return Err(Error::IndexOutOfBounds(target, nodes_len));
- }
-
- if let Some(target_labels_set) = source_node.by_target.get(&target) {
- let mut to_remove = Vec::new();
-
- for label in target_labels_set.iter() {
- if predicate(*label) {
- to_remove.push(*label);
- }
- }
-
- if !to_remove.is_empty() {
- let old_children_set: Set<(T, usize)> = source_node.flat.iter().copied().collect();
-
- for label in to_remove.iter().copied() {
- // This must be "Some", as the outer "if" checks
- source_node
- .by_target
- .get_mut(&target)
- .map(|set| set.remove(&label));
-
- source_node
- .by_label
- .get_mut(&label)
- .map(|set| set.remove(&target));
-
- source_node.flat.retain(|(child_label, child_target)| {
- (*child_label, *child_target) != (label, target)
- });
- }
-
- // If after removal no labels remain for the target,
- // we remove the edge entirely, to avoid false empty
- // edges.
-
- if let Some(set) = source_node.by_target.get(&target) {
- if set.is_empty() {
- source_node.by_target.remove(&target);
- }
- }
-
- for label in to_remove.iter() {
- if let Some(set) = source_node.by_label.get(label) {
- if set.is_empty() {
- source_node.by_label.remove(label);
- }
- }
- }
-
- // if source_node.flat.is_empty() {
- // source_node.by_target.remove(&target);
-
- // for label in to_remove.iter() {
- // source_node.by_label.remove(label);
- // }
- // }
-
- let new_children_set: Set<(T, usize)> = source_node.flat.iter().copied().collect();
-
- // When source_node is in use, we cannot borrow self
- // mutably again, so we move the following two
- // statements to after all uses of source_node.
-
- self.edges_table.remove(&old_children_set);
-
- self.edges_table.insert(new_children_set, source);
- }
- }
-
- Ok(())
- }
-
- fn build_ref(&self) -> Self::Result {
- self.0.clone()
- }
-
- fn build(self) -> Self::Result {
- self.0
- }
-}
-
-#[cfg(test)]
-mod label_test {
- use super::*;
-
- macro_rules! set {
- () => { Set::<usize>::default() };
- ($($num:literal),*) => {
- {
- let mut set: Set<usize> = Set::default();
- $(set.insert($num);)*
- set
- }
- };
- }
-
- macro_rules! map {
- () => { Map::<usize, Set<usize>>::default() };
- ($(($key:literal, $value:expr)),*) => {
- {
- let mut map: Map<usize, Set<usize>> = Map::default();
- $(map.insert($key, $value);)*
- map
- }
- };
- }
-
- #[test]
- fn test_graph_apis() -> Result<(), Error> {
- let mut graph: DLGraph<usize> = Default::default();
-
- // testing empty graph
- assert!(graph.is_empty());
-
- // testing adding an empty node
- assert_eq!(graph.extend(std::iter::empty())?, 0);
-
- // testing nodes_len
- assert_eq!(graph.nodes_len(), 1);
-
- // testing extension
-
- assert_eq!(graph.extend([(0, 0)].iter().copied())?, 1);
- assert_eq!(graph.extend([(1, 0), (1, 1)].iter().copied())?, 2);
- assert_eq!(graph.extend([(3, 0), (3, 2)].iter().copied())?, 3);
- assert_eq!(graph.extend([(1, 1), (1, 2)].iter().copied())?, 4);
- assert_eq!(graph.extend([(2, 1), (3, 2), (2, 3)].iter().copied())?, 5);
-
- // testing adding a duplicated edge set
- assert_eq!(graph.extend([(2, 1), (2, 3), (3, 2)].iter().copied())?, 5);
- assert_eq!(graph.extend([(3, 2), (3, 0)].iter().copied())?, 3);
-
- let graph = graph;
-
- // ensuring the correct length
- assert_eq!(graph.nodes_len(), 6);
-
- // testing children_of
- assert_eq!(graph.children_of(5)?.collect::<Set<_>>(), set!(1, 3, 2));
-
- // testing find_children_with_label
- assert_eq!(
- graph.find_children_with_label(5, &2)?.collect::<Set<_>>(),
- set!(1, 3)
- );
-
- // testing edge_label
- assert_eq!(graph.edge_label(5, 2)?.collect::<Set<_>>(), set!(3));
