102781: [AtCoder]ABC278 B - Misjudge the Time
Description
Score : $200$ points
Problem Statement
Takahashi bought a table clock.
The clock shows the time as shown in Figure 1 at $\mathrm{AB}$:$\mathrm{CD}$ in the $24$-hour system.
For example, the clock in Figure 2 shows 7:58.
The format of the time is formally described as follows.
Suppose that the current time is $m$ minutes past $h$ in the $24$-hour system. Here, the $24$-hour system represents the hour by an integer between $0$ and $23$ (inclusive), and the minute by an integer between $0$ and $59$ (inclusive).
Let $A$ be the tens digit of $h$, $B$ be the ones digit of $h$, $C$ be the tens digit of $m$, and $D$ be the ones digit of $m$. (Here, if $h$ has only one digit, we consider that it has a leading zero; the same applies to $m$.)
Then, the clock shows $A$ in its top-left, $B$ in its bottom-left, $C$ in its top-right, and $D$ in its bottom-right.
Takahashi has decided to call a time a confusing time if it satisfies the following condition:
- after swapping the top-right and bottom-left digits on the clock, it still reads a valid time in the $24$-hour system.
For example, the clock in Figure 3 shows 20:13. After swapping its top-right and bottom-left digits, it reads 21:03. Thus, 20:13 is a confusing time.
The clock now shows $H$:$M$.
Find the next confusing time (including now) in the $24$-hour system.
Constraints
- $0 \leq H \leq 23$
- $0 \leq M \leq 59$
- $H$ and $M$ are integers.
Input
The input is given from Standard Input in the following format:
$H$ $M$
Output
Let $h$:$m$ be the answer, where $h$ and $m$ must satisfy $0 \leq h \leq 23$ and $0 \leq m \leq 59$.
Print $h$ and $m$ in the following format:
$h$ $m$
Your answer is considered correct even if $h$ contains a leading zero to represent it as a $2$-digit integer; the same applies to $m$.
Sample Input 1
1 23
Sample Output 1
1 23
1:23 is a confusing time because, after swapping its top-right and bottom-left digits on the clock, it reads 2:13.
Thus, the answer is 1:23.
Your answer is considered correct even if you print 01 23 with a leading zero.
Sample Input 2
19 57
Sample Output 2
20 0
The next confusing time after 19:57 is 20:00.
Sample Input 3
20 40
Sample Output 3
21 0
Note that 24:00 is an invalid notation in the $24$-hour system.