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只是简单copy到chatgpt,给出答案,不知道对不对?
To solve this problem, let's break down the steps as shown in the image.
Joe needs to place house numbers from 65 to 144, which requires a total of 205 digits. He can reuse digits from the previous sequence (1 to 64), which contains 119 digits. After reusing as many digits as possible, he needs to buy the remaining digits to complete the numbering from 65 to 144.
### Step-by-Step Calculation:
1. **Digit Breakdown for 1-64 (119 Digits)**:
- This section lists how many of each digit (0-9) Joe already has in the numbers 1-64.
- For instance, he has 17 occurrences of "1," 17 of "2," and so on.
2. **Digit Requirement for 65-144 (205 Digits)**:
- Here we see the frequency of each digit needed to complete the house numbers 65 to 144.
- For example, 63 occurrences of "1," 18 of "2," etc.
3. **Determine Shortages**:
- The "to buy" column indicates how many additional digits Joe needs beyond what he already has from 1-64.
- By comparing the counts, he identifies which digits he lacks and in what quantities:
- For example, he needs 46 more "1"s, 2 more "6"s, and so on.
4. **Total New Digits Needed**:
- Adding up all the digits in the "to buy" column gives us the total number of new digits Joe must acquire.
- According to the image, this total is **98 digits**.
### Answer:
Joe must supply a total of **98 new digits** to complete the numbering from 65 to 144, reusing as many digits as possible from the numbers 1 to 64. |
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