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import java.util.*;
class Infix{
static int pred(char ch){
switch(ch){
case '+':
case '-':
return 1;
case '*':
case '/':
return 2;
case '^':
return 3;
}
return -1;
}
static String infx(String str){
String result = "";
Stack<Character> st = new Stack<>();
for(int i=0;i<str.length();i++){
char c = str.charAt(i);
if(Character.isLetterOrDigit(c))
result+=c;
else if(c=='(')
st.push(c);
else if(c==')'){
while(!st.isEmpty() && st.peek()!='(')
result+=st.pop();
st.pop();
}
else{
while(!st.isEmpty() && pred(c) <= pred(st.peek())){
result+=st.pop();
}
st.push(c);
}
}
while(!st.isEmpty()){
if(st.peek()=='(')
return "INV";
result+=st.pop();
}
return result;
}
public static void main(String[] args){
String str = "a+b*(c^d-e)^(f+g*h)-i";
System.out.println(infx(str));
}
}
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