swap u and v

Author: lrvideckis

src/data_structures/binary_trie.rs

@@ -84,7 +84,7 @@ impl BinaryTrie {
     /// # Complexity
     /// - Time: O(log(max_num))
     /// - Space: O(1)
-    pub fn min_xor(&self, num: T) -> T {
+    pub fn walk(&self, num: T) -> T {
         assert!(self.t[0].sub_sz > 0);
         let mut v = 0;
         let mut ans = 0;

src/graphs/block_vertex_tree.rs

@@ -23,16 +23,16 @@
 /// // indexes 0..n are nodes
 /// // indexes n..n + num_bccs are bccs
 ///
-/// for u in 0..n {
-///    // loop over each unique bcc containing a node u
-///    for bccid in bvt[u].iter().map(|v| v - n) {
+/// for v in 0..n {
+///    // loop over each unique bcc containing a node v
+///    for bccid in bvt[v].iter().map(|u| u - n) {
 ///       assert!(0 <= bccid && bccid < num_bccs);
 ///    }
 /// }
 /// for bccid in 0..num_bccs {
 ///     // loop over each unique node inside a bcc
-///    for &u in bvt[bccid + n].iter() {
-///       assert!(0 <= u && u < n);
+///    for &v in bvt[bccid + n].iter() {
+///       assert!(0 <= v && v < n);
 ///    }
 /// }
 /// ```

src/graphs/bridges.rs

@@ -1,7 +1,7 @@
 //! # Bridge Edges
 
 /// # Guarantees
-/// - 0 <= two_edge_ccid\[u\] < num_2_edge_ccs
+/// - 0 <= two_edge_ccid\[v\] < num_2_edge_ccs
 ///
 /// # Example
 /// ```
@@ -41,21 +41,21 @@ pub fn get_bridges(adj: &[Vec<(usize, usize)>], m: usize) -> (usize, Vec<bool>,
         two_edge_ccid: vec![0; n],
         st: Vec::with_capacity(n),
     };
-    fn dfs(e: &mut Env, u: usize, p_id: Option<usize>, adj: &[Vec<(usize, usize)>]) -> usize {
-        e.tin[u] = e.timer;
+    fn dfs(e: &mut Env, v: usize, p_id: Option<usize>, adj: &[Vec<(usize, usize)>]) -> usize {
+        e.tin[v] = e.timer;
         let (mut low, st_sz) = (e.timer, e.st.len());
         e.timer += 1;
-        e.st.push(u);
-        for &(v, e_id) in &adj[u] {
+        e.st.push(v);
+        for &(u, e_id) in &adj[v] {
             if Some(e_id) == p_id {
                 continue;
             }
-            if e.tin[v] == 0 {
-                low = low.min(dfs(e, v, Some(e_id), adj));
+            if e.tin[u] == 0 {
+                low = low.min(dfs(e, u, Some(e_id), adj));
             }
-            low = low.min(e.tin[v]);
+            low = low.min(e.tin[u]);
         }
-        if e.tin[u] == low {
+        if e.tin[v] == low {
             if let Some(p) = p_id {
                 e.is_bridge[p] = true;
             }

src/graphs/cent_decomp.rs

@@ -1,40 +1,40 @@
 //! # Centroid Decomposition
 
-fn calc_sz(adj: &[Vec<usize>], u: usize, p: usize, sub_sz: &mut [usize]) {
-    sub_sz[u] = 1;
-    for &v in adj[u].iter() {
-        if v != p {
-            calc_sz(adj, v, u, sub_sz);
-            sub_sz[u] += sub_sz[v];
+fn calc_sz(adj: &[Vec<usize>], v: usize, p: usize, sub_sz: &mut [usize]) {
+    sub_sz[v] = 1;
+    for &u in adj[v].iter() {
+        if u != p {
+            calc_sz(adj, u, v, sub_sz);
+            sub_sz[v] += sub_sz[u];
         }
     }
 }
 
