Overview: 1 questions will be solved this time.Among them
☆1 integer calculations
[1/1 Integer column vertical calculation]
Question type: Integer multiplication
Original question: 31511003322280295012306645694213720972414163091456*31511003322280295012306645694213720972414163091456>6x | + | | 6 | y | + | | 6 | z | = | | 300 | (4) | ,然后再同时用第 (2) 等式两边 减去 等式(4)两边,方程组化为:
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| -6 | y | | - | 21 2 | z | Solution: 31511003322280295012306645694213720972414163091456*31511003322280295012306645694213720972414163091456 = 992943330376759789811948052000015098140620325152274385526905501682211076642044533496788391020199936 Column vertical calculation:
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3 | 1 | 5 | 1 | 1 | 0 | 0 | 3 | 3 | 2 | 2 | 2 | 8 | 0 | 2 | 9 | 5 | 0 | 1 | 2 | 3 | 0 | 6 | 6 | 4 | 5 | 6 | 9 | 4 | 2 | 1 | 3 | 7 | 2 | 0 | 9 | 7 | 2 | 4 | 1 | 4 | 1 | 6 | 3 | 0 | 9 | 1 | 4 | 5 | 6 | | ✖ | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3 | 1 | 5 | 1 | 1 | 0 | 0 | 3 | 3 | 2 | 2 | 2 | 8 | 0 | 2 | 9 | 5 | 0 | 1 | 2 | 3 | 0 | 6 | 6 | 4 | 5 | 6 | 9 | 4 | 2 | 1 | 3 | 7 | 2 | 0 | 9 | 7 | 2 | 4 | 1 | 4 | 1 | 6 | 3 | 0 | 9 | 1 | 4 | 5 | 6 |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 8 | 9 | 0 | 6 | 6 | 0 | 1 | 9 | 9 | 3 | 3 | 6 | 8 | 1 | 7 | 7 | 0 | 0 | 7 | 3 | 8 | 3 | 9 | 8 | 7 | 4 | 1 | 6 | 5 | 2 | 8 | 2 | 3 | 2 | 5 | 8 | 3 | 4 | 4 | 8 | 4 | 9 | 7 | 8 | 5 | 4 | 8 | 7 | 3 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 5 | 7 | 5 | 5 | 5 | 0 | 1 | 6 | 6 | 1 | 1 | 4 | 0 | 1 | 4 | 7 | 5 | 0 | 6 | 1 | 5 | 3 | 3 | 2 | 2 | 8 | 4 | 7 | 1 | 0 | 6 | 8 | 6 | 0 | 4 | 8 | 6 | 2 | 0 | 7 | 0 | 8 | 1 | 5 | 4 | 5 | 7 | 2 | 8 | 0 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 2 | 6 | 0 | 4 | 4 | 0 | 1 | 3 | 2 | 8 | 9 | 1 | 2 | 1 | 1 | 8 | 0 | 0 | 4 | 9 | 2 | 2 | 6 | 5 | 8 | 2 | 7 | 7 | 6 | 8 | 5 | 4 | 8 | 8 | 3 | 8 | 8 | 9 | 6 | 5 | 6 | 6 | 5 | 2 | 3 | 6 | 5 | 8 | 2 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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2 | 6 | 5 | 8 | 2 | 7 | 7 | 6 | 8 | 5 | 4 | 8 | 8 | 3 | 8 | 8 | 9 | 6 | 5 | 6 | 6 | 5 | 2 | 3 | 6 | 5 | 8 | 2 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3 | 1 | 5 | 1 | 1 | 0 | 0 | 3 | 3 | 2 | 2 | 2 | 8 | 0 | 2 | 9 | 5 | 0 | 1 | 2 | 3 | 0 | 6 | 6 | 4 | 5 | 6 | 9 | 4 | 2 | 1 | 3 | 7 | 2 | 0 | 9 | 7 | 