1. Find the minimum loss, which is EXPENSE - INCOME, where the letters $\boldsymbol{P}, \boldsymbol{A}, \boldsymbol{C}, \boldsymbol{X}, \boldsymbol{O}, \boldsymbol{D}$ represent digits forming an arithmetic progression in the given order. (2 points).

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# Solution:

The difference in the progression is 1; otherwise, 6 digits will not fit (if the "step" is 2, then 6 digits will exceed the field of digits). The smaller the first digit, the smaller the loss. Therefore, $\boldsymbol{P}=1, \boldsymbol{A}=2, \boldsymbol{C}=3, \boldsymbol{X}=4, \boldsymbol{O}=5, D=6$. Thus, 123456-65456=58000.

Answer: 58000.

| Points | Criteria for evaluating the performance of task № 1 |
| :---: | :--- |
| $\mathbf{9}$ | A correct and justified sequence of all steps of the solution is provided. All transformations and calculations are performed correctly. The correct answer is obtained. |
| $\mathbf{6}$ | A correct sequence of all steps of the solution is provided. There are gaps in the justification for the choice of correspondence between letters and digits or a computational error or typo that does not affect the further course of the solution. As a result of this error or typo, an incorrect answer may be obtained. |
| $\mathbf{3}$ | The problem is not solved, but its solution is significantly advanced, i.e.: - a significant part of the solution is performed correctly, possibly inaccurately (for example, the difference in the progression is found); - another part is either not performed or performed incorrectly, possibly even with logical errors (for example, the choice of correspondence between letters and digits is incorrect). The solution may be incomplete. |
| $\mathbf{0}$ | All cases of the solution that do not meet the above criteria for scoring 3 and 6 points. |