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Open Ural SU Championship 2009

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J. Communication Fiend

Time limit: 1.0 second
Memory limit: 64 MB
Kolya has returned from a summer camp and now he's a real communication fiend. He spends all his free time on the Web chatting with his friends via ICQ. However, lately the protocol of this service was changed once again, and Kolya's client stopped working. Now, in order to communicate with his friends again, Kolya has to upgrade his client from version 1 to version n.
Kolya has found m upgrade programs on the Web. The i-th program upgrades the client from version xi to version yi and its size is di megabytes. Each program can be installed on the corresponding version of the client only; it can't be installed on either earlier or later versions.
The first version, which is currently installed on Kolya's computer, is licensed, and many of the upgrade programs are pirate copies. If a pirate upgrade program is used, the client will always be pirated after that, whatever upgrade is used later. Some of the licensed upgrade programs can be installed on a pirate version of the client, and some of them can't. All the pirate upgrade programs can be installed on both licensed and pirate versions of the client.
Kolya is missing his friends very much, so he wants to download the necessary upgrade programs as soon as possible. Unfortunately, his Web connection is not very fast. Help Kolya determine the minimal total traffic volume necessary for upgrading the client from version 1 to version n. Kolya doesn't care if the final version n of his client is licensed or not.


The first line contains space-separated integers n and m (2 ≤ n ≤ 104; 1 ≤ m ≤ 104).
Each of the following m lines describes one upgrade program in the form “xi yi di si”. Here, si is the type of the program: “Pirated”, “Cracked”, or “Licensed”. A cracked upgrade program is a licensed program that can be installed on a pirate version of the client, and a licensed program can't be installed on a pirate version. The numbers xi and yi mean that the program is installed on version xi of the client and upgrades it to version yi. The number di is the size of the program in megabytes (1 ≤ xi < yi ≤ n; 1 ≤ di ≤ 106). The data in each line are separated with exactly one space.


If Kolya can upgrade the client from version 1 to version n, output “Online” in the first line and the minimal necessary total incoming traffic volume in the second line.
If it is impossible to upgrade the client, output “Offline”.


3 4
1 3 10 Licensed
1 2 2 Pirated
2 3 3 Licensed
2 3 6 Cracked
3 1
1 2 10 Licensed
Problem Author: Alex Samsonov (prepared by Marina Mukhacheva)
Problem Source: XIV Open USU Championship
To submit the solution for this problem go to the Problem set: 1741. Communication Fiend