init repo

.envrc

@@ -0,0 +1 @@
+use flake

.gitattributes

@@ -0,0 +1,12 @@
+#
+# https://help.github.com/articles/dealing-with-line-endings/
+#
+# Linux start script should use lf
+/gradlew        text eol=lf
+
+# These are Windows script files and should use crlf
+*.bat           text eol=crlf
+
+# Binary files should be left untouched
+*.jar           binary
+

.gitignore

@@ -0,0 +1,69 @@
+# Ignore Gradle project-specific cache directory
+.gradle/
+
+# Ignore Gradle build output directory
+build/
+
+# Ignore automatically generated direnv output
+.direnv
+
+# Ignore build outputs from performing a nix-build or `nix build` command
+result
+result-*
+
+# Compiled class file
+*.class
+
+# Log file
+*.log
+
+# Package Files #
+*.jar
+*.war
+*.nar
+*.ear
+*.zip
+*.tar.gz
+*.rar
+
+# Ignore Gradle GUI config
+gradle-app.setting
+
+# Avoid ignoring Gradle wrapper jar file (.jar files are usually ignored)
+!gradle-wrapper.jar
+
+# Avoid ignore Gradle wrapper properties
+!gradle-wrapper.peoperties
+
+# Cache of project
+.gradletasknamecache
+
+# Eclipst
+.project
+.metadata
+bin/
+tmp/
+*.tmp
+*.bak
+*.swp
+*~.nib
+.settings/
+.loadpath
+.recommanders
+.classpath
+.factorypath
+
+# Idea config file
+.idea/
+*.iml
+*iws
+*.ipr
+out/
+.idea_modules/
+
+# Virtual machine crash logs
+hs_err_pid*
+replay_pid*
+
+# Local properties file
+local.properties

.helix/languages.toml

@@ -0,0 +1,11 @@
+[[language]]
+name = "kotlin"
+formatter = { command = "ktfmt", args = ["-"] }
+[[language]]
+name = "java"
+[language.indent]
+tab-width = 4
+unit = "    "
+
+[language-server.jdtls.config.settings.java.format]
+enabled = true

.zed/settings.json

@@ -0,0 +1,13 @@
+{
+  "tab_size": 2,
+  "languages": {
+    "Java": {
+      "tab_size": 4,
+      "formatter": {
+        "language_server": {
+          "name": "jdtls"
+        }
+      }
+    }
+  }
+}

app/build.gradle.kts

@@ -0,0 +1,39 @@
+/*
+ * This file was generated by the Gradle 'init' task.
+ *
+ * This generated file contains a sample Java application project to get you started.
+ * For more details on building Java & JVM projects, please refer to https://docs.gradle.org/8.13/userguide/building_java_projects.html in the Gradle documentation.
+ */
+
+plugins {
+  // Apply the application plugin to add support for building a CLI application in Java.
+  application
+}
+
+repositories {
+  // Use Maven Central for resolving dependencies.
+  mavenCentral()
+}
+
+dependencies {
+  // Use JUnit Jupiter for testing.
+  testImplementation(libs.junit.jupiter)
+
+  testRuntimeOnly("org.junit.platform:junit-platform-launcher")
+
+  // This dependency is used by the application.
+  implementation(libs.guava)
+}
+
+// Apply a specific Java toolchain to ease working on different environments.
+java { toolchain { languageVersion = JavaLanguageVersion.of(21) } }
+
+application {
+  // Define the main class for the application.
+  mainClass = "fun.youthlic.Graph"
+}
+
+tasks.named<Test>("test") {
+  // Use JUnit Platform for unit tests.
+  useJUnitPlatform()
+}

