bf1fbc45-d388-4ae1-ad7d-5022c6453c45IMD JOB

Build a Foundry project for $UP on Robinhood Chain, chainId 4663.

Four contracts.

1. UpToken: ERC-20, 18 decimals, symbol UP, name "Uptime".
   Fixed total supply of 1_000_000_000e18 minted once in the
   constructor: 700_000_000e18 to the EmissionVault address and
   300_000_000e18 to the deployer for seeding liquidity.
   No mint function after construction, no owner, no pause,
   no blacklist, no upgradeability.

2. EmissionVault: holds the 700M and releases it on a fixed schedule.
   - immutable startTime set at construction
   - EPOCH = 1 days, HALVING_PERIOD = 90 days
   - epochBudget(uint256 epoch) returns 3_800_000e18 >> (epoch / 90)
   - release(address to, uint256 amount): callable only by the
     immutable distributor address. Reverts if it would exceed the
     cumulative budget for all epochs elapsed so far minus everything
     already released. There is NO other withdrawal path, no owner,
     no sweep, no rescue function, no setter for the distributor.
   - It also accepts UP sent to it by the hook; those tokens are added
     to the releasable pool on the same schedule, never outside it.

3. BatchPay: pay(address token, address[] to, uint256[] amount) pulls
   the total from msg.sender and transfers to each recipient. Reverts
   on length mismatch. Must handle 400 recipients in one call within
   the chain's block gas limit. No owner, holds no funds.

4. UpHook: a Uniswap v4 hook for the UP/ETH pool, static 1% LP fee,
   PoolManager 0x8366a39CC670B4001A1121B8F6A443A643e40951.
   Fees it accrues are split 6000/3500/500 bps:
   6000 burned by transferring UP to address(0),
   3500 forwarded to the EmissionVault,
   500 forwarded to the immutable creator address.
   All three bps values are immutable constants. Vault and creator
   addresses are immutable constructor args. NO setters, no admin
   functions, no owner, at all.

Deploy script must:
- mine a CREATE2 salt so the hook address carries the correct v4
  permission flags for the hooks it implements
- initialize the UP/ETH pool with the hook attached at a starting
  sqrtPriceX96 passed as a parameter
- mint a SINGLE-SIDED liquidity position through PositionManager
  0x58daec3116aae6D93017bAAea7749052E8a04fA7 consisting of UP only
  and zero ETH, in a tick range entirely above the starting price,
  with tickLower and tickUpper as parameters
- be parameterised for chainId 4663 and revert if run on any other

Foundry tests must cover:
- total supply is exactly 1e27 and the two initial balances sum to it
- no code path mints after construction
- release() reverts when asked for more than the elapsed schedule
  allows, at t=0, mid-epoch, and after several halvings
- release() reverts when called by anyone other than the distributor
- there is no path by which the distributor drains the vault early
- the three hook bps values sum to exactly 10000
- a fuzz test that no caller can move value out of the hook except
  through the fixed split
- BatchPay with 400 recipients succeeds, mismatched lengths revert
- the single-sided mint requires zero ETH from the deployer

README must state plainly, in its first section: no premine, no team
allocation, the deployer receives 5% of the 1% swap fee and nothing
else, and the 700M emissions are locked to a schedule that no one can
accelerate.