Units on a rounding boundary
Authored for Parity against public code sets (ICD-10-CM, HCPCS Level II, CMS place of service, FDA NDC). Deliberately lands on an exact multiple, where a "always round up" heuristic overbills.
Field mean
100.0
across 28 models
Models scoring 100
28
of 28
Models scoring 0
0
of 28
What the model was given
REFERENCE MATERIAL FOR THIS ITEM
HCPCS DRUG BILLING UNITS
Billing units are the administered dose divided by the descriptor dosage. A
partial unit is billed as a whole unit. An exact multiple is billed as that
multiple and is not rounded up.
Descriptor for this exercise: J1745 — injection, infliximab, 10 mg.A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
Required keys: "units_administered" (integer) and "units_wasted" (integer).json{
"kind": "fields",
"fields": {
"units_administered": 30,
"units_wasted": 0
}
}Every model's answer
Sorted by score. Open a row for the response and, where the vendor exposes it, the reasoning behind it.
100Claude Fable 5.1 · Anthropic6.1s · 27 out | 3.0s · 27 out | 5.2s · 27 out
json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Gemini 3.7 Flash · Google2.2s · 172 out | 2.5s · 179 out | 2.6s · 220 out
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 150 tokens
**Calculating Billing Units**
I've determined that for infliximab (HCPCS J1745), based on a 300 mg administered dose and a descriptor dosage of 10 mg, the billing units are 30.
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 191 tokens
**Calculating Units**
I'm currently focused on determining the appropriate billing units. My analysis indicates that both "units_administered" and "units_wasted" will be integers, derived from the provided injection details and the descriptor dosage.
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100GPT-5.5 · OpenAI2.1s · 60 out | 2.5s · 70 out | 2.0s · 69 out
Reasoning · 36 tokens
**Calculating billing units**
I need to create a JSON block to provide the answer. First, I should calculate the billing units based on the administered dose divided by the descriptor dosage of 10mg. For example, if the total dose is 300mg, that would come to 30 units. Since there’s no wasted dose, that would equate to 0. Let's double-check to ensure all figures are accurate before finalizing the JSON.json{"units_administered":30,"units_wasted":0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 39 tokens
**Calculating medication dosage**
I need to provide an answer in a specific JSON format. For the medication J1745, I’m calculating in 10 mg units. I see that if 300 mg is administered, I would divide that by 10 to get 30 units exactly. The goal is to ensure there’s no wastage, meaning 0 units are wasted. That feels like a clear-cut calculation! Let’s make sure I format it correctly in JSON.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 38 tokens
**Calculating compute units**
I need to prepare the answer in a JSON format. For the compute units, I'm figuring out J1745 with a dosage of 10 mg. If I'm administering 300 mg and dividing that by 10, it gives me 30. There's no wastage here, so that means the amount wasted is 0. Everything seems to be lining up correctly for this calculation!json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100GPT-5.6 Sol · OpenAI1.2s · 29 out | 1.6s · 29 out | 1.8s · 29 out
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Grok 4.6 · xAI9.1s · 402 out | 7.1s · 429 out | 5.9s · 360 out
Reasoning · 381 tokens
The problem is: A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 408 tokens
The problem is: A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 339 tokens
The problem is: A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Grok 4.5 · xAI4.0s · 262 out | 3.4s · 219 out | 3.8s · 245 out
Reasoning · 241 tokens
The problem is: A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 198 tokens
The problem states: A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 224 tokens
The problem states: A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Gemini 3.1 Pro · Google4.3s · 216 out | 5.7s · 348 out | 4.4s · 208 out
Reasoning · 187 tokens
**My Thought Process on Infliximab Billing Units**
Alright, let's break down how I arrived at the billing units for this infliximab administration. The core of the task, as I understand it, is to interpret the HCPCS code J1745 and apply it to the specific dosage administered to the member.
My starting point is the descriptor for J1745: "injection, infliximab, 10 mg." This tells me that each billing unit corresponds to 10 mg of infliximab. It’s a straightforward conversion factor.
Next, I look at the member's actual administered dose. The information clearly states that the member received exactly 300 mg of infliximab. This is the total quantity of the drug that entered the patient's system.
To determine the number of "units administered," the calculation becomes simple division: the total administered dose divided by the dosage per billing unit. So, 300 mg administered divided by 10 mg per unit equals 30 units. That's the primary figure I need to report for `units_administered`.
Now, I also need to consider any wastage. The notes explicitly state that three 100 mg single-dose vials were used, and critically, there was "no wastage." This means the entire contents of the vials were administered to the patient. Therefore, the wasted dose is 0 mg. Consequently, the `units_wasted` will also be 0.
Finally, I assemble these figures into the required JSON format. I need two integer keys: `units_administered` and `units_wasted`. Based on my calculations, `units_administered` is 30 and `units_wasted` is 0. This leads directly to the resulting JSON object:
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
That's the complete chain of reasoning, from understanding the HCPCS code's definition to accounting for the exact administered quantity and any potential wastage, ultimately leading to the final, precisely calculated billing units.
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 319 tokens
**My Thought Process on Calculating Infliximab Billing Units**
My initial understanding of the problem was straightforward: I needed to determine the billed units for infliximab administered to a member. The scenario provided a clear administered dose of 300 mg, derived from three 100 mg vials, with absolutely no wastage. The key piece of information I latched onto was the HCPCS code, J1745, and its corresponding descriptor dosage of 10 mg.
My first instinct was to divide the administered dose by the descriptor dosage. So, for the administered units, I calculated: 300 mg (administered) / 10 mg (per unit) = 30 units. This seemed direct and logical.
Next, I considered the wastage. The problem explicitly stated "no wastage," so the wasted amount was 0 mg. Applying the same logic, the wasted units would be 0 mg (wasted) / 10 mg (per unit) = 0 units.
I then paused to confirm my understanding and execution. I mentally re-read the problem, specifically focusing on the phrase "exactly 300 mg" and "no wastage." I wanted to ensure I wasn't missing any nuances, particularly regarding potential partial units. My calculation of 300 mg / 10 mg yielded exactly 30 units, with no remainder, so there were no partial units to consider. Similarly, 0 mg of wastage translated cleanly to 0 units.
The requirement for specific output keys – "units_administered" and "units_wasted" – was also clear. I confirmed that my calculated values, 30 and 0 respectively, were integers, as required.
Finally, I reviewed the task's constraint to provide a single JSON block. With my calculations verified and the output format confirmed, I was confident in constructing the final JSON output. My math for administered units (300 / 10 = 30) and wasted units (0 / 10 = 0) was sound. The problem essentially boiled down to a direct application of the provided dosage information.
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 179 tokens
**My Thought Process for Calculating Infliximab Units**
Okay, so my primary objective here is to quantify the units of infliximab that were administered and any units that were ultimately wasted. I'm presented with a specific descriptor for this medication: J1745, which represents "injection, infliximab, 10 mg."
My starting point is the administered dose, which is given as 300 mg. To translate this into billing units based on the J1745 descriptor, I need to divide the total administered milligrams by the dosage per unit. So, for the administered portion, that's 300 mg divided by 10 mg per unit, which clearly gives me 30 units.
Next, I consider any wasted units. The information I have explicitly states "no wastage." Therefore, for the wasted units, it's a straightforward 0 units.
Now, I'll perform a quick check to ensure I'm on the right track and have met all the requirements. The fundamental principle for billing units in this context is indeed the administered dose divided by the descriptor dosage. My calculation of 30 units for administration aligns with this. For wastage, the 0 units is also correct given the absence of any waste. The required keys are "units_administered" and "units_wasted," and both of these need to be integers, which 30 and 0 certainly are.
So, to summarize the final output I'll generate:
* `units_administered`: 30
* `units_wasted`: 0
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Claude Opus 5 · Anthropic1.3s · 53 out | 2.0s · 53 out | 1.4s · 53 out
json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Gemini 3 Flash · Google4.5s · 390 out | 5.3s · 464 out | 4.3s · 366 out
Reasoning · 361 tokens
**My Thought Process on HCPCS Drug Billing Units for Infliximab**
Alright, let's break down this HCPCS drug billing unit calculation. The core rule I'm working with is straightforward: **Billing Units = (Administered Dose) / (Descriptor Dosage)**, with a specific stipulation that **partial units are always rounded *up* to the nearest whole unit, unless it's an exact multiple.**
In this particular scenario, I'm dealing with J1745, which represents infliximab at a descriptor dosage of 10 mg. The member received a total of 300 mg. To figure out the `units_administered`, I divide the administered dose by the descriptor dosage: 300 mg / 10 mg. That gives me exactly 30. Since this is an exact multiple, there's no need for rounding up – it stays at 30.
