Tower Breakers HackerRank Solution

Tower Breakers HackerRank Solution
Tower Breakers HackerRank Solution

In this Tower Breakers HackerRank solution, Two players are playing a game of Tower Breakers! Player  always moves first, and both players always play optimally.The rules of the game are as follows:

  • Initially there are  towers.
  • Each tower is of height .
  • The players move in alternating turns.
  • In each turn, a player can choose a tower of height  and reduce its height to , where  and  evenly divides .
  • If the current player is unable to make a move, they lose the game.

Given the values of  and , determine which player will win. If the first player wins, return . Otherwise, return .


There are  towers, each  units tall. Player  has a choice of two moves:
– remove  pieces from a tower to leave  as 
– remove  pieces to leave 

Let Player  remove . Now the towers are  and  units tall.

Player  matches the move. Now the towers are both  units tall.

Now Player  has only one move.

Player  removes  pieces leaving . Towers are  and  units tall.
Player  matches again. Towers are both  unit tall.

Player  has no move and loses. Return .

Function Description

Complete the towerBreakers function in the editor below.

towerBreakers has the following paramter(s):

  • int n: the number of towers
  • int m: the height of each tower


  • int: the winner of the game

Input Format

The first line contains a single integer , the number of test cases.
Each of the next  lines describes a test case in the form of  space-separated integers,  and .


Sample Input

STDIN   Function
-----   --------
2       t = 2
2 2     n = 2, m = 2
1 4     n = 1, m = 4

Sample Output



We’ll refer to player  as  and player  as 

In the first test case,  chooses one of the two towers and reduces it to . Then  reduces the remaining tower to a height of . As both towers now have height ,  cannot make a move so  is the winner.

In the second test case, there is only one tower of height .  can reduce it to a height of either  or .  chooses  as both players always choose optimally. Because  has no possible move,  wins.

Tower Breakers HackerRank Solution

I will Provide solution in Multiple programming languages for you. If you are not able to find the code in required language then please share in comments so that our team can help you.

Problem Solution in Java

public static int towerBreakers(int n, int m) {
    // Write your code here
        int player1 = 1, player2 = 2;
        if(m==1) return player2;
        if(n==1) return player1;
        if(n%2==0) {
            return player2;
        } else {
            return player1;

Problem Solution in C#

public static int towerBreakers(int n, int m)
        if (m == 1)
            return 2;
        if(n%2 == 0)
            return 2;
            return 1;

Problem Solution in JavaScript

function towerBreakers(n, m) {
        return 2;
        return 2;
        return 1;
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