 and 61 in Rochester. A slight chance for some rain showers into Tuesday as well, otherwise sunny with our highs in the upper 70s and lower 80s, with a high of 79 in International Falls, 77 in Duluth, 81 in Minneapolis, and 79 in Rochester. A chance for some rain early Tuesday night, then mostly clear with a low in the mid-50s and mid-60s, with a low of 56 in International Falls, 57 in Duluth, 64 in Minneapolis, and 61 in Rochester.