Aphrodisiacal Emoji Combos

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stiftuo tac dna ,siknib dna ,tiftuo diam a tpecxe .niaga sehtolc erow reven .lrig oken a ruoy …efil ruoy fo tser eht rof .yot a sa uoy gnisu .htiw dekcom dna dlos gnieb uoY ,rof ereht .cilbulp ot da na sa ti stsop dna xes hsrah eht fo tib yreve sdrocer eH .yssup ruoy ni kcid sih htiw gnola yot xes eht gnigulP .aremac eht pu stes eH .nwod uoy mlac ot syas eh “ eltneg og llI “ naom dna yrc uoy .klim gnitcelloC .nac eh sa drah sa stit ruoy skcams eH .eniw fo ssalg a guhc uoy sekam eH .htuom ruoy no ti gnivael tub epat tcuD eht ffo sekat eh sa teef ruoy yb uoy sbarg nam ehT * retal snim 01 * ..htuoM dna .ssiP .stiT ruoy revo epat tcud htiW deit llits era uoy .teY .ssa yciuj gib ruoy erimda dna uoy revocnu slrig ehT .meht htiw gnola uoy sworht eH ) ’hcnI 02-81 ( sbooB tnaiG htiw slrig yxeS ees uoY ..?enod eh sah tahW .slrig gnuoy dekaN .slrig okeN fo scip si erehT .dias eh tahw staht ..ro .. “ namoW fo dehS “ eht sretne eH .sgab eht htiw gnola uoy seirrac eh ?esuoh a si ereht .erehT .sdoow eht ot sevird eh .nwot wen elohw a otnI .gnivird fo sruoH …trats eht tsuj si siht tub …uoy revo teknalb a evah uoy yhw staht .gnihtyna gniraew ton ruoy eciton osla uoY .yawa gnivird strats eh .revocsid uoy sa revihs uoy �� ..aremac a dna .syot xes emos dna ikniB a htiw .gaB a ees uoY “ smeti eht htiw ydaer lla sehS “ ..eton a htiw knurt sesle enoemos ni uoy stup eH .yenom fo nruter ni .uoy segnahcxe eh �� yssup tew .thgit ruoy ni yot emos htiw pu deit erew uoy sA .uoy revo teknalb a dah uoY .pu uoy sekcip nam ehT ✋ .tnelils yats uoy .redrah tola siht ekam lliw uoy ro .maercs tnoD “ .knurt eht senepo nam eht .desarrah dna depar fo elttil a saw ti ?delliK ?desarraH ?depaR teg i lliW .kniht uoy sa ..sdlofdnilb gniraew .ohw gniwonk ton ..knurt senoemos ni era uoY * YROTS XES EURT NO DESAB * .edis s”redneGynAtpeccAI “ no mi os ,reh dedneirf I .721legnA_lacolrU dneirF *

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ýßąß･:*࿔ೃ.��.°˖༄ �� ×͜×⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠉⠋⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⢀⠁⠞⠤⡤⣀⣀⣀⣀⣀⣀⣀⣀⢠⠀⠀⠀⠀⠀ ⠀⠀⠃⢰⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠆⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⡽⠧⠿⠿⠏⠸⠻⠀⠀⠀⠟⣍⣹⡿⣿⢽⠯⠴⠀⠀ ⠂⠻⠙⡈⣄⣤⣭⣭⠭⢩⠀⠀⠀⡍⠭⣭⣭⣤⣠⢉⠋⠟⠘ ⠀⣀⣤⣴⣤⣤⣤⣠⣀⣀⢀⠀⠀⣀⣀⣄⣤⣤⣤⣤⣀⣀⠀ | | |　　│ 　 　 ﾉ 　　ヽ 　/ 　　　 | 　 　　　/ 　 　　 ノx＿ミ `／　　　 　 l _ 　_　 |　　　　　 フ　　＞／⠀⠀⠀⠀⠀⠀⠀ ➰️〰➰ �🮀� HSHAHA GNITHGIF LPP ETEHT ERA YHW YFOOG OS SI PPA SIHT PLEH

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⠀⢀⠀⠀⠀⠂⠔⠤⣀⣀⠀⢀⠀⠉⠉⠀⠖⢠⠁⣞⠀⠉⠈⠐⠂⠀⣿⠐⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠹⠉⠉⠈⠻⠾⣠⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⢸⠀⠉⡀⣀⠀⡀⣋⠻⠙⠀⠀⠀⠀⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⠀⠀⠀⠀⠀⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⣴⠣⠓⠀⠀⠀⡇⣿⣿⣿⣿⠻⠈⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢿⠤⡤⣀⣇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⡀⢾⠑⠉⠉⡆⣿⣿⣿⣿⣿⣿⣿⠭⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠆⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⡼⠟⠤⡾⢀⠄⢠⣁⣼⣀⣧⣿⣿⣿⣿⣾⣧⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠀⠀⠀⠃⡿⡴⢁⡞⢀⠀⠀⠁⡞⠀⠀⠀⡄⣷⣿⣸⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠋⣴⣀⠋⡼⢀⠀⠀⠁⡼⢀⠀⠀⠀⠀⠀⣅⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡾⢀⠀⠇⣠⢳⠀⠉⠞⣠⠀⠀⠀⠀⠀⠀⠀⡃⣸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣶⠷⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡏⢀⠀⠀⡄⠲⡖⡤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠁⠀⡔⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡎⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡸⣀⣋⠛⠈⡄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⢀⠀⣀⣀⣀⣀⠤⠶⠲⠓⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠇⣾⣦⣿⠙⡉⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣼⣀⣀⣏⠼⠤⠧⠀⢸⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣤⢿⡴⢹⢿⡟⡀⣧⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠶⠛⣽⣉⣉⣄⣿⢀⡀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⡄⣿⢀⠃⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠒⠓⠚⠒⠙⠉⠈⠀⡀⢻⠙⡉⣀⣿⠈⠀⣄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠈⠀⠁⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⡀⢦⠙⣼⡄⠳⡎⣖⣿⢠⠀⠀⣆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢅⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠾⠈⣇⠺⡀⢷⠚⠓⠛⡟⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⢠⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠿⣠⠀⠄⣠⠀⠀⡀⣆⣽⣐⠠⠙⠀⠀⠀⠀⠀⠀⠀⠀⠋⠶⠙⠈⠀⠀⠀⠀⠉⠛⠴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣉⠛⠛⠀⠀⠀⠙⠈⠀⣦⣶⣿⣿⠿⠻⠘⠒⠛⠒⠶⣹⢀⠀⠀⣿⣀⠤⡤⣀⢞⠤⠦⠿⠶⠿⠙⠀⠀⠀⠀⠋⠟⠤⠤⠤⠷⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⡿⣿⠉⠏⠾⣶⣷⢿⠿⠛⠙⠉⡈⣄⢳⠀⠀⠀⠀⣧⠀⠀⠀⡆⠘⠀⠀⡆⢸⠀⠀⣏⣼⠳⣈⣄⠦⠛⡼⣀⢀⠀⠀⠀⠀⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠾⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⡄⠸⠀⠀⠀⢧⠀⠀⠀⢧⢰⠀⣸⢸⢸⣄⠳⠉⣼⠀⠀⠀⠀⠀⠀⠀⡟ ⠀⠀⠀⠀⠀⠁⠉⠉⠉⠀⠉⠛⠉⠋⠛⠀⠀⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢘⠀⠀⠀⠀⠀⢣⠉⠛⠿⡿⠘⠀⠀⠀⣷⡖⢸⢸⠀⠀⠁⡟⠀⠀⠀⠀⠀⠀⠃⡾⣶ ⠀⠀⠀⠀⠀⡄⣤⣦⣷⠉⣆⣿⣭⣞⣶⠀⠀⡄⣿⠒⠙⠓⣶⣻⠉⡋⣿⣬⣯⣿⣿⣿⣼⢀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⠘⠀⠀⡀⢢⣗⠟⠀⠀⠀⣇⠀⠀⠀⠀⠀⠁⣽⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⠿⡿⠾⡟⣿⣿⠠⠀⠀⠀⣿⠳⣍⣥⣭⣿⣿⣿⣿⡶⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⠙⠀⠀⠀⠀⣀⢦⠙⠀⡄⠹⠀⠀⠁⠟⣰⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⣤⣤⢰⠀⠀⠀⣿⠀⡀⣄⣿⣿⣼⣀⠀⠃⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣾⣠⢦⠙⠀⠀⠀⠀⡀⢦⠓⡪⢗⡬⣀⣄⠳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠇⣿⣧⢸⠀⠀⡿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣠⠀⠀⠀⡀⢄⠓⠈⠀⠀⠀⠀⣄⠦⣙⢌⠤⣄⠳⠙⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀⡿⣰⡀⢸⠀⡟⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠲⠈⠀⠀⠀⠀⠁⡟⠿⠻⠛⠛⠛⠾⡤⣀⠦⠓⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⣼⠀⠀⢸⡏⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠉⠀⠀⡟⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡀⢤⠲ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢠⠀⠀⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠒⣿⣿⣿⣿⣿⣿⣿⢻⠈⠀⠀⠀⠀⠈⠴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⣤⣤⣶⣶⣶⢶⠤⣤⢀⠀⠀

⡄⣳⣿⣹⡟⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣾⣠ ⠃⡿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡞⣶⣾⣴⣀⠄⠄ ⡿⣿⣿⡇⣿⣿⣿⣹⣿⣿⣿⣿⠻⠈⠄⠄⠄⠄ ⠋⠟⠿⠿⠿⠻⣌⣿⣿⡎⣿⣿⣿⣾⡵⣭⡭⣍⣭⢮⠄⠄⠄⠄ ⡟⣿⣿⣿⣿⣿⣿⣿⡹⣷⣿⣾⣫⢟⣿⣿⣿⣿⣿⣿⣿⢿⠻⠄⠄ ⣶⣶⣿⣿⣿⣿⣿⣿⣿⢿⣎⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠄ ⠁⠈⠄⣇⣿⣿⣿⣿⣿⣿⢿⡎⣿⣿⣿⣼⣀⣀⣀⣀⣧⣿⣿⢠⠄ ⡀⣤⠄⡆⣶⣶⣿⣿⣿⣿⣿⢻⣅⣷⣿⢻⠈⠖⠶⠙⡟⣾⢉⠄⠄ ⡀⣚⣦⣷⣿⣿⢿⣙⣷⣿⣿⣿⣾⣫⡅⣷⠸⠄ ⠉⠟⡿⡇⢿⣜⣿⣿⣿⡶⣭⣿⣿⢿⣿⡇⡻⢨⠄ ⠋⡿⣿⣿⣿⣿⣿⣾⣤⢀⡄⡆⡽⣓⣭⣷⣿⣿⣿⣿⠘ ⠋⡿⣿⣿⣿⣿⢡⣀⣀⠄⠄⠋⠿⣿⡻⣪⣿⡄⣸⣧⣿⣿⣿ ⡟⣿⣿⣿⣿⣴⢀⠄⣱⠑⠞⡿⣿⣓⣛⣿⣿⡹⢇⠹⡇⣿⣿⣿ ⡏⣿⣿⣾⣭⢛⠛⠛⠛⡇⡄⠉⠄⢁⢦⣤⣥⣿⣴⠘⢩⡇⣿⣿⣿

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⠀⠀⠀⠀⠀⠀⠀⡃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣿⣾⣶⣤⣠⣀⢀⠀⠀⠀⠀⡁⣋⡿⣿⣿⣾⢠⠀⠀ ⠀⠀⠀⠿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣾⣴⣄⣷⣿⣿⣴⢀⠀⠀⠀ ⠀⠀⠀⣦⣿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⣸⢀⠀⠀⠀⠁⣈⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⣀⣦⣷⣿⢿⠛⠀⠀⠀⠀⠉⠀⠀⠀⠀⠃⡿⢿⠻⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠙⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⠀⠉⣏⣿⣿⠿⡿⣿⣿⣿⠐⠀⠀⠀⡄⣤⣀⣀⣀⣤⣤⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⠰⠀⠀⠀ ⠀⠀⠉⡿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⣿⣿⣾⢠⠀⠀⠀⠀ ⠃⡿⣿⣿⣿⣿⣿⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⢘⠀⠁⠘⠀⠀ ⡄⣦⣿⣿⣿⣿⢻⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⠛⣿⢸⠀⠀ ⠀⠀⡀⣄⣤⣶⣶⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠁⠈⣷⣿⣠⠄⠤⠤ ⢸⠀⠀⠀⠀⠀⠇⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢦⠓⠉⠞⣠⠀⠀⠁⠉⠛⠛⠓⣸⢠⡇⣿⠀⠀⠀⠀ ⣧⠻⠙⠈⠀⠀⡿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠟⡷⣿⣿⣿⢰⠁⣏⠘⡇⣿⡿⠠⠀⠀ ⡇⣿⣿⣿⣿⣿⣿⣽⠉⠉⠀⠉⠚⠒⠛⠛⠟⠿⠿⠿⣸⠀⠀⠀⠀⢿⠒⣴⣤⣤⣠⢀⠀⢠⡿⣿⣿⡿⢰⠀ ⡇⠈⣀⣄⣤⣷⣿⣾⠀⡇⣰⠀⠀⠀⡀⣦⣿⣿⣿⢶⢼⠀⠀⠀⠀⣄⠑⠀⠀⠀⠀⠁⠜⡟⣿⣿⣿⣼⠀⠀ ⡀⢳⠀⠀⠀⡇⣿⠀⠀⣧⠚⠒⠒⠔⠤⡤⣀⢀⠀⠏⢀⠀⠀⠀⠀⠀⠀⢄⠀⠁⠤⠏⣿⣿⣿⣿⣿⢀⠀⠀ ⠀⡀⢿⠻⠛⡟⣿⠀⠀⡀⢳⠈⠀⠀⠀⠀⠀⠁⠔⢀⠀⠀⠀⠀⠁⠉⠛⠿⡿⣿⠏⣿⣿⣿⣿⣿⢠⠀⠀⠀ ⠀⠀⣧⣿⣿⣿⣿⠙⠉⠉⠉⣉⠯⠉⠉⠉⠉⠛⠈⠀⠟⠿⠿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣿⣾⢰⠀⠀⠀⠀ ⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⣿⣿⣿⣿⣵⠟⠀⡇⣿⣿⣿⣿⣿⣹⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡴⢀⠀⠁⡀⣆⣿⣿⢀⠁⢸⠀⡀⠠⠀⠀ ⠀⠀⠀⠛⡛⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣷⣿⣻⣿⣿⣼⢀⠁⠈⠁⠖⣤⠷⠒⣿⢸⠀⣹⠀⠀⠇⠀⠀⠀ ⠀⠀⠀⣹⣉⣿⣿⣿⢿⠈⠀⣀⣀⣤⣤⣦⣶⣿⣿⣿⣿⠛⠿⡾⠄⣨⠀⠀⡆⣧⣸⢸⠀⣇⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣁⣉⣯⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⣿⣹⢀⠀⠀⢀⠀⠟⢿⣿⠀⢠⠀⠖⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⣻⣓⣛⣐⣆⣿⣿⢹⠀⠀⠀⠀⠀⡇⣿⣿⠀⣿⣿⢹⠀⠀⠀⠃⣿⣿⢠⠀⠀⠀⠛⠐⠀⠀⡤⢀⠀ ⠀⠀⠀⢣⠟⡿⠘⠀⣆⣿⣿⠹⠀⠀⠀⠀⡿⣿⣸⣧⣶⣿⣿⠈⠀⠀⡿⣿⣸⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢦⠘⣂⠘⠀⠀⣇⣿⣿⠹⠀⠀⠁⣿⣿⢦⣄⠳⡟⣿⢻⠀⡏⣿⣿⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠆⠔⠒⠛⠘⠀⣠⣄⣿⣿⠻⠀⡏⣿⢸⠀⠀⠀⡀⣧⣿⠿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠊⠤⠀⣀⢀⠀⣀⠀⠢⠈⠁⠔⡀⣀⣀⣀⢀⠢⠈⠀⠀ ⠀⠀⠀⠁⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡨⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀ ⠀⠀⠁⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀ ⠀⠁⢳⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀⠁⢀⠀ ⠁⠰⠀⠀⡀⣀⣤⠤⠤⠷⠛⠚⠒⠒⠓⠛⢹⠉⠛⠛⠟⠼⣤⣠⢣⠀ ⡇⠙⠀⠀⠀⠀⠊⠤⣀⢀⠀⠀⠀⠀⠀⠄⡂⣹⣀⢀⠀⠀⣀⠤⡓⠸ ⡇⠶⠶⠶⡶⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠻⠀⠀⠀⠀⠀⠀⢡ ⠆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⡇ ⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣰⠀⠀⠀⠀⠀⠀⡌ ⠀⠀⡀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠎⢠⠀⠀⠀⠀⠀⠁⠔⠀ ⠀⠀⠀⠀⢀⠿⠛⠙⠉⠀⠀⠀⠁⠉⠛⡩⠀⠀⠀⠀⠉⠋⠹⢀⠀⠀ ⠀⠀⠀⠇⣠⣇⡍⣀⣀⣀⣀⣀⣄⣳⠉⡁⣰⣀⣀⣀⣇⣡⣰⠀⠀⠀ ⠀⠀⠀⠀⢈⠔⣷⠿⠾⠓⠛⠛⠐⡇⠀⣀⠄⠧⠔⠧⣠⢀⠀⠀⠀⠀ ⠀⠀⠀⡟⠀⠀⠀⣄⢹⠣⡏⢠⠀⡄⣹⠦⠑⡆⠁⠚⠳⠀⠀⠀⠀⠀ ⠀⠀⠃⣽⠻⠀⠀⠀⡇⠀⣄⠀⠀⠀⣸⠀⡇⠀⣄⠑⡖⢀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⣿⣛⣚⡒⣶⠶⠓⠛⡫⠛⠛⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⠓⠈⠀⡄⠀⡀⢸⣇⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣴⣹⢙⠃⢳⠈⢻⢸⠃⣼⣤⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠟⣸⣃⣿⠻⣌⡿⢠⡇⢽⠣⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⢁⣻⢙⡟⣬⢠⡀⢠⠀⢱⠈⣘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣶⣴⣤⣦⡷⠿⠛⡉⠋⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠉⡿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢦⣙⢧⠘⢳⠈⠀⠁⢸⠏⢫⠐⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡈⢰⢧⠀⢿⠀⣽⠟⢠⢧⠁⠉⠉⠉⠈⠀⠀ ⠀⠁⠞⣡⠾⣠⣀⣄⢿⠾⣠⣄⢦⠛⠈⠀⠀⡇⣴⠳⠈ ⠀⣽⣤⡶⠀⠀⠀⠃⣸⠀⠀⠀⢧⠀⣀⣤⠤⣤⠒⠁⢿ ⠀⡅⠻⠎⠙⠂⠀⡀⢱⠀⠀⠀⡀⢠⠀⠀⠀⠁⠆⣡⡾ ⠈⣿⣨⣤⣿⢤⠦⠹⡍⢩⠉⠉⡏⣼⠷⠬⣤⢶⠙⡟⢀ ⣷⣾⣴⣠⣄⢦⠛⢈⠁⠋⡴⣠⠀⠀⠀⣄⠦⠒⣟⣾⠀ ⠀⣇⢤⠳⠈⠀⠀⣧⣠⢷⠀⠀⠋⠠⠉⠚⠗⠼⣠⢀⠀ ⠀⡆⠙⠀⣧⠀⠀⡄⠀⡄⢰⠀⢁⡼⣀⠀⡥⢸⠀⠀⠀ ⠀⠀⡀⣄⡄⢳⠉⠀⠀⠀⠀⠉⡾⠂⠀⠒⡤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣄⠳⠖⣳⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠟⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠤⠲⠓⠉⠀⠀⠈⠀⠀⡀⣀⠁⠉⠚⠴⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰ ⠀⣄⠳⠉⠉⠉⠉⠉⠚⠒⠒⠛⠴⠦⠼⣤⣀⢤⢸⠀⠀⡆⣸⣤⢤⠧⠴⠦⠺⠒⠒⠒⠒⠓⠉⠉⠋⠴⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⢸⠀⠀⠇⢰⠀⠀⠀⢸⠀⠀⡇⠈⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠊⠀⠀⠀⠀⡄⠳⠉⠁⠞⣠⠀⠀⠀⢀⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢈⠀⠀⠀⠀⠀⠀⡀⣹⠀⠀⠀⠀⠀⠀⡇⡿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣄⠸⠀⠀⡀⢠⠀⠀⡇⠀⡄⣤⠀⠀⠇⢠⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠉⠟⣿⠈⠀⣿⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⡟⠀⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠟⠿⡿⣙⡋⣶⣠⢦⠺⡖⠹⠈⠀⠉⠛⡴⢦⠙⠉⠀⠉⠋⢶⠧⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⣤⣠⣀⠀⠀⠀⠀⠀⢧⠛⠙⣞⣤⣧⢻⠛⠛⡿⣼⣤⣳⠉⠋⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠿⡿⣿⣿⣤⣠⣀⣀⠄⠶⠶⡀⣀⣀⣄⡤⣿⣿⠿⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⣰⢀⠁⣿⢹⠉⠋⠛⠙⠉⠀⠀⠛⠛⠓⠙⠉⡏⣿⠀⡀⣄⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠉⡿⣼⢀⠟⣿⣿⡛⢸⠀⠀⡇⢛⣿⣿⠻⣀⣧⢻⠉⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣷⢽⡤⣤⣀⣋⣼⠀⠁⠈⠀⣧⣉⣀⣤⢤⡿⣾⣶⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⢀⠉⡏⣿⢿⠿⡧⣿⠿⠿⣸⣆⠿⠿⣿⢼⠿⡿⣿⢹⠉⡀⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⡟⣿⣻⣟⠀⠀⣻⣟⣿⢻⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣻⣏⠈⠀⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢻⠀⣀⣿⣼⣤⣤⣧⣿⢀⠀⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⠈⡇⢸⠀⠀⡇⢸⠀⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⡏⢸⠀⠀⡇⢹⡟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠀⠤⣤⣶⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷ ⣿⣿⣿⣿⣿⣿⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣼⠀⡀⣄⠤⠲⠙⠈⠀⠀⠀⠀⠀⠁⠋⠛⡴⣠⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡜⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⣀⣦⠳⠛⠶⡤⣤⢀⣄⠦⠒⠑⠉⣸⠀⠀⠀⠀⠀⠀⠀⠀⠋⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠹⠀⠀⠀⠀⠀⠀⠀⡀⣀⣄⠦⠒⠛⠐⠀⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡴⢀⠀⠀⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠹⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠸⠀⠀⠀⠀⠀⠀⠀⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠑⠈⠀⣆⠙⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢿⡶⣀⢧⠛⠔⡠⣀⢷⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠉⠉⠉⠈⠀⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠔⡤⣀⠀⠀⠏⣿⠛⠛⠈⠀⡇⠀⠀⡀⠸⠀⠀⠀⠀⢳⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣠⢀⡞⠀⠀⣀⠤⠢⠒⠒⠒⠒⠒⠑⠟⣻⠒⠶⠤⠤⠷⡿⣿⣿⣿⣿⣿⠾⡷⠸⠀⠀⡆⠘⠀⠀⠀⡄⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⠋⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣰⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⣴⢀⠀⠀⣆⠸⠀⠀⢇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⢰⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⣸⠀⠀⠀⠁⠋⠶⣿⣿⣿⣾⣳⠈⠀⠀⠀⠁⣟⠀⠀⡀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⠈⠀⠀⠀⡄⠐⢆⠀⠀⠀⡜⠀⠀⠀⠃⣼⢀⠀⠉⣾⣠⠀⠀⢇⠀⠁⠋⡔⣄⣶⠻⠈⡀⠀⠀⠀⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⡀⢸⠀⠟⠛⠛⠘⠀⠀⠀⠇⢠⠀⠀⠃⣿⣚⡴⣀⢀⠀⠀⠀⠀⡇⠩⣈⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⢹⡟⣿⣿⣿⣿⠘⠀⠀⣸⠀⠀⠀⡼⢀⠁⠈⠀⠀⠀⠀⠀⠉⡟⣿⢿⠛⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣿⣿⢸⣀⣀⣀⠀⢇⠀⠂⢀⠀⠀⠀⠁⠞⡠⣄⠷⠚⠒⠐⡤⣤⣶⢿⡿⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⢿⠈⠀⠀⠁⡏⠰⠀⢢⠙⠉⠋⡼⣿⠻⠞⣠⠀⠀⠀⠀⠀⠉⡷⣿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣹⠀⢿⠿⠿⣿⣿⠀⠀⠃⣿⣿⣿⣿⣿⣹⠉⠈⠀⠀⠀⠀⠟⢿⡾⣀⣧⣿⣿⠘⠀⠚⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠆⠘⠀⠀⠀⠀⠀⠀⡄⠳⣿⣿⣿⣿⣴⠀⠀⡇⣦⣿⣿⣿⣿⣿⣿⣴⠁⠉⠀⠀⣀⣀⠋⠟⡿⣿⣿⢿⡼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⢀⠀⠀⠀⡆⠉⣿⣸⣀⣀⣀⣿⠇⣿⢿⠛⠰⠀⠏⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⡿⣿⣿⠳⡽⠱⣇⣿⣹⣀⠓⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣀⣀⣄⣷⣿⣿⢿⠿⣿⣿⡿⣿⣾⠙⡆⢢⠟⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠛⠾⡿⣿⣿⣿⣿⣿⣿⣿⣸⠋⣿⢹⠋⣠⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⠑⡉⣀⣀⣀⣡⣖⢒⣟⡴⢀⣦⣿⢿⠈⢳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⡙⣟⠙⠀⣄⢳⠀⠀⡄⣷⣿⡟⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣽⢦⠙⡀⢳⠉⠉⠉⡀⣤⢠⠀⠀⠀⠀⠀

⠟⣿⣴⣠⢀⠀⠀⠀⠀⠀⠃⠚⠉⠁⠉⠋⠛⠿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣇ ⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣿⣿⣿⣿⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠟⣰ ⣀⢻⠶⠶⠲⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠀⠉⠛⠶⣧⣀⠀⠀⣆⠸ ⡇⢠⠀⠀⠤⢀⣸⣄⠦⠲⣛⢮⠀⠈⠀⠀⠓⠉⢞⡴⣦⢉⡴⠁⡼⠀⠀⠀⠁⣼ ⡇⠺⠈⠉⡏⠉⡢⠥⠭⡨⠔⣀⣷⢀⠀⠀⠀⣸⠀⢄⠠⠐⠤⣠⠀⠀⠁⠀⢟⢫ ⢻⢿⡘⠄⢹⠰⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀⣦⠙⠀⠀⠀⠀⠀⠀⡠⠋⡿⣿⣿ ⣿⣿⣿⠻⠙⡈⠀⠀⠀⠉⠛⣴⢀⠀⠀⠀⠀⠀⡀⣭⠶⠓⠛⠛⠿⣯⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣹⣈⣃⣉⢉⠀⠀⠀⠀⠁⠀⠉⢉⠋⠛⠿⡿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠉⠛⠛⣰⠀⠀⠀⠀⠀⠂⣴⣤⣀⣀⠀⠁⠛⠓⣿⣿⣰⠀ ⠀⠀⣇⣿⣿⠈⠀⠀⠀⠀⠀⠀⠁⠀⠀⠁⠟⣉⠉⠉⣈⢀⠀⠀ ⠀⠀⡇⡀⣅⣿⠻⠛⠟⠸⠀⠀⡶⣤⣦⣶⣶⣿⣿⣿⣿⢿⠐⠀ ⠀⠋⡿⣿⣿⣾⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣷⣿⢠⠁⠀ ⡄⣶⣿⣿⢛⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠻⡾⠀ ⠀⠀⠀⣀⣏⣾⠀⠀⠀⠀⠀⠀⠒⠉⠊⢠⠀⠁⠉⠋⠠⣿⠀⠀ ⡇⠿⠛⠙⣿⢠⠀⠀⠀⠁⠉⠉⠊⠀⠀⠧⣯⣿⣲⡒⠰⣿⡹⠘ ⡆⣈⣤⣧⣾⣠⢼⣀⠀⣦⣿⣶⢄⠀⠀⡄⠑⠀⠀⠃⡏⣿⣿⢀ ⠀⢃⠙⡏⢸⠀⢡⣀⣀⠀⠀⠊⢀⠀⠀⠁⠋⠛⠹⣿⣿⣿⢠⠀ ⠀⡀⣷⣿⢿⠛⠛⣛⠛⠛⠟⠹⠇⡿⣿⣽⣤⣿⣿⣿⣾⢠⠈⠀ ⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⣠⠁⣀⣷⣸⣊⠀⠄⠀ ⠀⠀⡽⣯⣿⣹⣄⣤⣦⣶⣷⣿⣿⢋⠞⠔⢀⣆⣜⢸⢧⠀⠀⠀ ⠀⠀⣻⣛⣖⣿⠹⠀⠀⠀⡇⣾⣧⣛⠀⠀⠇⣿⢠⢸⡤⠀⠁⠐ ⠀⠀⢢⣷⠐⣆⣿⠘⠀⠀⡿⢽⡾⣿⠘⠀⣿⣸⠀⠀⣀⠀⠀⠀ ⠀⠀⡀⡐⢉⠂⣦⣿⠙⠃⣿⡀⡀⣦⢿⡟⣾⠠⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⣿⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣉⢈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣾⣤⢷⠻⠉⠀⠀⠀⠀⠀⠀⡟⣿⣟⣹⣿⣼⠳⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⠀⠀⠀⡀⣧⢿⠻⠉⠀⠀⠀⣧⣿⡉⣋⠒⠓⠉⣆⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣾⠀⠀⠀⠋⣿⣿⣿⣿⣿⠛⠉⠂⢠⠀⠋⠿⠿⡸⢱⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠛⠟⡿⣿⣿⣿⣿⣿⣾⢁⣄⣳⢙⡀⣶⣿⣾⢠⡿⣿⣿⣿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⣿⣿⣿⣿⣿⣿⣿⣼⢀⡄⠸⡄⣿⠻⠙⠈⠁⠟⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣠⣀⠀⠀⣄⣷⣿⣾⣴⢀⠀⠀⠋⢰⠉⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⡁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠚⠴⣀⣀⢤⠷⠙⠀⠀⠀⠀⠀⠄⠦⠶⠶⠶⣤⢋⡼⣀⠀⡀⣬⣶⣿⣿⣿⣶⣴⢀⠏⡼⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠞⣠⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠁⠛⠛⠉⠈⠀⠀⠏⣰⠀⠀⠀⠀⣄⠲⠉⠈⠀⠀⠀⠀⣀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡾⣠⠀⠋⣔⣠⣄⣯⣸⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⡼⢀⠋⠔⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠁⠉⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣾⣷⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢰⠁⣿⢻⠔⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⣠⣄⣰⣄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠻⠀⠀⠀⠀⠀⠀⠀⠋⡴⠀⡞⣤⢀⠏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢦⠙⠀⠀⠀⠀⠏⢠⠀⠀⠀⠂⡰⢀⠋⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⢄⣥⣟⢸⠀⠀⠀⠀⠀⠃⣿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢳⠘⠀⠀⠀⠀⡿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠛⡿⣿⣿⠸⠀⠀⠀⠀⠀⡏⣿⠻⣍⠲⠑⠉⠀⠀⠀⠀⠀⠀⠀⠋⠖⣶⢲⠉⣿⢬⠳⠈⡇⣿⣿⣿⠀⠁⠋⠚⠒⠒⠒⠒⠙⠈⣇⣿⣿⠻⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⡿⣶⣷⣿⣶⢶⠻⠉⠉⠉⠟⣿⣿⣿⣿⢿⠻⡛⣍⢭⠭⠭⠭⣤⣠⠀⠀⠀⠀⠀⡀⣄⠲⣄⡿⣿⣿⣾⣤⣀⠆⠲⠘⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⠈⠀⠀⠀⠀ ⠀⠀⠃⣴⠀⠀⠞⣠⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⡀⣀⢋⠞⠤⢤⠢⠛⠉⠀⠀⠀⠀⠋⡿⣿⣿⢠⠀⠀⠀⠉⠀⠀⠀⠷⠿⠿⠸⠑⡇⣿⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⡇⠛⠛⠟⢠⠀⠀⠀⠀⠀⠀⣀⣤⣦⣶⣶⣶⣶⣤⢖⠴⡠⣀⢀⠀⠀⠀⠀⠀⡀⣀⠦⠷⣿⣿⣿⣿⣸⠀⠋⣸⣀⣸⠀⠀⠀⡄⣷⣿⢸⠁⡾⣿⣿⣿⣿⠸⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⣿⣿⣿⢹⡿⣿⣿⠟⢠⠉⠛⠜⠉⠉⣏⣿⣿⠹⣟⣿⣿⣄⢸⠀⠀⠀ ⠀⠀⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣸⠀⠀⠀ ⠀⠀⡇⣾⣴⣦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⣿⣿⣿⣾⣷⢸⠀⠀⠀ ⠀⠀⠀⢧⠈⠀⣆⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⠀⣧⣯⣿⣿⣿⣿⢸⡇⢠⠀⠀⠀ ⠀⠀⠀⠀⢦⠙⠋⡿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢻⠉⠞⣷⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣦⣷⣿⣿⣿⢿⠴⡤⣀⣀⣀⣏⣿⣿⣿⢿⠿⠙⠈⠀⠀⠀⠀⠀⠀⡄⠹⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠏⠉⡟⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣲⠒⠒⠒⠒⠤⣤⣦⣶⣿⣾⣠⠀⣆⠙⠀⠀⠀⠀⠀⠀⡀⢳⡟⣿⣾⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⢀⣦⣿⠻⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⡀⣷⢨⠀⠀⡃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⠈⠀⡀⣦⣿⠻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢫⠛⠛⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠋⣿⣿⣿⣿⣾⣤⣤⣀⣧⣿⣿⣾⣤⣠⣦⣷⢿⠻⠛⣟⣿⢻⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣶⣿⣿⠻⠈⠀⠀⣆⣿⠹⠀⠀⠀⠀⡀⣄⣦⣷⣿⣿⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣷⢿⠛⠛⡏⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⣶⣶⣾⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠤⣀⢀⠀⠀⠂⠀⠄⢀⠋⢠⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠆⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⠜⠤⠦⠴⠠⡦⣨⠀⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⢲⠉⠀⠀⠀⡿⣿⢿⠛⠈⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⡀⢳⠒⠒⠔⡸⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⣰⠀⣏⠐⠉⠉⣿⣿⣿⣿⣿⠿⠿⢠⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀⠇⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⡼⣇⣠⠀⠀⡞⢀⣄⣷⣿⣿⣠⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⡾⣠⠎⢠⠀⠀⠎⢀⠀⠀⡀⣦⢸⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠎⣠⠀⡼⢱⠀⠋⡴⢀⠀⠀⠀⠀⠁⣼⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢶⡟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀ ⠀⠃⢠⠀⠀⢤⠤⣠⢀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣹⠉⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⣠⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠟⠻⠘⢇⠈⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⠀⠀⣀⣀⢄⠧⠴⠤⠛⠒⠓⠀⣼⠈⠀⠀⠀⠀⠀⠀⠀⠀⠖⢻⡞⣽⡟⣼⡷⢤⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⠓⣽⣉⠄⡿⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⣆⣸⠁⡰⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠧⠄⠢⠓⠈⠁⢿⠒⡙⣿⠈⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠳⡉⢦⣙⣦⠉⠀⡀⠫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣾⠀⠀⠀⠀⠀⠀⠀⠁⡜⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠾⣠⠀⣠⣀⣄⣧⢿⠀⠈⠀⠀⠀⠀⠀⠀⠋⠙⠈⠀⠀⠀⠁⠋⠔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢛⠛⠀⠀⠃⠉⠈⣶⣶⣶⠿⠛⠂⠒⠔⡷⢀⠀⣇⣀⠄⣀⣞⢤⠧⠮⠷⠙⠀⠀⠁⠟⠤⠤⠦⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⣿⠻⡟⣽⣯⣿⢿⠿⠛⠙⣏⠀⠀⠀⡇⠀⠀⡀⠸⠀⡀⢹⠀⠇⣿⢾⠙⣄⠯⣠⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⢡⠈⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⢸⠁⠋⡟⠀⠀⡄⠸⡟⣸⢀⡀⢃⢠⠀⠀⠀⠀⠋⡿ ⠀⠀⠀⠀⣤⣤⣷⡈⣷⣿⣾⢰⠀⣆⣻⢙⡋⣿⣹⣋⣿⣥⣿⣿⣿⢠⠀⠀⠀⠀⡆⣿⣿⣿⢻⠀⠀⡄⡖⠿⠀⠀⣇⠀⠀⠀⠀⠃⢨⠀ ⠀⠀⠀⠀⠀⠀⠶⠶⡦⣿⣿⠀⠀⠀⣼⡒⣉⣟⣿⣿⣶⣧⣿⣾⢠⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⢻⠈⠀⠀⡀⢦⠑⡀⢳⠉⠋⠟⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⢸⠀⡁⣿⣿⠀⠀⡿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣴⢀⡀⠢⠈⠀⠀⠀⢄⣢⣬⠒⠁⢱⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⡏⢰⣧⠀⡏⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⡀⢏⠛⠉⠉⠉⡚⢤⠓⠉⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⣼⠀⡇⠏⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠢⠙⠀⠇⣿⣿⣿⣿⣿⠀⠀⠀⡀⢄⠢ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⠀⡆⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡤⣶⣿⣿⣿⣿⢻⠉⠉⠉⠐⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⠀⠀⠀

⠀⠀⠀⠀⠇⡬⣠⣀⣂⣀⠇⠀⠀⠋⠞⣡⣗⣈⠚⠒⠒⠓⠉⠋⠛⠓⠙⠉⠀⠋⠷⠾⠓⠀⠀⠃⠶⠒⠒⠓⠉⠈ ⠀⠀⠀⠀⠀⣄⠳⠘⠀⠀⡆⠛⡿⣹⠀⡃⠿⣯⠀⠀⠀⠀⡀⢱⠀⠀⠀⡀⢦⣟⡼⣌⡔⠸⠀⣿⠀⠀⠀⠀⠋⣴ ⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⣷⣿⣿⢿⡮⣤⢠⠀⠀⠀⠀⠀⡄⠦⠛⠀⠀⠀⡄⡿⣽⠋⡟⡟⢴⠀⠀⠃⣰⠀⠀ ⠀⠂⡾⣀⣅⣇⢀⡇⠘⠀⠀⡄⣾⣠⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⡀⠹⠀⠀⠀⠀⡀⣦⣿⣸⢠⠀⠀⡼⠀⠀⠀ ⠇⡞⣤⠲⠉⠈⠖⠒⢻⠀⠀⠀⢇⠀⠀⠀⠁⠊⡤⠀⠀⠀⡀⠐⠂⠀⡄⢦⠙⠀⠀⠀⠀⣞⠀⠀⠀⠇⢠⠀⠀⠀ ⠀⢤⠓⠉⠉⠈⠀⠀⡄⠘⠀⠀⡀⢠⠁⠞⣠⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⡀⢆⠑⠈⡆⢀⠀⠀⠁⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣟⢈⠀⢣⠈⠀⠁⠟⣻⠈⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠁⠉⣄⠳⠈⠀⠁⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⢨⠗⠤⣦⣓⢉⠈⣀⣿⢼⠑⠈⠀⠀⠀⠋⡼⢀⠀⠀⠉⡔⣠⠀⠁⠀⣀⢦⣘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣯⢻⡌⠲⠒⠙⠀⣁⢸⢸⢣⠀⣀⣀⣃⣷⠳⡀⢧⠬⣠⢀⠀⠀⠀⠀⢄⠀⠀⡀⠢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣆⣿⠷⠛⠉⢍⣋⠞⢸⡇⠀⠀⠀⡇⡄⠀⢧⠉⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢸⡄⣧⠛⢸⡀⠺⣂⠐⠀⠀⢸⡀⣧⣿⣤⠦⠓⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡄⡆⢸⠀⢀⠀⠀⠀⠀⢃⠉⡉⣋⢿⠟⣿⣿⣨⣀⢯⠙⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠃⠷⠀⠇⠛⡿⣶⣷⣿⣽⣤⣤⣤⣦⣘⣦⣾⢤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⢚⠴⣤⣀⣀⠀⠀⠀⠀⣦⣿⠸⠀⠀⠀⣆⠘⠀⠀⠀⠉⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡿⣾⣠⠉⠋⠰⠀⠀⠁⠉⠋⠛⠓⣟⣿⣾⣶⣶⣶⢻⠀⠀⠀⣤⠀⠀⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠿⣿⣿⣼⠀⠀⣀⢀⠀⠟⡴⣁⣿⣶⣴⡥⢸⣷⣿⠈⠀⠀⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⢻⠓⠿⠻⠀⠀⡄⣱⢈⠀⠁⠋⡴⠀⡇⣿⢿⠖⠿⠿⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣾⡟⢹⠖⣠⣃⠰⠀⠀⠀⣁⣋⣙⠄⡿⣼⣤⢀⣀⣴⣧⣿⠉⠉⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣻⣿⠺⠛⡴⠁⠋⠟⡼⣷⣿⣿⠻⣿⣠⠀⠀⠁⠉⡏⣿⠀⣄⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⠿⠹⣇⣿⣶⢸⡀⣡⣟⣿⣿⢿⠰⠀⠅⡿⣸⣧⠙⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣷⣿⣿⣿⢿⣿⡼⢡⠀⠀⠟⣿⣿⣿⢾⠋⡿⣸⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣷⣻⣿⣿⣿⢻⠟⣿⣿⣿⣿⣼⣠⡀⣷⠻⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣤⣤⣤⣷⣹⣀⡇⢸⠀⠀⠀⣆⢿⣿⠙⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢿⡈⢿⠂⠀⠀⠀⡀⣧⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⡌⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠒⠤⠤⣀⣀⢀⠀⣀⣀⠤⠦⠓⠈⠀⠀⠀⠁⠞⠤⡤⣀⣀⣀⣀⣄⠤⠲⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠙⠁⠞⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⠀⠀ ⠀⠀⠀⠀⠁⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠃⢩⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀ ⠀⠋⣠⡀⣤⣤⣶⠶⠻⠛⠛⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠛⠿⢻⠀⠀⠀ ⠇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣭⣯⣿⢾⠶⠶⠶⠶⠷⠿⠿⢿⠛⠛⠟⠿⠿⣿⣿⣭⣤⣀⣀⠀⡀⢳⠀⠀ ⡿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠖⡤⣀⣀⠀⠀⠀⠠⠀⠀⠠⠀⠤⡂⣑⣯⣼⢤⣠⣀⣀⣀⣀⣀⣄⢤⠳⠉⡆⠸⠀ ⣿⣄⠢⠀⠀⠀⠀⠉⠋⡾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣾⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⢸⠀ ⣿⠿⠿⡿⣿⣿⣟⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢧⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠈ ⢸⠀⠀⠀⠀⠀⠀⠀⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⣻⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰ ⠀⠀⠀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡵⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡰⠀ ⠀⠀⠀⠀⣄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠎⣢⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⢄⠣⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠴⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⡍⡿⣾⣿⣿⠿⠛⠛⠛⠛⠋⠛⠛⠛⠗⠾⣶⢶⠳⠛⠉⠉⠉⠉⠋⠓⠟⠿⣿⣷⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⢤⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⡀⣀⣀⣄⣷⠻⠀⠀⠀⣼⠀⠀⡀⣀⣀⠀⡃⢸⢁⡴⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠢⠒⠒⢾⢿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣼⣤⢤⣶⠑⠉⠉⠈⠁⠉⠋⡾⠴⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠊⠴⡠⣄⣷⣶⣿⣬⣶⠶⠶⠿⡿⣴⠀⠀⢸⠀⠀⠀⠀⠀⣃⣰⣀⣀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⡿⢠⠀⠀⠀⠀⢄⣷⡘⢦⠹⠀⣿⢰⠀⠀⠀⣧⣤⢦⠻⠉⠀⡆⠀⠀⠁⡏⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡟⣻⠈⠀⠀⠀⠀⠀⠀⣿⠀⣄⢳⣿⠀⠀⠀⠀⡇⠿⣠⢀⣄⢻⠀⢣⡾⣠⠀⡅⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣁⢮⠐⠀⠀⠀⠀⠀⣧⠘⠀⡄⢀⠀⠀⠀⠀⡇⣸⠀⠀⠀⣾⠀⠀⣄⠳⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⣠⡀⣧⣛⢭⠤⣀⣀⣀⣤⠶⠛⠉⠈⠀⠀⠖⣠⠀⠁⠈⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣽⣿⣏⣾⣠⣀⣀⣀⣂⣈⣤⣖⠿⠿⡷⣻⣍⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⣷⣿⠉⠉⠈⠀⠀⠆⢰⠀⠀⡀⣿⠈⣇⣿⢿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⣻⠋⣴⢸⠀⠀⠿⠤⠤⠳⠈⣿⢀⡀⣿⣻⣯⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⣼⣄⣿⠛⢻⠈⡇⣤⢿⠛⡇⣿⣿⢠⠆⣿⡀⣀⣀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠏⢸⠟⣿⣠⢀⣞⣿⠽⡀⣦⠻⣿⣶⠀⠃⣼⢦⠳⠙⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⣰⣧⣺⣷⠀⡇⣷⡏⣸⢤⠶⡟⣼⠀⠀⡞⣀⠦⠛⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⣼⠀⣯⠟⠹⠋⡿⡴⣤⢠⠀⠀⡀⠀⠀⡆⢳⠉⠀⡜⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⡛⣯⡻⢻⠋⠙⠈⠀⡆⣀⠀⠁⣟⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣴⣤⣀⣀⠀⠀⡀⣄⣦⣿⣶⣶⠶⠿⠿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢹⠀⡟⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⢹⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⡀⠱⠈⠀⠉⠉⠉⠀⠀⠀⠀⠈⠀⠀⠀⠀⠉⠉⠉⠉⠃⢾⢀⠀⠀⠀ ⠀⠀⠀⠈⢖⠠⠤⠠⠂⣐⠍⠁⠀⣧⠀⠊⠠⢂⠀⠄⠤⠤⣲⠁⠀⠀⠀⠀ ⠀⠊⡠⠁⠉⠉⠉⠀⠀⠒⠁⢄⢳⠀⡞⠠⠉⠀⠀⠀⠉⠉⠉⠈⣀⠢⠀⠀ ⡌⠀⠔⢋⠛⠈⡀⢦⠀⠀⠀⡀⠢⠻⢺⡠⠀⠀⠀⡼⢀⠀⠛⠑⢄⠈⢋⠀ ⢸⠀⠀⣄⣁⢈⠀⠊⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢣⠀⠁⣩⢠⠀⢀⡄⢸ ⠘⠀⠀⠀⠄⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡄⠤⠠⠀⠀⠀⢰ ⢂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀ ⠀⢄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡠⠀⠀ ⠀⠀⠀⢇⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡧⠀⠀⠀⠀ ⠀⠀⠀⠸⠀⡀⠢⠀⠀⠀⠀⠀⠀⠖⠀⠀⠀⠀⠀⠀⠊⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢃⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⠀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠢⡁⠠⠀⠁⠉⠋⠒⠖⠠⠢⠂⠑⠉⠉⠀⠀⡩⢂⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣀⠋⠟⣸⢇⠊⠒⠑⡏⣇⠻⠙⡀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣠⢀⠁⠀⠀⣀⡄⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠁⢉⠈⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⣏⣿⢬⣤⡠⠀⡄⣤⣥⣿⣹⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⣖⣿⣿⣿⠿⠿⠿⣿⣿⣿⣲⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⡏⣿⣿⣿⣄⣿⣿⣿⢹⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣻⠓⣿⣿⢰⣤⠤⢠⡆⣿⣿⠚⡗⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢱⡇⣾⢠⠀⠀⠀⠀⠀⡄⣷⢸⡎⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⡟⢀⠀⠀⠀⠀⠀⠀⠀⡀⢹⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣸⣀⣀⣉⣉⣉⣈⣀⣀⣇⣀⣀⣀⣀⣀⣀⣀⣀⣱⣀⣀⣀⣋⣛⣙⣈⣀⣀⣀⣇ ⢸⠀⡞⣠⣦⣿⣿⠻⠛⣷⠀⠀⠀⠀⠀⠀⠁⠀⡇⠲⠑⡟⣿⣿⣿⣿⠻⠀⠀⡇ ⢸⠀⢸⠀⠀⡀⣄⣾⣾⣤⠳⠈⠀⠀⠀⠀⡜⠃⡏⠒⡿⣾⣿⣾⣤⣀⣾⠀⠀⡇ ⢸⠀⣵⠢⠑⠉⠇⢨⢀⠀⡀⣴⣥⢰⠔⡺⣜⣥⣨⣀⠀⢁⣸⠀⠋⡶⢆⠈⠀⡇ ⢸⠀⡄⠈⠀⠀⣀⢄⠲⠈⡈⢀⡭⠀⡆⠀⠂⠀⠀⠀⠁⡾⢴⣠⠀⠸⠀⢇⠀⡇ ⢸⠀⠀⠆⠘⠀⠀⠀⡄⡙⡧⠰⠀⠀⠀⡀⠀⠁⠿⠜⢀⠀⠀⠀⠎⠀⠀⡇⠀⡇ ⢸⠀⠀⠀⡄⠻⠀⠁⡂⣧⠁⣫⣉⠭⠠⠁⠯⡹⡇⢤⠒⠈⠀⠃⢠⠀⠁⡰⠀⡇ ⢸⠀⠀⠀⠁⡟⣿⢊⠄⡀⢀⠀⡀⢀⠀⠀⠀⠀⡀⣀⠄⣷⠿⢙⠉⠔⢀⠀⠀⡇ ⢸⠀⠋⡾⣧⣿⣿⣹⣽⣉⣿⣿⣾⠀⠀⠀⣷⣿⣿⢉⠯⠉⣿⣿⢣⠈⠀⠀⠀⡇ ⢸⠆⢨⠋⡿⣿⣿⣩⣉⣟⣛⢛⠻⠛⠛⠛⢟⡛⣉⣁⣉⣄⣇⣿⠻⢌⠘⠀⠀⡇ ⢸⠀⡀⣷⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⡿⣿⠉⣼⣷⠀⠀⡇ ⢸⠀⠀⡀⣿⣿⣿⣿⣷⣿⣤⣿⣵⣠⡀⣇⣷⣿⣿⣿⣿⣿⣿⣿⣿⢻⡰⠀⠀⡇ ⢸⠀⠀⠀⣇⣿⣿⣿⡿⣿⡿⣿⣧⠔⠤⠑⣤⢿⣿⢛⣙⣿⣿⣿⣿⡰⠀⠀⠀⡇ ⢸⠀⠀⠀⡇⣠⣤⣵⣶⣿⣿⣿⣿⠈⠀⡋⡿⣿⣿⣿⣿⣿⣾⣠⣧⣼⠻⠙⠉⡏ ⢸⠀⠀⠀⣿⠀⠀⠀⣄⠳⡀⣀⣤⣤⣴⣤⣤⣤⣤⣁⠞⣠⠀⠀⡇⣿⣿⣿⣿⣿ ⢸⠀⠀⠀⣿⠀⠀⠀⠀⡼⠀⣇⠸⠀⠀⠀⠃⣸⠀⣇⠈⠀⠀⠀⡏⡟⣿⣿⣿⣇ ⢸⠀⠀⠀⣧⠀⠀⠀⡎⠀⠁⡼⢤⠲⠒⡒⣄⢳⠀⠀⢣⠀⠀⠀⢸⣼⣦⣶⢉⡏ ⢸⠀⠀⠀⡇⢹⠀⠎⢀⠁⡼⢀⠀⠀⠀⠀⠀⡀⢷⠈⠀⢣⠀⠁⣿⢠⠀⠀⠀⡇ ⢸⠀⠀⠀⠀⣿⠟⢫⠾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠻⠉⢫⡏⣼⠀⠀⠀⠀⡇ ⢹⠉⠉⠉⠉⡍⣿⣩⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡉⣯⣿⣽⠉⠉⠉⠉⠉⡏

⠀⠀⠀⠀⠉⠋⠚⠗⣸⢀⠀⠀⡋⢶⠶⠶⠲⠒⠐⠂⠐⠂⠒⠒⠒⠒⡒⢶⠒⠛⠉⠉⠉⠉⠉⠉⠋⣞⠲⠓⠉⠉⠈⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠼⣠⢀⠀⠀⠀⢇⠀⠀⡄⢹⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣻⢈⠀⠀⢀⠀⠀⠀⡀⣀⣿⣿⣿⣷⣸⣈⣀⣀⣄⣤⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⠀⠀⠀⠀⠀⠀⡀⠻⠟⡿⣿⢻⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠞⢩⣼⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⡇⢹⠀⠉⠋⠈⠈⣥⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⡄⡤⣷⣿⠿⣿⣾⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣀⠇⠿⣤⢀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠐⠄⠦⣷⣈⣀⣀⣿⢠⡟⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣤⠱⠀⠀⠀⠀⠀⠀⠀⡀⣵⣀⠀⠀⡀⢦⠈⠀⠀⠀⠁⠉⠋⠒⠴⡠⢀⣿⠿⡿⡀⢳⠉⠏⠦⠸⠀⠀⠀⡼⢀⠀⠀⠀⠀⠀⡏⠀⠁⡟⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢳⠈⡀⢄⠢⠓⠉⠀⠀⠀⠀⡀⢿⠙⠀⠀⠀⣄⠼⡠⣀⣀⠀⠀⠀⠀⠀⠃⣿⣿⢸⠀⠀⣀⢦⡗⢉⠀⠀⠀⢦⠑⠉⠉⠉⠛⠽⢊⠔⣠⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⠀⠇⢸⠀⡀⣷⠤⠛⠚⡤⢀⡀⢀⠀⠀⠃⢻⠈⠀⠀⠀⠀⠀⠀⠀⡇⣤⣤⢸⠀⠸⠀⠁⠋⠛⣟⣾⣶⢿⠽⡬⣠⣠⣀⢀⠀⠁⠿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢷⠀⠀⡅⠾⣠⠀⠀⠀⠀⠀⠀⠁⡰⠀⢳⠉⠀⠀⠃⠿⠿⠿⡟⠀⠀⢸⡏⢿⡾⣠⣤⣀⢀⠀⠁⠙⠀⣄⠦⠓⠈⠀⠏⣿⣿⠘⢆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢿⠞⣠⠀⠀⠀⠀⠀⠀⠀⠋⣠⠀⠀⡆⣘⣀⢧⣴⣿⡟⢀⡇⠀⠀⢿⣿⣿⣿⠙⠀⠀⠁⠟⣿⣿⣾⠳⠈⠀⣁⣿⣿⣿⣧⣿⠙⡀⠿⠻⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⣼⠀⠀⠀⠀⠀⠀⠀⠁⡞⣀⢹⠀⠀⠀⢳⠀⠀⠀⣿⢸⠀⡏⠀⠀⣿⣻⣋⣿⣿⢻⠈⡼⣀⣥⣾⢀⠁⢸⠀⣷⣿⣉⢤⣧⣿⣿⢿⣺⡶⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠖⣠⠀⠁⡏⠘⠀⠀⡆⠘⠀⡏⡯⢸⠀⣸⠀⠀⣿⣿⣿⡟⣿⣿⣿⢿⠛⡽⠉⠚⡵⣿⠿⠙⣍⣿⢸⠀⣤⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢳⠈⠀⠀⠀⠀⠀⠀⠀⠋⣠⡀⢹⠀⠀⠀⣸⣆⢻⣿⢹⠀⢰⠀⠀⣟⢰⡀⣦⣿⣿⣿⣟⣿⠻⠈⠋⣿⣿⣼⣮⣿⣿⢿⠈⡆⣷⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢄⠳⠉⠀⠀⠁⠋⡴⣧⠈⠀⡇⠈⠀⠀⡄⠳⠈⠀⠀⣄⠿⠉⠋⣼⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣻⢛⣛⣀⣀⣄⢠⡉⣏⣿⣿⠻⠙⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⣆⣿⣿⢹⠀⡄⢲⠒⠒⠓⠒⣶⠀⠀⡟⣿⣿⣾⠀⠀⠀⠃⣿⣰⠀⣀⣤⣿⣿⣨⣦⣴⣷⣿⠉⠠⠀⠀⣸⣿⡟⢿⠳⣛⣟⣿⠿⠻⠙⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣦⠘⠀⠀⠐⠀⠀⠀⠀⠀⠀⣧⣿⣿⢀⠀⠀⠃⣿⣼⠀⠀⠀⠏⣿⣾⢠⠀⠁⡌⡄⠠⠀⠀⠀⢣⣿⣿⣶⣿⣿⣿⣶⣶⣶⣶⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠟⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⢰⠀⠀⠁⡿⣾⠀⠀⠀⠃⣿⣾⢀⠀⠀⡄⠀⠀⠀⠀⠀⠏⠿⣿⣾⠿⠿⣛⣿⣿⠿⠛⠙⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⣶⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⡟⣿⢠⠀⠀⠁⣿⣿⢶⡄⣤⠂⠒⠶⠰⠀⠇⡿⣿⣾⣤⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣽⠉⠏⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⢹⠀⠀⠀⡿⣿⣿⠿⣭⣭⡍⣿⠹⠿⣿⣿⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠤⡶⣶⣶⣿⣿⣿⣿⣶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠁⠖⠦⠐⠈⠁⠉⠉⠉⠛⠛⠟⠿⠿⣿⣽⣤⣧⠦⠓⠙⠋⠽⠭⠭⠿⠿⠿⠿⠶⠶⠶⣤⣀⣄⠢⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠜⢀⠀⠀⠀⠄⡠⣀⢀⠀⠀⠀⠀⠀⣀⣄⣷⣮⣿⠿⣿⣾⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠱⠀⠀⠀⠀⠀⠀ ⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡟⣿⣿⢒⠒⠑⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀ ⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣸⠀⠀⠀⠀⠀⡀⢄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠻⠛⠙⠈⠀⠀ ⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⠿⠙ ⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢰⠈⠀⠀⠀⠀⠀⠏⣿⣾⣷⣿⣿⣿⣿ ⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⡏⢷⠀⠀⠀⠀⠏⣠⣞⢸⠀⡀⣀⣏⣰ ⠀⠀⠀⢢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢰⠋⢠⡄⠸⠀⠁⠟⢻⡟⢉⢸⠀⠋⡞⢠⠀ ⠀⠀⠀⠀⡄⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠋⡶⢑⠞⣠⠀⠀⢸⠋⡴⢁⣿⣿⣿⢻⡴⣠⠀⠀⠀ ⠀⠀⠀⠀⡎⠀⡀⠤⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⡽⣋⠶⣠⠀⠀⠀⠏⣾⢀⠉⡼⣁⣼⣮⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢁⠀⠀⠀⠀⡁⢼⠲⠙⠀⠀⠀⠀⠀⠀⠀⡄⣿⣼⣤⣤⣀⠀⠁⠋⠒⠴⣠⢀⢸⠇⢡⢿⡿⠉⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡆⠈⠀⠀⠊⡴⢦⠒⡁⢌⠳⠙⠈⠀⠀⠀⠱⡄⢷⠈⠀⠄⡷⣿⠚⠒⠤⠤⠓⢋⣿⡿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢆⠈⡇⠀⠀⠀⠀⠀⡀⣤⣷⢿⠀⠀⠀⡀⢢⠈⣦⠻⠈⡇⣠⠀⠀⠀⠁⠟⣼⢁⡞⣮⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣧⣦⠻⠈⠀⠀⠀⠀⠀⣀⢠⠀⠀⠀⠀⡄⠢⡈⣄⣶⠳⠛⠛⠜⣩⢊⡴⣩⠔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⠸⠀⣀⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠞⠓⠉⠉⡉⣉⠉⠓⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⠢⠙⠀⣈⢿⠻⠑⠈⠀⠁⠋⠒⠤⠤⡤⣦⠙⠀⠀⡀⣁⣼⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡇⠀⣿⣼⢀⠀⣀⣀⣀⢤⠳⠈⠀⠀⠀⣆⠀⠀⠋⣰⠀⠝⡤⠢⠐⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⡞⣠⣀⡀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⠀⠀⠀⠀⡇⢀⠁⠎⣄⢼⠤⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⡇⣿⣿⠈⠀⠁⠉⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⣾⣮⢀⠀⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⠈⠀⠀⢳⡀⢦⠙⡀⢻⣙⠿⠻⠛⠟⢸⠀⠀⠀⠀⣿⠔⢀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⠀⠀⢧⠈⡇⠸⣽⣷⣿⣟⣿⣴⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠐⠀⡀⣿⣬⢀⡇⡘⢀⣉⢉⠉⠋⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠤⠤⡷⢸⠂⡿⣠⣿⣹⠀⡀⣷⠀⠀⠏⢓⠉⠊⠒⠒⠤⠢⠙⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠀⢸⠁⣼⣧⠀⠀⡇⠀⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠠⠴⠚⠷⠿⠿⠿⠻⡾⡿⣿⣷⠿⡿⢿⠿⡿⣽⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⠉⢻⣿⣆⣰⣿⣿⠁⠙⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⢀⣠⡼⠟⠋⠉⠛⢿⣤⣀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣵⣾⣿⣿⡋⠁⠀⠀⣠⣉⣿⣿⣷⣶⣽⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⡿⠃⠘⠛⠛⠋⠁⠀⠉⠛⠛⠻⠎⠻⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⣴⣿⠿⠋⠁⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⡠⠆⠀⠀⠈⠛⠿⣿⣷⡀⠀⠀ ⠀⠀⣼⣿⡇⣠⣤⣤⠤⢤⣤⠤⣿⡀⠀⠀⠀⣾⠧⢶⡦⠤⢤⣤⣤⡘⣿⣽⡄⠀ ⠀⣸⠟⣿⢸⣇⣀⣀⣴⣿⠿⠗⠚⠳⠄⠀⠴⠛⠲⠿⣿⣷⣀⣀⣀⣇⣿⠛⢷⠀ ⢰⡇⠀⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⣠⠴⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⡀⠘⡇ ⣼⣠⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣄⠸ ⣿⠋⠁⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡏⠀⠙⢇ ⠇⠀⢀⣤⣿⡿⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⣿⣧⣄⠀⠀ ⣧⣴⣿⣿⣿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣷⣤ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⡀⠀⠀⠀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿ ⠀⠙⢿⣿⣿⣿⣿⣿⣿⡿⠿⢿⡿⠓⠒⠒⠀⠸⣿⠿⠿⣿⣿⣿⣿⣿⡿⠿⠋⠉ ⠀⠀⠀⠈⠙⠻⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠟⣛⠁⠀⠀⠀

⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠇⣿⣿⠹⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣁⣋⣟⣿⣿⣿⣿⣴⢀⠀⠀⠀⡿⣿⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠇⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠇⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣦⣿⣿⣿⣿⠻⠀⠀⠀⠀⡇⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⢿⠟⣿⢻⣮⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣾⣠⣦⣿⡝⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⣶⣠⠀⠀⢿⣝⣩⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠛⠿⠿⠻⠛⡿⣿⣿⣿⣿⢿⠿⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣸⣷⣿⣿⣿⣿⣿⣿⠻⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⢠⡇⣿⣿⣿⣿⣿⣧⣿⣿⠙⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣠⢀⠀⡄⣿⣿⣿⣿⣿⠉⣿⣿⣾⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣾⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣼⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣩⣉⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣿⣿⢿⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⣿⣿⣾⣴⠀⠀⠀ �� ???..ekil os ti teg tnod uoy ti hcraes tnod uoy ti teg uoy nrop hcraes uoy .slobmys/sobmoc ijome ruoy teg dna no evom peed taht ton sti gniyrc pots gmo ekil ..tenretni eht no neve yeht era yhw ”etis siht no era sdik“

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⠀⠁⡿⣿⣶⣶⣶⣶⣿⣿⣶⣶⣶⣶⣿⢿⠈⠀ ⠀⡟⣿⢀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⡀⣿⢻⠀ ⠇⣿⢸⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⡇⣿⠸ ⡇⣿⠈⠀⠀⠀⠀⠁⣿⣿⠈⠀⠀⠀⠀⠁⣿⢸ ⡄⣿⢸⠀⠀⠀⠟⣿⣴⣦⣿⠻⠀⠀⠀⡇⣿⢠ ⠀⣧⣿⠘⠀⠀⣀⢀⠀⠀⡀⣀⠀⠀⠃⣿⣼⠀ ⠀⠀⣧⣿⠈⠀⠀⠀⠟⠻⠀⠀⠀⠁⣿⣼⠀⠀ ⠀⠀⡀⣿⢸⠀⠀⠀⡀⢀⠀⠀⠀⡇⣿⢀⠀⠀ ⠀⠀⠃⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠈⠀⠀ ⠀⠀⡟⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⢻⠀⠀ ⠀⠁⣿⣿⣿⣿⣿⠿⠙⠋⠿⣿⣿⣿⣿⣿⠀⠀ ⠁⡿⣾⣀⠁⠈⠀⣀⣿⣿⣀⠀⠁⠈⣀⣷⢿⠈ ⡇⣿⢈⠀⡄⣴⠀⠀⣤⣤⠀⠀⣦⢠⠀⡁⣿⢸ ⡀⣷⢿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡿⣾⢀ ⠀⡀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⢀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣾⣤⣀⣤⣠⠀⢀⠀⡏⣾⣠⡀⣀⣷⣿⢸⠀⠀⠀⠀⠃⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣧⣿⣿⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⢀⡀⡀⡀⡀⡀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⠀⣁⡟⢷⠙⠈⠀⠀⣀⠀⣤⣷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠟⣷⣸⠀⠀⠀⠀⠀⠀⠁⡟⣾⢀⠀⠀⠀⡀⣿⢸⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠛⠛⠾⠶⠶⠶⠶⠶⠷⠛⠛⠙⠈⠀⠀⠀⠀⠀⠀⠀⡿⢸⠏⣼⢀⠀⡀⣦⠻⠙⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠋⠟⣿⣸⡄⣷⠹⠀⠀⠀⠀⠃⡿⣴⠀⠀⠀⠀⠀⠀⣧⢻⠀⠀⠀⠇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣾⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⣤⣶⢿⠈⠀⠀⠀⠀⠀⣿⣶⣿⢀⠀⠀⠀⠀⠀⣄⢷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀ ⠀⠀⠋⡾⣠⠀⡟⢀⠀⡀⣦⠻⠀⠀⠋⣿⢠⠀⠀⠀⠀⠀⠀⠀⡇⣿⠈⠀⠀⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠿⣼⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⠻⠟⠿⠻⡿⠘⠀⡀⣧⠹⠛⠙⠈⠀⣾⠀⡄⢷⠙⠀⠀⠀⠀⠀⠀⡀⣦⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⠀ ⠛⡶⣠⠀⠀⠃⢠⠀⠀⠀⠀⣄⢻⡟⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⢸⠀⠀⣇⣸⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣴⠠⠉⠉⠈⠀⠋⠟⣿⣿⢸⠿⠀⡂⣿⣿⣿⣿⣿⣧⢸⠀⠀⡏⣶⣵⣿⣿⢿⢿⠋⠿⢿⣟⢾⠻⠙⠈⠀⠀⠀⠀⡄⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣰⠀⠀⠀ ⢀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠏⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢸⠀⠀⡆⢸⠀⠀⠀⠀⠀⠀⠀⠇⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣠⠀⠀⣀⣿⣾⣧⣿⣟⣿⣿⣿⣿⠾⠷⣿⣿⢿⡶⣤⣤⢀⠁⡟⣿⠿⣶⣠⠀⣷⣾⣀⣆⠷⠙⠈⠀⣄⣤⢷⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡾⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⠈⠀⠀⠃⣿⢤⡇⣿⣿⣿⣿⣿⣿⠰⠀⣀⢀⠀⠀⠀⠋⠿⣿⣿⣨⢀⠀⠁⠋⡿⢸⠀⠀⠀⡀⣏⢿⠿⠿⡿⣴⣶⠿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡾⣠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⠻⠙⠀⣿⠀⠀⣄⣠⠀⠀⠀⠀⠀⠀⠉⠋⠛⠿⣿⣿⣴⣤⣤⣤⣤⣤⣯⣟⣾⣿⠘⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⣄⣷⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⡿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢀⠀⠀⠀⠀⠀⠀⠏⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⡟⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⠶⣤⣤⣤⣀⣄⣤⣶⠶⠶⠿⠿⠿⠿⠿⠿⡷⣶⣭⣿⣾⣤⣠⠀⠁⠋⠛⠟⡶⣿⣠⠀⠀⡀⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠋⠛⠛⠟⠿⡿⣿⣿⣿⣿⣿⣿⣸⣧⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠚⠀⠀⠀⠀⠀⠀⡟⣤⣾⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠀⠇⠿⡏⢻⠀⠀⠀⠀⠀⠀⠀⠏⣼⠀⠀⠀⠀⠀⠀⠀⠋⠞⣴⣀⠀⠀⠁⠉⠉⠛⠛⠒⠶⠤⠤⣤⣠⣀⠀⠉⡛⠟⣶⣭⢉⠋⠛⠾⡶⣤⣀⢀⠀⠀⣦⠶⠶⡿⣤⣦⢷⠛⠛⠛⠟⠶⠶⡶⣴⣤⣭⣿⣾⣶⣤⣤⣠⣀⢀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣦⣷⡟⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⢠⠀⣇⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⠀⠀⣆⢻⣿⠘⠀⠀⠀⠀⠀⠏⣾⠀⠀⠀⠀⠀⠁⠋⡿⣩⠛⠞⠶⣤⣤⣠⣀⢀⠀⠀⠀⠀⠀⠁⠋⠟⡿⣿⣿⣾⣶⣴⣤⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠉⠀⠁⠋⠟⡾⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⢿⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⢰⠀⠀⡆⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢠⠀⠀⠀⣿⣧⢸⠀⠀⠀⠀⠏⣾⠀⠀⠀⡴⠀⠟⣿⣾⣴⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠿⣿⣾⣴⣤⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠀⠀⠀⠀⠀⠇⣿⢿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢶⠙⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣿⢻⠈⠀⠀⠀⠀⠇⠿⠿⡿⣸⠀⠀⠀⠀⡇⡇⢻⠐⠀⠀⠟⣿⢀⠀⠏⠡⠟⡴⣠⢀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠾⠶⠶⣶⣶⣷⣛⠉⠉⠀⠦⠛⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠁⠟⡶⣶⣶⣠⣄⢿⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢃⠀⠀⠀⠀⡇⣿⣿⣿⢠⠀⠀⠀⠀⡿⡏⣾⠀⠀⡟⣾⢀⠁⡽⢟⣴⢀⠀⠁⠉⠋⠛⠶⡶⣤⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣦⠶⡻⣝⢯⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠾⣤⢀⠀⠀⠀⠓⠾⣵⣿⣟⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⠹⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠾⡴⣤⣤⣤⣧⣾⣿⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠿⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢟⡴⣤⣳⠈⠀⠀⠀⠀⡆⢿⣧⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣤⣿⣧⣿⠈⠀⠀⠀⠀⠀⠀⠀⠁⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⢀⠀⠀⠀⡀⢷⠘⠀⠀⠀⠀⣿⡇⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⣄⢷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⡶⣷⡟⣶⢶⠀⠀⠀⠀⠁⠋⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⣦⢻⠈⠀⠀⠀⠀⡇⢿⠀⠀⠀⠀⣿⡿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⢸⡆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⠻⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣴⣤⢀⠀⠀⠀⠉⠛⠿⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣷⣼⠀⠛⠀⣿⢿⠈⠀⠀⠀⠀⣿⠘⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⣿⣿⣿⢿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠛⠿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣤⣶⢻⣿⢀⠀⣿⠀⣿⣿⢿⠀⠀⠀⠀⡇⢻⠀⠀⠀⣿⣿⣿⣿⣿⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣴⣀⣦⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠿⠿⠛⠛⠛⠟⠿⠿⠿⠿⡿⣿⣾⣤⣤⣦⣿⣿⣿⣿⣿⣿⣾⣤⣀⣀⢀⣄⣿⠃⠇⣿⣼⠀⠀⣧⠿⣿⣿⣿⢻⠀⠀⠀⡇⣿⢸⠀⠁⣿⣿⣿⣿⣿⢿⠿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡇⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⢿⠻⠛⠉⠉⠋⠛⠞⣶⣿⠻⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣴⣤⣤⣩⣏⣿⣿⣾⣴⣀⣀⠀⠀⠀⠀⣧⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