g Example 4: Given n integers a1,a2,. an, there exist integers k and with0≤k<≤ n such that ak+i+ak+2+. +ar is divisible by n ☆a1,a1+a2,a1+a2+a3y…,a1+a2+…+an 4 Example 5: A chess master who has 11 weeks to prepare for a tournament decides to play at least one game every day but, in order not to tire himself, he decides not to play more than 12 games during any calendar week. show that there exists a succession of (consecutive) days during which the chess master will have played exactly 21 games.❖ Example 4:Given n integers a1 ,a2 ,…,an , there exist integers k and l with 0k<ln such that ak+1+ak+2+…+al is divisible by n. ❖ a1 , a1+a2 , a1+a2+a3 ,…,a1+a2+…+an . ❖ Example 5:A chess master who has 11 weeks to prepare for a tournament decides to play at least one game every day but, in order not to tire himself, he decides not to play more than 12 games during any calendar week. Show that there exists a succession of (consecutive) days during which the chess master will have played exactly 21 games