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In this paper, we propose a simple loss less algorithm which can compress all types of images with the same high Compression Rate. The algorithm consists of two phases. First, it removes the correlation between pixels with Snake Scan to get residual of data. And then encode the residual of data with an Adaptive Arithmetic Coding. This Adaptive Arithmetic Coding only uses adjacent data to build the probability model. 24 color images provided by Kodak Company were used to test compression rate of this proposed algorithm. The results show the efficiency of this proposed algorithm is better than original Adaptive Arithmetic Coding method.