Without us noticing, modern life has been taken over. Algorithms run everything from search engines on the internet to satnavs and credit card data security - they even help us travel the world, find love and save lives. Professor Marcus du Sautoy demystifies the hidden world of algorithms. By showing us some of the algorithms most essential to our lives, he reveals where these 2,000-year-old problem solvers came from, how they work, what they have achieved and how they are now so advanced they can even programme themselves.

After ending 120 years of civil war and reunifying Japan under his banner, Toyotomi Hideyoshi, the supreme ruler of Japan, lays dead. In a desperate attempt to protect his dynasty, just before his death, Hideyoshi created a council of five powerful warlords. They are to govern Japan until his young son comes of age. But the power hungry Tokugawa Ieasyu declares war on those who oppose him.

After more than a century of civil war, Toyotomi Hideyoshi has united Japan. His rivals have either sworn their allegiance, or they have been destroyed. Despite this fledgling peace, Hideyoshi now dreams of a bold and outlandish plan to make himself the most powerful man in Asia. He plans to expand his reign to China. Logistical challenges and fierce operation in Korea prove to be costly.

After unifying much of Japan, fearsome samurai Oda Nobunaga is dead. His loyal supporter Toyotomi Hideyoshi has launched a coup and seized power for himself. Enraged, powerful General Katsuie has launched his own bid to control the nation.
After defeating Katsuie, Hideyoshi finally ascends to power as the de facto ruler of Japan. Still, Date Masamune, a young daimyo in the north, ignores his missives.

A Japanese playing card company called Nintendo enters gaming. To stay competitive in a modernizing Japan, their portfolio expanded to include toys and into the arcade. And the company hit it big with Donkey Kong and Super Mario, then later takes over home gaming with the Nintendo Entertainment System.

In 1949, after decades of making wooden furniture and toys, Ole Kirk Christiansen's small factory in Billund, Denmark, moved to plastic and created the 'Automatic Binding Bricks', which would later be known as LEGO. When the company patented the tube system in 1958, LEGO became the dominant toy line worldwide throughout the 1960s and 1970s. When other competitors capitalized on the expiration of the company's patents in the 1980s, LEGO faced stiff competition until they reported their first loss in 1998. Poor business decisions with film licenses and the failure of the Jack Stone and Galidor lines brought LEGO to near-bankruptcy until Jørgen Vig Knudstorp took over the company and, by bringing it back to its roots, rejuvenated LEGO's profits.
By the time The Lego Movie hit theaters in 2014, LEGO became the largest toy franchise in the world.