How can I solve the problem Hooligan?, problem H of the ACM-ICPC Latin American Contest 2009. Could anyone help me? http://coj.uci.cu/24h/problem.xhtml?pid=1210

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How can I solve the problem Hooligan?, problem H of the ACM-ICPC Latin American Contest 2009. Could anyone help me? http://coj.uci.cu/24h/problem.xhtml?pid=1210

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First, we suppose greedily that our dream team wins all of its missing matches. After this, it should have

Ppoints. Then, build a graph with nodesx_{1},x_{2}, ...,x_{n - 1}. Now, betweenx_{i}andx_{j}(i≠j), put an edge in each direction with capacity equal to the number of games missing between teamsiandj. Use a nodeB, which has an edge towards everyx_{i}with capacity equal to the number of matches thei^{th}team still has to play, and a nodeE, in such a way that there is an edge from eachx_{i}to this node with capacity equal toP-p_{i}, wherep_{i}are the points that thei^{th}team already has. Your dream team can be a champion iff the maxflow fromBtoEequals the number of missing matches.Do you consider whether the team wins, loses or draw?

Yes. I am considering that each team wins 1 point per every game that it has not played (This happens because every match distributes 2 points, so 1 per team). This amount of points is the flow from

Btox_{i}. After that, each team can "transfer" one point to other team, with the constraint that it cannot transfer more points than the matches that they can play between them. A point transfer fromx_{i}tox_{j}means that teamilose to teamj. If no transfer occurs, theniandjdrew their game.Thanks. Could you send me your code?

Sorry, I haven't coded it yet :/

This is a famous Max Flow problem, more info here