solving a simple 4*4 Gridworld almost similar to openAI gym frozenlake using Temporal difference method Reinforcement Learning
Algorithm Flow
first we initialize a random policy that indicate prefered moves in every cell:
| D | | L | | R | | D |
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| U | | U | | R | | D |
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| D | | R | | R | | U |
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| U | | L | | R |
----------------------------
U = going up
D = going down
L = going left
R = going right
and we initialize Q table like:
(0, 0): {'D': 0, 'R': 0},
(0, 1): {'L': 0, 'D': 0, 'R': 0},
(0, 2): {'L': 0, 'D': 0, 'R': 0},
(0, 3): {'L': 0, 'D': 0},
(1, 0): {'U': 0, 'D': 0, 'R': 0},
(1, 1): {'U': 0, 'L': 0, 'D': 0, 'R': 0},
(1, 2): {'U': 0, 'L': 0, 'D': 0, 'R': 0},
(1, 3): {'U': 0, 'L': 0, 'D': 0},
(2, 0): {'U': 0, 'D': 0, 'R': 0},
(2, 1): {'U': 0, 'L': 0, 'D': 0, 'R': 0},
(2, 2): {'U': 0, 'L': 0, 'D': 0, 'R': 0},
(2, 3): {'U': 0, 'L': 0, 'D': 0},
(3, 0): {'U': 0, 'R': 0},
(3, 1): {'U': 0, 'L': 0, 'R': 0},
(3, 2): {'U': 0, 'L': 0, 'R': 0}}
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
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step:0
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
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| 0.0 | | 0.0 | | 0.0 | | 0.0 |
--------------------------------
| 0.0 | | 0.0 | | 0.0 | | 0.0 |
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| 0.0 | | 0.0 | | 0.0 | | 0.1 |
--------------------------------
| 0.0 | | 0.0 | | 0.0 | | 0.0 |
--------------------------------
----------------------------
step:100
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
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| 0.026012275504845712 | | 0.08885289070054438 | | 0.31226530150752957 | | -0.024786977375880693 |
--------------------------------
| 0.0008908501874592104 | | 0.06291967792871309 | | 0.84349452162495 | | 0.43539640063225415 |
--------------------------------
| 0.0 | | 0.15654607548449048 | | 2.0020346733409053 | | 3.7926076351359854 |
--------------------------------
| 0.0 | | -0.00072 | | 0.7121543661878007 | | 0.0 |
--------------------------------
----------------------------
step:200
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 0.3795875441432838 | | 0.6991492120115776 | | 1.2645298228093873 | | 0.10815998241652194 |
--------------------------------
| 0.022578486496616812 | | 0.39647178233187175 | | 2.05338168464567 | | 1.197459594418069 |
--------------------------------
| 0.0 | | 0.3716742452514141 | | 2.843783846486921 | | 4.200809984231413 |
--------------------------------
| -0.0400127008 | | 0.05500977619404736 | | 1.3262428996537865 | | 0.0 |
--------------------------------
----------------------------
step:300
| R | | R | | D | | L |
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| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
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| 0.9374486990718105 | | 1.3220965611506466 | | 1.8754176755005907 | | 0.2814431181067252 |
--------------------------------
| 0.10941495378856969 | | 0.6860396552916664 | | 2.518020456989545 | | 2.005789473630823 |
--------------------------------
| 0.0 | | 0.5189134522485985 | | 3.471504256528754 | | 4.458899607515437 |
--------------------------------
| -0.0400127008 | | 0.05500977619404736 | | 1.5007091502148615 | | 0.0 |
--------------------------------
----------------------------
step:400
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
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| 1.2285511426270412 | | 1.7227671178191266 | | 2.254719527673698 | | 0.3948583519796051 |
--------------------------------
| 0.3564473378858508 | | 1.0289010250551867 | | 2.763540750720418 | | 2.4088887070217604 |
--------------------------------
| -0.0007202286144 | | 0.9821329377002909 | | 3.42199080160048 | | 4.549964622130637 |
--------------------------------
| -0.07822227081250716 | | 0.08748939346140078 | | 1.9896695669278603 | | 0.0 |
--------------------------------
----------------------------
step:500
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
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| 1.5519814303543642 | | 1.9862855550823793 | | 2.3402863782530905 | | 0.7817621219154731 |
--------------------------------
| 0.5852352423942883 | | 1.3547635265199507 | | 2.942040736685975 | | 2.7139767903146947 |
--------------------------------
