From e2df3c4825a9cdd17d24bc5de74084d81000b388 Mon Sep 17 00:00:00 2001
From: Mikael CAPELLE <capelle.mikael@gmail.com>
Date: Wed, 21 Dec 2022 09:44:05 +0100
Subject: [PATCH] Day 21.

---
 2022/day21.py         |  106 +++
 2022/inputs/day21.txt | 1835 +++++++++++++++++++++++++++++++++++++++++
 2022/tests/day21.txt  |   15 +
 3 files changed, 1956 insertions(+)

diff --git a/2022/day21.py b/2022/day21.py
index dbb8408..6758bca 100644
--- a/2022/day21.py
+++ b/2022/day21.py
@@ -1,3 +1,109 @@
 # -*- encoding: utf-8 -*-
 
+import operator
 import sys
+from typing import Callable
+
+
+def compute(monkeys: dict[str, int | tuple[str, str, str]], monkey: str) -> int:
+    value = monkeys[monkey]
+    if isinstance(value, int):
+        return value
+    else:
+        op: dict[str, Callable[[int, int], int]] = {
+            "+": operator.add,
+            "-": operator.sub,
+            "*": operator.mul,
+            "/": operator.floordiv,
+        }
+        value = op[value[1]](compute(monkeys, value[0]), compute(monkeys, value[2]))
+        monkeys[monkey] = value
+        return value
+
+
+def invert(
+    monkeys: dict[str, int | tuple[str, str, str]], monkey: str, target: int
+) -> dict[str, int | tuple[str, str, str]]:
+    """
+    Revert the given mapping from monkey name to value or operation such that
+    the value from 'monkey' is computable by inverting operation until the root is
+    found.
+
+    Args:
+        monkeys: Dictionary of monkeys, that will be updated and returned.
+        monkey: Name of the monkey to start from.
+        target: Target value to set for the monkey that depends on root.
+
+    Returns:
+        The given dictionary of monkeys.
+    """
+
+    monkeys = monkeys.copy()
+
+    depends: dict[str, str] = {}
+    for m, v in monkeys.items():
+        if isinstance(v, int):
+            continue
+
+        op1, _, op2 = v
+
+        assert op1 not in depends
+        assert op2 not in depends
+        depends[op1] = m
+        depends[op2] = m
+
+    invert_op = {"+": "-", "-": "+", "*": "/", "/": "*"}
+
+    current = monkey
+    while True:
+        dep = depends[current]
+
+        if dep == "root":
+            monkeys[current] = target
+            break
+
+        val = monkeys[dep]
+        assert not isinstance(val, int)
+
+        op1, ope, op2 = val
+
