Parityhealth-plan operations benchmark
Code sets and claim edits · COD-015 · hard

J-code units from a dose

Authored for Parity against public code sets (ICD-10-CM, HCPCS Level II, CMS place of service, FDA NDC). Billing units are a division against the code descriptor, and rounding is up to the next whole unit.

Field mean
100.0
across 28 models
Models scoring 100
28
of 28
Models scoring 0
0
of 28

What the model was given

Item context, placed in the system position after the shared preamble
REFERENCE MATERIAL FOR THIS ITEM

HCPCS DRUG BILLING UNITS
A HCPCS Level II drug code carries a dosage in its descriptor. Billing units are
the administered dose divided by the descriptor dosage. A partial unit is billed
as a whole unit; wastage from a single-dose vial is reported separately and is
not included in the administered units.
Descriptor for this exercise: J1745 — injection, infliximab, 10 mg.
Prompt
A member weighing 78 kg receives infliximab 5 mg/kg. The pharmacy reconstitutes four 100 mg single-dose vials and 390 mg is administered; the remainder is discarded.
Required keys: "units_administered" (integer billing units for the administered drug) and "units_wasted" (integer billing units of discarded drug).
Gold answer and grader
json{
  "kind": "fields",
  "fields": {
    "units_administered": 39,
    "units_wasted": 1
  }
}

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 · Anthropic8.6s · 74 out | 3.3s · 74 out | 4.7s · 79 out
Attempt 1
Administered 390 mg / 10 mg = 39 units. Four vials = 400 mg; discarded 10 mg = 1 unit.

json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Administered 390 mg / 10 mg = 39 units. Four vials = 400 mg; discarded 10 mg = 1 unit.

json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Administered 390 mg / 10 mg = 39 units. Four 100 mg vials = 400 mg; discarded 10 mg = 1 unit.

json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Gemini 3.7 Flash · Google3.1s · 423 out | 3.8s · 399 out | 3.4s · 315 out
Attempt 1
Reasoning · 394 tokens
**Analyzing Dosage Units**

I'm currently focused on extracting and interpreting drug dosage units, specifically for infliximab. My aim is to accurately quantify both administered and wasted units based on HCPCS Level II descriptors.

json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 370 tokens
**Calculating Billing Units**

I am currently focused on determining the correct billing units for administered and wasted drug quantities. My current approach involves extracting relevant numerical data from provided references to accurately represent "units_administered" and "units_wasted".

json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 286 tokens
**Calculating Billing Units**

I'm currently processing the billing units for infliximab. Based on the member's weight and the prescribed dosage, we administered 390 mg. The pharmacy's reconstitution details are also being factored into the final unit calculation.

json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100GPT-5.5 · OpenAI2.5s · 93 out | 2.5s · 114 out | 2.2s · 92 out
Attempt 1
Reasoning · 62 tokens
**Calculating medication dose**

I need to ensure the output is in JSON format. First, I’m calculating the total dose by multiplying 5 by 78, which equals 390. Then I confirm that for J1745, I have units of 10 mg. Dividing 390 by 10 gives me 39 units administered. Also, if I waste four 100 mg doses, that amounts to 400 mg wasted, and I’ll discard one 10 mg unit. The partial whole doesn't really matter here.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 83 tokens
**Calculating dosage and wastage**

I need to calculate the dosage based on a weight of 78 kg. So, 5 mg/kg means I’ll give 390 mg in total. If I'm using J1745 with 10 mg units, that means 39 units were administered since 390 divided by 10 equals 39. Now, if I had four 100 mg vials reconstituted, that’s 400 mg, and if I administered 390 mg, then 10 mg will be discarded. I’ll need to handle the wastage separately in the billing.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 68 tokens
**Calculating dosage and waste**

I need to focus on getting this answer in JSON format. First, I calculate: 78*5, which gives 390 mg administered. Then for J1745, which has a unit of 10 mg, I find there are 39 units from 390/10. Now, for wasted doses, I have four 100 mg vials totaling 400 mg wasted, plus one discarded 10 mg unit. The partial unit is not relevant to my calculations.
json{"units_administered":39,"units_wasted":1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100GPT-5.6 Sol · OpenAI2.3s · 64 out | 1.7s · 59 out | 1.2s · 29 out
Attempt 1
Reasoning · 33 tokens
**Calculating dosage values**

I need to calculate a few values here: first, dividing 390 by 10 gives me 39. Then, for the waste, I have 10 mg divided by 10, which equals 1. Finally, multiplying four by 100 provides a total of 400. I think it’s important to represent this data accurately, possibly using JSON for the exact formatting. I’ll make sure to keep everything clear and organized to avoid confusion!
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Grok 4.6 · xAI11.3s · 474 out | 6.1s · 360 out | 7.6s · 478 out
Attempt 1
Reasoning · 453 tokens
The problem is about HCPCS drug billing units for infliximab.
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 339 tokens
The problem is about HCPCS drug billing units for infliximab.
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 457 tokens
The problem is about HCPCS drug billing units for infliximab.
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Grok 4.5 · xAI4.3s · 271 out | 3.9s · 265 out | 4.4s · 254 out
Attempt 1
Reasoning · 250 tokens
The problem is about HCPCS drug billing units for infliximab.
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 244 tokens
The problem is about HCPCS drug billing units for infliximab.
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 233 tokens
The problem is about HCPCS drug billing units for infliximab.
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Gemini 3.1 Pro · Google5.4s · 375 out | 6.4s · 501 out | 6.0s · 409 out
Attempt 1
Reasoning · 346 tokens
**My Thought Process for Calculating Infliximab Dosing and Billing Units**

Alright, let's break down this infliximab administration and billing. My primary goal here is to accurately determine the units administered and the units wasted, ensuring everything aligns with standard billing practices for J1745.

First, I'm given the patient's weight: 78 kg. The prescribed dose of infliximab is 5 mg per kilogram. So, the total administered dose is a straightforward calculation: 78 kg multiplied by 5 mg/kg, which comes out to 390 mg.

Now, regarding how this is prepared in the pharmacy. They're reconstituting four 100 mg single-dose vials. This means they have a total of 400 mg available. Since the patient only requires 390 mg, there will be some wastage. The difference between the prepared amount and the administered amount is 400 mg - 390 mg, leaving 10 mg as waste.

Moving on to the billing aspect, I need to consider the HCPCS code. For infliximab, that's J1745, and its descriptor is "injection, infliximab, 10 mg". This means each billed unit represents 10 mg of the drug.

To calculate the billed units for what was *administered*, I take the administered dose and divide it by the descriptor dosage: 390 mg divided by 10 mg per unit. This gives me 39 units. Happily, this is a whole number, so I don't need to worry about rounding up partial units in this instance.

Next, I need to calculate the units of *wastage*. This is done by taking the wasted amount and dividing it by the descriptor dosage: 10 mg wasted divided by 10 mg per unit. This results in 1 unit of wastage.

I'll do a quick double-check to confirm my calculations.
*   Patient weight: 78 kg.
*   Dose: 5 mg/kg.
*   Administered dose: 390 mg (78 * 5).
*   Vials prepared: 4 x 100 mg = 400 mg.
*   Wasted amount: 10 mg (400 - 390).

*   HCPCS code J1745 is per 10 mg.
*   Administered units: 390 mg / 10 mg = 39 units.
*   Wasted units: 10 mg / 10 mg = 1 unit.

Everything seems to align perfectly. The required keys for reporting are "units_administered" and "units_wasted", and both of these are indeed integers: 39 and 1, respectively. This completes my assessment.

json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 472 tokens
**My Thought Process on Infliximab Billing Units**

Alright, let's break down this infliximab scenario to determine the correct billing units for both the administered medication and any wastage. My primary goal is to accurately quantify these units based on the provided patient data and the specific billing guidelines.

First, I need to establish the total amount of drug that was actually given to the patient. The patient weighs 78 kg, and the prescribed dose is 5 mg/kg. So, the administered dose is a straightforward calculation: 78 kg multiplied by 5 mg/kg, which gives me 390 mg.

Next, I need to figure out how much drug was available and, subsequently, how much was wasted. The scenario indicates that four 100 mg vials were used, totaling 400 mg of medication. Since 390 mg was administered, the discarded or wasted amount is the difference: 400 mg minus 390 mg, resulting in 10 mg of waste.

Now, I turn to the reference material for the critical billing information. The descriptor for J1745 is "injection, infliximab, 10 mg." This means each billing unit corresponds to 10 mg of the drug. Importantly, the guidelines state that billing units are calculated by dividing the administered dose (or wasted amount) by this descriptor dosage, and crucially, any partial unit is billed as a whole unit. Also, wastage from a single-dose vial is reported separately, not contributing to the administered units.

So, for the administered dose, I take the 390 mg administered and divide it by the 10 mg descriptor dosage. That's 390 / 10, which equals exactly 39 units. Since this is a whole number, I don't need to worry about the partial unit rule here, but it's good to keep in mind for other calculations.

For the wasted drug, I have 10 mg of discard. Dividing this by the 10 mg descriptor dosage gives me 10 / 10, which is exactly 1 unit. Again, a whole number, so no rounding concerns for this portion.

My calculations yield:
*   `units_administered`: 39
*   `units_wasted`: 1

I'll do a quick re-check to ensure consistency. I used 4 x 100 mg vials (400 mg total). Administered was 390 mg, leaving 10 mg wasted. The calculation of 390 mg / 10 mg/unit = 39 units administered and 10 mg / 10 mg/unit = 1 unit wasted seems correct. The total units (administered plus wasted) would be 40, which aligns with the total medication drawn from the vials. Everything appears to be consistent and accurately reflects the scenario and billing rules.

json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 381 tokens
**My Thought Process for Calculating Billing Units for J1745**

Alright, so the core task here is to figure out how many billing units I need to report for the drug represented by HCPCS code J1745, specifically accounting for both what was administered to the patient and what was ultimately wasted.

The HCPCS descriptor for J1745 is key: "injection, infliximab, 10 mg." This tells me that each "unit" for billing purposes corresponds to 10 mg of infliximab.

Now, I have the patient's weight, which is 78 kg, and the prescribed dose is 5 mg per kilogram. My first calculation is to determine the total milligrams (mg) that were actually administered. That's a straightforward multiplication: 78 kg * 5 mg/kg = 390 mg. This is the amount that went into the patient.

The pharmacy prepared the medication by reconstituting four single-dose vials, each containing 100 mg. So, the total amount prepared was 4 * 100 mg = 400 mg.

Since 390 mg was administered and 400 mg was prepared, the difference, 400 mg - 390 mg, represents the wasted amount, which is 10 mg.

Now, to translate these milligrams into billing units, I need to use the descriptor dosage of 10 mg.

For the **administered units**, I take the total administered dose (390 mg) and divide it by the descriptor dosage (10 mg): 390 mg / 10 mg = 39 units.

For the **wasted units**, I take the wasted dose (10 mg) and divide it by the descriptor dosage (10 mg): 10 mg / 10 mg = 1 unit. The guideline explicitly states that wastage from a single-dose vial is reported separately and not included in the administered units, which aligns perfectly with this calculation.

I'm going to perform a quick sanity check based on the provided rule: "A HCPCS Level II drug code carries a dosage in its descriptor. Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units."

My calculations of 39 administered units (390 mg / 10 mg) and 1 wasted unit (10 mg / 10 mg) both result in whole numbers, so I don't need to worry about rounding up for partial units in this specific scenario. The wastage is correctly separated.

