/***************************************************************************************************
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SMTProcessor: Sparse Merkle Tree processor is a component to verify an insert/update/delete elements
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into the Sparse Merkle tree.
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Insert to an empty leaf
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=======================
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STATE OLD STATE NEW STATE
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===== ========= =========
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oldRoot newRoot
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▲ ▲
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│ │
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┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓
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top │Sibling├────▶┃ Hash ┃◀─┐ │Sibling├────▶┃ Hash ┃◀─┐
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└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │
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│ │
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│ │
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┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓ ┌───────┐
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top ┌─────▶┃ Hash ┃◀──┤Sibling│ ┌─────▶┃ Hash ┃◀──┤Sibling│
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│ ┗━━━━━━━┛ └───────┘ │ ┗━━━━━━━┛ └───────┘
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│ │
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│ │
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┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓
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top │Sibling├──▶┃ Hash ┃◀─────┐ │Sibling├──▶┃ Hash ┃◀─────┐
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└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │
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│ │
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│ │
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┌────┴────┐ ┌────┴────┐
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old0 │ 0 │ │New1Leaf │
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└─────────┘ └─────────┘
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┏━━━━━━━┓ ┏━━━━━━━┓
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na ┃ Hash ┃ ┃ Hash ┃
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┗━━━━━━━┛ ┗━━━━━━━┛
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┏━━━━━━━┓ ┏━━━━━━━┓
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na ┃ Hash ┃ ┃ Hash ┃
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┗━━━━━━━┛ ┗━━━━━━━┛
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Insert to a used leaf.
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=====================
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STATE OLD STATE NEW STATE
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===== ========= =========
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oldRoot newRoot
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▲ ▲
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│ │
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┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓
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top │Sibling├────▶┃ Hash ┃◀─┐ │Sibling├────▶┃ Hash ┃◀─┐
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└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │
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│ │
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│ │
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┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓ ┌───────┐
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top ┌─────▶┃ Hash ┃◀──┤Sibling│ ┌─────▶┃ Hash ┃◀──┤Sibling│
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│ ┗━━━━━━━┛ └───────┘ │ ┗━━━━━━━┛ └───────┘
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│ │
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│ │
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┌───────┐ ┏━━━┻━━━┓ ┌───────┐ ┏━━━┻━━━┓
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top │Sibling├──▶┃ Hash ┃◀─────┐ │Sibling├──▶┃ Hash ┃◀─────┐
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└───────┘ ┗━━━━━━━┛ │ └───────┘ ┗━━━━━━━┛ │
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│ │
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│ │
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┌────┴────┐ ┏━━━┻━━━┓ ┌───────┐
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bot │Old1Leaf │ ┌─────▶┃ Hash ┃◀──┼─ 0 │
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└─────────┘ │ ┗━━━━━━━┛ └───────┘
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│
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│
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┏━━━━━━━┓ ┌───────┐ ┏━━━┻━━━┓
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bot ┃ Hash ┃ │ 0 ─┼──▶┃ Hash ┃◀─────┐
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┗━━━━━━━┛ └───────┘ ┗━━━━━━━┛ │
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│
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│
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┏━━━━━━━┓ ┏━━━┻━━━┓ ┌───────┐
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bot ┃ Hash ┃ ┌─────▶┃ Hash ┃◀──│ 0 │
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┗━━━━━━━┛ │ ┗━━━━━━━┛ └───────┘
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│
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│
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┏━━━━━━━┓ ┌─────────┐ ┏━━━┻━━━┓ ┌─────────┐
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new1 ┃ Hash ┃ │Old1Leaf ├──▶┃ Hash ┃◀──│New1Leaf │
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┗━━━━━━━┛ └─────────┘ ┗━━━━━━━┛ └─────────┘
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┏━━━━━━━┓ ┏━━━━━━━┓
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na ┃ Hash ┃ ┃ Hash ┃
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┗━━━━━━━┛ ┗━━━━━━━┛
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┏━━━━━━━┓ ┏━━━━━━━┓
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na ┃ Hash ┃ ┃ Hash ┃
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┗━━━━━━━┛ ┗━━━━━━━┛
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Fnction
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fnc[0] fnc[1]
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0 0 NOP
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0 1 UPDATE
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1 0 INSERT
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1 1 DELETE
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***************************************************************************************************/
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include "../gates.circom";
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include "../bitify.circom";
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include "../comparators.circom";
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include "../switcher.circom";
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include "smtlevins.circom";
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include "smtprocessorlevel.circom";
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include "smtprocessorsm.circom";
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include "smthash.circom";
