## WORMS - Play with Digit Seven

### Description

A natural number x is called a good number if one or two of the next two conditions is satisfied:

• 7 is a divisor of x.
• 7 is a digit of x.

Write a program that:

• reads a number n from the standard input,
• computes the number of good numbers in range [1, 10n],
• writes the result to the standard output.

Solve the problem by at most 0.5kB of source code.

### Input

The input begins with an integer t (t <= 210), the number of test cases.t test cases follow.

For each test case, the first and only line contains an integer n (1 <= n <= 500).

### Output

For each test case the output consists of one line that contains the answer.

### Example

```Sample input:
3
1
2
1

Sample output:
1
30
1```

## Code Examples

### #1 Code Example with Python Programming

```Code - Python Programming```

``````dp = [[0 for i in range(7)] for j in range(505)]
dp[0][0] = 1
for i in range(0, 500):
for j in range(0, 7):
for k in range(0, 10):
if k != 7:
dp[i + 1][(10 * j + k) % 7] += dp[i][j]
t = int(input())
for i in range(0, t):
n = int(input())
sum = 0
for j in range(1, 7):
sum += dp[n][j]
print(10 ** n - sum - 1)``````
Copy The Code &

Input

cmd
3
1
2
1

Output

cmd
1
30
1