app/src/main/java/fun/youthlic/Graph.java

@@ -0,0 +1,324 @@
+package fun.youthlic;
+
+import java.util.ArrayList;
+import java.util.Comparator;
+import java.util.HashMap;
+import java.util.LinkedList;
+import java.util.List;
+import java.util.Locale;
+import java.util.Map;
+import java.util.Optional;
+import java.util.PriorityQueue;
+import java.util.Random;
+import java.util.function.Function;
+import java.util.stream.IntStream;
+
+public class Graph {
+
+    public record EdgeRecord(String node1, String node2, int weight) {
+    }
+
+    private static class Node {
+
+        String id;
+        Map<Node, Integer> edges;
+
+        Node(final String id) {
+            this.id = id;
+            this.edges = new HashMap<>();
+        }
+
+        void addEdge(final Node target) {
+            edges.put(target, edges.getOrDefault(target, 0) + 1);
+        }
+
+        List<String> getDOTEdges(final Function<EdgeRecord, String> callback) {
+            final var dotEdges = new ArrayList<String>();
+            for (final var entry : edges.entrySet()) {
+                final Node target = entry.getKey();
+                final int weight = entry.getValue();
+                dotEdges.add(
+                        callback.apply(new EdgeRecord(id, target.id, weight)) + ";\n");
+            }
+            return dotEdges;
+        }
+
+        List<String> getDOTEdges() {
+            final var dotEdges = new ArrayList<String>();
+            for (final var entry : edges.entrySet()) {
+                final Node target = entry.getKey();
+                final int weight = entry.getValue();
+                dotEdges.add(
+                        String.format("%s -> %s [label=\"%d\"];\n", id, target.id, weight));
+            }
+            return dotEdges;
+        }
+    }
+
+    public static void main(final String[] args) {
+        final var g = new Graph(
+                "To explore strange new worlds, To seek out new life and new civilizations");
+        final var words = g.findBridgeWords("team", "so");
+        System.out.println(words);
+        final var path = g.findShortestPath("the", "shared");
+        System.out.println(path);
+        System.out.println(
+                g.toDOT(r -> String.format(
+                        "\"%s\" -> \"%s\" [label=\"%d\"%s]",
+                        r.node1 + (path.contains(r.node1) ? "~" : ""),
+                        r.node2 + (path.contains(r.node2) ? "~" : ""),
+                        r.weight,
+                        (path.contains(r.node1) &&
+                                path.contains(r.node2) &&
+                                IntStream.range(0, path.size() - 1).anyMatch(
+                                        i -> path.get(i).equals(r.node1) && path.get(i + 1).equals(r.node2)))
+                                                ? ",color=\"red\""
+                                                : "")));
+        System.out.println(g.computePageRank("new", 0.85));
+        System.out.println(g.randomWalk());
+    }
+
+    private final Map<String, Node> nodes;
+
+    private Map<Node, Double> pageRanks;
+
+    public Graph(final String input, final double d) {
+        nodes = new HashMap<>();
+        parse(input);
+        initRageRanks(d);
+    }
+
+    public Graph(final String input) {
+        nodes = new HashMap<>();
+        parse(input);
+        initRageRanks(0.85);
+    }
+
+    public Optional<List<String>> findBridgeWords(final String word1, final String word2) {
+        final Node node1 = nodes.get(word1.toLowerCase(Locale.ENGLISH));
+        final Node node2 = nodes.get(word2.toLowerCase(Locale.ENGLISH));
+
+        if (node1 == null || node2 == null) {
+            return Optional.empty();
+        }
+
+        final var bridgeWords = new ArrayList<String>();
+        for (final var node : node1.edges.keySet()) {
+            if (node.edges.containsKey(node2)) {
+                bridgeWords.add(node.id);
+            }
+        }
+        return Optional.of(bridgeWords);
+    }
+
+    public List<String> findShortestPath(final String word1, final String word2) {
+        final var startWord = word1.toLowerCase(Locale.ENGLISH);
+        final var endWord = word2.toLowerCase(Locale.ENGLISH);
+        final var path = new ArrayList<String>();
+
+        if (!nodes.containsKey(startWord) || !nodes.containsKey(endWord)) {
+            return path;
+        }
+
+        final Node startNode = nodes.get(startWord);
+        final Node endNode = nodes.get(endWord);
+
+        if (startNode == endNode) {
+            path.add(startNode.id);
+            return path;
+        }
+
+        final var distances = new HashMap<Node, Integer>();
+        final var previousNodes = new HashMap<Node, Node>();
+        final var queue = new PriorityQueue<Node>(
+                Comparator.comparingInt(node -> distances.getOrDefault(node, Integer.MAX_VALUE)));
+
+        for (final var node : nodes.values()) {
+            distances.put(node, Integer.MAX_VALUE);
+        }
+        distances.put(startNode, 0);
+        queue.add(startNode);
+
+        while (!queue.isEmpty()) {
+            final Node current = queue.poll();
+            for (final var edge : current.edges.entrySet()) {
+                final Node neighbor = edge.getKey();
+                final int weight = edge.getValue();
+
+                final int newDist = distances.get(current) + weight;
+                if (newDist < distances.get(neighbor)) {
+                    distances.put(neighbor, newDist);
+                    previousNodes.put(neighbor, current);
+                    queue.add(neighbor);
+                }
+            }
+        }
+
+        if (distances.get(endNode) == Integer.MAX_VALUE) {
+            return path;
+        }
+
