Make most of conflict_analysis_algo private

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Comparison is base (ba97814) 96.24% compared to head (7c6c814) 96.25%.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #35 +/- ## ======================================= Coverage 96.24% 96.25% ======================================= Files 25 25 Lines 1596 1600 +4 Branches 1155 1157 +2 ======================================= + Hits 1536 1540 +4 - Misses 10 11 +1 + Partials 50 49 -1 ``` | [Flag](https://app.codecov.io/gh/michael-veksler/solver/pull/35/flags?src=pr&el=flags&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=Michael+Veksler) | Coverage Δ | | |---|---|---| | [Linux](https://app.codecov.io/gh/michael-veksler/solver/pull/35/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=Michael+Veksler) | `61.56% <66.66%> (+0.27%)` | :arrow_up: | | [Windows](https://app.codecov.io/gh/michael-veksler/solver/pull/35/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=Michael+Veksler) | `99.21% <100.00%> (+<0.01%)` | :arrow_up: | | [macOS](https://app.codecov.io/gh/michael-veksler/solver/pull/35/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=Michael+Veksler) | `35.54% <33.33%> (+0.17%)` | :arrow_up: | Flags with carried forward coverage won't be shown. [Click here](https://docs.codecov.io/docs/carryforward-flags?utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=Michael+Veksler#carryforward-flags-in-the-pull-request-comment) to find out more.

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