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@ -1,12 +1,20 @@
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use std::{
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cell::RefCell,
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collections::{HashMap, HashSet, VecDeque},
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collections::{BTreeMap, HashMap, HashSet, VecDeque},
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fmt::Debug,
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hash::Hash,
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rc::Rc,
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};
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use indicatif::ProgressIterator;
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use indicatif::{ProgressBar, ProgressIterator};
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#[derive(Debug, Hash, PartialEq, Eq, PartialOrd, Ord)]
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pub enum EdgeType {
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TreeEdge,
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BackEdge,
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ForwardEdge,
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CrossEdge,
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}
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#[derive(Debug)]
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pub struct AdjacencyGraph<V>
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@ -109,10 +117,171 @@ where
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return Some(node.clone());
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}
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None
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})
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}
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/// This computes if this undirected graph is cyclic or not by searching for an oriented cycle in the graph
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pub fn is_cyclic(&self) -> bool {
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let mut remaining_nodes = self.nodes.iter().collect::<HashSet<_>>();
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// let progress_bar = ProgressBar::new(self.nodes.len() as u64);
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// let mut visited_count = 0;
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while !remaining_nodes.is_empty() {
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let start: &V = remaining_nodes.iter().next().unwrap();
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// visited_count += 1;
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remaining_nodes.remove(start);
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// progress_bar.inc(1);
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let mut dfs_visited = HashSet::new();
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let mut stack = VecDeque::new();
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stack.push_back(start);
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// start a new dfs from the current node
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while let Some(node) = stack.pop_back() {
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if dfs_visited.contains(node) {
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// println!("Found cycle after {} nodes", visited_count);
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// progress_bar.finish();
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return true;
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}
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// visited_count += 1;
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remaining_nodes.remove(node);
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// progress_bar.inc(1);
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dfs_visited.insert(node.clone());
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if let Some(adjacencies) = self.get_adjacencies(node) {
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stack.extend(adjacencies);
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}
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}
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}
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// println!("Found cycle after {} nodes", visited_count);
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// progress_bar.finish();
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false
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}
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pub fn compute_edge_types(&self) -> HashMap<(&V, &V), EdgeType> {
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/// To correctly compute the start and end times of the nodes in the graph, we need to keep do work before and after the recursion
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/// call
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enum RecurseState {
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Before,
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AfterNeighbor,
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}
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let mut edge_types = HashMap::new();
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let mut visited = HashSet::new();
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let mut start_times = HashMap::new();
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let mut end_times = HashMap::new();
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let mut time = 0;
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let progress_bar = ProgressBar::new(self.nodes.len() as u64);
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for node in self.nodes.iter() {
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if visited.contains(node) {
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continue;
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}
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let mut stack = Vec::new();
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stack.push((node, RecurseState::Before));
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while let Some((node, state)) = stack.pop() {
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match state {
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RecurseState::Before => {
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progress_bar.inc(1);
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visited.insert(node.clone());
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start_times.insert(node, time);
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time += 1;
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// this is extremely important that is before the adjacencies to correctly
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// iterate over the graph
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if let Some(adjacencies) = self.get_adjacencies(node) {
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for adj in adjacencies {
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// if visited.contains(adj) {
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// if start_times.get(adj) < start_times.get(node) {
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// edge_types.insert((node, adj), EdgeType::BackEdge);
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// } else {
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// edge_types.insert((node, adj), EdgeType::CrossEdge);
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// }
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// } else {
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// edge_types.insert((node, adj), EdgeType::ForwardEdge);
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// stack.push((adj, RecurseState::Before));
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// }
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stack.push((node, RecurseState::AfterNeighbor));
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if !visited.contains(adj) {
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edge_types.insert((node, adj), EdgeType::TreeEdge);
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stack.push((adj, RecurseState::Before));
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} else {
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let start_time_node = start_times.get(node).unwrap();
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let start_time_adj = start_times.get(adj).unwrap();
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let end_time_node = end_times.get(node).unwrap_or(&0);
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let end_time_adj = end_times.get(adj).unwrap_or(&0);
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if start_time_node < start_time_adj
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&& end_time_node > end_time_adj
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{
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edge_types.insert((node, adj), EdgeType::ForwardEdge);
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} else if start_time_node > start_time_adj
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&& end_time_node < end_time_adj
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{
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edge_types.insert((node, adj), EdgeType::BackEdge);
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// } else if start_time_node > start_time_adj
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// && end_time_node > end_time_adj
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// {
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// edge_types.insert((node, adj), EdgeType::CrossEdge);
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} else {
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edge_types.insert((node, adj), EdgeType::CrossEdge);
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}
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}
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}
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}
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}
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RecurseState::AfterNeighbor => {
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end_times.insert(node, time);
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time += 1;
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}
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}
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}
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}
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// for node in self.nodes.iter() {
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// let mut stack = Vec::new();
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// if visited.contains(node) {
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// continue;
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// }
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// stack.push(node);
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// while let Some(node) = stack.pop() {
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// visited.insert(node.clone());
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// if let Some(adjacencies) = self.get_adjacencies(node) {
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// for adj in adjacencies {
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// if visited.contains(adj) {
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// // ...
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// } else {
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// edge_types.insert((node, adj), EdgeType::TreeEdge);
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// stack.push(adj);
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// }
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// }
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// }
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// }
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// }
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edge_types
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}
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pub fn shortest_path_matrix(&self) -> HashMap<&V, HashMap<&V, usize>> {
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let mut result = HashMap::new();
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@ -270,4 +439,45 @@ where
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result
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}
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/// This function prints the number of nodes, edges and a histogram of the degrees of the nodes
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/// in the graph (computing the degrees might take a long time)
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pub fn print_stats(&self) {
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let mut vertices_degrees = HashMap::new();
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for (from, tos) in self
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.adjacencies
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.iter()
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.progress()
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.with_style(
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indicatif::ProgressStyle::default_bar()
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.template("{prefix} {spinner} [{elapsed_precise}] [{wide_bar}] {pos}/{len}")
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.unwrap(),
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)
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.with_prefix("computing nodes degrees")
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{
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*vertices_degrees.entry(from).or_insert(0) += tos.len();
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for to in tos {
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*vertices_degrees.entry(to).or_insert(0) += 1;
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}
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}
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let histogram: BTreeMap<usize, usize> = vertices_degrees
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.iter()
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.map(|(_, degree)| *degree)
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.fold(BTreeMap::new(), |mut acc, degree| {
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*acc.entry(degree).or_insert(0) += 1;
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acc
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});
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println!("Stats:");
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println!("Nodes: {}", self.nodes.len());
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println!("Edges: {}", self.edges().count());
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println!("Histogram:");
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for (degree, count) in histogram.iter() {
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println!("{}: {}", degree, count);
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}
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}
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}
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