func main()
	var n: int :: cui@inputInt()
	var m: int :: cui@inputInt()
	var a: []int :: #[m]int
	var b: []int :: #[m]int
	var c: []int :: #[m]int
	for i(0, m - 1)
		do a[i] :: cui@inputInt() - 1
		do b[i] :: cui@inputInt() - 1
		do c[i] :: cui@inputInt()
	end for
	
	var t: []int :: #[n]int
	for i(0, n - 1)
		do t[i] :: cui@inputInt()
	end for
	
	var cc: [][]int :: #[n, n]int
	var neighbor: [][]int :: #[n, 0]int
	for i(0, m - 1)
		do neighbor[a[i]] :~ [b[i]]
		do neighbor[b[i]] :~ [a[i]]
		do cc[a[i]][b[i]] :: c[i]
		do cc[b[i]][a[i]] :: c[i]
	end for
	
	var used: []bool :: #[1001 * n + n]bool
	var dist: []int :: [lib@intMax].repeat(1001 * n + n)
	do dist[0] :: 0
	
	var q: @Set :: #@Set
	do q.add(0)
	while loop(q.size() <> 0)
		var uVal: int :: q.begin().key
		do q.del(uVal)
		var u: int :: uVal % 10 ^ 6
		if(used[u])
			skip loop
		end if
		do used[u] :: true
		var posU: int :: u % n
		var pUt: int :: u / n + t[posU]
		for i(0, ^neighbor[posU] - 1)
			var posV: int :: neighbor[posU][i]
			var pV: int :: [pUt, 1001].min()
			var v: int :: pV * n + posV
			var alt: int :: dist[u] + cc[posU][posV] / pUt + t[posU]
			if(alt < dist[v])
				do dist[v] :: alt
				var vVal: int :: alt * 10 ^ 6 + v
				do q.add(vVal)
			end if
		end for
	end while
	
	var ans: int :: lib@intMax
	for i(0, 1001)
		do ans :: [ans, dist[i * n + n - 1]].min()
	end for
	do cui@print("\{ans}\n")
end func

class Node()
	+var height: int
	+var key: int
	+var prev: Node
	+var next: Node
	+var lst: Node
	+var rst: Node
	+*func toStr(): []char
		ret me.key.toStr()
	end func
	+func init(key: int, prev: Node, next: Node): Node
		do me.height :: 1
		do me.key :: key
		do me.prev :: prev
		do me.next :: next
		ret me
	end func
end class

