Degree of Polynomial solution codechef

Degree of Polynomial solution codechef

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 A0x0+A1x1++AN2xN2+AN1xN1A0⋅x0+A1⋅x1+…+AN−2⋅xN−2+AN−1⋅xN−1 where Ai1Ai−1 denotes the coefficient of the ithith term xi1xi−1 for all (1iN)(1≤i≤N).

Find the degree of the polynomial.

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

Degree of Polynomial solution codechef

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 Ai1Ai−1 corresponds to the coefficient of xi1xi−1.

Output Format

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

Degree of Polynomial solution codechef

  • 1T1001≤T≤100
  • 1N10001≤N≤1000
  • 1000Ai1000−1000≤Ai≤1000
  • Ai0Ai≠0 for at least one (0i<N)(0≤i<N).Through this contest, selected students get access to a free 6 month LinkedIn Premium subscription which helps students:
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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

Degree of Polynomial solution codechef

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 3x0+3x1=3+3x−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 0x0+0x1+5x2=0+0+5x20⋅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 1x0+2x1+4x2+0x3=1+2x+4x21⋅x0+2⋅x1+4⋅x2+0⋅x3=1+2⋅x+4⋅x2. Thus, the highest power of xx with non-zero coefficient is 22.

SOLUTION

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