Finally, I need to output this in the requested JSON format:
```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```
Everything appears consistent and accurate according to the provided information and rules.

json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Claude Opus 5 · Anthropic1.7s · 76 out | 1.9s · 86 out | 1.6s · 70 out
Attempt 1
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Gemini 3 Flash · Google7.4s · 723 out | 6.8s · 592 out | 9.3s · 988 out
Attempt 1
Reasoning · 694 tokens
**My Thought Process for Infliximab (J1745) Billing Unit Calculation**

Alright, let's break down this infliximab scenario. My primary goal here is to accurately determine the billing units for both the administered dose and any wastage, adhering to standard HCPCS coding principles, especially for single-dose vials.

First, I've got the core details: the HCPCS code is J1745, which represents Infliximab at a descriptor dosage of 10 mg. The member's weight is 78 kg, and the prescribed dosage is 5 mg/kg.

My initial calculation for the administered dose is straightforward: 78 kg multiplied by 5 mg/kg equals 390 mg. This is the actual amount of infliximab that went into the patient.

Now, I need to consider how this translates into billing units for J1745. The rule states that billing units are derived by dividing the administered dose by the descriptor dosage. So, 390 mg divided by 10 mg per unit gives me exactly 39 units. I also need to keep in mind the rule about partial units being rounded up – thankfully, in this case, the division results in a whole number, so no rounding up is necessary for the administered units.

Next, I look at the pharmacy's actions. They reconstituted four 100 mg single-dose vials, totaling 400 mg. Since the administered dose was 390 mg, there was 10 mg of the drug left over – this is the wastage.

Crucially, I recall that wastage from a single-dose vial is reported separately. So, I need to calculate billing units for this 10 mg of wasted medication. Again, I divide the wasted amount by the descriptor dosage: 10 mg divided by 10 mg per unit equals 1 unit. This is also an exact calculation, so no rounding is needed here either.

To confirm my understanding, I'm mentally reviewing the governing rules: "HCPCS billing units are the administered dose divided by the descriptor dosage." "A partial unit is billed as a whole unit." And most importantly for this scenario, "wastage from a single-dose vial is reported separately and is not included in the administered units."

So, my calculated units are:
*   **Units Administered:** 39 (390 mg / 10 mg/unit)
*   **Units Wasted:** 1 (10 mg / 10 mg/unit)

Just to be absolutely sure, I'm doing a quick sanity check. If the administered dose had been, say, 385 mg, the administered units would have been 39 (38.5 rounded up). If the wasted dose had been 5 mg, the wasted units would have been 1 (0.5 rounded up). This reinforces my understanding of the rounding rule for partial units, though it doesn't apply to this specific scenario's exact divisions.

Finally, I check if the total units account for the total drug prepared. 39 administered units + 1 wasted unit = 40 units. Since each unit is 10 mg, this accounts for 400 mg of drug, which precisely matches the four 100 mg vials that were reconstituted. This confirms that my calculations align with the total volume of the drug handled.

Therefore, the final billing units are:
*   `units_administered`: 39
*   `units_wasted`: 1

json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 564 tokens
**My Thought Process on Billing for Infliximab (J1745)**

Okay, let's break down this Infliximab (J1745) scenario. My primary objective is to correctly determine the billing units for both the administered drug and any waste, adhering to the code's descriptor and specific payer guidelines.

First, I've identified the HCPCS code: J1745, which describes Infliximab at 10 mg per billing unit. This is the fundamental conversion factor I'll be working with.

Next, I'm looking at the patient's specifics. The member weighs 78 kg, and the prescribed dose is 5 mg/kg. This immediately tells me the target administered dose: 78 kg * 5 mg/kg = 390 mg.

Now, let's consider the drug procurement and administration. We used 100 mg single-dose vials, and a total of 4 vials were accessed, giving us a total of 400 mg of drug available. The patient actually received 390 mg of this drug.

This means there's a discrepancy between the total drug in the vials and what was administered. The wasted amount is calculated as Total Drug - Administered Amount: 400 mg - 390 mg = 10 mg.

My next crucial step is to translate these milligrams into the billing units specified by J1745. Since J1745 represents 10 mg per unit, I need to perform these calculations:

*   **Administered Units:** The administered dose is 390 mg. Dividing this by the descriptor dosage (10 mg/unit) gives me 390 mg / 10 mg = 39 units. Fortunately, this results in a whole number, so there's no issue with partial units here.
*   **Wasted Units:** The wasted amount is 10 mg. Dividing this by the descriptor dosage (10 mg/unit) gives me 10 mg / 10 mg = 1 unit. Again, this is a whole number.

Crucially, I recall the payer guideline: "wastage from a single-dose vial is reported separately and is not included in the administered units." This reinforces my approach. I will report the administered units and the wasted units as distinct figures.

Therefore, based on the administered dose of 390 mg and the waste of 10 mg, and considering J1745's 10 mg descriptor, my final determination is:

*   **Administered Units:** 39
*   **Wasted Units:** 1

json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 959 tokens
**My Thought Process for Billing Infliximab (J1745)**

Alright, let's break down the billing for this infliximab (HCPCS code J1745) administration. My primary goal is to accurately determine the billable units for both the administered drug and the wasted portion, keeping the specific billing rules for single-dose vials and partial units in mind.

First, I need to establish the actual administered dose. The patient weighs 78 kg, and the prescribed dosage is 5 mg/kg. A quick calculation confirms this: 78 kg * 5 mg/kg = 390 mg. The prompt explicitly states that 390 mg was administered, so this calculation serves as a confirmation rather than the sole determinant for the administered dose in this instance.

Next, I look at the HCPCS code descriptor for J1745. It states "injection, infliximab, 10 mg." This means each billing unit corresponds to 10 mg of the drug. To find the number of administered units, I divide the administered dose by the descriptor's dosage: 390 mg / 10 mg = 39 units. Since this is a whole number, there's no partial unit to round up here.

Now, I need to account for wastage. The patient received 390 mg, and the drug was supplied in 100 mg single-dose vials. To achieve the 390 mg dose, four vials were used (4 x 100 mg = 400 mg total drug dispensed). The wastage is the difference between the total drug available and the administered dose: 400 mg - 390 mg = 10 mg.

Following the rule that wastage from a single-dose vial is reported separately, I need to determine the billable units for this 10 mg of wasted drug. Again, using the descriptor's 10 mg per unit, I divide the wasted amount by the descriptor dosage: 10 mg / 10 mg = 1 unit. This is also a whole number, so no rounding is necessary.

I'm double-checking the specific billing rule: "A HCPCS Level II drug code carries a dosage in its descriptor. Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." This rule clearly separates administered and wasted units, and confirms how partial units are handled. In my case, both 390 mg and 10 mg divide perfectly by the 10 mg descriptor, so the partial unit rule, while noted, doesn't alter the calculation here. If, for instance, 390.1 mg had been administered, that would have immediately become 40 units. Similarly, 9.9 mg wasted would still be 1 unit.

So, my final determination for the required keys is:
*   `units_administered`: 39
*   `units_wasted`: 1

These values accurately reflect the administered dose and the wastage, adhering to the stated billing rules for HCPCS J1745 and single-dose vials.

json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Kimi K3 · Moonshot15.6s · 249 out | 9.5s · 214 out | 6.2s · 183 out
Attempt 1
Reasoning · 112 tokens
Let me work through this.

Member weighs 78 kg, infliximab 5 mg/kg = 390 mg dose. Administered 390 mg. Four 100 mg vials = 400 mg total, so 10 mg wasted.

J1745 descriptor: 10 mg per billing unit.

Units administered: 390 / 10 = 39 units.
Wastage: 400 - 390 = 10 mg = 1 unit.

units_administered = 39, units_wasted = 1.
json{
  "units_administered": 39,
  "units_wasted": 1
}


**Calculation:**
- Dose: 78 kg × 5 mg/kg = 390 mg administered
- Administered units: 390 mg ÷ 10 mg (J1745 descriptor) = 39 units
- Drug prepared: 4 × 100 mg vials = 400 mg
- Wasted: 400 mg − 390 mg = 10 mg → 10 mg ÷ 10 mg = 1 unit (reported separately, not included in administered units)
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 179 tokens
Let me work through this problem.

Member weighs 78 kg, receives infliximab 5 mg/kg = 390 mg administered. Pharmacy reconstitutes four 100 mg single-dose vials = 400 mg total. 390 mg administered, 10 mg discarded.

J1745 descriptor: injection, infliximab, 10 mg. So billing units = dose / 10 mg.

Administered: 390 mg / 10 mg = 39 units.

Wasted: 10 mg / 10 mg = 1 unit.

"A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units."

So units_administered = 39, units_wasted = 1.

Output format: exactly one fenced JSON code block with the two required keys.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 143 tokens
The task: HCPCS drug billing units. J1745 — injection, infliximab, 10 mg. Administered dose 390 mg. Billing units = administered dose / descriptor dosage = 390 / 10 = 39 units. Wastage: four 100 mg vials = 400 mg reconstituted; 390 administered; 10 mg discarded. Wastage units = 10/10 = 1 unit.

Check: "A partial unit is billed as a whole unit" — 390/10 = 39 exactly. Wasted 10 mg = 1 unit.

Answer: units_administered: 39, units_wasted: 1.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Gemini 2.5 Pro · Google8.4s · 705 out | 9.4s · 823 out | 8.5s · 670 out
Attempt 1
Reasoning · 676 tokens
Alright, let's break down this Infliximab billing scenario. I need to determine the billing units for both what was actually administered to the patient and any drug that was wasted.

First things first, I need to get a firm grasp on the billing unit for this specific drug. The HCPCS code is J1745, and its descriptor clearly states "injection, infliximab, 10 mg." This is my anchor point: **one billing unit of J1745 directly equates to 10 mg of Infliximab.**

Next, I'll focus on the administered dose. I know the patient's weight is 78 kg, and the prescribed dosage is 5 mg per kilogram. So, the total administered dose is a straightforward calculation: 78 kg * 5 mg/kg = 390 mg. The prompt also explicitly confirms this 390 mg administration, which is good.

Now, I can translate that administered dose into billing units. With 390 mg administered and each unit being 10 mg, the calculation is `units_administered` = 390 mg / 10 mg/unit. This gives me 39 units. The rule about partial units being billed as whole units doesn't apply here since 390 is perfectly divisible by 10, so `units_administered` is exactly 39.

Moving on to the wastage. The scenario indicates that four 100 mg single-dose vials of Infliximab were used. That means the total drug I had available was 4 vials * 100 mg/vial = 400 mg. Since 390 mg was administered, the wasted amount is the difference: 400 mg - 390 mg = 10 mg.

Calculating the billing units for this wasted amount follows the same logic. I have 10 mg of waste, and each unit is 10 mg, so `units_wasted` = 10 mg / 10 mg/unit. This results in 1 unit for the wasted portion. Crucially, the instruction to report wastage separately from administered units confirms my approach here.

Finally, a quick reconciliation. I have 39 units for administration (390 mg) and 1 unit for wastage (10 mg). That totals 40 units. If I convert that back to milligrams, 40 units * 10 mg/unit = 400 mg, which perfectly matches the total amount of drug I drew from the vials. Everything aligns.

Based on this, the final JSON output should reflect 39 units administered and 1 unit wasted.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 794 tokens
Alright, let's break down this infliximab billing scenario. My primary objective here is to accurately calculate both the billed units for the portion of the drug that was actually administered to the patient, and the units representing the drug that was prepared but ultimately wasted. This requires a meticulous approach to each component of the drug's administration and preparation.

First, I need to establish the fundamental billing unit for infliximab. The provided HCPCS code, J1745, has a descriptor of "injection, infliximab, 10 mg." This is my anchor point: one billing unit directly corresponds to 10 mg of infliximab.

Next, I'll focus on the administered dose. The patient's weight is 78 kg, and the prescribed dose is 5 mg per kilogram. Multiplying these, I get 78 kg * 5 mg/kg = 390 mg. The prompt also explicitly confirms that 390 mg was administered, which is a crucial validation of my calculation.

Now, I can translate that administered dose into billing units. With 390 mg administered and a billing unit defined as 10 mg, the calculation is straightforward: 390 mg / 10 mg/unit. This yields precisely 39 units. The rule about partial units being billed as whole units doesn't come into play here since it's an exact integer. So, the `units_administered` is 39.

Moving on to the prepared drug, I'm told that four 100 mg single-dose vials were reconstituted. This means the total amount of drug prepared was 4 vials * 100 mg/vial, which equals 400 mg.

The wasted drug is the difference between what was prepared and what was administered. So, 400 mg prepared minus 390 mg administered gives me 10 mg of wasted drug.

Now, I need to convert that wasted amount into billing units. With 10 mg wasted and the billing unit still at 10 mg, the calculation is 10 mg / 10 mg/unit. This also results in an exact integer: 1 unit. Therefore, `units_wasted` is 1.

Finally, I'll do a quick sanity check to ensure everything aligns. The administered units are 39 (for 390 mg), and the wasted units are 1 (for 10 mg). Adding these together gives me 40 units. Looking at the total drug prepared, 400 mg, and dividing by the 10 mg/unit descriptor also yields 40 units. This confirms that my administered and wasted units correctly account for all the drug from the reconstituted vials. The key rules, such as reporting wastage separately and not including it in administered units, and handling partial units, have been applied correctly.

Based on these calculations, the required JSON output should reflect:

```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 641 tokens
My thought process for this scenario is to meticulously break down the calculation of billing units for Infliximab administration, considering both the administered dose and any resulting wastage.

