We need answer JSON only. Need calculate payroll for 2026-10. Use authoritative schedule second-half. Need compute.

Inputs: gross_pay 1978.24, payroll_month 2026-10, allowed_deduction 82.86. No contract_gross_pay/amendment.

Schedule second-half:
rate 0.04
cap 4000.00
deduction cap 400.00
free 1200.00
upper begins 3000.00
middle_rate 0.10
upper_rate 0.22

Employee contribution = rate * min(gross, wage cap). min(1978.24,4000)=1978.24. 1978.24*0.04 = 79.1296. Round half-up to two decimals = 79.13. Need check half-up: 79.1296 -> 79.13 yes.

Allowed deduction defaults? Given 82.86. Must not exceed deduction cap 400 or gross minus rounded employee contribution = 1978.24 - 79.13 = 1899.11. 82.86 <= both. OK.

Taxable pay = gross - employee_contribution - allowed_deduction = 1978.24 - 79.13 - 82.86 = let's compute: 1978.24 - 79.13 = 1899.11. -82.86 = 1816.25. Taxable_pay 1816.25.

Income tax: taxable pay up to free 1200 untaxed. Portion above free up to upper boundary 3000 uses middle 10%. Since taxable 1816.25 < 3000, only middle on 1816.25 - 1200 = 616.25. Tax = 616.25 * 0.10 = 61.625. Round half-up to two decimals = 61.63 (since third decimal 5? 61.625 exactly, round half-up -> 61.63). Need consider "Do not round intermediate bracket products separately before summing income tax." Only one product, round total. 61.625 -> 61.63.

Net pay = gross - employee_contribution - allowed_deduction - income_tax = 1978.24 - 79.13 - 82.86 - 61.63 = 1816.25 - 61.63 = 1754.62. Let's compute: 1978.24 -79.13=1899.11; -82.86=1816.25; -61.63=1754.62.

Need output fields decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Clauses supporting calculation: R1 through R6. Since no amendment, not R9. Need include R1-R6? "Calculated answers cite R1 through R6" yes. Maybe clauses array ["R1","R2","R3","R4","R5","R6"]. Need exactly required fields. Money strings two decimals. Optional explanation permitted but not needed. Ensure no Markdown.

Let's ensure no hidden issue: authoritative schedule replaces defaults. Month 2026-10 is second-half. Yes.

Check contribution cap field in retrieval would be wage cap? Here R3 says selected wage cap. Schedule cap 4000.00. Good.

Allowed deduction cap schedule deduction 400.00. Given 82.86.

Taxable pay 1816.25. Tax-free 1200. Middle rate 0.10. Upper bracket begins 3000. No upper.

Need JSON object only. Use clauses. Could include explanation? The instruction says optional explanation permitted. We can omit.

Need ensure "only clauses that directly govern the answer". For calculation, R1-R6 all govern? R1 scope/ref row, R2 arithmetic, R3 contribution, R4 deduction/taxable, R5 income tax, R6 net. Yes.

Final.

We need answer JSON only. Need process. Need be careful. We have payroll record gross_pay 1978.24, payroll_month 2026-10, allowed_deduction 82.86. Authoritative schedule supplied. Need select second-half row for 2026-10. Values replace defaults: rate 0.04, cap 4000.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle_rate 0.10, upper_rate 0.22.

Need calculate. Check R7: missing gross no, month yes, applicable row yes. contract_gross_pay absent. amendment absent. allowed deduction 82.86 <= deduction cap 400 and <= gross minus employee contribution. Need compute employee contribution = rate * min(gross, cap) = 0.04 * min(1978.24, 4000.00) = 0.04*1978.24 = 79.1296. Round half-up to 2 decimals: 79.13? Let's calculate: 1978.24 * 4 /100 = 7912.96/100 = 79.1296. Third decimal 9, round 79.13 yes.

Allowed deduction 82.86. Taxable pay = gross - employee contribution - allowed deduction = 1978.24 - 79.13 - 82.86 = 1978.24 - 161.99 = 1816.25. Let's sum 79.13+82.86=161.99. taxable 1816.25.

Income tax progressive: taxable 1816.25 <= free 1200? Actually free 1200. Taxable pay up to 1200 untaxed. Portion above free up to upper boundary 3000 uses middle rate 0.10. Since 1816.25 between 1200 and 3000, tax = (1816.25 - 1200) * 0.10 = 616.25 * 0.10 = 61.625. Round half-up to 2 decimals = 61.63? 61.625, third decimal 5, round half-up to 61.63. Need not round intermediate bracket products separately before summing. Only one product. income_tax 61.63.

Net pay = gross - employee contribution - allowed deduction - income tax = 1978.24 - 79.13 - 82.86 - 61.63 = 1978.24 - 223.62 = 1754.62? Let's compute: 79.13+82.86=161.99; +61.63=223.62; 1978.24-223.62=1754.62.

Need clauses. Calculated answers cite R1 through R6. Also R9 only when amendment needed. No amendment. So clauses likely ["R1","R2","R3","R4","R5","R6"]. Need answer fields: calculate uses decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted but not necessary. Need exactly required fields and only clauses that directly govern. Could include R1-R6. Need no markdown. Money strings two decimals. Ensure allowed_deduction "82.86". currency "LCR". decision "calculate".

Need ensure no input-only fields. Good.

Let's double-check if authoritative schedule's first-half/second-half values replace defaults. Yes. For 2026-10 second-half. Contribution rate 0.04. Wage cap 4000. Deduction cap 400. Tax-free 1200. Upper bracket begins 3000. Middle 0.10. Upper 0.22.