| -0.0007202286144 | | 1.0704184198044615 | | 3.8106954270548172 | | 4.504399564467179 |
--------------------------------
| -0.07822227081250716 | | 0.12426814704916482 | | 2.3086374994994037 | | 0.0 |
--------------------------------
----------------------------
step:600
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
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| 1.7111412672749062 | | 2.108246382511863 | | 2.50441743611798 | | 1.0704883543402977 |
--------------------------------
| 0.8082776811200897 | | 1.7169289054086683 | | 3.0254630900635333 | | 2.835242785304778 |
--------------------------------
| -0.0021138249167371287 | | 1.28808953184633 | | 3.815176405608271 | | 4.690302092261093 |
--------------------------------
| -0.11442099874937205 | | 0.1633382590991708 | | 2.584930731801839 | | 0.0 |
--------------------------------
----------------------------
step:700
| R | | R | | D | | L |
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| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
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| 1.8491110390516932 | | 2.1788215164015226 | | 2.6695172861536434 | | 1.1794277580691084 |
--------------------------------
| 0.9227234656959072 | | 1.904589319760103 | | 3.1655537611471476 | | 3.0547097436644814 |
--------------------------------
| -0.006719657719325485 | | 1.3073546295681406 | | 4.024804496989696 | | 4.8263643369719516 |
--------------------------------
| -0.1808998691424352 | | 0.29813845474559714 | | 2.947193114105866 | | 0.0 |
--------------------------------
----------------------------
step:800
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
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| 1.9804856581980501 | | 2.400805717178168 | | 2.861589774511544 | | 1.3158879308117706 |
--------------------------------
| 1.077611446891992 | | 2.081877616550027 | | 3.3997378205858237 | | 3.1120569862943466 |
--------------------------------
| -0.006719657719325485 | | 1.5148788818331789 | | 3.9784468760115574 | | 4.626867775518119 |
--------------------------------
| -0.1808998691424352 | | 0.29813845474559714 | | 3.106556289822498 | | 0.0 |
--------------------------------
----------------------------
step:900
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
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| 2.0453746594988753 | | 2.430780944743091 | | 2.78274059657772 | | 1.4868065870986555 |
--------------------------------
| 1.2080441155369541 | | 2.162055255124448 | | 3.2423854575956144 | | 3.352774204750204 |
--------------------------------
| -0.028657871951945052 | | 1.6708825094968385 | | 3.8733477231404176 | | 4.76662622993533 |
--------------------------------
| -0.2350957389641074 | | 0.3411578452036233 | | 3.389128106040918 | | 0.0 |
--------------------------------
----------------------------
step:1000
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
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| 2.0638851584424547 | | 2.3964463302595265 | | 2.7057034946449727 | | 1.6306508417394179 |
--------------------------------
| 1.386618576879537 | | 2.1687303113243543 | | 3.1497777726126714 | | 3.420543087293492 |
--------------------------------
| -0.032316437814260086 | | 1.8511870719320984 | | 3.860986953686102 | | 4.755910674064825 |
--------------------------------
| -0.2645648742366737 | | 0.37893816141214826 | | 3.654799751025675 | | 0.0 |
--------------------------------
----------------------------
step:1100
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
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| 2.0537272161424065 | | 2.4304125501965146 | | 2.8089011454363786 | | 1.6396214831405924 |
--------------------------------
| 1.4695375932124428 | | 2.2262137253172414 | | 3.2348607052248646 | | 3.5265587029703935 |
--------------------------------
| -0.03643227679423501 | | 2.1323882225450967 | | 3.8433939610720738 | | 4.722141708286746 |
--------------------------------
| -0.29245268984652156 | | 0.43947221752755355 | | 3.8083646087097387 | | 0.0 |
--------------------------------
----------------------------
step:1200
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 2.06810836981977 | | 2.39425516977435 | | 2.741912133902752 | | 1.8184966455606666 |
--------------------------------
| 1.5483817956852761 | | 2.3194857109503175 | | 3.3406461504867457 | | 3.585752165997799 |
--------------------------------
| -0.03643227679423501 | | 2.24182717675796 | | 3.994553369587223 | | 4.7764219556576 |
