This paper first introduces traditional question of remainder: "known remainder of a positive integer to be different positive integer divide, seeking this positive integer", then compares and analyzes exhaustive algorithm and the Chinese remainder theorem (Sunzi theorem) with mathematical analysis algorithm, and with computer programming.

This paper introduces traditional question of remainder—“known remainder of a positive integer to be different positive integer divide,seeking this positive integer",compares and analyzes exhaustive algorithm and the Chinese remainder theorem(Sunzi theorem)with mathematical analysis algorithm,and computer programming.

This paper analyzes the "nine different numerals constitute a equation of multiplication",designs a recursive backtrack algorithm and non-recursive backtrack algorithm,gives the general design for exhaustive algorithm of NP problem,and at the same time,compares the characteristics of two algorithms,and experimental testing.

The exhaustive search algorithm was applied to the shortened RM code,and the searching speed was analyzed.

In this paper the 2K-H type straight tooth planetary gear retarder is taken as an example and a new exhaust algorithm is adopted in computer,and the layout method of the computer program is supplied.

Eighteen operation patterns of automatic bus transfer equipments with pentagonal wiring and dual sources are introduced,which is constructed by using decomposition-combina- tion method and proved same as those constructed by using exhaust algorithm.

A new method of earthquake localization—Method of Exhaustion is introduced in this paper.

Moreover,exact results are rapidly obtained through the genetic algorithms,which can be confirmed by the method of exhaustion.