Tian Gan Di Zhi Year Calculator

In ancient China, years were recorded using the heavenly stems and earthly branches. There are 10 heavenly stems: \(\text{甲, 乙, 丙, 丁, 戊, 己, 庚, 辛, 壬, 癸}\), and 12 earthly branches: \(\text{子, 丑, 寅, 卯, 辰, 巳, 午, 未, 申, 酉, 戌, 亥}\). By combining one heavenly stem and one earthly branch, a year is identified (for example, 甲子). It is known that 2020 is the year of \(\text{庚子}\).

Every year, both the heavenly stem and the earthly branch move to the next in their sequence. Therefore, for a given Gregorian year \(Y\), if we let \(\Delta = Y - 2020\), then:

• The index for the heavenly stem is given by \( (6 + \Delta) \mod 10 \) because 2020 corresponds to index 6 (\(\text{庚}\)).
• The index for the earthly branch is given by \( (0 + \Delta) \mod 12 \) because 2020 corresponds to index 0 (\(\text{子}\)).

Output the concatenation of the corresponding heavenly stem and earthly branch.

inputFormat

The input consists of a single integer \(Y\) representing the Gregorian year.

outputFormat

Output the Chinese cyclic year name (a string of two Chinese characters representing the heavenly stem and earthly branch).

sample

2020

庚子