'use strict'
function main(input) {
    const tmp = Array.from(input.split(' '));

    const N = parseInt(tmp[0], 10);
    const A = parseInt(tmp[1], 10);
    const taxiFee = parseInt(tmp[2], 10);

    const trainFee = A * N;

    console.log(Math.min(trainFee, taxiFee));
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));