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Pie Mystery Cache

Hidden : 6/6/2022
Difficulty:
3 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


cache location:
N __° __.___' (①)
E ___° __.___' (②)

① = z - y - 4722946

② = x / 2 - 1002866

It is well known that π = 3.1415926...... is an irrational number in which combinations of numbers of various lengths can occur.

There is a coincidence, that if the "1" after the decimal point is regarding as the 0th digit, then the number combination "6" appears at exactly the 6th digit and the number combination "27" appears at exactly the 27th digit. In fact, there are in total three 8-digit number combinations x, y and z (x < y < z) that fit this coincidence. Try to find all these three 8-digit number combinations and calculate the coordinates of the cache with the given equations. Follow the hint to find it once you reach your calculated location.

众所周知,π = 3.1415926...... 是一个无理数,各种长度的数字组合都有可能在其间出现。

其中有一种巧合的情况:如果以小数点后的 “1” 为第 0 位,那么数字组合 “6” 会刚好出现在第 6 位,数字组合 “27” 会刚好出现在第 27 位。而符合这种巧合情况的八位数总共有 3 个,它们分别为 x、y、z(x < y < z)。找出符合条件的这 3 个八位数,按照给出等式计算出藏宝点坐标,前往藏宝点后即可按照提示寻找。


You can validate your puzzle solution with certitude.

Additional Hints (Decrypt)

[puzzle] 64810 [cache] Zber uvag va gur pregvghqr fbyhgvba.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)