$2$ channel PWM application with Timer $4$: The Timer $4$ counter frequency in the STM$32$F$407$ microcontroller is set to $1$MHz and the PWM frequency to $10$kHz$,$ taking into account the microcontroller features, and with the necessary configurations, $90\%$ and $30\%$ duty$-$cycle is achieved from the Timer $41$st and $4$th channels, respectively. Prepare and report the code that will send the PWM signals received at high rates to the red and blue LEDs on the card. When editing your reports, Timer $4$ and PWM frequency adjustment processes should be clearly stated before the code lines and the code lines should be adequately explained.

Also, explain the result to be observed in LEDs in technical details.

Note $1$: Required system library $\text{'}$stm$32$f$4$xx$.$h$\text{'}$

Note $2$: It will be assumed that the operating clock values $$of the processor are as follows:

$$Input Oscillator: $8$ MHz

$$System Clock and AHB$1$ line: $168$ MHz

APB$1$ peripherals line: $42$ MHz

$$APB$1$ timer units clock: $84$ MHz

APB$2$ peripherals line: $84$ MHz

$$APB$2$ timer units clock: $168$ MHz

$$Timer $4$ ARR: $100$

Note $3$: Codes that appear to be produced with tools similar to ChatGPT will not be evaluated.

Note $4$: It will be assumed that the reports are prepared individually by each group and reports containing similar explanations and codes will not be evaluated.