module Graph
	require 'set'

	def add_node(label = nil)
		Node.new(label)
	end

	def add_edge(u, v, label = nil)
		e = Edge.new(u, v, label)
		u.outgoings << e
		v.incomings << e
		e
	end
	
	def del_edge(e)
		u, v = e.from, e.to
		u.outgoings.delete(e)
		v.incomings.delete(e)
		e
	end

	class Node
		def initialize(label)
			@label = label
			@outgoings = Set.new
			@incomings = Set.new
		end

		def to_nodes
			@outgoings.map(&:to)
		end

		def from_nodes
			@incomings.map(&:from)
		end
		
		attr_accessor :incomings, :outgoings
		attr_reader :label
	end

	class Edge
		def initialize(u, v, label = nil)
			@from = u	
			@to = v
			@label = label
		end
		attr_reader :from, :to, :label
	end

	def get_path_bfs(s, t)
		path_edge = {}
		reached = Set[s]
		queue = [s]
		while !queue.empty? 
			u = queue.shift
			u.outgoings.each{|e|
				v = e.to
				next if reached.include?(v)	
				reached << v
				queue << v
				path_edge[v] = e

				if v == t
					path = []
					while e = path_edge[v]
						path.unshift e
						v = e.from
					end
					return path
				end
			}
		end	
		return nil
	end

	def get_path_dfs(s, t, reached = Set.new)
		reached << s	
		s.outgoings.each{|e|
			v = e.to
			next if reached.include?(v)
			return [e] if v == t
			
			path = get_path_dfs(v, t, reached) 
			return [e] + path if path
		}
		nil
	end

	def layers_from(start)
		reached = Set[*start]
		layers = [start]

		loop {
			layers << []
			layers[-2].each{|u|
				u.to_nodes.each{|v|
					next if reached.include?(v)
					reached << v
					layers[-1] << v
				}
			}	

			if layers[-1].empty?
				layers.pop
				return layers
			end
		}
	end

	def reachable_from(s, reached = Set.new, root = true)
		reached << s	
		s.outgoings.each{|e|
			v = e.to
			next if reached.include?(v)
			reachable_from(v, reached, false) 
		}
		root ? reached : nil
	end
end

class Heap
	require 'forwardable'
	extend Forwardable

	def initialize
		@array = []
		@index = {}
	end

	def add(obj, key)
		@array << [obj, key]
		@index[obj] = @array.size - 1
		lift_up(@array.size - 1)
	end

	def swap(i, j)
		u = @array[i]
		v = @array[j]
		@index[u[0]], @index[v[0]] = j, i
		@array[i], @array[j] = v, u
	end

	def lift_up(i)
		return if i == 0
		j = (i - 1) / 2
		if @array[i][1] < @array[j][1]
			swap(i, j)
			lift_up(j)
		end
	end

	def del_min
		raise "heap is empty!" if empty?
		min = @array[0]
		if size > 1
			swap(0, @array.size-1)
			@array.pop
			lift_down(0)
		else
			@array.pop
		end
		@index.delete(min[0])
		min
	end

	def inc_key(obj, diff)
		i = @index[obj]
		@array[i][1] += diff
		lift_down(i)
	end

	def dec_key(obj, diff)
		i = @index[obj]
		@array[i][1] -= diff
		lift_up(i)
	end

	def update_key(obj, new_key)
		i = @index[obj]
		return unless i
		return if @array[i][1] <= new_key
		@array[i][1] = new_key
		lift_up(i)
	end

	def min_obj
		@array[0][0]
	end

	def min_key
		@array[0][1]
	end

	def lift_down(i)
		j = 2 * i + 1
		k = j + 1
		if k >= size
			return if j >= size
			if @array[i][1] > @array[j][1]
				swap(i, j)
				lift_down(j)
			end
		else
			l = (@array[j][1] < @array[k][1] ? j : k)
			if @array[i][1] > @array[l][1]
				swap(i, l)
				lift_down(l)
			end
		end
	end

	def_delegators :@array, :empty?, :size
end
extend Graph

n, m, c = gets.split.map(&:to_i)

nodes = [add_node(:dummy)] + (1..n).map{ add_node }
edges = {}

m.times {
	i, j, w = gets.split.map(&:to_i)
	u, v = nodes[i], nodes[j]
	add_edge(u, v, w)
	add_edge(v, u, w)
}

h = Heap.new
nodes.each{|v|
	h.add(v, Float::INFINITY)
}
h.update_key(nodes[1], 0)

require "set"
dist = {}
reached = Set[nodes[1]]

until h.size == 1
	u, key = h.del_min
	dist[u] = key
	u.outgoings.each{|e|
		v = e.to
		h.update_key(v, dist[u] + e.label)
		reached << v unless reached.include?(v)
	}
end

nodes.shift
nodes.sort_by!{|v| dist[v]}
deleted = Set.new

min = Float::INFINITY
x = 0
repair_cost = nodes.map{|v| v.outgoings.map{|e| e.label}.inject(:+)}.inject(:+) / 2
loop {
	while !nodes.empty? && dist[nodes[0]] == x
		u = nodes.shift
		u.outgoings.each{|e|
			repair_cost -= e.label if deleted.include?(e.to)
			del_edge(e)
		}
		deleted << u
	end

	create_cost = c * x
	total = create_cost + repair_cost

	min = total if total < min
	
	break if nodes.empty?	

	x = dist[nodes[0]]
}

p min

Measured memory_bytes: 284688