input
stringlengths
20
127k
target
stringlengths
20
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problem_id
stringlengths
6
6
import sys from collections import defaultdict import heapq import sys def dijkstra(startvertex,V,graph): distances=[sys.maxsize]*V distances[startvertex]=0 heap=[(0,startvertex)] while heap: current_distance,current_vertex=heapq.heappop(heap) if current_distance>distances[current_vertex]: continue for neighbor in range(len(graph[current_vertex])): if graph[current_vertex][neighbor]>0: distance=current_distance+graph[current_vertex][neighbor] if distance<distances[neighbor]: distances[neighbor]=distance heapq.heappush(heap,(distance,neighbor)) return distances n=int(eval(input())) sys.setrecursionlimit(10**9) graph=[[0 for i in range(n)]for j in range(n)] for i in range(n-1): a=[int(x) for x in input().split()] # print(a) graph[a[0]-1][a[1]-1]=a[2] graph[a[1]-1][a[0]-1]=a[2] # print(graph) w=[int(x) for x in input().split()] m=dijkstra(w[1]-1,n,graph) # print(m) c=0 for i in range(w[0]): s=[int(x) for x in input().split()] # print(s) c=abs(m[s[0]-1])+abs(m[s[1]-1]) print(c)
N=int(eval(input())) import sys sys.setrecursionlimit(10**6) T=[[] for _ in range(N)] for i in range(N-1): a,b,c=list(map(int, input().split())) T[a-1].append((b-1,c)) T[b-1].append((a-1,c)) Q,K=list(map(int, input().split())) D=[-1]*N D[K-1]=0 def dfs(start, nowd): to=T[start] for t in to: next_node,c=t if D[next_node]!=-1: continue nextd=nowd+c D[next_node]=nextd dfs(next_node, nextd) dfs(K-1,0) # print(D) for i in range(Q): x,y=list(map(int, input().split())) print((D[x-1]+D[y-1]))
p03634
import sys from collections import deque def dfs(start, dest, pre, d): if d[start][dest] > 0: return d[start][dest] for i in range(len(d)): if d[start][i] > 0 and i != pre: c = dfs(i, dest, start, d) if c > 0: return d[start][i] + dfs(i, dest, start, d) return 0 def main(): input = sys.stdin.readline N = int(eval(input())) d = [[] for _ in range(N)] for _ in range(N-1): a, b, c = list(map(int, input().split())) a, b = a - 1, b - 1 d[a].append((b, c)) d[b].append((a, c)) Q, K = list(map(int, input().split())) K -= 1 k_dist = [0 for _ in range(N)] start = deque() start.append(K) while len(start) > 0: s = start.popleft() for dest, cost in d[s]: if k_dist[dest] > 0: continue k_dist[dest] = k_dist[s] + cost start.append(dest) for _ in range(Q): x, y = list(map(int, input().split())) x, y = x - 1, y - 1 print((int(k_dist[x] + k_dist[y]))) if __name__ == '__main__': main()
import sys from collections import deque def main(): input = sys.stdin.readline N = int(eval(input())) d = [[] for _ in range(N)] for _ in range(N-1): a, b, c = list(map(int, input().split())) a, b = a - 1, b - 1 d[a].append((b, c)) d[b].append((a, c)) Q, K = list(map(int, input().split())) K -= 1 k_dist = [0 for _ in range(N)] start = deque() start.append(K) while len(start) > 0: s = start.popleft() for dest, cost in d[s]: if k_dist[dest] > 0: continue k_dist[dest] = k_dist[s] + cost start.append(dest) for _ in range(Q): x, y = list(map(int, input().split())) print((k_dist[x-1] + k_dist[y-1])) if __name__ == '__main__': main()
p03634
# -*- coding: utf-8 -*- #幅優先探索 import sys N=eval(input()) a=[[] for i in range(N+1)] #隣接リスト for i in range(N-1): x,y,z=list(map(int,input().split())) a[x].append((y,z)) a[y].append((x,z)) #print a Q,K=list(map(int,input().split())) b=[] for i in range(Q): b.append(list(map(int, input().split()))) #print b #訪問判別フラグ F=(N+1)*[0] #Queue queue=[] #距離 dist=[0 for i in range(N+1)] #先頭から幅優先探索 queue.append(K) while len(queue) != 0: #print queue v= queue.pop(0) #print "v::"+str(v) if F[v]==0: F[v]=1 for u,length in a[v]: if F[u]==0: queue.append(u) dist[u]=dist[v]+length #print dist #print dist for x in range(len(b)): print(dist[ b[x][0] ]+ dist[ b[x][1] ])
# -*- coding: utf-8 -*- #深さ優先探索 再帰 # import sys sys.setrecursionlimit(200000) N=eval(input()) a=[[] for i in range(N+1)] #隣接リスト for i in range(N-1): x,y,z=list(map(int,input().split())) a[x].append((y,z)) a[y].append((x,z)) #print a Q,K=list(map(int,input().split())) b=[] for i in range(Q): b.append(list(map(int, input().split()))) #print b #訪問判別フラグ F=(N+1)*[0] #距離 dist=[0 for i in range(N+1)] #深さ優先探索 再帰 #現在の頂点 v, v の親 p, スタート地点Kから現在の頂点vまでの距離 d def dfs(v,p,d): F[v]=1 dist[v]=d for i,j in a[v]: #頂点 v に隣接しているかつ未訪問 if F[i]==0: #DFS(次の頂点i, 次に親となる頂点v, d+ 頂点vと頂点iの間の辺のコスト) dfs(i,v,d+j) dfs(K,-1,0) for x in range(len(b)): print(dist[ b[x][0] ]+ dist[ b[x][1] ])
p03634