Potential nuance: R4 allowed_deduction must not exceed gross pay minus rounded employee contribution. Gross 1978.24 - 79.13 = 1899.11, 82.86 ok.

Potential nuance: If allowed deduction omitted default 0.00. Here present.

Potential nuance: R2 input money at most two fractional digits. 1978.24, 82.86 ok. Schedule values ok.

Potential nuance: Rounding of employee contribution: 79.1296 round half-up. Need confirm half-up: 79.13. Yes.

Potential nuance: Taxable pay maybe should round? R4 says subtract both to obtain taxable pay. R2 arithmetic round monetary calculation results to two decimals. Employee contribution rounded, allowed deduction input, gross input, so taxable pay exact 1816.25. Good.

Potential nuance: Income tax: taxable pay up to tax-free amount untaxed. "The portion above that amount up to the upper-bracket boundary uses middle rate." Upper bracket begins 3000. For 1816.25, portion above free = 616.25. Tax = 61.625. Round half-up to 61.63. Good.

Potential nuance: Could income tax be computed on taxable pay after rounding? Taxable pay 1816.25. Yes.

Potential nuance: Net pay = gross - employee contribution - allowed deduction - rounded income tax. 1978.24 - 79.13 - 82.86 - 61.63 = 1754.62. Yes.

Need final JSON. No markdown. Use exact fields. Clauses array. Maybe order as specified: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Good.

Let's produce.

We need answer JSON only. Need process. Need be careful. We have payroll record gross_pay 1978.24, payroll_month 2026-10, allowed_deduction 82.86. Authoritative case reference schedule supplied. Need use second-half row for 2026-10. Values replace defaults: rate 0.04, cap 4000.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle_rate 0.10, upper_rate 0.22.

Need calculate.

Check required: gross_pay present, payroll_month present. Month 2026-10 covered by second-half. No contract_gross_pay. No amendment. Allowed deduction 82.86. Need ensure <= deduction cap 400 and <= gross - employee contribution. Employee contribution = rate * min(gross, cap). Gross 1978.24 < cap 4000.00. Contribution = 0.04 * 1978.24 = 79.1296. Round half-up to two decimals = 79.13 (since third decimal 9? Let's compute: 1978.24*4/100 = 7912.96/100 = 79.1296. Two decimals: 79.13 because 79.1296 -> hundredths 2? Actually 79.1296: digits 79 . 1 2 9 6. To two decimals, look at third decimal 9, round up 79.13. Yes.)

Allowed deduction = 82.86. Check <= cap 400.00 yes. Check <= gross - rounded employee contribution = 1978.24 - 79.13 = 1899.11. 82.86 <= yes.

Taxable pay = gross - employee contribution - allowed deduction = 1978.24 - 79.13 - 82.86 = let's compute. 1978.24 - 79.13 = 1899.11. 1899.11 - 82.86 = 1816.25. Yes.

Income tax progressive:
Taxable pay 1816.25. Tax-free amount 1200.00. So taxable above free = 616.25. Upper bracket begins at 3000.00. Since taxable pay 1816.25 < 3000, all above free at middle rate 0.10. Tax = 616.25 * 0.10 = 61.625. Round half-up to two decimals = 61.63? 61.625 -> third decimal 5, round half-up => 61.63. Need not round intermediate products separately before summing. Here one product. So income_tax 61.63.

Net pay = gross - employee contribution - allowed deduction - income tax = 1978.24 - 79.13 - 82.86 - 61.63. Let's compute: 1978.24 - 79.13 = 1899.11. -82.86 = 1816.25. -61.63 = 1754.62. Alternatively taxable 1816.25 - tax 61.63 = 1754.62. Yes.

Need return decision calculate, currency LCR, fields as strings two decimals: gross_pay "1978.24", employee_contribution "79.13", allowed_deduction "82.86", taxable_pay "1816.25", income_tax "61.63", net_pay "1754.62", clauses. Need cite R1-R6. Since no amendment, not R9. Need exactly required answer fields and only clauses that directly govern answer. Clauses maybe ["R1","R2","R3","R4","R5","R6"]. The instruction says calculated answers cite R1 through R6. So include all.

Need ensure no Markdown, no surrounding prose. Optional explanation permitted but not necessary. Must use exactly required answer fields. For calculate uses decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. No explanation? Could include optional explanation but maybe not. Need return one JSON object. Ensure money strings with two decimals.

Let's double-check all arithmetic and rounding.

Employee contribution: 1978.24 * 0.04 = 79.1296 -> round half-up to 2 decimals. Standard round half-up: 79.13. Yes.

Taxable pay: 1978.24 - 79.13 - 82.86 = 1816.25. Yes.

Tax: taxable pay 1816.25. Free 1200.00. Excess 616.25. Middle rate 0.10. 61.625. Round half-up: 61.63. Yes.

Net: 1978.24 - 79.13 - 82.86 - 61.63 = 1754.62. 1978.24 - 79.13 = 1899.11. 1899.11 - 82.86 = 1816.25. 1816.25 - 61.63 = 1754.62. Yes.

Check allowed deduction cap: 82.86 <= 400.00. Available pay check: gross - rounded employee contribution = 1899.11. 82.86 <= 1899.11. Good.

Need maybe cite R4 for allowed deduction. R5 for tax. R6 for net. R1 for reference schedule. R2 for rounding. R3 for contribution.

No need to mention schedule replacement? Clauses R1.

Need output JSON. Ensure no trailing commas.

Let's craft final.