**Tower Breakers**

### Problem Statement :

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 . 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 Returns 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 .

### Solution :

` ````
Solution in C :
In C :
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>
long int cnt(long int a,int k)
{
if(k*k>a)
return a!=1;
return a%k?cnt(a,k+1):1+cnt(a/k,k+1);
}
int main() {
int t;
long int n,m,s;
char a[2]={'2','1'};
scanf("%d",&t);
while(t--)
{
s=0;
scanf("%ld%ld",&n,&m);
while(m%4==0)
m/=2;
if(n%2==0)
s=0;
else
s^=cnt(m,2);
printf("%c\n",a[!!s]);
}
return 0;
}
```

` ````
Solution in C++ :
In C++ :
#include <bits/stdc++.h>
typedef long long ll;
typedef unsigned long long ull;
using namespace std;
int main()
{
long nTest,n,m;
scanf("%ld",&nTest);
while (nTest--)
{
scanf("%ld%ld",&n,&m);
if (m==1) puts("2");
else puts((n&1)?"1":"2");
}
}
```

` ````
Solution in Java :
In Java :
import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
public class Solution {
private static int numPrimeFactors(int n) {
int answer = 0;
for (int i=2; i<=n; i++) {
if (n%i == 0) {
answer++;
n /= i;
i = 1;
}
}
return answer;
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int T = sc.nextInt();
for (int t=0; t<T; t++) {
int n = sc.nextInt();
int m = sc.nextInt();
if (m == 1) {
System.out.println(2);
continue;
}
if (n%2 == 0) {
System.out.println(2);
} else {
System.out.println(1);
}
}
}
}
```

` ````
Solution in Python :
In Python3 :
test = int(input())
for _ in range(test):
n,m = map(int,input().strip().split())
if m==1:
print(2)
else:
if n%2==1:
print(1)
else:
print(2)
```

## View More Similar Problems

## Is This a Binary Search Tree?

For the purposes of this challenge, we define a binary tree to be a binary search tree with the following ordering requirements: The data value of every node in a node's left subtree is less than the data value of that node. The data value of every node in a node's right subtree is greater than the data value of that node. Given the root node of a binary tree, can you determine if it's also a

View Solution →## Square-Ten Tree

The square-ten tree decomposition of an array is defined as follows: The lowest () level of the square-ten tree consists of single array elements in their natural order. The level (starting from ) of the square-ten tree consists of subsequent array subsegments of length in their natural order. Thus, the level contains subsegments of length , the level contains subsegments of length , the

View Solution →## Balanced Forest

Greg has a tree of nodes containing integer data. He wants to insert a node with some non-zero integer value somewhere into the tree. His goal is to be able to cut two edges and have the values of each of the three new trees sum to the same amount. This is called a balanced forest. Being frugal, the data value he inserts should be minimal. Determine the minimal amount that a new node can have to a

View Solution →## Jenny's Subtrees

Jenny loves experimenting with trees. Her favorite tree has n nodes connected by n - 1 edges, and each edge is ` unit in length. She wants to cut a subtree (i.e., a connected part of the original tree) of radius r from this tree by performing the following two steps: 1. Choose a node, x , from the tree. 2. Cut a subtree consisting of all nodes which are not further than r units from node x .

View Solution →## Tree Coordinates

We consider metric space to be a pair, , where is a set and such that the following conditions hold: where is the distance between points and . Let's define the product of two metric spaces, , to be such that: , where , . So, it follows logically that is also a metric space. We then define squared metric space, , to be the product of a metric space multiplied with itself: . For

View Solution →## Array Pairs

Consider an array of n integers, A = [ a1, a2, . . . . an] . Find and print the total number of (i , j) pairs such that ai * aj <= max(ai, ai+1, . . . aj) where i < j. Input Format The first line contains an integer, n , denoting the number of elements in the array. The second line consists of n space-separated integers describing the respective values of a1, a2 , . . . an .

View Solution →