diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..2677823 --- /dev/null +++ b/.gitignore @@ -0,0 +1,152 @@ + +# Created by https://www.toptal.com/developers/gitignore/api/java,gradle,intellij +# Edit at https://www.toptal.com/developers/gitignore?templates=java,gradle,intellij + +### Intellij ### +# Covers JetBrains IDEs: IntelliJ, RubyMine, PhpStorm, AppCode, PyCharm, CLion, Android Studio, WebStorm and Rider +# Reference: https://intellij-support.jetbrains.com/hc/en-us/articles/206544839 + +# User-specific stuff +.idea/**/workspace.xml +.idea/**/tasks.xml +.idea/**/usage.statistics.xml +.idea/**/dictionaries +.idea/**/shelf + +# Generated files +.idea/**/contentModel.xml + +# Sensitive or high-churn files +.idea/**/dataSources/ +.idea/**/dataSources.ids +.idea/**/dataSources.local.xml +.idea/**/sqlDataSources.xml +.idea/**/dynamic.xml +.idea/**/uiDesigner.xml +.idea/**/dbnavigator.xml + +# Gradle +.idea/**/gradle.xml +.idea/**/libraries + +# Gradle and Maven with auto-import +# When using Gradle or Maven with auto-import, you should exclude module files, +# since they will be recreated, and may cause churn. Uncomment if using +# auto-import. +# .idea/artifacts +# .idea/compiler.xml +# .idea/jarRepositories.xml +# .idea/modules.xml +# .idea/*.iml +# .idea/modules +# *.iml +# *.ipr + +# CMake +cmake-build-*/ + +# Mongo Explorer plugin +.idea/**/mongoSettings.xml + +# File-based project format +*.iws + +# IntelliJ +out/ + +# mpeltonen/sbt-idea plugin +.idea_modules/ + +# JIRA plugin +atlassian-ide-plugin.xml + +# Cursive Clojure plugin +.idea/replstate.xml + +# Crashlytics plugin (for Android Studio and IntelliJ) +com_crashlytics_export_strings.xml +crashlytics.properties +crashlytics-build.properties +fabric.properties + +# Editor-based Rest Client +.idea/httpRequests + +# Android studio 3.1+ serialized cache file +.idea/caches/build_file_checksums.ser + +### Intellij Patch ### +# Comment Reason: https://github.com/joeblau/gitignore.io/issues/186#issuecomment-215987721 + +# *.iml +# modules.xml +# .idea/misc.xml +# *.ipr + +# Sonarlint plugin +# https://plugins.jetbrains.com/plugin/7973-sonarlint +.idea/**/sonarlint/ + +# SonarQube Plugin +# https://plugins.jetbrains.com/plugin/7238-sonarqube-community-plugin +.idea/**/sonarIssues.xml + +# Markdown Navigator plugin +# https://plugins.jetbrains.com/plugin/7896-markdown-navigator-enhanced +.idea/**/markdown-navigator.xml +.idea/**/markdown-navigator-enh.xml +.idea/**/markdown-navigator/ + +# Cache file creation bug +# See https://youtrack.jetbrains.com/issue/JBR-2257 +.idea/$CACHE_FILE$ + +# CodeStream plugin +# https://plugins.jetbrains.com/plugin/12206-codestream +.idea/codestream.xml + +### Java ### +# Compiled class file +*.class + +# Log file +*.log + +# BlueJ files +*.ctxt + +# Mobile Tools for Java (J2ME) +.mtj.tmp/ + +# Package Files # +*.jar +*.war +*.nar +*.ear +*.zip +*.tar.gz +*.rar + +# virtual machine crash logs, see http://www.java.com/en/download/help/error_hotspot.xml +hs_err_pid* + +### Gradle ### +.gradle +build/ + +# Ignore Gradle GUI config +gradle-app.setting + +# Avoid ignoring Gradle wrapper jar file (.jar files are usually ignored) +!gradle-wrapper.jar + +# Cache of project +.gradletasknamecache + +# # Work around https://youtrack.jetbrains.com/issue/IDEA-116898 +# gradle/wrapper/gradle-wrapper.properties + +### Gradle Patch ### +**/build/ + +# End of https://www.toptal.com/developers/gitignore/api/java,gradle,intellij diff --git a/build.gradle b/build.gradle new file mode 100644 index 0000000..95df5f5 --- /dev/null +++ b/build.gradle @@ -0,0 +1,14 @@ +plugins { + id 'java' +} + +group 'org.example' +version '1.0-SNAPSHOT' + +repositories { + mavenCentral() +} + +dependencies { + testCompile group: 'junit', name: 'junit', version: '4.12' +} diff --git a/gradle/wrapper/gradle-wrapper.jar b/gradle/wrapper/gradle-wrapper.jar new file mode 100644 index 0000000..f3d88b1 Binary files /dev/null and b/gradle/wrapper/gradle-wrapper.jar differ diff --git a/gradle/wrapper/gradle-wrapper.properties b/gradle/wrapper/gradle-wrapper.properties new file mode 100644 index 0000000..2d7f7fa --- /dev/null +++ b/gradle/wrapper/gradle-wrapper.properties @@ -0,0 +1,6 @@ +#Sat Oct 31 02:53:19 PDT 2020 +distributionUrl=https\://services.gradle.org/distributions/gradle-6.1-all.zip +distributionBase=GRADLE_USER_HOME +distributionPath=wrapper/dists +zipStorePath=wrapper/dists +zipStoreBase=GRADLE_USER_HOME diff --git a/gradlew b/gradlew new file mode 100755 index 0000000..2fe81a7 --- /dev/null +++ b/gradlew @@ -0,0 +1,183 @@ +#!/usr/bin/env sh + +# +# Copyright 2015 the original author or 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. +# + +############################################################################## +## +## Gradle start up script for UN*X +## +############################################################################## + +# Attempt to set APP_HOME +# Resolve links: $0 may be a link +PRG="$0" +# Need this for relative symlinks. +while [ -h "$PRG" ] ; do + ls=`ls -ld "$PRG"` + link=`expr "$ls" : '.*-> \(.*\)$'` + if expr "$link" : '/.*' > /dev/null; then + PRG="$link" + else + PRG=`dirname "$PRG"`"/$link" + fi +done +SAVED="`pwd`" +cd "`dirname \"$PRG\"`/" >/dev/null +APP_HOME="`pwd -P`" +cd "$SAVED" >/dev/null + +APP_NAME="Gradle" +APP_BASE_NAME=`basename "$0"` + +# Add default JVM options here. You can also use JAVA_OPTS and GRADLE_OPTS to pass JVM options to this script. +DEFAULT_JVM_OPTS='"-Xmx64m" "-Xms64m"' + +# Use the maximum available, or set MAX_FD != -1 to use that value. +MAX_FD="maximum" + +warn () { + echo "$*" +} + +die () { + echo + echo "$*" + echo + exit 1 +} + +# OS specific support (must be 'true' or 'false'). +cygwin=false +msys=false +darwin=false +nonstop=false +case "`uname`" in + CYGWIN* ) + cygwin=true + ;; + Darwin* ) + darwin=true + ;; + MINGW* ) + msys=true + ;; + NONSTOP* ) + nonstop=true + ;; +esac + +CLASSPATH=$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: $JAVA_HOME + +Please set the JAVA_HOME variable in your environment to match the +location of your Java installation." + fi +else + JAVACMD="java" + which java >/dev/null 2>&1 || die "ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH. + +Please set the JAVA_HOME variable in your environment to match the +location of your Java installation." +fi + +# Increase the maximum file descriptors if we can. +if [ "$cygwin" = "false" -a "$darwin" = "false" -a "$nonstop" = "false" ] ; then + MAX_FD_LIMIT=`ulimit -H -n` + if [ $? -eq 0 ] ; then + if [ "$MAX_FD" = "maximum" -o "$MAX_FD" = "max" ] ; then + MAX_FD="$MAX_FD_LIMIT" + fi + ulimit -n $MAX_FD + if [ $? -ne 0 ] ; then + warn "Could not set maximum file descriptor limit: $MAX_FD" + fi + else + warn "Could not query maximum file descriptor limit: $MAX_FD_LIMIT" + fi +fi + +# For Darwin, add options to specify how the application appears in the dock +if $darwin; then + GRADLE_OPTS="$GRADLE_OPTS \"-Xdock:name=$APP_NAME\" \"-Xdock:icon=$APP_HOME/media/gradle.icns\"" +fi + +# For Cygwin or MSYS, switch paths to Windows format before running java +if [ "$cygwin" = "true" -o "$msys" = "true" ] ; then + APP_HOME=`cygpath --path --mixed "$APP_HOME"` + CLASSPATH=`cygpath --path --mixed "$CLASSPATH"` + JAVACMD=`cygpath --unix "$JAVACMD"` + + # We build the pattern for arguments to be converted via cygpath + ROOTDIRSRAW=`find -L / -maxdepth 1 -mindepth 1 -type d 2>/dev/null` + SEP="" + for dir in $ROOTDIRSRAW ; do + ROOTDIRS="$ROOTDIRS$SEP$dir" + SEP="|" + done + OURCYGPATTERN="(^($ROOTDIRS))" + # Add a user-defined pattern to the cygpath arguments + if [ "$GRADLE_CYGPATTERN" != "" ] ; then + OURCYGPATTERN="$OURCYGPATTERN|($GRADLE_CYGPATTERN)" + fi + # Now convert the arguments - kludge to limit ourselves to /bin/sh + i=0 + for arg in "$@" ; do + CHECK=`echo "$arg"|egrep -c "$OURCYGPATTERN" -` + CHECK2=`echo "$arg"|egrep -c "^-"` ### Determine if an option + + if [ $CHECK -ne 0 ] && [ $CHECK2 -eq 0 ] ; then ### Added a condition + eval `echo args$i`=`cygpath --path --ignore --mixed "$arg"` + else + eval `echo args$i`="\"$arg\"" + fi + i=`expr $i + 1` + done + case $i in + 0) set -- ;; + 1) set -- "$args0" ;; + 2) set -- "$args0" "$args1" ;; + 3) set -- "$args0" "$args1" "$args2" ;; + 4) set -- "$args0" "$args1" "$args2" "$args3" ;; + 5) set -- "$args0" "$args1" "$args2" "$args3" "$args4" ;; + 6) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" ;; + 7) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" "$args6" ;; + 8) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" "$args6" "$args7" ;; + 9) set -- "$args0" "$args1" "$args2" "$args3" "$args4" "$args5" "$args6" "$args7" "$args8" ;; + esac +fi + +# Escape application args +save () { + for i do printf %s\\n "$i" | sed "s/'/'\\\\''/g;1s/^/'/;\$s/\$/' \\\\/" ; done + echo " " +} +APP_ARGS=`save "$@"` + +# Collect all arguments for the java command, following the shell quoting and substitution rules +eval set -- $DEFAULT_JVM_OPTS $JAVA_OPTS $GRADLE_OPTS "\"-Dorg.gradle.appname=$APP_BASE_NAME\"" -classpath "\"$CLASSPATH\"" org.gradle.wrapper.GradleWrapperMain "$APP_ARGS" + +exec "$JAVACMD" "$@" diff --git a/gradlew.bat b/gradlew.bat new file mode 100644 index 0000000..24467a1 --- /dev/null +++ b/gradlew.bat @@ -0,0 +1,100 @@ +@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 + +@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=. +set APP_BASE_NAME=%~n0 +set APP_HOME=%DIRNAME% + +@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%" == "0" goto init + +echo. +echo ERROR: JAVA_HOME is not set and no 'java' command could be found in your PATH. +echo. +echo Please set the JAVA_HOME variable in your environment to match the +echo location of your Java installation. + +goto fail + +:findJavaFromJavaHome +set JAVA_HOME=%JAVA_HOME:"=% +set JAVA_EXE=%JAVA_HOME%/bin/java.exe + +if exist "%JAVA_EXE%" goto init + +echo. +echo ERROR: JAVA_HOME is set to an invalid directory: %JAVA_HOME% +echo. +echo Please set the JAVA_HOME variable in your environment to match the +echo location of your Java installation. + +goto fail + +:init +@rem Get command-line arguments, handling Windows variants + +if not "%OS%" == "Windows_NT" goto win9xME_args + +:win9xME_args +@rem Slurp the command line arguments. +set CMD_LINE_ARGS= +set _SKIP=2 + +:win9xME_args_slurp +if "x%~1" == "x" goto execute + +set CMD_LINE_ARGS=%* + +: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 %CMD_LINE_ARGS% + +:end +@rem End local scope for the variables with windows NT shell +if "%ERRORLEVEL%"=="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! +if not "" == "%GRADLE_EXIT_CONSOLE%" exit 1 +exit /b 1 + +:mainEnd +if "%OS%"=="Windows_NT" endlocal + +:omega diff --git a/settings.gradle b/settings.gradle new file mode 100644 index 0000000..b6c33ac --- /dev/null +++ b/settings.gradle @@ -0,0 +1,2 @@ +rootProject.name = 'AdvancedDS' + diff --git a/src/main/java/com/bhole/advanced_ds/rmq/SegmentTree.java b/src/main/java/com/bhole/advanced_ds/rmq/SegmentTree.java new file mode 100644 index 0000000..3d82025 --- /dev/null +++ b/src/main/java/com/bhole/advanced_ds/rmq/SegmentTree.java @@ -0,0 +1,63 @@ +package com.bhole.advanced_ds.rmq; + +/* + Construct segment tree with TreeNode as storage and get the Range minimum query result in log(n), + store the range at node to speedup selection process. + Best Case : o(1) + Worst Case: log(n) + */ +public class SegmentTree { + + TreeNode root = null; + int input[]; + + public TreeNode build(int input[]) { + this.root = buildSegmentTree(input, 0, input.length-1); + this.input = input; + return this.root; + } + + private int getValue(TreeNode node) { + return (node == null? Integer.MAX_VALUE: node.value); + } + + private TreeNode buildSegmentTree(int input[], int low, int high) { + if (low < 0 || high >= input.length) return null; + TreeNode node = new TreeNode(); + if (low == high) { + node.value = input[low]; + return node; + } + int mid = (low+high)/2; + node.left = buildSegmentTree(input, low, mid); + node.right = buildSegmentTree(input, mid+1, high); + + node.value = Math.min(getValue(node.left), getValue(node.right)); + return node; + } + + + public int rangeMinimumQuery(int queryLow, int queryHigh) { + return rmq(this.root, Range.of(0, this.input.length-1), Range.of(queryLow, queryHigh)); + } + + private Integer rmq(TreeNode root , Range bounds, Range query) { + if (query == null || root == null) return Integer.MAX_VALUE; + // q: 2,3 + // b: 3,3 + // b: 2,2 + if (bounds.low == query.low && bounds.high <=query.high) { + return root.value; + } + if(query.high == bounds.high && query.low<= bounds.low) return root.value; + + if (bounds.includes(query)) { + int mid = bounds.getMid(); + Integer leftMin = rmq(root.left, Range.of(bounds.low, mid), query); + Integer rightMin = rmq(root.right, Range.of(mid+1,bounds.high), query); + return Math.min(leftMin, rightMin); + } + return Integer.MAX_VALUE; + } + +} diff --git a/src/main/java/com/bhole/advanced_ds/rmq/SparseTable.java b/src/main/java/com/bhole/advanced_ds/rmq/SparseTable.java new file mode 100644 index 0000000..82c2b88 --- /dev/null +++ b/src/main/java/com/bhole/advanced_ds/rmq/SparseTable.java @@ -0,0 +1,47 @@ +package com.bhole.advanced_ds.rmq; + +import java.util.Arrays; + +public class SparseTable { + int input[]; + int sparseTable[][]; + int cols; + + public void build(int input[]) { + this.input = input; + int cols = (int) Math.floor(Math.log(input.length)/Math.log(2))+1; + this.cols = cols; + this.sparseTable = new int[input.length][cols]; + for (int i=0; i=input.length || low>=input.length || low>high ) { + throw new IllegalArgumentException(String.format("Invalid index low high index low=%s,high=%s", low, high)); + } + int diff = high-low+1; + int j = (int) Math.floor(Math.log(diff)/Math.log(2)); + if (this.sparseTable[low][j] <= this.sparseTable[low + diff - (1<