Math — Chart: Algorithm Growth
Operations vs input size for different complexities.
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{
"$schema": "https://vega.github.io/schema/vega-lite/v5.json",
"description": "Algorithm growth rates",
"data": {"values": [
{"n": 10, "ops": 10, "kind": "O(n)"},
{"n": 20, "ops": 20, "kind": "O(n)"},
{"n": 40, "ops": 40, "kind": "O(n)"},
{"n": 10, "ops": 33, "kind": "O(n log n)"},
{"n": 20, "ops": 86, "kind": "O(n log n)"},
{"n": 40, "ops": 213, "kind": "O(n log n)"},
{"n": 10, "ops": 100, "kind": "O(n^2)"},
{"n": 20, "ops": 400, "kind": "O(n^2)"},
{"n": 40, "ops": 1600, "kind": "O(n^2)"}
]},
"mark": {"type": "line", "point": true},
"encoding": {
"x": {"field": "n", "type": "quantitative", "title": "input size n"},
"y": {"field": "ops", "type": "quantitative", "title": "operations"},
"color": {"field": "kind", "type": "nominal", "title": "complexity"}
}
}