First, I need to establish the fundamental billing unit. The drug is Infliximab, identified by HCPCS code J1745. The descriptor for this code is "injection, infliximab, 10 mg." This is crucial because it directly tells me that each billing unit corresponds to exactly 10 milligrams (mg) of Infliximab.

Next, I focus on the actual dose given to the patient. The patient weighs 78 kilograms (kg), and the prescribed dose is 5 mg per kg. Therefore, I multiply these two figures: 78 kg * 5 mg/kg, which results in an administered dose of 390 mg. The prompt confirms this amount, so I'm on solid ground.

Now, I can translate that administered dose into billing units. I have 390 mg administered, and each billing unit represents 10 mg. So, I perform the division: 390 mg divided by 10 mg per unit. This gives me 39 billing units for the administered portion. The rule states that a partial unit is billed as a whole unit, but in this case, 39 is already a whole number, so no rounding is necessary.

Simultaneously, I need to account for any drug that was prepared but not administered – in other words, wastage. The pharmacy prepared four single-dose vials, each containing 100 mg of the drug. This means the total amount of drug prepared was 4 vials * 100 mg/vial, totaling 400 mg.

To determine the wasted amount, I subtract the administered dose from the total prepared amount: 400 mg prepared - 390 mg administered = 10 mg of wasted drug.

Now I must calculate the billing units for this wasted drug. I have 10 mg of waste, and again, each billing unit is 10 mg. So, 10 mg divided by 10 mg per unit equals 1 billing unit for the wastage. The guidelines specify that wastage from a single-dose vial is reported separately, and the partial unit rule still applies. Here, 1 is a whole unit, so no rounding is needed.

Finally, I conduct a quick final check. I have 39 units for the administered dose and 1 unit for the wastage. Both are whole numbers, which aligns with the requirements.

With all calculations complete and verified, I can now construct the JSON output, clearly listing `units_administered` as 39 and `units_wasted` as 1.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100GLM-5.2 · Z.ai2.1s · 153 out | 3.9s · 327 out | 4.6s · 429 out
Attempt 1
Reasoning · 125 tokens
Let me work through this carefully.

Member weight: 78 kg
Dose ordered: 5 mg/kg = 5 × 78 = 390 mg

Administered: 390 mg
J1745 descriptor: 10 mg per billing unit

Units administered = 390 / 10 = 39 units

Wastage: Four 100 mg vials = 400 mg total reconstituted. Administered 390 mg. Discarded = 10 mg.
Units wasted = 10 / 10 = 1 unit

Both divide evenly, so no rounding needed.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 295 tokens
Let me work through this step by step.

The member weighs 78 kg and receives infliximab at 5 mg/kg.
Total dose = 78 kg × 5 mg/kg = 390 mg

The problem states that 390 mg is administered and the remainder is discarded.

The pharmacy reconstitutes four 100 mg single-dose vials = 400 mg total available.

390 mg administered, 10 mg discarded (wasted).

Now for billing units:
HCPCS code J1745 — injection, infliximab, 10 mg

The descriptor dosage is 10 mg per unit.

Units administered = administered dose / descriptor dosage = 390 mg / 10 mg = 39 units

Units wasted = wasted dose / descriptor dosage = 10 mg / 10 mg = 1 unit

Both are whole numbers, so no rounding needed.

Let me double-check the rules:
- "Billing units are the administered dose divided by the descriptor dosage."
- "A partial unit is billed as a whole unit" — not applicable here since both are whole.
- "wastage from a single-dose vial is reported separately and is not included in the administered units" — so the wasted amount is reported separately as units_wasted, not included in units_administered.

units_administered = 390 / 10 = 39
units_wasted = 10 / 10 = 1

Both check out.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 402 tokens
The member weighs 78 kg and receives infliximab 5 mg/kg.
Total dose = 78 kg × 5 mg/kg = 390 mg.
The problem states 390 mg is administered.

HCPCS code J1745 descriptor: injection, infliximab, 10 mg.
So 10 mg = 1 billing unit.
Administered: 390 mg / 10 mg = 39 units. But the rule says "A partial unit is billed as a whole unit". 390/10 = 39 exactly. So 39 units.
Wait, the rule says: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units."

Four 100 mg vials were reconstituted. Total mg available = 400 mg.
Administered = 390 mg.
Wasted = 400 mg - 390 mg = 10 mg.
Units wasted = 10 mg / 10 mg = 1 unit.

Wait, let's double check.
Administered units: 390 mg / 10 mg/unit = 39 units.
Wasted units: 10 mg / 10 mg/unit = 1 unit.
Both are exact integers.

Let's re-read: "A partial unit is billed as a whole unit". This applies if there is a remainder. In this case, 390/10 is 39 exactly. 10/10 is 1 exactly.

So units_administered = 39
units_wasted = 1

Double check: 78 * 5 = 390. Yes.
Four 100 mg vials = 400 mg.
Wasted = 10 mg.
10 mg / 10 mg = 1 unit.
Administered = 390 mg / 10 mg = 39 units.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Claude Opus 4.8 · Anthropic1.1s · 29 out | 1.8s · 97 out | 1.2s · 29 out
Attempt 1
json{ "units_administered": 39, "units_wasted": 1 }
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Administered: 390 mg / 10 = 39 units.
Vials: 4 × 100 = 400 mg. Wasted: 400 - 390 = 10 mg / 10 = 1 unit.

json{ "units_administered": 39, "units_wasted": 1 }
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
json{ "units_administered": 39, "units_wasted": 1 }
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Claude Sonnet 5 · Anthropic2.4s · 116 out | 2.6s · 101 out | 1.9s · 103 out
Attempt 1
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
json{ "units_administered": 39, "units_wasted": 1 }
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Claude Sonnet 4.6 · Anthropic1.3s · 25 out | 1.3s · 25 out | 1.4s · 25 out
Attempt 1
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Qwen3.7 Max · Alibaba10.6s · 630 out | 5.5s · 395 out | 8.8s · 719 out
Attempt 1
Reasoning · 598 tokens
The member weighs 78 kg and receives infliximab 5 mg/kg.
Total dose ordered = 78 kg * 5 mg/kg = 390 mg.
The pharmacy reconstitutes four 100 mg single-dose vials = 400 mg total.
Administered = 390 mg.
Discarded (wasted) = 400 mg - 390 mg = 10 mg.

HCPCS code J1745 descriptor: injection, infliximab, 10 mg.
Billing units = administered dose / descriptor dosage.
Administered units = 390 mg / 10 mg = 39 units.
Wasted units = 10 mg / 10 mg = 1 unit.

Wait, the prompt says: "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units."
Administered dose = 390 mg. 390 / 10 = 39.
Wasted dose = 10 mg. 10 / 10 = 1.

Let's double check.
Weight = 78 kg
Dose = 5 mg/kg
Total dose = 390 mg
Vials = 4 * 100 mg = 400 mg
Administered = 390 mg
Wasted = 10 mg

J1745 = 10 mg per unit.
units_administered = 390 / 10 = 39
units_wasted = 10 / 10 = 1

Are there any partial units? No, 390 and 10 are both exact multiples of 10.
So units_administered = 39
units_wasted = 1

Let me review the required keys:
"units_administered" (integer billing units for the administered drug)
"units_wasted" (integer billing units of discarded drug)

Values:
units_administered: 39
units_wasted: 1

Check the math again:
78 * 5 = 390.
4 vials * 100 mg = 400 mg.
400 - 390 = 10 mg wasted.
390 / 10 = 39 units.
10 / 10 = 1 unit.

Everything is correct.
Output JSON format:
```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```
No other text.
Done.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 363 tokens
Let me work through this step by step.

1. Calculate the dose ordered:
   - Member weight: 78 kg
   - Dose: 5 mg/kg
   - Total dose ordered: 78 × 5 = 390 mg

2. Determine the HCPCS code and descriptor:
   - J1745 — injection, infliximab, 10 mg
   - So each billing unit = 10 mg

3. Vials reconstituted:
   - Four 100 mg single-dose vials = 400 mg total available

4. Administered:
   - 390 mg administered
   - Billing units for administered drug = 390 mg ÷ 10 mg/unit = 39 units
   - This is exact, so 39 units.

5. Wasted:
   - Total available: 400 mg
   - Administered: 390 mg
   - Discarded: 400 - 390 = 10 mg
   - Billing units for wasted drug = 10 mg ÷ 10 mg/unit = 1 unit

6. Check the rules:
   - "A partial unit is billed as a whole unit" — 390/10 = 39 exactly, no partial unit. 10/10 = 1 exactly.
   - "wastage from a single-dose vial is reported separately and is not included in the administered units" — correct, we separated them.

So:
- units_administered: 39
- units_wasted: 1
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 687 tokens
The member weighs 78 kg and receives infliximab 5 mg/kg.
Total dose ordered = 78 kg * 5 mg/kg = 390 mg.
The pharmacy reconstitutes four 100 mg single-dose vials = 400 mg total.
Administered = 390 mg.
Discarded (wasted) = 400 mg - 390 mg = 10 mg.

HCPCS code J1745 descriptor: injection, infliximab, 10 mg.
Billing units = administered dose / descriptor dosage.
Administered dose = 390 mg.
Descriptor dosage = 10 mg.
Units administered = 390 / 10 = 39.

Wastage from a single-dose vial is reported separately.
Wasted dose = 10 mg.
Units wasted = 10 / 10 = 1.

Let's double check.
Weight = 78 kg
Dose = 5 mg/kg -> 390 mg
Vials = 4 x 100 mg = 400 mg
Administered = 390 mg
Wasted = 10 mg

J1745 is 10 mg per unit.
Administered units = 390 / 10 = 39
Wasted units = 10 / 10 = 1

Are there any partial units? 390 / 10 = 39 exactly. 10 / 10 = 1 exactly.
So units_administered = 39
units_wasted = 1

Required keys: "units_administered" (integer), "units_wasted" (integer).
Output JSON format.
```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```
Wait, let me reread the prompt carefully.
"A member weighing 78 kg receives infliximab 5 mg/kg. The pharmacy reconstitutes four 100 mg single-dose vials and 390 mg is administered; the remainder is discarded."
"Descriptor for this exercise: J1745 — injection, infliximab, 10 mg."
"HCPCS DRUG BILLING UNITS
A HCPCS Level II drug code carries a dosage in its descriptor. Billing units are
the administered dose divided by the descriptor dosage. A partial unit is billed
as a whole unit; wastage from a single-dose vial is reported separately and is
not included in the administered units."

Calculations:
Administered = 390 mg. 390 / 10 = 39 units.
Wasted = 400 - 390 = 10 mg. 10 / 10 = 1 unit.

Everything is straightforward.
No rounding needed since they are exact integers.
Result:
units_administered: 39
units_wasted: 1
I will output the JSON block.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100GLM-5.3 · Z.ai1.7s · 228 out | 2.1s · 185 out | 8.3s · 352 out
Attempt 1
Reasoning · 164 tokens
Let me work through this.

