sea of zeroes
.
Here's your big chance to be a hero!
Your quest will be long, forsooth.
Where will lie the Boolean of Truth?
Details and assumptions:
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Step 1) Download file
Step 2) Open notepad of said file
Step 3) Copy a couple of first few 0's from the said notepad into Microsoft word
Step 4) Delete pages 2,3,4, and so on.
Step 5) Ctrl+F and replace "0" with "z"
Step 6) Note the total number of "0"s that can fit into one page: which is 3600.
Step 7) Calculate the number of zeros in one row: 80
Step 8) Copy the entire file into a new Microsoft Word spreadsheet
Step 9) Wait for awhile because it's a large file
Step 10) Ctrl+F: Search for number 1
Step 11) Wait again
Step 12) Record page number: 5389
Step 13): See page 5389
Step 14) Calculation time:
So there's 5388 pages full of zeros + the last page which has 8 0 × 2 2 − 2 6 zeros.
The number of zeros before the number 1 is 5 3 8 8 × 3 6 0 0 + 8 0 × 2 2 − 2 6 = 1 9 3 9 8 5 3 4 .
But since we start with 0 instead of 1, we need to subtract one. Answer is 1 9 3 9 8 5 3 3 .