Degree of Polynomial: DPOLY

Degree of Polynomial CodeChef Solution

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In mathematics, the degree of polynomials in one variable is the highest power of the variable in the algebraic expression with non-zero coefficient.

Chef has a polynomial in one variable xx with NN terms. The polynomial looks like A0⋅x0+A1⋅x1+…+AN−2⋅xN−2+AN−1⋅xN−1A0⋅x0+A1⋅x1+…+AN−2⋅xN−2+AN−1⋅xN−1 where Ai−1Ai−1 denotes the coefficient of the ithith term xi−1xi−1 for all (1≤i≤N)(1≤i≤N).

Find the degree of the polynomial.

Note: It is guaranteed that there exists at least one term with non-zero coefficient.

Input Format

• First line will contain TT, number of test cases. Then the test cases follow.
• First line of each test case contains of a single integer NN – the number of terms in the polynomial.
• Second line of each test case contains of NN space-separated integers – the ithith integer Ai−1Ai−1 corresponds to the coefficient of xi−1xi−1.

Output Format

For each test case, output in a single line, the degree of the polynomial.

Constraints

• 1≤T≤1001≤T≤100
• 1≤N≤10001≤N≤1000
• −1000≤Ai≤1000−1000≤Ai≤1000
• Ai≠0Ai≠0 for at least one (0≤i<N)(0≤i<N).

Sample Input 1 

4
1
5
2
-3 3
3
0 0 5
4
1 2 4 0

Sample Output 1 

0
1
2
2

Explanation

Test case 11: There is only one term x0x0 with coefficient 55. Thus, we are given a constant polynomial and the degree is 00.

Test case 22: The polynomial is −3⋅x0+3⋅x1=−3+3⋅x−3⋅x0+3⋅x1=−3+3⋅x. Thus, the highest power of xx with non-zero coefficient is 11.

Test case 33: The polynomial is 0⋅x0+0⋅x1+5⋅x2=0+0+5⋅x20⋅x0+0⋅x1+5⋅x2=0+0+5⋅x2. Thus, the highest power of xx with non-zero coefficient is 22.

Test case 44: The polynomial is 1⋅x0+2⋅x1+4⋅x2+0⋅x3=1+2⋅x+4⋅x21⋅x0+2⋅x1+4⋅x2+0⋅x3=1+2⋅x+4⋅x2. Thus, the highest power of xx with non-zero coefficient is 22.

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Degree of Polynomial CodeChef Solution in JAVA

/* package codechef; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
class Codechef
{
	public static void main (String[] args) throws java.lang.Exception
	{
		// your code goes here
		Scanner sc=new Scanner(System.in);
		int t=sc.nextInt();
		while(t>0)
		{
		    int n=sc.nextInt();
		    int a[]=new int[n];
		    for(int i=0;i< n;i++){
		        a[i]=sc.nextInt();
		    }
		    int max=0;
		    for(int i=0;i< n;i++)
		    {
		        if(a[i]!=0)
		        {
		            max=i;
		        }
		    }
		    System.out.println(max);
		    t--;
		}
	}
}

Degree of Polynomial CodeChef Solution in C++ 17

int main() {
	int t;
	cin>>t;
	while(t--){
	    int n,ans;
	    cin>>n;
	    int a[n];
	    for(int i=0;i< n;i++){
	        cin>>a[i];
	        if(a[i]!=0) ans=i;
	    }
	    cout<< ans<< endl;
	}
	return 0;
} 

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