There is 207 boxes on the table which numbered 1,2,…,207 respectively. Firstly Aslı puts a red ball in each of the 100 boxes that she chooses and puts a white ball in each of the remaining ones. After that Zehra, writes a pair (i,j) on the blackboard such that 1≤i≤j≤207. Finally, Aslı tells Zehra that for every pair; whether the color of the balls which is inside the box which numbered by these numbers are the same or not. Find the least possible value of N such that Zehra can guarantee finding all colors that has been painted to balls in each of the boxes with writing N pairs on the blackboard. combinatoricsgame strategy