characterize a crossing tree of a diagram to be a BFS tree established at vertex s if and provided that for each hub t the most limited distance among s and t in the chart is equivalent to the briefest distance among s and t in the traversing tree.    Given a chart, we characterize f(x,y) to be the number of spreading over trees of that diagram that are BFS trees established at

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Correct answer will be upvoted else downvoted. Computer science.

 

 characterize a crossing tree of a diagram to be a BFS tree established at vertex s if and provided that for each hub t the most limited distance among s and t in the chart is equivalent to the briefest distance among s and t in the traversing tree. 

 

Given a chart, we characterize f(x,y) to be the number of spreading over trees of that diagram that are BFS trees established at vertices x and y simultaneously. 

 

You are given an undirected associated diagram with n vertices and m edges. Compute f(i,j) for all I, j by modulo 998244353. 

 

Input 

 

The principal line contains two integers n, m (1≤n≤400, 0≤m≤600) — the number of vertices and the number of edges in the diagram. 

 

The I-th of the following m lines contains two integers computer based intelligence, bi (1≤ai,bi≤n, ai<bi), addressing an edge associating man-made intelligence and bi. 

 

It is ensured that all edges are unmistakable and the diagram is associated. 

 

Output 

 

Print n lines, each comprising of n integers. 

 

The integer imprinted in the line I and the section j ought to be f(i,j)mod998244353.

 

 

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