function Main(input){
tmp = input.split(" ");
var A = parseInt(tmp[1]);
var N = parseInt(tmp[0]);
var B = parseInt(tmp[2]);
  
  if(A*N<B){console.log(A*N);}
  else if(A*N>B){console.log(B);}
else if(A*N==B){console.log(A*N);}
}
Main(require("fs").readFileSync("/dev/stdin", "utf8"));