ABC379G Count Grid 3-coloring 题解 暴力做法/插头 DP 可过。 考虑H×W≤200,所以min(H,W)≤14,那么可以猜测可行状态数非常少(第一个随便,后面的只有两种可能,3⋅213=24576),可以先把可行状态跑出来,不妨假设W≤H。、 注意s 在交换的时候是s[j][i] = _s[i][j];啊啊啊啊啊!!!
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原因是我们定义的t=1t=1这维限制每一行、每一列不全为钦定色,另一维则限制每一列颜色不全相同,t=1t=1其实就起到了每一行不全为钦定色的效果。 另一种是枚举的rr行颜色不全相同,这种情况的转移就是[(C−t)r−(C−t)]×fm,n−r,0,1[(C−t)r−(C−t)]×fm,n−r,0,1。 然后...
Isotropic (distributive) coloringsRectangular gridWe consider the coverings of graphs with balls of constant radius satisfying special multiplicity condition. A ( t, i, j)-cover of a graph G=( V, E) is a subset S of vertices, such that every element of S belongs to exactly i balls of ...
3<<(m-1)*2]=1; for(int i=0;i<n;i++){ for(int j=0;j<m;j++){ if(i==n-1&&j==m-1)break; for(auto p:dp[i][j]){ int num=p.first; int x=num&3; int y=(num>>(m-1)*2)&3; int u=(j==m-1?i+1:i); int v=(j==m-1?0:j+1); for(int k=1;k<=3...
Avgustinovich S.V., Vasil'eva A.Yu, Sergeeva I.V. Distance regular colorings of an infinite rectangular grid, Journal of Applied and Industrial Mathematics, 2012, V. 6, N. 3, P. 280-285S. V. Avgustinovich, A. Yu. Vasil'eva, and I. V. Sergeeva, Distance regular colorings of...
The chromatic polynomial of grid graph P 3 □ P nChromatic polynomialGrid graphVertex coloringThis paper studies the chromatic polynomial of some special graphs like path graph, ladder graph and grid graph using the concept of digonalization of transfer matrix to solve simultaneous recurrence relation...
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