## Algorithm

Problem Name: beecrowd | 2867

# Digits

By Ricardo Martins, IFSULDEMINAS Brazil

Timelimit: 1

Given two integers, n and m, how many digits have nm?

Examples:

2 and 10 - 210 = 1024 - 4 digits

3 and 9 - 39 = 19683 - 5 digits

## Input

The input is composed of several test cases. The first line has an integer C, representing the number of test cases. The following C lines contain two integers N and M (1 <= N, M <= 100).

## Output

For each input test case of your program, you must print an integer containing the number of digits of the result of the calculated power in the respective test case.

 Input Sample Output Sample 4 1 1 2 10 3 9 100 100 1 4 5 201

## Code Examples

### #1 Code Example with C++ Programming

```Code - C++ Programming```

``````
#include <iostream>
#include <cmath>

using namespace std;

int main()
{
double t, n, m, x;
cin >> t;
for (int i = 0; i  <  t; ++i)
{
cin >> n >> m;
x=pow(n, m);
x=m*log10(n)+1;
cout << floor(x) << endl;
}

return 0;
}

``````
Copy The Code &

Input

cmd
4 1 1 2 10 3 9 100 100

Output

cmd
1 4 5 201

### #2 Code Example with Java Programming

```Code - Java Programming```

``````
import java.util.*;

public class Main {
public static void main(String[] args) throws Exception {
Scanner leitor = new Scanner(System.in);
int C = leitor.nextInt();
for (int i = 0; i  <  C; i++) {
int N = leitor.nextInt();
int M = leitor.nextInt();
int digitos = (int) (Math.log10(Math.pow(N, M)) + 1);
System.out.println(digitos);
}
}
}

``````
Copy The Code &

Input

cmd
4 1 1 2 10 3 9 100 100

Output

cmd
1 4 5 201

### #3 Code Example with Javascript Programming

```Code - Javascript Programming```

``````
const { readFileSync } = require("fs")
const [[numCases], ...lines] = readFileSync("/dev/stdin", "utf8")
.split("\n")
.map((line) => line.split(" "))

function main() {
const responses = lines
.slice(0, +numCases)
.map(([N, M]) => {
return Math.floor(Number.parseInt(M, 10) * Math.log10(Number.parseInt(N, 10))) + 1
})

console.log(responses.join("\n"))
}

main()
``````
Copy The Code &

Input

cmd
4 1 1 2 10 3 9 100 100

Output

cmd
1 4 5 201

### #4 Code Example with Python Programming

```Code - Python Programming```

``````
c = int(input())
while c:
c -= 1
n, m = [int(x) for x in input().split()]
n = str(n ** m)
print(n)
print(len(n))

``````
Copy The Code &

Input

cmd
4 1 1 2 10 3 9 100 100

Output

cmd
1 4 5 201