9.3. At a drama club rehearsal, 8 people gathered. Some of them (honest people) always tell the truth, while the others always lie. One of those present said: "There is not a single honest person here." The second said: "There is no more than one honest person here." The third said: "There is no more than two honest people here," and so on up to the eighth, who said: "There is no more than seven honest people here." How many honest people were there among those gathered?
3. The standard evaluation methodology for solutions is provided below.

| Points | Correctness (Incorrectness) of the Solution |
| :---: | :--- |
| 7 | Fully correct solution. |
| $6-7$ | Correct solution, but with minor flaws that do not significantly affect the solution. |
| $5-6$ | The solution is generally correct. However, it contains errors or omits cases that do not affect the logical reasoning. |
| $3-4$ | In cases where the solution to the problem is divided into two equally important parts—solution of one of the parts. |
| $2-3$ | Auxiliary statements that help in solving the problem have been proven. |
| $0-1$ | Individual cases have been considered in the absence of a solution. |
| 0 | The solution is incorrect, and there is no progress. |
| 0 | The solution is absent. |

It is important to note that any correct solution is awarded 7 points. Points should not be deducted for a solution being too long, or for a correct solution that differs from the one provided in the criteria or from other solutions known to the jury. At the same time, any solution, no matter how long, that does not contain useful progress should be awarded 0 points.