A conservative estimate for the number of operations the grading server can handle per second is 10810^8108, but it could be closer to 5⋅1085 \cdot 10^85⋅108 given good constant factors*.

assign either f(ai)f(ai)f(a_i) to aiaia_i or f(bi)f(bi)f(b_i) to bibib_i.

What's the smallest number of operations required to make aaa and bbb similar to each other?

otherwise assign 000 to xxx;

the value of the permutation is xxx at the end of this process.

initially, an integer variable xxx is equal to 000;

The total amount of balls in the bag is odd

you can choose two balls with different colors and take them out of the bag.

Find any possible color of the remaining balls.

Any left shoe can be paired with any right shoe of the same size

Pick an index iii such that (1≤i≤N)(1 \le i \le N)(1≤i≤N) and set Ai:=XA_i := XAi​:=X where 0≤X<1010100 \le X \lt 10^{10^{10}}0≤X<101010

Each box contains ≥1\ge 1≥1 balls.

Note: A permutation of length NNN is an array where every integer from 111 to NNN occurs exactly once.

He can get it repaired by spending XXX rupees

buy a new phone by spending YYY rupees

REPAIR

strictly greater than 989898 °F.

T — the number of test cases.

YES