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Does there exist a mine configuration where the only solution to save 1 click over the 3BV requires 2 or more chords where for each chord the (flags placed around the chorded cell and no other previously chorded cell + 1) > (3BV uncovered by the chord)? If not, can you prove that such a configuration does not exist? _____________________________________________________________________ 🦆🏳‍🌈 (any/all) Please join the Minesweeper Community Discord Server! https://discord.gg/TXgnGpRtfJ Other servers I would recommend: IMESA: https://discord.gg/q26vrsMjfQ Chord Cup: https://discord.gg/wRMVpqt7yY Flotto: https://discord.com/invite/Knt2RM2Pum Spanish Community: https://discord.gg/utMyv79dXc Team Orange: (ask for invite) ZiNi Guide (heart would be appreciated) https://docs.google.com/document/d/1dVxVY8lpIzVsODpW6sFEJMhsHD0v7vMf-TsBbu_Mx-U WIP Efficiency documents: Maximum 3BV Cl Sequences https://docs.google.com/document/d/1WTUeBEMDRHKrn1pKv4HTB84JXU34EJQv2x4-cyy7wzM Sub-neutral Chording https://docs.google.com/document/d/1j6AaOIAVCRYVbgzPn7Qsf-C1A6UzmSQRdFYd-trFdlM Four non-trivial principles of Minimum Click Efficiency: (1) Split Chords are superior to One-sided Chords (2) Opening Predictions = Setup Clicks (3) Key Squares > NF Clicks > (2) > Split Chords (4) Prioritise clicks closer to the edges of sections Notions I support for the site: > Remove hints in High Difficulty > More statistics and rankings > More and clearer resources for improving at Minesweeper > Remove the EMC > Simplify the economy > Clearer communication and transparency from WoM Sub ZiNis on intermediate (legacy): https://minesweeper.online/new-game?g=1352462612 LZNE PB (FWR) https://minesweeper.online/new-game?g=3719953659 Sub L_ZiNi in under 14s https://docs.google.com/document/d/1fkn4g8NROCIUEikusaWz9sbqe8p9-XXiiNi_HJMfnH4/edit?usp=sharing https://minesweeper.online/new-game?g=2765792625 LHZNE PB (FWR) Eff fails: https://minesweeper.online/new-game?g=2380300029 1.48 +1l exp loss (insane game) https://minesweeper.online/new-game?g=2749029809 LZNE WR fail (missclick) https://minesweeper.online/new-game?g=2957014525 1.83 -6lh max https://minesweeper.online/new-game?g=2455516904 1.85 loss https://minesweeper.online/new-game?g=1914568929 1.84 loss https://minesweeper.online/new-game?g=3244363358 1.81 -4 loss https://minesweeper.online/new-game?g=1579528095 Really cool eff game I helped with (Oskain) Boards of intrigue: https://minesweeper.online/new-game?g=598973254 29 3bv with a 6 on beg https://minesweeper.online/new-game?g=702258953 7 on beg https://minesweeper.online/new-game?g=1535150017 Another 7 on beg https://minesweeper.online/new-game?g=3828333405 23 3bv int https://minesweeper.online/new-game?g=5693430815 25 3bv int https://minesweeper.online/new-game?g=648098179 26 3bv int https://minesweeper.online/new-game?g=906740767 Another 26 3bv int https://minesweeper.online/new-game?g=4883141338 27 3bv int https://minesweeper.online/new-game?g=1191441365 Symmetry https://minesweeper.online/new-game?g=1684843625 -6l potential https://minesweeper.online/new-game?g=3464377082 -12lh potential https://minesweeper.online/new-game?g=880497667 101 3bv exp https://minesweeper.online/new-game?g=5560938458 6 7 Bounties: > Sub (-1) L_ZiNi on expert Prize: a lot > Congratulations to 0716 for beating my minimum thrp bounty! https://minesweeper.online/new-game?g=3170076962 Highest found IOE boards: