KAMEDA SEIKA (2220) FY2027 Q1 Earnings Report

Quick View

Executive Summary

The first quarter of the fiscal year ending March 2027 was characterized primarily by improved core profitability, with the year-on-year increase in operating income reaching +43.5%. Revenue was ¥35.37B (+4.4% YoY), operating income was ¥2.06B (+43.5%), and ordinary income was ¥2.11B (+58.4%). Meanwhile, net income attributable to owners of the parent declined sharply to ¥1.38B (-93.7% YoY), reflecting the reversal of the temporary extraordinary gains, including gain on negative goodwill arising from the step acquisition associated with the consolidation of TH FOODS, INC., which had been recorded in the same period of the previous year. Profit before tax, however, recovered to ¥2.09B. Both the domestic rice cracker business and overseas business achieved higher revenue and profits, indicating that the trend of revenue and profit growth is becoming established.

Factors Affecting Performance

【Revenue】Consolidated revenue was ¥35.37B, representing a +4.4% YoY increase. The two core segments expanded, with the Domestic Rice Cracker Business generating ¥18.24B (+3.3%) and the Overseas Business generating ¥13.65B (+8.5%), while Food generated ¥2.04B (-7.3%) and Other generated ¥3.30B (-1.0%), both declining year on year.

【Profit and Loss】Operating income was ¥2.06B (+43.5% YoY), and the operating margin improved to 5.8% from approximately 4.2% in the same period of the previous year. Segment profit in the Domestic Rice Cracker Business was ¥1.45B (+45.3%; margin of 7.9%), accounting for approximately 70% of consolidated operating income and serving as the largest growth driver. Segment profit in the Overseas Business improved substantially to ¥0.56B (+212.4%; margin of 4.1%), supported by the effects of consolidating TH FOODS. Meanwhile, the Food segment recorded profit of ¥0.096B (-31.9%), while Other posted a loss of ¥0.05B, resulting in a profit structure concentrated in the Domestic Rice Cracker Business and Overseas Business. Ordinary income was ¥2.11B (+58.4%), boosted by a surplus in non-operating income and expenses of ¥0.05B, including dividend income and foreign exchange gains. Net income was ¥1.38B (-93.7%), but this reflected the reversal of extraordinary gains, including gain on negative goodwill, recorded in the same period of the previous year; through the ordinary income level, the company achieved higher revenue and profits.

Segment Analysis

The Domestic Rice Cracker Business generated external revenue of ¥18.24B (+3.3% YoY) and segment profit of ¥1.45B (+45.3%), with its margin improving to 7.9% from 5.6% in the same period of the previous year, making it the core business accounting for approximately 70% of consolidated operating income. The Overseas Business generated external revenue of ¥13.65B (+8.5%) and segment profit of ¥0.56B (+212.4%), with its margin rising significantly to 4.1% from 1.5% in the same period of the previous year. Goodwill of ¥13.83B arose in the Overseas Business following the additional acquisition of TH FOODS, INC. in the previous fiscal year, and the emergence of integration benefits appears to have contributed to the improvement in the profit margin. Food generated external revenue of ¥2.04B (-7.3%) and segment profit of ¥0.096B (-31.9%), resulting in lower revenue and profits, while the Other Business generated external revenue of ¥3.30B (-1.0%) and shifted to a segment loss of ¥0.05B. The structure is one in which improvements in the two core businesses absorb deterioration in the two non-core businesses, with increasing profit concentration being a notable feature.

Key Financial Indicators

【Profitability】The operating margin was 5.8%, improving from approximately 4.2% in the same period of the previous year. The gross profit margin was 28.9%, and the SG&A ratio was 23.0%. The net profit margin was 3.9%; however, the figure was approximately 65% in the same period of the previous year due to the recognition of extraordinary gains, an exceptionally high level, and therefore requires caution in simple comparisons.【Cash Flow Quality】Comprehensive income attributable to owners of the parent was ¥2.47B, exceeding net income of ¥1.38B. Other comprehensive income, primarily the foreign currency translation adjustment of ¥1.18B, accounted for the difference.【Investment Efficiency】ROE was 1.4% (quarterly, non-annualized); on an annualized basis, it remained at approximately 5%. The low asset turnover ratio against total assets of ¥189.06B is a constraint on capital efficiency. The equity ratio was 56.9%, indicating that the financial foundation is centered on equity.【Financial Soundness】Although the company has interest-bearing debt, including long-term borrowings of ¥36.77B, against cash and deposits of ¥20.17B, current assets of ¥55.71B substantially exceeded current liabilities of ¥27.81B, indicating limited concern regarding short-term liquidity.