--------------------------------
| -0.29245268984652156 | | 0.43947221752755355 | | 3.9992994559301422 | | 0.0 |
--------------------------------
----------------------------
step:1300
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
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| 2.0884582209404567 | | 2.4456684850488677 | | 2.8857066238507425 | | 1.8998728775020695 |
--------------------------------
| 1.5717162058354117 | | 2.4129217454420515 | | 3.3062537794355777 | | 3.729864631193589 |
--------------------------------
| -0.04629125447790337 | | 2.196680491535763 | | 3.857646273455679 | | 4.597105082241745 |
--------------------------------
| -0.36232116235491885 | | 0.7323668637559092 | | 4.052403465614548 | | 0.0 |
--------------------------------
----------------------------
step:1400
| R | | R | | D | | L |
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| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.1714050042280975 | | 2.5095138704613653 | | 2.836802212759311 | | 1.9463466297048304 |
--------------------------------
| 1.5722714021541129 | | 2.570966801723427 | | 3.3672278995755978 | | 3.8312216049147656 |
--------------------------------
| -0.06332433374694559 | | 2.2505199532157123 | | 4.01447656742647 | | 4.525641366621889 |
--------------------------------
| -0.3935493793399403 | | 0.8494512534487643 | | 4.143447785593383 | | 0.0 |
--------------------------------
----------------------------
step:1500
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 2.1893012566849683 | | 2.5333804894165293 | | 2.9114467780455215 | | 1.9869791676873707 |
--------------------------------
| 1.6676367035195736 | | 2.5923329720210586 | | 3.348648439606155 | | 3.884628459596083 |
--------------------------------
| -0.06332433374694559 | | 2.3031729629861464 | | 4.018165699492697 | | 4.722157744367752 |
--------------------------------
| -0.3935493793399403 | | 0.8494512534487643 | | 4.182881523892219 | | 0.0 |
--------------------------------
----------------------------
step:1600
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 2.2281000308397245 | | 2.559874308687316 | | 2.8697291540329792 | | 2.0778170715265727 |
--------------------------------
| 1.7189684614202212 | | 2.6408066631671567 | | 3.28135710194414 | | 3.8967903186895607 |
--------------------------------
| -0.06332433374694559 | | 2.3690158657267557 | | 3.925502302250625 | | 4.630057701071106 |
--------------------------------
| -0.3935493793399403 | | 0.964366514015704 | | 4.154979794955975 | | 0.0 |
--------------------------------
----------------------------
step:1700
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 2.222121942564929 | | 2.525713185983246 | | 2.8463065699530237 | | 2.104538730465739 |
--------------------------------
| 1.785707649881144 | | 2.6566295955612875 | | 3.26785266282995 | | 3.9379540854517248 |
--------------------------------
| -0.06332433374694559 | | 2.536628730050737 | | 3.834709706368889 | | 4.66253905748329 |
--------------------------------
| -0.3935493793399403 | | 0.964366514015704 | | 4.253629417288097 | | 0.0 |
--------------------------------
----------------------------
step:1800
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.1974448561187514 | | 2.5152046143336344 | | 2.8333600238738432 | | 2.1418432598366426 |
--------------------------------
| 1.8330577631345617 | | 2.644293024547355 | | 3.2031608326776144 | | 3.918019472996897 |
--------------------------------
| -0.08007857500608405 | | 2.576651931490971 | | 3.9683021165819277 | | 4.482879086199157 |
--------------------------------
| -0.3955603199940009 | | 0.964366514015704 | | 4.3253401081669764 | | 0.0 |
--------------------------------
----------------------------
step:1900
| R | | R | | D | | L |
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| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 2.209144285007248 | | 2.5163104954031303 | | 2.85633182085655 | | 2.211758234340188 |
--------------------------------
| 1.88080729165131 | | 2.6576371224248123 | | 3.3824366927625937 | | 3.8525557456924906 |
--------------------------------
| -0.08007857500608405 | | 2.692124961438562 | | 3.866695853160625 | | 4.7256888659593805 |
--------------------------------
| -0.3955603199940009 | | 1.0213994707535872 | | 4.255215626546297 | | 0.0 |
--------------------------------
----------------------------
step:2000
| R | | R | | D | | L |
