We need answer JSON only. Need process payroll record. Need inspect rules. Need determine if conflict resolved by amendment. Inputs: payroll gross 1778.50, month 2026-07, allowed_deduction 0.00. Contract gross 2254.61 differs. Amendment gross 1778.50, approved true, effective_month 2026-04 <= payroll month 2026-07, amount equals payroll record gross_pay. Thus resolves conflict under R9. No clarification. Calculate using authoritative case schedule second-half because 2026-07 through 2026-12. Schedule: second-half rate 0.07, cap 4000.00, deduction 400.00, free 1100.00, upper 3300.00, middle_rate 0.14, upper_rate 0.22.

Need calculate.

Gross_pay = 1778.50.
Employee contribution = rate * min(gross, wage cap). min 1778.50, 4000 = 1778.50. 0.07 * 1778.50 = 124.495. Round half-up to two decimals = 124.50? Let's compute: 1778.50 * 7 /100 = 124.495. Half-up at third decimal 5 => 124.50. Yes.

Allowed deduction = 0.00. Check <= deduction cap 400.00 and <= gross - employee contribution = 1778.50 - 124.50 = 1654.00. OK.

Taxable pay = gross - employee contribution - allowed deduction = 1778.50 - 124.50 - 0.00 = 1654.00.

Income tax progressive:
Taxable pay 1654.00. Tax-free amount 1100.00. So portion above free up to upper boundary: upper bracket begins 3300.00. Since taxable 1654 < 3300, all above free (1654 - 1100 = 554.00) at middle rate 0.14. Tax = 554 * 0.14 = 77.56. No upper. Round 77.56.

Net pay = gross - employee contribution - allowed deduction - income tax = 1778.50 - 124.50 - 0 - 77.56 = 1576.44? 1778.50 - 124.50 = 1654.00. 1654.00 - 77.56 = 1576.44. Yes.

Need output decision calculate, currency LCR, fields as strings two decimals. Clauses: Calculated answers cite R1 through R6, and also R9 only when amendment needed to resolve conflict. Here amendment needed? There is conflict between contract and payroll gross. Amendment approved effective before and amount equals payroll gross. So cite R9. Also R1-R6. Need only clauses that directly govern answer. Required answer fields: calculate uses decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted. Need no Markdown fences. Include clauses array maybe ["R1","R2","R3","R4","R5","R6","R9"]. Is R7 needed? No, no clarification. R9 needed to resolve conflict. R1 for reference schedule selection. R2 arithmetic. R3 contribution. R4 deduction/taxable. R5 tax. R6 net/answer. R9 amendment. Could include R1-R6 and R9. The instruction says "Use exactly the required answer fields and only the clauses that directly govern the answer." Clauses field is required. So include clauses. Maybe no explanation. Need ensure money strings two decimals.

Let's double-check authoritative schedule replaces defaults. Yes. Month 2026-07 second-half. Contribution rate 0.07. Wage cap 4000.00. Deduction cap 400.00. Tax-free 1100.00. Upper bracket begins 3300.00. Middle 0.14. Upper 0.22. Correct.

Potential subtlety: R4 allowed_deduction must not exceed selected deduction cap or gross pay minus rounded employee contribution. 0.00 okay.

Potential subtlety: contract conflict: optional contract_gross_pay present differs from gross_pay. R7 says if optional contract_gross_pay present and differs from gross_pay, neither source takes precedence unless approved amendment resolves it under R9. Otherwise clarify. Here amendment resolves. It says "It resolves a contract conflict only if it is approved, its effective month is no later than the payroll month, and its amount equals the payroll record's gross pay." Yes. So calculate.

Potential subtlety: amendment amount equals payroll record's gross pay, not contract. Yes.

Potential subtlety: R9 says "Matching contract values require no amendment." Here contract differs. Amendment needed. So cite R9.

Need output JSON object. Ensure no extra prose. Let's produce.

Wait: The user says "Return the R6 or R7 JSON answer." We return calculate.

Need include "clauses" maybe array of strings. Use exactly required answer fields. Explanation optional. I can omit explanation. The JSON:

{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "1778.50",
  "employee_contribution": "124.50",
  "allowed_deduction": "0.00",
  "taxable_pay": "1654.00",
  "income_tax": "77.56",
  "net_pay": "1576.44",
  "clauses": ["R1","R2","R3","R4","R5","R6","R9"]
}

Check net: 1778.50 - 124.50 = 1654.00; - 77.56 = 1576.44. Yes.