Cash Flow Analysis

As individual items in the statement of cash flows are not disclosed in this report, funding trends are analyzed based on changes in the balance sheet. Cash and deposits were ¥20.17B, down ¥0.44B from ¥20.61B in the same period of the previous year. Short-term borrowings were broadly flat at ¥6.98B versus ¥6.98B, while long-term borrowings declined from ¥38.10B to ¥36.77B, indicating a gradual decline in total interest-bearing debt. Inventories were ¥5.67B, slightly up from ¥5.36B in the same period of the previous year, suggesting an increase in working capital accompanying business expansion. Net assets increased to ¥107.65B from ¥106.47B in the same period of the previous year, supported by the accumulation of retained earnings and an increase in the foreign currency translation adjustment.

Quality of Earnings

The quality of earnings for the quarter clearly improved at the operating and ordinary income levels, while caution is required when comparing net income with the same period of the previous year. Operating income of ¥2.06B and ordinary income of ¥2.11B both increased by double digits, while non-operating income and expenses also remained positive, including dividend income of ¥0.04B and foreign exchange gains of ¥0.05B. Earnings improvement rooted in business activities was therefore the primary factor. Extraordinary losses were limited to ¥0.02B, and their impact on current-period earnings was limited. On the other hand, net income of ¥22.02B in the same period of the previous year appears to have included a significant temporary contribution from gain on negative goodwill arising from the step acquisition and other factors, resulting in a decline in current-period net income to ¥1.38B. The conversion from profit before tax of ¥2.09B to net income attributable to owners of the parent of ¥1.38B reflects a normal tax burden equivalent to the effective tax rate, and no particular concern regarding earnings quality is evident when viewing the current period on a standalone basis. Comprehensive income attributable to owners of the parent of ¥2.47B exceeded net income due to an increase in other comprehensive income, primarily the foreign currency translation adjustment of ¥1.18B, reflecting fluctuations in the yen-denominated value of overseas assets.

Earnings Forecast and Guidance

The full-year forecasts are revenue of ¥143.00B (+3.6% YoY), operating income of ¥8.30B (+10.3%), and ordinary income of ¥7.70B (+2.6%), with no revisions to the current-quarter results or dividend forecasts. Q1 progress rates were 24.7% for revenue, 24.8% for operating income, and 27.4% for ordinary income, broadly consistent with the standard quarterly progress benchmark of 25%. Operating income is progressing slightly ahead of plan, but the full-year outlook may fluctuate depending on raw material and packaging material costs, foreign exchange trends, and demand trends in the Overseas Business. Developments from the next quarter onward therefore warrant close monitoring.

Shareholder Returns

The full-year dividend forecast is ¥24.0 per share, reflecting the three-for-one stock split effective April 1, 2026; on a pre-split basis, this corresponds to ¥72. The actual dividend in the same period of the previous year was ¥15, but a simple comparison is not possible due to the impact of the stock split. The forecast payout ratio against forecast full-year EPS of ¥67.99 is approximately 35.3%, below the general sustainability benchmark of 60%. There was no revision to the dividend forecast for the quarter, and no new statement regarding a policy of increasing or reducing dividends was identified.

Risk Factors

1. Raw Material and Foreign Exchange Cost Volatility Risk: Increases in the costs of rice, fats and oils, packaging materials, energy, and other inputs, as well as foreign exchange fluctuations related to imported raw materials, could directly affect the cost of sales ratio of 71.1% and operating margin of 5.8%.

2. Sustainability of Overseas Business Profit Margins: The Overseas Business segment margin improved to 4.1%, compared with 1.5% in the same period of the previous year; however, the improvement may not be sustained depending on local demand, foreign exchange rates, and logistics costs. Goodwill of ¥16.39B associated with the consolidation of TH FOODS represents approximately 15.2% of net assets, creating the possibility of impairment if business plans are not achieved.

