This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
In the name of Allah
made by: Ahmed_Solyman
*/
#include <bits/stdc++.h>
#include <ext/rope>
using namespace std;
using namespace __gnu_cxx;
#pragma GCC optimize("-Ofast")
#pragma GCC optimize("-O1")
//-------------------------------------------------------------//
typedef long long ll;
typedef unsigned long long ull;
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define PI acos(-1)
#define lb lower_bound
#define ub upper_bound
#define endl '\n'
#define all(v) v.begin(),v.end()
#define allr(v) v.rbegin(),v.rend()
#define sum_to(n) (n*(n+1))/2
#define pb push_back
#define pf push_front
#define fil(arr,x) memset(arr,x,sizeof(arr))
const ll mod=1e9+7;
int dx[8]={0,1,0,-1,1,1,-1,-1};
int dy[8]={1,0,-1,0,1,-1,-1,1};
//-------------------------------------------------------------//
ll lcm(ll a,ll b)
{
return (max(a,b)/__gcd(a,b))*min(a,b);
}
void person_bool(bool x)
{
cout<<(x?"DA":"NE")<<endl;
}
int main()
{
//freopen("input.txt","r",stdin);
//freopen("output.txt","w",stdout);
#ifndef ONLINE_JUDGE
// freopen("input.in", "r", stdin);
// freopen("output.out", "w", stdout);
#endif
fast
int t;cin>>t;
while(t--){
string s;cin>>s;
string a="",b="";
bool flag=0;
for(int i=0;i<(int)s.size();i++){
if(i<(int)s.size()-1){
if(s.substr(i,2)=="->"){
flag=1;
i++;
continue;
}
}
if(!flag)a+=s[i];
else b+=s[i];
}
a+="+";b+="+";
vector<int>f1(26),f2(26);
auto solve=[&](string g,bool f){
string p="";
for(char c:g){
if(c=='+'){
int n=p.size();
int factor=1;
if(p[0]>='1' && p[0]<='9'){
factor=p[0]-'1'+1;
}
for(int i=(factor==1?0:1);i<n;i++){
int h=1;
if(i<n-1 && p[i+1]>='1' && p[i+1]<='9'){
h=p[i+1]-'1'+1;
}
if(!f){
f1[p[i]-'A']+=h*factor;
}
else{
f2[p[i]-'A']+=h*factor;
}
if(h!=1){
i++;
}
}
p="";
continue;
}
p+=c;
}
};
solve(a,0);solve(b,1);
bool valid=1;
for(int i=0;i<26;i++){
valid&=(f1[i]==f2[i]);
}
person_bool(valid);
}
return 0;
}
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