+        final var reversePath = new LinkedList<String>();
+        Node current = endNode;
+        while (current != null) {
+            reversePath.addFirst(current.id);
+            current = previousNodes.get(current);
+        }
+
+        return reversePath;
+    }
+
+    public double computePageRank(final String nodeId, final double d) {
+        final Node node = nodes.get(nodeId);
+        if (node == null) {
+            return 0.0;
+        }
+
+        return pageRanks.getOrDefault(node, 0.0);
+    }
+
+    public List<String> randomWalk() {
+        final var path = new ArrayList<String>();
+        if (nodes.isEmpty()) {
+            return path;
+        }
+
+        final var random = new Random();
+        final var nodeIds = new ArrayList<>(nodes.keySet());
+        final String startNodeId = nodeIds.get(random.nextInt(nodeIds.size()));
+        path.add(startNodeId);
+
+        final var usedEdges = new HashMap<String, Integer>();
+        var currentNode = nodes.get(startNodeId);
+        while (true) {
+            final var availableEdge = new ArrayList<Map.Entry<Node, Integer>>();
+            int totalWeight = 0;
+            for (final var entry : currentNode.edges.entrySet()) {
+                final String edgeKey = currentNode.id + " -> " + entry.getKey().id;
+                if (usedEdges.getOrDefault(edgeKey, 0) < 2) {
+                    availableEdge.add(entry);
+                    totalWeight += entry.getValue();
+                }
+            }
+
+            if (availableEdge.isEmpty()) {
+                break;
+            }
+
+            final double randomValue = random.nextDouble() * totalWeight;
+            double cumulative = 0.0;
+            Node nextNode = null;
+
+            for (final var entry : availableEdge) {
+                cumulative += entry.getValue();
+                if (randomValue < cumulative) {
+                    nextNode = entry.getKey();
+                    break;
+                }
+            }
+
+            assert nextNode != null;
+            final String edgeKey = currentNode.id + " -> " + nextNode.id;
+            final int edgeTimes = usedEdges.getOrDefault(edgeKey, 0) + 1;
+            usedEdges.put(edgeKey, edgeTimes);
+            path.add(nextNode.id);
+            currentNode = nextNode;
+
+            if (edgeTimes >= 2) {
+                break;
+            }
+        }
+        return path;
+    }
+
+    public String toDOT(final Function<EdgeRecord, String> callback) {
+        final var sb = new StringBuilder();
+        sb.append("digraph G {\n");
+        for (final Node node : nodes.values()) {
+            for (final String edge : node.getDOTEdges(callback)) {
+                sb.append("    ").append(edge);
+            }
+        }
+        sb.append("}");
+        return sb.toString();
+    }
+
+    public String toDOT() {
+        final var sb = new StringBuilder();
+        sb.append("digraph G {\n");
+        for (final Node node : nodes.values()) {
+            for (final String edge : node.getDOTEdges()) {
+                sb.append("    ").append(edge).append("\n");
+            }
+        }
+        sb.append("}");
+        return sb.toString();
+    }
+
+    private void parse(final String input) {
+        final String[] tokens = input.toLowerCase(Locale.ENGLISH).split("[ \n\r]+");
+        final var words = new ArrayList<String>();
+
+        for (final var token : tokens) {
+            final String word = token.replaceAll("[^a-zA-Z]", "");
+            if (!word.isEmpty()) {
+                words.add(word);
+            }
+        }
+
+        for (int i = 0; i < words.size() - 1; i++) {
+            final String currentWord = words.get(i);
+            final String nextWord = words.get(i + 1);
+
+            final Node currentNode = getOrCreateNode(currentWord);
+            final Node nextNode = getOrCreateNode(nextWord);
+
+            currentNode.addEdge(nextNode);
+        }
+    }
+
+    private Node getOrCreateNode(final String word) {
+        return nodes.computeIfAbsent(word, Node::new);
+    }
+
+    private void initRageRanks(final double d) {
+        final int totalNodes = nodes.size();
+        if (totalNodes == 0) {
+            pageRanks = new HashMap<>();
+            return;
+        }
+        var myPageRanks = new HashMap<Node, Double>();
+        final double initRank = 1.0 / totalNodes;
+        for (final var n : nodes.values()) {
+            myPageRanks.put(n, initRank);
+        }
+
+        final int iterations = 100;
+        for (int i = 0; i < iterations; i++) {
+            final var newPageRanks = new HashMap<Node, Double>();
+            nodes.values().forEach(n -> newPageRanks.put(n, 0.0));
+            for (final var curr : nodes.values()) {
+                final int totalEdges = curr.edges.size();
+
+                for (final var entry : curr.edges.entrySet()) {
+                    final Node neighbor = entry.getKey();
+                    final double contribution = myPageRanks.get(curr) / totalEdges;
+                    newPageRanks.put(neighbor, newPageRanks.get(neighbor) + contribution);
+                }
+            }
+
+            final double damplingTerm = (1.0 - d) / totalNodes;
+            nodes.values().forEach(n -> newPageRanks.put(n, damplingTerm + d * newPageRanks.get(n)));
+            myPageRanks = newPageRanks;
+        }
+
+        pageRanks = myPageRanks;
+        for (final var node : nodes.values()) {
+            if (node.edges.isEmpty()) {
+                nodes.values().stream().filter(n -> !n.equals(node))
+                        .forEach(n -> pageRanks.put(n, pageRanks.get(n) + pageRanks.get(node) / (totalNodes - 1)));
+                pageRanks.put(node, 0.0);
+            }
+        }
+    }
+}