; AVL Tree
class Set()
	var root: @Node
	var change: bool
	var lMax: int
	var num: int
	+*func toStr(): []char
		ret me.toGraph(me.root, "", "")
	end func
	func toGraph(t: @Node, head: []char, bar: []char): []char
		var res: []char :: ""
		if(t <>& null)
			do res :~ me.toGraph(t.rst, head ~ "  ", "/")
			do res :~ head ~ bar ~ t.key.toStr() ~ "\n"
			do res :~ me.toGraph(t.lst, head ~ "  ", "`")
		end if
		ret res
	end func
	+func size(): int
		ret me.num
	end func
	+func begin(): @Node
		var t: @Node :: me.root
		if(t =& null)
			ret null
		end if
		while(true)
			if(t.lst =& null)
				ret t
			end if
			do t :: t.lst
		end while
	end func
	+func add(key: int)
		do me.root :: me.addSub(me.root, null, key)
	end func
	func addSub(t: @Node, parent: @Node, key: int): @Node
		if(t =& null)
			var a: @Node
			do me.change :: true
			if(parent =& null)
				do a :: (#@Node).init(key, null, null)
			elif(key < parent.key)
				do a :: (#@Node).init(key, parent.prev, parent)
				if(parent.prev <>& null)
					do parent.prev.next :: a
				end if
				do parent.prev :: a
			elif(key > parent.key)
				do a :: (#@Node).init(key, parent, parent.next)
				if(parent.next <>& null)
					do parent.next.prev :: a
				end if
				do parent.next :: a
			end if
			do me.num :+ 1
			ret a
		elif(key < t.key)
			do t.lst :: me.addSub(t.lst, t, key)
			ret me.balanceL(t)
		elif(key > t.key)
			do t.rst :: me.addSub(t.rst, t, key)
			ret me.balanceR(t)
		else
			do me.change :: false
			ret t
		end if
	end func
	+func del(key: int)
		do me.root :: me.delSub(me.root, key)
	end func
	func delSub(t: @Node, key: int): @Node
		if(t =& null)
			do me.change :: false
			ret null
		elif(key < t.key)
			do t.lst :: me.delSub(t.lst, key)
			ret me.balanceR(t)
		elif(key > t.key)
			do t.rst :: me.delSub(t.rst, key)
			ret me.balanceL(t)
		else
			do me.num :- 1
			if(t.next <>& null)
				do t.next.prev :: t.prev
			end if
			if(t.prev <>& null)
				do t.prev.next :: t.next
			end if
			if(t.lst =& null)
				do me.change :: true
				ret t.rst
			else
				do t.lst :: me.delSubMax(t.lst)
				do t.key :: me.lMax
				ret me.balanceR(t)
			end if
		end if
	end func
	func delSubMax(t: @Node): @Node
		if(t.rst <>& null)
			do t.rst :: me.delSubMax(t.rst)
			ret me.balanceL(t)
		else
			do me.change :: true
			do me.lMax :: t.key
			ret t.lst
		end if
	end func
	+func find(key: int): @Node
		var t: @Node :: me.root
		while loop(t <>& null)
			if(key < t.key)
				do t :: t.lst
			elif(key > t.key)
				do t :: t.rst
			else
				break loop
			end if
		end while
		ret t
	end func
	+func exist(key: int): bool
		ret me.find(key) <>& null
	end func
	+func lower_bound(key: int): @Node
		var t: @Node :: me.root
		if(t =& null)
			ret null
		end if
		while(true)
			if(key < t.key)
				if(t.lst =& null)
					ret t
				end if
				do t :: t.lst
			elif(key > t.key)
				if(t.rst =& null)
					ret t.next
				end if
				do t :: t.rst
			else
				ret t
			end if
		end while
	end func
	func height(t: @Node): int
		ret t =& null ?(0, t.height)
	end func
	func bias(t: @Node): int
		ret me.height(t.lst) - me.height(t.rst)
	end func
	func modHeight(t: @Node)
		do t.height :: 1 + lib@max(me.height(t.lst), me.height(t.rst))
	end func
	func rotateL(v: @Node): @Node
		var u: @Node :: v.rst
		var t: @Node :: u.lst
		do u.lst :: v
		do v.rst :: t
		ret u
	end func
	func rotateR(u: @Node): @Node
		var v: @Node :: u.lst
		var t: @Node :: v.rst
		do v.rst :: u
		do u.lst :: t
		ret v
	end func
	func rotateLR(t: @Node): @Node
		do t.lst :: me.rotateL(t.lst)
		ret me.rotateR(t)
	end func
	func rotateRL(t: @Node): @Node
		do t.rst :: me.rotateR(t.rst)
		ret me.rotateL(t)
	end func
	func balanceL(t: @Node): @Node
		if(!me.change)
			ret t
		end if
		var h: int :: me.height(t)
		if(me.bias(t) = 2)
			if(me.bias(t.lst) >= 0)
				do t :: me.rotateR(t)
			else
				do t :: me.rotateLR(t)
			end if
		else
			do me.modHeight(t)
		end if
		do me.change :: h <> me.height(t)
		ret t
	end func
	func balanceR(t: @Node): @Node
		if(!me.change)
			ret t
		end if
		var h: int :: me.height(t)
		if(me.bias(t) = -2)
			if(me.bias(t.rst) <= 0)
				do t :: me.rotateL(t)
			else
				do t :: me.rotateRL(t)
			end if
		else
			do me.modHeight(t)
		end if
		do me.change :: h <> me.height(t)
		ret t
	end func
end class