代数部分1.求最大的整数k,使得下列命题为真.已知任意2 009个非退化的三角形.将每个三角形的三边染上颜色,且一条边染上蓝色,一条边染上红色,一条边染上白色.对于每种颜色,将边的长度进行分类排序,且设蓝色边的长度满足b1≤b2≤…≤b2 009;红色边的长度满足r1≤r2≤…≤r2 009; Algebraic part 1. Find the largest integer k such that the following proposition is true: Any 2 009 non-degenerate triangles are known Each side of each triangle is colored and one side is colored blue and one side is stained Red, one side stained white. For each color, the length of the side of the classification, and set the length of the blue side to meet the b1 ≤ b2 ≤ ... ≤ b2 009; red edge length r1 ≤ r2 ≤ ... ≤ r2 009;