3. Find the number of integer solutions $(a ; b ; c)$ of the equation param1, satisfying the condition param2.

| param1 | param2 |  |
| :---: | :---: | :---: |
| $150^{a} \cdot\left(\frac{200}{3}\right)^{b} \cdot 2250^{c}=33750$ | $\|a+b+c\| \leq 120$ |  |
| $150^{a} \cdot\left(\frac{200}{3}\right)^{b} \cdot 2250^{c}=506250$ | $\|a+b+c\|<91$ |  |
| $150^{a} \cdot\left(\frac{200}{3}\right)^{b} \cdot 2250^{c}=15000$ | $\|a+b+c\| \leq 250$ |  |
| $150^{a} \cdot\left(\frac{200}{3}\right)^{b} \cdot 2250^{c}=225000$ | $\|a+b+c\|<113$ |  |
3. Find the number of integer solutions ( $a ; b ; c$ ) of the equation param1, satisfying the condition param2.

| param1 | param2 | Answer |
| :---: | :---: | :---: |
| $150^{a} \cdot\left(\frac{200}{3}\right)^{b} \cdot 2250^{c}=33750$ | $\|a+b+c\| \leq 120$ | 120 |
| $150^{a} \cdot\left(\frac{200}{3}\right)^{b} \cdot 2250^{c}=506250$ | $\|a+b+c\|<91$ | 90 |
| $150^{a} \cdot\left(\frac{200}{3}\right)^{b} \cdot 2250^{c}=15000$ | $\|a+b+c\| \leq 250$ | 250 |
| $150^{a} \cdot\left(\frac{200}{3}\right)^{b} \cdot 2250^{c}=225000$ | $\|a+b+c\|<113$ | 112 |