+        if op1 == current:
+            monkeys[current] = (dep, invert_op[ope], op2)
+        elif ope in ("+", "*"):
+            monkeys[current] = (dep, invert_op[ope], op1)
+        else:
+            monkeys[current] = (op1, ope, dep)
+
+        current = dep
+
+    return monkeys
+
+
+lines = sys.stdin.read().splitlines()
+
+monkeys: dict[str, int | tuple[str, str, str]] = {}
+
+op_monkeys: set[str] = set()
+
+for line in lines:
+    parts = line.split(":")
+    name = parts[0].strip()
+
+    try:
+        value = int(parts[1].strip())
+        monkeys[name] = value
+    except ValueError:
+        op1, ope, op2 = parts[1].strip().split()
+        monkeys[name] = (op1, ope, op2)
+
+        op_monkeys.add(name)
+
+
+answer_1 = compute(monkeys.copy(), "root")
+print(f"answer 1 is {answer_1}")
+
+# assume the second operand of 'root' can be computed, and the first one depends on
+# humn, which is the case is my input and the test input
+p1, _, p2 = monkeys["root"]  # type: ignore
+answer_2 = compute(invert(monkeys, "humn", compute(monkeys.copy(), p2)), "humn")
+print(f"answer 2 is {answer_2}")
diff --git a/2022/inputs/day21.txt b/2022/inputs/day21.txt
index e69de29..4d175b9 100644
--- a/2022/inputs/day21.txt
+++ b/2022/inputs/day21.txt
@@ -0,0 +1,1835 @@
+rgfg: 7
+dvfr: 2
+srjl: 15
+lqvd: sqbt * rvzp
+rqcs: gpvh * cdfd
+vclj: 2
+blts: 2
+qwhw: 19
+lzcr: 2
+qdnp: 1
+fqtv: 20
+mgqz: ghcc + btql
+qzzz: 4
+svqt: djpj + zghf
+wpjg: 4
+rvld: 9
+fcgn: 7
+cmbz: nmtm * twng
+mbzr: jqgb + vjbq
+fjtt: 3
+zztp: gjbl * lcdp
+qwnr: 7
+qdwh: 2
+dbbq: ltth + dvhf
+jdzd: 3
+wgcl: wwnm + pmhr
+twrz: 2
+twnr: brqf - tbgb
+gfcv: 2
+ntts: jtpv + hhgc
+nlhj: 16
+zbwq: 1
+cjbs: pqcv * dssn
+gwwv: lgjj - dblz
+dfdb: 11
+phct: 14
+prrh: humn - dgzv
+sdvl: wdlt + qlpq
+jrgf: 19
+vnrj: hgml * pdhf
+nfbv: 1
+nbrl: cghl + pvpg
+cndb: 4
+dflh: 8
+hjzq: fjgs + pbfz
+csmf: fqcq + hzrw
+ghjh: srhw + qcrz
+rwft: 3
+mngt: 17
+pmfb: rpwt - zqtg
+ptpr: rjrz * zcgl
+nwhw: sflg + cfhr
+csdm: 2
+rqwr: ghpc * jqcb
+lwqf: wrms + gdvv
+fcbw: 9
+ssst: 3
+tjzf: 2
+nrzl: 3
+qwjv: qhwt + ljls
+rjrz: hdrv - tdrq
+lwgl: bspl * gwcc
+psgg: nqvr * nbrf
+dnnc: wgfv * flmg
+nnbn: 4
+stjg: 3
+qfcj: 5
+bhlf: glmn - ghbv
+hqms: ftjw * jdzd
+zqtg: zcvf * qqdw
+whrp: 3
+jnrp: 3
+vdtn: 3
+mfdh: vrqd / bfrj
+gdjq: 2
+srtc: mpwf * fjbm
+tqbd: rvnp * tqmf
