From b167589350d9e5758a36c834b51a0a23b3127c97 Mon Sep 17 00:00:00 2001
From: Divyansh Singh <divyansh301@gmail.com>
Date: Thu, 29 Jun 2023 00:46:56 -0500
Subject: [PATCH 1/3] Activity Selection Greedy

---
 .DS_Store                     | Bin 10244 -> 10244 bytes
 Greedy/activitySelection.java |  40 ++++++++++++++++++++++++++++++++++
 2 files changed, 40 insertions(+)
 create mode 100644 Greedy/activitySelection.java

diff --git a/.DS_Store b/.DS_Store
index e8fab9431267293315553dba5c560fab5de76612..1ea8cf4bef7332581ee963eb357dcafad268c3c9 100644
GIT binary patch
delta 169
zcmZn(XbIS$FIdmU;LcFQkP3t;43#<QhQZ1CxdjXefFhrp@8Xh_lb-~X=2)ri`8PrB
xs3VY#rY41;nt}|NJ!}x0CI<+LY<3WAXWv+|gKaar!Y`J|!6L$&dqh4k0RS?XDewRQ

delta 233
zcmZn(XbIS$FF2W5NO1EB!FKj~euh$pJcbg6Od!r-NM%T2P+&-7$Op1hfV`rdbi?4}
z{M-Tt1R$UzH{Zo2DJMS(sDb18{Wp!LWsW)m**J8$!7R$nPa#1YOjkh$#CaPFtJyZQ
REBs=a951TAd4uR3CIHQ-JO=;(

diff --git a/Greedy/activitySelection.java b/Greedy/activitySelection.java
new file mode 100644
index 0000000..eb705ca
--- /dev/null
+++ b/Greedy/activitySelection.java
@@ -0,0 +1,40 @@
+package Greedy;
+import java.util.*;
+public class activitySelection {
+    public static void main(String[] args) { //o(nlogn)
+        int[] start = {1, 3, 0, 5, 8, 5};
+        int[] end = {2, 4, 6, 7, 9, 9}; //already sorted based on end time
+
+        //IF SORTING BASED ON END
+        //using comparators
+        int[][] sortingEnding = new int[start.length][3];
+        for(int i=0; i<start.length; i++)
+        {
+            sortingEnding[i][0] = i;
+            sortingEnding[i][1]=start[i];
+            sortingEnding[i][2]=end[i];
+        }
+        Arrays.sort(sortingEnding, Comparator.comparingDouble(o -> o[2]));
+        //
+
+        //intitializing the variabes
+        int maxAct = 0;
+        ArrayList<Integer> ar =new ArrayList<>();
+
+        //add activity 1 anyways
+        maxAct =1;
+        ar.add(sortingEnding[0][0]);
+        int lastEnd = sortingEnding[0][2];
+        for(int i =1; i<end.length; i++)
+        {
+            if(lastEnd<=sortingEnding[i][1])
+            {
+                ar.add(sortingEnding[i][0]); //add the index of the element that was added
+                maxAct++; //increment the maxAct
+                lastEnd=sortingEnding[i][2]; //update the end[]i
+            }
+        }
+        System.out.println(maxAct);
+        System.out.println(ar);
+    }
+}

From 8c7f3723d15cda1a58b88f4bf4d036aa35d122e8 Mon Sep 17 00:00:00 2001
From: Divyansh Singh <divyansh301@gmail.com>
Date: Thu, 29 Jun 2023 21:42:52 -0500
Subject: [PATCH 2/3] More Problems on Greedy

---
 Greedy/fractionalKnapsack.java | 40 ++++++++++++++++++++++++++++++++++
 Greedy/indianCoins.java        | 27 +++++++++++++++++++++++
 2 files changed, 67 insertions(+)
 create mode 100644 Greedy/fractionalKnapsack.java
 create mode 100644 Greedy/indianCoins.java

diff --git a/Greedy/fractionalKnapsack.java b/Greedy/fractionalKnapsack.java
new file mode 100644
index 0000000..8d12169
--- /dev/null
+++ b/Greedy/fractionalKnapsack.java
@@ -0,0 +1,40 @@
+package Greedy;
+
+import java.util.*;
+
+
+public class fractionalKnapsack {
+    public static int knapsack(int[] value, int[] weight, int target)
+    {
+        int maxVal = 0;
+        double[][] ratio = new double[value.length][2]; //storing index and ratio of each value/weight
+        for(int i=0; i<value.length; i++)
+        {
+            ratio[i][0] = i;
+            ratio[i][1] = value[i]/(double)weight[i];
+        }
+        Arrays.sort(ratio, Comparator.comparingDouble(o -> o[1])); //sort based on ratios - Higher the ratio better value it will get for its weight
+        for(int i=ratio.length-1; i>=0; i--) //we want in decreaseing order 6,5,4 etc, coz higher ration values go in first as they will yield the max value for its weight
+        {
+            if(weight[(int)ratio[i][0]]<=target) //if the weight at that index is <=target
+            {
+                maxVal += value[(int)ratio[i][0]]; //increement value
+                target -= weight[(int)ratio[i][0]]; //reduce the weight added
+            }
+            else
+            {
+                maxVal += ratio[i][1]*target; //muliply ratio * weight to get value
+                    //if target is 0 then nothing will be added to max val after multiplication
+                break; //break coz the target is met
+            }
+        }
+        return maxVal;
+    }
+    public static void main(String[] args) {
+        int[] value = {60, 100, 120};
+        int[] weight = {10, 20, 30};
+        int target = 50;
+        int max = knapsack(value, weight, target);
+        System.out.println(max);
+    }
+}
diff --git a/Greedy/indianCoins.java b/Greedy/indianCoins.java
new file mode 100644
index 0000000..8f07d9c
--- /dev/null
+++ b/Greedy/indianCoins.java
@@ -0,0 +1,27 @@
+package Greedy;
+import java.util.*;
+public class indianCoins {
+    public static int coinChange(Integer[] coins, int target)
+    {
+        int minChange = 0;
+        Arrays.sort(coins, Comparator.reverseOrder());
+        for(int i=0; i<coins.length; i++)
+        {
+            if(coins[i]<=target)
+            {
+                while(coins[i]<=target)
+                {
+                    minChange++;
+                    target -= coins[i];
+                }
+            }
+        }
+        return minChange;
+    }
+    public static void main(String[] args) {
+        Integer[] coins = {1,2,5,10,20,50,100,500,2000};
+        int target = 590; //500+50+20+20
+        int target1 = 121; //100+20+1
+        System.out.println("Minimum number of change is "+coinChange(coins, target));
+    }
+}

