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It's been a while since we played 200% ... and allrandom too ... on same-map especially never once. While fixing this oversight ...
Tournament Rules:
1) Template - Diamond
2) Castle and starting hero - random. Starting bonus can be chosen.
3) Difficulty - 200% (2500 gold at start).
4) Colors - in the first generation, red is for the player higher in rating; thereafter, colors change with each subjective restart (colors do not change during restarts due to a block or encounter).
5) Timer - we'll play rapid, 12+6+1, because there isn't much to do in the first week at 200%.
6) Roads are medium.
Other rules are standard (guild rebuild is enabled).
7) Tournament formula - Swiss system with elimination after 2 losses. Each round is played bo3.
8) Tournament games go into the rating by default, but at the request of any player, they may not. This should be announced before the game starts. A non-rated game must still be submitted through the report system (specify "non-rated" in the comments) - so that it hangs on the 1st page of the general list; I will annul it later.
Tournament Start - in a month, 25.09.2017
Winners of previous tournaments on Diamond:
Diamond Monster - BAJIEHOK
Diamond Masters - FireToSky
Round 1 Draw:
KobRa_RR (Red, Random, Fortress, Mirlanda, Gretchen) def matador99 (Blue, Random, Rampart, Ivor, Yabarkas) Diamond 211
KobRa_RR (Red, Random, Dungeon, Shakti, Shakti) def matador99 (Blue, Random, Tower, Halon, Jeremy) Diamond 136
Surreal (Red, Random, Inferno, Calh, Gunnar) def sonic111 (Blue, Random, Rampart, Riland, Gurnisson) Diamond 123
sonic111 (Red, Conflux, Random, Inteus, Moner) def Surreal (Blue, Tower, Random, Astral, Astral) Diamond 124
sonic111 (Red, Random, Castle, Edric, Gundula) def Surreal (Blue, Necropolis, Random, Sandro, Tant) Diamond 127
socola (Red, Random, Tower, Theodorus, Josephine) def Blitz (Blue, Castle, Random, Adelaide, Gunnar) Diamond 124
Blitz (Red, Random, Conflux, Ciel, Craig Heg) def socola (Blue, Random, Necropolis, Vokial, Nagash) Diamond 142
socola (Blue, Random, Tower, Faafner, Fiona) def Blitz (Red, Stronghold, Random, Terek, Terek) Diamond 123
Mercurial- (Red, Random, Castle, Valeska, Terek) def MadSpirit (Blue, Random, Rampart, Yanova, Mephala) Diamond 126
Mercurial- (Red, Random, Necropolis, Izra, Moandor) def MadSpirit (Blue, Random, Conflux, Lacus, Labeta) Diamond 117
ЯR (Red, Dungeon, Malekith, Kairi) def twaryna (Blue, Castle, Christian, Cassiopeia) Diamond 137
twaryna (Red, Random, Rampart, Aeris, Thorgrim) def ЯR (Blue, Random, Tower, Astral, Alkin) Diamond 132
ЯR (Blue, Stronghold, Tiraxor, Tiraxor) def twaryna (Red, Necropolis, Vidomina, Vidomina) Diamond 123
MikeM (Blue, Random, Castle, Rion, Dessa) def De_Luxe (Red, Random, Tower, Josephine, Dimmer) Diamond 123
MikeM (Red, Inferno, Xarfax, Calh) def De_Luxe (Blue, Stronghold, Yog, Gretchen) Diamond 127
Мирон (Blue, Random, Inferno, Ignatius, Ignatius) def RitoSux (Red, Random, Fortress, Dragon, Dragon) Diamond 123
RitoSux (Red, Random, Fortress, Corbark, Craig Heg) def Мирон (Blue, Random, Dungeon, Sinka, Jeremy) Diamond 121
Мирон (Blue, Random, Necropolis, Izra, Izra) def RitoSux (Red, Random, Inferno, Pepelina, Alkin) Diamond 127
