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python - Make seaborn show a colorbar instead of a legend when using hue in a bar plot?

Let's say I want to make a bar plot where the hue of the bars represents some continuous quantity. e.g.

import seaborn as sns
titanic = sns.load_dataset("titanic")
g = titanic.groupby('pclass')
survival_rates = g['survived'].mean()
n = g.size()
ax = sns.barplot(x=n.index, y=n,
           hue=survival_rates, palette='Reds',
            dodge=False,
          )
ax.set_ylabel('n passengers')

bar plot drawn by sns

The legend here is kind of silly, and gets even worse the more bars I plot. What would make most sense is a colorbar (such as are used when calling sns.heatmap). Is there a way to make seaborn do this?

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The other answer is a bit hacky. So a more stringent solution, without producing plots that are deleted afterwards, would involve the manual creation of a ScalarMappable as input for the colorbar.

import matplotlib.pyplot as plt
import seaborn as sns
titanic = sns.load_dataset("titanic")
g = titanic.groupby('pclass')
survival_rates = g['survived'].mean()
n = g.size()

norm = plt.Normalize(survival_rates.min(), survival_rates.max())
sm = plt.cm.ScalarMappable(cmap="Reds", norm=norm)
sm.set_array([])

ax = sns.barplot(x=n.index, y=n, hue=survival_rates, palette='Reds', 
                 dodge=False)

ax.set_ylabel('n passengers')
ax.get_legend().remove()
ax.figure.colorbar(sm)

plt.show()

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