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#5 Sumdoku

A cache by MiSmoGadi Send Message to Owner Message this owner
Hidden : 03/25/2019
Difficulty:
5 out of 5
Terrain:
5 out of 5

Size: Size: micro (micro)

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Geocache Description:


MiSmoGadi

#5 Sumdoku

SLO

Killer sudoku (tudi killer su doku, sumdoku, sum doku, sumoku, addoku, or samunamupure) je uganka, ki vključuje elemente dveh drugih logičnih ugank: sudoku in kakuro. Kljub imenu so enostavnejše uganke tipa Killer Sudoku enostavnejše kot običajna uganka tipa sudoku. Po drugi strani lahko reševanje težjih ugank tipa Killer sudoku traja več ur.

Terminologija:

Celica je eno polje v mreži, ki vsebuje številko.

Vrstica je vodoravna vrsta devetih celic.

Stolpec je navpična vrsta devetih celic.

Nonet je polje celic 3×3.

Kletka je skupina celic omejena s črtkano črto.

Hiša je neponavljajoča skupina devetih celic.

Pravila:

Cilj uganke je zapolniti celotno mrežo s števili od 1 do 9, kjer morajo biti izpolnjeni naslednji pogoji:

  • V vsaki vrstici, stolpcu in nonetu se vsaka številka lahko pojavi samo enkrat.
  • Vsota vseh številk v kletki je enaka številki navedeni v kotu kletke.
  • V kletki se številke ne smejo ponavljati.

Reši še naslednjo uganko:

KillerSudoku

 

Odgovori še na naslednja vprašanja:

  1. Število možnih 9x9 Sudoku kombinacij (JJ= število cifer).
  2. Število različnih 9x9 Sudoku rešitev (LL= vsota vseh cifer).

Kje sta spremenljivki KK in MM?

 

Končna rešitev: izračunaj po naslednji formuli (vrstice so označene s črkami [A..I] in stolpci s številkami [1..9]):

STUVWXYZ =

H2*D9*A7*G1*C6*I7*C1*A9*E9*B2*H1+MM*A5+KK*I3-D7*B4*G3*A4*D8*F2-JJ*LL-(A3*I8-C2)*D4

 

Škatlica se nahaja na koordinatah: N 46° 1S.TUV E 014° 2W.XYZ

 

Opozorilo: Škatlica se ne nahaja na izhodiščnih koordinatah.

ENG

Killer sudoku (also killer su doku, sumdoku, sum doku, sumoku, addoku, or samunamupure) is a puzzle that combines elements of sudoku and kakuro. Despite the name, the simpler killer sudokus can be easier to solve than regular sudokus; the hardest ones can take hours to crack.

Terminology:

Cell is a single square that contains one number in the grid.

Row is a horizontal line of 9 cells.

Column is a vertical line of 9 cells.

Nonet is a 3×3 grid of cells, also called a box.

Cage is the grouping of cells denoted by a dotted line or by individual colours.

House is any nonrepeating set of 9 cells. It can be used as a general term for "row, column, or nonet".

Rules:

The objective is to fill the grid with numbers from 1 to 9 in a way that the following conditions are met:

  • Each row, column, and nonet contains each number exactly once.
  • The sum of all numbers in a cage must match the small number printed in its corner.
  • No number appears more than once in a cage.

 

Solve the following puzzle:

 

KillerSudoku

 

Answer to the following questions:

  1. The number of possible 9x9 Sudoku combinations (JJ= the number of digits).
  2. The number of different 9x9 Sudoku solutions (LL= sum of all digits).

Where are the variables KK and MM?

 

Final solution (letters [A..I] represent rows and numbers [1..9] represent columns):

STUVWXYZ =

H2*D9*A7*G1*C6*I7*C1*A9*E9*B2*H1+MM*A5+KK*I3-D7*B4*G3*A4*D8*F2-JJ*LL-(A3*I8-C2)*D4

 

Petling is on the coordinates: N 46° 1S.TUV E 014° 2W.XYZ

 

Warning: Petling is not located on the header coordinates.

Additional Hints (No hints available.)



 

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