Dandy (Blue, Random, Conflux, Fiur, Fiur) def Jelen117 (Red, Random, Tower, Astral, Astral) Diamond 124
Jelen117 (Blue, Rampart, Clancy, Sir Mullich) def Dandy (Red, Tower, Saira, Kairi) Diamond 132
Jelen117 (Blue, Rampart, Yanova, Craig Heg) def Dandy (Red, Rampart, Mephala, Mephala) Diamond 133
Dave_HUN (Red, Random, Wharf, Illor, Corkes) def Dawidu91 (Blue, Random, Fortress, Vistan, Gunnar) Diamond 122
Dave_HUN (Red, Random, Fortress, Tazar, Tazar) def Dawidu91 (Blue, Random, Wharf, Derek, Derek) Diamond 117
u2noob (Red, Castle, Valeska, Valeska) def Sevan_80 (Blue, Rampart, Yanova, Yanova) Diamond 116
u2noob (Blue, Tower, Pikedram, Pikedram) def Sevan_80 (Red, Castle, Orrin, Orrin) Diamond 115
Benis (Red, Fortress, Broghild, Broghild) def Javdet (Blue, Inferno, Nimussa, Jeremy) Diamond 131
Javdet (Red, Stronghold, Zubin, Gundula) def Benis (Blue, Inferno, Pepelina, Kairi) Diamond 124
Javdet (Blue, Rampart, Coronius, Yanova) def Benis (Red, Wharf, Eovatios, Loinis) Diamond 124
battanas (Blue, Tower, Iona, Pyra) def tun7gus7 (Red, Rampart, Yanova, Kairi) Diamond 131
tun7gus7 (Blue, Dungeon, Shakti, Shakti) def battanas (Red, Stronghold, Oris, Jeremy) Diamond 116
tun7gus7 (Red, Castle, Caitlin, Caitlin) def battanas (Blue, Wharf, Spint, Jeremy) Diamond 125
PaTRioT (Red, Inferno, Axis, Nila) def Magl (Blue, Castle, Caitlin, Kairi) Diamond 141
freesha (Red, Stronghold, Yabarkas, Gurnisson) def PROger (Blue, Castle, Adela, Jeremy) Diamond 134
PROger (Blue, Random, Castle, Loinis, Yanova) def freesha (Red, Random, Dungeon, Sinka, Nila) Diamond 142
freesha (Red, Conflux, Moner, Moner) def PROger (Blue, Wharf, Casmetra, Casmetra) Diamond 145
Fill-ua (Red, Random, Inferno, Zidar, Mariussa) def Montt (Blue, Necropolis, Aislinn, Clavius) Diamond 223
Fill-ua (Red, Rampart, Pearl, Kairi) def Montt (Blue, Fortress, Rosic, Dessa) Diamond 133
Redwhait HP (Blue, Random, Necropolis, Xi, Tamika) def Xocenk (Red, Random, Inferno, Pyra, Ciel) Diamond 133
Redwhait HP (Blue, Wharf, Zilar, Edric) def Xocenk (Red, Conflux, Tunar, Jeremy) Diamond 126
=Lizard= def WiZarDX_576
Player_ def Simon5760
Wallys def Нихилус
BeerWarrior vs Diabler - mutual tech loss
karapet.ru vs omon - mutual tech loss
Round 1 Deadline - until 23.10.2017
Leaving the tournament: WiZarDX_576, Simon5760, Нихилус, BeerWarrior, Diabler, karapet.ru, omon, Surreal
Round 2 Draw:
Winners:
Jelen117 (Red, Random, Rampart, Kairi, Kairi) def Javdet (Blue, Random, Inferno, Khalid, Damacon) Diamond 123
Jelen117 (Blue, Random, Dungeon, Jager, Shakti) def Javdet (Red, Random, Wharf, Corkes, Miriam) Diamond 123
Мирон (Blue, Random, Inferno, Pepelina, Ignatius) def Wallys (Red, Random, Conflux, Gelar, Labeta) Diamond 141
Мирон (Red, Random, Conflux, Pasis, Pasis) def Wallys (Blue, Random, Rampart, Coronius, Coronius) Diamond 147
ЯR (Red, Fortress, Corbark, Dessa) def Fill-ua (Blue, Tower, Nila, Gunnar) Diamond 115
ЯR (Red, Tower, Serena, Jeremy) def Fill-ua (Blue, Conflux, Labeta, Nila) Diamond 147
Player_ (Red, Wharf, Annabelle, Annabelle) def Mercurial- (Blue, Necropolis, Moandor, Xi) Diamond 133
Player_ (Red, Random, Fortress, Corbark, Broghild) def Mercurial- (Blue, Random, Necropolis, Clavius, Clavius) Diamond 123
