vector a[100005]; and int k[114514]; causes tle because n <= 1e5 so you are doing 2e5 * 1e5 operations

I have corrected it: https://mirror.codeforces.com/contest/1775/submission/188960544. Yes, your code indeed works in $$$O(\sum k_i)$$$, but there are too many minor issues in your code:

1. The most important, you don't use fastio. fastio means cin.tie(0) -> sync_with_stdio(0). That is the key reason.
2. What tn757 said is also a key reason. Sorry for my previous comments. It allocates a large array for every test case.
3. #define int long long I know many people like this, but long long is slower than int. Here, int is enough. I once get TLE using long long, and get AC using int.
4. if(s[a[i][j]]==1) { f=1; }: I suggest you to add a break: if(s[a[i][j]]==1) { f=1; break; }. This optimization also works for if(f == 0) {ans = "Yes\n";}.
5. vector.push_back is slower than memory pre-allocation using resize.

Thanks for giving me a chance to improve my debugging ability.