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==Tournament and match wins (or equal first)== ===1950–1965=== {| class="wikitable" |- !|Year !|Tournament / Championship !|Match / Team competition |- ||1950 |[[Riga]] – Latvia Junior championship,<ref>Alexander Khalifman et al, "Mikhail Tal – 8th World Champion" (PC-CD); "Complete Games of Mikhail Tal 1936–1959", p. 5</ref> 1st |- ||1953 |Riga – 10th Latvian championship, 1st (14½/19) |Leningrad, Soviet Team Championship final, board 2, 1st–2nd (4½/7) |- |1954 | |Match with Vladimir Saigin for the title of Soviet Master (+4−2=8) |- ||1955 |Riga – 23rd Soviet Championship Semifinal, 1st (12½/18) |- ||1956 | |[[Uppsala]] – World students team championship, board 3 (6/7) |- ||1957 | [[1957 USSR Chess Championship|Moscow – 24th URS-ch]], 1st (14/21) |[[Reykjavík]] – Wch-team students, board 1 (8½/10)<br />[[Baden bei Wien|Baden, Austria]] – European Team Championship, board 4, 1st–2nd (3/5) |- ||1958 |[[1958 USSR Chess Championship|Riga – 25th URS-ch]], 1st (12/19) <br />[[Portorož Interzonal 1958|Portorož Interzonal]], 1st (13½/20) |[[Varna, Bulgaria|Varna]] – Wch-team students, board 1 (8½/10)<br />[[13th Chess Olympiad|Munich 1958]] Olympiad, board 5 (13½/15) |- ||1959 |Riga – Latvian Olympiad, 1st (7/7)<br /> [[Zürich]] tournament, 1st (11½/15)<br />[[Bled]]–[[Zagreb]]–[[Belgrade]] – Candidates tournament, 1st (20/28) |- ||1960 | |Moscow – Match for the World title with [[Mikhail Botvinnik]] (+6−2=13)<br />[[Hamburg]] – Match West Germany vs. USSR, 1st (7½/8)<br />[[14th Chess Olympiad|Leipzig 1960]] Olympiad, board 1, silver medal (11/15) |- ||1960/61 |[[Stockholm]] tournament, 1st (9½/11) |- ||1961 |[[Bled]] tournament, 1st (14½/19) |- ||1962 | |[[15th Chess Olympiad|Varna 1962]] Olympiad, board 6 (10/13) |- ||1963 |[[Miskolc]] tournament, 1st (12½/15) |Moscow, USSR Spartakiad, board 1, 1st (6/9) |- ||1963/64 |[[Hastings International Chess Congress|Hastings]] Premier tournament, 1st (7/9) |- ||1964 |[[Reykjavík]] tournament, 1st (12½/13)<br /> [[Amsterdam]] Interzonal, 1st–4th (17/23) <br />[[Kislovodsk]] tournament, 1st (7½/10) |Moscow, USSR Club Team Championship, board 1, 1st (4½/6) |- ||1965 |Riga, Latvian championship, 1st (10/13) |Bled – Quarter-final Candidates Match with [[Lajos Portisch]]: (+4−1=3) <br />Bled – Semi-final Candidates Match with [[Bent Larsen]] (+3−2=5) |} ===1966–1977=== {| class="wikitable" |- !|Year !|Tournament / Championship !