3. Profit Concentration Among Business Segments: The Domestic Rice Cracker Business accounts for approximately 70% of consolidated operating income, while the Food Business recorded lower revenue and profits and the Other Business shifted to a loss. If weakness in the non-core businesses continues, profit concentration may increase further.

Industry Benchmark (For Reference; Company Analysis)

Industry Benchmark (food_beverage)

Profitability and Returns

Both the operating margin and net profit margin were slightly above the industry median, placing profitability somewhat above the industry average.

Growth and Capital Efficiency

The revenue growth rate was slightly below the industry median, with the pace of revenue growth remaining at a mid-range level within the industry.

※Source: Company analysis

Key Points from the Earnings Results

1. Operating income increased +43.5% YoY, while the operating margin improved by approximately 1.6pt. Improved profitability in the Domestic Rice Cracker Business and a substantial increase in the Overseas Business margin drove the improvement in core earnings.

2. Net income declined significantly by -93.7% YoY, but this reflected the reversal of extraordinary gains in the same period of the previous year, including temporary factors related to the step acquisition. Profit through the ordinary income level remains on an upward trend. For full-year comparisons, focus should be placed on recurring profit levels.

3. Q1 progress against the full-year operating income plan was 24.8%, broadly consistent with the standard level. However, the increasing reliance on the Domestic Rice Cracker Business and Overseas Business due to weakness in the Food and Other Businesses warrants attention as a potential change in the future earnings structure.

Theoretical Share Price (Reference Value)

Sensitivity: ¥1,367–¥1,446 at ±1% for the cost of equity, and ¥1,398–¥1,411 at ±0.1 for ω.

Notes:

• Net income is substantially compressed relative to operating income due to tax burden, acquisition-related expenses, minority interests, and other factors (net income ÷ operating income: 52%). This value reflects that compression at face value; if the factors are temporary, normalized earnings may be higher.
• Because forecast ROE is below the cost of equity, the theoretical value is below book value per share.
• Net assets as of the quarter-end are used; there is a timing difference relative to the full-year forecast.

(Calculation model: Residual income model (Ohlson type; explicit five-year fade) / Interest rate reference month: 2026-07 / Mechanically calculated value based solely on publicly disclosed data; this is not a forecast of the market share price or a recommendation of any specific investment action, and does not predict or guarantee the future share price.)

---

This report is an earnings analysis document automatically generated by AI based on XBRL earnings release data. It does not recommend investment in any specific security. The industry benchmarks are reference information compiled by the Company based on publicly disclosed earnings data. Investment decisions should be made at your own responsibility, after consulting a professional as necessary.

---End of Report---

---

AI Financial Analysis

Executive Summary

FY2027 Q1 was operationally strong, with revenue growth and substantial profit-margin expansion, while the headline net-income decline reflects an exceptionally large prior-year acquisition-related gain rather than deterioration in the underlying business. Revenue increased 4.4% year on year to ¥35.37bn. Operating income rose 43.5% to ¥2.06bn, substantially outpacing sales growth. Ordinary income increased 58.4% to ¥2.11bn, aided by lower non-operating expenses and a ¥0.49bn foreign-exchange gain. Gross profit increased 8.3% to ¥10.21bn. The gross margin improved 110bp to 28.9% from 27.8%, indicating that pricing, product mix, procurement, or manufacturing efficiency more than offset cost inflation. SG&A increased only 2.0% to ¥8.15bn, below revenue growth, producing clear operating leverage. Accordingly, the operating margin expanded 150bp to 5.8% from 4.2%. Net income attributable to owners fell 93.7% to ¥1.38bn, but the prior-year comparison included a ¥210.02bn extraordinary gain, principally a ¥205.98bn gain on step acquisitions. Excluding that prior-year non-recurring gain, the current quarter demonstrates a material improvement in recurring profitability. The effective tax rate was 28.0%, broadly consistent with a normal tax burden, and there was only a ¥0.17bn extraordinary loss in the current period. Domestic rice crackers remained the largest earnings contributor, while overseas operations delivered the strongest segment-profit growth. The balance sheet remains liquid, with a 200.3% current ratio and cash equal to 2.89x short-term borrowings. Debt is meaningful because of the overseas expansion and M&A-related asset base, but leverage remains contained at 0.76x debt-to-equity and interest coverage is solid at 14.21x. Management maintained its FY2027 forecasts, implying confidence in continued growth but also requiring stronger subsequent-quarter execution because Q1 operating-income progress is below a straight-line pace. The principal strategic issue is capital efficiency: reported ROIC of 4.5% is below the 5% warning threshold and needs improvement as the company monetizes its sizable goodwill and intangible-asset base.