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=0): org_inp=[];g=[[] for i in range(V)] FromStdin=True if ls==None else False for i in range(E): if FromStdin: inp=LI() org_inp.append(inp) else: inp=ls[i] if index==0:inp[0]-=1;inp[1]-=1 if len(inp)==2: a,b=inp;g[a].append(b) if not Directed:g[b].append(a) elif len(inp)==3: a,b,c=inp;aa=(inp[0],inp[2]);bb=(inp[1],inp[2]);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_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 for i in range(n): self.seg[i+self.num-1]=init_val #built 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 = 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 __str__(self): # 生配列を表示 rt=self.seg[self.num-1:self.num-1+self.n] return str(rt) ans=0 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 in self.edges[c]: d=1 if type(nb) is not int: nb,d=nb if v[nb]==-1: q.append(nb) v[nb]=func(v[c],nb,d) return v def EulerTour(self,x,func=lambda x:x+1,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 in self.edges[ce]: if v[nb]==None: q.append((nb,ce)) q.append((ce,nb)) v[nb]=func(v[ce]) 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) #tr=Tree(init=False) tr=Tree() q,k=LI() v=tr.dfs(k-1)#,func=lambda x,y,d:x+d) for i in range(q): x,y=LI_() print(v[x]+v[y])
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=(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_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 for i in range(n): self.seg[i+self.num-1]=init_val #built 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 = 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 __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) n=I() tr=Tree(n) q,k=LI() v=tr.dfs(k-1) for i in range(q): x,y=LI_() print(v[x]+v[y])
p03634
import sys stdin = sys.stdin def li(): return list(map(int, stdin.readline().split())) def li_(): return [int(x)-1 for x in stdin.readline().split()] def lf(): return list(map(float, stdin.readline().split())) def ls(): return stdin.readline().split() def ns(): return stdin.readline().rstrip() def lc(): return list(ns()) def ni(): return int(stdin.readline()) def nf(): return float(stdin.readline()) from heapq import heappush, heappop def dijkstra(graph:list, node:int, start:int) -> list: # 未探索のノードは距離INF INF = float("inf") dist = [INF]*node # 始点ノードの距離を0とし、dfsのためのpriority queを作成 dist[start] = 0 heap = [(0,start)] # 未探索のノードをpriority queueに入れる while heap: cost, cur_node = heappop(heap) for nex_cost, nex_node in graph[cur_node]: dist_cand = dist[cur_node] + nex_cost if dist_cand < dist[nex_node]: dist[nex_node] = dist_cand heappush(heap, (dist[nex_node], nex_node)) return dist n = ni() abc = [] for _ in range(n-1): a,b,c = li() a -= 1 b -= 1 abc.append((a,b,c)) q,k = li() k -= 1 query = [li_() for _ in range(q)] # 隣接リストつくる graph = [[] for _ in range(n)] for frm,to,cost in abc: graph[frm].append((cost,to)) graph[to].append((cost,frm)) # 頂点Kをスタートとするダイクストラ dist = dijkstra(graph, n, k) # クエリ処理 for frm,to in query: print((dist[frm] + dist[to]))
