Transform an ecozone raster to vector

Question

I want to transform a ee.Iamge that descripbe the ecozone of a specific country to a vector. I try to reproduce this example but I cannot get anything else than black vector...

//load the country 
var country = ee.FeatureCollection('USDOS/LSIB_SIMPLE/2017').filter(ee.Filter.eq('country_co', 'CG'));

//load the ecozones
var gez_2010 = ee.Image('users/bornToBeAlive/gez_2010_wgs84')
var country_gez_2010 =  gez_2010.select('b1').clip(country)

country_gez_2010 has only one band b1 with int values from 0 to 21.

//construct the zones  
var zones = country_gez_2010.eq(0)
var i
for (i=1; i<21;i++){
    zones = zones.add(country_gez_2010.eq(i))
}

//Convert the ecozones to vectors.
var vectors = zones.addBands(country_gez_2010).reduceToVectors({
    'geometry': country,
    'crs': country_gez_2010.projection(),
    'scale': 100,
    'geometryType': 'polygon',
    'eightConnected': false,
    'labelProperty': 'ecozone',
    'reducer': ee.Reducer.min(),
    'maxPixels': 1e9
})

//display it on the map
var display = ee.Image(0).updateMask(0).paint(vectors, '000000');
Map.addLayer(display, {palette: '000000'}, 'vectors');

I'm doubting on the zones definition and the reducer selection but maybe it's something else

Answer 1

I change the reducer to a more appropriate one

// Run reduceToVectors per class by masking all other classes.
var classes = country_gez_2010.reduceToVectors({
  reducer: ee.Reducer.countEvery(), 
  geometry: country, 
  scale: 100,
  maxPixels: 1e10
});
var result = ee.FeatureCollection(classes);
Map.addLayer(result);

it leads to the exact definition of my ecozones