Profitability Analysis

Annualized DuPont ROE is 5.1%, calculated as a 3.9% net profit margin × 0.748x asset turnover × 1.76x financial leverage. This annualized ROE remains below the 8% level generally associated with adequate capital efficiency, and the largest structural constraint is the low net margin rather than excessive leverage. The Q1 net margin of 3.9% should be interpreted against the operating margin of 5.8%, as interest expense and normal tax charges reduce the final return to shareholders. The operating margin expanded 150bp year on year, while gross margin expanded 110bp, demonstrating that earnings improvement was primarily driven by improved gross profitability with additional support from SG&A discipline. SG&A rose 2.0%, materially below the 4.4% revenue increase, and the SG&A-to-sales ratio declined to 23.0% from 23.6%. This positive operating leverage is particularly constructive for a branded food manufacturer, where disciplined selling and administrative spending can convert modest sales growth into stronger earnings growth. Domestic rice crackers, the core business by segment operating-income contribution, generated ¥1.45bn of segment profit, up 45.3%, on revenue growth of 3.3% to ¥18.24bn. Its segment margin improved to 7.9% from 5.6%. Overseas segment profit rose 212.4% to ¥0.56bn, and its margin improved to 4.1% from 1.4%, indicating a sharp recovery in overseas profitability. Food segment revenue declined 7.3% to ¥2.03bn and segment profit fell 31.9% to ¥0.10bn, reducing its margin to 4.7% from 6.4%. The five-factor DuPont tax burden was 0.658, consistent with the 28.0% effective tax rate, while the interest burden exceeded 1.0x because ordinary non-operating income modestly exceeded the net interest burden. Interest coverage of 14.21x indicates that financing costs do not presently impair operating flexibility. However, the 4.5% ROIC quality alert remains material: returns on the enlarged invested-capital base have not yet reached an adequate level, so sustained margin expansion and better asset utilization are necessary.

Growth Assessment

Revenue growth of 4.4% was led by overseas sales, which increased 9.3% to ¥13.28bn, followed by domestic rice crackers, up 3.3% to ¥18.24bn. Overseas operations accounted for 37.5% of external revenue, reinforcing their importance to the group growth profile. Domestic rice crackers remained the largest business at 51.5% of external revenue and 70.5% of aggregate segment profit before eliminations, making it the core earnings base. Overseas segment profit growth materially exceeded revenue growth, suggesting that the recent expansion is beginning to generate better profitability. Other operations, including freight transport, saw revenue decline 3.3% to ¥1.83bn and moved to a ¥0.05bn segment loss from a ¥0.11bn profit. The food segment also weakened, with lower sales and profit, leaving growth concentrated in domestic rice crackers and overseas operations. The company retained its FY2027 revenue forecast of ¥143.0bn, up 3.6%, and operating-income forecast of ¥8.3bn, up 10.3%. Q1 revenue progress was 24.7% of the full-year forecast, effectively in line with the standard 25% first-quarter pace. Q1 operating-income progress was 24.8% of forecast, marginally below the standard 25% pace but not a material deviation. Q1 ordinary-income progress was 27.4% of the ¥7.7bn forecast, ahead of a straight-line pace. Q1 attributable profit progress was 32.0% of the ¥4.3bn forecast, although this metric benefits from the relationship between the current effective tax rate and the forecast earnings base. The unchanged guidance indicates management expects the Q1 margin recovery to be broadly sustainable, though delivery depends on maintaining domestic pricing and mix benefits, scaling overseas profitability, and stabilizing the smaller food and logistics-related businesses. For a food producer, commodity, packaging, energy, and imported-ingredient currency costs remain key variables affecting whether current gross-margin gains persist.