 fn dfs(
     adj: &mut [Vec<usize>],
-    mut u: usize,
+    mut v: usize,
     sub_sz: &mut [usize],
     call_dfs: &mut dyn CentDecompDfs,
 ) {
-    calc_sz(adj, u, u, sub_sz);
-    let sz_root = sub_sz[u];
-    let mut p = u;
+    calc_sz(adj, v, v, sub_sz);
+    let sz_root = sub_sz[v];
+    let mut p = v;
     loop {
-        let big_ch = adj[u]
+        let big_ch = adj[v]
             .iter()
-            .filter(|&&v| v != p)
-            .find(|&&v| sub_sz[v] * 2 > sz_root);
-        if let Some(&v) = big_ch {
-            p = u;
-            u = v;
+            .filter(|&&u| u != p)
+            .find(|&&u| sub_sz[u] * 2 > sz_root);
+        if let Some(&u) = big_ch {
+            p = v;
+            v = u;
         } else {
             break;
         }
     }
-    call_dfs.dfs(adj, u);
-    for v in adj[u].clone() {
-        adj[v].retain(|&x| x != u);
-        dfs(adj, v, sub_sz, call_dfs);
+    call_dfs.dfs(adj, v);
+    for u in adj[v].clone() {
+        adj[u].retain(|&x| x != v);
+        dfs(adj, u, sub_sz, call_dfs);
     }
 }
 

src/graphs/cuts.rs

@@ -49,21 +49,21 @@ pub fn get_cuts(adj: &[Vec<(usize, usize)>], m: usize) -> (usize, Vec<bool>, Vec
         bcc_id: vec![0; m],
         st: Vec::with_capacity(m),
     };
-    fn dfs(e: &mut Env, u: usize, p_id: Option<usize>, adj: &[Vec<(usize, usize)>]) -> usize {
-        e.tin[u] = e.timer;
+    fn dfs(e: &mut Env, v: usize, p_id: Option<usize>, adj: &[Vec<(usize, usize)>]) -> usize {
+        e.tin[v] = e.timer;
         let (mut low, mut deg) = (e.timer, 0);
         e.timer += 1;
-        for &(v, e_id) in &adj[u] {
-            assert_ne!(u, v);
+        for &(u, e_id) in &adj[v] {
+            assert_ne!(v, u);
             if Some(e_id) == p_id {
                 continue;
             }
-            if e.tin[v] == 0 {
+            if e.tin[u] == 0 {
                 let st_sz = e.st.len();
                 e.st.push(e_id);
-                let low_ch = dfs(e, v, Some(e_id), adj);
-                if low_ch >= e.tin[u] {
-                    e.is_cut[u] = true;
+                let low_ch = dfs(e, u, Some(e_id), adj);
+                if low_ch >= e.tin[v] {
+                    e.is_cut[v] = true;
                     for &id in e.st.iter().skip(st_sz) {
                         e.bcc_id[id] = e.num_bccs;
                     }
@@ -72,13 +72,13 @@ pub fn get_cuts(adj: &[Vec<(usize, usize)>], m: usize) -> (usize, Vec<bool>, Vec
                 }
                 low = low.min(low_ch);
                 deg += 1;
-            } else if e.tin[v] < e.tin[u] {
+            } else if e.tin[u] < e.tin[v] {
                 e.st.push(e_id);
-                low = low.min(e.tin[v]);
+                low = low.min(e.tin[u]);
             }
         }
         if p_id.is_none() {
-            e.is_cut[u] = deg > 1;
+            e.is_cut[v] = deg > 1;
         }
         low
     }

src/graphs/dfs_order.rs

@@ -1,21 +1,21 @@
-fn dfs_preorder(u: usize, adj: &[Vec<usize>], seen: &mut [bool], order: &mut Vec<usize>) {
-    order.push(u);
-    seen[u] = true;
-    for &v in &adj[u] {
-        if !seen[v] {
-            dfs_preorder(v, adj, seen, order);
+fn dfs_preorder(v: usize, adj: &[Vec<usize>], seen: &mut [bool], order: &mut Vec<usize>) {
+    order.push(v);
+    seen[v] = true;
+    for &u in &adj[v] {
+        if !seen[u] {
+            dfs_preorder(u, adj, seen, order);
         }
     }
 }
 