From 2b0e5560bd47e47219ce38423a3323308dd6f73d Mon Sep 17 00:00:00 2001
From: Divyansh Singh <divyansh301@gmail.com>
Date: Sun, 2 Jul 2023 18:44:08 -0500
Subject: [PATCH 3/3] greedy theory done

---
 Greedy/chocola.java     | 51 +++++++++++++++++++++++++++++++++++++++++
 Greedy/jobSequence.java | 44 +++++++++++++++++++++++++++++++++++
 2 files changed, 95 insertions(+)
 create mode 100644 Greedy/chocola.java
 create mode 100644 Greedy/jobSequence.java

diff --git a/Greedy/chocola.java b/Greedy/chocola.java
new file mode 100644
index 0000000..c3d070f
--- /dev/null
+++ b/Greedy/chocola.java
@@ -0,0 +1,51 @@
+package Greedy;
+import java.util.*;
+public class chocola {
+    public static void breakDown(int n, int m, Integer costVer[], Integer costHori[])
+    {
+        //sort them in descending order
+        Arrays.sort(costVer, Collections.reverseOrder());
+        Arrays.sort(costHori, Collections.reverseOrder());
+
+        int h = 0, v=0; //vertical and horizontal pointers that will work on costVer and costHori
+        int hp = 1, vp = 1; //vertical and horizontal pieces checker
+        int cost=0;
+        //compare horizonatal and vertical until they reach the length till they can be compared
+        while(h<costHori.length && v<costVer.length)
+        {
+            if(costVer[v]>costHori[h]) //vertical cut
+            {
+                cost += costVer[v] * hp;//number of hori pieces * cost of that vert peice
+                vp++;//number of vertpieces increases
+                v++;// incremeneting the vert pointer to point to the next cost
+            }
+            else//horizontalcut
+            {
+                cost += costHori[h] * vp; //number of vertical pieces * cost of that hori peice
+                hp++; //number of horipieces increases
+                h++; // incremeneting the hori pointer to point to the next cost
+            }
+        }
+        //remaining vertical cost adding
+        while(v<costVer.length)
+        {
+            cost += costVer[v] * hp;
+            vp++;
+            v++;
+        }
+        //remaining horizontal cost adding
+        while(h<costHori.length)
+        {
+            cost += costHori[h] * vp;
+            hp++;
+            h++;
+        }
+        System.out.println("The minimum cost is "+ cost);
+    }
+    public static void main(String[] args) {
+        int n=4; int m=6;
+        Integer costVer[] = {2, 1, 3, 1, 4};
+        Integer costHori[] = {4, 1, 2};
+        breakDown(n, m, costVer, costHori);
+    }
+}
diff --git a/Greedy/jobSequence.java b/Greedy/jobSequence.java
new file mode 100644
index 0000000..2f76a56
--- /dev/null
+++ b/Greedy/jobSequence.java
@@ -0,0 +1,44 @@
+package Greedy;
+import java.util.*;
+public class jobSequence {
+    public static class jobs
+    {
+        int timePeriod;
+        int profit;
+        int id; //job id which will be shown later
+
+        public jobs(int i, int p, int id)
+        {
+            this.timePeriod=i;
+            this.profit=p;
+            this.id = id;
+        }
+    }
+    public static void main(String[] args) {
+        int[][] jobsInfo = {{1,40}, {1,30}, {4,20}, {1,10}};
+        ArrayList<jobs> arr = new ArrayList<>();
+
+        for(int i=0; i<jobsInfo.length; i++)
+        {
+            arr.add(new jobs(jobsInfo[i][0], jobsInfo[i][1], i));
+        }
+        //Collections.sort(arr, (obj1, obj2) -> obj1.profit-obj2.profit); //ascending order
+        Collections.sort(arr, (obj1, obj2) -> obj2.profit-obj1.profit); //descending order
+        ArrayList<Integer> ans  = new ArrayList<>();
+        int time = 0;
+        for(int i=0; i<arr.size(); i++)
+        {
+            if(arr.get(i).timePeriod>time)
+            {
+                ans.add(arr.get(i).id);
+                time++;
+            }
+        }
+        System.out.println("size is"+ ans.size());
+        System.out.println("Job sequence is: ");
+        for(int i=0; i<ans.size(); i++)
+        {
+            System.out.println(ans.get(i));
+        }
+    }
+}