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| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 2.2416286008721964 | | 2.5571186916204742 | | 2.960921063063906 | | 2.2464261858307277 |
--------------------------------
| 1.9117083949713671 | | 2.71824674821634 | | 3.401485079857313 | | 3.9030405657409544 |
--------------------------------
| -0.08007857500608405 | | 2.6505117424618314 | | 4.015752814053215 | | 4.529291294701698 |
--------------------------------
| -0.3955603199940009 | | 1.0786075457805084 | | 4.3535090424604554 | | 0.0 |
--------------------------------
----------------------------
step:2100
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 2.25551663468766 | | 2.588970056477259 | | 2.862910538317157 | | 2.3190400827368 |
--------------------------------
| 1.8701049561303107 | | 2.7692101995575342 | | 3.3796671373301406 | | 3.957734389077514 |
--------------------------------
| -0.09123336268039858 | | 2.7354782316281194 | | 3.989252171299937 | | 4.6827356347423015 |
--------------------------------
| -0.42089293292656094 | | 1.1237488220833436 | | 4.4387646927468 | | 0.0 |
--------------------------------
----------------------------
step:2200
| R | | R | | D | | L |
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| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 2.2959893086286725 | | 2.6153422702424534 | | 2.981211416064012 | | 2.3814609361219268 |
--------------------------------
| 1.897903743801355 | | 2.828618178935658 | | 3.4614502929068403 | | 3.9450338711031203 |
--------------------------------
| -0.0969847682194687 | | 2.729316553011482 | | 3.9188592188317863 | | 4.470457733288336 |
--------------------------------
| -0.43224759547052954 | | 1.181850402819875 | | 4.497206972996758 | | 0.0 |
--------------------------------
----------------------------
step:2300
| R | | R | | D | | L |
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| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 2.330668848641675 | | 2.644940614430643 | | 2.9798876813413373 | | 2.3826790696447073 |
--------------------------------
| 1.8862250583148212 | | 2.7947426271828673 | | 3.371199817259146 | | 3.8934746291465117 |
--------------------------------
| -0.10282552957354886 | | 2.713689654929019 | | 4.0078321953425515 | | 4.810823340567074 |
--------------------------------
| -0.4423293363103612 | | 1.2251250018669932 | | 4.589181490142975 | | 0.0 |
--------------------------------
----------------------------
step:2400
| R | | R | | D | | L |
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| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.3028237819707535 | | 2.6554888945534203 | | 3.0289491913478317 | | 2.392312706971362 |
--------------------------------
| 1.8555146474799293 | | 2.814087966623228 | | 3.4198047853717872 | | 3.9519646885399196 |
--------------------------------
| -0.11485319315910333 | | 2.7984238194726783 | | 4.145743026167115 | | 4.831847508611819 |
--------------------------------
| -0.47788647213383173 | | 1.3321489040529804 | | 4.523692532873715 | | 0.0 |
--------------------------------
----------------------------
step:2500
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.3356651087560754 | | 2.683349855333285 | | 3.0265980211825094 | | 2.407878197644426 |
--------------------------------
| 1.7860776680357946 | | 2.8862732343535327 | | 3.408799759853414 | | 3.9518895109277254 |
--------------------------------
| -0.13987653207822034 | | 2.9021639580834186 | | 3.9112283830933348 | | 4.681274717252181 |
--------------------------------
| -0.4946435827907281 | | 1.4617419369226707 | | 4.594775219589367 | | 0.0 |
--------------------------------
----------------------------
step:2600
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2847096661845554 | | 2.638676475858352 | | 2.994758739365008 | | 2.4546466101804727 |
--------------------------------
| 1.8213668113838914 | | 2.920594981124154 | | 3.41739663619113 | | 3.9354021854616086 |
--------------------------------
| -0.15203484262121675 | | 2.9519764378849915 | | 3.9881361953991323 | | 4.700546494431717 |
--------------------------------
| -0.5011967342064365 | | 1.5681809952624017 | | 4.633708893608115 | | 0.0 |
--------------------------------
----------------------------
step:2700
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.3148357688871615 | | 2.6120107264599324 | | 2.8581718046082565 | | 2.461183980350833 |
--------------------------------
