Milestone 4 by Shrishti Raizada

Milestone4_Q1.cpp

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+/* Shrishti Raizada
+   Milestone 4
+   Q1
+*/
+
+#include <bits/stdc++.h>
+
+using namespace std;
+
+// A utility function that returns
+// maximum of two integers
+
+int max(int a, int b) { return (a > b) ? a : b; }
+
+// Returns the maximum value that
+// can be put in a knapsack of capacity W
+
+int knapSack(int W, int wt[], int val[], int n)
+{
+
+
+    // Base Case
+
+    if (n == 0 || W == 0)
+
+        return 0;
+
+
+    // If weight of the nth item is more
+
+    // than Knapsack capacity W, then
+
+    // this item cannot be included
+
+    // in the optimal solution
+
+    if (wt[n - 1] > W)
+
+        return knapSack(W, wt, val, n - 1);
+
+
+    // Return the maximum of two cases:
+
+    // (1) nth item included
+
+    // (2) not included
+
+    else
+
+        return max(
+
+            val[n - 1]
+
+                + knapSack(W - wt[n - 1], 
+
+                           wt, val, n - 1),
+
+            knapSack(W, wt, val, n - 1));
+}
+
+// Driver code
+
+int main()
+{
+
+    int val[] = { 60, 100, 120 };
+
+    int wt[] = { 10, 20, 30 };
+
+    int W = 50;
+
+    int n = sizeof(val) / sizeof(val[0]);
+
+    cout << knapSack(W, wt, val, n);
+
+    return 0;
+}
+

Milestone4_Q2.cpp

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+/* Shrishti Raizada
+   Milestone 4
+   Q2
+*/
+
+#include <bits/stdc++.h> 
+
+using namespace std; 
+
+
+// Prints a maximum set of activities that can be done by a single 
+// person, one at a time. 
+//  n   -->  Total number of activities 
+//  s[] -->  An array that contains start time of all activities 
+//  f[] -->  An array that contains finish time of all activities 
+
+void printMaxActivities(int s[], int f[], int n) 
+{ 
+
+    int i, j; 
+
+
+
+    cout <<"Following activities are selected "<< endl; 
+
+
+
+    // The first activity always gets selected 
+
+    i = 0; 
+
+    cout <<" "<< i; 
+
+
+
+    // Consider rest of the activities 
+
+    for (j = 1; j < n; j++) 
+
+    { 
+
+      // If this activity has start time greater than or 
+
+      // equal to the finish time of previously selected 
+
+      // activity, then select it 
+
+      if (s[j] >= f[i]) 
+
+      { 
+
+          cout <<" " << j; 
+
+          i = j; 
+
+      } 
+
+    } 
+} 
+
+
+// driver program to test above function 
+
+int main() 
+{ 
+
+    int s[] =  {1, 3, 0, 5, 8, 5}; 
+
+    int f[] =  {2, 4, 6, 7, 9, 9}; 
+
+    int n = sizeof(s)/sizeof(s[0]); 
+
+    printMaxActivities(s, f, n); 
+
+    return 0; 
+} 

Milestone4_Q3.cpp

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+/* Shrishti Raizada
+   Milestone 4
+   Q3
+*/
+
+#include<iostream>
+#include<algorithm>
+using namespace std;
+
+// A structure to represent a job
+struct Job
+{
+char id;	 // Job Id
+int dead; // Deadline of job
+int profit; // Profit if job is over before or on deadline
+};
+
+// This function is used for sorting all jobs according to profit
+bool comparison(Job a, Job b)
+{
+	return (a.profit > b.profit);
+}
+
+// Returns minimum number of platforms required
+void printJobScheduling(Job arr[], int n)
+{
+	// Sort all jobs according to decreasing order of profit
+	sort(arr, arr+n, comparison);
+
+	int result[n]; // To store result (Sequence of jobs)
+	bool slot[n]; // To keep track of free time slots
+
+	// Initialize all slots to be free
+	for (int i=0; i<n; i++)
+		slot[i] = false;
+
+	// Iterate through all given jobs
+	for (int i=0; i<n; i++)
+	{
+	// Find a free slot for this job (Note that we start
+	// from the last possible slot)
+	for (int j=min(n, arr[i].dead)-1; j>=0; j--)
+	{
+		// Free slot found
+		if (slot[j]==false)
+		{
+			result[j] = i; // Add this job to result
+			slot[j] = true; // Make this slot occupied
+			break;
+		}
+	}
+	}
+
+	// Print the result
+	for (int i=0; i<n; i++)
+	if (slot[i])
+		cout << arr[result[i]].id << " ";
+}
+
+// Driver code
+int main()
+{
+	Job arr[] = { {'a', 2, 100}, {'b', 1, 19}, {'c', 2, 27},
+				{'d', 1, 25}, {'e', 3, 15}};
+	int n = sizeof(arr)/sizeof(arr[0]);
+	cout << "Following is maximum profit sequence of jobs \n";
+
+	// Function call
+	printJobScheduling(arr, n);
+	return 0;
+}

Milestone4_Q4.cpp

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+/* Shrishti Raizada
+   Milestone 4
+   Q4
+*/
+
+#include <iostream>
+using namespace std;
+
+int maxArea(int A[], int len)
+{
+	int area = 0;
+	for (int i = 0; i < len; i++) {
+		for (int j = i + 1; j < len; j++) {
+			// Calculating the max area
+			area = max(area, min(A[j], A[i]) * (j - i));
+		}
+	}
+	return area;
+}
+
+// Driver code
+int main()
+{
+	int a[] = { 1, 5, 4, 3 };
+	int b[] = { 3, 1, 2, 4, 5 };
+
+	int len1 = sizeof(a) / sizeof(a[0]);
+	cout << maxArea(a, len1);
+
+	int len2 = sizeof(b) / sizeof(b[0]);
+	cout << endl << maxArea(b, len2);
+}