Create PaintersPartition.cpp

Lecture015 Binary Search Advanced Problems/PaintersPartition.cpp

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+#include <bits/stdc++.h>
+using namespace std;
+
+bool isPossible(vector<int> &boards, int n, int k, int mid) {
+    int painterCount = 1;
+    int boardcount = 0;
+
+    for(int i = 0; i < n; i++)
+    {
+        if(boardcount + boards[i] <= mid)
+        {
+            boardcount += boards[i];
+        }
+        else
+        {
+            painterCount++;
+            if(painterCount > k || boards[i] > mid)
+            {
+                return false;
+            }
+            boardcount = boards[i]; //ensures that when a new painter is assigned board, they start with the count of the current board (boards[i]).
+        }
+    }
+    return true;
+}
+
+int findLargestMinDistance(vector<int> &boards, int k)
+{
+
+    // Initialize the binary search range
+    int s = 0;
+    int boardsum = 0;
+    int n= boards.size();
+
+    for(int i = 0; i < n; i++)
+    {
+        boardsum += boards[i];  // Total boardsum of all board
+    }
+
+    int e = boardsum;  // End point: boardsum of all board
+    int ans = -1;
+    int mid = s + (e - s) / 2;
+
+    // Binary search to find the minimum number of board
+    while(s <= e)
+    {
+        if(isPossible(boards, n, k, mid))
+        {
+            ans = mid;
+            e = mid - 1;  // Try for a smaller value
+        }
+        else
+        {
+            s = mid + 1;  // Try for a larger value
+        }
+        mid = s + (e - s) / 2;
+    }
+
+    return ans;
+}
+