Big Array

AtCoder
IDabc061_c
Time2000ms
Memory256MB
Difficulty
There is an empty array. The following $N$ operations will be performed to insert integers into the array. In the $i$\-th operation $(1≤i≤N)$, $b_i$ copies of an integer $a_i$ are inserted into the array. Find the $K$\-th smallest integer in the array after the $N$ operations. For example, the $4$\-th smallest integer in the array ${1,2,2,3,3,3}$ is $3$. ## Constraints * $1≤N≤10^5$ * $1≤a_i,b_i≤10^5$ * $1≤K≤b_1…+…b_N$ * All input values are integers. ## Input Input is given from Standard Input in the following format: $N$ $K$ $a_1$ $b_1$ $:$ $a_N$ $b_N$ [samples]
Samples
Input #1
3 4
1 1
2 2
3 3
Output #1
3

The resulting array is the same as the one in the problem statement.
Input #2
10 500000
1 100000
1 100000
1 100000
1 100000
1 100000
100000 100000
100000 100000
100000 100000
100000 100000
100000 100000
Output #2
1
API Response (JSON)
{
  "problem": {
    "name": "Big Array",
    "description": {
      "content": "There is an empty array. The following $N$ operations will be performed to insert integers into the array. In the $i$\\-th operation $(1≤i≤N)$, $b_i$ copies of an integer $a_i$ are inserted into the ar",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc061_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There is an empty array. The following $N$ operations will be performed to insert integers into the array. In the $i$\\-th operation $(1≤i≤N)$, $b_i$ copies of an integer $a_i$ are inserted into the ar...",
      "is_translate": false,
      "language": "English"
    }
  ]
}
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