codeforces 957C -Three-level Laser(二分+数学)

解决codeforces 957C问题,通过二分查找和数学分析确定三个能量状态以达到最大能量转换效率,考虑限制条件Ek - Ei ≤ U。

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Problem Description

An atom of element X can exist in n distinct states with energies E1 < E2 < ... < En. Arkady wants to build a laser on this element, using a three-level scheme. Here is a simplified description of the scheme.

Three distinct states i, j and k are selected, where i < j < k. After that the following process happens:

  1. initially the atom is in the state i,
  2. we spend Ek - Ei energy to put the atom in the state k,
  3. the atom emits a photon with useful energy Ek - Ej and changes its state to the state j,
  4. the atom spontaneously changes its state to the state i, losing energy Ej - Ei,
  5. the process repeats from
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