2 | 4 | 1 | 4 | 1 | 6 | 3 | 0 | 9 | 1 | 4 | 5 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 2 | 6 | 0 | 4 | 4 | 0 | 1 | 3 | 2 | 8 | 9 | 1 | 2 | 1 | 1 | 8 | 0 | 0 | 4 | 9 | 2 | 2 | 6 | 5 | 8 | 2 | 7 | 7 | 6 | 8 | 5 | 4 | 8 | 8 | 3 | 8 | 8 | 9 | 6 | 5 | 6 | 6 | 5 | 2 | 3 | 6 | 5 | 8 | 2 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | 3 | 0 | 2 | 2 | 0 | 0 | 6 | 6 | 4 | 4 | 5 | 6 | 0 | 5 | 9 | 0 | 0 | 2 | 4 | 6 | 1 | 3 | 2 | 9 | 1 | 3 | 8 | 8 | 4 | 2 | 7 | 4 | 4 | 1 | 9 | 4 | 4 | 8 | 2 | 8 | 3 | 2 | 6 | 1 | 8 | 2 | 9 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 2 | 2 | 0 | 5 | 7 | 7 | 0 | 2 | 3 | 2 | 5 | 5 | 9 | 6 | 2 | 0 | 6 | 5 | 0 | 8 | 6 | 1 | 4 | 6 | 5 | 1 | 9 | 8 | 5 | 9 | 4 | 9 | 6 | 0 | 4 | 6 | 8 | 0 | 6 | 8 | 9 | 9 | 1 | 4 | 1 | 6 | 4 | 0 | 1 | 9 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 2 | 8 | 3 | 5 | 9 | 9 | 0 | 2 | 9 | 9 | 0 | 0 | 5 | 2 | 2 | 6 | 5 | 5 | 1 | 1 | 0 | 7 | 5 | 9 | 8 | 1 | 1 | 2 | 4 | 7 | 9 | 2 | 3 | 4 | 8 | 8 | 7 | 5 | 1 | 7 | 2 | 7 | 4 | 6 | 7 | 8 | 2 | 3 | 1 | 0 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | 3 | 0 | 2 | 2 | 0 | 0 | 6 | 6 | 4 | 4 | 5 | 6 | 0 | 5 | 9 | 0 | 0 | 2 | 4 | 6 | 1 | 3 | 2 | 9 | 1 | 3 | 8 | 8 | 4 | 2 | 7 | 4 | 4 | 1 | 9 | 4 | 4 | 8 | 2 | 8 | 3 | 2 | 6 | 1 | 8 | 2 | 9 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 2 | 2 | 0 | 5 | 7 | 7 | 0 | 2 | 3 | 2 | 5 | 5 | 9 | 6 | 2 | 0 | 6 | 5 | 0 | 8 | 6 | 1 | 4 | 6 | 5 | 1 | 9 | 8 | 5 | 9 | 4 | 9 | 6 | 0 | 4 | 6 | 8 | 0 | 6 | 8 | 9 | 9 | 1 | 4 | 1 | 6 | 4 | 0 | 1 | 9 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 9 | 4 | 5 | 3 | 3 | 0 | 0 | 9 | 9 | 6 | 6 | 8 | 4 | 0 | 8 | 8 | 5 | 0 | 3 | 6 | 9 | 1 | 9 | 9 | 3 | 7 | 0 | 8 | 2 | 6 | 4 | 1 | 1 | 6 | 2 | 9 | 1 | 7 | 2 | 4 | 2 | 4 | 8 | 9 | 2 | 7 | 4 | 3 | 6 | 8 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3 | 1 | 5 | 1 | 1 | 0 | 0 | 3 | 3 | 2 | 2 | 2 | 8 | 0 | 2 | 9 | 5 | 0 | 1 | 2 | 3 | 0 | 6 | 6 | 4 | 5 | 6 | 9 | 4 | 2 | 1 | 3 | 7 | 2 | 0 | 9 | 7 | 2 | 4 | 1 | 4 | 1 | 6 | 3 | 0 | 9 | 1 | 4 | 5 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | 3 | 0 | 2 | 2 | 0 | 0 | 6 | 6 | 4 | 4 | 5 | 6 | 0 | 5 | 9 | 0 | 0 | 2 | 4 | 6 | 1 | 3 | 2 | 9 | 1 | 3 | 8 | 8 | 4 | 2 | 7 | 4 | 4 | 1 | 9 | 4 | 4 | 8 | 2 | 8 | 3 | 2 | 6 | 1 | 8 | 2 | 9 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 2 | 6 | 0 | 4 | 4 | 0 | 1 | 3 | 2 | 8 | 9 | 1 | 2 | 1 | 1 | 8 | 0 | 0 | 4 | 9 | 2 | 2 | 6 | 5 | 8 | 2 | 7 | 7 | 6 | 8 | 5 | 4 | 8 | 8 | 3 | 8 | 8 | 9 | 6 | 5 | 6 | 6 | 5 | 2 | 3 | 6 | 5 | 8 | 2 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 2 | 8 | 3 | 5 | 9 | 9 | 0 | 2 | 9 | 9 | 0 | 0 | 5 | 2 | 2 | 6 | 5 | 5 | 1 | 1 | 0 | 7 | 5 | 9 | 8 | 1 | 1 | 2 | 4 | 7 | 9 | 2 | 3 | 4 | 8 | 8 | 7 | 5 | 1 | 7 | 2 | 7 | 4 | 6 | 7 | 8 | 2 | 3 | 1 | 0 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 8 | 9 | 0 | 6 | 6 | 0 | 1 | 9 | 9 | 3 | 3 | 6 | 8 | 1 | 7 | 7 | 0 | 0 | 7 | 3 | 8 | 3 | 9 | 8 | 7 | 4 | 1 | 6 | 5 | 2 | 8 | 2 | 3 | 2 | 5 | 8 | 3 | 4 | 4 | 8 | 4 | 9 | 7 | 8 | 5 | 4 | 8 | 7 | 3 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 5 | 7 | 5 | 5 | 5 | 0 | 1 | 6 | 6 | 1 | 1 | 4 | 0 | 1 | 4 | 7 | 5 | 0 | 6 | 1 | 5 | 3 | 3 | 2 | 2 | 8 | 4 | 7 | 1 | 0 | 6 | 8 | 6 | 0 | 4 | 8 | 6 | 2 | 0 | 7 | 0 | 8 | 1 | 5 | 4 | 5 | 7 | 2 | 8 | 0 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 2 | 6 | 0 | 4 | 4 | 0 | 1 | 3 | 2 | 8 | 9 | 1 | 2 | 1 | 1 | 8 | 0 | 0 | 4 | 9 | 2 | 2 | 6 | 5 | 8 | 2 | 7 | 7 | 6 | 8 | 5 | 4 | 8 | 8 | 3 | 8 | 8 | 9 | 6 | 5 | 6 | 6 | 5 | 2 | 3 | 6 | 5 | 8 | 2 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 8 | 9 | 0 | 6 | 6 | 0 | 1 | 9 | 9 | 3 | 3 | 6 | 8 | 1 | 7 | 7 | 0 | 0 | 7 | 3 | 8 | 3 | 9 | 8 | 7 | 4 | 1 | 6 | 5 | 2 | 8 | 2 | 3 | 2 | 5 | 8 | 3 | 4 | 4 | 8 | 4 | 9 | 7 | 8 | 5 | 4 | 8 | 7 | 3 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 8 | 9 | 0 | 6 | 6 | 0 | 1 | 9 | 9 | 3 | 3 | 6 | 8 | 1 | 7 | 7 | 0 | 0 | 7 | 3 | 8 | 3 | 9 | 8 | 7 | 4 | 1 | 6 | 5 | 2 | 8 | 2 | 3 | 2 | 5 | 8 | 3 | 4 | 4 | 8 | 4 | 9 | 7 | 8 | 5 | 4 | 8 | 7 | 3 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 9 | 4 | 5 | 3 | 3 | 0 | 0 | 9 | 9 | 6 | 6 | 8 | 4 | 0 | 8 | 8 | 5 | 0 | 3 | 6 | 9 | 1 | 9 | 9 | 3 | 7 | 0 | 8 | 2 | 6 | 4 | 1 | 1 | 6 | 2 | 9 | 1 | 7 | 2 | 4 | 2 | 4 | 8 | 9 | 2 | 7 | 4 | 3 | 6 | 8 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | 3 | 0 | 2 | 2 | 0 | 0 | 6 | 6 | 4 | 4 | 5 | 6 | 0 | 5 | 9 | 0 | 0 | 2 | 4 | 6 | 1 | 3 | 2 | 9 | 1 | 3 | 8 | 8 | 4 | 2 | 7 | 4 | 4 | 1 | 9 | 4 | 4 | 8 | 2 | 8 | 3 | 2 | 6 | 1 | 8 | 2 | 9 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3 | 1 | 5 | 1 | 1 | 0 | 0 | 3 | 3 | 2 | 2 | 2 | 8 | 0 | 2 | 9 | 5 | 0 | 1 | 2 | 3 | 0 | 6 | 6 | 4 | 5 | 6 | 9 | 4 | 2 | 1 | 3 | 7 | 2 | 0 | 9 | 7 | 2 | 4 | 1 | 4 | 1 | 6 | 3 | 