+gmsq: 2
+fcll: pjhq * smhw
+ggvp: 3
+nbgd: gfcv * qllt
+mzdr: wpnv * hgjz
+qrnn: 1
+qdnv: plqp + cgqq
+ppsg: 17
+bwwd: rsvl + jqbn
+jjqr: 2
+hrff: 3
+lfzr: tjwr + nttc
+hdjc: 5
+qntd: qqgz * dcjg
+gbtz: rzww * gwsp
+fpww: 1
+cbmt: bzzj * qwmz
+dlqm: 5
+sdmw: ccfw * rvjz
+ccfw: 2
+pprc: qrwq - rhwf
+bcns: 17
+fwtq: 7
+mbqq: rmds + mlvg
+flmg: 4
+sdgl: lvdf * hwgq
+fjvg: 10
+wmwp: 5
+jsrm: qwjv + dmss
+tdzt: qqrj + rvld
+mnmz: 15
+zvpf: 9
+wlcw: 2
+snpf: 4
+vbgr: zcsg + bvsd
+sldw: 4
+cbfr: dstt + htnp
+fzlh: 7
+vmqf: nvtp * wltb
+fwtm: 3
+psrv: nppr + fzqg
+vhmg: rwpc * zqpf
+jhgj: tfzj + cqgg
+ljjw: qstq * srmh
+fvsc: 13
+npbb: 16
+jrzz: hvnn * pqmv
+nllb: gtwh + phpm
+gdtg: 2
+djwv: 3
+hzfq: 5
+hbtr: rlfm * jjfs
+mwcn: bzwb - fszz
+bdvs: 2
+swfh: pffh - mngt
+cwpd: gmqr + jdvs
+jwbz: tjzb + bnzd
+gdnm: hgsz + nnzq
+vhpz: 3
+mspm: ffvm + bgvw
+rwpq: 3
+pstq: pzmw * bdrz
+zvqj: 13
+dgwp: hsgz + zrdh
+cnfz: cdpt * dftf
+mcqt: 15
+vczt: 2
+hzjc: mngm + nnbn
+hgvb: jdln * cmwq
+pbfz: twhc * hzfq
+hcbm: lmbh * nghs
+mpsq: 6
+qmlb: 5
+vsht: 2
+swzv: 2
+twbr: vmrd * dbhn
+jrzt: jbzp * pptp
+pvdj: 12
+hbvj: 2
+rmzz: 20
+hsdv: 12
+vqlq: pcgq * wmgs
+gfzq: 1
+lvpz: 2
+dvps: zlwg * twbr
+zjmm: 5
+btnz: 4
+qbmj: 2
+gqjl: pcqg + fqsj
+ljrh: zmzm * hlvz
+wtmp: cmlw * lcgc
+jgmw: qvnw - lvdq
+wtjn: jzpt + fssd
+bcdw: mdtt * nlhj
+gvmc: wqql * zmdv
+brfl: twhf * rttd
+lzms: 10
+jzzh: mtgv * ghdc
+srmh: ljcq + qcgv
+zfvv: rqqh * lccm
+wnqs: sbws + ghjh
+brqf: dgjt / sslm
+wthg: 2
+lsqn: 5
+zhfp: 3
+mdgp: nwhw + schl
+nghs: btpv + hdvv
+ddzp: 4
+pmpz: vbfp / zjsl
+stvp: qrzd + swcd
+cscd: wzrd / lbjz
+pgqn: jrms * wthg
+ntps: mmmz * ccvg
+vqvj: qlqd + zhvb
+mccc: 2
+jrns: bfht / frbf
+gscm: rqqr - qgjv
+lztm: 2
+vmrs: 3
+bshf: vclj * fghj
+ftws: jqdh + clzz
+hsfn: 3
+vrmz: 4
+ldmq: 3
+vftg: 4
+gjcf: 17
+vdgt: plss * cvlv
+cfhb: 3
+cszp: 3
+rdgc: bjlm * nzbp
+sqfq: drhf * jrtl
+bzcg: wbjh * ntqb
+jfjl: 12
+bwlt: 3
+qrzc: vbqv + gfvg
+tqrq: rhqd + grwm
+wgqf: 2
+dnps: tdrt * nnhr
+cpbb: ddzp * whfw
+mjbb: qgvq * pjjl
+ncdq: 10
+jgwm: 14
+nzjl: 7
+btpv: 10
+wpnv: 7
+hpdf: 3
+pdhf: 19
+cqjn: 5
+tbvv: cscd - sswr
+bztb: 1
+pzzj: 5
+thtp: 10
+chch: cjgq * qzjh
+hwgq: cqtm + sdgr
+zqfn: 3
+vdvn: mgtq + lnvw
+cqdq: zcng * bvcg
+fjtr: jfhl * flqb
+jgss: 6
+qjwn: fmgz + gdbm
+rmpm: 2
+jfsw: jfmf + sqpz
+zggj: 2
+vvcp: 6