tun7gus7 (Blue, Fortress, Andra, Andra) def =Lizard= (Red, Random, Stronghold, Craig Heg, Craig Heg) Diamond 134
=Lizard= (Red, Random, Fortress, Vistan, Tazar) def tun7gus7 (Blue, Random, Castle, Tyris, Ivor) Diamond 132
=Lizard= (Blue, Random, Conflux, Ciel, Jeremy) def tun7gus7 (Red, Random, Rampart, Elshar, Kairi) Diamond 137
Dave_HUN (Red, Rampart, Yanova, Broghild) def Magl (Blue, Rampart, Mephala, Kairi) Mirror Diamond 133
Dave_HUN def Magl
Redwhait HP (Blue, Wharf, Cassiopeia, Cassiopeia) def KobRa_RR (Red, Castle, Caitlin, Caitlin) Diamond 133
KobRa_RR (Blue, Necropolis, Moandor, Moandor) def Redwhait HP (Red, Wharf, Cassiopeia, Cassiopeia) Diamond 116
KobRa_RR (Red, Castle, Orrin, Orrin) def Redwhait (Blue, Necropolis, Vokial, Vokial) Diamond 123
sonic111 (Red, Random, Fortress, Verdysh, Gurnisson) def u2noob (Blue, Random, Stronghold, Crellion, Jeremy) Diamond 133
socola (Blue, Random, Castle, Cuthbert, Mephala) def freesha (Red, Random, Tower, Iona, Nila) Diamond 126
socola (Blue, Random, Wharf, Zilar, Cassiopeia) def freesha (Red, Necropolis, Clavius, Gunnar) Diamond 147
MikeM ->
Losers:
De_Luxe (Red, Necropolis, Random, Izra, Izra) def matador99 (Blue, Castle, Random, Lord Haart, Arlak) Diamond 124
matador99 (Blue, Random, Rampart, Aeris, Kairi) def De_Luxe (Red, Random, Inferno, Khalid, Gunnar) Diamond 133
matador99 (Blue, Random, Conflux, Luna, Luna) def De_Luxe (Red, Random, Necropolis, Vokial, Vokial) Diamond 114
twaryna (Blue, Random, Tower, Random, Saira, Gunnar) def Benis (Red, Random, Stronghold, Random, Dessa, Tiraxor) Diamond 134
twaryna (Blue, Random, Rampart, Melody, Ivor) def Benis (Red, Random, Fortress, Dragon, Dragon) Diamond 145
Blitz (Red, Random, Fortress, Vistan, Vistan) def PROger (Blue, Random, Inferno, Calh, Kairi) Diamond 124
Blitz (Blue, Random, Rampart, Uland, Gunnar) def PROger (Red, Random, Castle, Edric, Beatrice) Diamond 136
freesha (Red, Castle, Adela, Corbark) def Xocenk (Blue, Fortress, Broghild, Broghild) Diamond 141
Xocenk (Blue, Dungeon, Shakti, Shakti) def Dawidu91 (Red, Necropolis, Charna, Clavius) Diamond 137
Xocenk def Dawidu91
Dandy (Red, Random, Inferno, Ignatius, Ignatius) def Montt (Blue, Random, Tower, Ain, Miriam) Diamond 127
Montt (Blue, Random, Fortress, Dragon, Dragon) def Dandy (Red, Random, Castle, Sylvia, Sylvia) Diamond 126
Montt def Dandy
MadSpirit (Blue, Random, Stronghold, Craig Heg, Craig Heg) def RitoSux (Red, Random, Conflux, Grindan, Grindan) Diamond 125
RitoSux (Red, Stronghold, Yabarkas, Dessa) def MadSpirit (Blue, Fortress, Merista, Broghild) Diamond 132
RitoSux (Red, Wharf, Lina, Vistan) def MadSpirit (Blue, Dungeon, Ajit, Aislinn) Diamond 132
Sevan_80 - battanas mutual tech loss
Round 2 Deadline - until 21.11.2017
Reminder on the substitution order - if a player withdraws from the tournament before losing twice, their slot becomes vacant and is filled by the player from the losers' bracket who reported their lost round first. A substitution can only happen once; substitutions always enter the losers' bracket.
Magl withdrew after a loss in the winners' bracket, so his slot in the losers' bracket passes to De_Luxe.
Also, both players in the Sevan_80 vs battanas pair withdrew from the losers' bracket, so the "winner" slot of this pair passes to Benis.
