A deep learning researcher is designing an LSTM$-$based neural network for a natural language processing task. The researcher plans to use a single$-$layer LSTM with specific architectural parameters. The LSTM layer is expected to have an input size of $50$ and a hidden size of $100.$Additionally, the researcher decides not to use bidirectionality in the LSTM layer. Based on these specifications, calculate the total number of parameters required for this LSTM layer. Show Gate wise necessary calculations.