Question Analysis:
If a dual-connected component is a simple ring, use the polyA principle to count the cyclic shift.
If a dual-connected component is not a simple ring, it must be interchangeable. If you do not believe it, you can prove that adjacent components can be interchangeable.
If an edge is a bridge, multiply it by K.
Code:
1 #include
Atcoderarc062f painting graphs with atcodeer [Dual-Connected Component] [polyA principle]
algorithm. (Augmenting Path algorithm)Input:An x-y bigraph g, a matching M in G,And the set U of m-unsaturated vertices in X. Idea :Explore m-alternating paths form U,letting S? X and T? Y be the sets of vertices reached.Marks vertices of S that has been explored for path extensions.as a vertex is reached, the record of the vertex from which it is reached. initialization:S = U and T =?Iteration:If S has no unmarked vertex,Stop and report T∪ (X-s) as a minimun cover and M as a maximum matchin
1, using the Hungarian algorithm to find the maximum matching of the two-fractal graphAlgorithm outline:(1) m is empty(2) Find an augmented path p, by taking the inverse operation to obtain a larger match m ' instead of M(3) Repeat (2) operation until the augmented path is not foundProgram folders: 22222#include #include using namespace Std;const int MAXN = 100;int UN, VN; Number of U,vBOOL G[MAXN][MAXN]; G[I][J] means Xi is connected to YJint XM[MAXN], YM[MAXN]; Output amountBOOL CHK[MAXN]; The
function Graph (v) {This.vertices = v;Initializing verticesthis.edges = 0;The number of edges is set to 0 firstThis.adj = [];Prepares a linked list for each vertex, indicating its relationship to all nodesfor (var i = 0; i This.adj[i] = [];This.adj[i].push ("");}This.addedge = Addedge;this.tostring = toString;}function Addedge (V, W) {Two vertices to form an edgeThis.adj[v].push (w);This.adj[w].push (v);this.edges++;}function Graph (v) {This.vertices = v;Initializing verticesthis.edges = 0;The n
connected branch of the g= (V,e) is a subset of the maximum vertex c which is V, so that any two vertices in C can reach each otherThe transpose of Figure G: gt= (V,et), et={(u,v):(u,v) ∈e}. The ET is made up of the side of G that changes direction. The time complexity required to build the GT is also O (v+e)The basic idea of the algorithm: first, a depth-first search of the graph G, the topological ordering sequence of the graph G is obtained, and then the graph GT is traversed in depth by thi
,IN.WORLDREFL). RGB;Obtain a mask;FLOAT4 reflmask = tex2d (_reflmask,in.uv_maintex);O.albedo = C.rgb*_maintint;O.emission = (REFLECTION*REFLMASK.R) *_reflamount;O.alpha = C.A;}Endcg}FallBack "Diffuse"}Code End----------------------------------------------------------------------The final effect is as follows, with the latest matte effect on the left and the effect without masking on the right:In summary, it appears that, on the basis of the previous article, it was slightly modified, it first us
The shortest path of a node to another node in the graph can be applied to many realistic problems. When you perform a breadth-first search, the shortest path from one vertex to another connected vertex is automatically found. For example, finding the shortest path from a to D first looks for a single-sided path from a to D, then finds the path of two edges, and so on.So on the basis of the original, we need an array to hold all the edges from one vertex to the next. Name is Edgeto. The new brea
Topological ordering as an application of diagrams, understanding the topological ordering must first understand the AoV diagram.The AoV network represents a vertex in a forward graph, with arcs representing the precedence relationship between vertices. As shown in the AOV network, if there is a path from the vertex VI to the vertex VJ, the vertex VI is the precursor of the vertex VJ, and the vertex VJ is the successor of the Vertex VI. Note that the AoV diagram cannot have loops, otherwise the
:48px; background: #444; Position:absolute; bottom:0px; left:0px; Z-index:2; } img{ width:350px; } 3. Focus on, JS code, in fact, JS code is very little, but some places need to be flexible, I use the original JS. 3.1 Initializes the Iscroll, allows horizontal scrolling, does not allow vertical scrolling, and when the mouse wheel scrolls, the focus chart slides var myscroll = new Iscroll ("#wrapper", {scrollx:true,scrolly:false,mousewheel:true}); a function that scrolls automat
The node structure definition, U represents the starting point of the Edge, V represents the end point of the edge, node points to the next possible node, var node = {u:0, v:0, Node:null};var top =-1; Cursor pointer var ind = []; Record into degree Group//adjacency Table arr = [node, ...] var AoV = function (arr) {//1. Initialize the record-in array var len = arr.length; for (var i = 0; i I understand the topological ordering of graphs
updated. It is necessary to update the shortest path from 1 to 2 points, and 2 to 3. MIN (1->3) is now 9. Min (1->4->2->3) is 4, so min (1->3) is updated to 4. Due to the update of 3. Therefore recursive update all from 1 to 3 the shortest path of the point, 3 of the point is 1, and min (1->1) does not need to update to remain 0.Article II, 1->4->3Min (1->3) is 4, while min (1->4->3) is 10. So there is no need to update.So finally the result is:
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the two vertices of the change are not in a set, and are in a collection. The length of the spanning tree plus the length of the Edge{Union (V[i].start, v[i].end);//Merge two vertices into a collectionsum + = V[i].val; } }returnsum;}intMain () { for(inti =0; i //Initialize the data of the edge, in the actual application can be converted and read the data according to the detailed situation, this is only a test example{V[i].start = edge[i][0]; V[i].end = edge[i][1]; V[i].val = edge[i][2]; } q
member, makes the query known as a recursive member as a recursive reference to a CTE name that is triggered. The internal application of the CTE name can logically be interpreted as the result set of the previous query.
Recursive queries do not have an explicit recursive termination condition, which stops recursion only if the second recursive query returns an empty result set or exceeds the maximum number of recursive times. The method that refers to the upper limit of recursive number is to
diagram below is generated.
This is the graph of y=3x+4. When you modify the value of a constant 4, or if you modify the value of the argument x, the curve of function y will automatically change.
Scatter charts are typically used to compare aggregated data across categories. Scatter graphs are ideal for dealing with the distribution of values and the clustering of data points. If the dataset contains very many points (for example, thou
When the volume of data is large, the drawing may take several seconds or longer, and sometimes flicker, in order to solve these problems, you can use double buffering technology to draw graphs.
Double buffering creates an object in memory that is consistent with the screen drawing area, drawing the graphic to the object in memory, and then copying the graphic on the object to the screen at once, which can greatly speed up the drawing. The double buf
lines
for (int i = 0; i {
G.drawline (Sp, + xspace * I, p, + xspace * I, 360);
}
Draw a timeline coordinate label
for (int i = 0; i {
String st = convert.todatetime (dt. rows[i]["TestDate"]). ToString ("Mm:dd");
g.DrawString (St, font, brush, + xspace * I, 370);
}
Draw the horizontal line
for (int i = 0; i {
G.drawline (Sp, + yspace * I, + xspace * (count-1), + yspace * i);
The value interval of the horizontal axis is the maximum divided by the number of intervals
int s = ymaxvalue
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