Next, I need to consider wastage. The problem explicitly states "no wastage," meaning the wasted dose is 0 mg. Applying the same formula for `units_wasted`: 0 mg / 10 mg. This calculation results in 0.
So, my final values are:
* `units_administered`: 30
* `units_wasted`: 0
Now, I'm just performing a quick self-check to ensure I've met all the requirements for the output format. I need exactly one JSON code block, and it must contain the required keys (`units_administered`, `units_wasted`). Both of these are present and correctly formatted as integers. The calculation itself adheres to the rule about exact multiples, so no rounding was necessary, and the final result is accurate according to the provided information. Everything looks good here.
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 435 tokens
**My Thought Process for Determining Billing Units for Infliximab (J1745)**
Alright, let's break down this Infliximab scenario. My primary goal here is to accurately determine the billing units for HCPCS code J1745, which represents Infliximab.
First, I've identified the core components:
* The HCPCS code is **J1745**, which, according to the descriptor, is for Infliximab at a dosage of **10 mg**.
* The member actually **received 300 mg** of the medication.
* The source of this medication was **three 100 mg single-dose vials**.
* Crucially, the prompt specifies **no wastage**.
Now, I need to apply the billing unit calculation logic. The rule is clear: "Billing units are the administered dose divided by the descriptor dosage. Partial units are billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up."
Let's do the math:
* **Administered Dose:** 300 mg
* **Descriptor Dosage:** 10 mg
So, the calculation is: 300 mg / 10 mg = **30 units**.
Now I need to consider the "partial unit" and "exact multiple" clauses:
* **Is it an exact multiple?** Yes, 300 mg is precisely 30 times the 10 mg descriptor dosage (30 * 10 = 300).
* **Is it a partial unit?** No, because it's an exact multiple.
Therefore, the number of **units administered** is exactly **30**.
Next, I need to address wastage. The prompt explicitly states **"no wastage"**. This is important because if there had been wastage from a single-dose vial, I would need to consider the Modifier JW. However, in this case, the member received exactly 300 mg from the three 100 mg vials, meaning the total volume in the vials was fully utilized for the administered dose.
So, the number of **units wasted** is **0**.
Finally, to confirm my understanding and ensure I'm meeting the requirements, I'll cross-reference with the provided definition: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." My calculation of 30 units for an exact multiple aligns perfectly with this definition.
In summary, my final output will be:
* "units_administered" (integer): 30
* "units_wasted" (integer): 0
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 337 tokens
**My Thought Process for Calculating HCPCS Code J1745 Units**
Right, so I'm looking at this scenario involving HCPCS code J1745, which is for Infliximab, specifically priced at 10 mg per unit. My member received a total dose of 300 mg, and this came from three separate 100 mg single-dose vials. A key piece of information here is that there was absolutely no wastage involved. My objective is to determine the "units_administered" and "units_wasted" for billing purposes.
First, let's tackle "units_administered." The descriptor dosage, as I noted, is 10 mg per unit. The patient's administered dose was 300 mg. The formula for calculating units administered is straightforward: (Administered dose) divided by (Descriptor dosage). So, that's 300 mg / 10 mg. This calculation yields exactly 30 units. Now, I recall a specific rule: "An exact multiple is billed as that multiple and is not rounded up." Since 300 mg is an exact multiple of 10 mg, the result is indeed 30 units.
Next, I need to determine "units_wasted." Again, the descriptor dosage is 10 mg per unit. The problem explicitly states "with no wastage," meaning the wasted dose is 0 mg. The formula for units wasted is (Wasted dose) divided by (Descriptor dosage). Therefore, it's 0 mg / 10 mg. This calculation results in 0 units.
So, to summarize my findings, the "units_administered" comes out to 30, and the "units_wasted" is 0.
I've double-checked a few things to ensure accuracy. Was the administered dose an exact multiple of the descriptor dosage? Yes, 300 divided by 10 is a perfect 30. Did I encounter any partial units that would require rounding considerations? No, it was an exact multiple. Was there any wastage mentioned? No, the input clearly stated "with no wastage." The crucial keys I needed to derive were "units_administered" and "units_wasted," which I have now confirmed as 30 and 0, respectively.
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Kimi K3 · Moonshot14.6s · 134 out | 1.3s · 100 out | 3.4s · 70 out
Reasoning · 100 tokens
The reference material: J1745 descriptor is injection, infliximab, 10 mg. Billing units = administered dose divided by descriptor dosage = 300 mg / 10 mg = 30 units. Exact multiple, billed as 30, no rounding up.
Wastage: none, so units_wasted = 0.
Required keys: "units_administered" (integer), "units_wasted" (integer).
Output exactly one fenced JSON code block.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 63 tokens
The descriptor: J1745 — injection, infliximab, 10 mg. Billing units = administered dose / descriptor dosage = 300 mg / 10 mg = 30 units. Exact multiple, so 30 units, no rounding up. No wastage, so units_wasted = 0.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 35 tokens
J1745 descriptor: 10 mg per unit. 300 mg administered = 30 units. No wastage, so units_wasted = 0.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Gemini 2.5 Pro · Google6.4s · 498 out | 7.7s · 606 out | 5.8s · 395 out
Reasoning · 469 tokens
Alright, let's break down how I'm approaching this calculation. The core task is to figure out the billing units for administered infliximab and any associated waste.
First, I need to establish the fundamental relationship between the drug and its billing code. I've identified the drug as infliximab, and its corresponding HCPCS code is J1745. The descriptor for J1745 clearly states "injection, infliximab, 10 mg." This is crucial information – it tells me that for billing purposes, one unit directly equates to 10 milligrams (mg) of the drug.
Next, I look at the actual amount of the drug that was given to the patient. The prompt specifies that the member received exactly 300 mg of infliximab.
Now, I can perform the primary calculation for the administered units. The standard formula here is to divide the administered dose by the dosage specified in the descriptor. So, I have 300 mg administered, and the descriptor is 10 mg per unit. This gives me 300 mg / 10 mg, which results in 30 units.
The next step is to consider the rounding rules. The guideline is quite clear: "A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." My calculated value is 30, which is an exact multiple of 10. Therefore, no upward rounding is necessary. The number of administered units, `units_administered`, will be precisely 30.
Then, I move on to the wastage. The prompt explicitly states "with no wastage." This simplifies things considerably.
For the wasted units, I take the wasted amount, which is 0 mg, and divide it by the descriptor dosage of 10 mg. This yields 0 mg / 10 mg, resulting in 0 wasted units. So, `units_wasted` will be 0.
Finally, I'll do a quick double-check to ensure everything is consistent. I have `units_administered` as 30 and `units_wasted` as 0, both of which are integers as expected. The mention of "three 100 mg single-dose vials" is noted. This confirms the total administered dose of 300 mg (3 x 100 mg) and aligns perfectly with the problem statement. This detail is valuable for context but doesn't alter the calculation based on the total administered dose against the HCPCS descriptor dosage.
Based on these steps, I'm ready to construct the JSON output with the calculated values.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 577 tokens
Okay, I need to figure out the billing units for this infliximab administration. My goal here is to get to the precise number of `units_administered` and `units_wasted` to output in a JSON format.
First, I'm identifying the key piece of information: the drug is infliximab, and its HCPCS code is J1745. I know that J1745 is defined as "injection, infliximab, 10 mg." This is crucial because it tells me that *one* billing unit directly corresponds to 10 mg of the drug.
Next, I need to look at how much of the drug was actually given to the patient. The scenario states the member received exactly 300 mg of infliximab.
Now, I can calculate the billing units for the administered dose. The formula I'm using is: `Billing units = Administered dose / Descriptor dosage`. Plugging in the numbers, that's 300 mg divided by 10 mg per unit, which gives me exactly 30 units.