| 1.8806174678641439 | | 2.9126412684874086 | | 3.3125467709186105 | | 3.92710892987151 |
--------------------------------
| -0.15801568698450827 | | 2.9371578324615437 | | 3.9724752031490427 | | 4.663236229556999 |
--------------------------------
| -0.5029455416075845 | | 1.6202241354420999 | | 4.700713497562438 | | 0.0 |
--------------------------------
----------------------------
step:2800
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
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| D | | R | | R | | D |
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| R | | R | | R |
----------------------------
| 2.250779450936691 | | 2.597859594429423 | | 2.9455931266829394 | | 2.460059494016751 |
--------------------------------
| 1.891173754372728 | | 2.9263313241713993 | | 3.415217470937708 | | 3.9943688613684554 |
--------------------------------
| -0.16390839299375462 | | 2.9100248982949446 | | 4.033970566718138 | | 4.684413045103019 |
--------------------------------
| -0.502782845853024 | | 1.72317280222733 | | 4.708182049200756 | | 0.0 |
--------------------------------
----------------------------
step:2900
| R | | R | | D | | L |
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| U | | R | | D | | D |
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| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.283423666442579 | | 2.58564316536397 | | 2.9199013700688536 | | 2.4369047448340977 |
--------------------------------
| 1.8552835544550195 | | 2.8758637925569923 | | 3.3271026950027234 | | 4.005666691401718 |
--------------------------------
| -0.09786675338561203 | | 2.8576829017518253 | | 3.9908424823788415 | | 4.715802967823407 |
--------------------------------
| -0.502782845853024 | | 1.7735616775306848 | | 4.741495291685145 | | 0.0 |
--------------------------------
----------------------------
step:3000
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2818253663210477 | | 2.6185191076212107 | | 2.9671819372751127 | | 2.4641978515271155 |
--------------------------------
| 1.8893890052643765 | | 2.6997780422572557 | | 3.406895953883866 | | 4.050225031334686 |
--------------------------------
| -0.09786675338561203 | | 2.964233477212128 | | 4.100622785640691 | | 4.667669062316396 |
--------------------------------
| -0.502782845853024 | | 1.7735616775306848 | | 4.771005573721815 | | 0.0 |
--------------------------------
----------------------------
step:3100
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2409867731430384 | | 2.5879048008865566 | | 2.9684652650562247 | | 2.4892521009290594 |
--------------------------------
| 1.9093308354469036 | | 2.7345865789031256 | | 3.3905518178248295 | | 4.047082249237818 |
--------------------------------
| -0.11187477476971654 | | 2.9702146251128965 | | 4.028856419308793 | | 4.670852485266842 |
--------------------------------
| -0.49273190692600055 | | 1.913987251961752 | | 4.592487625947743 | | 0.0 |
--------------------------------
----------------------------
step:3200
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.3168885215446946 | | 2.6338400561031907 | | 2.944426663869434 | | 2.506451885846339 |
--------------------------------
| 1.8921672481356149 | | 2.783137216470791 | | 3.379214119082044 | | 4.037221094111107 |
--------------------------------
| -0.10168653307713064 | | 2.9886937989461373 | | 3.9701514453941114 | | 4.6973962838967 |
--------------------------------
| -0.4876619842437583 | | 1.9983297036225975 | | 4.512891037381999 | | 0.0 |
--------------------------------
----------------------------
step:3300
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2979750563019206 | | 2.5856333280821193 | | 2.952141618749421 | | 2.5092901668978635 |
--------------------------------
| 1.9220260278573722 | | 2.8001204998367513 | | 3.301085378014462 | | 3.941614704857609 |
--------------------------------
| -0.10843071813197568 | | 2.9720036142877713 | | 4.081631123689444 | | 4.65277624389716 |
--------------------------------
| -0.4819388098936764 | | 2.0395951482230217 | | 4.5410738224349725 | | 0.0 |
--------------------------------
----------------------------
step:3400
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2943445653176053 | | 2.608676974954453 | | 2.9307182967473384 | | 2.5111417717737226 |
--------------------------------
| 1.9334894855000913 | | 2.834175301938307 | | 3.350988921819594 | | 4.0040811483440395 |
--------------------------------
| -0.11493700234742234 | | 3.0247640785241536 | | 3.7872881780874694 | | 4.545986628026715 |
