Add disarium-number module: loop, String and stream approaches, dry run, counts to 10^8

Co-Authored-By: Claude Sonnet 5.5 <[email protected]>
Claude-Session: https://claude.ai/code/session_017ic4b4VQVEJWetTT1dYzyJ

disarium-number/output/01-check-and-series.txt

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+  89  ->  Disarium
+ 135  ->  Disarium
+ 175  ->  Disarium
+ 518  ->  Disarium
+ 598  ->  Disarium
+  24  ->  NOT Disarium
+ 100  ->  NOT Disarium
+
+Disarium numbers up to 1000: 1 2 3 4 5 6 7 8 9 89 135 175 518 598

disarium-number/output/02-list-1-to-1000.txt

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+count=14
+1 2 3 4 5 6 7 8 9 89 135 175 518 598

disarium-number/output/03-dry-run.txt

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+175 = 1^1 + 7^2 + 5^3 = 1 + 49 + 125 = 175  -> Disarium
+89 = 8^1 + 9^2 = 8 + 81 = 89  -> Disarium
+135 = 1^1 + 3^2 + 5^3 = 1 + 9 + 125 = 135  -> Disarium
+24 = 2^1 + 4^2 = 2 + 16 = 18  -> NOT Disarium (18 != 24)
+100 = 1^1 + 0^2 + 0^3 = 1 + 0 + 0 = 1  -> NOT Disarium (1 != 100)

disarium-number/output/04-approaches-agree.txt

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+compared original, loop, String, stream, log10 for 1..1000000: disagreements=0

disarium-number/output/05-log10-digit-count.txt

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+log10 vs loop digit count around every power of ten: mismatches=0

disarium-number/output/06-count-to-10-pow-8.txt

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+up to 10^1: 9
+up to 10^2: 10
+up to 10^3: 14
+up to 10^4: 17
+up to 10^5: 17
+up to 10^6: 17
+up to 10^7: 18
+up to 10^8: 18
+found at or above 1000: 1306 1676 2427 2646798

disarium-number/output/07-test-results.txt

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+PASS DisariumTest.allApproachesAgreeUpTo200000
+PASS DisariumTest.dryRunOf175
+PASS DisariumTest.dryRunOf24
+PASS DisariumTest.zeroAndNegativesAreNotDisarium
+PASS DisariumTest.biggerKnownOnes
+PASS DisariumTest.listUpTo1000
+6 tests, 0 failures