Solidity smart contract for a Liquidity Provider Subsidy Program on Unsiwap

We have a project with over 1M users and we want to launch an ERC20 token for them. (The token is already launched on mainnet). One of the main goals of our project is to have an as fair as possible token distribution model. This is done via our Liquidity Provider Subsidy Program. We have a fixed supply token with a maximum of 21B tokens minted. However, not all of those tokens will be put into circulation from day one. In order to bootstrap the early days of the system and ensure that there is plenty of TOKEN liquidity, 80% of the total TOKEN supply will be dedicated to rewards for liquidity providers for the USDC/TOKEN pair on UniSwap. The rewards will be distributed via a perpetually deflationary pool. The pool will distribute 0.05% of its outstanding balance, daily, to liquidity providers on the USDC/TOKEN pool in proportion to their time-weighted liquidity provided. This will be done via staking the USDC/TOKEN liquidity tokens in a smart contract. Liquidity tokens that are staked for a longer duration will receive higher rewards compared to tokens staked for little or no duration. The reward multiplier (M) will be calculated based on the duration staked (D) in weeks, as per the formula. We need you to write the smart contract for the LP reward program, test it with us on testnet and deploy it.