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The demand for faster failure-recovery in the Internet has led to the development of several IP Fast Reroute (IPFRR) schemes, which are all too computationally expensive or unsatisfactory in protection coverage. In this paper, we propose Minimum Protection Cost Tree (MPCT) for IPFRR using Tunnel. By constructing an MPCT for each hypothetical failed neighbor, MPCT finds the protection paths for all the affected destinations. First, MPCT provides 100% single-node protection coverage by direct forwarding (DF) and re-protection. Second, the computational complexity of MPCT is less than one full shortest path first (SPF) calculation. Third, by simulation with the data from CERNET, Rocketfuel and Brite, we show that even without DF and re-protection, MPCT can provide more than 99.7% protection coverage for single-node failures. We believe that our scheme MPCT moves a big step towards practical deployment.