Fat-water ambiguity is an intrinsic problem from chemical shift encoded imaging model. When this problem is not well solved throughout the whole image, fat-water swaps appear and result in inaccurate fat quantification. The success of solving the ambiguity relies on pre-assumptions, e.g. the magnetic field continuity or the prior knowledge of the adipose/aqueous tissue distribution etc. In our work, we proposed to incorporate the T1 difference of fat and water to help solve the ambiguity problem. Proposed method can obtain PDFF and accurate T1 mapping simultaneously with B1+ correction. The sequence could cover the whole liver within a single breath-hold.