- assert!(matches!(
- graph.edge_label(6, 2),
- Err(Error::IndexOutOfBounds(6, 6))
- ));
-
- // testing degree
- assert_eq!(graph.degree(4)?, 2);
-
- // testing is_empty_node
- assert!(graph.is_empty_node(0)?);
- assert!(!graph.is_empty_node(1)?);
-
- // testing has_edge
- assert!(graph.has_edge(3, 2)?);
- assert!(!graph.has_edge(3, 1)?);
- assert!(matches!(
- graph.has_edge(3, 6),
- Err(Error::IndexOutOfBounds(6, 6))
- ));
-
- // testing labels_of
- let mut label_map: Map<usize, Set<usize>> = Map::default();
-
- for (label, children) in graph.labels_of(5)? {
- label_map.insert(*label, children.collect());
- }
-
- let compare_map = map!((2, set!(1, 3)), (3, set!(2)));
-
- assert_eq!(label_map, compare_map);
-
- assert!(matches!(
- graph.labels_of(6),
- Err(Error::IndexOutOfBounds(6, 6))
- ));
-
- Ok(())
- }
-}
-
-#[cfg(test)]
-mod test_dlgraph_builder {
- use super::*;
-
- #[test]
- fn test_builder() -> Result<(), Box<dyn std::error::Error>> {
- let mut builder = DLGBuilder::<usize>::default();
-
- // Add five nodes
- builder.add_vertex();
- builder.add_vertex();
- builder.add_vertex();
- builder.add_vertex();
- builder.add_vertex();
-
- println!("five empty nodes: {builder:?}");
-
- // Link each node to its successor and link the last node with
- // the first one to form a cycle.
- for i in 0..5 {
- builder.add_edge(i, if i < 4 { i + 1 } else { 0 }, i)?;
- }
-
- println!("a cycle of five nodes: {builder:?}");
-
- // Remove the link from the last node to the first node.
- builder.remove_edge(4, 0, |_| true)?;
-
- println!("a line of five nodes: {builder:?}");
-
- // build a graph
-
- let graph = builder.build();
-
- println!("final graph: {graph:?}");
-
- Ok(())
- }
-
- #[test]
- fn test_errors() -> Result<(), Box<dyn std::error::Error>> {
- let mut builder = DLGBuilder::default();
-
- // Add five nodes
- builder.add_vertex();
- builder.add_vertex();
- builder.add_vertex();
- builder.add_vertex();
- builder.add_vertex();
-
- println!("five empty nodes: {builder:?}");
-
- // Errors in add_edge
-
- println!();
- println!("Testing errors in add_edge:");
- println!();
-
- assert!(matches!(
- builder.add_edge(0, 5, 0),
- Err(Error::IndexOutOfBounds(5, 5))
- ));
-
- println!("Right error for an index out of bounds as the target");
-
- assert!(matches!(
- builder.add_edge(10, 5, 0),
- Err(Error::IndexOutOfBounds(10, 5))
- ));
-
- println!("Right error for an index out of bounds as the source");
-
- assert!(matches!(
- builder.add_edge(10, 50, 0),
- Err(Error::IndexOutOfBounds(10, 5))
- ));
-
- println!("Right error for both indices out of bounds");
-
- // Errors in remove_edge
-
- println!();
- println!("Testing errors in remove_edge:");
- println!();
-
- assert!(matches!(
- builder.remove_edge(0, 5, |_| true),
- Err(Error::IndexOutOfBounds(5, 5))
- ));
-
- println!("Right error for an index out of bounds as the target");
-
- assert!(matches!(
- builder.remove_edge(10, 5, |_| true),
- Err(Error::IndexOutOfBounds(10, 5))
- ));
-
- println!("Right error for an index out of bounds as the source");
-
- assert!(matches!(
- builder.remove_edge(10, 50, |_| true),
- Err(Error::IndexOutOfBounds(10, 5))
- ));
-
- println!("Right error for both indices out of bounds");
-
- assert!(matches!(builder.remove_edge(0, 1, |_| true), Ok(()),));
-
- println!("No errors for removing a non-existing edge");
-
- println!();
-
- let graph = builder.build();
-
- println!("final graph: {graph:?}");
-
- Ok(())
- }
-}
generated by cgit v1.2.3-18-g5258 (git 2.32.0) at 2024-09-20 12:24:41 +0000