flake.lock

@@ -0,0 +1,60 @@
+{
+  "nodes": {
+    "flake-utils": {
+      "inputs": {
+        "systems": "systems"
+      },
+      "locked": {
+        "lastModified": 1731533236,
+        "narHash": "sha256-l0KFg5HjrsfsO/JpG+r7fRrqm12kzFHyUHqHCVpMMbI=",
+        "owner": "numtide",
+        "repo": "flake-utils",
+        "rev": "11707dc2f618dd54ca8739b309ec4fc024de578b",
+        "type": "github"
+      },
+      "original": {
+        "id": "flake-utils",
+        "type": "indirect"
+      }
+    },
+    "nixpkgs": {
+      "locked": {
+        "lastModified": 1745377448,
+        "narHash": "sha256-jhZDfXVKdD7TSEGgzFJQvEEZ2K65UMiqW5YJ2aIqxMA=",
+        "owner": "NixOS",
+        "repo": "nixpkgs",
+        "rev": "507b63021ada5fee621b6ca371c4fca9ca46f52c",
+        "type": "github"
+      },
+      "original": {
+        "owner": "NixOS",
+        "ref": "nixpkgs-unstable",
+        "repo": "nixpkgs",
+        "type": "github"
+      }
+    },
+    "root": {
+      "inputs": {
+        "flake-utils": "flake-utils",
+        "nixpkgs": "nixpkgs"
+      }
+    },
+    "systems": {
+      "locked": {
+        "lastModified": 1681028828,
+        "narHash": "sha256-Vy1rq5AaRuLzOxct8nz4T6wlgyUR7zLU309k9mBC768=",
+        "owner": "nix-systems",
+        "repo": "default",
+        "rev": "da67096a3b9bf56a91d16901293e51ba5b49a27e",
+        "type": "github"
+      },
+      "original": {
+        "owner": "nix-systems",
+        "repo": "default",
+        "type": "github"
+      }
+    }
+  },
+  "root": "root",
+  "version": 7
+}