+sptr: 2
+qwzs: 11
+hdvv: 3
+rcwg: 1
+hmwv: 2
+fnwh: 4
+msvn: 3
+zbvc: 2
+vfcd: 13
+pmhr: 18
+vrlm: 7
+bttt: pzzj + bdvs
+sghh: 2
+cfnb: whpb - cvnw
+prlg: mrgt * npmm
+pgtf: nzhg - pmgp
+gtqq: vbmn + bfbg
+fpmw: jzbr * vttj
+bhwf: tlls * vjhb
+fjsr: mqjq * rwsf
+lfcv: rzgr * tlgc
+nhdj: sptr + dtbw
+qlhb: 5
+chjh: qmcs * hlqz
+cqqs: bhlt + fvsc
+pjsj: 3
+hrht: 3
+gpjv: qdff - pqbm
+dnqm: 5
+qztw: 2
+jpmf: 3
+rtlh: 13
+ssnv: 1
+ggjp: 2
+jzlz: 5
+wgfv: 13
+msgn: 11
+wbfd: chjh - cqpp
+nwwl: hdhf / rjmq
+glcm: 2
+fnst: 1
+lgjj: lwdc * vsfl
+wnzj: mbvs * pmpz
+jdln: 7
+mhlb: 4
+lbns: 2
+tvrz: 2
+srqz: 4
+mwjf: 2
+qfpp: 5
+lqhf: rjsw * gstp
+hqrj: 2
+cdcs: 2
+wgmg: 2
+fnwv: 2
+vqht: zbfv + fpmw
+glll: 2
+plqp: tzpq * dvqb
+ntbb: wssz / qbpg
+wqgb: smzc + fdls
+lqml: 13
+dftf: cdvz * rbwv
+ppnq: 3
+gqnr: nlds + ztmr
+zhnq: rnfs * bdlq
+dgzd: 4
+slhl: pdrs * lbfp
+bmcl: 2
+dmwb: qwzs * crzf
+qrwq: 13
+tztv: hqvh * nvcm
+dlwf: qfcj * bghw
+rmpj: vtmz + tlcq
+gstp: 4
+ljfz: 4
+dfgr: mdgp - ctmz
+fdqw: 2
+czcc: 2
+qrsz: wjcv * dmvf
+dbjv: hpws + gwwq
+vmtm: 10
+rzsp: rvfq * mjth
+plhm: jtcf * qwnr
+cswl: 3
+gtws: 3
+llfp: 2
+vrtf: 2
+lvrw: qfbw * fwtm
+wjcv: zhfp + gphd
+mhtt: 7
+qwqr: 5
+lgtm: 6
+zcsg: hrgr - wdvc
+pcvg: 2
+wbjh: 4
+mddb: 10
+whqs: nnww - sjbb
+bghw: 2
+hfhs: 2
+hrdr: ptpr / hfvl
+cbps: 5
+cvnw: hqrj * bqzd
+lrtc: 2
+lpqf: 9
+fzzr: mnlm / ffqb
+ddrd: nsjt * nbbh
+cmww: 2
+rbwv: 3
+ptsv: 4
+mgnn: wwdw + fqhb
+dchl: cqqs * bfvw
+nmhp: qzlc * dqsh
+mwvb: 2
+pqjn: sptb + dwdv
+vczn: lqhf + msvn
+fwqc: hmgg * gmvp
+qfdp: 3
+ndmb: gjcf * sjcc
+cmwq: 7
+qqcj: rlgp + cjbs
+mhrs: gdwf * ddft
+nsjt: srcq + wbtj
+fgdp: 2
+rcvq: qdnv / pjdc
+lcpv: 3
+jtfh: wljc + mrmb
+ljst: 12
+sngd: gfht * ldmq
+vrqd: jzwl * mgcr
+mvzw: lrtv * gmnh
+lphb: qztw * zsqv
+mjlf: fcnp * gjnm
+znlp: 3
+pvpg: 3
+qvvl: 4
+qcjh: 1
+zhpj: 3
+rwln: 2
+bhlt: ljfz + cvsb
+ssrd: gqzs * fdfc
+pmzl: fwgv + ffht
+spgm: 4
+fzcp: ffjf / ffrp
+qvpb: 11
+fcfg: 12
+vcdh: jrpn * bjrp
+zgcp: qswg + wvdp
+lnrm: 3
+hgws: dtpj * zmlm
+bzzj: 2
+rtsj: 4
+pjhg: 3
+rsgc: lqnv - zbwq
+ffht: hrtf * mrqj
+hjnb: lwdd + lcpv
+mgtq: lmhb * bzcg
+fznc: tgtn / lsjr
+mwmn: stjg * tdhc
+pzgm: qdwh * cszp
+rlgn: djwv * qlvd
+zgnb: 1
+svqz: 4
+tfgf: gftc * wpjg
+dqsh: bwpt + fdsd
+trrg: hdqb + tndw
+ljdh: wnql * jlbc
+plvr: mccw * rnnb
+clhr: 2
+wtcl: 15
+sjbb: 2
