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Why	you	need	raw	materials

	When	 I	 was	 15,	 my	 family	 moved	 and	 during	 my	 last	 year	 before	 college	 I	 went	 to	 a	 high	 school
which	was	not	only	closer	to	my	house,	but	also	significantly	stronger	in	math.
	
I	approached	my	new	math	teacher,	Alexander,	and	said,	“Alexander,	I	want	to	achieve	the	maximum
I	 can	 in	 competitive	 math	 and	 I	 am	 willing	 to	 work	 as	 hard	 as	 possible	 this	 year.	 I	 know	 that	 you
prepared	 several	 international	 level	 math	 Olympiad	 winners.	 Please	 suggest	 what	 I	 can	 work	 on	 at
home	in	addition	to	regular	classes.”
	
He	said,	“You	see,	Andrii,	to	win	a	math	Olympiad,	relying	only	on	agility	of	the	brain	isn’t	enough.
You	should	also	rely	on	your	competitive	math	experience.
	
“I	 will	 give	 you	 books	 with	 collections	 of	 problems	 from	 past	 national	 and	 international	 math
competitions.	 Think	 about	 each	 problem	 yourself	 for	 some	 time,	 and	 then	 read	 the	 solution	 in	 the
back	 of	 the	 book.	 After	 a	 while,	 you	 will	 notice	 patterns	 and	 memorize	 various	 approaches	 for
tackling	 problems.	 The	 more	 solutions	 of	 others	 you	 read,	 the	 more	 approaches	 for	 solving
problems	are	in	your	arsenal	and	the	more	likely	you	are	to	solve	a	math	problem.
	
“Once	you	face	a	problem	in	a	math	competition,	you	will	have	many	different	approaches	in	your
arsenal	 to	 begin	 solving	 it	 and	 coupled	 with	 agility	 of	 the	 brain	 you	 will	 become	 a	 very	 strong
contestant	who	can	win.”
	
A	new	idea	is	a	modification	or	combination	of	old	ones.	Old	ideas	are	a	raw	material	for	creative
thinking.	The	more	ideas	of	other	people	you	know,	the	more	connections	your	brain	will	be	able	to
make	and	the	more	likely	you	are	to	create	an	interesting	and	valuable	business	idea.
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