Round 3 Draw:
Winners:
=Lizard= (Blue, Random, Inferno, Pyra, Gurnisson) def u2noob (Red, Random, Inferno, Calh, Calh) Diamond 116
=Lizard= (Red, Random, Stronghold, Terek, Dessa) def u2noob (Blue, Inferno, Pyra, Pyra) Diamond 124
Мирон (Red, Random, Conflux, Luna, Luna) def Player_ (Blue, Random, Castle, Caitlin, Broghild) Diamond 124
ЯR (Red, Stronghold, Craig Heg, Craig Heg) def KobRa_RR (Blue, Castle, Caitlin, Iona) Diamond 125
socola (Blue, Random, Stronghold, Dessa, Dessa) def MikeM (Red, Random, Rampart, Malcolm, Jeremy) Diamond 143
Dave_HUN (Blue, Random, Rampart, Yanova, Tyris) def Jelen117 (Red, Random, Castle, Orrin, Jeremy) Diamond 132
Jelen117 (Blue, Random, Conflux, Brissa, Brissa) def Dave_HUN (Red, Random, Conflux, Fiur, Luna) Diamond 133
Dave_HUN (Blue, Random, Fortress, Rosic, Kairi) def Jelen117 (Red, Random, Dungeon, Ajit, Tiraxor) Diamond 141
Losers:
De_Luxe (Red, Random, Stronghold, Gurnisson, Gurnisson) def Benis_xDD (Blue, Castle, Sorsha, Sorsha) Diamond 134
De_Luxe (Red, Wharf, Corkes, Corkes) def Benis_xDD (Blue, Rampart, Yanova, Yanova) Diamond 127
Xocenk (Blue, Stronghold, Gurnisson, Gurnisson) def freesha (Red, Rampart, Elshar, Gunnar) Diamond 135
Xocenk (Blue, Random, Wharf, Annabelle, Tazar) def freesha (Red, Rampart, Thorgrim, Vidomina) Diamond 125
matador99 (Red, Random, Wharf, Eovatios, Eovatios) def Javdet (Blue, Random, Inferno, Ignatius, Gunnar) Diamond 142
matador99 (Blue, Random, Rampart, Elshar, Elshar) def Javdet (Red, Random, Conflux, Erdamon, Luna) Diamond 123
Blitz (Blue, Random, Wharf, Spint, Alkin) def tun7gus7 (Red, Random, Dungeon, Alamar, Alamar) Diamond 144
Blitz (Red, Random, Rampart, Uland, Mephala) def tun7gus7 (Blue, Random, Wharf, Spint, Tazar) Diamond 146
Redwhait (Blue, Conflux, Moner, Moner) def Montt (Red, Dungeon, Malekith, Pyra) Diamond 126
Redwhait (Red, Necropolis, Septienna, Vidomina) def Montt (Blue, Necropolis, Tant, Tant) Diamond 127
RitoSux (Red, Fortress, Alkin, Alkin) def Fill-ua (Blue, Stronghold, Craig Heg, Craig Heg) Diamond 117
Fill-ua (Red, Wharf, Illor, Clavius) def RitoSux (Blue, Rampart, Pearl, Pearl) Diamond 123
RitoSux (Red, Random, Stronghold, Gretchen, Gretchen) def Fill-ua (Blue, Random, Inferno, Nimussa, Nimussa) Diamond 136
Mercurial- (Red, Random, Wharf, Manfred, Kairi) def Wallys (Blue, Random, Castle, Sanya, Broghild) Diamond 135
Mercurial- (Blue, Random, Inferno, Octavia, Dessa) def Wallys (Red, Random, Fortress, Vistan, Vistan) Diamond 216
twaryna - sonic111 - mutual tech loss and substitution by freesha
Players highlighted in italics play with a debuff - their opponents in Round 3 will be able to choose their color for the first two games.