Infliximab 5 mg/kg for 78 kg = 390 mg administered. That checks out.

Descriptor: J1745 — injection, infliximab, 10 mg. So 1 billing unit = 10 mg.

Administered: 390 mg / 10 mg = 39 units. Whole number, so 39 units.

Wasted: vials reconstituted: four 100 mg vials = 400 mg total. Administered 390 mg, discarded 10 mg. Wastage = 10 mg = 1 unit.

Wait — "A partial unit is billed as a whole unit." The wastage is 10 mg which is exactly 1 unit. So units_wasted = 1.

Total units billed would be 39 + 1 = 40, but the question asks separately for administered and wasted.

units_administered: 39
units_wasted: 1
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 134 tokens
Let me work through this.

Member weight 78 kg, dose 5 mg/kg = 390 mg administered. Four 100 mg vials reconstituted = 400 mg total. Administered 390 mg, discarded 10 mg.

J1745 descriptor: 10 mg per unit.

Administered units: 390 / 10 = 39 units exactly. Whole unit, 39.

Wasted: 10 mg / 10 mg = 1 unit. The rules say partial unit is billed as whole unit; wastage from a single-dose vial is reported separately and not included in administered units. Wastage 10 mg / 10 = 1 unit.

So units_administered = 39, units_wasted = 1.
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 325 tokens
Let me work through this.

Infliximab dose: 5 mg/kg × 78 kg = 390 mg. Consistent with administered amount of 390 mg.

HCPCS J1745 descriptor: injection, infliximab, 10 mg. So billing units = mg / 10.

Administered: 390 mg / 10 mg per unit = 39 units.

Wasted: 4 vials × 100 mg = 400 mg reconstituted. Administered 390 mg. Discarded = 10 mg. Waste units = 10 mg / 10 = 1 unit.

Rule: "A partial unit is billed as a whole unit". So any fractional rounds up to whole units. Here both are whole numbers: 39 and 1.

Wait — "A partial unit is billed as a whole unit" — does that mean round up (ceiling) or round to nearest whole? Typically "billed as a whole unit" means a partial unit is billed as one whole unit, i.e., round up. Here 390/10 = 39 exactly, and 10/10 = 1 exactly, so no rounding issue.

So units_administered = 39, units_wasted = 1.

Check: administered 390 mg → 39 units. Wasted 10 mg → 1 unit. Total 40 units = 400 mg, consistent with 4 vials.

Answer JSON:
{
  "units_administered": 39,
  "units_wasted": 1
}
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Qwen3.8 Max · Alibaba6.6s · 262 out | 5.1s · 237 out | 4.8s · 201 out
Attempt 1
Reasoning · 230 tokens
We need answer user's task. Need produce final only fenced JSON. Need solve.

We have HCPCS J1745 descriptor injection, infliximab, 10 mg. Billing units = administered dose divided by descriptor dosage. Partial unit billed as whole unit; wastage from single-dose vial reported separately and not included in administered units.

Member weight 78 kg receives infliximab 5 mg/kg = 390 mg administered. Pharmacy reconstitutes four 100 mg single-dose vials = 400 mg total. 390 administered, 10 discarded.

Need units_administered integer billing units for administered drug. Administered 390 mg / 10 mg per unit = 39 units exactly. units_wasted integer billing units discarded drug. Wasted 10 mg / 10 = 1 unit. Check partial unit billed as whole unit. No partial here. But if wastage from single-dose vial reported separately. So 1 wasted unit. Need JSON only. Ensure integers.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 205 tokens
We need answer JSON only. Need compute units_administered and units_wasted. Reference: J1745 descriptor injection, infliximab, 10 mg. Billing units = administered dose divided by descriptor dosage. Partial unit billed as whole unit; wastage from single-dose vial reported separately and not included in administered units.

Member weight 78 kg, dose 5 mg/kg = 390 mg administered. Matches administered 390 mg. Four 100 mg vials = 400 mg total reconstituted, 390 administered, 10 mg discarded.

Units administered: 390 mg / 10 mg = 39. Exactly 39 integer. Units wasted: 10 mg /10 mg =1. If partial unit billed whole, but exact. Need integer billing units. So 39 and 1.

Need final fenced JSON block only. Ensure no extra.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 169 tokens
We need answer JSON only. Need solve. Member 78 kg receives infliximab 5 mg/kg = 390 mg administered. Pharmacy reconstitutes four 100 mg single-dose vials = 400 mg total. 390 administered, 10 discarded. HCPCS J1745 descriptor 10 mg. Billing units = administered dose / descriptor dosage = 390/10 = 39. Partial unit billed whole? administered exact 39. Wastage from single-dose vial reported separately and not included administered units. Wasted amount 10 mg / 10 mg = 1 unit. Need integer billing units. keys units_administered 39, units_wasted 1. Ensure JSON fenced.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100GPT-5.6 Terra · OpenAI1.3s · 49 out | 2.2s · 58 out | 2.1s · 61 out
Attempt 1
json{"units_administered":39,"units_wasted":1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 34 tokens
**Calculating doses and units**

I realize we need to work with JSON for this task. The dose is 390 exactly, so I’m thinking about how that translates. The units are in J1745, and that's 39 per 10. If I have four vials, that leaves us with 400 remaining, and when I subtract 10, it equals 1 unit. Just confirming that I’m approaching this correctly and have made the necessary calculations!
json{"units_administered":39,"units_wasted":1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 37 tokens
**Calculating dosage**

I see I need to output the dosage calculation. Dividing 390 mg by 10 gives me 39. Since I'm working with four vials of 400 mg, there's a remainder of 10 mg, which equals 1. However, I intended to calculate 390 in total. I think I need to format this into a JSON structure for clarity. Alright, I’ll get this organized properly!
json{"units_administered":39,"units_wasted":1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100GLM-5.3 Flash · Z.ai6.2s · 304 out | 5.2s · 169 out | 19.7s · 475 out
Attempt 1
Reasoning · 277 tokens
We need to calculate HCPCS J1745 units for infliximab.

Member weight: 78 kg, dose 5 mg/kg = 390 mg administered.

Descriptor: J1745 = 10 mg per unit.

Units administered = 390 mg / 10 mg = 39 units.

Wastage: four 100 mg vials reconstituted = 400 mg total. 390 mg administered, 10 mg discarded.

Now, the rules: "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units."

Wasted = 10 mg discarded. Units wasted = 10 / 10 = 1 unit.

Wait — the rule says wastage from a single-dose vial is reported separately. The discarded 10 mg would be billed as wastage. Typically wastage is billed with modifier JW, but the units here: 10 mg discarded / 10 mg per unit = 1 unit.

So units_administered = 39, units_wasted = 1.

Check: partial unit billed as whole unit — 390/10 = 39 exactly, no partial. Wasted 10/10 = 1 exactly.

Answer: units_administered: 39, units_wasted: 1.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 142 tokens
Infliximab J1745: 10 mg per unit. Dose: 78 kg × 5 mg/kg = 390 mg administered.

Units administered: 390 / 10 = 39 units.

Wastage: four 100 mg vials reconstituted = 400 mg total. 390 mg administered, 10 mg discarded. Wastage from single-dose vial reported separately and not included in administered units. Units wasted: 10 mg / 10 mg = 1 unit. Partial unit billed as whole unit — 10/10 = 1 exactly.

So units_administered = 39, units_wasted = 1.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 448 tokens
Let me work through this problem carefully.

Member weight: 78 kg. Dose: 5 mg/kg → 78 × 5 = 390 mg dose.

Administered: 390 mg. J1745 descriptor: 10 mg per unit.

Units administered = 390 / 10 = 39 units.

Vials: four 100 mg single-dose vials = 400 mg reconstituted. 390 mg administered, 10 mg discarded (wastage).

Wastage from a single-dose vial is reported separately and is not included in the administered units.

Units wasted = 10 mg / 10 mg per unit = 1 unit.

Wait — but the ground rule says "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units."

So administered: 390 mg / 10 mg = 39 units exactly. No rounding needed.

Wasted: 10 mg / 10 mg = 1 unit.

Hmm, but actually — there's a real-world nuance here. In actual HCPCS billing (per CMS manual guidance), wastage from single-dose vials is billed in units of the same code, and administered + wasted typically... Actually in real CMS guidance, the amount administered is billed on one claim line and wastage on a separate line with modifier JW. The question here explicitly says wastage is reported separately and is not included in the administered units. So:

- units_administered = 390/10 = 39
- units_wasted = 10/10 = 1

The dose calculation: 78 kg × 5 mg/kg = 390 mg. Administered 390 mg — matches the calculated dose exactly. Reconstituted 400 mg (4 × 100 mg vials). Discarded = 400 − 390 = 10 mg.

So the answer: units_administered = 39, units_wasted = 1.

Output: exactly one fenced JSON code block with keys "units_administered" and "units_wasted" as integers.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Hunyuan 4 · Tencent65.4s · 3,683 out | 41.9s · 2,291 out | 52.5s · 2,812 out
Attempt 1
Reasoning · 3,657 tokens
We need answer a task. Need output exactly one fenced JSON code block. Required keys: "units_administered" (integer billing units for the administered drug) and "units_wasted" (integer billing units of discarded drug). Need compute HCPCS J1745 injection, infliximab, 10 mg. Billing units are administered dose divided by descriptor dosage (10 mg). Partial unit billed as whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units. Descriptor dosage 10 mg. Administered dose = 390 mg. Units administered = 390 / 10 = 39 exactly. Is it a partial? No, exactly 39, so integer 39. Wait maybe weight 78 kg at 5 mg/kg = 390 mg indeed. The pharmacy reconstitutes four 100 mg single-dose vials = 400 mg total. Administered 390 mg; remainder discarded = 10 mg. Wastage from single-dose vials: discarded drug = 10 mg. Billing units of discarded drug = 10 mg / 10 mg = 1 unit. Need verify: "Wastage from a single-dose vial is reported separately and is not included in the administered units." So units_wasted = integer billing units of discarded drug. Since discarded remainder is 10 mg, divided by 10 mg = 1. But careful: They used four 100 mg single-dose vials. Each vial is single-dose. The administered dose is 390 mg. How many vials used? Since each vial is 100 mg single-dose, to get 390 mg, they'd need 4 vials, with 10 mg discarded. But wait "reconstitutes four 100 mg single-dose vials and 390 mg is administered; the remainder is discarded." They reconstituted four vials, total 400 mg, administered 390, remainder 10 mg discarded. So wastage = 10 mg. Billing units for discarded drug: descriptor dosage 10 mg, partial unit billed as whole unit. 10mg/10mg = 1 unit. If remainder were less than 10 mg, partial unit would bill as 1 unit (since partial unit billed as whole unit). But here exactly 1.

Need think if there's any nuance about billing units for administered drug: dose divided by descriptor dosage, round up? It says "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." So if administered dose / dosage is not integer, round up to next whole unit. Here 390/10=39 exactly, no partial. So units_administered = 39. units_wasted = 10/10 = 1. But is wastage also subject to partial unit rule? It says "wastage from a single-dose vial is reported separately". The rules: "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." This partial unit rule applies to billing units generally: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." So for wastage, billing units are discarded dose divided by descriptor dosage? It says "units_wasted (integer billing units of discarded drug)". So yes discarded drug amount = total in vial(s) minus administered? Need careful: They reconstituted four 100 mg single-dose vials. Administered 390 mg. Remainder discarded = 10 mg. "wastage from a single-dose vial" - they opened four single-dose vials. Normally, if you have single-dose vials, any leftover in each vial after drawing the needed amount may be discarded. They used four vials, but did they use full 100 mg from three vials and 90 mg from the fourth? Let's see: To administer 390 mg, you'd withdraw 100 mg from vial 1, 100 from vial 2, 100 from vial 3, and 90 from vial 4. The remainder in vial 4 is 10 mg, which is discarded. But what about the other three vials? If you withdraw entire 100 mg from each of the first three, there is no remainder in those vials. The fourth vial had 100 mg, you withdraw 90 mg, leaving 10 mg discarded. So total discarded = 10 mg. Yes.

