From 61a26ff0fac7320fe79261e4af0e744e984cebb3 Mon Sep 17 00:00:00 2001
From: Padmesh Sharma <100578426+PadmeshSharma@users.noreply.github.com>
Date: Sat, 21 Oct 2023 20:29:02 +0530
Subject: [PATCH] Create Book Allocation Problem.cpp

---
 C++/Book Allocation Problem.cpp | 54 +++++++++++++++++++++++++++++++++
 1 file changed, 54 insertions(+)
 create mode 100644 C++/Book Allocation Problem.cpp

diff --git a/C++/Book Allocation Problem.cpp b/C++/Book Allocation Problem.cpp
new file mode 100644
index 0000000..559a3fe
--- /dev/null
+++ b/C++/Book Allocation Problem.cpp	
@@ -0,0 +1,54 @@
+#include<vector>
+using namespace std;
+
+bool isPossible(vector<int> arr, int n, int m, int mid) {
+    int studentCount = 1;
+    int pageSum = 0;
+    //cout << "checking for mid "<< mid <<endl;
+    
+    for(int i = 0; i<n; i++) {
+        if(pageSum + arr[i] <= mid) {
+            pageSum += arr[i];
+        }
+        else
+        {
+            studentCount++;
+            if(studentCount > m || arr[i] > mid ) {
+            return false;
+        }
+            pageSum = arr[i];
+        }
+        if(studentCount > m) {
+            return false;
+        }
+        //cout << " for i " << i << " Student "<< studentCount << " pageSum " << pageSum << endl;
+    }
+    return true;
+}
+
+int allocateBooks(vector<int> arr, int n, int m) {
+    int s = 0;
+    int sum = 0;
+    
+    for(int i = 0; i<n; i++) {
+        sum += arr[i];
+    }
+    int e = sum;
+    int ans = -1;
+    int mid = s + (e-s)/2;
+    
+    while(s<=e)
+    {
+        if(isPossible(arr,n,m,mid)) {
+            //cout<<" Mid returned TRUE" << endl;
+            ans = mid;
+            e = mid - 1;
+        }
+        else
+        {
+            s = mid + 1;
+        }
+        mid = s + (e-s)/2;
+    }
+    return ans;
+}