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.