# scipy.spatial.distance.cityblock¶

scipy.spatial.distance.cityblock(u, v, w=None)[source]

Compute the City Block (Manhattan) distance.

Computes the Manhattan distance between two 1-D arrays u and v, which is defined as

$\sum_i {\left| u_i - v_i \right|}.$
Parameters
u(N,) array_like

Input array.

v(N,) array_like

Input array.

w(N,) array_like, optional

The weights for each value in u and v. Default is None, which gives each value a weight of 1.0

Returns
cityblockdouble

The City Block (Manhattan) distance between vectors u and v.

Examples

>>> from scipy.spatial import distance
>>> distance.cityblock([1, 0, 0], [0, 1, 0])
2
>>> distance.cityblock([1, 0, 0], [0, 2, 0])
3
>>> distance.cityblock([1, 0, 0], [1, 1, 0])
1


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