Jay Gatsby categorizes wines into one of three clusters. The centroids of these clusters, describing the average characteristics of a wine in each cluster, are listed in the following table.

Characteristic	cluster 1	cluster 2	cluster 3
Alcohol	0.816	0.456	0.478
MalicAcid	0.173	0.235	0.11
Ash	0.786	0.459	0.147
Alcalinity	0.372	0.605	0.622
Magnesium	0.061	0.532	0.741
Flavanoids	0.72	0.62	0.437
Nonflavanoids	0.352	0.485	0.37
Proanthocyanins	0.673	0.199	0.603
ColorIntensity	0.176	0.277	0.321
Dilution	0.403	0.341	0.826
Proline	0.504	0.311	0.584

Jay has recently discovered a new wine from the Piedmont region of Italy with the following characteristics. In which cluster of wines should he place this new wine? Justify your choice with appropriate calculations.

Characteristic	New Wine
Alcohol	0.977
MalicAcid	0.942
Ash	0.16
Alcalinity	0.735
Magnesium	0.984
Flavanoids	0.549
Nonflavanoids	0.249
Proanthocyanins	0.982
ColorIntensity	0.134
Dilution	0.471
Proline	0.755

If required, round your answers to three decimal places. Do not round intermediate calculations.

Distance from new wine and Cluster 1: ?

Distance from new wine and Cluster 2: ?

Distance from new wine and Cluster 3:?