The income statement for Duffy$$s Pest Control shows that depreciation expense was $$192$ million, EBIT was $$494$ million, and the tax rate was $30$ percent. At the beginning of the year, the balance of gross fixed assets was $$1,564$ million and net operating working capital was $$412$ million. At the end of the year, gross fixed assets was $$1,806$ million. Duffy$$s free cash flow for the year was $$407$ million.

Calculate the end$-$of$-$year balance for net operating working capital.