0 | 9 | 1 | 4 | 5 | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1 | 5 | 7 | 5 | 5 | 5 | 0 | 1 | 6 | 6 | 1 | 1 | 4 | 0 | 1 | 4 | 7 | 5 | 0 | 6 | 1 | 5 | 3 | 3 | 2 | 2 | 8 | 4 | 7 | 1 | 0 | 6 | 8 | 6 | 0 | 4 | 8 | 6 | 2 | 0 | 7 | 0 | 8 | 1 | 5 | 4 | 5 | 7 | 2 | 8 | 0 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 2 | 8 | 3 | 5 | 9 | 9 | 0 | 2 | 9 | 9 | 0 | 0 | 5 | 2 | 2 | 6 | 5 | 5 | 1 | 1 | 0 | 7 | 5 | 9 | 8 | 1 | 1 | 2 | 4 | 7 | 9 | 2 | 3 | 4 | 8 | 8 | 7 | 5 | 1 | 7 | 2 | 7 | 4 | 6 | 7 | 8 | 2 | 3 | 1 | 0 | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | 3 | 0 | 2 | 2 | 0 | 0 | 6 | 6 | 4 | 4 | 5 | 6 | 0 | 5 | 9 | 0 | 0 | 2 | 4 | 6 | 1 | 3 | 2 | 9 | 1 | 3 | 8 | 8 | 4 | 2 | 7 | 4 | 4 | 1 | 9 | 4 | 4 | 8 | 2 | 8 | 3 | 2 | 6 | 1 | 8 | 2 | 9 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 2 | 5 | 2 | 0 | 8 | 8 | 0 | 2 | 6 | 5 | 7 | 8 | 2 | 4 | 2 | 3 | 6 | 0 | 0 | 9 | 8 | 4 | 5 | 3 | 1 | 6 | 5 | 5 | 5 | 3 | 7 | 0 | 9 | 7 | 6 | 7 | 7 | 7 | 9 | 3 | 1 | 3 | 3 | 0 | 4 | 7 | 3 | 1 | 6 | 4 | 8 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | 3 | 0 | 2 | 2 | 0 | 0 | 6 | 6 | 4 | 4 | 5 | 6 | 0 | 5 | 9 | 0 | 0 | 2 | 4 | 6 | 1 | 3 | 2 | 9 | 1 | 3 | 8 | 8 | 4 | 2 | 7 | 4 | 4 | 1 | 9 | 4 | 4 | 8 | 2 | 8 | 3 | 2 | 6 | 1 | 8 | 2 | 9 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | 3 | 0 | 2 | 2 | 0 | 0 | 6 | 6 | 4 | 4 | 5 | 6 | 0 | 5 | 9 | 0 | 0 | 2 | 4 | 6 | 1 | 3 | 2 | 9 | 1 | 3 | 8 | 8 | 4 | 2 | 7 | 4 | 4 | 1 | 9 | 4 | 4 | 8 | 2 | 8 | 3 | 2 | 6 | 1 | 8 | 2 | 9 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | 3 | 0 | 2 | 2 | 0 | 0 | 6 | 6 | 4 | 4 | 5 | 6 | 0 | 5 | 9 | 0 | 0 | 2 | 4 | 6 | 1 | 3 | 2 | 9 | 1 | 3 | 8 | 8 | 4 | 2 | 7 | 4 | 4 | 1 | 9 | 4 | 4 | 8 | 2 | 8 | 3 | 2 | 6 | 1 | 8 | 2 | 9 | 1 | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 9 | 4 | 5 | 3 | 3 | 0 | 0 | 9 | 9 | 6 | 6 | 8 | 4 | 0 | 8 | 8 | 5 | 0 | 3 | 6 | 9 | 1 | 9 | 9 | 3 | 7 | 0 | 8 | 2 | 6 | 4 | 1 | 1 | 6 | 2 | 9 | 1 | 7 | 2 | 4 | 2 | 4 | 8 | 9 | 2 | 7 | 4 | 3 | 6 | 8 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 9 | 4 | 5 | 3 | 3 | 0 | 0 | 9 | 9 | 6 | 6 | 8 | 4 | 0 | 8 | 8 | 5 | 0 | 3 | 6 | 9 | 1 | 9 | 9 | 3 | 7 | 0 | 8 | 2 | 6 | 4 | 1 | 1 | 6 | 2 | 9 | 1 | 7 | 2 | 4 | 2 | 4 | 8 | 9 | 2 | 7 | 4 | 3 | 6 | 8 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | | | 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