flake.nix

@@ -0,0 +1,33 @@
+{
+  inputs = {
+    nixpkgs.url = "github:NixOS/nixpkgs/nixpkgs-unstable";
+  };
+  outputs = {
+    nixpkgs,
+    flake-utils,
+    ...
+  }:
+    flake-utils.lib.eachDefaultSystem (
+      system: let
+        pkgs = import nixpkgs {
+          inherit system;
+          config = {
+            supportCuda = true;
+          };
+        };
+      in {
+        devShells.default = pkgs.mkShell {
+          packages = with pkgs; [
+            jdk
+            gradle
+            kotlin-language-server
+            ktfmt
+            jdt-language-server
+
+            graph-easy
+            graphviz
+          ];
+        };
+      }
+    );
+}

gradle.properties

@@ -0,0 +1,5 @@
+# This file was generated by the Gradle 'init' task.
+# https://docs.gradle.org/current/userguide/build_environment.html#sec:gradle_configuration_properties
+
+org.gradle.configuration-cache=true
+

gradle/libs.versions.toml

@@ -0,0 +1,10 @@
+# This file was generated by the Gradle 'init' task.
+# https://docs.gradle.org/current/userguide/platforms.html#sub::toml-dependencies-format
+
+[versions]
+guava = "33.3.1-jre"
+junit-jupiter = "5.11.3"
+
+[libraries]
+guava = { module = "com.google.guava:guava", version.ref = "guava" }
+junit-jupiter = { module = "org.junit.jupiter:junit-jupiter", version.ref = "junit-jupiter" }

gradle/wrapper/gradle-wrapper.properties

@@ -0,0 +1,7 @@
+distributionBase=GRADLE_USER_HOME
+distributionPath=wrapper/dists
+distributionUrl=https\://services.gradle.org/distributions/gradle-8.13-bin.zip
+networkTimeout=10000
+validateDistributionUrl=true
+zipStoreBase=GRADLE_USER_HOME
+zipStorePath=wrapper/dists

