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64 changes: 64 additions & 0 deletions BookAllocation.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,64 @@
#include<bits/stdc++.h>
using namespace std;

bool isPossible(vector<int>& arr, int n , int m , int mid)
{
int studentCount = 1;
int pageSum = 0;
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];
}
}
return true;
}

int bookAllot(vector<int>& arr, int n , int m)
{
int sum =0;
int start = 0;
for (int i = 0; i < n ; i++)
{
sum += arr[i];
}
int end = sum;
int mid = start + (end - start)/2;
int ans = -1;
while(start <= end){
if(isPossible(arr ,n ,m , mid))
{
ans = mid;
end = mid-1;
}
else{
start = mid + 1;
}
mid = start + (end - start)/2;
}
return ans;
}

int main()
{
int n , m;
cin >> n >> m;
vector<int> arr;
for (int i = 0; i < n ; i++)
{
int e;
cin >> e;
arr.push_back(e);
}
int ans = bookAllot(arr , n , m);
cout << ans << endl;
}