Online 5x5 Solver

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1. 5x5x5 Shipping Boxes
2. Online 5x5 Solver Calculator

Methods explanation

Laplace Expansion Theorem

The Laplacian development theorem provides a method for calculating the determinant, in which the determinant is developed after a row or column. The dimension is reduced and can be reduced further step by step up to a scalar.

$\mathrm{det\; A}=\sum _{i=1}^n{-1}^{i+j}\cdot a_{ij}\det A_{ij}\text{( Expansion on the j-th column )}$

$\mathrm{det\; A}=\sum _{j=1}^n{-1}^{i+j}\cdot a_{ij}\det A_{ij}\text{( Expansion on the i-th row )}$

where A_ij, the sub-matrix of A, which arises when the i-th row and the j-th column are removed.

5x5x5 Shipping Boxes

Example of the Laplace expansion according to the first row on a 3x3 Matrix.

$\mathrm{det\; A}= \begin{array}{ccc}{a}_{11}& a_{12}& a_{13}\\ a_{21}& a_{22}& a_{23}\\ a_{31}& a_{32}& a_{33}\end{array}$

The first element is given by the factor a₁₁ and the sub-determinant consisting of the elements with green background.

$\begin{array}{ccc}{a}_{11}& a_{12}& a_{13}\\ a_{21}& a_{22}& a_{23}\\ a_{31}& a_{32}& a_{33}\end{array} =>a_{11} \begin{array}{cc}{a}_{22}& a_{23}\\ a_{32}& a_{33}\end{array}$

The second element is given by the factor a₁₂ and the sub-determinant consisting of the elements with green background.

$\begin{array}{ccc}{a}_{11}& a_{12}& a_{13}\\ a_{21}& a_{22}& a_{23}\\ a_{31}& a_{32}& a_{33}\end{array} =>a_{12} \begin{array}{cc}{a}_{21}& a_{23}\\ a_{31}& a_{33}\end{array}$

The third element is given by the factor a₁₃ and the sub-determinant consisting of the elements with green background.

$\begin{array}{ccc}{a}_{11}& a_{12}& a_{13}\\ a_{21}& a_{22}& a_{23}\\ a_{31}& a_{32}& a_{33}\end{array} =>a_{13} \begin{array}{cc}{a}_{21}& a_{22}\\ a_{31}& a_{32}\end{array}$

With the three elements the determinant can be written as a sum of 2x2 determinants.

$\mathrm{det\; A}= \begin{array}{ccc}{a}_{11}& a_{12}& a_{13}\\ a_{21}& a_{22}& a_{23}\\ a_{31}& a_{32}& a_{33}\end{array} =a_{11} \begin{array}{cc}{a}_{22}& a_{23}\\ a_{32}& a_{33}\end{array} -a_{12} \begin{array}{cc}{a}_{21}& a_{23}\\ a_{31}& a_{33}\end{array} +a_{13} \begin{array}{cc}{a}_{21}& a_{22}\\ a_{31}& a_{32}\end{array}$

It is important to consider that the sign of the elements alternate in the following manner.

$\begin{array}{ccc}+& -& +\\ -& +& -\\ +& -& +\end{array}$

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BigBoggle Solver 5x5

Grid Generator

Tool/Solver to cheat at Boggle 5x5. The Big Boggle 5*5 a variant of the Boogle letter game, but using a square board of 25 letters (instead of 16 in the original version). The goal of the game is the same: search for words from adjacent letters on the board.

Answers to Questions

How to use the Boggle Solver?

The BigBoggle 5x5 solver is similar to the classic Boggle 4x4. Enter the letters in the 25 cells.

Example:

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

The solver accepts:

- joker boxes (any letter) that are indicated with a * or ? character.

- black or empty boxes (not usable)

- boxes containing a block of letters such as QU

The use of the solver is considered as cheat for online games, cheating is not play.

How to count Boggle score?

In its original version, the official rule give points according to the length of the word:

Online 5x5 Solver Calculator

4 letters = 1 point

5 letters = 2 points

6 letters = 3 points

7 letters = 5 points

8 letters or more = 11 points

Should I put Q or QU

Since in many languages the letter Q is followed by a U, on a board or a Boggle grid, it is common to assimilate Q as a QU block. Since this rule is not official, on dCode, QU must be written in the box.

Source code

dCode retains ownership of the online 'Big Boggle Solver 5x5' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Big Boggle Solver 5x5 download for offline use on PC, tablet, iPhone or Android !

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