But wait, is there any overfill or something? Not mentioned. So 10 mg. Billing units of discarded drug = 10mg / 10mg = 1. But maybe since it's a single-dose vial, the entire remaining contents of the vial(s) are discarded. They used four vials, but only one vial has remainder 10 mg, the rest empty. So discarded = 10 mg => 1 unit.

However, there is a known HCPCS J1745 billing unit: J1745 is injection, infliximab, 10 mg. For infused drugs, billing units = number of 10 mg increments, rounding up? Actually Medicare: For J1745, bill 1 unit per 10 mg. If 390 mg administered, bill 39 units. Wastage: If a single-dose vial, wastage is billed with JW modifier, and units are the amount discarded in multiples of 10 mg, rounded up? Let's think: Descriptor dosage 10 mg. Billing units are administered dose divided by dosage, partial billed as whole unit. For wastage, you also divide discarded amount by 10 mg? The discarded amount is 10 mg, so 1 unit. If it were 5 mg discarded, it would be a partial unit (0.5) and billed as a whole unit (1). Here it's exactly 10 mg, so 1.

Wait, the weight/dose: 78 kg * 5 mg/kg = 390 mg. Yes. Four 100 mg vials = 400 mg. Discarded = 10 mg. So 390 mg administered, 10 mg discarded. But is there an issue that they reconstituted four vials, meaning they mixed 4 vials to get 400 mg, and then administered 390 mg. In reality, if you reconstitute four vials into a single infusion bag, the entire 400 mg is in the bag. You administer 390 mg, and 10 mg remains in the bag and is discarded. So discarded = 10 mg. Same.

Need output JSON:
{
  "units_administered": 39,
  "units_wasted": 1
}

But let's confirm no trick with "partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." Could units_administered be calculated from the dose based on weight? The dose is 5 mg/kg for 78 kg = 390 mg. But sometimes infliximab dosing is rounded to nearest vial? No, "390 mg is administered". So use actual administered 390 mg. Administered units = 390 / 10 = 39.

Check integer requirement: "units_administered" (integer billing units...), "units_wasted" (integer...). So output JSON numbers: 39 and 1.

Do we need to include any other keys? Required keys are exactly those two. Do not add keys. Output exactly one fenced JSON code block and nothing else. So:

```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```

Wait, before finalizing, let's re-read the reference carefully:

REFERENCE MATERIAL FOR THIS ITEM

HCPCS DRUG BILLING UNITS
A HCPCS Level II drug code carries a dosage in its descriptor. Billing units are
the administered dose divided by the descriptor dosage. A partial unit is billed
as a whole unit; wastage from a single-dose vial is reported separately and is
not included in the administered units.
Descriptor for this exercise: J1745 — injection, infliximab, 10 mg.

So:
- Administered dose = 390 mg.
- Descriptor dosage = 10 mg.
Billing units (administered) = 390 / 10 = 39. Since it's exact, no partial. units_administered = 39.

Wastage:
- The pharmacy reconstitutes four 100 mg single-dose vials = total 400 mg.
- Administered 390 mg; remainder discarded = 10 mg.
- "wastage from a single-dose vial is reported separately and is not included in the administered units." So we calculate billing units of discarded drug: discarded dose divided by descriptor dosage? It says "Billing units are the administered dose divided by the descriptor dosage." Then partial unit rule. Then wastage reported separately. It doesn't explicitly say "discarded dose divided by descriptor dosage", but the task asks for "integer billing units of discarded drug". By analogy and HCPCS rules, you divide discarded amount (10 mg) by 10 mg = 1 unit. Since partial unit billed as whole unit, if there were, say, 5 mg discarded, units_wasted would be 1. Here 10 mg gives 1.

But consider: They used four 100 mg single-dose vials. If they used partial amounts from multiple vials, perhaps the discarded amount is the sum of remainders from each vial. Four vials, to get 390 mg: 100+100+100+90. Remainder: 0+0+0+10 = 10 mg. Yes.

What if they administered 390 mg, but the dose prepared from four vials means the vials are single-dose, so any unused portion from each vial is discarded. They used 4 vials. Vials 1-3: used 100 mg each, no discard. Vial 4: used 90 mg, discard 10 mg. Total discard 10 mg. Same.

But wait, some billing rules say that for a single-dose vial, if you use any amount from the vial, the rest of that vial is wastage, and the wastage units are the full remaining amount in the vial(s), which is 10 mg. However, is the wastage calculated as the number of full vials minus the vials' contents used? Actually, if vials are 100 mg each, and you need 390 mg, you open 4 vials. The total drug in the 4 vials is 400 mg. You administer 390 mg. The amount discarded is 10 mg, which is less than a full vial. Since it's a single-dose vial, you can't save it. So yes, 10 mg discarded.

Now, the billing units of discarded drug: If the discarded amount is 10 mg, divided by 10 mg = 1. If the discarded amount had been, say, 5 mg, billing units would be 1 (partial unit billed as whole unit). Since it's exactly 10 mg, it's 1. Good.

Let's consider if the administered units should be rounded up from the number of vials? No, "administered dose divided by descriptor dosage". The administered dose is explicitly 390 mg (and derived from 78*5). So 39.

Double-check arithmetic: 78 kg * 5 mg/kg = 390 mg. Yes. 390 / 10 = 39. Four vials * 100 mg = 400 mg. 400 - 390 = 10 mg discarded. 10 / 10 = 1. units_wasted = 1.

Are there any edge cases? "A partial unit is billed as a whole unit" - If 390/10 = 39.0, no round needed. If they considered the administered dose as 78 * 5 = 390. Yes.

Wait, infliximab dosing: sometimes it's 5 mg/kg, for 78 kg that's 390 mg. They may round to vial size? But the prompt says "390 mg is administered". So no rounding to 400 mg.

Could units_wasted be 0? Because the remainder discarded is 10 mg, which is exactly 1 unit. So not zero.

Could the remainder be 400 - 390 = 10 mg, but because it's from a single-dose vial, the wastage is reported separately, and maybe the entire fourth vial is considered wasted? No, because 90 mg was administered from it. Only 10 mg remains. So only 10 mg is wasted/discarded. If you had to discard the whole vial because it's single-dose and you only used 90 mg, that means you discard 10 mg, not 100 mg. The 90 mg is administered. So the "discarded drug" is the 10 mg left over.

Could there be an interpretation that they reconstituted four vials, meaning they mixed all 400 mg, and then "390 mg is administered; the remainder is discarded." The remainder is 10 mg. Yes.

Thus final answer is straightforward.

Wait, let's re-read: "The pharmacy reconstitutes four 100 mg single-dose vials and 390 mg is administered; the remainder is discarded." "Reconstitutes four 100 mg single-dose vials" - If they reconstitute (i.e., add diluent and withdraw) four vials, they now have four vials' worth of solution. They administer 390 mg. The remainder is 10 mg. If they had used three full vials (300 mg) and 90 mg from the fourth, the remainder in the fourth is 10 mg. So 390 mg administered, 10 mg remainder. Yes.

Let's ensure output format: exactly one fenced JSON code block. No commentary. Use JSON null? Not needed. The keys required: "units_administered" and "units_wasted". Both integers.

```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```

Check if values should be quoted? The task says: "Required keys: "units_administered" (integer billing units for the administered drug) and "units_wasted" (integer billing units of discarded drug)." In the OUTPUT CONTRACT: "Integers are JSON numbers with no units and no quotes." So they must be numbers, not strings. So 39 and 1, not "39".

One more nuance: "Report codes exactly as they are written... Where a code carries a seventh character, include it." This is about codes, not relevant here since we output integers.

"Booleans are JSON true and false, not the strings..." Not relevant.

"Where an item supplies reference material, that material is authoritative... Never invent a code. If you cannot identify the correct value, return the string "UNKNOWN" for that key." We identified correct values.

Everything good.

Wait, I should check the phrase: "wastage from a single-dose vial is reported separately and is not included in the administered units." Does this mean that wastage is not rounded up? It says "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." The semicolon separates two clauses. The first clause: "A partial unit is billed as a whole unit;" This applies to billing units generally. The second: "wastage from a single-dose vial is reported separately and is not included in the administered units." So for wastage, you report it separately, and you also apply the same billing unit methodology (divide by descriptor dosage, round up partial). So 10 mg -> 1 unit. If it were 5 mg, round up to 1 unit. Since it's 10 mg, it's exactly 1.

Let's test an alternative: Some might think that because four vials were used, the wastage is 4 vials * 100 mg - 390 mg = 10 mg. So 1 unit. Yes.

Is there any possibility that units_administered should be 40? Because they had to use 4 vials (400 mg), and the dose administered is 390, but the billing is based on the amount drawn up? No, "Billing units are the administered dose divided by the descriptor dosage." Administered dose is 390 mg, not 400. So 39. The fact they reconstituted 400 mg doesn't change administered dose. So 39. If they had administered 400 mg, it would be 40.

What about the member's weight? 78 kg * 5 mg/kg = 390 mg. It matches the stated administered amount. No issue.

Thus final answer.

