#include<bits/stdc++.h>
using namespace std;
#define sz(s) int((s).size())
const int AL = 26;
const int N = 2e5 + 10;
string s, t;
int pre[N], suff[N], pos[AL], ind;
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cin >> s >> t;
for(int i = 0; i < sz(s); ++ i){
if(ind < sz(t) && s[i] == t[ind])
pos[s[i] - 'a'] = ind ++;
pre[i] = pos[s[i] - 'a'];
}
ind = sz(t) - 1; memset(pos, 0, sizeof(pos));
for(int i = sz(s) - 1; i >= 0; -- i){
if(ind >= 0 && s[i] == t[ind])
pos[s[i] - 'a'] = sz(t) - (ind --);
suff[i] = pos[s[i] - 'a'];
}
for(int i = 0; i < sz(s); ++ i)
if(pre[i] + suff[i] < sz(t)) return cout << "No\n", 0;
cout << "Yes\n";
return 0;
}
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