# #P1560A. Dislike of Threes

ID: 7243 Type: RemoteJudge 1000ms 256MiB 尝试: 3 已通过: 3 难度: 10 上传者: 标签>brute forceimplementation

# Dislike of Threes

## Description

Polycarp doesn't like integers that are divisible by \$3\$ or end with the digit \$3\$ in their decimal representation. Integers that meet both conditions are disliked by Polycarp, too.

Polycarp starts to write out the positive (greater than \$0\$) integers which he likes: \$1, 2, 4, 5, 7, 8, 10, 11, 14, 16, \dots\$. Output the \$k\$-th element of this sequence (the elements are numbered from \$1\$).

The first line contains one integer \$t\$ (\$1 \le t \le 100\$) — the number of test cases. Then \$t\$ test cases follow.

Each test case consists of one line containing one integer \$k\$ (\$1 \le k \le 1000\$).

For each test case, output in a separate line one integer \$x\$ — the \$k\$-th element of the sequence that was written out by Polycarp.

## Input

The first line contains one integer \$t\$ (\$1 \le t \le 100\$) — the number of test cases. Then \$t\$ test cases follow.

Each test case consists of one line containing one integer \$k\$ (\$1 \le k \le 1000\$).

## Output

For each test case, output in a separate line one integer \$x\$ — the \$k\$-th element of the sequence that was written out by Polycarp.

10
1
2
3
4
5
6
7
8
9
1000
1
2
4
5
7
8
10
11
14
1666