One last check: The JSON must be in a fenced code block. Exactly one. So:

```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```

No other text. Done.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 2,264 tokens
We need answer one fenced JSON block with required keys: "units_administered" and "units_wasted". Need compute billing units for HCPCS J1745 injection, infliximab, 10 mg. Descriptor dosage: 10 mg. Billing units = administered dose divided by descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and not included in administered units.

We have: member weighing 78 kg receives infliximab 5 mg/kg. Dose ordered? It says receives infliximab 5 mg/kg. The pharmacy reconstitutes four 100 mg single-dose vials and 390 mg is administered; the remainder is discarded.

Need compute administered dose: 78 kg * 5 mg/kg = 390 mg. Yes, 78*5=390. Administered = 390 mg. Descriptor dosage 10 mg. Billing units for administered drug = 390 / 10 = 39 units exactly. Wait descriptor "injection, infliximab, 10 mg" means each unit is 10 mg. 390/10=39 exactly, integer billing units = 39.

Now wastage: pharmacy reconstitutes four 100 mg single-dose vials. Total prepared = 4 * 100 = 400 mg. Administered = 390 mg. Remainder discarded = 10 mg. Wastage from a single-dose vial is reported separately and is not included in the administered units. Need integer billing units of discarded drug. Wastage is 10 mg discarded. Descriptor dosage 10 mg per unit. Billing units for wastage = 10 / 10 = 1 unit. Wait: The remainder is 10 mg from single-dose vials. It says "reconstitutes four 100 mg single-dose vials and 390 mg is administered; the remainder is discarded." Total 400 mg, administered 390 mg, discarded 10 mg. Wastage billing units = discarded dose / descriptor dosage. Discarded 10 mg / 10 mg = 1 unit. Partial unit? It's exactly 1. If remainder had been less than 10 mg, a partial unit is billed as a whole unit? Rule: "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." This likely applies to both administered and wasted? Billing units = administered dose divided by descriptor dosage. A partial unit is billed as a whole unit. For wastage, it's the discarded amount divided by descriptor dosage; if partial, round up? The rule says "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." It says "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." It defines billing units as administered dose divided by descriptor dosage, and partial unit billed whole. Then wastage is separate. It doesn't explicitly say how to compute wastage units, but by analogy wastage is discarded dose divided by descriptor dosage, and partial unit is billed as whole unit? Usually HCPCS drug billing: For wastage, you bill the amount discarded in units, with each unit = descriptor dosage, and any partial unit discarded is billed as a whole unit? Let's recall real-world: For J codes, billing units are based on the amount administered, using the dosage in the descriptor; e.g., J1745 is 10 mg, so administer 390 mg = 39 units. If there is wastage from single-dose vial, bill the discarded amount also in units, e.g., discard 10 mg = 1 unit. If discard 5 mg, bill 1 unit (since partial units billed as whole). But here discard is exactly 10 mg, which is 1 unit. No rounding issue.

Need ensure administered units integer: 39. Wasted units integer: 1.

Wait, let's double-check the scenario. It says "The pharmacy reconstitutes four 100 mg single-dose vials and 390 mg is administered; the remainder is discarded." Four vials of 100 mg each: total 400 mg. Administered 390 mg. Remainder 10 mg. Yes.

But could there be a nuance: The member receives infliximab 5 mg/kg. Weight 78 kg. Dose = 390 mg. Pharmacy reconstitutes four 100 mg single-dose vials = 400 mg. Administered 390 mg. Discarded 10 mg. Billing units administered = 39. Wasted = 1. That seems straightforward.

But wait, the descriptor: "J1745 — injection, infliximab, 10 mg." The billing units are administered dose divided by descriptor dosage. If the code descriptor dosage is 10 mg, billing unit = 10 mg. Administered dose 390 mg / 10 mg per unit = 39 units. Wastage: 10 mg / 10 mg per unit = 1 unit. Both integers.

Let's verify no need to consider that the vials are 100 mg each, and maybe the remainder from each vial? "reconstitutes four 100 mg single-dose vials" means they prepared four separate single-dose vials? Actually infliximab is a powder in single-dose vial, each vial contains 100 mg. They reconstitute four vials to get 400 mg total, draw up 390 mg into a syringe, and discard 10 mg. Since each vial is single-dose, maybe each vial is 100 mg, they use all four? Let's see: four 100 mg vials = 400 mg. To administer 390 mg, they might draw from the vials; if they use 4 vials, maybe they use 3 full vials (300 mg) plus 90 mg from the fourth vial, discarding 10 mg from that fourth vial. Since the fourth vial is single-dose, the remaining 10 mg in that vial is wasted. The first three vials were fully used? Actually each vial is 100 mg. If they administer 390 mg, they need the contents of four vials? Wait 3 vials give 300 mg. Need 90 mg more, so they open a fourth vial, withdraw 90 mg, and the remaining 10 mg in the fourth vial is discarded because it's a single-dose vial and cannot be saved? Or they reconstitute four vials, pool them? But if it's single-dose vials, you cannot pool and store? Let's think: Infliximab vials: each single-dose vial contains 100 mg. To prepare a 390 mg dose, the pharmacy would need to use 4 vials: three full vials (300 mg) plus one vial from which 90 mg is withdrawn, leaving 10 mg in that vial that is discarded as waste. So total drug into the dose is 390 mg, total discarded is 10 mg from the fourth vial. They "reconstitute four 100 mg single-dose vials" total 400 mg. Administer 390 mg, discard remainder (10 mg). Yes.

Wastage billing: Usually for single-dose vial wastage, you report the amount discarded using the JW modifier, billed in units. The amount discarded is 10 mg = 1 unit. There is no partial unit issue because exactly 10 mg.

Thus JSON:
{
  "units_administered": 39,
  "units_wasted": 1
}

Wait, check if they want integer billing units for administered drug and integer billing units of discarded drug. Yes. units_administered integer = 39. units_wasted integer = 1.

But let's consider if the administered dose is based on 5 mg/kg of 78 kg = 390 mg. The reference says: "A member weighing 78 kg receives infliximab 5 mg/kg." That is 390 mg ordered/administered. It says "and 390 mg is administered". So administered = 390 mg. Good.

What about the weight? 78 kg * 5 = 390. Yes.

Now, is there any possibility that billing units for administered should be 40? Because "A partial unit is billed as a whole unit" and the administered dose divided by descriptor dosage: If administered dose were, say, 395 mg, 395/10=39.5 -> 40 units. But here 390/10=39.0 exactly, so 39. No rounding up needed.

Wastage: remainder = 400 - 390 = 10 mg. 10/10 = 1.0, so 1 unit. If remainder were 5 mg, would be 0.5 -> 1 unit. But it's 10 mg.

Wait, total prepared: four 100 mg single-dose vials. Actually reconstituting four vials yields 4 * 100 = 400 mg. If 390 mg administered, remainder 10 mg. Yes.

Let's make sure the JSON keys exactly: "units_administered" and "units_wasted". Values must be JSON numbers (integers). Output exactly one fenced JSON code block and nothing else. No preamble, no commentary. Use ```json ... ```. Ensure no trailing commas.

Let's draft final:

```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```

Check: The task requires "Required keys: "units_administered" (integer billing units for the administered drug) and "units_wasted" (integer billing units of discarded drug)." Yes.

One more thought: The descriptor: "J1745 — injection, infliximab, 10 mg." The billing units are administered dose divided by descriptor dosage. A partial unit is billed as a whole unit. Is the discarded drug also divided by descriptor dosage and rounded up? The remainder is 10 mg, which is exactly 1 unit. So answer stands.

But wait: Let's re-read: "The pharmacy reconstitutes four 100 mg single-dose vials and 390 mg is administered; the remainder is discarded." Does "the remainder is discarded" mean the remainder of the 390 mg dose? No, remainder of the reconstituted drug. Total 400 mg, 390 mg administered, 10 mg discarded. Good.

Could there be an issue: "receives infliximab 5 mg/kg" means the dose is 5 mg per kg. 78 kg * 5 = 390 mg. They administered 390 mg. Good.

I think done.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 2,786 tokens
We need answer JSON only. Need solve task.

We have reference: HCPCS J1745 injection, infliximab, 10 mg. Billing units = administered dose divided by descriptor dosage. Partial unit billed as whole unit; wastage from single-dose vial reported separately and not included in administered units.

Member weight 78 kg receives infliximab 5 mg/kg. Pharmacy reconstitutes four 100 mg single-dose vials and 390 mg is administered; remainder discarded.

Need units_administered (integer billing units for administered drug) and units_wasted (integer billing units of discarded drug).

We need calculate administered dose? They say member receives infliximab 5 mg/kg, weight 78 kg => 78 * 5 = 390 mg. Indeed administered is 390 mg. Descriptor dosage J1745 = 10 mg. Billing units administered = administered dose / descriptor dosage = 390 / 10 = 39 units. Partial unit whole? 39 exactly no partial. So administered units = 39.

Now wastage: They reconstitute four 100 mg single-dose vials. Total drug prepared = 4 * 100 mg = 400 mg. Administered 390 mg. Remainder discarded = 400 - 390 = 10 mg. Is that correct? They reconstitute four 100 mg single-dose vials and 390 mg is administered; remainder is discarded. Total volume 400 mg. Discarded amount = 10 mg. Wastage billing units = discarded drug divided by descriptor dosage = 10 / 10 = 1 unit. Partial unit? 1 exactly. So units_wasted = 1.

But we must carefully interpret HCPCS drug billing units. "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." For discarded drug, how to compute units? It says "wastage from a single-dose vial is reported separately" and "units_wasted (integer billing units of discarded drug)." So wastage units = discarded dose / descriptor dosage, with partial units rounded up? Let's parse: "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." The rule for billing units: administered dose divided by descriptor dosage. Then partial unit is billed as whole unit. That applies to billing units in general. For wastage, it's discarded drug units. Discarded drug = 10 mg, divided by 10 mg = 1 unit exactly. No rounding issue.

But wait: Could wastage be from four 100 mg vials, each single-dose, remainder discarded. They reconstituted four vials => total 400 mg. Administered 390. Discarded 10 mg. However, is there any concept that each vial's wastage is reported per vial with partial units rounded up? For single-dose vials, if you have four vials of 100 mg, you might draw 390 mg from them. How much is discarded? If you use four 100 mg vials, you use 390 mg total, leaving 10 mg total across vials (maybe one vial has 10 mg remaining, others empty). Wastage billing units are total discarded drug / dosage. So 1 unit. But HCPCS J1745 billing for wastage: Some payers require reporting wastage in units where 1 unit = 10 mg. If 10 mg discarded, that's 1 unit. Right.

But let's ensure no nuance: "The pharmacy reconstitutes four 100 mg single-dose vials and 390 mg is administered; the remainder is discarded." Wait, "reconstitutes four 100 mg single-dose vials". Infliximab 100 mg vial: after reconstitution, maybe each vial contains 100 mg? Usually infliximab is 100 mg vial. Four vials total 400 mg. Administer 390 mg. Discard remainder = 10 mg. Yes.

Let's check math: Dose ordered 5 mg/kg * 78 kg = 390 mg. Administered = 390 mg. Units administered = ceil(390/10)? 390/10 = 39.0. Ceil = 39. Good.

Wastage: total available 400 mg, administered 390 mg, discarded 10 mg. Units wasted = ceil(10/10)? = 1. Good.

But wait, is there possible alternate interpretation: They reconstituted four 100 mg single-dose vials, but perhaps 390 mg administered means 3.9 vials used, and one full 100 mg vial plus remainder? No: four vials = 400 mg. If 390 mg administered, remainder discarded is 10 mg. However, because each vial is single-dose, once reconstituted, each vial's entire contents must be used or discarded? Actually single-dose vial: after reconstitution, the vial is single-use; any remainder in each vial after drawing a dose is discarded. But the total amount discarded might be more than 10 mg if you have to discard partial vials? Let's think: You have four separate 100 mg vials. To administer 390 mg, you could draw 100 mg from vial 1, 100 from vial 2, 100 from vial 3, and 90 mg from vial 4. Then vial 4 had 100 mg, you drew 90 mg, leaving 10 mg in vial 4 to discard. Vials 1-3 are empty (maybe residual negligible). So total discarded = 10 mg. That's consistent.

But if you had to use full vials? No, you can withdraw partial from a vial. The remainder in that vial is discarded. So total discarded = 10 mg. Good.

Could there be an argument that because it's "single-dose vial", you cannot use a vial for more than one patient, but you can draw partial. Wastage is amount remaining in vial(s) after drawing the administered amount. Yes.

Check rounding rule: "Round half up to the cent at the end of a calculation, not at each intermediate step." But this task is integer units, not money. For units, "A partial unit is billed as a whole unit" meaning always round up to next whole unit (ceiling), regardless of fraction. For 390/10=39 exactly, no partial. For 10/10=1 exactly.

But wait, is the dose 5 mg/kg for a 78 kg member = 390 mg. Correct. Could administered dose be rounded? No.

Potential twist: HCPCS J1745 descriptor: "injection, infliximab, 10 mg". Actually real HCPCS J1745 is "Injection, infliximab, 10 mg" (and includes biosimilars?). Billing unit = 10 mg. Yes. Administered 390 mg = 39 units. Wastage: For drugs, billing for wastage is often reported with JW modifier for discarded drug. The units for wastage are based on the amount discarded, also in multiples of the billing unit (10 mg). If 10 mg discarded, 1 unit. Some instructions: "the billing units for wastage should be reported separately and calculated by dividing the amount of discarded drug by the dosage in the descriptor, rounding up to the nearest whole unit." So 10/10 = 1. Good.

Need output exactly one fenced JSON code block. Required keys: "units_administered" integer, "units_wasted" integer. Use JSON numbers no quotes. So:

```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```

Wait, are we sure "units_wasted" is based on discarded drug or based on the number of vials? The key: "units_wasted" (integer billing units of discarded drug). Discarded drug = remainder = 400 - 390 = 10 mg. Billing units of discarded drug = 10 mg / 10 mg per unit = 1. Yes.

Let's consider if there's any nuance about "four 100 mg single-dose vials". If each vial after reconstitution might not be exactly 100 mg? The descriptor is 100 mg per vial. They say "four 100 mg single-dose vials". So total 400 mg. Administered 390 mg. Remainder discarded = 10 mg. Yes.

What about "partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." The phrase "A partial unit is billed as a whole unit" could refer to the result of the division. If division yields e.g., 1.1 units, bill 2. Here 39 and 1 exact.

Double-check weight dose: 78 kg * 5 mg/kg = 390 mg. Yes.

One more thought: The administered dose is 390 mg, but total prepared is 400 mg. Did they administer from four vials? They reconstituted four 100 mg vials. If each is single-dose, maybe you cannot combine vials? Actually you can combine reconstituted vials into an IV bag for infusion. Infliximab is IV infusion. The pharmacy reconstitutes four vials and adds to IV bag. The total drug in bag is 400 mg. Administer 390 mg? Infusion pumps might administer the full bag? But the prompt says "390 mg is administered; the remainder is discarded." So they intentionally administered 390 mg, leaving 10 mg in the bag discarded. Or maybe the bag has 400 mg, dose is 390 mg, they stop infusion after 390 mg and discard 10 mg. Yes.

But if the dose is 5 mg/kg * 78 = 390 mg, why prepare 400 mg? Because vials are 100 mg, need at least 390 mg, so use four vials (400 mg). Administer 390 mg, waste 10 mg. Exactly.

Thus answer.

Need to ensure formatting: fenced code block with json. Nothing else. No preamble. Use exactly:

```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```

Check if key names exactly as required: "units_administered" and "units_wasted". Yes.