Need maybe include R7? No. R9 for conflict. R1-R6. Good.

Let's final.

We need answer JSON only. Need process. Need inspect rules. We have payroll record gross_pay 1778.50, payroll_month 2026-07, allowed_deduction 0.00. Contract gross_pay 2254.61 differs. Amendment gross_pay 1778.50 approved true effective_month 2026-04. Payroll month 2026-07. Amendment resolves conflict only if approved, effective month <= payroll month, amount equals payroll record's gross pay. Yes approved, 2026-04 <= 2026-07, amount 1778.50 equals payroll record gross. Thus conflict resolved. Use gross_pay 1778.50.

Authoritative case reference schedule supplied. Need select second-half because 2026-07 through 2026-12. Values:
second-half: rate 0.07, cap 4000.00, deduction 400.00, free 1100.00, upper 3300.00, middle_rate 0.14, upper_rate 0.22.

Compute employee contribution = rate * min(gross, cap). min(1778.50,4000)=1778.50. *0.07 = 124.495. Round half-up to 2 decimals = 124.50? Let's calculate: 1778.50*0.07 = 124.495 exactly. Round half-up to two decimals: 124.50 (since third decimal 5). Yes.

Allowed deduction 0.00. Must not exceed deduction cap 400 or gross minus rounded contribution = 1778.50 - 124.50 = 1654.00. 0 ok.

Taxable pay = gross - employee contribution - allowed deduction = 1778.50 - 124.50 - 0 = 1654.00. Wait subtract rounded contribution. Yes.

Income tax progressive: taxable 1654.00. Tax-free amount 1100.00. Portion above free up to upper bracket boundary? Need interpret upper bracket begins 3300.00. Taxable up to free untaxed. Portion above free up to upper boundary uses middle rate. Since taxable 1654 < upper 3300, entire above free 554.00 taxed at middle 0.14. Income tax = 554*0.14 = 77.56. Round 77.56. No upper.

Net pay = gross - employee contribution - allowed deduction - income tax = 1778.50 - 124.50 - 0 - 77.56 = 1576.44. Check: 1778.50 - 124.50 = 1654.00; -77.56 = 1576.44.

Need return decision calculate, currency LCR, fields as strings two decimals. clauses: calculated answers cite R1 through R6, and also R9 only when amendment needed to resolve conflict. Here amendment needed to resolve contract conflict? The contract gross differs from payroll. Amendment resolves. R9 needed. So clauses include R1,R2,R3,R4,R5,R6,R9. Need only clauses that directly govern answer. The instruction says "Use exactly required answer fields and only the clauses that directly govern the answer." For calculate, required fields: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted. We can include explanation? Probably not necessary. Need JSON object no markdown. Ensure money strings two decimals. Clauses array? likely list of strings. Use "clauses": ["R1","R2","R3","R4","R5","R6","R9"]. Need maybe R7? No, conflict resolved. R9 yes. R1 for reference schedule and month. R2 arithmetic. R3 contribution. R4 deduction/taxable. R5 tax. R6 net/answer. R9 amendment. Good.

Let's double-check all details.

Potential issue: Authoritative schedule first-half/second-half values replace defaults. For 2026-07 second-half. Contribution rate 0.07, cap 4000.00. Deduction cap 400.00. Tax-free 1100.00. Upper bracket begins 3300.00. Middle rate 0.14. Upper rate 0.22. We used.

Potential issue: Allowed deduction defaults to 0.00 when omitted. It's provided 0.00.

Potential issue: Contract gross_pay 2254.61 differs. Amendment approved, effective_month 2026-04 <= 2026-07, amount equals payroll record's gross_pay. It resolves conflict. Does it "does not automatically change gross pay." But conflict resolved by amendment matching payroll record, so gross_pay remains payroll record 1778.50. Good.

Potential issue: R9 says "Matching contract values require no amendment." Here contract differs. Amendment amount equals payroll record's gross_pay. It resolves. Yes.