Beg 258%, Llama: https://minesweeper.online/new-game?g=4116811644 Int 222%, Lorinda, found by Thrainos: https://minesweeper.online/new-game?g=3425322555 Exp 203%, Youngling, found by SilentSlendy https://minesweeper.online/new-game?g=5138040164 An interesting unsolved problem from Llama: For an infinite board size, at what density does the average opening size become infinite? Thank you so much to the Minesweeper livestreaming community for entertaining us all! (I may have missed some / some may no longer stream minesweeper. DM to be added or to add someone else) davetheepic04, onion_daddy_, croccywoccy, mustbetom, robinfromdenmark, lilgooslem, itsxillya, bigbremily, 9hournap, dardhong, gini5525, dilemma7877, serkian, michaelhz, cjfromnj, rowzbowz, random595, razzia7, davinbenoit, tap9997, redactedvirus, zayn_ian, jovilly, katiegrayx3, nogre0, highcard_, kurraga, minesweepergod123, jswole, purgelight, purplesquare13, kamalaysia, polybius1201, ralokt, 5pete, teamworm, wadewattsgunter, spshKyros, kirby703, missionmatrix, twiswua, teeeaaamaaa, daborabo, theoreh1337, chadliu222, kilercarno, pixelmeatball, flvff_mvffin, brandib714, oehoe_de_uil, 0010100111011011, beavr27, orlandochesshouse, kiraa96, bethnoodle, sixrootninetyone, kryparnold, wen4ng3l, subparseph, phielive, smajet, mirza5138, lowestaburham, exlted, amybell7777, afewgoodgames, hobbitender, shmalex, 55apgosu, auk303, marioprogamer12345, koro_sage, zeuz_aka_thundaa, veky25, bubbabloop, theminesweepergod, gertoperto, thedefaultstreamer, daveyboy8796, aos_like_a_boss, mystral_fox, robin_wins, oserious1, and lupinnnnnnnnnnnnnnn _____________________________________________________________________ if there were no hesitation in the middle part, then it could go to 70 :)    

Does there exist a mine configuration where the only solution to save 1 click over the 3BV requires 2 or more chords where for each chord the (flags placed around the chorded cell and no other previously chorded cell + 1) > (3BV uncovered by the chord)? If not, can you prove that such a configuration does not exist? _____________________________________________________________________ 🦆🏳‍🌈 (any/all) Please join the Minesweeper Community Discord Server! https://discord.gg/TXgnGpRtfJ Other servers I would recommend: IMESA: https://discord.gg/q26vrsMjfQ Chord Cup: https://discord.gg/wRMVpqt7yY Flotto: https://discord.com/invite/Knt2RM2Pum Spanish Community: https://discord.gg/utMyv79dXc Team Orange: (ask for invite) ZiNi Guide (heart would be appreciated) https://docs.google.com/document/d/1dVxVY8lpIzVsODpW6sFEJMhsHD0v7vMf-TsBbu_Mx-U WIP Efficiency documents: Maximum 3BV Cl Sequences https://docs.google.com/document/d/1WTUeBEMDRHKrn1pKv4HTB84JXU34EJQv2x4-cyy7wzM Sub-neutral Chording https://docs.google.com/document/d/1j6AaOIAVCRYVbgzPn7Qsf-C1A6UzmSQRdFYd-trFdlM Four non-trivial principles of Minimum Click Efficiency: (1) Split Chords are superior to One-sided Chords (2) Opening Predictions = Setup Clicks (3) Key Squares > NF Clicks > (2) > Split Chords (4) Prioritise clicks closer to the edges of sections Notions I support for the site: > Remove hints in High Difficulty > More statistics and rankings > More and clearer resources for improving at Minesweeper > Remove the EMC > Simplify the economy > Clearer communication and transparency from WoM Sub ZiNis on intermediate (legacy): https://minesweeper.online/new-game?g=1352462612 LZNE PB (FWR) https://minesweeper.online/new-game?g=3719953659 