+rdsh: pfnq * crbz
+sjst: gftd - fgnf
+zdbr: 4
+hcwj: fzcs + qmhd
+zghf: 18
+vprq: 3
+qpmm: 2
+cgcm: 16
+zcvf: 2
+wjbs: 2
+wvhv: vfnb + rgsw
+mmwd: 4
+tdhc: 5
+lpgm: 3
+fnbg: 5
+ftjw: 2
+gpfh: 2
+qqdw: wvbv + sgcs
+nhnr: smng + cbmt
+dtbw: 17
+vdtv: 11
+bfsr: 7
+zhvs: vrjr + vgrz
+jhdj: 9
+cbww: cswl + tmcv
+grjp: 2
+gcjw: 2
+gftd: zdbr * vqwj
+lpzc: 6
+hbqn: vnsg + mtwb
+vghh: nsjf + nfsr
+jrms: mcjw + tqtf
+jfpm: 3
+lsls: bbvf * plvr
+hwhq: 1
+bjrg: nsrh * vqlq
+gmvp: 17
+qtnr: 2
+mjth: 2
+sjcb: vmqq + zjmm
+lscz: 7
+ghlb: rlmb * vqvj
+bpgv: 6
+nvfn: mcqt * hbqn
+gmqr: 9
+zvhb: 14
+jrcw: 2
+nspv: 5
+gpwl: vdvj + rldj
+rlrl: 7
+mvhj: cwdv + tnnn
+zcdn: 3
+lcnr: 3
+fwgb: 15
+trfn: mddb + hwhq
+crbz: 2
+sgzm: qcdj + gdlw
+msqz: bgtj * nbfv
+jtcf: hfhj + nzlq
+rtsq: qzmg + mzzb
+brrj: jpmf * gcfs
+ghpc: fwgb - qvvl
+tbqf: 3
+bzgg: cspq / vrpg
+zngr: 1
+mdgb: drmp * qpmm
+sdjg: hffl / nszh
+lwvv: 2
+sftz: wtjs * cpmq
+jntf: jgsl - cbps
+hlqz: 3
+hhgc: sdmc * wdbb
+gmnh: 5
+cchl: 3
+bdrg: ppsg * scbg
+vsvz: nmhf - ljdh
+nsjf: zvpf * cmhb
+rwsf: 2
+gbjs: qcbb + swgc
+qfzw: 2
+mfrp: nhdj + rzft
+znld: 3
+ffjf: tcvd + zvrd
+zsrp: 7
+nccv: pbvd * qpph
+flqb: llfr + cnvt
+tvjw: hmjp / gpdt
+zcpw: 10
+qntz: 4
+rvzp: pqtg + zvfv
+rvnp: 2
+cmgn: 4
+qwpv: lswq * jbcv
+jrdb: 2
+fcvt: 4
+wdlt: pjfq * dctj
+rglz: fbwt + lcqz
+mbtl: 1
+cqtg: 10
+mqbl: bhwf * qsfc
+lcqz: fsmj * cnsq
+tqzr: drhv + jnvz
+pqtg: 10
+nttc: rhrj * zgcp
+zhvb: 2
+qzwc: djrf / hfpc
+srrm: dflh - vtvg
+pwmb: 4
+fhlf: znjj - ltsl
+qvhr: cqtg * wnst
+wlgz: 2
+tdwg: brfl * wvhv
+pbvd: gmjr + jfcb
+bbvj: 6
+zlvc: 2
+pvfj: 13
+lhzf: grcw + pcqm
+gcfs: 7
+hhlj: 5
+sltp: 3
+hmpv: jnlr + nnvq
+rscq: 3
+jtrl: jwdd * rzmz
+fssd: clzs / srqz
+nlgh: 3
+hlvz: 2
+gwcc: 2
+dtdq: vfcd * lmjt
+bncj: zhvl / mccc
+mvwq: cqdq + jdcf
+ltth: zjvp * sghh
+hpws: spdl * jqhz
+mwlp: gght / fflz
+qpvs: wdsp + tcgr
+vzhf: 3
+mdtt: 2
+sbwg: 1
+lthv: vgrp * fvmw
+sptb: mgnn + fpwh
+mmwn: gpmm * hrht
+swgs: 2
+qgmn: 3
+gpdt: 2
+pblj: 2
+pcqg: 3
+pqmv: 3
+fjgs: gqcp * blwq
+bghj: mprs + nlrv
+sgrl: 13
+mljq: vprq * znld
+mlwh: stnp * bwww
+lfnl: 9
+jzbr: 19
+fsvr: 3
+vmqq: 6
+bgjv: gtdq * whqs
+nvdr: lppg * qqht
+dsff: bwtn - jrzt
+qdfc: jpsh * wnfl
+sspm: 3
+qhzt: wnqs - rglw
+ccvg: qwbz * blts
+rzww: 2
+sqbt: 2
+scjs: 2
+bzgd: cchl * rdtm
+cdtm: 6
+hjjg: 5
+cghl: 12