Potential issue: "Calculated answers cite R1 through R6, and also R9 only when an amendment is needed to resolve a conflict." So include R9.

Potential issue: "When showing old and current rows together, only the row covering the payroll month applies." We used second-half.

Potential issue: Rounding employee contribution: 124.495 round-half-up to two decimals. Some systems might round 124.50. Yes.

Potential issue: Income tax: "Do not round intermediate bracket products separately before summing income tax." Only one bracket product. 554*0.14 = 77.56 exactly. Good.

Potential issue: Taxable pay calculation uses rounded employee contribution. Yes R4: "Subtract both the employee contribution and the allowed deduction from gross pay to obtain taxable pay." Employee contribution is rounded under R3. So 1778.50 - 124.50 = 1654.00.

Potential issue: If contribution were 124.495 unrounded, taxable would be 1654.005, tax = (554.005*0.14)=77.5607 -> 77.56, net maybe 1576.4393 -> 1576.44. Same. But we use rounded.

Potential issue: Money fields must be strings with two decimals. We'll format.

Need final JSON only. No markdown. Include explanation? The prompt says optional explanation string is permitted. But "Use exactly the required answer fields and only the clauses..." Might not include explanation to avoid extra. Required fields include clauses. We can omit explanation. Return JSON object.

Let's ensure valid JSON. Use double quotes. Fields:
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "1778.50",
  "employee_contribution": "124.50",
  "allowed_deduction": "0.00",
  "taxable_pay": "1654.00",
  "income_tax": "77.56",
  "net_pay": "1576.44",
  "clauses": ["R1","R2","R3","R4","R5","R6","R9"]
}

Check net: 1778.50 - 124.50 = 1654.00. 1654.00 - 77.56 = 1576.44. Yes.

Let's final.

We need answer JSON only. Need process. Need carefully apply rules. Need determine if conflict? Payroll gross 1778.50, contract gross 2254.61, amendment gross 1778.50 approved effective 2026-04 <= payroll 2026-07 and amount equals payroll record's gross pay. Thus resolves conflict under R9. Calculate.

Payroll month 2026-07 => second-half row from authoritative schedule. Values: rate 0.07, cap 4000.00, deduction cap 400.00, free 1100.00, upper 3300.00, middle_rate 0.14, upper_rate 0.22.

Gross_pay = 1778.50. Employee contribution = rate * min(gross, wage cap). min(1778.50, 4000)=1778.50. 1778.50 * 0.07 = 124.495. Round half-up to two decimals = 124.50? Let's calculate: 1778.50*7/100 = 12449.5/100? Actually 1778.50*0.07 = 124.495. Round half-up at third decimal 5 -> 124.50. Yes.

Allowed deduction = 0.00. Check <= deduction cap 400 and <= gross - employee contribution = 1778.50 - 124.50 = 1654.00. OK.

Taxable pay = gross - employee contribution - allowed deduction = 1778.50 - 124.50 - 0 = 1654.00.

Income tax progressive: taxable 1654.00. Free amount 1100.00. Portion above free up to upper boundary 3300: 1654 - 1100 = 554.00. Since below upper. Tax = 554 * middle_rate 0.14 = 77.56. Round = 77.56. Total income tax 77.56.

Net pay = gross 1778.50 - employee contribution 124.50 - allowed deduction 0.00 - income tax 77.56 = 1576.44? 1778.50 - 124.50 = 1654.00; -77.56 = 1576.44. Yes.

Need clauses: calculated answers cite R1 through R6, and also R9 when amendment needed. Here amendment resolves conflict, so cite R1-R6 and R9. Need answer fields exactly: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted but not necessary. Use strings two decimals. Clauses maybe array of strings. Need no markdown. Ensure JSON valid. Money strings with two decimals. decision "calculate". currency "LCR".

Need consider if contract conflict requires clarification? R7 order: if optional contract_gross_pay present and differs, neither source takes precedence unless approved amendment resolves under R9. Here approved amendment resolves. So calculate. Need cite R9. Good.

Need ensure no input-only fields. We include only allowed fields. clauses maybe ["R1","R2","R3","R4","R5","R6","R9"]. That's okay. Maybe cite R7? Since no clarification. Calculated answers cite R1-R6 and R9 when amendment needed. Not R7. Good.

Need final only JSON.