Final Day

AtCoder

IDabc228_c

Time2000ms

Memory256MB

Difficulty—

$N$ 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 $1$. ## Constraints * $1 \leq K \leq N \leq 10^5$ * $0 \leq P_{i, j} \leq 300 \, (1 \leq i \leq N, 1 \leq j \leq 3)$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $K$ $P_{1,1}$ $P_{1,2}$ $P_{1,3}$ $\vdots$ $P_{N,1}$ $P_{N,2}$ $P_{N,3}$ [samples]

Samples

Input #1

3 1
178 205 132
112 220 96
36 64 20

Output #1

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.

Input #2

2 1
300 300 300
200 200 200

Output #2

Yes
Yes

Input #3

4 2
127 235 78
192 134 298
28 56 42
96 120 250

Output #3

Yes
Yes
No
Yes

API Response (JSON)

{
  "problem": {
    "name": "Final Day",
    "description": {
      "content": "$N$ 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 b",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc228_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "$N$ students are taking a $4$\\-day exam.\nThere is a $300$\\-point test on each day, for a total of $1200$ points.\nThe first three days of the exam are already over, and the fourth day is now about to b...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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