gradlew

@@ -0,0 +1,251 @@
+#!/bin/sh
+
+#
+# Copyright © 2015-2021 the original authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#      https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#
+# SPDX-License-Identifier: Apache-2.0
+#
+
+##############################################################################
+#
+#   Gradle start up script for POSIX generated by Gradle.
+#
+#   Important for running:
+#
+#   (1) You need a POSIX-compliant shell to run this script. If your /bin/sh is
+#       noncompliant, but you have some other compliant shell such as ksh or
+#       bash, then to run this script, type that shell name before the whole
+#       command line, like:
+#
+#           ksh Gradle
+#
+#       Busybox and similar reduced shells will NOT work, because this script
+#       requires all of these POSIX shell features:
+#         * functions;
+#         * expansions «$var», «${var}», «${var:-default}», «${var+SET}»,
+#           «${var#prefix}», «${var%suffix}», and «$( cmd )»;
+#         * compound commands having a testable exit status, especially «case»;
+#         * various built-in commands including «command», «set», and «ulimit».
+#
+#   Important for patching:
+#
+#   (2) This script targets any POSIX shell, so it avoids extensions provided
+#       by Bash, Ksh, etc; in particular arrays are avoided.
+#
+#       The "traditional" practice of packing multiple parameters into a
+#       space-separated string is a well documented source of bugs and security
+#       problems, so this is (mostly) avoided, by progressively accumulating
+#       options in "$@", and eventually passing that to Java.
+#
+#       Where the inherited environment variables (DEFAULT_JVM_OPTS, JAVA_OPTS,
+#       and GRADLE_OPTS) rely on word-splitting, this is performed explicitly;
+#       see the in-line comments for details.
+#
+#       There are tweaks for specific operating systems such as AIX, CygWin,
+#       Darwin, MinGW, and NonStop.
+#
+#   (3) This script is generated from the Groovy template
+#       https://github.com/gradle/gradle/blob/HEAD/platforms/jvm/plugins-application/src/main/resources/org/gradle/api/internal/plugins/unixStartScript.txt
+#       within the Gradle project.
+#
+#       You can find Gradle at https://github.com/gradle/gradle/.
+#
+##############################################################################
+
+# Attempt to set APP_HOME
+
+# Resolve links: $0 may be a link
+app_path=$0
+
+# Need this for daisy-chained symlinks.
+while
+    APP_HOME=${app_path%"${app_path##*/}"}  # leaves a trailing /; empty if no leading path
+    [ -h "$app_path" ]
+do
+    ls=$( ls -ld "$app_path" )
+    link=${ls#*' -> '}
+    case $link in             #(
+      /*)   app_path=$link ;; #(
+      *)    app_path=$APP_HOME$link ;;
+    esac
+done
+
+# This is normally unused
+# shellcheck disable=SC2034
+APP_BASE_NAME=${0##*/}
+# Discard cd standard output in case $CDPATH is set (https://github.com/gradle/gradle/issues/25036)
+APP_HOME=$( cd -P "${APP_HOME:-./}" > /dev/null && printf '%s\n' "$PWD" ) || exit
+
+# Use the maximum available, or set MAX_FD != -1 to use that value.
+MAX_FD=maximum
+
+warn () {
+    echo "$*"
+} >&2
+
+die () {
+    echo
+    echo "$*"
+    echo
+    exit 1
+} >&2
+
+# OS specific support (must be 'true' or 'false').
+cygwin=false
+msys=false
+darwin=false
+nonstop=false
+case "$( uname )" in                #(
+  CYGWIN* )         cygwin=true  ;; #(
+  Darwin* )         darwin=true  ;; #(
+  MSYS* | MINGW* )  msys=true    ;; #(
+  NONSTOP* )        nonstop=true ;;
+esac
+
+CLASSPATH=$APP_HOME/gradle/wrapper/gradle-wrapper.jar
+
+
+# Determine the Java command to use to start the JVM.
+if [ -n "$JAVA_HOME" ] ; then
+    if [ -x "$JAVA_HOME/jre/sh/java" ] ; then
+        # IBM's JDK on AIX uses strange locations for the executables
+        JAVACMD=$JAVA_HOME/jre/sh/java
+    else
+        JAVACMD=$JAVA_HOME/bin/java
+    fi
+    if [ ! -x "$JAVACMD" ] ; then
+        die "ERROR: JAVA_HOME is set to an invalid directory: $JAVA_HOME
+
+Please set the JAVA_HOME variable in your environment to match the
+location of your Java installation."
+    fi
+else
+    JAVACMD=java
+    if ! command -v java >/dev/null 2>&1