Sub L_ZiNi in under 14s https://docs.google.com/document/d/1fkn4g8NROCIUEikusaWz9sbqe8p9-XXiiNi_HJMfnH4/edit?usp=sharing https://minesweeper.online/new-game?g=2765792625 LHZNE PB (FWR) Eff fails: https://minesweeper.online/new-game?g=2380300029 1.48 +1l exp loss (insane game) https://minesweeper.online/new-game?g=2749029809 LZNE WR fail (missclick) https://minesweeper.online/new-game?g=2957014525 1.83 -6lh max https://minesweeper.online/new-game?g=2455516904 1.85 loss https://minesweeper.online/new-game?g=1914568929 1.84 loss https://minesweeper.online/new-game?g=3244363358 1.81 -4 loss https://minesweeper.online/new-game?g=1579528095 Really cool eff game I helped with (Oskain) Boards of intrigue: https://minesweeper.online/new-game?g=598973254 29 3bv with a 6 on beg https://minesweeper.online/new-game?g=702258953 7 on beg https://minesweeper.online/new-game?g=1535150017 Another 7 on beg https://minesweeper.online/new-game?g=3828333405 23 3bv int https://minesweeper.online/new-game?g=5693430815 25 3bv int https://minesweeper.online/new-game?g=648098179 26 3bv int https://minesweeper.online/new-game?g=906740767 Another 26 3bv int https://minesweeper.online/new-game?g=4883141338 27 3bv int https://minesweeper.online/new-game?g=1191441365 Symmetry https://minesweeper.online/new-game?g=1684843625 -6l potential https://minesweeper.online/new-game?g=3464377082 -12lh potential https://minesweeper.online/new-game?g=880497667 101 3bv exp https://minesweeper.online/new-game?g=5560938458 6 7 Bounties: > Sub (-1) L_ZiNi on expert Prize: a lot > Congratulations to 0716 for beating my minimum thrp bounty! https://minesweeper.online/new-game?g=3170076962 Highest found IOE boards: Beg 258%, Llama: https://minesweeper.online/new-game?g=4116811644 Int 222%, Lorinda, found by Thrainos: https://minesweeper.online/new-game?g=3425322555 Exp 203%, Youngling, found by SilentSlendy https://minesweeper.online/new-game?g=5138040164 An interesting unsolved problem from Llama: For an infinite board size, at what density does the average opening size become infinite? Thank you so much to the Minesweeper livestreaming community for entertaining us all! (I may have missed some / some may no longer stream minesweeper. DM to be added or to add someone else) davetheepic04, onion_daddy_, croccywoccy, mustbetom, robinfromdenmark, lilgooslem, itsxillya, bigbremily, 9hournap, dardhong, gini5525, dilemma7877, serkian, michaelhz, cjfromnj, rowzbowz, random595, razzia7, davinbenoit, tap9997, redactedvirus, zayn_ian, jovilly, katiegrayx3, nogre0, highcard_, kurraga, minesweepergod123, jswole, purgelight, purplesquare13, kamalaysia, polybius1201, ralokt, 5pete, teamworm, wadewattsgunter, spshKyros, kirby703, missionmatrix, twiswua, teeeaaamaaa, daborabo, theoreh1337, chadliu222, kilercarno, pixelmeatball, flvff_mvffin, brandib714, oehoe_de_uil, 0010100111011011, beavr27, orlandochesshouse, kiraa96, bethnoodle, sixrootninetyone, kryparnold, wen4ng3l, subparseph, phielive, smajet, mirza5138, lowestaburham, exlted, amybell7777, afewgoodgames, hobbitender, shmalex, 55apgosu, auk303, marioprogamer12345, koro_sage, zeuz_aka_thundaa, veky25, bubbabloop, theminesweepergod, gertoperto, thedefaultstreamer, daveyboy8796, aos_like_a_boss, mystral_fox, robin_wins, oserious1, and lupinnnnnnnnnnnnnnn _____________________________________________________________________ if there were no hesitation in the middle part, then it could go to 70 :)