import sys stdin = sys.stdin sys.setrecursionlimit(10**5) def li(): return list(map(int, stdin.readline().split())) def li_(): return [int(x)-1 for x in stdin.readline().split()] def lf(): return list(map(float, stdin.readline().split())) def ls(): return stdin.readline().split() def ns(): return stdin.readline().rstrip() def lc(): return list(ns()) def ni(): return int(stdin.readline()) def nf(): return float(stdin.readline()) from heapq import heappush, heappop def dijkstra(graph:list, node:int, start:int) -> list: # 未探索のノードは距離INF INF = float("inf") dist = [INF]*node # 始点ノードの距離を0とし、dfsのためのpriority queを作成 dist[start] = 0 heap = [(0,start)] # 未探索のノードをpriority queueに入れる while heap: cost, cur_node = heappop(heap) for nex_cost, nex_node in graph[cur_node]: dist_cand = dist[cur_node] + nex_cost if dist_cand < dist[nex_node]: dist[nex_node] = dist_cand heappush(heap, (dist[nex_node], nex_node)) return dist n = ni() graph = [[] for _ in range(n)] for _ in range(n-1): a,b,c = li() a -= 1 b -= 1 graph[a].append((c,b)) graph[b].append((c,a)) q,k = li() dist = dijkstra(graph,n,k-1) xy = [tuple(li_()) for _ in range(q)] for x,y in xy: print((dist[x]+dist[y]))
p03634
import sys stdin = sys.stdin sys.setrecursionlimit(10**5) def li(): return list(map(int, stdin.readline().split())) def li_(): return [int(x)-1 for x in stdin.readline().split()] def lf(): return list(map(float, stdin.readline().split())) def ls(): return stdin.readline().split() def ns(): return stdin.readline().rstrip() def lc(): return list(ns()) def ni(): return int(stdin.readline()) def nf(): return float(stdin.readline()) from heapq import heappush, heappop def dijkstra(graph:list, node:int, start:int) -> list: # 未探索のノードは距離INF INF = float("inf") dist = [INF]*node # 始点ノードの距離を0とし、dfsのためのpriority queを作成 dist[start] = 0 heap = [(0,start)] # 未探索のノードをpriority queueに入れる while heap: cost, cur_node = heappop(heap) for nex_cost, nex_node in graph[cur_node]: dist_cand = dist[cur_node] + nex_cost if dist_cand < dist[nex_node]: dist[nex_node] = dist_cand heappush(heap, (dist[nex_node], nex_node)) return dist n = ni() graph = [[] for _ in range(n)] for _ in range(n-1): a,b,c = li() a -= 1 b -= 1 graph[a].append((c,b)) graph[b].append((c,a)) q,k = li() dist = dijkstra(graph,n,k-1) xy = [tuple(li_()) for _ in range(q)] for x,y in xy: print((dist[x]+dist[y]))
import sys stdin = sys.stdin sys.setrecursionlimit(10**5) def li(): return list(map(int, stdin.readline().split())) def li_(): return [int(x)-1 for x in stdin.readline().split()] def lf(): return list(map(float, stdin.readline().split())) def ls(): return stdin.readline().split() def ns(): return stdin.readline().rstrip() def lc(): return list(ns()) def ni(): return int(stdin.readline()) def nf(): return float(stdin.readline()) from heapq import heappush, heappop def dijkstra(graph:list, node:int, start:int) -> list: # 未探索のノードは距離INF INF = float("inf") dist = [INF]*node # 始点ノードの距離を0とし、dfsのためのpriority queを作成 dist[start] = 0 heap = [(0,start)] # 未探索のノードをpriority queueに入れる while heap: cost, cur_node = heappop(heap) for nex_cost, nex_node in graph[cur_node]: dist_cand = dist[cur_node] + nex_cost if dist_cand < dist[nex_node]: dist[nex_node] = dist_cand heappush(heap, (dist[nex_node], nex_node)) return dist n = ni() graph = [[] for _ in range(n)] for _ in range(n-1): a,b,c = li() a -= 1 b -= 1 graph[a].append((c, b)) graph[b].append((c, a)) q,k = li() k -= 1 query = [] for _ in range(q): x, y = li_() query.append((x, y)) dist = dijkstra(graph, n, k) for qx, qy in query: print((dist[qx] + dist[qy]))
p03634
from heapq import heappush, heappop class Dijkstra: def __init__(self, route_map, start_point, goal_point=None): self.route_map = route_map self.start_point = start_point self.goal_point = goal_point def execute(self): num_of_vertex = len(self.route_map) dist = [float('inf') for _ in range(num_of_vertex)] prev = [float('inf') for _ in range(num_of_vertex)] dist[self.start_point] = 0 heap_q = [] heappush(heap_q, (0, self.start_point)) while len(heap_q) != 0: prev_cost, src = heappop(heap_q) if dist[src] < prev_cost: continue for dest in range(num_of_vertex): cost = route_map[src][dest] if cost != float('inf') and dist[dest] > dist[src] + cost: dist[dest] = dist[src] + cost