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The text and the soft for this tests, which was created Prof. A.Borzykh, are used in practical training and distance learning for educational programs of the INC-centre,

Do you want to make a million bucks ?

It is a question to you:

Are you ready to estimate optimum strategies, decisive ways, and minimum resources to achieve the goal?
If yes, let us start from a simple practical problem
that follows

Invitation to a multi-variants problem.

Which path (some path between any two points of the net of Fig. for possible routes from p.1 until p.5th would be crucial?

Wow! You think that this question was non-exact. Should we understand this question from Math field ?
Yes, let's make the first question more correct by followings.

Naturally, in this net we might note paths, the break in where will led to longer route between 1st point and p. 5th. (This case is very often in real life.). Such possible path between two points will be named us CRUCIAl , if him abort gives the maximal rise of full distance of optimal route for an analyzed net. Analogously, for other criteria we will name crucial path which give a maximal change of some parameter of difficulty, danger and etc. for a known net.
These notes should give us possibilities for entering in a series of the next questions for preparing decisions for strategies, power attacks and optimal management in some similar conditions.
(Do you are surprised? Yes, all these problems might been interesting tasks in the simple net in the present Fig.)
By this simple test you will come to much quantity of important organizational conclusions, if you might found the pass to next and next levels of difficulty here.
But even the beginner's level must be useful after pass to solution always.

More deep details of term 'crucial' shall be explained by the computer-showman of this competition in each step. There are preliminary levels for the help in variants in the program. You have possibilities to ask a friend too.

Perhaps, you have some preliminary opinion about crucial paths of this net. Let's verify your idea together. Then let's begin dialog about problems of crucial conditions with computer before you will say a answer.

The first step in multi-level analysis.
How much routes are possible between 1st point and p. 5th ? Click on correct result in the down window of menu.