⣿⡟⡜⣷⢸⠀⠀⡇⣿⣿⣿⣿⣿⠘⠀⠀⡆⣿⢿⠀⡇⣿⣿⣿⣿⣿⣿⣿⣾⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠀⣼⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠀⣀⣿⣰⠀⠀⠀⣿⣿⠛⠀⡆⣿⣿⣿⣿⣿⣿⣀⠀⠀⠉⠟⠿⣿⣿⣾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⠀⠀⠀⡟⣿⣿⣿⣿⣿⢹⠀⠀⠀⣿⣿⠂⡟⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢛⠀⣆⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢠⠀⠏⣿⢠⠀⠁⠈⡟⣿⣾⢀⠀⠁⣿⣿⣿⣿⣿⢩⠟⡿⣿⣿⣿⣿⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⢿⠈⠀⠀⠀⠀⠀⠀⠀⡆⣿⣶⡟⢸⠀⠀⡿⣿⣿⣿⣿⣿⣿⠀⠀⠁⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⢰⣷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠧⠙⡄⢻⠀⣷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⢰⠀⠃⣾⢀⠛⠟⣿⣿⣿⣾⢀⠀⠋⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣯⢿⠘⠀⠀⠀⠀⠀⠀⠀⣿⠸⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⢸⠀⠃⣿⣸⡇⣿⣿⣿⣿⣿⣿⣿⣿⠁⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⣄⢻⣏⠘⡆⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣸⠀⠟⣽⠿⣿⣿⣿⣤⣿⣿⢰⠀⠟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣾⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠛⠟⣾⣴⣀⢀⠀⠀⠀⠀⠀⠀⠀⡄⣿⡏⣿⠹⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⢷⣜⣶⠿⠈⣷⢸⠀⠀⠀⠀⠀⠀⠀⠟⣿⢻⢋⡿⣿⣿⣿⣨⡏⣼⠀⡇⣿⠻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣫⢸⠀⠀⠀⠀⠀⠀⠉⠀⠀⠁⠉⠛⠛⠟⣿⣿⣤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⣏⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⠁⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠘⣦⠻⡉⢿⡌⣿⠘⠀⠀⠀⠀⠋⠟⣽⣛⣿⣶⣿⣿⣿⣼⣶⣿⢰⠀⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠉⠀⠋⠛⡿⣻⠿⡿⣾⣴⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣤⢶⡶⣤⣤⣤⣄⣤⠳⠛⠟⡿⣿⣿⣿⣹⢉⠋⣿⣿⣿⢻⠟⣿⠀⡇⣺⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⣶⣶⣥⣯⣿⣶⣠⠀⠀⠀⠀⠀⠀⣀⣄⣶⣷⣿⣿⣿⣿⣿⣿⡏⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣼⣿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣾⣠⢀⠀⠁⠟⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣦⡶⣶⣶⣴⣿⣿⣿⣿⣿⣿⣽⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠁⣿⠀⠀⠁⠟⣿⣴⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⣯⣽⡿⣿⣿⣿⣿⣻⡏⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡟⢸⠋⡟⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣦⣷⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⣢⣈⢀⠋⡨⠭⠼⠤⠦⠤⠤⠇⢿⠘⠈⠀⠥⠐ ⠀⠐⠈⠃⠀⣦⣤⣀⠁⠀⠀⢀⠐⡀⢦⠿⢐⠃⢀⠀ ⡂⢁⠩⣀⠐⠄⠁⠔⢀⠀⠀⠠⡀⠂⠈⠠⠀⠰⠀⠀ ⠀⠀⠇⠘⠚⠵⢭⠲⠁⠁⠊⠠⠉⠄⡁⠠⡰⠀⠀⠀ ⠀⠀⠀⣦⡓⠛⠞⠃⠀⡁⢌⠛⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠃⡟⡻⢽⠭⠙⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠒⣤⡀⣀⣄⢻⠉⢋⢀⠁⠀⠈⠀ ⠀⠀⠀⠀⠃⡿⢠⡈⢀⠺⣴⣥⣷⠹⡉⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⣿⣝⣎⠁⡋⣛⢟⡴⣄⣇⢂⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢿⠻⣿⢰⣃⣿⠹⠏⣠⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣤⣶⣶⡶⣾⣷⣀⠳⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡳⠀⠀⣄⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠾⢶⠑⠈⠀⠀⠟⠽⠚⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣶⠀⠋⣿⠿⠙⣄⠃⢛⡵⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⡂⣷⣿⣾⣰⠃⢇⡛⣋⡿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠊⠠⣄⠢⠈⠀⣈⠤⠤⢜⣀⣅⣤⣤⣠⡔⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⡠⡔⣊⣔⠀⠀⠀⡀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡎⠟⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠈⠀⠀⠃⢠⡴⡎⠀⠀⠀⠀⠀⠀⠀⠁⡐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠅⠯⢠⠀⠀⠟⢁⠀⠀⠀⠀⠀⠋⠳⠈⠁⠿⠈⠀⠀⠀⠂⠙⠈⠀⠀ ⠀⠎⣤⣼⢢⠛⠟⣿⢿⣻⠖⠶⠨⡉⠀⣀⠄⣏⣾⢠⣄⠀⠉⢈⣧⣿⠸⠀ ⠀⢿⡼⠀⠀⠀⣀⣤⣤⣠⠀⢀⠀⠀⡀⠅⣿⣿⢋⡻⢰⠉⡄⢻⡼⣿⣿⠀ ⠀⣾⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣻⣿⡿⣿⣾⣿⣿⣿⣷⠀ ⠀⠄⠑⢻⠉⠀⠁⠉⠉⠈⠀⠀⠀⠀⡇⣄⣿⣿⣿⣿⣿⣿⠸⣖⣿⣿⡸⠀ ⠀⠀⠀⣀⣤⢢⠐⠄⣤⣷⣠⠣⠀⠀⡀⠢⣾⣦⣷⣿⣿⣿⢿⡿⣼⣤⠻⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠛⠰⠀⠀⠀⠄⠂⣷⣿⣬⣄⣷⣬⣄⠶⡛⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣤⠀⠀⠀⠀⠀⠀⠀⠀⣄⠦⡶⢿⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⠋⢶⠓⠉⠀⠀⡀⣀⢀⠀⠁⠉⠛⠛⠛⢟⠿⣿⣿⣯⠤⣧⢾⠓⡙⠈⠁⠛⠶⠶⠶⠶⠿⠿⠿⠻⠛⠛⠟⠿⠶⣤⣀⣤⠶⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⡠⢀⠀⠀⡀⣁⣋⣚⣴⣤⣀⣀⣀⣀⣀⣀⣄⣦⣷⣿⢿⡻⡿⠋⠛⡿⣿⣿⣾⣴⣤⣤⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⠘⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⡈⣷⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⣿⣿⢶⠖⠲⠲⠒⠓⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⢀⠀⠀⠀⠀⠀⠀⡀⣄⠶⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⠙⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⢿⠻⠈⠀ ⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⠻ ⠀⠀⠀⠀⠀⠀⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣾⢁⠈⠀⠀⠀⠀⠀⠀⠁⡿⣿⣿⣶⣶⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⡀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⡟⢧⠀⠀⠀⠀⠀⠁⡞⣀⣞⣷⠀⠀⡀⣀⣥⣿⣰ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢣⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣼⠀⠏⢠⡄⠙⠀⠀⠀⠁⡿⢀⡏⢠⡇⠀⠀⠀⠃⡾⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣸⠁⠟⣰⠀⠀⣿⠀⠀⠏⣴⣧⣿⣿⠿⣸⠀⠋⡾⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠲⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠁⠟⣼⠤⠻⣾⢀⠀⠀⠀⣽⠋⡾⢠⠀⣿⣿⣿⣏⢿⡶⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⠀⣄⠲⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠉⠛⠾⣸⣫⢟⣶⢀⠀⠀⠀⠀⠏⣿⣨⠀⠉⡟⣠⡇⣰⣧⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⣄⠻⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠿⡿⣶⣶⣲⣴⣤⣠⠀⠀⠀⠁⠋⠚⡴⣀⣿⠀⡟⣠⣟⠛⣼⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⠀⠀⠀⠀⠏⢸⠀⣀⢦⠛⠈⠀⠀⠀⠀⠀⠀⠀⠁⡀⣿⠹⠀⠀⠀⠁⠉⠛⠼⣠⣀⢀⠉⠀⠀⡶⠏⣰⡟⣿⣿⢿⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠋⠴⣀⣀⣄⠤⠓⡙⣁⢧⠻⠘⠀⠀⠀⠀⡆⠘⡀⣷⠻⠈⠀⡀⣇⣿⢿⠴⣤⣀⣀⣀⢧⠹⣿⡿⣿⣿⣿⣴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠈⠀⢸⠀⠀⠀⠀⠀⠀⠀⣄⡦⢿⣟⠘⠀⠀⠀⠀⣄⠱⠀⣄⢷⠙⠀⡇⣼⢀⠀⠀⠀⠀⠁⠟⣾⣀⠋⡾⣏⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠶⢾⡝⠑⠀⠀⠀⠀⠀⠀⠀⠀⣄⢦⠀⠀⠀⠀⠀⠀⢆⠙⠀⣄⣶⡿⠙⠉⠈⠁⠋⠞⣤⢁⢟⡾⣠⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⣤⠶⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠒⠁⠀⣀⣤⣤⣦⢒⠖⠤⣠⢁⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⠀⠀⡆⢷⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠞⣤⢤⠶⠓⠛⠛⠛⠛⠞⡧⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠦⠓⠈⠀⠀⣿⢿⠛⠙⠀⠀⠀⠀⠋⠛⠶⠤⣤⢤⣤⢷⠘⠀⠀⠀⠀⠀⣾⢀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡇⢸⠀⣿⣿⣴⠀⠀⣤⣠⣤⣦⢶⠙⠀⠀⠀⠀⠀⡀⣷⠀⠀⠀⠋⡾⢀⠁⠾⡶⢹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⢲⠒⠐⢻⠈⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠘⠀⠀⠀⠀⡀⠀⠀⡿⣠⠀⠀⡜⢧⠒⠉⡈⣀⣤⢤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡷⢠⠀⠀⠀⡙⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⠀⠀⠀⠀⠀⣿⠁⠋⡜⢀⡄⠹⡀⣀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠸⠀⠀⡀⣿⣿⣿⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠄⣿⣴⣯⢀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⡆⠸⣄⢷⠙⠀⡀⣻⣉⢦⠿⠛⠉⠉⡏⢀⠀⠀⠀⠀⠀⡟⣩⠞⢠⠀⠀⠀⠀⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠹⠀⠀⠀⣆⠙⠀⣄⢿⠀⡟⣻⣛⣿⣶⣿⢷⣼⠀⠀⠀⠀⠀⠀⡾⣠⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠙⠀⠀⠀⣆⠙⠉⣏⠀⣷⡌⣿⣥⣷⣿⣴⠀⠀⠀⠀⠀⠀⠇⢰⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⢳⠈⠀⠀⣷⡋⢠⠀⡅⢻⠀⠁⡉⢉⠉⠋⠛⠘⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠤⢤⠤⠒⡟⣿⠸⠃⡟⢺⣧⣿⣿⣀⢀⢄⡟⢸⠀⠀⡇⢉⠀⠀⠁⠉⠋⠛⠖⠻⠈⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⠀⠀⣾⠀⡆⣿⣿⠀⠀⠀⣧⠀⠀⠃⣼⡀⣀⣀⢀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢹⠁⢹⠋⡾⢀⡄⢸⠀⠀⡿⠁⠋⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠄⣨⣆⣧⠾⣧⣾⣿⣿⡿⣷⠾⣷⣿⣿⣴⣿⣷⡿⣻⣿⣯⣿⣝⣯⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠋⡿⣿⣿⣿⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢉⠀⠀⠀⠀⠀⠀⠀⠉⠉⠚⠿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿ ⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣼⣻⣩⣋⣿⣿⣛⢛⣟⢻⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣿⣿⣿⣿⣴⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿ ⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠛⠿⠿⠻⡿⣸⠀ ⣀⣧⢻⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠁⠋⠿⣿⣤⣠⣀⢀⠀⣀⣧⢿⠈ ⠀⡟⣾⣠⣀⣀⣀⣄⣧⣶⢿⠻⠙⠈⠀⠀⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡶⣤⣉⠋⠟⡶⣷⣨⠀⡇⢸⠀⠀⠀⠀⠀⠀⣿⢸ ⠇⣿⢠⠀⠀⠀⠀⠼⡣⠀⢹⡈⣀⣤⢶⠷⠛⡙⣍⢳⠀⠁⠈⠀⠀⠀⠀⠛⠙⠁⢟⠿⣴⣠⣣⠉⠉⣾⢀⠀⡟⢠⠀⠀⠀⠀⠀⠀⡏⢸ ⡇⣿⠀⠀⠀⠀⠀⣷⡄⠱⣄⠳⠈⠀⠀⠁⡞⣁⣼⣷⠻⡿⢴⠀⠀⠀⠀⣄⣧⣾⢠⢆⠹⠈⠀⠀⠀⠁⠋⡴⢀⠀⠀⠀⠀⠀⠎⢡⣿⢰ ⡄⣿⣜⠱⠀⠛⠉⡟⠙⠉⢌⠲⣑⣉⣉⢊⠖⡠⠀⠀⣧⢹⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⡀⣄⠤⠤⡤⣀⠀⠀⠀⠀⠀⠁⠊⡠⠃⡿⣱⠟ ⢻⣆⢿⡘⢦⠐⡇⣀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣼⠀⠀⠀⠀⠀⠀⡆⢿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠴⣀⠁⠟⣿⣿⣿⣿ ⣿⢿⣝⣷⠻⠈⡄⠲⡵⠉⠀⠀⠀⠀⠀⠀⠀⠊⠐⠏⣾⢀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠻⠈⠀⠀⠀⠀⠀⠄⣀⠀⠀⠉⠟⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠻⠉⠀⠀⣀⢀⠀⠀⠀⠀⠉⠛⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣧⢿⠿⠻⠛⠛⠛⠿⠿⣾⣯⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠟⠿⠿⣶⣴⣤⠦⠒⠒⠓⠙⠀⠀⠀⠀⠂⠒⠖⠤⣤⣀⠀⠀⠀⣉⣛⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠉⠉⠁⠛⠛⠉⠉⠉⠉⠉⠁⠉⠉⠈⠀⠉⠉⠉⠉⠉⠛⠛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠠⠐⠁⠉⠛⠿⢟⡽⣊⠤⣀⠀⠀⣀⠀⠀⠀⡀⢆⠈⣿⠘⣇⡑⠌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠠⠀⠀⠀⡀⣿ ⠉⠉⠏⡿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢸⡇⢻⡃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡺⠀⠀⠀⠋⠀⣇ ⡀⣧⣿⣿⣿⣿⣿⣼⠀⠀⠇⣠⣆⠀⠀⠀⠉⠋⠉⠉⠟⣿⣼⢀⠂⢽⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⡤⢡⠀⠋⡾⢸⠁⡟ ⠋⣿⣿⣿⣿⣿⣿⠉⡉⣏⡸⠹⠀⠋⠿⣾⣿⣿⣿⣿⣾⣹⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠔⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠈⡠⠀⠄⠃⡿⣭⣿⢿⢿⣿ ⣿⣿⣿⣿⣿⣿⣱⣋⢟⣿⣿⣻⡿⣿⣠⠟⣿⣿⣿⣻⠿⡿⢿⠙⡟⢨⠀⠀⠀⠀⠀⠀⠀⠀⠂⡰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠔⠡⣖⢌⠐⢣⠛⣿⣿⣿⣿⣿⢰⣿⣿ ⣧⣿⣿⣿⣿⣿⣿⣿⣿⣾⣅⣿⣿⢀⡟⣿⣿⣿⣿⢛⠘⡀⣿⣿⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣠⠒⡤⣁⢋⠟⡿⣿⣿⣿⣿⣿⣿⣿⠟⢿⡿ ⣯⣿⣿⣿⣿⣿⣿⣡⣼⢀⡿⣿⣿⡟⣿⣿⣿⣹⠉⡇⢻⡿⣿⢻⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠁⠉⠖⡹⢫⠛⠟⡿⣿⢰⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⣿⣿⣿⣿⣿⢸⡿⠀⡇⣿⣿⣿⣿⣿⣿⣰⠀⣏⡿⣿⣿⣿⠱⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠁⠙⠛⡿⣼⣏⣿⣿⣿⣯⣿⣾⣾⠙⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇ ⣿⣿⣿⣿⣿⣿⢿⣿⠀⡿⣿⣿⣿⣿⣿⣸⠀⠏⣿⣿⢻⡿⣨⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠛⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣼⣞⡇⠂⣀⣀⣤⣥⣿⣦⣿⣧⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠙⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣹⢎⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠐⠀⠀⠁⠈⠉⠉⠈⠀⠀⣧⣿⣿⣇⣿⣿⣿⣿⣿⢃⢷⣣⢜⢩⠠⠀⠀⠀⠀⡀⢄⣶⣿⣿⣿⣿⣿ ⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣿⣨⣿⣿⢦⡙⠦⣊⠐⠈⠀⠀⠀⠀⠈⠁⠂⡀⠑⠌⠊⢣⠆⢋⢓⠶⣬⣤⣠⣄⣀⣀⣀⣤⢤⠶⣷⢠⡿⣿⣿⣿⣿⣿⣳⣹⢦⡜⠒⢈⠀⠀⠀⠀⠀⠀⠀⢤⣇⣿⣿⣿ ⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡅⣿⠿⣿⢲⣝⠣⢦⠔⢫⠔⠊⠁⠃⠄⠙⢢⡱⢆⡩⠜⢫⢽⣦⣈⠰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣐⣦⣿⣿⣿⢡⣻⢦⡙⢦⡙⢦⡈⠐⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿ ⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣾⣾⣷⣬⣹⣦⣵⣮⠿⡹⢞⡡⠜⡪⠕⣣⡙⢧⢏⡷⢤⠘⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⣷⣿⣿⢞⣡⠜⢣⡄⢻⢄⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿ ⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣬⡜⢂⢠⡄⠀⣀⠠⢄⠡⡰⣯⢷⡩⢞⡡⠶⡙⢾⣹⠣⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣹⠜⢣⠡⢠⠀⡄⢳⡈⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷ ⠀⠀⠁⣿⣿⣿⣶⣿⣿⣿⣿⣿⣷⣌⠰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡡⣦⠿⣩⡼⡟⢼⡑⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢺⡕⢃⠠⠀⠀⠀⠀⣄⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⡄ ⠀⠀⡇⣿⣾⢀⠀⣄⣷⣿⣿⣺⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡃⢦⡝⣽⡘⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡂⠑⢀⠀⠀⠀⠀⠀⠀⣯⠿⠙⠈⠀⠀⠀⠂⡀⢇ ⠀⠀⣿⣾⢀⠀⠀⠀⡇⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡁⢬⡹⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢁⠠⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⢿⠙⠀⠀⠀⠀⡏ ⠀⠀⡷⢸⠀⠀⠀⠀⡇⣼⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⡔⡝⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠗⠟⠻⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣻⣷⢿⠻⠏⡟⢿ ⠀⠀⡆⣌⠐⠀⠀⠀⠀⢸⠘⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡌⡚⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣲⢴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣻⣿⢾⣤⣀⣀⣦ ⠀⠀⠀⢆⡘⠡⠀⠀⠀⢣⠁⡛⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠌⣿⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠘⠀⠀⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⢾⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠳⢌⠉⠀⡀⣧⡘⣦⡖⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡝⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⢰⠀⠁⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣇⣿⣿⣿⢣⠙⠉⠋⡸ ⠀⠀⠀⠀⠀⠀⣄⡷⠻⠀⡀⣷⢿⠲⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡶⠘⠀⡿⣸⠐⠀⠀⠀⠀⠀⠀⠋⡴⣿⣿⣿⡿⣿⣿⢿⣿⣯⡷⣟⡴ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠳⠙⣿⠻⡀⢄⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡾⣠⠜⢀⠖⣾⡔⠈⠀⠁⠋⠛⠾⣤⢀⠇⣿⣿⣿⣿⣿⣿⣿⣾⣟⣾⣠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⢻⠈⡆⣿⠻⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⣿⣿⢶⣁⠐⠀⠇⢾⣉⠟⣿⣾⣤⣀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣴⣟⣿⣼⢀⠀⠀ ⠀⠀⠀⠀⠁⠛⠛⠒⠀⠀⠀⠀⡀⣷⣿⣿⢿⣿⣿⣿⣿⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⠀⠀⠁⠉⠛⠟⣿⣿⣿⣿⢊⠄⢀⠀⠀⡟⢿⣶⣠⢀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⣿⣼⠏⣷⣿⢀⠀⠁⠚ ⠀⠀⠀⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⡞⣿⣿⢿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⡿⣾⣿⣾⣏⣿⣠⠀⠁⠊⠟⡿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⣿⣿⣿⣿⢋⣿⣿⣰⠀⠞⣣⢡ ⠀⠀⠇⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣷⣿⣿⣿⣿⢻⣷⣾⣝⣧⣾⣽⣦⣿⣿⣻⠆⠘⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⠀⣿⢿⠀⠇⣹⠟⣿⣼⡀⣄⢿⠈⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣾⢠⠃⡴⡕⢪⡰ ⠀⠀⣟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣾⡿⠦⣈⡖⢹⡄⢻⡈⣷⣿⣿⢰⠁⠂⠁⢀⠌⠂⠁⠀⣷⣿⣾⢿⣿⣿⢻⣇⣿⣿⣿⢠⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⠛⡾⢀⠒⠉⠀⠀ ⠀⠀⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢺⡅⣿⣿⣶⣍⠢⢄⡀⠀⣇⠰⡆⢿⡎⣿⣽⢈⡱⠆⢉⡰⠌⢃⠐⠳⡘⣬⣷⡙⣤⣷⣿⣿⣿⣿⣿⠂⠈⠀⠀⡄⠸⠀⠀⠀⠀⠀⡁⣿⣿⣿⣿⣟⣿⣾⢀⠀⠀⠀⢏⠟ ⠀⠀⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢽⡏⣼⣣⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⢺⡔⡙⠤⢛⡾⣕⢊⡰⢓⣌⢶⠶⡾⣷⣿⠿⣿⣿⣿⣿⠸⡀⢢⠁⠀⣏⠙⠀⠀⠀⠀⡟⣿⣿⢷⣿⣿⣼⢀⠀⠁⠟⣵⣿⣴ ⠀⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠆⣏⣿⣿⢶⣋⠞⣻⣧⡌⠲⢏⡷⠛⡄⡜⠣⢌⠲⠍⣛⣮⣷⣿⣿⣿⠛⢉⠛⡸⠀⣄⢿⠉⠉⡟⣿⣿⣾⣿⡿⣽⠻⠁⠟⣴⢋⣾⢀⠀ ⠀⠀⠀⣧⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠻⠎⢣⣟⣿⣿⣷⣛⣆⠜⢪⡴⢙⣦⢛⣄⢺⡜⠳⢎⢡⡴⠎⣇⣯⣿⣿⣿⣿⣿⣿⠿⠿⠻⡿⣿⣿⣿⣿⣿⣯⣽⡾⣧⡾⣽⢃⡾⣠⠀⠁⡗ ⠀⠀⠀⠀⢆⠈⠀⠀⠀⠀⠀⠀⠁⡟⢦⢀⠀⠀⠋⠾⠶⠒⠈⠀⠃⡿⢮⣙⢿⣿⣿⣿⡿⣿⣼⠿⣏⣚⠗⣈⡿⢼⡒⠜⠣⣆⣻⡜⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣟⢰⠀⣿⣿⣼⢀⠀⠞⣻⣰ ⠀⠀⠀⠀⠀⠆⠘⠀⠀⠀⠀⠋⣳⡰⢀⠀⠀⠞⣠⠀⠀⠀⣆⠈⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⢽⢻⡿⣿⣴⠏⣁⠲⢎⣃⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣾⠀⡟⡾⢾⢸⠋⡳⣾⢠⠀ ⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠟⣬⡰⠀⠀⠀⡜⠀⠁⠟⣾⢶⠓⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣾⣱⣏⠖⣠⣀⣄⢤⡲⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⢾⢸⠏⣼⢀⣇⣷⣟⣴⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢿⠀⡞⢳⣀⠀⠀⠀⡄⠀⠏⣴⢀⠀⠋⠣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣵⢏⡼⢀⠀⠀⠉⠉⠀⠀⠀⠀⣀⣄⣶⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⣾⡿⣞⣿⣼⠀⠀⡞⣟⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⡾⣜⠠⠀⠀⠀⠀⠀⠏⢠⠀⠀⠏⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⡿⣠⠀⠀⠀⡀⣤⣠⣤⠀⠀⠄⣀⣀⢎⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣟⣾⢀⠀⠟⣾⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⣹⢀⠀⠀⠀⠀⠀⠇⢠⠀⠀⠇⣸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⠚⠤⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⡀⣁⢡⣌⣷⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⡿⢰⠀⠏⣾⢀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⣼⠐⠀⠀⠀⠀⠀⠁⣸⠀⠀⠋⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⣰⢀⠀⠀⡀⢆⠻⠌⠙⣤⠀⠀⠀⠁⠋⡒⠉⣬⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⠀⠁⣿⢀⡇⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⣘⠀⠀⠀⠀⠀⠀⡇⢠⠀⠟⣿⣿⠃⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⠂⠀⠐⠀⠀⡂⣷⣿⡻⢟⠙⠀⠗⣼⣫⢾⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠀⡟⢸⠁⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⡴⠈⠀⠀⠀⠀⠁⠁⣼⠀⡞⣇⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣚⠡⣉⡙⠉⠉⢄⡸⣿⣿⣿⣿⢿⡹⣶⣿⣿⣿⣿⣼⣧⣧⣿⣿⣿⣿⡷⣿⣿⡏⣾⠀⡿⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⣺⢌⠀⠀⠀⠀⠀⠰⡟⢸⠃⢠⡏⣿⣷⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠟⣾⣩⣚⠗⠉⠏⣽⣿⣿⣿⣿⣿⣿⢿⣛⣦⣿⣿⣿⣿⣞⣿⣿⣿⣷⣯⣿⢾⣿⢰⡟⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⢒⢈⠀⠀⠀⠀⠀⢃⣿⢀⡇⣭⣢⢍⢣⡿⢿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢯⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⢿⣿⣿⣏⣿⣿⣯⣿⣿⣿⣽⡟⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡽⠎⠀⠀⠀⠀⠀⠀⡟⣸⠀⣾⠃⢆⢋⣿⣧⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣴⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣽⣿⢿⣾⣻⣿⢿⣯⣿⣿⣽⣻⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢾⠃⢀⠀⠀⠀⠀⠁⣿⢸⡞⣀⠘⢣⣿⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣈⣿⣿⣿⣳⣿⣿⣟⣿⣯⣿⣿⣿⣯⣿⣯⣟⣿⢿⣯⣿⣿⣻⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠼⢨⠱⠀⠀⠀⠀⡏⣿⢰⠀⢌⠃⣿⣿⣿⣿⣴⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣷⢯⣷⣿⣯⣱⢾⣯⡵⣿⢾⣟⣿⣽⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⣻⢌⠣⠀⠀⠀⠇⣿⣼⠉⡔⠋⣿⣯⣿⣽⢋⡾⣴⣠⢀⡄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⡿⣶⣫⣵⣟⢺⣹⣿⣏⣻⣼⡟⣿⣾⣝⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢻⣌⠐⠉⠛⠟⢿⣿⢹⠛⠿⣻⠿⣶⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣞⣿⣿⣽⢾⣻⣷⢟⣯⡽⣾⣛⢿⣽⡾⣟⣿⣻⣗⢯⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣄⣀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣯⡽⣿⣿⣿⣿⣽⣻⣷⣟⣯⡷⢯⣳⣽⢾⣿⡯⣿⣿⣞⡳⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣷⣿⣿⣿⣿⣏⣿⣿⣽⣿⣿⡾⣟⣿⢾⣿⣿⣿⣾⣟⣯⡷⣟⣳⣟⣳⡾⣟⢾⣿⢯⣿⣏⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠘⠂⠀⠀⠀⠀⠀⠁⠀⠊⠁⠠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡇⣿⣤⣷⣿⣿⣿⢿⣯⡾⣟⣿⣿⢾⣿⣯⣿⣿⣟⢯⣳⣽⡽⣾⡽⣻⣵⢾⣟⢯⣽⢯⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢌⡰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣵⣀⢀⠈⡁⣬⣷⣾⣶⣿⣻⣿⣿⣿⣿⢿⣿⣿⣿⣟⣻⡿⣟⢯⣽⠿⣯⣝⡿⣯⡟⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠐⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⡆⡀⣀⣀⠀⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠦⠙⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠈⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⡜⠳⠈⣯⠚⡷⢿⠂⠑⠉⠀⠀⠀⣇⠢⠈⠉⠐⣋⠣⠤⣀⠤⠒⠁⠀⠀⠀⠀⠀ ⠉⠀⣜⣇⠱⠄⣧⣚⢿⣿⠙⠂⠒⠸⠎⢀⠀⠀⠀⢆⠈⠀⠀⠀⠀⢀⠢⠀⠀⠀ ⣧⡏⠀⡇⣁⣛⣬⢀⣄⡷⢀⠀⠀⢣⢀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠄⠘⠀ ⡆⣺⠏⠓⣿⣿⣻⢔⠆⡿⠈⠀⠇⡀⠀⠀⠀⠀⠀⠀⡀⢵⠐⠈⠀⠀⠀⠀⣥⠡ ⠀⣡⠉⠟⢲⢌⠒⠚⡤⠀⢸⠀⠀⠈⠈⠀⠀⠀⠀⠀⡆⠀⠡⠄⠀⠀⠁⣮⠒⡕ ⠀⠀⣢⠓⠝⣫⡞⠀⠀⠉⢸⠀⠀⢡⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠤⢦⡜ ⠀⠀⠀⠀⡀⢀⠀⢃⡈⠀⡄⢌⠂⡈⠱⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢺⠶⡬⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⢡⠀⡀⣂⠪⢋⠔⣦⡧⠸⠀⠀⠁⠳⢗⡀⠢⡚⠱ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⠃⡠⣀⣆⣈⣆⢋⠈⠊⠪⢬⠐⠤⢈⣁⡰⠀⠀⢺⡗ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠢⠀⠂⠒⢄⡠⠀⠀⢀⠀⠀⠀⡆⣏⢑⠈⠚⡡⠒⢀

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⣤⣷⠀⠀⠀⠀⠀⠀⠀⠀⡆⠈⣧⣩⣓⣼⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠃⣶⣶⣶ ⠀⡄⢹⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡼⠀⠀⠀ ⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣠⠘⠀⠀⠀ ⠀⠀⠀⣎⠳⠈⠀⠀⠀⠀⠀⠉⠊⠴⣨⣀⣄⠧⠒⠐⠃⠚⠗⣠⢹⠀⢱⠀⠀⠀ ⠀⠀⠐⠎⠀⣁⢶⠤⠤⡤⣀⢀⠉⠒⠒⠑⠁⠀⠀⠋⡴⠤⡤⠱⡔⠄⠸⠀⠀⠀ ⠀⠀⠀⠀⠇⠀⠀⠔⠀⠀⠀⠀⠀⠍⢭⣖⢀⣎⣤⠆⠘⠀⠀⡀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠈⠀⠀⢵⠯⠀⠃⠓⠹⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⡈⠀⡁⠰⢀⠢⠀⠀⡀⠢⡇⢀⠀⢻⠀⡴⣁⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠐⣔⢀⠀⠀⠀⠈⠀⠁⠐⡆⠈⠁⣸⢄⠧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣛⡻⡴⠴⣦⣠⣀⣀⠀⠀⠀⠀⠀⣀⣀⣀⢤⠤⠲⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⡴⣠⠀⢀⠀⠀⠀⠀⠀⠋⠗⠿⠯⠷⠺⠙⠀⠀⠀⠀⠀⠀⠀⣄⠦⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⡤⢀⢀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣭⡿⢯⣫⣷⣟⣯⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠑⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠜⣐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢯⣹⢿⣳⣞⣽⠿⣳⣽⢻⠀⠀⠀⠀⠀⠀⠉⠛⠙⠈⠀⢆⠱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠎⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⢿⣳⣞⡽⣻⣷⣛⡽⣷⡞⣿⢿⠘⠀⠀⠀⡇⣹⠐⡠⣿⠀⠀⠀⢄⠑⠀⠀⠀⠀ ⠀⠀⠀⠁⡴⠐⠀⠀⠀⠉⠁⠉⠀⠀⠀⠀⠀⠏⣿⣿⣿⣻⣿⣟⡿⣿⡿⣟⣻⣿⣿⣿⣿⠙⠀⠀⡀⢳⡠⠇⣹⠉⠈⠀⠀⡀⢣⠈⠀⠀ ⠀⠀⠃⣰⠀⠃⠝⣣⣞⠭⣹⠼⣞⠭⠹⠀⠃⣿⣼⣦⣶⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣴⣷⣿⠘⠁⠉⡶⢿⣶⡭⠽⣣⣝⠮⠑⡀⢆⠘⠀ ⠀⠁⣰⠀⡜⢯⡜⢯⡖⢎⡳⡝⢧⣚⡝⢧⡟⣿⢠⠀⠉⠛⠛⠉⠉⠉⠉⠉⠛⠙⠉⠀⡆⣿⢿⠾⣩⢷⣋⢧⢭⡳⢬⡻⣍⢳⢫⠀⢧⠈ ⠀⡾⠘⡇⡼⢞⡱⢻⣥⣛⢧⡖⢪⡵⡞⢣⣿⣿⢿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣶⣶⣷⣿⡿⣿⣾⢳⣞⠮⣙⢶⡝⢫⣱⠷⣎⠭⢲⢸⠀⢻ ⣗⠣⠼⣴⣦⢷⣹⠷⣣⠵⣫⡴⣛⣲⡝⢳⣯⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣞⢧⡖⢝⣫⡴⢛⣱⡻⢦⣛⣍⡶⢘⠀⢼ ⡜⣹⠌⠣⢄⠐⣿⡳⢦⡹⢳⣭⠳⣮⡜⠽⣰⠀⠋⠼⢷⠸⠀⠀⠀⠀⠀⠀⠀⠗⡼⠳⠙⠀⣦⣛⣣⠶⢏⣥⡹⡶⠝⣮⠗⣩⡾⢀⠀⣺ ⢸⣇⠘⢁⡰⠏⣽⢯⣦⡝⡳⢎⢳⢯⣟⡳⠼⣼⢣⡞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⣘⣬⠷⢳⣻⣝⢮⣓⡳⣎⠹⣳⢯⡴⢀⠀⠀⣺ ⢸⠀⣧⡘⠟⢰⡀⣀⣽⣻⣾⣷⣶⢷⡹⠻⢖⡿⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣾⣷⢿⡻⡝⡛⡾⣷⣶⣶⣟⡾⣀⢀⠀⠀⠀⠀⢺ ⢸⠀⠀⣄⢀⠀⠀⠀⡄⢻⠌⠢⡄⠐⡋⢿⠟⣾⣶⣷⣿⢸⠀⠀⠀⠀⠀⠀⠀⡇⣿⢻⡿⣶⣶⣿⢙⡈⠐⠤⡉⡞⢀⠞⡼⢦⠷⠙⠀⣻ ⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣠⣆⣿⣿⣿⢀⠁⠉⣏⣼⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣼⠀⠁⡉⣿⣀⣤⣤⣀⠀⡿⣈⠒⢌⠂⣇⠸⢺ ⣖⠈⠀⠀⠀⠀⠀⠁⠛⠿⠿⠿⡿⣿⣿⣿⣿⠿⡿⣿⣿⢨⠀⠀⠀⠀⠀⠀⠀⡅⣿⣿⣿⠿⣿⣿⣿⣿⢿⠿⠿⠻⣿⠄⠣⢁⢠⡏⢰⢼ ⠀⢳⠀⠀⠀⠀⠀⡄⣦⣴⣤⣤⣤⣀⣀⣄⣤⣤⣶⣷⣿⣿⢺⠀⠀⠀⠀⠀⡷⣿⣿⣶⣴⣤⣤⣤⣀⣀⣄⣤⣤⣶⣴⢷⠈⡰⠏⣰⠀⢼ ⠀⡀⡸⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠛⠿⠿⠛⠛⠛⠉⠈⠀⠀⡀⢧⠟⣠⠀⠎⣠ ⠀⠀⡄⡝⠘⠀⠀⠀⠁⠛⠛⠿⠿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⣿⣿⣶⣴⣦⣶⣷⣿⣿⣿⢿⠛⠀⠀⠀⠀⠎⢠⠀ ⠀⠀⠀⡀⡣⠱⠀⠆⣿⣿⣶⣶⣶⣤⣶⣶⣿⣿⢿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣶⢠⠁⠓⠜⢀⠀⠀ ⠀⠀⠀⠀⠀⢆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⠿⠿⠈⠀⠀⠀⠀⠀⠀⣆⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠦⠉⠀⠀⠀⠀⠀⠀⠀⠀⠆⣾⣴⣧⣿⢸⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⢑⠪⠉⠀⠀⠀⠀⠀⠀⠀⡇⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⡠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⢑⠩⠀⠀⠀⠀⠀⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠤⡢⠓⠉⠉⠉⠈⠁⠀⠀⠀⠀⠉⠉⠉⠉⠛⠼⡬⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠆⣈⣀⣀⢀⠸⠁⠚⡰⣖⣛⠐⠀⠂⠓⠒⠂⠒⠑⠃⡿⠾⠘⠀⠞⠤⠤⠂⠓ ⠀⠀⠀⠀⡀⠱⠀⠀⣇⣿⢻⠙⣿⡴⠀⠀⠀⡀⠑⠈⠀⠀⣆⣿⡸⢇⠋⢰⠀⠀⠚⡠ ⠀⠋⠴⠤⠤⡆⠘⠀⡀⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⣄⠙⠀⠀⣀⡦⣿⣾⠠⠀⡎⠀⠀ ⠇⡼⠤⠐⠀⠤⢳⠀⠀⡆⠈⠀⠁⠞⣠⠀⠀⠀⠁⠀⡄⠢⠈⠀⠀⡎⢀⠀⠃⢠⠀⠀ ⠀⢄⠦⠀⠂⠘⡀⠘⠀⠀⠁⠔⢀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡀⠤⠑⢀⠀⠀⡸⠀⠀⠀ ⠀⠀⠀⠀⡇⢸⠃⡖⠱⡨⣀⢧⠺⠁⠀⠀⠀⠉⡰⠀⠀⠋⠴⠀⠀⢄⠢⡤⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⢿⡝⠲⠒⡀⣇⡗⢇⠀⢀⠀⣶⠑⢄⠙⡠⠀⠀⠀⡀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⢦⠷⠷⠿⣦⡀⠈⠒⠄⡀⠀⢳⡿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡄⣧⠀⣠⠀⠀⠀⢩⠀⣥⠛⣟⣿⠴⠢⠙⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠃⠙⠃⠚⣶⣶⣿⣽⣤⣤⣦⣌⣷⢤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⠴⣠⣀⠀⠀⠀⠀⡄⣿⠙⠉⠉⢏⠀⠀⠀⠐⠀⠚⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠟⡿⣾⢀⠄⡤⠁⠊⠴⠿⣾⣗⣼⣿⣘⣀⣀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢺⠗⠿⠀⠀⢶⣉⢉⠉⡔⠁⣿⢿⠛⠻⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⣿⡿⢿⡠⢁⢠⠀⠉⠋⠟⠙⣿⣼⣀⠀⣠⣇⢺⠓⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣶⣿⣹⢉⠇⡿⣸⣄⣷⣿⣿⠙⠀⠀⠿⣾⢸⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⣷⣿⣿⡿⢿⠵⠀⡃⣟⣿⣿⠙⠟⣸⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣶⣿⣿⢿⡿⣿⣾⣿⣠⣀⣦⠹⡇⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠹⡇⢹⠀⠀⡄⣷⢼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢷⢽⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀

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⣿⣿⣿⣿⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠎⣠⠀⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⡀⣤⣷ ⣿⣿⣿⣶⢈⠀⠀⠀⠀⠀⠀⠀⠁⡜⢀⠀⠀⠀⠀⠀⠀⠃⠠⠀⠀⠀⠀⠀⠀⡀ ⣿⣿⣰⠀⠀⣀⠤⠓⠉⠊⠖⠦⣑⠈⠆⠀⠀⠀⠀⠀⠊⢠⠀⠀⠀⡀⠀⠀⠀⠀ ⣿⣸⠀⠀⠀⠀⠀⠀⣄⠙⠀⠀⠀⠀⣀⠄⠢⠐⠉⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠀⠀⠀⠀⠀⠀⠀⠀⡀⠘⠀⠀⠀⠀⠀⠀⡄⢈⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠁⠀⡆⠈⠀⠀⠀⡀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢅⠲⣤⠺⠔⠤⠘⠄⠀⠀⠀⠈⠀ ⠀⠀⠀⠄⠤⠠⠔⠦⠤⠀⠀⠀⠀⠉⠁⠝⡈⠒⠛⡟⣿⠿⠙⢸⠀⢁⠀⠀⠆⠀ ⠀⠀⠀⠀⠀⡇⠛⢸⠀⠀⠀⠀⠀⠀⡐⠀⠀⠁⣿⣿⣿⣠⠀⡄⠘⠀⠰⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣞⢈⠀⠀⠜⠐⠀⡌⠀⠀⠜⣀⣏⣴⣀⠠⠁⠎⢦⠙⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⢸⠟⠿⠹⠀⠃⢀⠀⡎⢤⢀⠀⠀⠀⡏⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢷⣿⣀⣠⣀⠸⡁⠀⠀⢋⡠⠧⠐⠀⡤⣦⡿⣻⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⣼⢣⠛⠟⢸⡀⢿⠿⣿⢼⢈⠀⠀⠃⡻⣴⣿⢹⠁⠀⠀⠀⠀ ⠀⠀⡀⠘⠀⠀⠀⡀⡦⣿⣶⢀⠀⣮⣿⣶⣶⣼⠛⠁⡀⢋⠿⣿⣿⡸⠀⠀⠀⠀ ⠀⠀⠀⡀⠐⠀⠀⠀⠀⠀⠠⠀⠀⣇⢿⠿⠿⣿⣿⣳⠫⣧⣼⣣⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀⠀⣆⠉⡉⣿⣿⣿⣿⣿⣡⡚⢆⢱⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⣐⣉⣅⣞⣓⣼⡄⢿⡘⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⢷⠑⣄⠉⡉⣦⢰⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣸⢄⠑⠈⠀⠀⠀⠀⠀⠀⠁⠝⢀⠀⠀⠀⠀⠀⠀⠉⠟⣻⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡀⢼⠤⠤⠀⠿⡶⣤⣄⢤⠿⠘⠀⠤⠤⣹⢉⣿⣤⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⣿⠀⠀⡆⢀⠀⠀⠁⣿⠖⠲⠒⠒⣶⢸⠀⠀⠀⣄⡄⣶⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⡏⢹⠀⠀⠀⠀⠁⡽⠈⠀⠀⠀⠀⠀⡇⢠⢄⠑⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠟⣫⢿⠿⣸⠉⡖⣶⠴⡤⢣⠋⠓⠟⣴⠤⣤⣶⠱⠉⠯⠿⣻⢙⠉⠀⢄⠑⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣿⣿⣶⣷⣿⣾⢀⠀⠀⠀⠀⠀⠀⣀⣀⢀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣾⣷⣿⢿⠘⢄⠑⠀⠀⠀⠀ ⠀⠁⡏⣴⣀⠀⠀⡟⣿⢹⠉⠊⠒⠒⠒⠙⠛⠀⠀⠀⠳⠊⠒⠓⠒⠑⠉⡇⣿⢸⠀⠀⣄⢧⠉⠀⢄⠈⠀⠁ ⠀⣳⡾⠀⠀⠀⠋⣿⣼⣀⠋⠿⣿⣿⠶⡷⣸⠀⠀⠀⡇⢶⡶⣿⣿⠿⠘⣄⣷⢿⠈⠀⠀⠀⣿⠀⠀⢰⠀⠀ ⠀⠀⢹⠉⠛⠿⣿⣿⣠⣀⣀⢀⠀⠀⠀⡞⠀⠀⠀⠀⠀⢳⠀⠀⠀⡀⣀⣀⣤⣿⢿⠻⠙⠉⣿⠈⠇⠀⠀⠀ ⠛⠈⣿⣿⣾⣴⣤⣿⠙⠀⠀⠀⠁⠋⡴⢀⠀⠁⡴⠘⠀⠀⢦⠙⠈⠀⠀⠀⠏⣿⣤⣦⣷⣿⣿⢠⡇⠉⠀⠉ ⣇⠀⡇⢀⠀⠀⠀⣿⣿⣟⣿⣬⣀⢿⠿⠿⠿⡼⠀⡆⠿⠿⠿⠿⣜⣤⣿⣿⣿⣿⠈⠀⠀⣀⣼⠀⡄⢠⠀⣤ ⠀⢧⡿⠿⠿⣿⣿⣿⣿⣿⣿⢻⠁⣿⣿⣩⣉⢠⠀⠀⣹⣍⣿⣿⢸⡏⣿⣿⣿⣿⣿⣿⠿⠿⢿⠚⠀⠀⠀⠀ ⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣤⣦⠈⠀⠀⣼⣤⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠃⠀⠀⠀ ⠀⠀⡄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⢹⠀⠉⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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