heappush(heap_q, (dist[dest], dest)) prev[dest] = src if self.goal_point is not None: return self.get_path(prev) else: return dist def get_path(prev): path = [self.goal_point] dest = self.goal_point while prev[dest] != float('inf'): dest = prev[dest] return list(reversed(path)) N = int(eval(input())) route_map = [[float('inf') for _ in range(N)] for _ in range(N)] for _ in range(N - 1): a, b, c = list(map(int, input().split())) route_map[a - 1][b - 1] = c route_map[b - 1][a - 1] = c Q, K = list(map(int, input().split())) K -= 1 dijakstra_result = Dijkstra(route_map, K).execute() for _ in range(Q): x, y = list(map(int, input().split())) print((dijakstra_result[x - 1] + dijakstra_result[y - 1]))
import sys sys.setrecursionlimit(10 ** 8) class Solve(): def __init__(self): self.N = int(eval(input())) self.route = [dict() for _ in range(self.N)] for _ in range(self.N - 1): a, b, c = list(map(int, input().split())) self.route[a - 1][b - 1] = c self.route[b - 1][a - 1] = c self.Q, self.K = list(map(int, input().split())) self.K -= 1 self.query = [] for _ in range(self.Q): x, y = list(map(int, input().split())) self.query.append([x - 1, y - 1]) self.depth = [0 for _ in range(self.N)] def DFS(self, v, p, d): self.depth[v] = d for dest, cost in list(self.route[v].items()): if dest == p: continue self.DFS(dest, v, d + cost) def execute(self): self.DFS(self.K, -1, 0) for x, y in self.query: print((self.depth[x] + self.depth[y])) if __name__ == '__main__': Solve().execute()
p03634
def BFS(K, edges, N): roots = [[] for i in range(N)] for a, b, c in edges: roots[a - 1] += [(b - 1, c)] roots[b - 1] += [(a - 1, c)] dist = [-1] * N stack = [] stack.append(K) dist[K] = 0 while stack: label = stack.pop(-1) for i, c in roots[label]: if dist[i] == -1: dist[i] = dist[label] + c stack += [i] return dist N = int(eval(input())) edges = [] for i in range(N - 1): edges += [list(map(int, input().split()))] Q, K = list(map(int, input().split())) xy = [list(map(int, input().split())) for i in range(Q)] distance = BFS(K-1, edges, N) for i in range(Q): print((distance[xy[i][0] - 1] + distance[xy[i][1] - 1]))
def getDis(k, abc, n): r = [[] for i in range(n)] for a, b, c in abc: r[a-1] += [(b-1, c)] r[b-1] += [(a-1, c)] dis = [-1] * n stack = [k] dis[k] = 0 while stack: label = stack.pop(-1) for i, c in r[label]: if dis[i] == -1: dis[i] = dis[label] + c stack.append(i) return dis N = int(eval(input())) abc = [[int(i) for i in input().split()] for i in range(N-1)] Q, K = list(map(int, input().split())) xy = [[int(i) for i in input().split()] for i in range(Q)] d = getDis(K-1, abc, N) for i in range(Q): print((d[xy[i][0] - 1] + d[xy[i][1] - 1]))
p03634
N = int(eval(input())) treedic = {} for i in range(1, N+1): treedic[i] = {} for i in range(N-1): a, b, c = list(map(int, input().split())) treedic[a][b] = c treedic[b][a] = c Q, K = list(map(int, input().split())) checked = set([K]) length = [0]*(N+1) check = set([K]) while len(checked) < N: nextcheck = set() for i in check: for j in list(treedic[i].keys()): if j not in checked: length[j] = length[i] + treedic[i][j] checked.add(j) nextcheck.add(j) check = nextcheck for i in range(Q): x, y = list(map(int, input().split())) print((length[x] + length[y]))
def main(): N = int(eval(input())) treedic = {} for i in range(1, N+1): treedic[i] = {} for i in range(N-1): a, b, c = list(map(int, input().split())) treedic[a][b] = c treedic[b][a] = c Q, K = list(map(int, input().split())) checked = set([K]) length = [0]*(N+1) check = set([K]) while len(checked) < N: nextcheck = set() for i in check: for j in list(treedic[i].keys()): if j not in checked: length[j] = length[i] + treedic[i][j] checked.add(j) nextcheck.add(j) check = nextcheck for i in range(Q): x, y = list(map(int, input().split())) print((length[x] + length[y])) if __name__ == "__main__": main()
p03634
from collections import Counter,defaultdict,deque from heapq import heappop,heappush,heapify import sys,bisect,math,itertools,fractions,pprint sys.setrecursionlimit(10**8) mod = 10**9+7 mod2 = 998244353 INF = float('inf') def inp(): return int(sys.stdin.readline()) def inpl(): return list(map(int, sys.stdin.readline().split())) def inpln(n): return list(int(sys.stdin.readline()) for i in range(n)) n = inp() g = [[] for i in range(n)] cc = dict() for i in range(n-1): a,b,c = inpl() a -= 1 b -= 1 g[a].append(b) g[b].append(a) cc[(a,b)] = c cc[(b,a)] = c q,k = inpl() k -= 1 cost = [INF] * n cost[k] = 0 def dfs(node,c): for next in g[node]: if cost[next] == INF: cost[next] = c + cc[(node,next)] dfs(next,cost[next]) dfs(k,0) res = [0] * q for i in range(q): x,y = inpl() x -= 1 y -= 1 res[i] = cost[x] + cost[y] for z in res: print(z)
from collections import Counter,defaultdict,deque from heapq import heappop,heappush,heapify import sys,bisect,math,itertools,fractions from decimal import Decimal sys.setrecursionlimit(10**8) mod = 10**9+7 INF = float('inf') def inp(): return int(sys.stdin.readline()) def inpl(): return list(map(int, sys.stdin.readline().split())) n = inp() co = dict() g = [[] for _ in range(n)] cost = [-1] * n for i in range(n-1): a,b,c = inpl() a -= 1; b -= 1 g[a] += [b]; g[b] += [a] co[(a,b)] = c; co[(b,a)] = c Q,k = inpl() k -= 1; cost[k] = 0 q = deque() q.append(k) while q: nv = q.popleft() for v in g[nv]: if cost[v] > 0: continue cost[v] = cost[nv] + co[(v,nv)] q.append(v) for _ in range(Q): a,b = inpl() a -= 1; b -= 1 print((cost[a] + cost[b]))
p03634
import sys input = sys.stdin.readline def main(): N = int(eval(input())) X = [list(map(int,input().split())) for _ in range(N-1)] Q,K = list(map(int,input().split())) Y = [list(map(int,input().split())) for _ in range(Q)] tree = [[] for _ in range(N)] dif = [10**15 for _ in range(N)] dif[K-1] = 0 for i in range(N-1): tree[X[i][0]-1].append(X[i][1]) tree[X[i][1]-1].append(X[i][0]) queue = [K] while queue: a = queue.pop() for i in range(N-1): if X[i][0] == a: dif[X[i][1]-1] = min(dif[X[i][1]-1],dif[a-1]+X[i][2]) tree[X[i][1]-1].remove(a) queue[0:0] = tree[a-1] if X[i][1] == a: dif[X[i][0]-1] = min(dif[X[i][0]-1],dif[a-1]+X[i][2]) tree[X[i][0]-1].remove(a) queue[0:0] = tree[a-1] queue = list(set(queue)) for i in range(Q): print((dif[Y[i][0]-1]+dif[Y[i][1]-1])) if __name__ == "__main__": main()
import sys input = sys.stdin.readline def main(): N = int(eval(input())) X = [list(map(int,input().split())) for _ in range(N-1)] Q,K = list(map(int,input().split())) Y = [list(map(int,input().split())) for _ in range(Q)] tree = [[] for _ in range(N)] dif = [10**15 for _ in range(N)] dif[K-1] = 0 for i in range(N-1): tree[X[i][0]-1].append((X[i][1]-1,X[i][2])) tree[X[i][1]-1].append((X[i][0]-1,X[i][2])) queue = [K-1] while queue: a = queue.pop() for i in tree[a]: s,t = i[0],i[1] if dif[s] == 10**15: dif[s] = dif[a]+t queue.append(s) for i in range(Q): print((dif[Y[i][0]-1]+dif[Y[i][1]-1])) if __name__ == "__main__": main()
p03634
def BFS(K,path,N): """リストのリスト道順path,頂点の個数Nが与えられたとき, 頂点Kから各頂点までの距離をlistで返す""" from collections import deque dist=[-1]*N dist[K]=0 que=deque() que.append(K) while que: label=que.popleft() for i,c in path[label]: if dist[i]==-1: dist[i]=dist[label]+c que+=[i] return dist N=int(eval(input())) path=[ [] for i in range(N)] for i in range(N-1): a,b,c=list(map(int,input().split())) path[a-1]+=[[b-1,c]] path[b-1]+=[[a-1,c]] Q,K=list(map(int,input().split())) distance=BFS(K-1,path,N) for i in range(Q): x,y=list(map(int,input().split())) print((distance[x-1]+distance[y-1]))
from sys import stdin input = stdin.readline def BFS(K,path,N): """リストのリスト道順path,頂点の個数Nが与えられたとき, 頂点Kから各頂点までの距離をlistで返す""" from collections import deque dist=[-1]*N dist[K]=0 que=deque() que.append(K) while que: label=que.popleft() for i,c in path[label]: if dist[i]==-1: dist[i]=dist[label]+c que+=[i] return dist N=int(eval(input())) path=[ [] for i in range(N)] for i in range(N-1): a,b,c=list(map(int,input().split())) path[a-1]+=[(b-1,c)] path[b-1]+=[(a-1,c)] Q,K=list(map(int,input().split())) xy=[list(map(int,input().split())) for i in range(Q)] distance=BFS(K-1,path,N) for i in range(Q): print((distance[xy[i][0]-1]+distance[xy[i][1]-1]))
p03634
from sys import stdin input = stdin.readline def BFS(K,path,N): """リストのリスト道順path,頂点の個数Nが与えられたとき, 頂点Kから各頂点までの距離をlistで返す""" from collections import deque dist=[-1]*N dist[K]=0 que=deque() que.append(K) while que: label=que.popleft() for i,c in path[label]: if dist[i]==-1: dist[i]=dist[label]+c que+=[i] return dist N=int(eval(input())) path=[ [] for i in range(N)] for i in range(N-1): a,b,c=list(map(int,input().split())) path[a-1]+=[(b-1,c)] path[b-1]+=[(a-1,c)] Q,K=list(map(int,input().split())) xy=[list(map(int,input().split())) for i in range(Q)] distance=BFS(K-1,path,N) for i in range(Q): print((distance[xy[i][0]-1]+distance[xy[i][1]-1]))
from sys import stdin input = stdin.readline def BFS(K,path,N): """リストのリスト道順path,頂点の個数Nが与えられたとき, 頂点Kから各頂点までの距離をlistで返す""" from collections import deque dist=[-1]*N dist[K]=0 que=deque() que.append(K) while que: label=que.popleft() for i,c in path[label]: if dist[i]==-1: dist[i]=dist[label]+c que+=[i] return dist N=int(eval(input())) path=[ [] for i in range(N)] for i in range(N-1): a,b,c=list(map(int,input().split())) path[a-1].append((b-1,c)) path[b-1].append((a-1,c)) Q,K=list(map(int,input().split())) xy=[list(map(int,input().split())) for i in range(Q)] distance=BFS(K-1,path,N) for i in range(Q): print((distance[xy[i][0]-1]+distance[xy[i][1]-1]))
p03634
from sys import stdin input = stdin.readline def BFS(K,path,N): """リストのリスト道順path,頂点の個数Nが与えられたとき, 頂点Kから各頂点までの距離をlistで返す""" import queue dist=[-1]*N dist[K]=0 que=queue.Queue() que.put(K) while que.qsize(): label=que.get() for i,c in path[label]: if dist[i]==-1: dist[i]=dist[label]+c que.put(i) return dist N=int(eval(input())) path=[ [] for i in range(N)] for i in range(N-1): a,b,c=list(map(int,input().split())) path[a-1]+=[(b-1,c)] path[b-1]+=[(a-1,c)] Q,K=list(map(int,input().split())) xy=[list(map(int,input().split())) for i in range(Q)] distance=BFS(K-1,path,N) for i in range(Q): print((distance[xy[i][0]-1]+distance[xy[i][1]-1]))
from sys import stdin input = stdin.readline def BFS(K,path,N): """リストのリスト道順path,頂点の個数Nが与えられたとき, 頂点Kから各頂点までの距離をlistで返す""" from collections import deque dist=[-1]*N dist[K]=0 que=[] que.append(K) while que: label=que.pop(-1) for i,c in path[label]: if dist[i]==-1: dist[i]=dist[label]+c que+=[i] return dist N=int(eval(input())) path=[ [] for i in range(N)] for i in range(N-1): a,b,c=list(map(int,input().split())) path[a-1]+=[(b-1,c)] path[b-1]+=[(a-1,c)] Q,K=list(map(int,input().split())) xy=[list(map(int,input().split())) for i in range(Q)] distance=BFS(K-1,path,N) for i in range(Q): print((distance[xy[i][0]-1]+distance[xy[i][1]-1]))
p03634
from collections import deque n=int(eval(input())) con=[[] for _ in range(n)] dist=[[None]*n for _ in range(n)] dist_f_k=[0]*n for _ in range(n-1): a,b,c=list(map(int,input().split())) con[a-1].append(b-1) con[b-1].append(a-1) dist[a-1][b-1]=dist[b-1][a-1]=c q,k=list(map(int,input().split())) dist_f_k[k-1]=None que=deque([(k-1,0)]) while que: cur,d=que.popleft() for nxt in con[cur]: if dist_f_k[nxt]==0: tmp=d+dist[cur][nxt] que.append((nxt,tmp)) dist_f_k[nxt]=tmp for _ in range(q): x,y=list(map(int,input().split())) print((dist_f_k[x-1]+dist_f_k[y-1]))
from collections import deque n=int(eval(input())) con=[[] for _ in range(n)] dist_f_k=[0]*n for _ in range(n-1): a,b,c=list(map(int,input().split())) con[a-1].append((b-1,c)) con[b-1].append((a-1,c)) q,k=list(map(int,input().split())) que=deque([k-1]) while que: cur=que.popleft() for nxt,dd in con[cur]: if dist_f_k[nxt]==0 and nxt!=k-1: que.append(nxt) dist_f_k[nxt]=dist_f_k[cur]+dd for _ in range(q): x,y=list(map(int,input().split())) print((dist_f_k[x-1]+dist_f_k[y-1]))
p03634
from collections import deque n=int(eval(input())) con=[[] for _ in range(n)] dist_f_k=[0]*n for _ in range(n-1): a,b,c=list(map(int,input().split())) con[a-1].append((b-1,c)) con[b-1].append((a-1,c)) q,k=list(map(int,input().split())) que=deque([k-1]) while que: cur=que.popleft() for nxt,dd in con[cur]: if dist_f_k[nxt]==0 and nxt!=k-1: que.append(nxt) dist_f_k[nxt]=dist_f_k[cur]+dd for _ in range(q): x,y=list(map(int,input().split())) print((dist_f_k[x-1]+dist_f_k[y-1]))
from collections import deque n,*t=list(map(int,open(0).read().split())) con=[[] for _ in range(n)] dist_f_k=[0]*n for a,b,c in zip(t[:3*n-3:3],t[1::3],t[2::3]): con[a-1].append((b-1,c)) con[b-1].append((a-1,c)) k=t[3*n-2] que=deque([k-1]) while que: cur=que.popleft() for nxt,dd in con[cur]: if dist_f_k[nxt]==0 and nxt!=k-1: que.append(nxt) dist_f_k[nxt]=dist_f_k[cur]+dd for x,y in zip(t[3*n-1::2],t[3*n::2]): print((dist_f_k[x-1]+dist_f_k[y-1]))
p03634
from collections import deque def main(): n=int(eval(input())) dis=[[10**20 for i in range(n)] for i in range(n)] g=[[] for i in range(n)] for _ in range(n-1): a,b,c = list(map(int,input().split())) g[a-1].append(b-1) g[b-1].append(a-1) dis[a-1][b-1] = c dis[b-1][a-1] = c q,k = list(map(int,input().split())) k-=1 d=deque([k]) f=[False for i in range(n)] dis[k][k]=0 while d: s= d.popleft() f[s]= True for sg in g[s]: if not f[sg]: dis[k][sg]= dis[k][s]+dis[s][sg] d.append(sg) lq=[] for _ in range(q): lq.append(list(map(int,input().split()))) for sq in lq: print((dis[k][sq[0]-1]+dis[k][sq[1]-1])) main()
from collections import deque import sys sys.setrecursionlimit(10**7) n=int(eval(input())) d=[10**20 for i in range(n)] g=[[] for i in range(n)] for _ in range(n-1): a,b,c = list(map(int,input().split())) g[a-1].append([b-1,c]) g[b-1].append([a-1,c]) q,k = list(map(int,input().split())) k-=1 f=[False for i in range(n)] d[k]=0 def dfs(s,c): f[s]=True d[s]=c for sg in g[s]: if not f[sg[0]]: dfs(sg[0],c+sg[1]) dfs(k,0) lq=[] for _ in range(q): lq.append(list(map(int,input().split()))) for sq in lq: print((d[sq[0]-1]+d[sq[1]-1]))
p03634
import sys def input(): return sys.stdin.readline()[:-1] n=int(input()) def warshall_floyd(d): for x in range(n): for y in range(n): for z in range(n): d[y][z] = min(d[y][z],d[y][x]+d[x][z]) return d graph = [[float("inf")]*n for _ in range(n)] for i in range(n-1): a,b,c = map(int,input().split()) graph[a-1][b-1] = c graph[b-1][a-1] = c for i in range(n): graph[i][i] = 0 G = warshall_floyd(graph) ans = [] q,k = map(int,input().split()) for i in range(q): x,y = map(int,input().split()) ans.append(G[k-1][x-1] + G[k-1][y-1]) print(*ans , sep="\n")
n=int(input()) def warshall_floyd(d,k): for x in range(n): for y in range(n): for z in range(n): d[y][z] = min(d[y][z],d[y][x]+d[x][z]) return d[k-1] graph = [[float("inf") for x in range(n)] for _ in range(n)] for i in range(n-1): a,b,c = map(int,input().split()) graph[a-1][b-1] = c graph[b-1][a-1] = c for i in range(n): graph[i][i] = 0 q,k = map(int,input().split()) G = warshall_floyd(graph,k) ans = [] for i in range(q): x,y = map(int,input().split()) ans.append(G[x-1] + G[y-1]) print(*ans , sep="\n")
p03634
from collections import deque def f(k,edge,n): root = [[] for _ in range(n)] for i in range(n-1): a,b,c = edge[i][0],edge[i][1],edge[i][2] root[a-1].append([b-1,c]) root[b-1].append([a-1,c]) que = deque() for l in root[k]: que.append(l) dist = [float("inf")]*n dist[k] = 0 visited = [False]*n que = deque([k]) while que: pos = que.popleft() if not visited[pos]: visited[pos] = True for x,y in root[pos]: if not visited[x]: dist[x] = dist[pos] + y visited[x] = True que.append(x) return dist n = int(input()) edge = [list(map(int,input().split())) for _ in range(n-1)] q,k = map(int,input().split()) ans = [] d = f(k-1,edge,n) for i in range(q): x,y = map(int,input().split()) ans.append(d[x-1] + d[y-1]) print(*ans , sep = "\n")