I need to double-check the rules regarding rounding and multiples. The rule states: "An exact multiple is billed as that multiple and is not rounded up." Since 30 is a perfect multiple of 10 (300 / 10 = 30), no rounding is necessary, and the administered units are indeed 30. This confirms my calculation.
Now for wastage. The prompt explicitly states "with no wastage." Therefore, the wasted dose is 0 mg. Consequently, the billing units for the wasted dose are also 0.
Finally, I need to format this information as a JSON object. Based on my calculations, `units_administered` will be 30, and `units_wasted` will be 0.
I'll just do a quick sanity check of the rules again.
* "Billing units are the administered dose divided by the descriptor dosage." Yes, 300 mg / 10 mg = 30 units.
* "A partial unit is billed as a whole unit." This doesn't apply here since the result is a whole number.
* "An exact multiple is billed as that multiple and is not rounded up." Confirmed, 30 is an exact multiple, so it's 30 units.
* The prompt says "no wastage," so `units_wasted` is definitely 0.
* The mention of "three 100 mg single-dose vials" is interesting context for how the drug was supplied, and it confirms that the total available drug was 300 mg (3 * 100 mg). Since the entire 300 mg was administered with no wastage, this detail supports the 0 wasted units.
So, the final figures are: `units_administered`: 30 and `units_wasted`: 0. This is what I'll put into the JSON output.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 366 tokens
Alright, let's break this down. The core task here is to figure out how many billing units we're dealing with for this infliximab administration.
First, I need to nail down the specifics of the drug itself. I've identified that we're talking about **infliximab**, and its associated **HCPCS code is J1745**. Crucially, the billing descriptor for J1745 tells me it's measured in **10 mg increments**. This is my baseline unit.
Next, I look at what was actually given to the patient. The record clearly states the member received a **total of 300 mg of infliximab**.
Now, the calculation: I need to see how many of those 10 mg descriptor units fit into the 300 mg administered dose. The formula is straightforward: `administered_dose / descriptor_dosage`. So, that's `300 mg / 10 mg`, which comes out to exactly **30 units**.
I also need to consider any wastage, as that can impact billing. The problem explicitly states "**no wastage**". This means the wasted amount is 0 mg.
Following the same logic for wastage, `wasted_dose / descriptor_dosage` becomes `0 mg / 10 mg`, which results in **0 wasted units**.
Finally, I have to assemble this into the required JSON format. The `units_administered` will be 30, and `units_wasted` will be 0.
So, my final output will be:
```json
{
"units_administered": 30,
"units_wasted": 0
}
```json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100GLM-5.2 · Z.ai3.2s · 284 out | 2.0s · 99 out | 3.3s · 281 out
Reasoning · 257 tokens
We are asked: member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, no wastage. HCPCS J1745 descriptor: injection, infliximab, 10 mg. Billing units = administered dose / descriptor dosage. 300 mg / 10 mg = 30 units. Since exact multiple, no rounding up. Wasted units = 0 because no wastage and they used three 100 mg vials fully? Wait, billing units are based on administered dose divided by descriptor dosage. 300/10 = 30. Wasted units: if no wastage, 0. But note that J1745 is per 10 mg. Three 100 mg vials = 300 mg total, all administered. No wastage. So units_administered = 30, units_wasted = 0.
Need to output JSON with keys units_administered and units_wasted.
Double-check rules: partial unit billed as whole unit. Exact multiple billed as that multiple, not rounded up. So 30. Wasted units: The concept of wastage typically applies when a vial is partially used and discarded. Here no wastage, so 0.
Output exactly one fenced JSON block.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 72 tokens
The member receives 300 mg of infliximab from three 100 mg vials, no wastage.
J1745 descriptor: injection, infliximab, 10 mg.
Billing units = administered dose / descriptor dosage = 300 mg / 10 mg = 30 units.
No wastage, so units_wasted = 0.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 254 tokens
The member receives 300 mg of infliximab total, from three 100 mg single-dose vials, with no wastage.
Descriptor: J1745 — injection, infliximab, 10 mg.
Billing units = administered dose / descriptor dosage = 300 mg / 10 mg = 30 units.
No wastage, so units_wasted = 0.
Required keys: "units_administered" (integer) and "units_wasted" (integer).
Wait — the key is "units_administered", not "units_billed". Let me re-read.
"units_administered" and "units_wasted".
So units_administered = 30 (the billing units for the administered dose). And units_wasted = 0.
Actually, let me think about this more carefully. "units_administered" — is this the number of billing units administered, or the number of vials? Given the context of HCPCS drug billing units, and the descriptor being 10 mg, the administered dose of 300 mg corresponds to 30 units of J1745. No wastage means 0 units wasted.
So:
- units_administered: 30
- units_wasted: 0json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Claude Opus 4.8 · Anthropic1.5s · 29 out | 1.2s · 29 out | 1.1s · 29 out
json{ "units_administered": 30, "units_wasted": 0 }
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{ "units_administered": 30, "units_wasted": 0 }
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{ "units_administered": 30, "units_wasted": 0 }
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Claude Sonnet 5 · Anthropic2.5s · 71 out | 2.1s · 69 out | 1.4s · 64 out
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{ "units_administered": 30, "units_wasted": 0 }
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{ "units_administered": 30, "units_wasted": 0 }
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Claude Sonnet 4.6 · Anthropic1.3s · 25 out | 1.8s · 25 out | 1.3s · 25 out
json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Qwen3.7 Max · Alibaba7.1s · 406 out | 6.8s · 401 out | 6.0s · 448 out
Reasoning · 374 tokens
The task asks for the number of units administered and units wasted for a drug billing scenario.
Drug: infliximab
Administered dose: 300 mg
Vials used: three 100 mg single-dose vials
Wastage: none
HCPCS code: J1745 — injection, infliximab, 10 mg.
Billing units = administered dose / descriptor dosage.
Descriptor dosage = 10 mg.
Administered dose = 300 mg.
Units administered = 300 / 10 = 30.
Wastage: "no wastage".
Units wasted = 0.
Wait, are units_wasted calculated based on the vials?
Three 100 mg vials = 300 mg total available.
Administered = 300 mg.
Wasted = 0 mg.
Units wasted = 0 / 10 = 0.
Let's double check.
"units_administered" (integer) -> 30
"units_wasted" (integer) -> 0
Keys required: "units_administered", "units_wasted".
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
Is there any trick here? "three 100 mg single-dose vials, with no wastage."
300 mg total. 300 mg administered. 0 mg wasted.
Units administered = 300 / 10 = 30.
Units wasted = 0 / 10 = 0.
Looks straightforward.
I will output the JSON.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 369 tokens
The task asks for the number of billing units administered and wasted for a drug injection based on HCPCS code J1745.
Reference material:
- HCPCS DRUG BILLING UNITS: Billing units = administered dose / descriptor dosage. Partial unit billed as whole unit. Exact multiple billed as that multiple.
- Descriptor: J1745 — injection, infliximab, 10 mg.
- Administered dose: 300 mg.
- Wastage: no wastage (0 mg).
Calculations:
- Administered dose = 300 mg
- Descriptor dosage = 10 mg
- units_administered = 300 / 10 = 30
- Wasted dose = 0 mg
- units_wasted = 0 / 10 = 0
Required keys: "units_administered" (integer), "units_wasted" (integer).
Let's double check.
300 mg / 10 mg = 30 units.
0 mg / 10 mg = 0 units.
Both are integers.
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
Wait, the prompt says "from three 100 mg single-dose vials, with no wastage."
If they used three 100 mg vials, that's 300 mg total. Since there is no wastage, all 300 mg was administered.
So units_administered = 30.
units_wasted = 0.
Looks correct.
No other considerations needed.
End of thought.
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 416 tokens
The task asks for the number of billing units administered and wasted for a specific drug.
Drug: infliximab
Administered dose: 300 mg
Vials used: three 100 mg single-dose vials (total 300 mg)
Wastage: none
Descriptor: J1745 — injection, infliximab, 10 mg.
Billing units = administered dose / descriptor dosage
Administered dose = 300 mg
Descriptor dosage = 10 mg
Billing units administered = 300 / 10 = 30 units.