-fn dfs_postorder(u: usize, adj: &[Vec<usize>], seen: &mut [bool], order: &mut Vec<usize>) {
-    seen[u] = true;
-    for &v in &adj[u] {
-        if !seen[v] {
-            dfs_postorder(v, adj, seen, order);
+fn dfs_postorder(v: usize, adj: &[Vec<usize>], seen: &mut [bool], order: &mut Vec<usize>) {
+    seen[v] = true;
+    for &u in &adj[v] {
+        if !seen[u] {
+            dfs_postorder(u, adj, seen, order);
         }
     }
-    order.push(u);
+    order.push(v);
 }
 
 fn get_dfs_order<F>(adj: &[Vec<usize>], dfs_order: F) -> Vec<usize>

src/graphs/dijk.rs

@@ -24,13 +24,13 @@ pub fn dijk(adj: &[Vec<(usize, u64)>], s: usize) -> Vec<u64> {
     let mut dist = vec![u64::MAX; n];
     let mut q = std::collections::BinaryHeap::new();
     q.push(Reverse((0, s)));
-    while let Some(Reverse((d, u))) = q.pop() {
-        if dist[u] <= d {
+    while let Some(Reverse((d, v))) = q.pop() {
+        if dist[v] <= d {
             continue;
         }
-        dist[u] = d;
-        for &(v, w) in &adj[u] {
-            q.push(Reverse((dist[u] + w, v)));
+        dist[v] = d;
+        for &(u, w) in &adj[v] {
+            q.push(Reverse((dist[v] + w, u)));
         }
     }
     dist

src/graphs/hld.rs

@@ -55,27 +55,27 @@ impl HLD {
         let n = adj.len();
         let mut p = vec![None; n];
         let mut siz = vec![0; n];
-        for &u in get_dfs_postorder(adj).iter() {
-            adj[u].retain(|&v| siz[v] > 0);
-            siz[u] = 1;
-            for i in 0..adj[u].len() {
-                let v = adj[u][i];
-                p[v] = Some(u);
-                siz[u] += siz[v];
-                if siz[v] > siz[adj[u][0]] {
-                    adj[u].swap(0, i);
+        for &v in get_dfs_postorder(adj).iter() {
+            adj[v].retain(|&u| siz[u] > 0);
+            siz[v] = 1;
+            for i in 0..adj[v].len() {
+                let u = adj[v][i];
+                p[u] = Some(v);
+                siz[v] += siz[u];
+                if siz[u] > siz[adj[v][0]] {
+                    adj[v].swap(0, i);
                 }
             }
         }
         let mut tin = vec![0; n];
         let mut head = vec![0; n];
         let mut d = vec![0; n];
         let ord = get_dfs_preorder(adj);
-        for (i, &u) in ord.iter().enumerate() {
-            tin[u] = i;
-            for &v in &adj[u] {
-                d[v] = 1 + d[u];
-                head[v] = if v == adj[u][0] { head[u] } else { v };
+        for (i, &v) in ord.iter().enumerate() {
+            tin[v] = i;
+            for &u in &adj[v] {
+                d[u] = 1 + d[v];
+                head[u] = if u == adj[v][0] { head[v] } else { u };
             }
         }
         HLD {
@@ -113,13 +113,13 @@ impl HLD {
         );
     }
 
-    /// Gets range representing the subtree of u
+    /// Gets range representing the subtree of v
     ///
     /// # Complexity
     /// - Time: O(1)
     /// - Space: O(1)
-    pub fn sub_tree(&self, u: usize) -> Range<usize> {
-        self.tin[u] + self.vals_edges as usize..self.tin[u] + self.siz[u]
+    pub fn sub_tree(&self, v: usize) -> Range<usize> {
+        self.tin[v] + self.vals_edges as usize..self.tin[v] + self.siz[v]
     }
 
