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01200.cpp
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01200.cpp
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#include <bits/stdc++.h>
using namespace std;
#define ll long long
unordered_set<char> op({
'-', '+'
});
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
ll n; cin >> n;
cin.ignore(1000, '\n');
while(n--){
string str; getline(cin, str);
ll mark = 0, xl=0, xr=0, vl=0, vr=0;
for(ll i = 0; str[i]; i++){
if(str[i] == '-'){
str.insert(i, " ");
i++;
}
else if(str[i] == '+'){
str[i] = ' ';
}
else if(str[i] == '=') mark = i;
else if(str[i]=='x'){
if(!str[i-1] || str[i-1] == ' ' || str[i-1] == '-' || str[i-1] == '=') str.insert(i, "1");
}
}
string left = str.substr(0,mark);
string right = str.substr(mark+1);
stringstream ssl(left), ssr(right); string temp;
// cout << right << "\n";
// cout << left << "\n";
while(ssl >> temp){ // left part
// cout << *(temp.end()-1) << " ";
if(*(temp.end()-1) == 'x'){ // extract x
temp.pop_back();
xl += stoi(temp);
continue;
}
vl += stoi(temp);
}
while(ssr >> temp){ // right part
// cout << *(temp.end()-1) << " ";
if(*(temp.end()-1) == 'x'){ // extract x
temp.pop_back();
xr += stoi(temp);
continue;
}
vr += stoi(temp);
}
ll x = xl-xr;
ll v = vr-vl;
if(x==0){
if(v==0) cout << "IDENTITY\n";
else cout << "IMPOSSIBLE\n";
continue;
}
double res = floor((double)v/x);
if(res==-0) cout << 0 << "\n";
else cout << res << "\n";
}
return 0;
}