Financial Health

Liquidity is strong. Current assets of ¥55.71bn cover current liabilities of ¥27.81bn, resulting in a 200.3% current ratio and ¥27.90bn of working capital. The 179.9% quick ratio confirms that short-term obligations can be covered without reliance on inventory liquidation. Cash and deposits were ¥20.17bn, equal to 2.89x short-term loans of ¥6.98bn. Interest-bearing debt totaled ¥43.75bn, comprising ¥6.98bn of short-term loans and ¥36.77bn of long-term loans. Only 16.0% of interest-bearing debt is short term, limiting near-term refinancing and maturity-mismatch risk. Debt-to-equity was 0.76x and debt-to-capital was 28.9%, both consistent with a manageable capital structure. Long-term debt represents 19.4% of total assets and is supported by a substantial long-lived operating-asset base, including ¥65.27bn of property, plant and equipment. Interest coverage of 14.21x provides a sizeable earnings buffer against current financing costs. Goodwill was ¥16.39bn, equal to 15.2% of equity and 8.7% of assets, below the benchmark associated with elevated M&A balance-sheet dependence. Intangible assets were ¥48.51bn, or 25.7% of assets, placing the group in an IP- and acquisition-asset-heavy range; this raises the importance of successfully realizing expected returns from acquired businesses. No current impairment loss was reported. Asset retirement obligations totaled ¥3.40bn, representing a modest identifiable long-term obligation. Overall, financial flexibility is adequate, but low ROIC means debt-funded and acquisition-related capital must generate higher operating returns over time.

Notable B/S Changes

Short-term loans: -¥2.15bn (-23.5%) to ¥6.98bn — reduced short-term funding improves the debt maturity profile and lowers refinancing risk. Electronically recorded operating obligations: +¥0.51bn (+33.1%) to ¥2.06bn — a higher share of supplier obligations supports short-term working-capital funding but should be monitored alongside payment practices. Provision for bonuses: +¥0.86bn (+46.2%) to ¥2.72bn — reflects a materially higher accrued personnel-bonus obligation and raises current liabilities, though liquidity coverage remains strong. Trade receivables: -¥1.37bn (-7.4%) to ¥17.18bn — lower receivables are supportive of collection discipline and potential operating-cash conversion. Finished goods: +¥0.31bn (+5.9%) to ¥5.67bn — inventory rose modestly, requiring monitoring against sales trends, but the change is not currently large relative to total assets.

Cash Flow Quality

Operating cash flow, investing cash flow, financing cash flow, free cash flow, capital expenditure, and depreciation figures are not reported in the available financial data. Earnings-to-cash conversion and free-cash-flow coverage of dividends therefore cannot be quantified. Balance-sheet movements provide limited working-capital context: trade receivables declined by ¥1.37bn year on year to ¥17.18bn, which is supportive of cash collection, while finished-goods inventories increased by ¥0.31bn to ¥5.67bn. Raw-material inventories declined modestly by ¥0.05bn to ¥7.16bn, suggesting that the inventory increase was concentrated in finished goods rather than input-stock accumulation. Trade payables were broadly stable at ¥4.94bn, while electronically recorded operating obligations increased by ¥0.51bn to ¥2.06bn. These movements do not, by themselves, establish a working-capital manipulation concern. The current quarter's earnings quality is stronger at the income-statement level than the year-on-year net-income comparison implies, because current profit is primarily recurring operating profit whereas the prior-year result included a large non-recurring step-acquisition gain. Cash conversion should remain a central monitoring item given the capital intensity of manufacturing and the sizable intangible-asset base.

Dividend Sustainability

The FY2027 forecast dividend is ¥24.0 per share on a post-split basis. Against forecast EPS of ¥67.99, the implied dividend payout ratio is approximately 35.3%, which is comfortably below the 60% sustainability benchmark. The forecast dividend is therefore supportable from forecast accounting earnings, assuming delivery of the ¥4.3bn full-year profit attributable to owners forecast. The company conducted a three-for-one stock split effective 1 April 2026; the disclosed ¥24.0 forecast dividend incorporates that split, while the equivalent pre-split annual dividend would be ¥72.0. No dividend forecast revision was announced. No share-buyback amount is provided, so a total return ratio cannot be calculated. Free-cash-flow coverage cannot be assessed from the reported data, making operating cash generation and investment requirements important items to monitor. Given the moderate payout ratio, strong liquidity, and manageable leverage, the stated dividend appears conservatively positioned relative to earnings, although sustainable distribution capacity ultimately depends on cash conversion and improved returns on invested capital.