     /// Gets the lowest common ancestor of u and v
@@ -171,14 +171,14 @@ impl HLD {
     /// # Complexity
     /// - Time: O(log n)
     /// - Space: O(1)
-    pub fn kth_par(&self, mut u: usize, mut k: usize) -> Option<usize> {
+    pub fn kth_par(&self, mut v: usize, mut k: usize) -> Option<usize> {
         loop {
-            let len_path = self.tin[u] - self.tin[self.head[u]];
+            let len_path = self.tin[v] - self.tin[self.head[v]];
             if k <= len_path {
-                return Some(self.ord[self.tin[u] - k]);
+                return Some(self.ord[self.tin[v] - k]);
             }
-            match self.p[self.head[u]] {
-                Some(v) => u = v,
+            match self.p[self.head[v]] {
+                Some(u) => v = u,
                 None => return None,
             }
             k -= len_path + 1;

src/graphs/hopcroft_karp.rs

@@ -74,13 +74,13 @@ impl HopcroftKarp {
             for v in &mut e.mvc_r {
                 *v = false;
             }
-            while let Some(u) = q.pop_front() {
-                e.mvc_l[u] = false;
-                for &v in &adj[u] {
-                    e.mvc_r[v] = true;
-                    if let Some(w) = e.r_to_l[v] {
-                        if dist[w] > 1 + dist[u] {
-                            dist[w] = 1 + dist[u];
+            while let Some(v) = q.pop_front() {
+                e.mvc_l[v] = false;
+                for &u in &adj[v] {
+                    e.mvc_r[u] = true;
+                    if let Some(w) = e.r_to_l[u] {
+                        if dist[w] > 1 + dist[v] {
+                            dist[w] = 1 + dist[v];
                             q.push_back(w);
                         }
                     } else {
@@ -91,17 +91,17 @@ impl HopcroftKarp {
             if !found {
                 return e;
             }
-            fn dfs(u: usize, adj: &[Vec<usize>], dist: &mut [usize], e: &mut HopcroftKarp) -> bool {
-                for &v in &adj[u] {
-                    let w = e.r_to_l[v];
+            fn dfs(v: usize, adj: &[Vec<usize>], dist: &mut [usize], e: &mut HopcroftKarp) -> bool {
+                for &u in &adj[v] {
+                    let w = e.r_to_l[u];
                     if w.is_none()
-                        || dist[u] + 1 == dist[w.unwrap()] && dfs(w.unwrap(), adj, dist, e)
+                        || dist[v] + 1 == dist[w.unwrap()] && dfs(w.unwrap(), adj, dist, e)
                     {
-                        (e.l_to_r[u], e.r_to_l[v]) = (Some(v), Some(u));
+                        (e.l_to_r[v], e.r_to_l[u]) = (Some(u), Some(v));
                         return true;
                     }
                 }
-                dist[u] = usize::MAX;
+                dist[v] = usize::MAX;
                 false
             }
             e.matching_siz += (0..lsz)

src/graphs/lca.rs

@@ -47,24 +47,24 @@ impl LCA {
         let mut p = vec![None; n];
         let mut d = vec![0; n];
         let order = get_dfs_preorder(adj);
-        for (i, &u) in order.iter().enumerate() {
-            tin[u] = i;
-            for &v in &adj[u] {
-                if Some(v) != p[u] {
-                    (p[v], d[v]) = (Some(u), d[u] + 1);
+        for (i, &v) in order.iter().enumerate() {
+            tin[v] = i;
+            for &u in &adj[v] {
+                if Some(u) != p[v] {
+                    (p[u], d[u]) = (Some(v), d[v] + 1);
                 }
             }
         }
         let mut siz = vec![1; n];
-        for &u in order.iter().rev() {
-            if let Some(par) = p[u] {
-                siz[par] += siz[u];
+        for &v in order.iter().rev() {
+            if let Some(par) = p[v] {
+                siz[par] += siz[v];
             }
         }
         LCA {
             p,
             rmq: RMQ::new(
-                &order.iter().map(|&u| (d[u], u)).collect::<Vec<_>>(),
+                &order.iter().map(|&v| (d[v], v)).collect::<Vec<_>>(),
                 |&x, &y| if x.0 < y.0 { x } else { y },
             ),
             d,