Question 12
In the Pawukon calendar, the Dwiwara system classifies days using two ritual values $x,y$.
- $x$ follows the 7-day cycle $5,4,3,7,8,6,9$.
- $y$ follows the 5-day cycle $9,7,4,8,5$.
- An even $x+y$ means a Menga day; an odd sum means a Pepet day.
- On January 1, 2026, $x=8$ and $y=4$.
Let $a$ and $b$ be the maximum possible numbers of consecutive Menga and Pepet days, respectively. Find $100a+b$.
- $x$ follows the 7-day cycle $5,4,3,7,8,6,9$.
- $y$ follows the 5-day cycle $9,7,4,8,5$.
- An even $x+y$ means a Menga day; an odd sum means a Pepet day.
- On January 1, 2026, $x=8$ and $y=4$.
Let $a$ and $b$ be the maximum possible numbers of consecutive Menga and Pepet days, respectively. Find $100a+b$.