+    then
+        die "ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH.
+
+Please set the JAVA_HOME variable in your environment to match the
+location of your Java installation."
+    fi
+fi
+
+# Increase the maximum file descriptors if we can.
+if ! "$cygwin" && ! "$darwin" && ! "$nonstop" ; then
+    case $MAX_FD in #(
+      max*)
+        # In POSIX sh, ulimit -H is undefined. That's why the result is checked to see if it worked.
+        # shellcheck disable=SC2039,SC3045
+        MAX_FD=$( ulimit -H -n ) ||
+            warn "Could not query maximum file descriptor limit"
+    esac
+    case $MAX_FD in  #(
+      '' | soft) :;; #(
+      *)
+        # In POSIX sh, ulimit -n is undefined. That's why the result is checked to see if it worked.
+        # shellcheck disable=SC2039,SC3045
+        ulimit -n "$MAX_FD" ||
+            warn "Could not set maximum file descriptor limit to $MAX_FD"
+    esac
+fi
+
+# Collect all arguments for the java command, stacking in reverse order:
+#   * args from the command line
+#   * the main class name
+#   * -classpath
+#   * -D...appname settings
+#   * --module-path (only if needed)
+#   * DEFAULT_JVM_OPTS, JAVA_OPTS, and GRADLE_OPTS environment variables.
+
+# For Cygwin or MSYS, switch paths to Windows format before running java
+if "$cygwin" || "$msys" ; then
+    APP_HOME=$( cygpath --path --mixed "$APP_HOME" )
+    CLASSPATH=$( cygpath --path --mixed "$CLASSPATH" )
+
+    JAVACMD=$( cygpath --unix "$JAVACMD" )
+
+    # Now convert the arguments - kludge to limit ourselves to /bin/sh
+    for arg do
+        if
+            case $arg in                                #(
+              -*)   false ;;                            # don't mess with options #(
+              /?*)  t=${arg#/} t=/${t%%/*}              # looks like a POSIX filepath
+                    [ -e "$t" ] ;;                      #(
+              *)    false ;;
+            esac
+        then
+            arg=$( cygpath --path --ignore --mixed "$arg" )
+        fi
+        # Roll the args list around exactly as many times as the number of
+        # args, so each arg winds up back in the position where it started, but
+        # possibly modified.
+        #
+        # NB: a `for` loop captures its iteration list before it begins, so
+        # changing the positional parameters here affects neither the number of
+        # iterations, nor the values presented in `arg`.
+        shift                   # remove old arg
+        set -- "$@" "$arg"      # push replacement arg
+    done
+fi
+
+
+# Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
+DEFAULT_JVM_OPTS='"-Xmx64m" "-Xms64m"'
+
+# Collect all arguments for the java command:
+#   * DEFAULT_JVM_OPTS, JAVA_OPTS, and optsEnvironmentVar are not allowed to contain shell fragments,
+#     and any embedded shellness will be escaped.
+#   * For example: A user cannot expect ${Hostname} to be expanded, as it is an environment variable and will be
+#     treated as '${Hostname}' itself on the command line.
+
+set -- \
+        "-Dorg.gradle.appname=$APP_BASE_NAME" \
+        -classpath "$CLASSPATH" \
+        org.gradle.wrapper.GradleWrapperMain \
+        "$@"
+
+# Stop when "xargs" is not available.
+if ! command -v xargs >/dev/null 2>&1
+then
+    die "xargs is not available"
+fi
+
+# Use "xargs" to parse quoted args.
+#
+# With -n1 it outputs one arg per line, with the quotes and backslashes removed.
+#
+# In Bash we could simply go:
+#
+#   readarray ARGS < <( xargs -n1 <<<"$var" ) &&
+#   set -- "${ARGS[@]}" "$@"
+#
+# but POSIX shell has neither arrays nor command substitution, so instead we
+# post-process each arg (as a line of input to sed) to backslash-escape any
+# character that might be a shell metacharacter, then use eval to reverse
+# that process (while maintaining the separation between arguments), and wrap
+# the whole thing up as a single "set" statement.
+#
+# This will of course break if any of these variables contains a newline or
+# an unmatched quote.
+#
+
+eval "set -- $(
+        printf '%s\n' "$DEFAULT_JVM_OPTS $JAVA_OPTS $GRADLE_OPTS" |
+        xargs -n1 |
+        sed ' s~[^-[:alnum:]+,./:=@_]~\\&~g; ' |
+        tr '\n' ' '
+    )" '"$@"'
+
+exec "$JAVACMD" "$@"

