良好的化学反应
Good Chemistry
题目详情
f（乙醇）= 6
f（扑热息痛）= 242
f（咖啡因）= 630
f（丙酮）= 12
f(尿嘧啶) = 128
f（萘）= 330
f（硝化甘油）= 210
f（三磷酸腺苷）= ?
V-E+F=2
f(ethanol) = 6
f(paracetamol) = 242
f(caffeine) = 630
f(acetone) = 12
f(uracil) = 128
f(naphthalene) = 330
f(nitroglycerin) = 210
f(adenosine triphosphate) = ?
解析
欧拉公式 () 适用于平面图和多面体。的 每个分子的分子结构对应于一个平面图，其中 顶点是原子（不包括氢，根据典型约定 分子图），键是边，“面”是不同的数量 图形将平面分割成的区域。例如，对于扑热息痛， V=11、E=11、F=2。
如果你知道这一点，那么你可能会发现我们已经设置了 f(分子) 等于 VEF！因此，f（三磷酸腺苷）= 31334 = 4092。
祝贺你们解决了本月难题的人，特别是 Jean-Baptiste Rouquier，本月随机选出的 Jane Street 获胜者 T 恤！
Original Explanation
Euler’s formula (V-E+F=2) applies to planar graphs as well as polyhedra. The molecular structure of each molecule corresponds to a planar graph, where Vertices are atoms (excluding hydrogens, per the typical convention for molecular diagrams), bonds are Edges, and “Faces” are the number of distinct regions into which the graph splits the plane. So for example, for paracetamol, V=11, E=11, and F=2.
If you knew that, then you could probably figure out that we had set f(molecule) equal to VEF! So, f(adenosine triphosphate) = 31334 = 4092.
Congratulations to those of you who solved this month’s puzzle, especially Jean-Baptiste Rouquier, this month’s randomly-chosen winner of a Jane Street t-shirt!