+hdqb: fsld * cbtc
+jrpn: rjpv + lvrw
+tzpq: 5
+gmsv: 3
+gpzm: sgrl + dvfh
+bzwb: brtg / mtld
+lvng: lffl * bnrc
+wsfz: blcp * lqss
+wtjs: ctmh * zqmg
+rswf: 7
+zcng: 3
+tmqr: 3
+lnqw: 4
+ljls: 11
+pchs: 4
+smhw: 7
+vlzv: 15
+qmhd: fpvq * cwpd
+qdmq: qwjj / zlvc
+pgml: 5
+jrlt: dfdb * jrcw
+vjhb: cbfr + qrsz
+zjsl: 2
+qfbw: 3
+jdns: lgzw + rqnw
+pfpq: nnrm + bnnn
+jzpt: 3
+gspg: 2
+sbws: hbtr - qmlb
+zqpr: ppmg * gwvt
+vnsg: 3
+dcpz: 3
+mbnh: 13
+ghts: dcnc * vfbz
+qwjj: zvtf / nbjw
+vdvj: pstq * zsrf
+pjdm: bdhm * hnwt
+cmhb: 2
+wghj: 17
+czhg: sngd + vttc
+ttpl: 17
+sbnm: 4
+cqhh: 5
+vbmn: 3
+fbnt: zctw + qflv
+qbbm: rgfg + jrlt
+zdpc: bncj * czhg
+tldr: 5
+jjfs: 7
+jrtl: 4
+nlrv: 2
+drhg: jlst * hdjc
+hrtf: hhdw + qdnp
+humn: 2076
+ghbv: jgmw * jdtn
+scbg: gjgt * dcvd
+fzqn: mvcg * lpzc
+fwgv: gslg * qlhb
+tglq: 6
+lzcz: 11
+gzpp: nmds + qtvv
+brtg: ntbb + dnmd
+vtvg: 1
+sjrz: 4
+djdv: bhsd * fwpt
+clnn: vhmg + mvhj
+rdcr: mmwn + msqz
+tmcv: pfts + rmpj
+thpg: fnwv + jmvz
+hzjr: sqfq - mbtl
+qpbv: 10
+ddft: 4
+rlgp: 1
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+nplp: vgrn * gprv
+qssh: 5
+fwpt: mbsb + jgwm
+sqnn: fgwt - ggvp
+phlz: mwlp * mpbl
+jbcv: 19
+cmgv: hjzq / jsbv
+bnnn: 5
+vgrz: zqhm * hrvm
+fzcj: 1
+sbsr: 2
+mgrl: 2
+vffw: 2
+wzcd: 1
+lzds: fwfj * zcws
+tlgc: 2
+pwnv: 3
+cdvz: 2
+fzcs: tdwg / hpdf
+cblr: tdsz * rtsq
+dtzd: 4
+wfnp: tnbt / jphh
+jbvl: gwwv / fdmz
+wsng: 2
+glpr: 7
+rhqd: wtsv - gjcc
+mgdf: lsfz + brrj
+cvcl: tbrb + mhlb
+gjcc: 5
+mqjq: 4
+fvmw: mqbl + fvjn
+pjwg: fzlh + ssgv
+bwpm: 5
+fflz: 2
+sslm: 12
+blls: 3
+zrms: cqvp * mvpt
+lmhf: 3
+tdsz: 6
+nnvq: sltp * smfs
+lfgl: 2
+hhzd: 7
+crfg: nvmt + zrms
+hvbm: gdtg * wghj
+rjlv: 3
+pwwm: mtfz + bpts
+rzmv: cvcq * jjqv
+mgcr: 8
+mlgn: jstl / rnpn
+ptqr: nhjz + gpfh
+drdp: tvjf + bcld
+dstt: nthp * ntts
+qtvv: jrzz + dwwq
+zhcg: 5
+gddp: lwqf + tsvm
+jcmr: 9
+fjst: gqnr * tfng
+mlvg: bdrg / mgrl
+nlsv: 2
+vmnh: ggzt / cmww
+bnfl: ddrd + jffd
+bwpt: pjnb * gtws
+lqss: zztm * rvpv
+fzqg: vffw * tbvv
+gwvt: 7
+bsll: tdnq * hjnb
+thhz: 5
+cfmz: 5
+bfjg: 2
+zfnv: hlnh * fjfm
+rjms: glpr * tvgm
+fllw: 2
+nfbm: 2
+hnwt: jrjr + trgr
+wdvc: 2
+bjlm: 3
+ssgv: 3
+cwwf: 5
+fppp: 7
+lbpw: 7
+qftc: lqml + nfbv
+bfbj: pgqn / tvrz
+lbfp: 3
+qstq: 2
+jffd: gnbn / lnlw
+cvcq: pjmv * mcgc
+mzjt: 2
+mbvs: 2
+szlr: 2
+zzpp: 2
