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SPOJ-EIGHTS Triple Fat Ladies【數學規律】

Triple Fat Ladies

Pattern Matchers have been designed for various sorts of patterns. Mr. HKP likes to observe patterns in numbers. After completing his extensive research on the squares of numbers, he has moved on to cubes. Now he wants to know all numbers whose cube ends in 888.

Given a number k, help Mr. HKP find the kth number (indexed from 1) whose cube ends in 888.

Input

The first line of the input contains an integer t, the number of test cases. t test cases follow.

Each test case consists of a single line containing a single integer k (1 <= k <= 2000000000000).

Output

For each test case, output a single integer which denotes the kth number whose cube ends in 888. The result will be less than 263.

Example

Input:
1
1

Output:
192

問題連結SPOJ-EIGHTS Triple Fat Ladies
問題簡述
    計算第k個立方其結尾為888的數。
問題分析
    找規律,可以編寫一個程式來找規律。可以發現每250次出現一個,第1個是192。
程式說明:(略)
參考連結:(略)
題記:計算時需要注意值的範圍。

AC的C語言程式如下:

/* SPOJ-EIGHTS Triple Fat Ladies */

#include <stdio.h>

int main(void)
{
    int t;
    scanf("%d", &t);
    while(t--) {
        long long k;
        scanf("%lld", &k);
        printf("%lld\n", 192 + (k - 1) * 250);
    }

    return 0;
}