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To: Andrew Melnychuk Oseen <amo.personal@protonmail.com>,
 Bitcoin Protocol Discussion <bitcoin-dev@lists.linuxfoundation.org>
From: ZmnSCPxj <ZmnSCPxj@protonmail.com>
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Subject: Re: [bitcoin-dev] Relative txout amounts with a Merkleized Sum Tree
	and explicit miner fee.
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Good morning Andrew,

>=20
>=20
> Can output amounts be mapped to a tap branch? For the goal of secure part=
ial spends of a single UTXO? Looking for feedback on this idea. I got it fr=
om Taro.


Not at all.

The issue you are facing here is that only one tap branch will ever consume=
 the entire input amount.
That is: while Taproot has multiple leaves, only exactly one leaf will ever=
 be published onchain and that gets the whole amount.

What you want is multiple tree leaves where ALL of them will EVENTUALLY be =
published, just not right now.

In that case, look at the tree structures for `OP_CHECKTEMPLATEVERIFY`, whi=
ch are exactly what you are looking for, and help make `OP_CTV` a reality.

Without `OP_CHECKTEMPLATEVERIFY` it is possible to use presigned transactio=
ns in a tree structure to do this same construction.
Presigned transactions are known to be larger than `OP_CHECKTEMPLATEVERIFY`=
 --- signatures on taproot are 64 bytes of witness, but an `OP_CHECKTEMPLAT=
EVERIFY` in a P2WSH reveals just 32 bytes of witness plus the `OP_CHECKTEMP=
LATEVERIFY` opcode.

Regards,
ZmnSCPxj