+tmzn: pjnn - lbvn
+gfbm: 2
+bdhm: 2
+wvbp: 3
+rczj: prqs * jsmg
+nvtp: 2
+tfjb: 1
+tfng: 8
+zvfv: 3
+rldj: sjst * zplt
+lpwb: qfqp * frqw
+tqcc: 8
+jfwp: 2
+mmmz: ssst * sdmw
+sjcc: 11
+srcq: 6
+nhmp: 3
+whzr: 2
+ndhj: pwnv * rswf
+wjmn: 3
+qcqc: 2
+qqgz: 3
+cgqq: mqmn + zrql
+jvjc: 7
+hmbb: 10
+tjbp: 2
+whlh: 9
+jqbn: fssw - stln
+fqcq: qrlj + wsfz
+plsr: fpnv * slhq
+gtpv: jfwp * zvjs
+jbsv: 4
+bdlq: qjdm / fgdp
+pdrs: 2
+dfwh: dwpf * gqjl
+mftb: rwpq * gmsq
+rjgl: qbmj * pmzl
+pffh: fbnt * cmfn
+hgml: 2
+sqrm: hltl + cgfc
+qvsh: zqmh - mlqr
+whmz: 2
+hffl: sbnm * jnct
+hrhw: 11
+fgwt: nhmj + hsfn
+twhc: 6
+bhvm: vgrc * qfhl
+bfvw: qzwc - stbc
+vzmc: 4
+hfpc: rjlv * vclb
+hlbd: 3
+ltgr: 4
+gfvg: 4
+tbcp: 1
+ppmg: 7
+hlrv: hzjf * thhz
+ghdc: 17
+lcdp: fwtq * cffj
+qsng: cqhh * chhv
+qmmz: mrrv + qlmn
+btvt: grmd + rncw
+htnp: vbpl * frbq
+dqbf: wwwb * nbqz
+sflg: sfjb * dtzd
+rnnb: 5
+wzhb: 2
+smzc: 9
+qmtv: 3
+lmbh: 2
+cdgc: 2
+bgmt: jdns + fhqs
+tvjf: wbfd * tfbw
+dfgg: lscz + vdsv
+qlvd: 4
+gdlw: 1
+vmrd: 7
+pwgl: jtmq - lfzr
+wltb: 4
+pdpd: fzqn * npvj
+nhcg: fjsr - qcjh
+gfcq: ttpl - zgnb
+npmn: 2
+srnp: dqgm * dndp
+bgvw: zbvc * fzlc
+qcgv: 10
+qqwq: jdrb - pqnq
+qpph: 2
+qvln: ccsb + srtc
+rvfq: 15
+pvbv: 3
+zlzs: dpwh * tvss
+tljw: hjjg * vsll
+dqpn: zvrl - trrg
+ldmj: 2
+lncr: 2
+zsqv: lzds - svqt
+bhnt: 3
+jrnz: wtrj / wlgz
+hcps: wvlj * pqbz
+fpmn: 2
+wbtj: 5
+tcgr: mwmn * hmzm
+vsql: 3
+mlpg: 19
+zztm: 2
+mnlm: dnps - sjsv
+gprv: pdpw * vbgr
+gtrd: 2
+lvjv: qmmz + dnnc
+mtfz: fmwm * mttg
+cffj: 3
+sddb: 5
+dgjt: hgvv + lphb
+lwdc: 2
+fsvh: 2
+lqlq: 14
+hztc: lcnr * nhnr
+ssrp: brdg * rsrp
+pnjm: 6
+hgfc: ggjp * mvwq
+dbdf: 10
+jqgb: 17
+drhf: zwvq * nlgh
+mtwb: qssh * fcvt
+qcpv: qvhr + zlzs
+dlsn: 5
+rsrp: 5
+wwwb: mnmz + ptsv
+rvpv: 5
+grcw: hpmw * twrz
+dvqb: hwvf + ndhj
+wbjq: sdsp + rpnp
+rbbn: 3
+zctw: tjzf * nrzl
+bgbm: njgr * cpzc
+wtsv: mzzj * jgss
+jwdd: lhcr * djzs
+jstl: lllv + lfjs
+dssn: 7
+hqgn: 2
+mpbl: cqjn * gdnm
+smtv: tqzd * fjtt
+nzhg: mdgb * lzcr
+srhw: 6
+dblz: sdjg + gvmc
+rjsw: 2
+zzbn: wlsr + fsmb
+wtrj: rtlh * lfgl
+gvsm: 3
+jgsl: blls * fcpr
+lmjt: hmwv * jbzw
+lppg: 2
+lfjs: 4
+lwdd: 4
+wwgv: cjbm + btbf
+qcpl: lfcv + hzsr
+vttj: spsp * ngwq
+vpzl: 16
+nvls: mqlw + hnng
+phpm: nvzp * vrgt
+nthp: 2
+tcmc: 4
+fwph: 2
+lnvw: lnqw * bfsr
+wvbv: jnbq + cnfz