Risk Assessment

Business risks include Commodity and input-cost exposure: rice, other agricultural ingredients, packaging, energy, and logistics costs can pressure the 28.9% gross margin if pricing or mix improvements prove insufficient., Foreign-exchange exposure: overseas operations represent 37.5% of revenue, and Q1 included a ¥0.49bn FX gain; currency movements can affect both translated earnings and imported-input costs., Overseas execution risk: the overseas segment's profit improved sharply to ¥0.56bn, but sustaining a 4.1% margin requires successful integration, local demand execution, and cost control., Food safety, product-quality, and recall risk: as a branded food manufacturer, a quality incident could damage consumer trust, retailer relationships, and profitability., Consumer and channel risk: private-brand competition, changing snack preferences, demographic shifts, and retailer bargaining power could limit pricing power or volume growth., Portfolio concentration risk: domestic rice crackers produce 70.5% of segment profit before eliminations, while the food segment and other operations weakened in Q1..

Financial risks include Capital-efficiency risk: ROIC of 4.5% is below the 5% warning threshold, indicating that returns generated from the capital base remain inadequate., Intangible-asset realization risk: goodwill and intangible assets total ¥64.90bn, or 34.3% of total assets, making future returns dependent on acquired brands, customer relationships, and overseas growth meeting expectations., Debt-service sensitivity: interest-bearing debt is ¥43.75bn; coverage is currently strong at 14.21x, but earnings weakness or higher interest rates would reduce this cushion., Goodwill impairment risk: goodwill is moderate at 15.2% of equity, but the overseas business must continue improving profitability to protect the carrying value of acquisition-related assets..

Key concerns include ROIC root cause, context, and impact: the 4.5% ROIC alert reflects operating returns that remain modest relative to the group's invested capital, including substantial manufacturing, goodwill, and intangible assets. This is not unusual during an acquisition and overseas-expansion phase, but it is below the minimum 5% warning threshold despite Q1 operating improvement. The investment implication is that stronger margins must be sustained and asset turnover improved before the enlarged asset base can be considered fully value-accretive., The 93.7% decline in attributable profit is not indicative of a comparable deterioration in recurring earnings because the prior-year quarter included a ¥205.98bn gain on step acquisitions. Investors should focus on operating income, ordinary income, and cash generation rather than the reported year-on-year net-income decline., The smaller food segment and other operations both reported lower profit year on year, so the group-wide recovery is not yet fully broad-based., No impairment was recorded in Q1, but the sizable intangible asset base requires continued monitoring for operating underperformance in acquired or overseas businesses..

Investment Implications

Key takeaways include Recurring profitability improved decisively: operating income rose 43.5% and operating margin expanded 150bp to 5.8%., Domestic rice crackers are the core business, generating ¥1.45bn of segment profit and a 7.9% segment margin., Overseas operations delivered the strongest earnings acceleration, with segment profit increasing 212.4% to ¥0.56bn and margin reaching 4.1%., The reported net-income decline is distorted by a prior-year ¥205.98bn step-acquisition gain and should not be read as a collapse in current operating performance., Liquidity and debt-servicing capacity are sound, with a 200.3% current ratio, 0.76x debt-to-equity, and 14.21x interest coverage., The central valuation-quality issue is low 4.5% ROIC relative to the asset base, particularly goodwill and intangibles..

Metrics to watch include Operating margin and gross-margin retention following the Q1 expansion to 5.8% and 28.9%, respectively., Overseas segment revenue growth, segment margin, and the conversion of its improved profitability into sustainable returns., Domestic rice-cracker pricing, sales volume, market share, and input-cost pass-through., Food segment and other-operations profitability after their Q1 declines., ROIC improvement from 4.5%, together with asset turnover and returns generated by goodwill and intangible assets., Interest-bearing debt, interest coverage, and financing costs., Operating cash flow, free cash flow, and dividend coverage when reported..

Regarding relative positioning, Kameda Seika combines healthy food-industry gross profitability with a leading domestic rice-cracker earnings base and an increasingly material overseas platform. Its 28.9% gross margin lies within the healthy 25-40% food-industry range, while its 5.8% operating margin is improved but remains below the 8% level generally regarded as strong. Balance-sheet liquidity and leverage compare favorably with conservative solvency benchmarks, whereas the 4.5% ROIC and 25.7% intangible-assets-to-assets ratio indicate that capital efficiency, rather than financial stability, is the principal relative constraint.