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Getting the maximum and the minimum with now |
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| Mar9-09, 11:17 AM | #1 |
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Getting the maximum and the minimum with now
In the following cryptarithmetic equation, each of the x’s represent a decimal digit, whether same or different, and “NOW” represents a three digit positive integer with no leading zero. Each of N, O and W represent a decimal digit, whether same or different.
(N O W) * (N O W) = (x x x x x x N O W)/1983 What are the respective minimum value and the maximum value of “NOW”? |
| Mar9-09, 12:42 PM | #2 |
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Spoiler
There are three values of NOW that satisfy the equation: 272: 272 * 272 == 146710272 / 1983 375: 375 * 375 == 278859375 / 1983 647: 647 * 647 == 830101647 / 1983 272 is the minimum and 647 is the maximum. This was found by brute force. |
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