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template SMTProcessor(nLevels) {
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signal input oldRoot;
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signal input newRoot;
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signal input siblings[nLevels];
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signal input oldKey;
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signal input oldValue;
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signal input isOld0;
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signal input newKey;
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signal input newValue;
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signal input fnc[2];
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signal enabled;
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enabled <== fnc[0] + fnc[1] - fnc[0]*fnc[1]
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component hash1Old = SMTHash1();
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hash1Old.key <== oldKey;
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hash1Old.value <== oldValue;
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component hash1New = SMTHash1();
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hash1New.key <== newKey;
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hash1New.value <== newValue;
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component n2bOld = Num2Bits_strict();
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component n2bNew = Num2Bits_strict();
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n2bOld.in <== oldKey;
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n2bNew.in <== newKey;
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component smtLevIns = SMTLevIns(nLevels);
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for (var i=0; i<nLevels; i++) smtLevIns.siblings[i] <== siblings[i];
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smtLevIns.enabled <== enabled;
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component xors[nLevels];
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for (var i=0; i<nLevels; i++) {
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xors[i] = XOR();
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xors[i].a <== n2bOld.out[i];
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xors[i].b <== n2bNew.out[i];
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}
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component sm[nLevels];
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for (var i=0; i<nLevels; i++) {
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sm[i] = SMTProcessorSM();
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if (i==0) {
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sm[i].prev_top <== enabled;
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sm[i].prev_old0 <== 0;
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sm[i].prev_bot <== 0;
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sm[i].prev_new1 <== 0;
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sm[i].prev_na <== 1-enabled;
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sm[i].prev_upd <== 0;
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} else {
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sm[i].prev_top <== sm[i-1].st_top;
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sm[i].prev_old0 <== sm[i-1].st_old0;
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sm[i].prev_bot <== sm[i-1].st_bot;
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sm[i].prev_new1 <== sm[i-1].st_new1;
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sm[i].prev_na <== sm[i-1].st_na;
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sm[i].prev_upd <== sm[i-1].st_upd;
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}
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sm[i].is0 <== isOld0;
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sm[i].xor <== xors[i].out;
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sm[i].fnc[0] <== fnc[0];
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sm[i].fnc[1] <== fnc[1];
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sm[i].levIns <== smtLevIns.levIns[i];
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}
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sm[nLevels-1].st_na === 1;
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component levels[nLevels];
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for (var i=nLevels-1; i != -1; i--) {
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levels[i] = SMTProcessorLevel();
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levels[i].st_top <== sm[i].st_top;
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levels[i].st_old0 <== sm[i].st_old0;
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levels[i].st_bot <== sm[i].st_bot;
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levels[i].st_new1 <== sm[i].st_new1;
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levels[i].st_na <== sm[i].st_na;
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levels[i].st_upd <== sm[i].st_upd;
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levels[i].sibling <== siblings[i];
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levels[i].old1leaf <== hash1Old.out;
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levels[i].new1leaf <== hash1New.out;
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levels[i].newlrbit <== n2bNew.out[i];
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if (i==nLevels-1) {
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levels[i].oldChild <== 0;
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levels[i].newChild <== 0;
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} else {
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levels[i].oldChild <== levels[i+1].oldRoot;
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levels[i].newChild <== levels[i+1].newRoot;
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}
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}
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component topSwitcher = Switcher();
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topSwitcher.sel <== fnc[0]*fnc[1];
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topSwitcher.L <== levels[0].oldRoot;
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topSwitcher.R <== levels[0].newRoot;
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topSwitcher.outL === oldRoot*enabled;
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topSwitcher.outR === newRoot*enabled;
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// Ckeck keys are equal if updating
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component areKeyEquals = IsEqual();
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areKeyEquals.in[0] <== oldKey;
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areKeyEquals.in[1] <== newKey;
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component keysOk = MultiAND(3);
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keysOk.in[0] <== 1-fnc[0];
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keysOk.in[1] <== fnc[1];
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keysOk.in[2] <== 1-areKeyEquals.out;
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keysOk.out === 0;
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}
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