Should I include trailing newline? It's fine. Just the code block.

Let's also consider if they expect 40 administered? Wait, "billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit". Administered dose = 390 mg. 390/10 = 39. Not partial. So 39.

Some might think: dose 5 mg/kg maybe round weight? No.

Check if wastage should be rounded per vial: If you have four vials, one vial had 10 mg left, that's 1 unit. If you had drawn 90 mg from the fourth vial, maybe you actually discard 90? No, you drew 90 mg into the infusion, leaving 10 mg in vial. Wait, let's simulate: Need 390 mg total. Use vial A: draw 100 mg (empty). Vial B: draw 100 mg (empty). Vial C: draw 100 mg (empty). That's 300 mg. Need 90 mg more. Vial D: draw 90 mg, leaving 10 mg in vial D. That 10 mg is discarded (waste). Total drawn/ administered = 390 mg. Total discarded = 10 mg. Yes.

But what about the residual volume in vials? For a single-dose vial, after withdrawing the contents, there is always some residual that cannot be withdrawn; but the prompt says remainder is discarded. It says total remainder (400-390) discarded. So ignore residual.

Thus final.

One more nuance: The units for wastage: Some billing guidance says wastage is reported in units based on the amount of drug discarded, but you cannot bill for drug that was not administered from a single-dose vial if the vial was not opened? But here vials are reconstituted, remainder discarded. Yes, bill waste with JW.

The task says: "wastage from a single-dose vial is reported separately and is not included in the administered units." It doesn't explicitly say how to compute units_wasted, but key description "integer billing units of discarded drug". So discarded drug amount = total prepared - administered = 10 mg. Divide by 10 mg = 1. Good.

Could there be a trick: "four 100 mg single-dose vials" = 400 mg. Administered 390 mg. Discarded remainder = 10 mg. But J1745 dosage is 10 mg. 10 mg discarded = 1 unit. Yes.

Let's draft final answer. Must be exactly one fenced JSON block. Ensure no extra text. Done.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Qwen3.8 Flash · Alibaba3.5s · 249 out | 10.6s · 214 out | 9.1s · 327 out
Attempt 1
Reasoning · 217 tokens
We need answer JSON only. Need compute units administered and wasted. Let's reason carefully.

Task: HCPCS drug billing units. Descriptor: J1745 — injection, infliximab, 10 mg. Billing units = administered dose divided by descriptor dosage. Partial unit billed as whole unit; wastage from single-dose vial reported separately and is not included in administered units.

Member 78 kg receives infliximab 5 mg/kg. Dose = 390 mg. Pharmacy reconstitutes four 100 mg single-dose vials = 400 mg. 390 mg administered; remainder 10 mg discarded.

J1745 descriptor 10 mg. Administered units = 390 / 10 = 39 units exactly. Integer. Wasted = 10 / 10 = 1 unit exactly. Partial not issue. Need output keys units_administered, units_wasted. JSON only. Ensure no extra.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 182 tokens
We need answer JSON only. Need compute billing units. Reference: HCPCS J1745 descriptor injection infliximab 10 mg. Billing units administered dose divided by descriptor dosage. Partial unit billed as whole unit. Wastage from single-dose vial reported separately and not included in administered units.

Member 78 kg receives infliximab 5 mg/kg = 390 mg. Pharmacy reconstitutes four 100 mg single-dose vials = 400 mg. 390 mg administered, 10 mg discarded.
Descriptor 10 mg. Admin units = 390/10 = 39 exact. Wasted units = 10/10 = 1 exact. Need integer. Output keys units_administered units_wasted. Ensure JSON block only. No commentary.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 295 tokens
We need answer with JSON only. Need analyze carefully.

Task: HCPCS drug billing units. Descriptor J1745 injection, infliximab, 10 mg. Billing units = administered dose divided by descriptor dosage. Partial unit billed as whole unit; wastage from single-dose vial reported separately and is not included in administered units.

Member 78 kg receives infliximab 5 mg/kg. Pharmacy reconstitutes four 100 mg single-dose vials and 390 mg administered; remainder discarded. Required keys units_administered integer billing units for administered drug and units_wasted integer billing units of discarded drug.

Compute dose ordered? 78*5=390 mg. Administered 390 mg. Descriptor 10 mg per unit. 390/10=39 units. Wasted: total reconstituted 4*100=400 mg. Administered 390, discarded 10 mg. Billing units wasted = 10/10=1 unit. Partial unit rule? administered exact integer, waste exact integer. So units_administered 39, units_wasted 1.

Need ensure units_wasted for discarded drug: yes reported separately, not included administered. If partial unit billed as whole unit? Here none.

Need final only fenced JSON.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Kimi K2.6 · Moonshot12.4s · 879 out | 16.1s · 658 out | 20.3s · 746 out
Attempt 1
Reasoning · 852 tokens
We need to parse the problem carefully.

The reference material: HCPCS Level II drug code J1745 — injection, infliximab, 10 mg. Billing units are administered dose divided by descriptor dosage. Partial unit is billed as a whole unit. Wastage from a single-dose vial is reported separately and is not included in the administered units.

Member weighing 78 kg receives infliximab 5 mg/kg. So ordered dose = 78 kg * 5 mg/kg = 390 mg.

Pharmacy reconstitutes four 100 mg single-dose vials. So total reconstituted = 400 mg.

Administered: 390 mg. Remainder discarded: 400 - 390 = 10 mg.

Now we need to compute billing units for administered and wasted.

Descriptor: J1745 is 10 mg per billing unit. So billing unit size = 10 mg.

Units administered: administered dose (390 mg) divided by 10 mg = 39 units exactly. Since partial unit is billed as whole unit, but 390/10 = 39 exactly, so units_administered = 39.

Units wasted: discarded drug is 10 mg. Wastage from a single-dose vial is reported separately and is not included in administered units. So we compute wasted billing units: 10 mg / 10 mg per unit = 1 unit. Since it's whole number, units_wasted = 1.

We should verify: The total reconstituted from four 100 mg vials is 400 mg. The administered is 390 mg. Wasted is 10 mg. The problem says remainder is discarded. Wastage is reported separately. So yes.

Thus answer:

{
  "units_administered": 39,
  "units_wasted": 1
}

Check constraints: integer billing units. Yes.

We must ensure JSON is exactly one fenced block with nothing else.

Also ensure no extra keys. Only "units_administered" and "units_wasted".

Double-check: Could there be any nuance about "partial unit is billed as a whole unit"? 390/10 = 39 exactly, no partial. 10/10 = 1 exactly.

What about the fact that four 100 mg single-dose vials were reconstituted. Could wastage be considered per vial? The problem says "the remainder is discarded." Remainder is 10 mg. So wasted is 10 mg. If we had to consider that wastage is only reported if a vial is opened but not fully used? The instruction says "wastage from a single-dose vial is reported separately and is not included in the administered units." So yes, the 10 mg wasted is reported.

Could the wastage be 0 because they used 4 vials and only 390 mg administered, so 10 mg waste is less than a full vial? No, the material says wastage from a single-dose vial is reported separately. It doesn't say only full vial wastage is reported. It says remainder is discarded. So we report it.

Wait, but sometimes in medical billing, wastage is reported only when a vial is partially used and the leftover is discarded, but you report the number of units wasted. 10 mg is 1 unit. So 1 unit wasted.

Is there any rule that says you cannot bill waste if it's less than a billing unit? The prompt says "A partial unit is billed as a whole unit". That applies to billing units generally. So 10 mg waste is 1 unit. So units_wasted = 1.

Let me think if there's any other interpretation: The administered dose is 390 mg. The drug is dosed at 5 mg/kg for 78 kg = 390 mg. They reconstituted four 100 mg vials = 400 mg. They administered 390 mg and discarded 10 mg. Billing unit is 10 mg. So administered units = 390/10 = 39. Wasted units = 10/10 = 1. That seems straightforward.

Thus final JSON.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 587 tokens
 The user wants me to calculate billing units for administered and wasted infliximab based on the reference material.

Reference material:
- HCPCS Level II drug code: J1745 — injection, infliximab, 10 mg.
- Billing units = administered dose divided by descriptor dosage. A partial unit is billed as a whole unit.
- Wastage from a single-dose vial is reported separately and is not included in the administered units.

Facts:
- Member weighs 78 kg.
- Dose: 5 mg/kg.
- Pharmacy reconstitutes four 100 mg single-dose vials = 400 mg total available.
- 390 mg is administered.
- Remainder is discarded. Remainder = 400 - 390 = 10 mg discarded.

Wait, let me double-check the math:
Member weight: 78 kg.
Dose: 5 mg/kg = 390 mg.
So the ordered/administered dose is 390 mg.
They reconstituted four 100 mg vials = 400 mg.
Administered: 390 mg.
Discarded: 10 mg.

Now, billing units calculation:
Descriptor dosage for J1745 is 10 mg per billing unit.

Administered units:
390 mg / 10 mg per unit = 39 units. Since 390 is exactly divisible by 10, no rounding needed. 39 units.

Wasted units:
10 mg / 10 mg per unit = 1 unit. Since 10 mg is exactly divisible by 10, 1 unit.

Wait, the prompt says "A partial unit is billed as a whole unit". Here we have exact integers anyway.

So:
units_administered: 39
units_wasted: 1

Let me make sure about "Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units."

So administered: 390 mg / 10 mg = 39.
Wasted: 10 mg / 10 mg = 1.

Yes.

Let me double check if there's any trick.
- "The pharmacy reconstitutes four 100 mg single-dose vials" = 400 mg total.
- "390 mg is administered" — this matches the calculated dose (78 kg * 5 mg/kg = 390 mg).
- "the remainder is discarded" — remainder is 400 - 390 = 10 mg.
- Descriptor: J1745 — injection, infliximab, 10 mg.
- Administered units: 390 / 10 = 39.
- Wasted units: 10 / 10 = 1.

All seems straightforward.

Required keys: "units_administered" (integer) and "units_wasted" (integer).

