"use strict";
function Main(input) {
    let nums = input.split(/\s/).map((v) => v - 0);
    let k = BigInt(nums[0]);
    const a = BigInt(nums[1]);
    const b = BigInt(nums[2]);

    let bs = 1n + k;
    if (a < b && k >= a - 1n) {
        let t = (k - (a - 1n)) / 2n;
        bs = 1n + (k - t * 2n) + (b - a) * t;
    } 
    console.log(bs.toString());
}

Main(require("fs").readFileSync("/dev/stdin", "utf8"));