Wastage = 0 mg.
Billing units wasted = 0 / 10 = 0 units.
Wait, are billing units for administered dose and wasted dose separate?
Yes, "units_administered" and "units_wasted".
Administered: 300 mg -> 30 units.
Wasted: 0 mg -> 0 units.
Let's double check.
"three 100 mg single-dose vials, with no wastage."
Total dose in vials = 300 mg.
Administered = 300 mg.
Wasted = 0 mg.
Units administered = 300 / 10 = 30.
Units wasted = 0 / 10 = 0.
Keys required: "units_administered" (integer) and "units_wasted" (integer).
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
Wait, the prompt says "A partial unit is billed as a whole unit."
300 / 10 = 30. Exact multiple, billed as 30.
0 / 10 = 0.
Everything looks correct.
I'll output the JSON.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100GLM-5.3 · Z.ai0.8s · 165 out | 1.3s · 294 out | 1.1s · 141 out
Reasoning · 137 tokens
Let me work through this. HCPCS J1745 — injection, infliximab, 10 mg. So one billing unit = 10 mg.
Member receives exactly 300 mg from three 100 mg vials, no wastage.
Units administered: administered dose divided by descriptor dosage = 300 / 10 = 30 units. Exact multiple, so billed as 30, not rounded up.
Units wasted: no wastage... wait, but three 100 mg vials = 300 mg total, administered 300 mg, so 0 mg wasted. Units wasted = 0.
So units_administered = 30, units_wasted =0.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 251 tokens
Let me work through this task.
The reference material says:
- Billing units are the administered dose divided by the descriptor dosage.
- A partial unit is billed as a whole unit.
- An exact multiple is billed as that multiple and is not rounded up.
- Descriptor: J1745 — injection, infliximab, 10 mg.
Administered dose: 300 mg. Descriptor dosage: 10 mg. So units = 300 / 10 = 30 units. That's an exact multiple, so 30 units.
Wastage: no wastage — three 100 mg vials, all administered. So units_wasted = 0.
Wait, let me think about the wastage question more carefully. Three 100 mg single-dose vials = 300 mg total, and exactly 300 mg administered, no wastage. So units_wasted = 0.
Note: In real-world HCPCS, J1745 is actually "Injection, infliximab, 10 mg" — yes, that's correct (J1745 is infliximab 10 mg). But the reference material governs anyway.
So:
- units_administered: 30
- units_wasted: 0
Output format: exactly one fenced JSON code block with the two keys.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 101 tokens
The descriptor is J1745 — injection, infliximab, 10 mg. Billing units = administered dose / descriptor dosage = 300 / 10 = 30 units. Exact multiple, so 30 units, no rounding up.
Units administered: 30. Units wasted: 0 (no wastage).
Note: real-world J1745 is 10 mg per unit, so 300 mg = 30 units. Correct.
Wasted units: since no wastage and the vials exactly cover the dose, units_wasted = 0.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Qwen3.8 Max · Alibaba5.4s · 213 out | 4.2s · 203 out | 5.0s · 174 out
Reasoning · 181 tokens
We need answer user's task. Need produce final exactly one fenced JSON code block. Need compute units_administered and units_wasted. Reference: HCPCS drug billing units. Billing units administered dose divided by descriptor dosage. Partial unit billed as whole unit. Exact multiple billed as that multiple not rounded up. Descriptor J1745 injection, infliximab, 10 mg. Member receives exactly 300 mg from three 100 mg single-dose vials, no wastage. Administered dose 300 mg. Descriptor dosage 10 mg per unit. 300/10 = 30 exact, so units_administered=30. Wasted? no wastage, vials 3x100=300 all administered, units_wasted=0. Need JSON only. Ensure integers.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 171 tokens
We need answer user's task. Need produce JSON only. Need analyze.
Task: A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
Required keys: units_administered integer, units_wasted integer.
Reference: HCPCS drug billing units. Billing units are administered dose divided by descriptor dosage. Partial unit billed as whole unit. Exact multiple billed as that multiple not rounded up. Descriptor J1745 — injection, infliximab, 10 mg.
Administered 300 mg. Descriptor dosage 10 mg per unit. 300/10=30 exact. Units administered =30. Wastage no wastage =0. Need JSON block exactly.
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 142 tokens
We need answer user's task. Need produce JSON only. Need analyze.
Task: member receives exactly 300 mg infliximab from three 100 mg single-dose vials, no wastage. Reference: HCPCS drug billing units. Billing units administered dose divided by descriptor dosage. Partial unit billed as whole. Exact multiple billed as multiple. Descriptor J1745 injection, infliximab, 10 mg. So units administered = 300 mg / 10 mg = 30 exact. units_wasted = 0. Required keys units_administered integer units_wasted integer. Output fenced JSON only. Ensure no extra.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100GPT-5.6 Terra · OpenAI0.9s · 22 out | 1.0s · 22 out | 0.9s · 22 out
json{"units_administered":30,"units_wasted":0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{"units_administered":30,"units_wasted":0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{"units_administered":30,"units_wasted":0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100GLM-5.3 Flash · Z.ai2.8s · 178 out | 1.7s · 138 out | 9.5s · 84 out
Reasoning · 134 tokens
The task: HCPCS J1745 infliximab, 10 mg per unit. Member receives exactly 300 mg from three 100 mg single-dose vials, no wastage.
Billing units = administered dose / descriptor dosage = 300 mg / 10 mg = 30 units. Exact multiple, billed as that multiple, not rounded up. So units_administered = 30.
Wastage: no wastage, and the vials were fully used (3 × 100 mg = 300 mg, all administered). So units_wasted = 0.
Note: wastage billing (JW modifier) would be 0 units since 300 mg exactly equals three vials. units_wasted = 0.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 112 tokens
The member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, no wastage.
J1745 descriptor: 10 mg per unit. Billing units = administered dose / descriptor dosage = 300 / 10 = 30 units. Exact multiple, so no rounding up.
Wastage: no wastage — 0 units wasted. Since each vial was 100 mg and full 100 mg used, nothing wasted.
units_administered = 30, units_wasted = 0.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 57 tokens
Infliximab J1745, 10 mg per unit. 300 mg administered = 30 units. Three 100 mg vials, no wastage — 300 mg used, 300 mg from vials, so wasted = 0 mg = 0 units.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Hunyuan 4 · Tencent7.8s · 362 out | 34.9s · 2,083 out | 55.2s · 3,228 out
Reasoning · 336 tokens
We need answer JSON only. Task: HCPCS drug billing units. Descriptor J1745 - injection, infliximab, 10 mg. Billing units are administered dose divided by descriptor dosage. A partial unit billed as whole unit. An exact multiple is billed as that multiple and is not rounded up.
Member receives exactly 300 mg infliximab from three 100 mg single-dose vials, with no wastage.
Units administered: 300 mg / 10 mg = 30 units. Exact multiple, billed as 30, not rounded up. So units_administered = 30.
Units wasted: no wastage => 0. Need integer. Is there any billing for wastage? For J1745, if wastage billing allowed? But no wastage, so 0. Keys: "units_administered": 30, "units_wasted": 0.
Need output exactly one fenced JSON code block and nothing else. Ensure plain integers, no quotes. JSON:
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
Check if any nuance: "with no wastage" means discarded amount zero. Each vial 100 mg, three vials used to administer 300 mg, no leftover. So units wasted 0.
One more nuance: The descriptor dosage is 10 mg. Administered dose 300 mg. 300/10 = 30. Do we bill each vial separately? Three 100 mg vials each 100/10 = 10 units = 30 total. Yes.
Return.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 2,057 tokens
We need answer JSON with required keys: "units_administered" (integer) and "units_wasted" (integer). Need understand task family: HCPCS drug billing units. Descriptor J1745 — injection, infliximab, 10 mg. Billing units are administered dose divided by descriptor dosage. Partial unit billed as whole unit. Exact multiple billed as that multiple and is not rounded up. Wait: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." Let's parse.
Administered dose = exactly 300 mg. Descriptor dosage = 10 mg per unit. Administered dose / descriptor dosage = 300 / 10 = 30. That's an exact multiple (30). Billed as that multiple (30) and is not rounded up. So units_administered = 30.