Substitution: KobRa_RR => Javdet
Round 3 Deadline - until 19.12.2017
Round 4 Draw:
Winners:
Dave_HUN (Blue, Random, Dungeon, Ajit, Alamar) def ЯR (Red, Random, Tower, Tan, Jeremy) Diamond 131
Dave_HUN (Red, Random, Inferno, Olema, Gunnar) def ЯR (Blue, Random, Dungeon, Das, Craig Heg) Diamond 144
socola (Blue, Random, Conflux, Inteus, Luna) def =Lizard= (Red, Random, Necropolis, Nagash, Izra) Diamond 133
socola (Blue, Random, Necropolis, Nagash, Tant) def =Lizard= (Red, Random, Inferno, Pyra, Pyra) Diamond 217
Intermediate winner-loser pair:
Redwhait (Red, Inferno, Zidar, Dimmer) def Мирон (Blue, Wharf, Eovatios, Miriam) Diamond 132
Redwhait (Red, Stronghold, Gretchen, Gretchen) def Мирон (Blue, Fortress, Bron, Dragon) Diamond 137
Losers:
De_Luxe (Red, Rampart, Riland, Riland) def Mercurial- (Blue, Fortress, Rosic, Rosic) Diamond 133
De_Luxe (Red, Necropolis, Aislinn, Aislinn) def Mercurial- (Blue, Castle, Orrin, Orrin) Diamond 131
Xocenk (Blue, Wharf, Illor, Illor) def Jelen117 (Red, Rampart, Uland, Kairi) Diamond 133
Javdet (Red, Necropolis, Tamika, Tamika) def Blitz (Blue, Wharf, Casmetra, Kairi) Diamond 126
Blitz (Blue, Random, Conflux, Fiur, Luna) def Javdet (Red, Random, Wharf, Zilar, Tiraxor) Diamond 126
Blitz (Blue, Random, Conflux, Inteus, Moner) def Javdet (Red, Random, Inferno, Pepelina, Mariussa) Diamond 221
freesha (Red, Fortress, Dragon, Dragon) def MikeM (Blue, Rampart, Mephala, Mephala) Diamond 125
MikeM (Blue, Fortress, Corbark, Corbark) def freesha (Red, Dungeon, Sinka, Alkin) Diamond 137
freesha (Red, Rampart, Yanova, Dimmer) def MikeM (Blue, Castle, Orrin, Tazar) Diamond 122
u2noob (Red, Castle, Orrin, Orrin) def Player_ (Blue, Rampart, Ivor, Ivor) Diamond 123
u2noob (Red, Inferno, Rashka, Rashka) def Player_ (Blue, Inferno, Fiona, Fiona) Diamond 121
matador99 - RitoSux
Round 4 Deadline - until 16.01.2018
Round 5 Draw:
Winners:
Dave_HUN (Blue, Random, Castle, Tyris, Broghild) def socola (Red, Random, Dungeon, Lorelei, Gunnar) Diamond 131
Dave_HUN (Blue, Random, Stronghold, Shiva, Tiraxor) def socola (Red, Random, Wharf, Cassiopeia, Labeta) Diamond 147
Losers:
u2noob (Red, Random, Tower, Iona, Jeremy) def Blitz (Blue, Random, Inferno, Khalid, Pyra) Diamond 136
Blitz (Blue, Random, Castle, Sanya, Sanya) def u2noob (Red, Random, Stronghold, Terek, Terek) Diamond 111
u2noob (Red, Random, Dungeon, Arlak, Jeremy) def Blitz (Blue, Random, Rampart, Kairi, Kairi) Diamond 132
Xocenk (Blue, Conflux, Pasis, Labeta) def ЯR (Red, Rampart, Riland, Kairi) Diamond 124
Xocenk (Red, Inferno, Calh, Ignatius) def ЯR (Blue, Wharf, Manfred, Manfred) Diamond 131
De_Luxe (Red, Tower, Halon, Halon) def Redwhait (Blue, Conflux, Brissa, Brissa) Diamond 126
Redwhait (Red, Castle, Orrin, Orrin) def De_Luxe (Blue, Inferno, Calh, Calh) Diamond 131
De_Luxe (Red, Dungeon, Das, Das) def Redwhait (Blue, Tower, Solmir, Solmir) Diamond 125
freesha def RitoSux
=Lizard= def Мирон
Round 5 Deadline - until 16.02.2018
Round 6 Draw:
Winners:
Dave_HUN ->
Losers:
Xocenk (Blue, Conflux, Ciel, Labeta) def =Lizard= (Red, Dungeon, Sefinroth, Yanova) Diamond 123
Xocenk (Blue, Random, Fortress, Merista, Bron) def =Lizard= (Red, Random, Wharf, Corkes, Corkes) Diamond 122
De_Luxe (Red, Tower, Ain, Ain) def freesha (Blue, Rampart, Mephala, Mephala) Diamond 133
freesha (Blue, Fortress, Dragon, Dragon) def De_Luxe (Red, Inferno, Calh, Calh) Diamond 134
De_Luxe (Red, Rampart, Ivor, Ivor) def freesha (Blue, Inferno, Calh, Calh) Diamond 131
socola (Red, Random, Rampart, Yanova, Miriam) def u2noob (Blue, Random, Necropolis, Tamika, Tamika) Diamond 122
Round 6 Deadline - until 19.03.2018
Round 7 Draw:
Intermediate pair (winner-loser):