--------------------------------
| -0.47558732102778845 | | 2.081485592618611 | | 4.609562578032872 | | 0.0 |
--------------------------------
----------------------------
step:3500
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.234631867766403 | | 2.5699626208588846 | | 2.853277604533315 | | 2.4787177880488587 |
--------------------------------
| 1.8276629780806632 | | 2.8476905497243763 | | 3.154927361127724 | | 3.9223025214618548 |
--------------------------------
| -0.1384563273906389 | | 3.0548918001366174 | | 3.8511424341833904 | | 4.554038772734177 |
--------------------------------
| -0.44413814690075387 | | 2.2435508309947494 | | 4.6676806279554395 | | 0.0 |
--------------------------------
----------------------------
step:3600
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2279400918451597 | | 2.55056698732247 | | 2.8915115896497787 | | 2.495619697287173 |
--------------------------------
| 1.8642739652643958 | | 2.8089372994854402 | | 3.349669392787899 | | 3.882735128847659 |
--------------------------------
| -0.1384563273906389 | | 3.0338238069721295 | | 3.8720139450463953 | | 4.525287210781496 |
--------------------------------
| -0.44413814690075387 | | 2.319217873567548 | | 4.622547178671772 | | 0.0 |
--------------------------------
----------------------------
step:3700
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2518173535763832 | | 2.5787594586272617 | | 2.936004305940645 | | 2.5138151396213977 |
--------------------------------
| 1.8607027260595352 | | 2.781335957489635 | | 3.4136048659693774 | | 3.9294613079507505 |
--------------------------------
| -0.1436816874870397 | | 3.057888346812081 | | 4.08813701298765 | | 4.753710501936774 |
--------------------------------
| -0.43350946223852294 | | 2.3561752483279674 | | 4.637494310396369 | | 0.0 |
--------------------------------
----------------------------
step:3800
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2694315309198925 | | 2.6252149912216565 | | 2.952221655806219 | | 2.5220957006804547 |
--------------------------------
| 1.8547265451266775 | | 2.7979520412063605 | | 3.4192388914965433 | | 3.994871788065981 |
--------------------------------
| -0.1486112240575923 | | 3.122729423705193 | | 4.090974342596318 | | 4.659405611584359 |
--------------------------------
| -0.42242811852384904 | | 2.3929103691712386 | | 4.665636294090769 | | 0.0 |
--------------------------------
----------------------------
step:3900
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.285650873183429 | | 2.6021994983768097 | | 2.9388257916356366 | | 2.5323135640895504 |
--------------------------------
| 1.9058729884740095 | | 2.8207971806435896 | | 3.37149842340012 | | 3.9362916182843244 |
--------------------------------
| -0.1486112240575923 | | 3.181229606613334 | | 3.921062824620547 | | 4.3258266321017915 |
--------------------------------
| -0.42242811852384904 | | 2.3929103691712386 | | 4.686445967692615 | | 0.0 |
--------------------------------
----------------------------
step:4000
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.249942298382279 | | 2.5741553438043123 | | 2.8536576925548176 | | 2.5280724651270234 |
--------------------------------
| 1.9734974600058297 | | 2.8387605218392378 | | 3.331978136650207 | | 3.919899219632974 |
--------------------------------
| -0.1486112240575923 | | 3.198171089541271 | | 3.8410697406183547 | | 4.597362055915224 |
--------------------------------
| -0.42242811852384904 | | 2.3929103691712386 | | 4.716571989276855 | | 0.0 |
--------------------------------
----------------------------
step:4100
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.254118682938152 | | 2.563957575463326 | | 2.8984802108406473 | | 2.5226293913114874 |
--------------------------------
| 1.845030951230756 | | 2.8301684262421776 | | 3.259027625760046 | | 3.887756101284385 |
--------------------------------
| -0.0906107138290735 | | 3.219050472082059 | | 3.8256210176631247 | | 4.62585767582778 |
--------------------------------
| -0.3918187614535082 | | 2.4979355768019964 | | 4.666334021558213 | | 0.0 |
--------------------------------
----------------------------
step:4200
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.280096652793734 | | 2.5628340947250887 | | 2.910526061164713 | | 2.5302796567424073 |
--------------------------------
| 1.8293725190517067 | | 2.797007731669185 | | 3.437173321617448 | | 3.9175161895235124 |
