## Binary clock

Statement

## Goal

Binary clocks uses LEDs to express binary values. Convert example LED signals to decimal format.Each column in the binary clock represents a digit on a regular clock: hours minutes seconds.

0 - LED is off

1 - LED is on

Input

00 00 00

00 01 10

00 11 00

10 11 01

00 01 10

00 11 00

10 11 01

Output

10:37:49

Constraints

4 lines each have an length of 8 (6 binary symbols and 2 spaces)

Example

Input

00 00 01 00 01 10 00 11 00 10 11 01

Output

10:37:49

Game modes

Fastest, Shortest, Reverse

Test cases

Test 1 Test

Input

00 00 01
00 01 10
00 11 00
10 11 01

Output

10:37:49

Validator 1 Validator

Input

00 00 01
00 01 10
00 11 00
10 11 00

Output

10:37:48

Test 2 Test

Input

00 01 01
00 10 10
11 00 00
01 11 11

Output

23:59:59

Validator 2 Validator

Input

00 01 01
00 10 10
11 00 00
01 01 11

Output

23:49:59

Test 3 Test

Input

00 00 00
00 00 00
00 00 00
00 00 00

Output

00:00:00

Validator 3 Validator

Input

00 00 00
00 00 00
00 01 00
00 01 00

Output

00:03:00

Test 4 Test

Input

00 00 00
00 01 11
01 10 01
10 10 10

Output

12:34:56

Validator 4 Validator

Input

00 00 00
00 11 00
11 00 00
01 01 01

Output

23:45:01

Solution language

Solution

Stub generator input

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