+hwjg: bgjv + dqmz
+wnzm: 1
+nwqc: vppj * mdlb
+mvtb: 4
+jphh: 2
+mhnr: 3
+zvjs: pnjm + dmjv
+gslg: 7
+jbzp: 2
+jzbt: dqpn / lqng
+gqcp: lnqr * vpnq
+hgvv: gbqg * lvng
+hlhb: whnb + nqzp
+nhsw: 5
+zcws: sznj + jzbt
+fghj: 13
+rpwt: wfnp * mhtt
+mjhd: zlbs * rwft
+gtwh: 4
+dgzv: thmh * jrgf
+rglw: bhnt * nssv
+qcrz: qpbv - lnrm
+vdqh: 9
+hfgq: 6
+sdsp: 1
+ffqb: 2
+jttq: 13
+zqjq: nwwl * ztlg
+tcjf: 7
+cnvt: jvjc * qfpp
+znjj: bnfl / nhmp
+nlds: vjgm + nvls
+rlmb: bzgd + cblr
+fwhd: 11
+vqlp: 10
+gpvh: 3
+fjfm: fcbw + wwvg
+nprr: 2
+fpjw: 5
+blwq: 4
+wnlm: fmmh * pshf
+hlhf: bvvs / tglq
+pzng: 1
+wfbq: ssrp + nvdr
+cgfc: hnhv + hhlj
+mvcg: 2
+sqlh: srwd * npmn
+jfcb: wtgm + wnlm
+rqnw: hmbb + pvfj
+wlsr: rlrl * wwgv
+vgrs: 5
+lqnv: wcht * jbsv
+fvqv: dvfr * zrpb
+gncz: tvjw * grjp
+mrzl: lvjv / wvbp
+sqhp: 12
+qlmn: lgtm + ptng
+jjqv: 5
+phnr: lzwb * phct
+jqpr: lbns * zlrm
+nzlq: fcgn * fsfp
+pjnn: cdcs + wtjn
+cdfd: 3
+sdmc: gsnc * tjgd
+tjzb: ftws - vnwr
+wwwg: 3
+rvsn: wwcg + smpd
+hlnh: rncc + qmcz
+llfr: 12
+qrzd: dqbf / gfbm
+lmhj: 4
+wvgm: ldmj * cbww
+dqmz: wfbb + zhnq
+dndp: pgvc * hsrq
+ztlg: 2
+lmhb: qqcj + pdqd
+vbfp: hwhm * hwjg
+bdrz: 3
+sfjb: zzpp * lnlp
+dmrp: 2
+qwmm: 4
+hzjf: 5
+vjbq: 8
+gwwq: mglm * mfdh
+pfnq: 4
+pcgq: 2
+rqrz: 10
+qwlc: 7
+cvsb: 3
+mdlb: rcrc / nzjl
+tsws: htrl * zgcs
+lnms: btgd + hbgz
+rmrr: szgq * rhvv
+jsmg: 2
+gmdd: qcpl * wwwg
+zvrd: qrzc * gtvm
+lcgc: 3
+tmwv: 3
+tzhr: vpzl - jztf
+lhth: znlp + mpvs
+tqrd: cdgc * lzzs
+mhqm: gbtz + nplp
+pgvc: 4
+vgrr: flbg + fjqw
+zvrh: 12
+zqmg: hptd + sjfd
+rjrh: sngl * whgm
+wwdw: hvbm + jlwc
+llsp: pbjd + hjhd
+lzzj: 2
+gdwf: 6
+hfhj: fdqw * qjwn
+bwvt: trfn * hphv
+ccbz: 4
+zbfv: hmpv * cgsm
+tvss: hqff * lhzf
+jlrs: vtsr * wzhb
+wnst: sgpw + fcll
+jbzw: svpd + trld
+qcbb: rwln * swzc
+hwhm: 2
+hrgr: 9
+wdjn: 3
+mqff: 1
+hdrv: lqvd * hcbm
+vslv: 9
+vjgm: 8
+zfgl: mljq + vdtn
+mtpv: mqrh + ncdq
+llct: 2
+fppn: 3
+cvgg: 1
+jqcr: qnqh * tzhr
+ccsb: wrwl * zqpr
+nfpw: 1
diff --git a/2022/tests/day21.txt b/2022/tests/day21.txt
index e69de29..e14be60 100644
--- a/2022/tests/day21.txt
+++ b/2022/tests/day21.txt
@@ -0,0 +1,15 @@
+root: pppw + sjmn
+dbpl: 5
+cczh: sllz + lgvd
+zczc: 2
+ptdq: humn - dvpt
+dvpt: 3
+lfqf: 4
+humn: 5
+ljgn: 2
+sjmn: drzm * dbpl
+sllz: 4
+pppw: cczh / lfqf
+lgvd: ljgn * ptdq
+drzm: hmdt - zczc
+hmdt: 32