Lutsenko finished one second ahead of Warren Barguil, overturning a three-second deficit on the Frenchman courtesy of bonus seconds awarded on Sunday.
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He mounted an attack with six kilometres remaining but Barguil was able to bring him back into the pack. That left Lutsenko chasing the last time bonus, which proved successful as he whittled away Barguil's advantage at the death.
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"I fought all race for the GC and to win on the last stage is a big surprise," Lutsenko said.
"I want to thank my team for all their work. I tried to win the intermediate time bonus and then again at the finish. In the end I won by just one second in the GC. I'm very happy.
"This is one step before the World Championship for me. It's a good step, because the stages are like the parcours in Yorkshire, they're up and down. It's a really nice race. It's my first time here and maybe I'll come again next year."

Stage results

1 Markus Hoelgaard (Nor) Uno-X Norwegian Development Team 3:35:32
2 Amund Grøndahl Jansen (Nor) Team Jumbo-Visma
3 Alexey Lutsenko (Kaz) Astana Pro Team 0:00:03
4 Warren Barguil (Fra) Arkéa Samsic 0:00:04
5 Kristian Sbaragli (Ita) Israel Cycling Academy
6 Lilian Calmejane (Fra) Total Direct Energie
7 Enrico Gasparotto (Ita) Dimension Data
8 Ilnur Zakarin (Rus) Katusha-Alpecin
9 Krists Neilands (Lat) Israel Cycling Academy
10 Sindre Skjøstad Lunke (Nor) Riwal Readynez Cycling Team

General Classification

1 Alexey Lutsenko (Kaz) Astana Pro Team 14:59:27
2 Warren Barguil (Fra) Arkéa Samsic 0:00:01
3 Krists Neilands (Lat) Israel Cycling Academy 0:00:19
4 Lilian Calmejane (Fra) Total Direct Energie 0:00:23
5 Hugo Houle (Can) Astana Pro Team 0:00:40
6 Sindre Skjøstad Lunke (Nor) Riwal Readynez Cycling Team 0:00:42
7 Markus Hoelgaard (Nor) Uno-X Norwegian Development Team 0:00:43
8 Amund Grøndahl Jansen (Nor) Team Jumbo-Visma 0:00:51
9 Enrico Gasparotto (Ita) Dimension Data 0:00:53
10 Stephen Cummings (GBr) Dimension Data 0:01:12
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