Wastage: Member receives exactly 300 mg from three 100 mg single-dose vials, with no wastage. We need "units_wasted" integer. The billing units for wastage? Usually for HCPCS drug billing, units billed include administered and wasted. But descriptor dosage 10 mg. Wastage is amount discarded from vials. Three 100 mg vials = total 300 mg in vials. Administered exactly 300 mg, no wastage. So wasted amount = 0 mg. Units wasted = 0/10 = 0 exact multiple? 0 is exact multiple? Billing units are administered dose divided by descriptor dosage? Wait "Billing units are the administered dose divided by the descriptor dosage." That statement refers to administered dose. It defines billing units generally as administered dose divided by descriptor dosage. But then "A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." For wastage, if there was wastage, you'd calculate wasted dose divided by descriptor dosage? The reference material only says "Billing units are the administered dose divided by the descriptor dosage." It doesn't explicitly mention wasted. But the task asks for units_wasted (integer). In HCPCS billing, if a single-dose vial has leftover drug that is wasted, you bill the wasted amount as additional units using the same HCPCS and descriptor (with modifier JW typically). The billing units for waste are calculated the same way: wasted amount / dosage per unit, rounded up to whole unit if partial. But here no wastage, so wasted dose = 0 mg. Units wasted = 0? Let's check: "with no wastage" means amount wasted = 0 mg. 0/10 = 0. Is 0 an exact multiple? Yes, 0 is a multiple of 10 (0*10). Billed as that multiple and not rounded up, so 0. So units_wasted = 0.
Wait, check nuance: The member receives exactly 300 mg from three 100 mg single-dose vials. Each vial is 100 mg. To administer 300 mg, you use three vials completely, 100 mg each, total 300 mg administered, no leftover in vials, no wastage. So wasted amount = 0. Good.
But let's re-read reference: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." It defines billing units solely from administered dose. It doesn't define how to bill wasted amounts. However, the task asks for units_administered and units_wasted. Maybe units_administered is billing units for administered dose: 300 mg / 10 mg = 30 units. units_wasted is billing units for wasted dose: 0 mg / 10 mg = 0 units. Need ensure integer type, no quotes.
Could there be a catch: "A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." Wait, normally in HCPCS billing, you bill the number of units based on the total amount of drug used (administered + wasted), and if the amount per vial isn't a multiple of the dosage, partial units are rounded up? Let's think.
For J1745, descriptor: Injection, infliximab, 10 mg. So 1 unit = 10 mg. If a vial is 100 mg, that's 10 units per vial. Three vials = 30 units total. If administered exactly 300 mg, that's 30 units administered. Since the entire contents of the vials (30 units) are administered, there is no waste. So waste units = 0.
But wait: The reference says "Billing units are the administered dose divided by the descriptor dosage." It does NOT say "total dose (administered + wasted) divided by descriptor dosage." But for wasted, maybe it's "wasted dose divided by descriptor dosage". Since wasted dose is 0, units_wasted = 0 / 10 = 0. Does the "partial unit is billed as a whole unit" apply to waste? If waste were, say, 5 mg, 5/10 = 0.5 partial unit, billed as whole unit = 1 unit wasted. But here waste is 0 mg. 0 is not a partial unit; it's zero. Does the rule say "A partial unit is billed as a whole unit." Zero dose is not a partial unit; it's no drug. So 0 units. Good.
Check "exact multiple is billed as that multiple and is not rounded up." 300/10 = 30 exact multiple, billed as 30, no rounding up to 31. So units_administered = 30. Good.
Need output exactly one fenced JSON code block, with keys "units_administered" and "units_wasted". Integers: 30 and 0. No other keys.
Let's craft final:
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
Check JSON formatting: code block with json. Exactly one fenced JSON code block and nothing else. Ensure no trailing text.
Wait, the instructions: "Reply with exactly one fenced JSON code block and nothing else. No preamble, no commentary before or after, no second code block." So final answer should be just:
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
Double-check key names: "units_administered" (integer) and "units_wasted" (integer). Yes.
Let's verify no nuance about "from three 100 mg single-dose vials". Each vial is single-dose. If single-dose vial, any leftover must be wasted. But they said "with no wastage." That means they administered all 300 mg, using all three vials completely, no leftover. If a vial is 100 mg and you administer 100 mg from it, no waste. Three vials * 100 mg = 300 mg administered. So no waste.
Wait, is infliximab typically billed per 10 mg, and vials are 100 mg, so 10 units per vial. If you have three vials, total available 30 units. Administer 300 mg = 30 units. Waste 0. Yes.
One more nuance: The reference says "Billing units are the administered dose divided by the descriptor dosage." It doesn't mention the total in vial. For administered: 300 / 10 = 30. It says "A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." So if administered dose were 295 mg, 295/10=29.5, partial unit, billed as whole unit? Wait, "A partial unit is billed as a whole unit." Does that mean 29.5 units is billed as 30 units? Let's parse: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." Hmm, "A partial unit is billed as a whole unit" means if the calculation results in a fraction of a unit (i.e., not an exact multiple), you bill the next whole unit? Or does it mean the fractional part is rounded up to a whole unit (i.e., ceiling)? Example: 295 mg / 10 mg = 29.5 units. The 0.5 is a partial unit. Billed as a whole unit means you add one unit for the partial? That would be 30 units total (ceiling). But then they say "An exact multiple is billed as that multiple and is not rounded up." That clarifies that if it's exactly 30.0, you bill 30, not 31. So yes, it's ceiling for partial, but exact multiple stays same.
Our case: 300 mg / 10 mg = 30.0 exact multiple, billed as 30, not rounded up to 31. So units_administered = 30. Correct.
For waste: wasted dose = 0 mg. 0 / 10 = 0. Is 0 an exact multiple? It is 0 * 10 = 0, an exact multiple. Billed as that multiple (0) and not rounded up. So 0. There's no partial unit. So units_wasted = 0.
All good.
Need to ensure no decimal points. Integers: 30, 0.
Final answer only JSON block.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 3,202 tokens
We need answer task. Need parse context.
We are in payer operations, code sets and claim edits family. Task: A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage. Required keys: "units_administered" (integer) and "units_wasted" (integer).
Reference material HCPCS DRUG BILLING UNITS: Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up.
Descriptor: J1745 — injection, infliximab, 10 mg.
We need compute units_administered and units_wasted. But note required keys are named "units_administered" and "units_wasted" (integer). We need infer from scenario.
Given:
- Administered dose: exactly 300 mg from three 100 mg single-dose vials, no wastage.
- Descriptor dosage: J1745 = 10 mg per unit. Billing units = administered dose / descriptor dosage. Partial unit billed as whole unit. Exact multiple is not rounded up.
Administered dose is 300 mg. Divide by 10 mg = 30 units. 300 is exact multiple of 10. So units_administered = 30 (integer). Because billing units for administered amount? Actually units_administered maybe number of HCPCS billing units for the drug administered. The task says "Required keys: units_administered (integer) and units_wasted (integer)." We need figure units_wasted.
We need understand billing for wastage? In HCPCS drug billing, J1745 descriptor is "injection, infliximab, 10 mg". The billing units are based on administered dose (or discarded amount?) Let's recall real world: For Medicare, billing units for J codes are based on the amount administered, and wastage may be billed separately with modifier JW (for discarded drug) or JZ (no discarded). In this harness, reference says: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." It only defines billing units for administered dose. But then asks units_wasted. We need compute wasted units. The scenario: three 100 mg single-dose vials, with no wastage. Wait, "with no wastage" means no drug was wasted. They received exactly 300 mg from three 100 mg vials. Since each vial is single-dose 100 mg, and they used three vials to administer exactly 300 mg, there is no leftover; "no wastage" means nothing discarded. So units_wasted = 0. But let's analyze carefully.
They received exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
- Three 100 mg single-use vials contain total 300 mg. If they administer exactly 300 mg, they use entire contents, no remainder. "No wastage" explicitly states no wastage. Therefore wasted amount = 0 mg. Billing units for wasted amount: 0 mg / 10 mg = 0 units. Partial unit? 0 is exact multiple (0). No rounding. So units_wasted = 0.
But wait: Is "units_administered" the mg? No, required integer, and reference material says billing units are administered dose divided by descriptor dosage. So units_administered is billing units, i.e., 300/10=30. They ask "units_administered" not "dose_administered". Let's read: "A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage. Required keys: "units_administered" (integer) and "units_wasted" (integer)." The task family: "CODE SETS AND CLAIM EDITS". Each item asks for one or more specific values. Required keys named in item itself. Rules: Report codes exactly... Booleans... Where item supplies reference material, authoritative.
The reference only defines: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." Descriptor J1745 — injection, infliximab, 10 mg.
Thus, for administered dose of 300 mg, billing units = 300 / 10 = 30. Since exact multiple, 30.
For wasted dose: It says with no wastage. So wasted dose = 0 mg. Billing units for wasted? The reference material's definition: "Billing units are the administered dose divided by the descriptor dosage." It defines billing units as based on administered dose. What about wasted? Usually wastage billing units are wasted amount divided by descriptor dosage. The question asks "units_wasted". We need compute wasted amount similarly: wasted dose / descriptor dosage. Wasted dose is 0 mg, so 0/10 = 0 units. No partial. So units_wasted = 0.
But let's ensure no subtlety: They received from three 100 mg single-dose vials. Single-dose vials are 100 mg each. If they administer exactly 300 mg, they used three vials. No wastage. So indeed wasted = 0. If there were wastage, e.g., if they had 400 mg from 4 vials and administered 300, waste 100 mg, then units_wasted = 100/10 = 10. But here no wastage.
Wait, the phrase "from three 100 mg single-dose vials, with no wastage." Could "no wastage" mean no drug left in vials, i.e., entire vial contents administered? Since each vial is single-dose 100 mg, and they got three vials, total 300 mg. They received exactly 300 mg. So yes, all 300 mg administered, zero wasted.
But check: In drug billing, when billing from single-dose vials, you bill the number of units based on the total amount in the vial if you use the entire vial, even if the administered dose is less? Actually, for single-dose vials, if you administer less than the full vial, the remainder is wastage. The provider bills the administered amount and the wasted amount separately (JW for waste). In this exercise, "with no wastage" indicates that the entire vial contents were administered? Wait scenario: "A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage." The administered dose is 300 mg, from three 100 mg vials. If each vial is 100 mg, the total drug available from three vials is 300 mg. If they administer exactly 300 mg, they have used all drug, no remaining in vials, so no wastage. Good.
But maybe there is a nuance: J1745 descriptor is "injection, infliximab, 10 mg". Billing units: Infliximab is usually billed per 10 mg. So 300 mg = 30 units. Correct.
Now, is units_wasted maybe a modifier or something? No, integer. Just 0.
Check rounding rule: "A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." For 30, it's exact multiple, not rounded up (still 30). For 0, it's exact multiple (0 times 10 = 0). It's not a partial unit. So 0.
Wait, is 0 an exact multiple? 0 / 10 = 0. Yes, 0 is a multiple of 10 (0*10=0). The rule says exact multiple is billed as that multiple and is not rounded up. 0 is the exact multiple. So 0.
But let's think: In some contexts, if the administered dose is 0? No, administered is 300. Wasted is 0. Billing units for wasted: 0 mg wasted. Divide by 10 mg = 0. No partial. So 0.
Need output exactly one fenced JSON code block with object containing keys "units_administered" and "units_wasted". Values integers: 30 and 0.
Wait, the task requires "units_administered" (integer) and "units_wasted" (integer). Are we sure "units_administered" means billing units, not mg? Let's re-read: "REFERENCE MATERIAL FOR THIS ITEM
HCPCS DRUG BILLING UNITS
Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up.
Descriptor for this exercise: J1745 — injection, infliximab, 10 mg."
The term "Billing units" is defined. The required keys are "units_administered" and "units_wasted". Since the reference is about billing units, and key is "units_administered", it's the billing units for administered dose. If they wanted mg they'd say "dose_administered". Also the example calculation: 300 mg / 10 mg = 30 units. The key is units. So output 30.
Let's verify if "units_wasted" maybe should be number of vials wasted? No, it's units (billing units) of wasted drug. Since 0 mg wasted, 0 units. If they asked vials wasted, it would be 0 too (no vials wasted, all used). But key says units, and integer. So 0.
Could there be any trick with three 100 mg vials? Suppose they administer exactly 300 mg, but because they are single-dose vials, you cannot combine leftover; each vial is 100 mg. To administer 300 mg, they open three vials. If they administer entire contents of each vial (100 mg each), total 300 mg. No wastage. Billing units administered = 30. Wasted = 0. If instead "from three 100 mg single-dose vials" means they had to use three vials, but maybe each vial actually contains slightly more? No, single-dose vial contains 100 mg. The phrase "with no wastage" clarifies no discard. So all 300 mg from vials administered.
Double-check: Infliximab vials: In reality, infliximab is supplied as 100 mg vial. J1745 is per 10 mg. If a patient receives 300 mg, that's 30 units. If prepared from three 100 mg vials, no waste. If from one 100 mg vial? can't get 300. So three vials. All used.
Now output format: exactly one fenced JSON code block and nothing else. No preamble, no commentary. Use code fence with json. Inside object:
{
"units_administered": 30,
"units_wasted": 0
}
Need ensure no trailing commas, valid JSON. Use integers without quotes. The instructions: "Money is in US dollars... Dates...". Not relevant. Booleans etc. Integers are JSON numbers with no units and no quotes. So 30 and 0.
Check if there is any requirement to output "UNKNOWN" if cannot identify. We can identify. So don't use UNKNOWN.
Let's think again about "A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." For 300 mg / 10 mg = 30 exactly. Not rounded up means 30 not 31. Good.
For wasted: 0 mg / 10 mg = 0. Is 0 a partial unit? No, it's exact. So 0. If wasted dose were, say, 5 mg, then 0.5 units, partial unit billed as whole unit => 1 unit wasted. But here 0. So 0.
Wait, is "no wastage" meaning no drug was wasted, but in billing for single-dose vials, do you bill the full vial as administered even if some is left? The scenario says "receives exactly 300 mg ... from three 100 mg single-dose vials, with no wastage." That means the amount received (administered) is 300 mg, drawn from three vials, and no wastage. So all 300 mg available was administered. There is no discrepancy between vial content and administered. So units_administered = 30. If there had been wastage, say they drew 300 mg from four 100 mg vials (i.e., opened four, used 300, wasted 100), then administered 300, wasted 100 mg = 10 units wasted. But they said three vials, no wastage. So 0.
One more nuance: The reference says "Billing units are the administered dose divided by the descriptor dosage." It does NOT explicitly say billing units for wastage are the wasted dose divided by descriptor dosage. But the required key "units_wasted" implies we apply the same conversion to the wasted amount. The scenario says no wastage, so wasted dose = 0. So 0. There's no ambiguity.
Let's also check if "units_administered" might refer to the number of vials administered? No, integer and descriptor dosage conversion. Vials would be 3 vials. But the reference material is about HCPCS drug billing units. J1745 billing units: 10 mg per unit. A 100 mg vial contains 10 units. Three vials contain 30 units. If they administer 300 mg, that's 30 units. If they asked for number of vials, they'd say "vials_administered". They said units. So 30.
Could "units_administered" be 3? No, because billing units per vial: 100 mg / 10 mg = 10 units per vial. Three vials = 30 units. Yes.
Let's craft final response: exactly one fenced JSON block. Nothing else.
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
Wait, output contract says: "Reply with exactly one fenced JSON code block and nothing else. No preamble, no commentary before or after, no second code block." So final message should be just:
```json
{ "units_administered": 30, "units_wasted": 0 }
```
or pretty-printed. Either is fine. I'll pretty-print with two spaces? It's okay. Ensure no text outside. The fences must be triple backticks with json. Let's do:
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
Check key names: "units_administered" and "units_wasted". Yes.
Any need for null? No.