gradlew.bat

@@ -0,0 +1,94 @@
+@rem
+@rem Copyright 2015 the original author or authors.
+@rem
+@rem Licensed under the Apache License, Version 2.0 (the "License");
+@rem you may not use this file except in compliance with the License.
+@rem You may obtain a copy of the License at
+@rem
+@rem      https://www.apache.org/licenses/LICENSE-2.0
+@rem
+@rem Unless required by applicable law or agreed to in writing, software
+@rem distributed under the License is distributed on an "AS IS" BASIS,
+@rem WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+@rem See the License for the specific language governing permissions and
+@rem limitations under the License.
+@rem
+@rem SPDX-License-Identifier: Apache-2.0
+@rem
+
+@if "%DEBUG%"=="" @echo off
+@rem ##########################################################################
+@rem
+@rem  Gradle startup script for Windows
+@rem
+@rem ##########################################################################
+
+@rem Set local scope for the variables with windows NT shell
+if "%OS%"=="Windows_NT" setlocal
+
+set DIRNAME=%~dp0
+if "%DIRNAME%"=="" set DIRNAME=.
+@rem This is normally unused
+set APP_BASE_NAME=%~n0
+set APP_HOME=%DIRNAME%
+
+@rem Resolve any "." and ".." in APP_HOME to make it shorter.
+for %%i in ("%APP_HOME%") do set APP_HOME=%%~fi
+
+@rem Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script.
+set DEFAULT_JVM_OPTS="-Xmx64m" "-Xms64m"
+
+@rem Find java.exe
+if defined JAVA_HOME goto findJavaFromJavaHome
+
+set JAVA_EXE=java.exe
+%JAVA_EXE% -version >NUL 2>&1
+if %ERRORLEVEL% equ 0 goto execute
+
+echo. 1>&2
+echo ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH. 1>&2
+echo. 1>&2
+echo Please set the JAVA_HOME variable in your environment to match the 1>&2
+echo location of your Java installation. 1>&2
+
+goto fail
+
+:findJavaFromJavaHome
+set JAVA_HOME=%JAVA_HOME:"=%
+set JAVA_EXE=%JAVA_HOME%/bin/java.exe
+
+if exist "%JAVA_EXE%" goto execute
+
+echo. 1>&2
+echo ERROR: JAVA_HOME is set to an invalid directory: %JAVA_HOME% 1>&2
+echo. 1>&2
+echo Please set the JAVA_HOME variable in your environment to match the 1>&2
+echo location of your Java installation. 1>&2
+
+goto fail
+
+:execute
+@rem Setup the command line
+
+set CLASSPATH=%APP_HOME%\gradle\wrapper\gradle-wrapper.jar
+
+
+@rem Execute Gradle
+"%JAVA_EXE%" %DEFAULT_JVM_OPTS% %JAVA_OPTS% %GRADLE_OPTS% "-Dorg.gradle.appname=%APP_BASE_NAME%" -classpath "%CLASSPATH%" org.gradle.wrapper.GradleWrapperMain %*
+
+:end
+@rem End local scope for the variables with windows NT shell
+if %ERRORLEVEL% equ 0 goto mainEnd
+
+:fail
+rem Set variable GRADLE_EXIT_CONSOLE if you need the _script_ return code instead of
+rem the _cmd.exe /c_ return code!
+set EXIT_CODE=%ERRORLEVEL%
+if %EXIT_CODE% equ 0 set EXIT_CODE=1
+if not ""=="%GRADLE_EXIT_CONSOLE%" exit %EXIT_CODE%
+exit /b %EXIT_CODE%
+
+:mainEnd
+if "%OS%"=="Windows_NT" endlocal
+
+:omega

settings.gradle.kts

@@ -0,0 +1,14 @@
+/*
+ * This file was generated by the Gradle 'init' task.
+ *
+ * The settings file is used to specify which projects to include in your build.
+ * For more detailed information on multi-project builds, please refer to https://docs.gradle.org/8.13/userguide/multi_project_builds.html in the Gradle documentation.
+ */
+
+plugins {
+    // Apply the foojay-resolver plugin to allow automatic download of JDKs
+    id("org.gradle.toolchains.foojay-resolver-convention") version "0.9.0"
+}
+
+rootProject.name = "lab1"
+include("app")