# Filter out the nonzero values in a dense axis array

**yan25y**#1

Could someone help me figuring out how to filter out the nonzero values and its corresponding keys in this dense array?

Thank you!

**yan25y**#3

Here is the quoted code for a network problem that I’m working on

```
using JuMP
using Gurobi
supply_nodes=["i1","i2","i3"]
s=[4,3,2]
s_dict=Dict()
for i in 1:length(supply_nodes)
s_dict[supply_nodes[i]]=s[i]
end
demand_nodes=["j1","j2","j3"]
d=[3,5,1]
d_dict=Dict()
for i in 1:length(demand_nodes)
d_dict[demand_nodes[i]]=d[i]
end
dist=[1 2 3;2 1 2;3 2 1]
dist_dict=Dict()
for i in 1:length(supply_nodes)
for j in 1:length(demand_nodes)
dist_dict[supply_nodes[i],demand_nodes[j]]=dist[i,j]
end
end
Demand=5
model=Model(with_optimizer(Gurobi.Optimizer))
@variable(model,f1[supply_nodes,demand_nodes]>=0)
@constraint (model,sum(f1[i,j] for i in supply_nodes, j in demand_nodes)==Demand)
for j in demand_nodes
@constraint(model,sum(f1[i,j] for i in supply_nodes <=d_dict[j]
end
for i in supply_nodes
@constraint(model,sum(f1[i,j] for j in demand_nodes <= s_dict[i]
end
@objective(model, Min, sum(f1[i,j]*dist_dict[i,j] for i in supply_nodes, j in demand_nodes))
optimize!(model)
JuMP.value.(f1)
```

In this simplified case, nonzero f1 are obvious to see, but when I have a very large network, f1 could be a very large array, how could I filter out the nonzero elements of f1?