Okay, *phew*. Then you can do one of three things;
1. Start the installer of Linux Mint 14, and at the "Installation Type" step it might offer you to replace Ubuntu 12.10 if it properly detects it.
2. If it doesn't offer to do this in the "Installation Type" step of the installer, you would at that step select the last option--do go to the manual partitioning step. Here you would indicate the Ubuntu root partition to be used as mount point / for Linux Mint, file system ext4, and for it to be formatted. And you would indicate the Ubuntu swap partition to be used for Linux Mint as swap.
3. If the above sounds too complex, the alternative is to let the Linux Mint installer handle everything. First, press alt+f2 and in the run dialog type the following command:
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sudo swapoff -a
That disables the Linux Mint installer from using the Ubuntu swap partition. Then open GParted from the menu, and delete the Ubuntu root and swap partitions. Apply all changes. Then start the installer, and at the "Installation Type" step of the installer choose to install alongside Windows. The installer will then use the free disk space to do that.