--------------------------------
| -0.05779778503959636 | | 3.122300478549357 | | 3.964260237814277 | | 4.72268632969544 |
--------------------------------
| -0.36789544818729564 | | 2.508746978214801 | | 4.604674712544526 | | 0.0 |
--------------------------------
----------------------------
step:4300
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.294846952408533 | | 2.610582727066826 | | 2.9386932712251332 | | 2.5343616521163415 |
--------------------------------
| 1.8590377417275377 | | 2.820752659868471 | | 3.4224965742316265 | | 3.951135086380666 |
--------------------------------
| -0.05779778503959636 | | 3.161101562089526 | | 4.003233712329802 | | 4.734643058610507 |
--------------------------------
| -0.36789544818729564 | | 2.508746978214801 | | 4.635364542008224 | | 0.0 |
--------------------------------
----------------------------
step:4400
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.267685589234615 | | 2.617614911788245 | | 2.9567076267286825 | | 2.547014291866991 |
--------------------------------
| 1.8280732103730708 | | 2.8493470329660595 | | 3.416608329848797 | | 3.92799750962139 |
--------------------------------
| -0.03528918308289623 | | 3.1238040937028027 | | 4.076294209779394 | | 4.454053575132283 |
--------------------------------
| -0.34256976251937654 | | 2.5401584631633636 | | 4.608506250521682 | | 0.0 |
--------------------------------
----------------------------
step:4500
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2955282286326217 | | 2.605672041695138 | | 2.945572852695414 | | 2.552102169887071 |
--------------------------------
| 1.8766146548838845 | | 2.8922769909376442 | | 3.5188372352550927 | | 3.937645009426949 |
--------------------------------
| -0.03528918308289623 | | 3.153504338874 | | 4.010930491761269 | | 4.587771059284745 |
--------------------------------
| -0.34256976251937654 | | 2.5401584631633636 | | 4.624009403001023 | | 0.0 |
--------------------------------
----------------------------
step:4600
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.3066347669493537 | | 2.625575734935165 | | 2.930066073966142 | | 2.542427303617948 |
--------------------------------
| 1.8884703784617818 | | 2.887682625901573 | | 3.2632562789022463 | | 3.950434211689313 |
--------------------------------
| -0.040749655146587085 | | 3.1747934875728117 | | 3.889485984571322 | | 4.575268994015025 |
--------------------------------
| -0.3299955149320485 | | 2.5731128623077337 | | 4.660134279971377 | | 0.0 |
--------------------------------
----------------------------
step:4700
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2508880446496398 | | 2.5472274032513416 | | 2.862802775124169 | | 2.5486661696865642 |
--------------------------------
| 1.9325505683397801 | | 2.8177589419666305 | | 3.3417176834748705 | | 3.9839480811744905 |
--------------------------------
| -0.040749655146587085 | | 3.2062455134476697 | | 4.012955493773023 | | 4.66029819912978 |
--------------------------------
| -0.3299955149320485 | | 2.5731128623077337 | | 4.658027459171573 | | 0.0 |
--------------------------------
----------------------------
step:4800
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2213332073497774 | | 2.592190370517068 | | 2.9880011097949626 | | 2.5550376908312677 |
--------------------------------
| 1.9187489266124547 | | 2.8124298161248005 | | 3.469643030166058 | | 3.902822315273502 |
--------------------------------
| -0.04587458131243222 | | 3.173868163866955 | | 4.0310508387753945 | | 4.637236095047366 |
--------------------------------
| -0.31649447686346294 | | 2.6674746749140112 | | 4.592569849100079 | | 0.0 |
--------------------------------
----------------------------
step:4900
| R | | R | | D | | L |
----------------------------
| U | | R | | D | | D |
----------------------------
| D | | R | | R | | D |
----------------------------
| R | | R | | R |
----------------------------
| 2.2759114493372303 | | 2.6118349776044245 | | 2.9287682300444695 | | 2.5761326979187587 |
--------------------------------
| 1.9708340645032496 | | 2.7074982618408385 | | 3.2549557123758954 | | 3.9208643731108834 |
--------------------------------
| -0.050653990269725904 | | 3.1161833379761843 | | 3.8713826309499386 | | 4.598133848802746 |
--------------------------------
| -0.3011309751263997 | | 2.751054898945296 | | 4.53434339726199 | | 0.0 |
--------------------------------
----------------------------
exploited:30027 explored:7415