rng_10s

AtCoder

IDagc026_b

Time2000ms

Memory256MB

Difficulty—

Ringo Mart, a convenience store, sells apple juice. On the opening day of Ringo Mart, there were $A$ cans of juice in stock in the morning. Snuke buys $B$ cans of juice here every day in the daytime. Then, the manager checks the number of cans of juice remaining in stock every night. If there are $C$ or less cans, $D$ new cans will be added to the stock by the next morning. Determine if Snuke can buy juice indefinitely, that is, there is always $B$ or more cans of juice in stock when he attempts to buy them. Nobody besides Snuke buy juice at this store. Note that each test case in this problem consists of $T$ queries. ## Constraints * $1 \leq T \leq 300$ * $1 \leq A, B, C, D \leq 10^{18}$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $T$ $A_1$ $B_1$ $C_1$ $D_1$ $A_2$ $B_2$ $C_2$ $D_2$ $:$ $A_T$ $B_T$ $C_T$ $D_T$ In the $i$\-th query, $A = A_i, B = B_i, C = C_i, D = D_i$. [samples]

Samples

Input #1

14
9 7 5 9
9 7 6 9
14 10 7 12
14 10 8 12
14 10 9 12
14 10 7 11
14 10 8 11
14 10 9 11
9 10 5 10
10 10 5 10
11 10 5 10
16 10 5 10
1000000000000000000 17 14 999999999999999985
1000000000000000000 17 15 999999999999999985

Output #1

No
Yes
No
Yes
Yes
No
No
Yes
No
Yes
Yes
No
No
Yes

In the first query, the number of cans of juice in stock changes as follows: (D represents daytime and N represents night.)
$9$ →D $2$ →N $11$ →D $4$ →N $13$ →D $6$ →N $6$ →D x
In the second query, the number of cans of juice in stock changes as follows:
$9$ →D $2$ →N $11$ →D $4$ →N $13$ →D $6$ →N $15$ →D $8$ →N $8$ →D $1$ →N $10$ →D $3$ →N $12$ →D $5$ →N $14$ →D $7$ →N $7$ →D $0$ →N $9$ →D $2$ →N $11$ →D …
and so on, thus Snuke can buy juice indefinitely.

Input #2

Output #2

No
No
No
No
No
No
Yes
Yes
No
No
No
No
Yes
Yes
Yes
No
No
No
Yes
Yes
Yes
No
No
No

API Response (JSON)

{
  "problem": {
    "name": "rng_10s",
    "description": {
      "content": "Ringo Mart, a convenience store, sells apple juice. On the opening day of Ringo Mart, there were $A$ cans of juice in stock in the morning. Snuke buys $B$ cans of juice here every day in the daytime. ",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "agc026_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Ringo Mart, a convenience store, sells apple juice.\nOn the opening day of Ringo Mart, there were $A$ cans of juice in stock in the morning. Snuke buys $B$ cans of juice here every day in the daytime. ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments