Buggy python submission (verdict: Time Limit Exceeded):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                heappush(q,(alt,dst))
    return d


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d=dijkstra(g,0)
print(d[1])



Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[deque()for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])



Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]
 
n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])



Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Runtime Error):
import sys
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True


## Segment Tree ##

## Initializer Template ##
# Range Sum:        sg=SegTree(n)
# Range Minimum:    sg=SegTree(n,inf,min,inf)

class SegTree:

    def __init__(self,n,init_ls=None,init_val=0,function=lambda a,b:a+b,ide=0):
        self.n=n
        self.ide_ele=ide_ele=ide
        self.num=num=2**(n-1).bit_length()
        self.seg=seg=[self.ide_ele]*2*self.num
        self.lazy=lazy=[self.ide_ele]*2*self.num
        self.segfun=segfun=function
        #set_val
        if init_ls==None:
            for i in range(n):
                self.seg[i+self.num-1]=init_val
        else:
            for i in range(n):
                self.seg[i+self.num-1]=init_ls[i]
        #build
        for i in range(self.num-2,-1,-1):
            self.seg[i]=self.segfun(self.seg[2*i+1],self.seg[2*i+2])
    
    def update(self,k,x):
        k += self.num-1
        self.seg[k] = x
        while k:
            k = (k-1)//2
            self.seg[k] = self.segfun(self.seg[k*2+1],self.seg[k*2+2])
        
    def evaluate(k,l,r): #遅延評価処理
        if lazy[k]!=0:
            node[k]+=lazy[k]
            if(r-l>1):
                lazy[2*k+1]+=lazy[k]//2
                lazy[2*k+2]+=lazy[k]//2

        lazy[k]=0
        
    def query(self,p,q):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p = p//2
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res
    
    def find_min_index(self,p,q,m):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p >>= 1
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res


    def __str__(self):
        # 生配列を表示
        rt=self.seg[self.num-1:self.num-1+self.n]
        return str(rt)

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)

def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else inf) for i in range(n)]
    q=[(0,st)]
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                heappush(q,(alt,dst))
    return d

sx,sy,gx,gy=LI()
n=I()

c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d=dijkstra(g,0)
print(d[1])


Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True


## Segment Tree ##

## Initializer Template ##
# Range Sum:        sg=SegTree(n)
# Range Minimum:    sg=SegTree(n,inf,min,inf)

class SegTree:

    def __init__(self,n,init_ls=None,init_val=0,function=lambda a,b:a+b,ide=0):
        self.n=n
        self.ide_ele=ide_ele=ide
        self.num=num=2**(n-1).bit_length()
        self.seg=seg=[self.ide_ele]*2*self.num
        self.lazy=lazy=[self.ide_ele]*2*self.num
        self.segfun=segfun=function
        #set_val
        if init_ls==None:
            for i in range(n):
                self.seg[i+self.num-1]=init_val
        else:
            for i in range(n):
                self.seg[i+self.num-1]=init_ls[i]
        #build
        for i in range(self.num-2,-1,-1):
            self.seg[i]=self.segfun(self.seg[2*i+1],self.seg[2*i+2])
    
    def update(self,k,x):
        k += self.num-1
        self.seg[k] = x
        while k:
            k = (k-1)//2
            self.seg[k] = self.segfun(self.seg[k*2+1],self.seg[k*2+2])
        
    def evaluate(k,l,r): #遅延評価処理
        if lazy[k]!=0:
            node[k]+=lazy[k]
            if(r-l>1):
                lazy[2*k+1]+=lazy[k]//2
                lazy[2*k+2]+=lazy[k]//2

        lazy[k]=0
        
    def query(self,p,q):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p = p//2
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res
    
    def find_min_index(self,p,q,m):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p >>= 1
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res


    def __str__(self):
        # 生配列を表示
        rt=self.seg[self.num-1:self.num-1+self.n]
        return str(rt)

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)

def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else inf) for i in range(n)]
    q=[(0,st)]
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                heappush(q,(alt,dst))
    return d,0

sx,sy,gx,gy=LI()
n=I()

c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])


Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Runtime Error):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True


## Segment Tree ##

## Initializer Template ##
# Range Sum:        sg=SegTree(n)
# Range Minimum:    sg=SegTree(n,inf,min,inf)

class SegTree:

    def __init__(self,n,init_ls=None,init_val=0,function=lambda a,b:a+b,ide=0):
        self.n=n
        self.ide_ele=ide_ele=ide
        self.num=num=2**(n-1).bit_length()
        self.seg=seg=[self.ide_ele]*2*self.num
        self.lazy=lazy=[self.ide_ele]*2*self.num
        self.segfun=segfun=function
        #set_val
        if init_ls==None:
            for i in range(n):
                self.seg[i+self.num-1]=init_val
        else:
            for i in range(n):
                self.seg[i+self.num-1]=init_ls[i]
        #build
        for i in range(self.num-2,-1,-1):
            self.seg[i]=self.segfun(self.seg[2*i+1],self.seg[2*i+2])
    
    def update(self,k,x):
        k += self.num-1
        self.seg[k] = x
        while k:
            k = (k-1)//2
            self.seg[k] = self.segfun(self.seg[k*2+1],self.seg[k*2+2])
        
    def evaluate(k,l,r): #遅延評価処理
        if lazy[k]!=0:
            node[k]+=lazy[k]
            if(r-l>1):
                lazy[2*k+1]+=lazy[k]//2
                lazy[2*k+2]+=lazy[k]//2

        lazy[k]=0
        
    def query(self,p,q):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p = p//2
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res
    
    def find_min_index(self,p,q,m):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p >>= 1
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res


    def __str__(self):
        # 生配列を表示
        rt=self.seg[self.num-1:self.num-1+self.n]
        return str(rt)

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)

def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else inf) for i in range(n)]
    q=[(0,st)]
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                heappush(q,(alt,dst))
    return d,0

sx,sy,gx,gy=LI()
n=I()

c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=(x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])


Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True


## Segment Tree ##

## Initializer Template ##
# Range Sum:        sg=SegTree(n)
# Range Minimum:    sg=SegTree(n,inf,min,inf)

class SegTree:

    def __init__(self,n,init_ls=None,init_val=0,function=lambda a,b:a+b,ide=0):
        self.n=n
        self.ide_ele=ide_ele=ide
        self.num=num=2**(n-1).bit_length()
        self.seg=seg=[self.ide_ele]*2*self.num
        self.lazy=lazy=[self.ide_ele]*2*self.num
        self.segfun=segfun=function
        #set_val
        if init_ls==None:
            for i in range(n):
                self.seg[i+self.num-1]=init_val
        else:
            for i in range(n):
                self.seg[i+self.num-1]=init_ls[i]
        #build
        for i in range(self.num-2,-1,-1):
            self.seg[i]=self.segfun(self.seg[2*i+1],self.seg[2*i+2])
    
    def update(self,k,x):
        k += self.num-1
        self.seg[k] = x
        while k:
            k = (k-1)//2
            self.seg[k] = self.segfun(self.seg[k*2+1],self.seg[k*2+2])
        
    def evaluate(k,l,r): #遅延評価処理
        if lazy[k]!=0:
            node[k]+=lazy[k]
            if(r-l>1):
                lazy[2*k+1]+=lazy[k]//2
                lazy[2*k+2]+=lazy[k]//2

        lazy[k]=0
        
    def query(self,p,q):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p = p//2
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res
    
    def find_min_index(self,p,q,m):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p >>= 1
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res


    def __str__(self):
        # 生配列を表示
        rt=self.seg[self.num-1:self.num-1+self.n]
        return str(rt)

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)

def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else inf) for i in range(n)]
    q=[(0,st)]
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                heappush(q,(alt,dst))
    return d,0

sx,sy,gx,gy=LI()
n=I()

c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=max(0,((x-s)**2+(y-t)**2)**0.5 -r1 -r2)
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])


Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True


## Segment Tree ##

## Initializer Template ##
# Range Sum:        sg=SegTree(n)
# Range Minimum:    sg=SegTree(n,inf,min,inf)

class SegTree:

    def __init__(self,n,init_ls=None,init_val=0,function=lambda a,b:a+b,ide=0):
        self.n=n
        self.ide_ele=ide_ele=ide
        self.num=num=2**(n-1).bit_length()
        self.seg=seg=[self.ide_ele]*2*self.num
        self.lazy=lazy=[self.ide_ele]*2*self.num
        self.segfun=segfun=function
        #set_val
        if init_ls==None:
            for i in range(n):
                self.seg[i+self.num-1]=init_val
        else:
            for i in range(n):
                self.seg[i+self.num-1]=init_ls[i]
        #build
        for i in range(self.num-2,-1,-1):
            self.seg[i]=self.segfun(self.seg[2*i+1],self.seg[2*i+2])
    
    def update(self,k,x):
        k += self.num-1
        self.seg[k] = x
        while k:
            k = (k-1)//2
            self.seg[k] = self.segfun(self.seg[k*2+1],self.seg[k*2+2])
        
    def evaluate(k,l,r): #遅延評価処理
        if lazy[k]!=0:
            node[k]+=lazy[k]
            if(r-l>1):
                lazy[2*k+1]+=lazy[k]//2
                lazy[2*k+2]+=lazy[k]//2

        lazy[k]=0
        
    def query(self,p,q):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p = p//2
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res
    
    def find_min_index(self,p,q,m):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p >>= 1
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res


    def __str__(self):
        # 生配列を表示
        rt=self.seg[self.num-1:self.num-1+self.n]
        return str(rt)

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)

def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else inf) for i in range(n)]
    q=[(0,st)]
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                heappush(q,(alt,dst))
    return d,0

sx,sy,gx,gy=LI()
n=I()

c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
e=[]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=max(0,((x-s)**2+(y-t)**2)**0.5 -r1 -r2)
        e.append((i,j,d))

g,_=GI(n,n*(n-1)//2,ls=e,index=0)
d,_=dijkstra(g,0)
print(d[1])


Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True


## Segment Tree ##

## Initializer Template ##
# Range Sum:        sg=SegTree(n)
# Range Minimum:    sg=SegTree(n,inf,min,inf)

class SegTree:

    def __init__(self,n,init_ls=None,init_val=0,function=lambda a,b:a+b,ide=0):
        self.n=n
        self.ide_ele=ide_ele=ide
        self.num=num=2**(n-1).bit_length()
        self.seg=seg=[self.ide_ele]*2*self.num
        self.lazy=lazy=[self.ide_ele]*2*self.num
        self.segfun=segfun=function
        #set_val
        if init_ls==None:
            for i in range(n):
                self.seg[i+self.num-1]=init_val
        else:
            for i in range(n):
                self.seg[i+self.num-1]=init_ls[i]
        #build
        for i in range(self.num-2,-1,-1):
            self.seg[i]=self.segfun(self.seg[2*i+1],self.seg[2*i+2])
    
    def update(self,k,x):
        k += self.num-1
        self.seg[k] = x
        while k:
            k = (k-1)//2
            self.seg[k] = self.segfun(self.seg[k*2+1],self.seg[k*2+2])
        
    def evaluate(k,l,r): #遅延評価処理
        if lazy[k]!=0:
            node[k]+=lazy[k]
            if(r-l>1):
                lazy[2*k+1]+=lazy[k]//2
                lazy[2*k+2]+=lazy[k]//2

        lazy[k]=0
        
    def query(self,p,q):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p = p//2
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res
    
    def find_min_index(self,p,q,m):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p >>= 1
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res


    def __str__(self):
        # 生配列を表示
        rt=self.seg[self.num-1:self.num-1+self.n]
        return str(rt)

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)

def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else inf) for i in range(n)]
    prev=[0]*n
    q=[(0,st)]
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev

sx,sy,gx,gy=LI()
n=I()

c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
e=[]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=max(0,((x-s)**2+(y-t)**2)**0.5 -r1 -r2)
        e.append((i,j,d))

g,_=GI(n,n*(n-1)//2,ls=e,index=0)
d,_=dijkstra(g,0)
print(d[1])


Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True


## Segment Tree ##

## Initializer Template ##
# Range Sum:        sg=SegTree(n)
# Range Minimum:    sg=SegTree(n,inf,min,inf)

class SegTree:

    def __init__(self,n,init_ls=None,init_val=0,function=lambda a,b:a+b,ide=0):
        self.n=n
        self.ide_ele=ide_ele=ide
        self.num=num=2**(n-1).bit_length()
        self.seg=seg=[self.ide_ele]*2*self.num
        self.lazy=lazy=[self.ide_ele]*2*self.num
        self.segfun=segfun=function
        #set_val
        if init_ls==None:
            for i in range(n):
                self.seg[i+self.num-1]=init_val
        else:
            for i in range(n):
                self.seg[i+self.num-1]=init_ls[i]
        #build
        for i in range(self.num-2,-1,-1):
            self.seg[i]=self.segfun(self.seg[2*i+1],self.seg[2*i+2])
    
    def update(self,k,x):
        k += self.num-1
        self.seg[k] = x
        while k:
            k = (k-1)//2
            self.seg[k] = self.segfun(self.seg[k*2+1],self.seg[k*2+2])
        
    def evaluate(k,l,r): #遅延評価処理
        if lazy[k]!=0:
            node[k]+=lazy[k]
            if(r-l>1):
                lazy[2*k+1]+=lazy[k]//2
                lazy[2*k+2]+=lazy[k]//2

        lazy[k]=0
        
    def query(self,p,q):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p = p//2
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res
    
    def find_min_index(self,p,q,m):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p >>= 1
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res


    def __str__(self):
        # 生配列を表示
        rt=self.seg[self.num-1:self.num-1+self.n]
        return str(rt)

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)

def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else inf) for i in range(n)]
    prev=[0]*n
    q=[(0,st)]
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev

sx,sy,gx,gy=LI()
n=I()

c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
e=[]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=max(0,((x-s)**2+(y-t)**2)**0.5 -r1 -r2)
        e.append((i,j,d))

g,_=GI(n,n*(n-1)//2,ls=e,index=0)
d,_=dijkstra(g,0)
print(d[1])


Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True


## Segment Tree ##

## Initializer Template ##
# Range Sum:        sg=SegTree(n)
# Range Minimum:    sg=SegTree(n,inf,min,inf)

class SegTree:

    def __init__(self,n,init_ls=None,init_val=0,function=lambda a,b:a+b,ide=0):
        self.n=n
        self.ide_ele=ide_ele=ide
        self.num=num=2**(n-1).bit_length()
        self.seg=seg=[self.ide_ele]*2*self.num
        self.lazy=lazy=[self.ide_ele]*2*self.num
        self.segfun=segfun=function
        #set_val
        if init_ls==None:
            for i in range(n):
                self.seg[i+self.num-1]=init_val
        else:
            for i in range(n):
                self.seg[i+self.num-1]=init_ls[i]
        #build
        for i in range(self.num-2,-1,-1):
            self.seg[i]=self.segfun(self.seg[2*i+1],self.seg[2*i+2])
    
    def update(self,k,x):
        k += self.num-1
        self.seg[k] = x
        while k:
            k = (k-1)//2
            self.seg[k] = self.segfun(self.seg[k*2+1],self.seg[k*2+2])
        
    def evaluate(k,l,r): #遅延評価処理
        if lazy[k]!=0:
            node[k]+=lazy[k]
            if(r-l>1):
                lazy[2*k+1]+=lazy[k]//2
                lazy[2*k+2]+=lazy[k]//2

        lazy[k]=0
        
    def query(self,p,q):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p = p//2
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res
    
    def find_min_index(self,p,q,m):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p >>= 1
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res


    def __str__(self):
        # 生配列を表示
        rt=self.seg[self.num-1:self.num-1+self.n]
        return str(rt)

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)

def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else inf) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev

sx,sy,gx,gy=LI()
n=I()

c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
e=deque()
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=max(0,((x-s)**2+(y-t)**2)**0.5 -r1 -r2)
        e.append((i,j,d))

g,_=GI(n,n*(n-1)//2,ls=e,index=0)
d,_=dijkstra(g,0)
print(d[1])

Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])

Buggy python submission (verdict: Time Limit Exceeded):
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True


## Segment Tree ##

## Initializer Template ##
# Range Sum:        sg=SegTree(n)
# Range Minimum:    sg=SegTree(n,inf,min,inf)

class SegTree:

    def __init__(self,n,init_ls=None,init_val=0,function=lambda a,b:a+b,ide=0):
        self.n=n
        self.ide_ele=ide_ele=ide
        self.num=num=2**(n-1).bit_length()
        self.seg=seg=[self.ide_ele]*2*self.num
        self.lazy=lazy=[self.ide_ele]*2*self.num
        self.segfun=segfun=function
        #set_val
        if init_ls==None:
            for i in range(n):
                self.seg[i+self.num-1]=init_val
        else:
            for i in range(n):
                self.seg[i+self.num-1]=init_ls[i]
        #build
        for i in range(self.num-2,-1,-1):
            self.seg[i]=self.segfun(self.seg[2*i+1],self.seg[2*i+2])
    
    def update(self,k,x):
        k += self.num-1
        self.seg[k] = x
        while k:
            k = (k-1)//2
            self.seg[k] = self.segfun(self.seg[k*2+1],self.seg[k*2+2])
        
    def evaluate(k,l,r): #遅延評価処理
        if lazy[k]!=0:
            node[k]+=lazy[k]
            if(r-l>1):
                lazy[2*k+1]+=lazy[k]//2
                lazy[2*k+2]+=lazy[k]//2

        lazy[k]=0
        
    def query(self,p,q):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p = p//2
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res
    
    def find_min_index(self,p,q,m):
        if q<=p:
            return self.ide_ele
        p += self.num-1
        q += self.num-2
        res=self.ide_ele
        while q-p>1:
            if p&1 == 0:
                res = self.segfun(res,self.seg[p])
            if q&1 == 1:
                res = self.segfun(res,self.seg[q])
                q -= 1
            p >>= 1
            q = (q-1)//2
        if p == q:
            res = self.segfun(res,self.seg[p])
        else:
            res = self.segfun(self.segfun(res,self.seg[p]),self.seg[q])
        return res


    def __str__(self):
        # 生配列を表示
        rt=self.seg[self.num-1:self.num-1+self.n]
        return str(rt)

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)

def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else inf) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    
    # calc
    while q:
        dist,cur=heappop(q)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev

sx,sy,gx,gy=LI()
n=I()

c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
e=[]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=max(0,((x-s)**2+(y-t)**2)**0.5 -r1 -r2)
        e.append((i,j,d))

g,_=GI(n,n*(n-1)//2,ls=e,index=0)
d,_=dijkstra(g,0)
print(d[1])


Fixed submission:
import sys,bisect,string,math,time,functools,random
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
def Golf():*a,=map(int,open(0))
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in range(V)]
    FromStdin=True if ls==None else False
    for i in range(E):
        if FromStdin:
            inp=LI()
            a,b,c=(inp+[1])[:3]
            org_inp.append(inp)
        else:
            #index=0
            a,b,c=(list(ls[i])+[1])[:3]
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0}):
#h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0}) # sample usage
    mp=[1]*(w+2);found={}
    for i in range(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[1]+[mp_def[j] for j in s]+[1]
    mp+=[1]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def bit_combination(k,n=2):
    rt=[]
    for tb in range(n**k):
        s=[tb//(n**bt)%n for bt in range(k)];rt+=[s]
    return rt
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

YN=['YES','NO'];Yn=['Yes','No']
mo=10**9+7
inf=float('inf')
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
input=lambda: sys.stdin.readline().rstrip()

class Comb:
    def __init__(self,n,mo=10**9+7):
        self.fac=[0]*(n+1)
        self.inv=[1]*(n+1)
        self.fac[0]=1
        self.fact(n)
        for i in range(1,n+1):
            self.fac[i]=i*self.fac[i-1]%mo
            self.inv[n]*=i
            self.inv[n]%=mo
        self.inv[n]=pow(self.inv[n],mo-2,mo)
        for i in range(1,n):
            self.inv[n-i]=self.inv[n-i+1]*(n-i+1)%mo
        return
    
    def fact(self,n):
        return self.fac[n]
        
    def invf(self,n):
        return self.inv[n]

    def comb(self,x,y):
        if y<0 or y>x:
            return 0
        return self.fac[x]*self.inv[x-y]*self.inv[y]%mo

show_flg=False
show_flg=True

class Tree:
    def __init__(self,inp_size=None,init=True):
        if init:
            self.stdin(inp_size)
        return

    def stdin(self,inp_size=None):
        if inp_size==None:
            self.size=int(input())
        else:
            self.size=inp_size
        self.edges,_=GI(self.size,self.size-1)
        return
    
    def listin(self,ls):
        self.size=len(ls)+1
        self.edges,_=GI(self.size,self.size-1,ls)
        return

    def __str__(self):
        return  str(self.edges)

    def dfs(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append(x)
        v=[-1]*self.size
        v[x]=root_v
        while q:
            c=q.pop()
            for nb,d in self.edges[c]:
                if v[nb]==-1:
                    q.append(nb)
                    v[nb]=func(v[c],nb,d)
        return v

    def EulerTour(self,x,func=lambda prv,nx,dist:prv+dist,root_v=0):
        q=deque()
        q.append((-1,x))
        v=[None]*self.size
        v[x]=root_v
        et=[]
        while q:
            cb,ce=q.pop()
            et.append(ce)
            for nb,d in self.edges[ce]:
                if v[nb]==None:
                    q.append((nb,ce))
                    q.append((ce,nb))
                    v[nb]=func(v[ce],nb,d)
        vid=[[-1,-1]for i in range(self.size)]
        for i,j in enumerate(et):
            if vid[j][0]==-1:
                vid[j][0]=i
            else:
                vid[j][1]=i
        return v,et,vid
    
    def LCA_init(self,depth,et):
        self.st=SegTree(self.size*2-1,func=min,ide=inf)
        for i,j in enumerate(et):
            self.st.update(i,j)
        self.LCA_init_stat==True
        return
    
    def LCA(self,root,x,y):
        if self.LCA_init_stat==False:
            depth,et,vid=self.EulerTour(root)
            self.LCA_init(depth,et)
        return self.st.query(x,y+1)


def dijkstra(edge,st):
    # edge=[[(v_to,dist_to_v),...],[],...]
    # initialize: def: d=dist(st,i), prev=[previous vertex in minimum path], q[]
    n=len(edge)
    d=[(0 if st==i else 1<<33) for i in range(n)]
    prev=[0]*n
    q=[(j,i) for i,j in enumerate(d)]
    heapify(q)
    remain=set(range(n))
    # calc
    while q:
        dist,cur=heappop(q)
        if cur not in remain:
            continue
        remain.remove(cur)
        for dst,dist in edge[cur]:
            alt=d[cur]+dist
            if alt<d[dst]:
                d[dst]=alt
                prev[dst]=cur
                heappush(q,(alt,dst))
    return d,prev


sx,sy,gx,gy=LI()
n=I()
 
c=[(sx,sy,0),(gx,gy,0)]
for i in range(n):
    c+=[LI()]

n+=2
g=[[]for i in range(n)]
for i in range(n):
    for j in range(i+1,n):
        x,y,r1=c[i]
        s,t,r2=c[j]
        d=((x-s)**2+(y-t)**2)**0.5 -r1 -r2
        if d<0:d=0
        g[i].append((j,d))
        g[j].append((i,d))
d,_=dijkstra(g,0)
print(d[1])