Output as JSON only.

```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```

No extra keys. Use JSON numbers (integers).

Looks good.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 719 tokens
We need to parse the problem carefully. It's about HCPCS drug billing units. The reference material says:

- HCPCS Level II drug code carries a dosage in its descriptor. Billing units are the administered dose divided by the descriptor dosage. A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units.
- Descriptor: J1745 — injection, infliximab, 10 mg.

So each billing unit corresponds to 10 mg.

Member weighing 78 kg receives infliximab 5 mg/kg.
So prescribed/administered dose = 78 kg * 5 mg/kg = 390 mg.

The pharmacy reconstitutes four 100 mg single-dose vials = 400 mg total.
390 mg is administered; remainder (400 - 390 = 10 mg) is discarded.

We need to compute:
- units_administered: integer billing units for the administered drug.
- units_wasted: integer billing units of discarded drug.

Billing units = administered dose / descriptor dosage (10 mg). Partial unit is billed as a whole unit. So 390 mg / 10 mg = 39.0 units. Since it's exact integer, units_administered = 39.

Wastage: remainder is 10 mg. Wastage from a single-dose vial is reported separately and is not included in the administered units. So wasted units = 10 mg / 10 mg = 1 unit. Since it's exact, units_wasted = 1.

We should double-check: does the wastage get rounded up? The problem says "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." The descriptor dosage is 10 mg. Wasted is 10 mg, which is exactly 1 unit. So 1.

But wait: is there any nuance about the fact that they reconstituted four 100 mg vials? The total available is 400 mg. Administered is 390 mg. Wasted is 10 mg. Yes.

But is there any rule about billing units for waste being based on the number of vials opened beyond what was needed? For example, if you needed 390 mg, you could have used three 100 mg vials (300 mg) plus one 100 mg vial (100 mg) = 400 mg. Waste is 10 mg. But sometimes payer policy might say you bill for administered units plus waste, but waste is limited to the amount in the last vial opened? However, the problem statement is self-contained and only gives the reference material above. It does not mention any additional rules about vial size restrictions or anything. So we just compute based on the given numbers.

One thing: the administered dose is 390 mg. But the prescription is 5 mg/kg for 78 kg = 390 mg. So exact.

Thus:
units_administered = 39
units_wasted = 1

We need to output a JSON object with exactly these keys. No extra keys.

The output contract: exactly one fenced JSON code block and nothing else.

```json
{
  "units_administered": 39,
  "units_wasted": 1
}
```

Double-check if any rounding issues: 390 / 10 = 39 exactly. 10 / 10 = 1 exactly. Integers.

I think that's it.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100DeepSeek V4 Pro · DeepSeek1.1s · 25 out | 2.7s · 324 out | 5.9s · 231 out
Attempt 1
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 298 tokens
We are asked: "A member weighing 78 kg receives infliximab 5 mg/kg. The pharmacy reconstitutes four 100 mg single-dose vials and 390 mg is administered; the remainder is discarded."

We need billing units for administered and wasted drug for J1745: injection, infliximab, 10 mg.

First, calculate the dose: 5 mg/kg * 78 kg = 390 mg. That's administered. The descriptor is per 10 mg. We need billing units: administered dose divided by descriptor dosage. So 390 mg / 10 mg per unit = 39 units. Billing units are integers, and partial unit is billed as a whole unit. Here it's exactly 39, no partial.

Now, they reconstituted four 100 mg single-dose vials, so total drug available = 4 * 100 mg = 400 mg. Administered 390 mg, so wasted = 400 - 390 = 10 mg. Wastage billing units: 10 mg / 10 mg = 1 unit. So units_wasted = 1.

Thus: units_administered = 39, units_wasted = 1.

We return JSON. Keys: "units_administered", "units_wasted". Both integers.

Note: per instruction, wastage from a single-dose vial is reported separately and is not included in the administered units. So administered units = 39, wasted = 1.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 205 tokens
We are given: HCPCS J1745 — injection, infliximab, 10 mg. So each billing unit is 10 mg. The administered dose: 5 mg/kg * 78 kg = 390 mg. Billing units for administered: 390 mg / 10 mg = 39 units. According to instructions: "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units." Administered units: since 39 is a whole number, units_administered = 39.

Now wasted drug: They reconstituted four 100 mg vials, total 400 mg. Administered 390 mg, so wastage = 10 mg. But note that wastage is reported separately. Billing units for wasted: 10 mg / 10 mg = 1 unit. So units_wasted = 1.

Thus answer: {"units_administered": 39, "units_wasted": 1}
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100GPT-5.6 Luna · OpenAI3.5s · 61 out | 1.8s · 66 out | 2.0s · 70 out
Attempt 1
Reasoning · 37 tokens
**Calculating numbers accurately**

I need to compute a division, 390 divided by 10, which gives me 39. Then, I need to determine the wasted amount, which is 400 minus 390, resulting in 10 mg, or 1 unit. It's essential for me to present the final result in a precise JSON format, ensuring clarity and accuracy. I just want to make sure everything's correct and properly structured!
json{"units_administered":39,"units_wasted":1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 42 tokens
**Calculating dosage accurately**

I’m figuring out the appropriate dosage here: I need to compute 390 mg divided by 10, which equals 39. Since 400 mg minus 390 mg gives me a waste of 10 mg, that converts to 1 unit. I’m also noting that the dose of 5 mg per kg is consistently aimed at that 390 mg mark. So, maintaining the correct calculations is crucial for precision. I'm just ensuring everything aligns correctly with dosage requirements in a clean JSON format!
json{"units_administered":39,"units_wasted":1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 46 tokens
**Calculating dosage units**

I need to calculate the dose by multiplying 78 by 5 to get 390 mg. Then, if the descriptor is 10 mg, that translates to 39 units. I've got four vials at 400 mg, factoring in waste of 10 mg, which equals about 1 unit — it might end up being a partial whole. So, I’ll need to output this in precise fenced JSON format for clarity.
json{"units_administered":39,"units_wasted":1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100DeepSeek V4 Flash · DeepSeek6.6s · 158 out | 2.6s · 207 out | 6.4s · 233 out
Attempt 1
Reasoning · 132 tokens
We need to calculate units administered and wasted. Descriptor: 10 mg per unit. Dose: 5 mg/kg * 78 kg = 390 mg. Vials: 4 * 100 mg = 400 mg total. Administered 390 mg, wasted 10 mg. Units: administered = 390/10 = 39 units. Wasted = 10/10 = 1 unit. But note: "vials reconstituted" - they reconstituted 4 vials, used 390 mg, leftover 10 mg is waste. So units_administered = 39, units_wasted = 1. Return JSON.
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 185 tokens
We need answer JSON with units_administered and units_wasted. Need understand HCPCS J1745 injection infliximab 10 mg. Billing units = administered dose divided by descriptor dosage. Partial unit billed as whole unit. Wastage from single-dose vial reported separately and not included in administered units.

Member 78 kg receives infliximab 5 mg/kg = 390 mg. Pharmacy reconstitutes four 100 mg single-dose vials = 400 mg total. 390 mg administered; remainder 10 mg discarded.

Descriptor dosage 10 mg per billing unit. Administered units: 390 mg / 10 mg = 39 units exactly. Wasted units: 10 mg / 10 mg = 1 unit. Need integer. So units_administered 39, units_wasted 1. Need ensure "partial unit billed as whole unit" no partial. Both exact. ReturnJSON.
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 222 tokens
We need answer JSON only. Need compute units administered and wasted. HCPCS J1745 10 mg per billing unit? Descriptor injection infliximab, 10 mg. Billing units administered dose divided by descriptor dosage, partial unit billed as whole unit. Wastage from single-dose vial reported separately not included in administered units. Member receives 390 mg administered. Dose per code 10 mg, so units administered = 390/10 = 39 exactly. Wasted: four 100 mg vials = 400 mg total reconstituted? Actually four 100 mg single-dose vials = 400 mg total drug, administered 390 mg, remainder discarded 10 mg. Billing units of discarded drug = 10 mg / 10 mg per unit = 1 unit. But note administered units not include wastage. Is wastage from single-dose vial reported separately with JW modifier, units wasted = 1. Need integers. So output {"units_administered":39,"units_wasted":1}. Ensure no extra.
json{"units_administered": 39, "units_wasted": 1}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100Claude Haiku 4.5 · Anthropic8.7s · 453 out | 4.3s · 471 out | 10.4s · 550 out
Attempt 1
Reasoning · 420 tokens
Let me work through this step by step.

The reference material states:
- J1745 is injection, infliximab, 10 mg
- Billing units = administered dose / descriptor dosage
- A partial unit is billed as a whole unit
- Wastage from a single-dose vial is reported separately and is not included in administered units

Given:
- Member weight: 78 kg
- Dose: 5 mg/kg
- Vials reconstituted: four 100 mg single-dose vials = 400 mg total
- Administered: 390 mg
- Remainder discarded: 400 - 390 = 10 mg

The descriptor dosage for J1745 is 10 mg.

Units administered:
- Administered dose: 390 mg
- Descriptor dosage: 10 mg
- Billing units = 390 / 10 = 39 units

Units wasted:
- Wasted drug: 10 mg
- Descriptor dosage: 10 mg
- Billing units = 10 / 10 = 1 unit

Wait, let me reconsider. The instruction says "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in administered units."

This means:
- For the administered dose, any partial unit rounds up to a whole unit
- For wastage, it's reported separately as integer billing units

For administered dose:
390 mg / 10 mg per unit = 39 units (exact, no partial unit)

For wasted dose:
10 mg / 10 mg per unit = 1 unit (exact, no partial unit)

So:
- units_administered: 39
- units_wasted: 1
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
Reasoning · 438 tokens
Let me work through this step by step.

The problem:
- Member weighs 78 kg
- Receives infliximab 5 mg/kg
- Pharmacy reconstitutes four 100 mg single-dose vials
- 390 mg is administered
- Remainder is discarded

The code is J1745 - injection, infliximab, 10 mg.

So the descriptor dosage is 10 mg per unit.

First, let me calculate the total dose ordered:
78 kg × 5 mg/kg = 390 mg

This matches what was administered, so 390 mg is the administered dose.

Now I need to calculate billing units.

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; wastage from a single-dose vial is reported separately and is not included in the administered units."

For units_administered:
390 mg ÷ 10 mg per unit = 39 units

For units_wasted:
Four 100 mg vials were reconstituted = 400 mg total
390 mg was administered
400 mg - 390 mg = 10 mg wasted

10 mg ÷ 10 mg per unit = 1 unit wasted

Wait, let me re-read the instruction: "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units."

So:
- units_administered: 390 mg ÷ 10 mg = 39 units (this is exact, no partial unit)
- units_wasted: 10 mg ÷ 10 mg = 1 unit

Both are whole numbers, so:
- units_administered = 39
- units_wasted = 1
json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
Reasoning · 517 tokens
Let me work through this HCPCS drug billing calculation step by step.

Given information:
- Code descriptor: J1745 — injection, infliximab, 10 mg
- Member weight: 78 kg
- Dosage calculation: 5 mg/kg
- Vials used: four 100 mg single-dose vials (total 400 mg available)
- Amount administered: 390 mg
- Remainder discarded: 400 mg - 390 mg = 10 mg

Step 1: Calculate the prescribed dose
Dose = 5 mg/kg × 78 kg = 390 mg
(This matches the administered amount, which makes sense)

Step 2: Understand the billing unit concept
The HCPCS code J1745 has a descriptor dosage of 10 mg per unit.
Billing units = Administered dose ÷ Descriptor dosage

Step 3: Calculate units administered
Units administered = 390 mg ÷ 10 mg per unit = 39 units

Step 4: Calculate units wasted
Waste = 400 mg (total in vials) - 390 mg (administered) = 10 mg
Units wasted = 10 mg ÷ 10 mg per unit = 1 unit

According to the reference material: "A partial unit is billed as a whole unit; wastage from a single-dose vial is reported separately and is not included in the administered units."

So:
- units_administered: 39 (390 mg ÷ 10 mg = 39 units)
- units_wasted: 1 (10 mg ÷ 10 mg = 1 unit)

Let me double-check:
- Total drug available: 4 vials × 100 mg = 400 mg
- Administered: 390 mg = 39 units of billing
- Wasted: 10 mg = 1 unit of billing
- Total: 400 mg accounted for ✓

This confirms the final breakdown cleanly, with nothing left unaccounted for.

json{
  "units_administered": 39,
  "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
100DeepSeek V3.2 · DeepSeek1.5s · 25 out | 1.8s · 25 out | 1.2s · 25 out
Attempt 1
json{
    "units_administered": 39,
    "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 2
json{
    "units_administered": 39,
    "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}
Attempt 3
json{
    "units_administered": 39,
    "units_wasted": 1
}
Grader detail
json{
  "fields": [
    {
      "field": "units_administered",
      "want": 39,
      "got": 39,
      "ok": true,
      "present": true
    },
    {
      "field": "units_wasted",
      "want": 1,
      "got": 1,
      "ok": true,
      "present": true
    }
  ],
  "fabricated": false,
  "abstained": false
}