Dave_HUN (Blue, Random, Wharf, Miriam, Miriam) def Xocenk (Red, Random, Wharf, Illor, Illor) Diamond 122
Dave_HUN (Blue, Random, Rampart, Coronius, Ivor) def Xocenk (Red, Random, Tower, Rissa, Corkes) Diamond 133
Losers:
De_Luxe (Red, Fortress, Alkin, Alkin) def socola (Blue, Tower, Astral, Astral) Diamond 127
De_Luxe def socola
Round 7 Deadline - until 16.04.2018
Final:
Dave_HUN vs De_Luxe
The match is in bo5 format with a score of 1-0 in favor of the winner (Dave_HUN)
Final Deadline - until 16.05.2018
“I need to sacrifice,” thought the player playing white. “But where? I’ll try on h6. So, 1. Bxh6 gxh 2. Qxh6 Bxe5 3. Rxe5 Qg7 4. Qxe3 Bd5, and I get nothing for the piece.
Or maybe it’s better on g6? – the next thought flashed through his mind. – Then 1. Kxg6 Bxg3 2. hxg fxg 3. Rxe6 gxh 4. Rxf6+ Kxh7. There is no quality, the d4 pawn is weak, the black bishop is very strong. No, g6 is not good.
Let me look at the sacrifice on h6 again. Maybe I can find an improvement. So, 1. Bxh6 gxh 2. Qxh6 Bxe5. It doesn’t work. I need to look at the quality sacrifice again – 1. Kxg6 Bxg3 2. hxg fxg 3. Rxe6 gxh 4. Rxf6+ Kxh7. It doesn’t give anything.”
“Having ‘run’ several times through the variations with the moves 1. Kxg6 and 1. Bxh6, the master looked at the clock. ‘Goodness me! I’ve been thinking for almost half an hour. Time trouble is approaching.’ And immediately, without thinking for a minute, he made the move 1. Bc3, simply ‘strengthening’ the position. Then came 1… Kf4! 2. Qg4 h5! 3. Qf6 h4, and white was immediately forced to resign.
What mistakes did our chess player make when calculating variations in this position?
The first mistake. White began to calculate variations without first outlining the moves that they intended to consider. They did not define candidate moves for themselves. As a result, they missed the calculation of the move 1. Bc3. The correct start of mental calculation should always be determined by a clear listing of candidate moves: “I will calculate variations with the candidate moves 1. Bxh6, 1. Kxg6, and 1. Bc3.” And only after that should we proceed to the calculation.
The second mistake. White did not find enough determination after the first calculation of variations to firmly say to themselves: “All possibilities have been considered, I will choose the move…” As a rule, the losses from the brevity of the calculation are much less than the losses from indecision. Hesitation leads to time trouble and inglorious defeat.
The third mistake. White went over the same variations several times. This is a wasteful loss of time and effort.
Let’s formulate the correct order of calculating variations. Let’s apply this to the same position (see the diagram above). First, we determine the candidate moves that we will consider. There are three such moves: 1. Bxh6, 1. Kxg6, and 1. Bc3. Then, we go through all the variations once to the depth that our abilities allow and that the position itself requires. After calculating once, we stop and, overcoming the natural desire to calculate the possibilities again, we make a final decision about which move to make.
...
To better imagine the entire process of calculation, let’s imagine it in the form of a tree, where at the base is the move 1. Le1 that we choose, and the seven variations represent seven branches, branching further into small branches. We will call this scheme the “calculation tree.”
The rule of calculating variations that we formulated earlier can now be presented differently, using the “calculation tree.” When calculating variations, never “run” from one branch to another. “Run” through one – immediately go to the second. And so on until the end. Never return to an already explored branch!