Let's final.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Qwen3.8 Flash · Alibaba2.5s · 166 out | 2.1s · 167 out | 7.5s · 193 out
Reasoning · 134 tokens
We need answer JSON only. Need compute HCPCS drug billing units. Reference: Billing units are administered dose divided by descriptor dosage. Partial unit billed as whole unit. Exact multiple billed as multiple and not rounded up. Descriptor J1745 infliximab 10 mg. Member receives exactly 300 mg from three 100 mg vials, no wastage. units_administered integer, units_wasted integer. Administered dose 300 /10 = 30 exact multiple -> 30. Wasted 0 mg -> 0 units. Need output fenced JSON only. Ensure no extra keys.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 135 tokens
We need answer JSON only. Need compute units_administered and units_wasted. Reference: HCPCS drug billing units: Billing units are administered dose divided by descriptor dosage. Partial unit billed as whole unit. Exact multiple billed as that multiple and not rounded up. Descriptor J1745 injection infliximab 10 mg. Member receives exactly 300 mg from three 100 mg single-dose vials, no wastage. Administered dose 300 mg / 10 mg = 30 exact units. Wastage 0 units. Need integer. Ensure no extra text. Final JSON fenced block.
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 161 tokens
We need answer with JSON only. Need parse task. HCPCS J1745 descriptor: injection, infliximab, 10 mg. Billing units: administered dose divided by descriptor dosage. Partial unit billed as whole unit. Exact multiple billed as that multiple and not rounded up. Member receives exactly 300 mg from three 100 mg vials, no wastage. units_administered integer. 300 / 10 = 30 exact multiple. units_wasted integer? Since no wastage, 0. Need maybe consider vials: 300 mg administered from 3 x 100, no waste. Units billed wasted? Descriptor 10 mg. no. Final only fenced json. Ensure no commentary.
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Kimi K2.6 · Moonshot9.6s · 586 out | 2.7s · 768 out | 4.8s · 1,089 out
Reasoning · 559 tokens
The user wants me to calculate billing units for HCPCS code J1745 (infliximab, 10 mg).
Given:
- HCPCS J1745: injection, infliximab, 10 mg. This means each billing unit represents 10 mg.
- Member receives exactly 300 mg of infliximab.
- From three 100 mg single-dose vials.
- No wastage.
Billing units calculation:
- Descriptor dosage: 10 mg per unit.
- Administered dose: 300 mg.
- Billing units = administered dose / descriptor dosage = 300 mg / 10 mg = 30 units.
- Since it's an exact multiple, it's billed as that multiple and is not rounded up. So 30 units.
Wait, but there are three 100 mg single-dose vials. Total = 300 mg. Administered = 300 mg. No wastage.
So units administered = 300 / 10 = 30.
Units wasted = 0 mg / 10 mg = 0. But wait, does "units_wasted" refer to billing units for wasted drug? The prompt mentions "no wastage". Since there is no wastage, wasted units = 0.
Let me double-check: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up. Descriptor: J1745 — injection, infliximab, 10 mg."
So:
- Administered dose: 300 mg.
- Descriptor: 10 mg.
- Units administered: 300 / 10 = 30. Exact multiple, so 30.
- Wasted dose: 0 mg (no wastage).
- Units wasted: 0 / 10 = 0.
The fact that it came from three 100 mg vials is relevant to confirm there is no wastage (3 x 100 = 300, administered exactly 300). So yes, 30 administered, 0 wasted.
Keys required: "units_administered" (integer) and "units_wasted" (integer).
So JSON should be:
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
Wait, is there any trick about single-dose vials and wastage? Sometimes if you use a 100 mg vial and only use part of it, the rest is wasted. But here they used three 100 mg vials to give exactly 300 mg, so no wastage. The administered amount is 300 mg. So billing units = 30. Wasted units = 0.
Yes, straightforward.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 719 tokens
The user wants me to calculate billing units for HCPCS code J1745 (infliximab, 10 mg).
From the reference material:
- Billing units = administered dose / descriptor dosage
- Descriptor for J1745: injection, infliximab, 10 mg
- So descriptor dosage is 10 mg per billing unit.
Member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
Administered dose = 300 mg
Billing units = 300 mg / 10 mg = 30 units
The question says "units_administered" and "units_wasted" (integers).
Wait, I need to be careful about what "units_administered" means here. In the context of HCPCS drug billing units:
- "units_administered" likely means the billing units for the administered amount.
- "units_wasted" likely means billing units for wasted amount.
But let me re-read carefully.
"A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage."
So:
- Total drug available: 3 vials × 100 mg = 300 mg
- Administered: 300 mg
- Wasted: 0 mg
Billing units for administered: 300 mg / 10 mg per unit = 30 units
Billing units for wasted: 0 mg / 10 mg per unit = 0 units
Since it says "exactly 300 mg" and "no wastage", both are straightforward integers.
Let me double-check if there's any trick about vial sizes. Sometimes with single-dose vials, if you use part of a vial, the rest is wasted. But here they used exactly three 100 mg vials to give 300 mg, so no wastage. Total administered is 300 mg.
Descriptor dosage: J1745 is per 10 mg.
So 300 mg / 10 mg = 30 billing units.
Units wasted: 0 mg wasted / 10 mg = 0 billing units.
The output should be exactly:
```json
{
"units_administered": 30,
"units_wasted": 0
}
```
Wait, is there any ambiguity about whether "units_administered" means mg or billing units? The context is "HCPCS DRUG BILLING UNITS" and the task family is "CODE SETS AND CLAIM EDITS". The keys are "units_administered" and "units_wasted". Since the reference material defines billing units as administered dose divided by descriptor dosage, and the values should be integers (billing units are whole numbers, with partial units billed as whole units), I believe these keys refer to billing units.
300 / 10 = 30 exactly, so integer is 30.
Wasted is 0 mg, so 0 billing units.
The instructions say: "Report codes exactly as they are written... Booleans are JSON true and false... Integers are JSON numbers with no units and no quotes."
So the JSON values should be numbers 30 and 0.
I should not add any extra text outside the JSON block.
Let me verify once more:
- Three 100 mg single-dose vials = 300 mg total.
- Exactly 300 mg administered.
- No wastage.
- J1745 descriptor: 10 mg per billing unit.
- Billing units administered: 300 / 10 = 30.
- Billing units wasted: 0 / 10 = 0.
Everything seems correct.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}The user wants me to calculate billing units for HCPCS code J1745 (infliximab, 10 mg).
Descriptor: J1745 — injection, infliximab, 10 mg.
The member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up.
Administered dose: 300 mg
Descriptor dosage: 10 mg per unit
Billing units = 300 / 10 = 30 units. This is an exact multiple, so billed as 30.
Wait, the question asks for:
- "units_administered" (integer)
- "units_wasted" (integer)
But in medical billing, especially for drugs:
- "units_administered" usually refers to the billing units for the administered amount.
- "units_wasted" usually refers to billing units for any wasted amount from single-dose vials.
The member receives exactly 300 mg from three 100 mg single-dose vials.
Total used from vials: 3 x 100 mg = 300 mg.
Administered: 300 mg.
Wastage: 0 mg.
Billing units for administered: 300 mg / 10 mg = 30 units.
Billing units for wasted: 0 mg / 10 mg = 0 units.
The required keys are "units_administered" and "units_wasted". Both are integers.
Let me double check the descriptor and rules.
J1745 descriptor: 10 mg.
Administered: 300 mg.
300 / 10 = 30. Exact multiple, so 30 units.
Wasted: 0 mg.
0 / 10 = 0 units.
So units_administered = 30, units_wasted = 0.
Is there any trick here? "from three 100 mg single-dose vials". Sometimes there are rules about wastage from single-dose vials where if you use multiple vials and there is leftover... but here it says "exactly 300 mg" and "no wastage". So no wastage to report.
The fields are integers. So 30 and 0.
Wait, could "units_administered" mean the number of vials? No, the context is HCPCS DRUG BILLING UNITS. The task says "Billing units are the administered dose divided by the descriptor dosage." This defines how to calculate the integer values requested.
So:
units_administered = floor or exact division of administered dose by descriptor dosage. Since it's exact, 30.
units_wasted = 0.
But I need to be careful. Is there any nuance about billing units vs mg? The question asks for "units_administered", not "mg_administered". So I should give the billing unit count.
The problem says: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up."
Administered dose = 300 mg. Descriptor = 10 mg. So 300/10 = 30. Exact multiple. Not rounded up. 30.
Wasted = 0 mg. So 0/10 = 0. Since no wastage, 0.
