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The minimum number of record movements required to merge five files A (with 10 records), B (with 20 records), C (with 15 records), D (with 5 records) and E (with 25 records) is:
- a)165
- b)90
- c)75
- d)65
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The minimum number of record movements required to merge five files A ...
Using optimal merge pattern algorithm arrange files in increasing order of records:
D A C B E
D A C B E
5 10 15 20 25
Now, minimum number of record movements required = sum of internal node's value = 15 + 30 + 45 + 75 = 165 So, option (A) is correct.
Most Upvoted Answer
The minimum number of record movements required to merge five files A ...
Understanding File Merging
In file merging, the goal is to combine multiple files while minimizing the number of movements (or operations) required to achieve a single merged file.
Files and Their Sizes
- File A: 10 records
- File B: 20 records
- File C: 15 records
- File D: 5 records
- File E: 25 records
Calculating Total Records
The total number of records across all files is:
- Total = 10 + 20 + 15 + 5 + 25 = 75 records
Understanding Record Movements
To merge files, we must consider:
- Each record movement involves reading from one file and writing it to the merged file.
- The strategy is to minimize the number of movements by always merging the smallest files first.
Merging Strategy
1. Start by merging the smallest files:
- Merge D (5 records) and A (10 records) = 15 records (5+10)
- Movements = 5 (to read D) + 10 (to read A) = 15 movements.
2. Now merge the result with the next smallest file:
- Merge the result (15 records) with C (15 records) = 30 records.
- Movements = 15 (for the merged file) + 15 (to read C) = 30 movements.
3. Next, merge with B (20 records):
- Merge the result (30 records) with B (20 records) = 50 records.
- Movements = 30 (for the merged file) + 20 (to read B) = 50 movements.
4. Finally, merge with the largest file E (25 records):
- Merge the result (50 records) with E (25 records) = 75 records.
- Movements = 50 (for the merged file) + 25 (to read E) = 75 movements.
Total Movements Calculation
- Total movements = 15 + 30 + 50 + 75 = 165 movements.
Thus, the minimum number of record movements required to merge the five files is 165, confirming that option 'A' is correct.
In file merging, the goal is to combine multiple files while minimizing the number of movements (or operations) required to achieve a single merged file.
Files and Their Sizes
- File A: 10 records
- File B: 20 records
- File C: 15 records
- File D: 5 records
- File E: 25 records
Calculating Total Records
The total number of records across all files is:
- Total = 10 + 20 + 15 + 5 + 25 = 75 records
Understanding Record Movements
To merge files, we must consider:
- Each record movement involves reading from one file and writing it to the merged file.
- The strategy is to minimize the number of movements by always merging the smallest files first.
Merging Strategy
1. Start by merging the smallest files:
- Merge D (5 records) and A (10 records) = 15 records (5+10)
- Movements = 5 (to read D) + 10 (to read A) = 15 movements.
2. Now merge the result with the next smallest file:
- Merge the result (15 records) with C (15 records) = 30 records.
- Movements = 15 (for the merged file) + 15 (to read C) = 30 movements.
3. Next, merge with B (20 records):
- Merge the result (30 records) with B (20 records) = 50 records.
- Movements = 30 (for the merged file) + 20 (to read B) = 50 movements.
4. Finally, merge with the largest file E (25 records):
- Merge the result (50 records) with E (25 records) = 75 records.
- Movements = 50 (for the merged file) + 25 (to read E) = 75 movements.
Total Movements Calculation
- Total movements = 15 + 30 + 50 + 75 = 165 movements.
Thus, the minimum number of record movements required to merge the five files is 165, confirming that option 'A' is correct.
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Community Answer
The minimum number of record movements required to merge five files A ...
Using optimal merge pattern algorithm arrange files in increasing order of records:
D A C B E
D A C B E
5 10 15 20 25
Now, minimum number of record movements required = sum of internal node's value = 15 + 30 + 45 + 75 = 165 So, option (A) is correct.
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