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Dynamic programming, like the divide-and-conquer method, solves problems by combining the solutions to subproblems. ("Programming" in this context refers to a tabular method, not to writing computer code) y3ney 3bara 3n 2nene bn2sem el problem el kbirr le shwit probelsm so3'ira .. we ne solve el problems deh we ngma el yab2a dh 7l lel problem el kbira :D;d see introduction to algorithms book . chapter 15

In graph theory, breadth-first search (BFS) is a graph search algorithm that begins at the root node and explores all the neighboring nodes. Then for each of those nearest nodes, it explores their unexplored neighbor nodes, and so on, until it finds the goal. ya3ney be el 3arby keda lw ana 3ndy tree maslan we el tree dh bettkwen mn shwit levels 3ady gedan.. lama hagey 23mel search 3la node mo3ina fi el tree deh hamsk el tree mn el root bet3ha ely hwa level 0 we habda2 2mshy level by level y3ney hanzl 3la el level 1 we hakaz le 3'it mal2y el node bet3ty ,,,, see this ,, it's a tutorial show how BFS algorithm is work!! http://www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/GraphAlgor/breadthSearch.htm

hhhhhhhhhhh ...... awl mara a3rf el mawdo3 dah we awl mara a3raf en el Pi = 2*acos(0)

Thanks Islam for the info, really useful