Score : $300$ points
$N$ students are taking a $4$-day exam.
There is a $300$-point test on each day, for a total of $1200$ points.
The first three days of the exam are already over, and the fourth day is now about to begin. The $i$-th student $(1 \leq i \leq N)$ got $P_{i, j}$ points on the $j$-th day $(1 \leq j \leq 3)$.
For each student, determine whether it is possible that he/she is ranked in the top $K$ after the fourth day.
Here, the rank of a student after the fourth day is defined as the number of students whose total scores over the four days are higher than that of the student, plus $1$.
Input is given from Standard Input in the following format:
$N$ $K$
$P_{1,1}$ $P_{1,2}$ $P_{1,3}$
$\vdots$
$P_{N,1}$ $P_{N,2}$ $P_{N,3}$
Print $N$ lines. The $i$-th line $(1 \leq i \leq N)$ should contain Yes if it is possible that the $i$-th student is ranked in the top $K$ after the fourth day, and No otherwise.
3 1 178 205 132 112 220 96 36 64 20
Yes Yes No
If every student scores $100$ on the fourth day, the $1$-st student will rank $1$-st.
If the $2$-nd student scores $100$ and the other students score $0$ on the fourth day, the $2$-nd student will rank $1$-st.
The $3$-rd student will never rank $1$-st.
2 1 300 300 300 200 200 200
Yes Yes
4 2 127 235 78 192 134 298 28 56 42 96 120 250
Yes Yes No Yes