What if the question implies that because 3 vials of 100mg are used, and 300mg is administered, there is 0 wastage. But perhaps billing units for administered should be calculated based on vials used? No. It's based on administered dose divided by descriptor dosage. The vial information might be there to test if I incorrectly calculate wastage (e.g., 3 vials * 100 mg = 300 mg, no wastage). Since it explicitly says "no wastage", units_wasted is definitely 0.
Also, in some scenarios with single-dose vials, if a provider uses a portion of a vial and discards the rest, they can bill for administered + wasted units. But here there is no wastage. So only administered units are billed.
The output should be a JSON code block.
json{
"units_administered": 30,
"units_wasted": 0
}
Let me confirm: both are integers, no quotes. Yes.
Wait, is there any possibility that "units_administered" should include the total amount drawn from vials (300 mg) and there is no separate wasted amount? Yes, that's what I have.
Could there be a trick where 3 vials of 100 mg are used to get exactly 300 mg, meaning no drug was wasted? Yes. So wastage is 0.
Could the answer be 30 for administered and 0 for wasted? That seems straightforward.
What about the possibility of billing unit maximums or something? Not mentioned in the reference material. The reference material is limited to the calculation described.
I will go with 30 and 0.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100DeepSeek V4 Pro · DeepSeek4.0s · 201 out | 3.2s · 189 out | 3.9s · 208 out
Reasoning · 175 tokens
We are asked to determine the billing units for J1745, which is "injection, infliximab, 10 mg". The descriptor dosage is 10 mg. The administered dose is exactly 300 mg. According to the reference material: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up." So administered dose = 300 mg, descriptor dosage = 10 mg. 300/10 = 30. That's an exact multiple, so units administered = 30. No wastage is mentioned, and the reference material says nothing about wasting. The prompt says "with no wastage". So units_wasted should be 0.
Thus, outputs: units_administered: 30, units_wasted: 0.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 163 tokens
We are given: "A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage." The HCPCS drug is J1745 with descriptor: injection, infliximab, 10 mg. So the billing unit is per 10 mg. Administered dose is 300 mg. So units administered = 300 / 10 = 30 units. No wastage, so units wasted = 0. The instruction says: "A partial unit is billed as a whole unit." Here 300/10 is exactly 30, no partial unit. So units_administered: 30, units_wasted: 0. Output keys are integers.
Thus: {"units_administered": 30, "units_wasted": 0}json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 182 tokens
We are asked: A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage. So total administered dose is 300 mg. The HCPCS code J1745 descriptor says "injection, infliximab, 10 mg". So billing units are based on 10 mg per unit. Administered dose 300 mg gives 300 / 10 = 30 units. Was there any wastage? "with no wastage" so wasted units = 0. But note: the rule says "A partial unit is billed as a whole unit." Here 300/10 = 30 exactly, so no partial. So units_administered = 30, units_wasted = 0.
Required keys: "units_administered" (integer) and "units_wasted" (integer). So output JSON with those keys.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100GPT-5.6 Luna · OpenAI0.9s · 22 out | 1.2s · 47 out | 0.8s · 47 out
json{"units_administered":30,"units_wasted":0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{"units_administered":30,"units_wasted":0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{"units_administered":30,"units_wasted":0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100DeepSeek V4 Flash · DeepSeek3.8s · 147 out | 5.2s · 187 out | 3.2s · 137 out
Reasoning · 126 tokens
We need answer JSON. Need parse task. HCPCS J1745 injection infliximab 10 mg. Billing units = administered dose divided descriptor dosage. 300 mg / 10 = 30 units. Partial unit billed whole. Exact multiple billed as that multiple no round up. Wastage? Three 100 mg vials no wastage. Units wasted = 0? Need consider billing units wasted? Wastage means administered? "with no wastage." So wasted units integer 0. Required keys "units_administered" integer and "units_wasted" integer. Need output only JSON.json{"units_administered": 30, "units_wasted": 0}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 162 tokens
[]The task is to compute billing units for HCPCS code J1745 (infliximab, 10 mg per unit). The member received exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage.
For J1745, the descriptor is "injection, infliximab, 10 mg". So each billing unit is 10 mg. Administered dose = 300 mg. Billing units = 300 / 10 = 30 units. Since no wastage, wasted units = 0.
Required keys: "units_administered" (integer) and "units_wasted" (integer). Both are integers: 30 and 0.
Need to output exactly one fenced JSON code block with no preamble or commentary.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 100 tokens
We are given J1745: injection, infliximab, 10 mg. So each billing unit is 10 mg. The member receives exactly 300 mg. There is no wastage. So units administered = 300/10 = 30. Units wasted = 0. Since no wastage. The task says "A member receives exactly 300 mg of infliximab from three 100 mg single-dose vials, with no wastage." So 30 units administered, 0 wasted. The keys are integers. Output JSON.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100Claude Haiku 4.5 · Anthropic6.4s · 343 out | 3.5s · 320 out | 8.8s · 397 out
Reasoning · 309 tokens
Let me work through this step by step.
The task is about calculating billing units for HCPCS code J1745 - injection, infliximab, 10 mg.
Given information:
- Member receives exactly 300 mg of infliximab
- From three 100 mg single-dose vials
- No wastage
The billing unit rule states:
- Billing units are the administered dose divided by the descriptor dosage
- A partial unit is billed as a whole unit
- An exact multiple is billed as that multiple and is not rounded up
The descriptor for J1745 is: injection, infliximab, 10 mg
So the descriptor dosage = 10 mg per unit
Calculation:
- Administered dose = 300 mg
- Descriptor dosage = 10 mg per unit
- Units = 300 mg ÷ 10 mg = 30 units
Since this is an exact multiple (300 ÷ 10 = 30 exactly), we bill 30 units (not rounded up).
Now for wastage:
- The member receives exactly 300 mg with no wastage
- So units_wasted = 0
The required keys are:
- "units_administered": 30
- "units_wasted": 0
Both should be integers.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 287 tokens
The task is to calculate billing units for a HCPCS drug code J1745 - injection, infliximab, 10 mg.
Key information:
- Descriptor: J1745 — injection, infliximab, 10 mg
- Member receives exactly 300 mg of infliximab from three 100 mg single-dose vials
- No wastage
- Billing rule: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up."
Let me work through this:
1. The descriptor dosage is 10 mg per unit (for J1745)
2. The administered dose is 300 mg
3. Billing units = 300 mg ÷ 10 mg = 30 units
Since this is an exact multiple (30 × 10 = 300), it should be billed as 30 units exactly.
For units_wasted:
The member receives exactly 300 mg with no wastage, so units_wasted = 0.
So the answer should be:
- units_administered: 30
- units_wasted: 0json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}Reasoning · 363 tokens
The task is asking me to calculate billing units for the HCPCS code J1745 (injection, infliximab, 10 mg).
Given information:
- Descriptor for J1745: injection, infliximab, 10 mg
- Member receives exactly 300 mg of infliximab
- Three 100 mg single-dose vials with no wastage
The rule states: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit. An exact multiple is billed as that multiple and is not rounded up."
So:
- Administered dose: 300 mg
- Descriptor dosage: 10 mg
- Units = 300 mg / 10 mg = 30 units
Since this is an exact multiple (300 is exactly divisible by 10), we bill 30 units and do not round up.
For units_wasted:
- Total vial content: 3 × 100 mg = 300 mg
- Administered: 300 mg
- Wasted: 300 mg - 300 mg = 0 mg = 0 units
Wait, let me re-read the wastage part. It says "with no wastage". So there's no waste. The units_wasted should be 0.
Let me verify my calculation:
- units_administered = 300 mg / 10 mg per unit = 30 units
- units_wasted = 0 units (no wastage stated)
Both should be integers as specified.json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}100DeepSeek V3.2 · DeepSeek1.8s · 25 out | 1.2s · 25 out | 1.4s · 25 out
json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}json{
"units_administered": 30,
"units_wasted": 0
}
Grader detail
json{
"fields": [
{
"field": "units_administered",
"want": 30,
"got": 30,
"ok": true,
"present": true
},
{
"field": "units_wasted",
"want": 0,
"got": 0,
"ok": true,
"present": true
}
],
"fabricated": false,
"abstained": false
}