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How many working days in year 1986?
Here is the detail of the calculation:
Because 1986 is not a leap year, it has 365 days.
Let's remove 52 saturdays and 52 sundays. It remains 261 days.
Now, let's remove 13 public holidays that do not fall during a weekend and we obtain 248 working days in 1986.
 Here is the list of these 13 public holidays: 
 
 1. New Year's Day : Wednesday, 1 January, 1986 
2. Coming of Age Day : Monday, 13 January, 1986 
3. Foundation Day : Tuesday, 11 February, 1986 
4. Vernal Equinox Day : Thursday, 20 March, 1986 
5. Shōwa Day : Tuesday, 29 April, 1986 
6. Children's Day : Monday, 5 May, 1986 
7. Marine Day : Monday, 21 July, 1986 
8. Respect-for-Aged Day : Monday, 15 September, 1986 
9. Autumnal Equinox Day : Tuesday, 23 September, 1986 
10. Health and Sports Day : Monday, 13 October, 1986 
11. Culture Day : Monday, 3 November, 1986 
12. Labor Thanksgiving Day (observance) : Monday, 24 November, 1986 
13. Emperor's Birthday : Tuesday, 23 December, 1986 
And here are the 3 public holidays falling on a weekend:
1. Constitution Memorial Day : Saturday, 3 May, 1986 
2. Greenery Day : Sunday, 4 May, 1986 
3. Labor Thanksgiving Day : Sunday, 23 November, 1986