{"type":"excalidraw","version":2,"source":"https://AwesomeSystemDesign.dev","elements":[{"angle":0,"strokeColor":"#628572","backgroundColor":"#edf5ee","fillStyle":"solid","strokeWidth":1.5,"strokeStyle":"solid","roughness":0.7,"opacity":100,"version":1,"versionNonce":1,"isDeleted":false,"groupIds":["step-1"],"frameId":null,"roundness":null,"boundElements":[{"type":"text","id":"shape-1"}],"updated":0,"link":null,"locked":false,"id":"shape-0","type":"rectangle","seed":41,"x":30,"y":30,"width":420,"height":68,"customData":{"revealStep":1}},{"angle":0,"strokeColor":"#394557","backgroundColor":"transparent","fillStyle":"solid","strokeWidth":1.5,"strokeStyle":"solid","roughness":0.7,"opacity":100,"version":1,"versionNonce":1,"isDeleted":false,"groupIds":["step-1"],"frameId":null,"roundness":null,"boundElements":null,"updated":0,"link":null,"locked":false,"id":"shape-1","type":"text","seed":114,"x":50,"y":52.3,"width":380,"height":23.400000000000002,"fontSize":18,"fontFamily":1,"text":"Bloom 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probabilistic data structure:\n\"Key might exist\" (can be wrong — false positive)\n\"Key definitely does not exist\" (never wrong)","originalText":"A probabilistic data structure:\n\"Key might exist\" (can be wrong — false positive)\n\"Key definitely does not exist\" (never 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\"user:42\":\nhash1(\"user:42\") = 3 → set bit 3\nhash2(\"user:42\") = 7 → set bit 7\nhash3(\"user:42\") = 12 → set bit 12","originalText":"Insert \"user:42\":\nhash1(\"user:42\") = 3 → set bit 3\nhash2(\"user:42\") = 7 → set bit 7\nhash3(\"user:42\") = 12 → set bit 12","textAlign":"left","verticalAlign":"middle","containerId":"shape-6","lineHeight":1.3,"autoResize":false,"customData":{"revealStep":4}},{"angle":0,"strokeColor":"#628572","backgroundColor":"#edf5ee","fillStyle":"solid","strokeWidth":1.5,"strokeStyle":"solid","roughness":0.7,"opacity":100,"version":1,"versionNonce":1,"isDeleted":false,"groupIds":["step-5"],"frameId":null,"roundness":null,"boundElements":[{"type":"text","id":"shape-9"}],"updated":0,"link":null,"locked":false,"id":"shape-8","type":"rectangle","seed":625,"x":30,"y":501.8,"width":595.83856,"height":106.2,"customData":{"revealStep":5}},{"angle":0,"strokeColor":"#394557","backgroundColor":"transparent","fillStyle":"solid","strokeWidth":1.5,"strokeStyle":"solid","roughness":0.7,"opacity":100,"version":1,"versionNonce":1,"isDeleted":false,"groupIds":["step-5"],"frameId":null,"roundness":null,"boundElements":null,"updated":0,"link":null,"locked":false,"id":"shape-9","type":"text","seed":698,"x":50,"y":519.8,"width":555.83856,"height":70.2,"fontSize":18,"fontFamily":1,"text":"Check \"user:99\":\nhash1(\"user:99\") = 5 → bit 5 = 0 → DEFINITELY NOT HERE\n→ Skip this SSTable entirely (no disk I/O!)","originalText":"Check \"user:99\":\nhash1(\"user:99\") = 5 → bit 5 = 0 → DEFINITELY NOT HERE\n→ Skip this SSTable entirely (no disk I/O!)","textAlign":"left","verticalAlign":"middle","containerId":"shape-8","lineHeight":1.3,"autoResize":false,"customData":{"revealStep":5}},{"angle":0,"strokeColor":"#a68a53","backgroundColor":"#fff7e6","fillStyle":"solid","strokeWidth":1.5,"strokeStyle":"solid","roughness":0.7,"opacity":100,"version":1,"versionNonce":1,"isDeleted":false,"groupIds":["step-6"],"frameId":null,"roundness":null,"boundElements":[{"type":"text","id":"shape-11"}],"updated":0,"link":null,"locked":false,"id":"shape-10","type":"rectangle","seed":771,"x":30,"y":633,"width":553.23292,"height":82.80000000000001,"customData":{"revealStep":6}},{"angle":0,"strokeColor":"#394557","backgroundColor":"transparent","fillStyle":"solid","strokeWidth":1.5,"strokeStyle":"solid","roughness":0.7,"opacity":100,"version":1,"versionNonce":1,"isDeleted":false,"groupIds":["step-6"],"frameId":null,"roundness":null,"boundElements":null,"updated":0,"link":null,"locked":false,"id":"shape-11","type":"text","seed":844,"x":50,"y":651,"width":513.23292,"height":46.800000000000004,"fontSize":18,"fontFamily":1,"text":"False positive rate with 10 bits/key, 3 hash functions:\n~1% → 99% of unnecessary disk reads avoided","originalText":"False positive rate with 10 bits/key, 3 hash functions:\n~1% → 99% of unnecessary disk reads avoided","textAlign":"left","verticalAlign":"middle","containerId":"shape-10","lineHeight":1.3,"autoResize":false,"customData":{"revealStep":6}},{"angle":0,"strokeColor":"#9180ac","backgroundColor":"#f4effb","fillStyle":"solid","strokeWidth":1.5,"strokeStyle":"solid","roughness":0.7,"opacity":100,"version":1,"versionNonce":1,"isDeleted":false,"groupIds":["step-7"],"frameId":null,"roundness":null,"boundElements":[{"type":"text","id":"shape-13"}],"updated":0,"link":null,"locked":false,"id":"shape-12","type":"rectangle","seed":917,"x":30,"y":740.8,"width":495.74488,"height":82.80000000000001,"customData":{"revealStep":7}},{"angle":0,"strokeColor":"#394557","backgroundColor":"transparent","fillStyle":"solid","strokeWidth":1.5,"strokeStyle":"solid","roughness":0.7,"opacity":100,"version":1,"versionNonce":1,"isDeleted":false,"groupIds":["step-7"],"frameId":null,"roundness":null,"boundElements":null,"updated":0,"link":null,"locked":false,"id":"shape-13","type":"text","seed":990,"x":50,"y":758.8,"width":455.74488,"height":46.800000000000004,"fontSize":18,"fontFamily":1,"text":"Memory: 1.25 bytes per key\n10B keys × 1.25 bytes = ~12.5 GB (fits in RAM)","originalText":"Memory: 1.25 bytes per key\n10B keys × 1.25 bytes = ~12.5 GB (fits in RAM)","textAlign":"left","verticalAlign":"middle","containerId":"shape-12","lineHeight":1.3,"autoResize":false,"customData":{"revealStep":7}}],"appState":{"viewBackgroundColor":"#fbfbf8","gridSize":null},"files":{}}