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Sagot :
Of course! Let's analyze the given numerical solution step by step. The result you have provided is a structured array (or grid) with some elements filled and others left as 'None'. Here is how it is structured:
```
[[4, 8, 11, 12],
[1.88, None, None, None, None],
[2.444, None, None, None, None],
['3.8 .400', None, None, None, None],
['4.17 .530', None, None, None, None],
['5.25,472', None, None, None, None]]
```
### Step-by-Step Analysis
1. First Row:
- This row is fully filled with numbers.
[tex]\[ \begin{array}{|c|c|c|c|} \hline 4 & 8 & 11 & 12 \\ \hline \end{array} \][/tex]
2. Second Row:
- The first cell has the number [tex]\( 1.88 \)[/tex].
- The remaining cells are empty.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 1.88 & & & & \\ \hline \end{array} \][/tex]
3. Third Row:
- The first cell has the number [tex]\( 2.444 \)[/tex].
- The remaining cells are empty.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 2.444 & & & & \\ \hline \end{array} \][/tex]
4. Fourth Row:
- The first cell contains the string representation '3.8 .400'.
- The remaining cells are empty.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 3.8 .400 & & & & \\ \hline \end{array} \][/tex]
5. Fifth Row:
- The first cell contains the string representation '4.17 .530'.
- The remaining cells are empty.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 4.17 .530 & & & & \\ \hline \end{array} \][/tex]
6. Sixth Row:
- The first cell contains the string representation '5.25,472'.
- The remaining cells are empty.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 5.25,472 & & & & \\ \hline \end{array} \][/tex]
### Final Result Grid
By putting all the rows together, we get the following grid:
[tex]\[ \begin{array}{|l|l|l|l|l|} \hline & 4 & 8 & 11 & 12 \\ \hline 1.88 & & & & \\ 2.444 & & & & \\ 3.8 .400 & & & & \\ 4.17 .530 & & & & \\ \hline 5.25,472 & & & & \\ \hline \end{array} \][/tex]
This table represents the solution as derived, and it neatly organizes our values within the constraints given.
```
[[4, 8, 11, 12],
[1.88, None, None, None, None],
[2.444, None, None, None, None],
['3.8 .400', None, None, None, None],
['4.17 .530', None, None, None, None],
['5.25,472', None, None, None, None]]
```
### Step-by-Step Analysis
1. First Row:
- This row is fully filled with numbers.
[tex]\[ \begin{array}{|c|c|c|c|} \hline 4 & 8 & 11 & 12 \\ \hline \end{array} \][/tex]
2. Second Row:
- The first cell has the number [tex]\( 1.88 \)[/tex].
- The remaining cells are empty.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 1.88 & & & & \\ \hline \end{array} \][/tex]
3. Third Row:
- The first cell has the number [tex]\( 2.444 \)[/tex].
- The remaining cells are empty.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 2.444 & & & & \\ \hline \end{array} \][/tex]
4. Fourth Row:
- The first cell contains the string representation '3.8 .400'.
- The remaining cells are empty.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 3.8 .400 & & & & \\ \hline \end{array} \][/tex]
5. Fifth Row:
- The first cell contains the string representation '4.17 .530'.
- The remaining cells are empty.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 4.17 .530 & & & & \\ \hline \end{array} \][/tex]
6. Sixth Row:
- The first cell contains the string representation '5.25,472'.
- The remaining cells are empty.
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 5.25,472 & & & & \\ \hline \end{array} \][/tex]
### Final Result Grid
By putting all the rows together, we get the following grid:
[tex]\[ \begin{array}{|l|l|l|l|l|} \hline & 4 & 8 & 11 & 12 \\ \hline 1.88 & & & & \\ 2.444 & & & & \\ 3.8 .400 & & & & \\ 4.17 .530 & & & & \\ \hline 5.25,472 & & & & \\ \hline \end{array} \][/tex]
This table represents the solution as derived, and it neatly organizes our values within the constraints given.
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