C. Pepeland
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Check attachment.

Examples
Input
5 5
1 2 1
1 3 2
3 4 3
3 5 4
4 5 5
Output
2024 1 2 3 5
Input
4 3
1 2 1
2 3 2
3 4 1
Output
2 1 2 1