|Match / Team competition |- ||1966 |[[Sarajevo]] tournament, 1st–2nd (11/15)<br />[[Palma de Mallorca]] tournament, 1st (12/15) |[[17th Chess Olympiad|Havana 1966]] Olympiad, board 3 (12/13) |- ||1967 |[[Kharkiv]] – 35th URS-ch, =1st (12/15) |Moscow, USSR Spartakiad, final B, 1st (6/9) |- ||1968 |[[Gori, Georgia|Gori]] tournament, 1st (7½/10) |Belgrade – Quarter-final Candidates Match with [[Svetozar Gligorić]] (+3−1=5) |- ||1969/70 |[[Tbilisi]] – Goglidze memorial tournament, 1st–2nd (10½/15) |- ||1970 |[[Poti]] – Georgian Open championship, 1st (11/14) <br />[[Sochi]] – Grandmasters vs. Young Masters, 1st (10½/14) |Belgrade – World vs. USSR, board 9 Match with [[Miguel Najdorf]] (+1−1=2)<br /> [[Kapfenberg]], European Team Championship, board 6 (5/6) |- ||1971 |[[Tallinn]] tournament, 1st–2nd (11½/15) |Rostov-on-Don, USSR Club Team Championship, board 1, 1st (4½/6) |- ||1972 |[[Sukhumi]] tournament, 1st (11/15)<br /> [[Baku]] – 40th URS-ch, 1st (15/21) | [[20th Chess Olympiad|Skopje 1972]] Olympiad, board 4 (14/16) |- ||1973 |[[Wijk aan Zee]] tournament, 1st (10½/15) <br /> Tallinn tournament, 1st (12/15) <br /> [[Sochi]] – [[Mikhail Chigorin]] memorial, 1st (11/15) <br /> [[Dubna]] tournament, 1st–2nd (10/15) |[[Bath, Somerset|Bath]], European Team Championship, board 6, silver medal (4/6) |- ||1973/74 |Hastings tournament, 1st–4th (10/15) |- ||1974 |[[Lublin]] tournament, 1st (12½/15) <br /> [[Halle, Saxony-Anhalt|Halle]] tournament, 1st (11½/15)<br />[[Novi Sad]] tournament, 1st (11½/15) <br /> Leningrad – 42nd URS-ch, =1st (9½/15) |[[21st Chess Olympiad|Nice 1974]] Olympiad, board 5 (11½/15)<br />Moscow, USSR Club Team Championship, board 1, 1st (6½/9) |- |1976 | |Stockholm, Match with [[Ulf Andersson]] (+1=7) |- ||1977 |Tallinn – [[Paul Keres|Keres]] memorial, 1st (11½/17) <br /> [[Leningrad]] 60th October Rev., 1st–2nd (11½/17) <br /> Sochi – Chigorin memorial, 1st (11/15) |Moscow, European Team Championship, board 4 (4½/6) |} ===1978–1991=== {| class="wikitable" |- ! Year ! Tournament / Championship |- ||1978 | [[Tbilisi]] – 46th URS-ch, 1st (11/17) |- ||1979 |[[Montreal]] tournament, 1st–2nd (12/18)<br />Riga Interzonal, 1st (14/17) |- ||1981 |Tallinn – Keres memorial, 1st (12½/15) <br /> [[Málaga]] tournament, 1st (7/11)<br />Moscow, Soviet Team Championship, board 1, 1st (7/9) <br /> Riga tournament, 1st (11/15) <br /> [[Lviv]] tournament, 1st–2nd (9/13) |- |1981/82 | [[Porz]] tournament, 1st (9/11) |- ||1982 |Moscow tournament, 1st (9/13) <br />[[Erevan]] tournament, 1st (10/15) <br /> Sochi – Chigorin memorial, 1st (10/15) <br /> [[Pforzheim]] tournament, 1st (9/11) |- ||1983 |Tallinn – Keres memorial, 1st (10/15) |- ||1984 |[[Albena]] tournament, 1st–2nd (7/11) |- ||1985 |[[Jūrmala]] tournament, 1st (9/13) |- ||1986 |[[West Berlin]] open, 1st–2nd (7½/9)<br /> Tbilisi – Goglidze memorial, 1st–2nd (9/13) |- ||1987 |[[Termas de Río Hondo]] (Argentina), 1st (8/11) <br /> Jūrmala tournament, 1st–4th (7½/13) |- ||1988 |[[Chicago]] – National Open, 1st–6th (5½/6) <br /> [[Saint John, New Brunswick|Saint John]] – [[World Blitz Chess Championship|World blitz Championship]]: 1st |- ||1991 |[[Buenos Aires]] – [[Miguel Najdorf|Najdorf]] memorial, 1st–3rd (8½/13) |}
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