from collections import deque n = int(eval(input())) g = [[] for _ in range(n+1)] for _ in range(n-1): a,b,c = list(map(int,input().split())) g[a].append((b,c)) g[b].append((a,c)) q,k = list(map(int,input().split())) dis = [float('inf')]*(n+1) dis[k] = 0 que = deque(g[k]) while que: x,y = que.popleft() if dis[x] == float('inf'): dis[x] = y for x_, y_ in g[x]: que.append((x_, dis[x]+y_)) else: dis[x] = min(dis[x], y) ans = [] for _ in range(q): x,y = list(map(int,input().split())) ans.append(dis[x] + dis[y]) for a in ans: print(a)
p03634
from collections import defaultdict inf = float('inf') def solve(graph, n, start_node): costs = [inf for _ in range(n)] costs[start_node] = 0 flgs = [False for _ in range(n)] while not all(flgs): prv_node = _get_min_idx(flgs,costs) flgs[prv_node] = True for node, dis in graph[prv_node]: if costs[node] > costs[prv_node] + dis: costs[node] = costs[prv_node] + dis return costs def _get_min_idx(flgs, costs): min_cost = inf min_idx = None cnt = 0 for cost, flg in zip(costs, flgs): if min_cost > cost and flg is False: min_cost = cost min_idx = cnt cnt += 1 return min_idx n =int(eval(input())) graph = defaultdict(list) costs_dict = {} for _ in range(n-1): a,b,c = list(map(int, input().split())) graph[a-1].append([b-1,c]) graph[b-1].append([a-1,c]) q, k = list(map(int, input().split())) k -= 1 costs = solve(graph, n, k) for _ in range(q): x, y = list(map(int, input().split())) print(( costs[x-1] + costs[y-1]))
from collections import deque def dfs(): dis_from_k = [float('inf') for _ in range(N+1)] q = deque() used = set() q.append([K, 0]) used.add(K) while len(q) > 0: prv_node, prv_cost = q.pop() for node, cost in g[prv_node]: if node in used: continue dis_from_k[node] = min(dis_from_k[node], prv_cost + cost) q.append([node, prv_cost + cost]) used.add(node) return dis_from_k N = int(eval(input())) g = {i: [] for i in range(1, N+1)} for _ in range(N-1): a, b, c = list(map(int, input().split())) g[a].append([b, c]) g[b].append([a, c]) Q, K = list(map(int, input().split())) dis_from_k = dfs() for _ in range(Q): x, y = list(map(int, input().split())) print((dis_from_k[x] + dis_from_k[y]))
p03634
import heapq n = int(eval(input())) cost = [[float('inf') for _ in range(n+1)] for _ in range(n+1)] for _ in range(n-1): From, To, d = list(map(int, input().split())) cost[From][To] = d cost[To][From] = d q, k = list(map(int, input().split())) dist = [float('inf') for _ in range(n+1)] dist[k] = 0 next_v = [[0, k]] while len(next_v): v = next_v[0][1] for i in range(n+1): if dist[i] > dist[v] + cost[v][i]: dist[i] = dist[v] + cost[v][i] heapq.heappush(next_v, [dist[i], i]) heapq.heappop(next_v) for _ in range(q): x, y = list(map(int, input().split())) print((dist[x]+dist[y]))
import heapq def dijkstra(n, edges, s): min_dist = [float('inf')] * n min_dist[s] = 0 next_v = [] heapq.heappush(next_v, (0, s)) path = [-1] * n while True: if len(next_v) == 0: break d, v = heapq.heappop(next_v) for u, d in edges[v]: if min_dist[u] > min_dist[v] + d: min_dist[u] = min_dist[v] + d heapq.heappush(next_v, (min_dist[u], u)) path[u] = v return min_dist, path n = int(eval(input())) edges = [[] for _ in range(n)] for _ in range(n-1): a, b, c = list(map(int, input().split())) edges[a-1].append((b-1, c)) edges[b-1].append((a-1, c)) q, k = list(map(int, input().split())) dist, _ = dijkstra(n, edges, k-1) for _ in range(q): x, y = list(map(int, input().split())) print((dist[x-1] + dist[y-1]))
p03634
import heapq N = int(eval(input())) tree = {i+1:[] for i in range(N)} route = [10**20 for i in range(N+1)] visited = [False for i in range(N+1)] for i in range(N-1): a, b, c = list(map(int, input().split())) tree[a].append((c, b)) tree[b].append((c, a)) Q, K = list(map(int, input().split())) route[K], visited[K] = 0, True queue = tree[K] while len(queue): c, r = heapq.heappop(queue) if not visited[r]: visited[r], route[r] = True, c for cost, next_r in tree[r]: if not visited[next_r]: heapq.heappush(queue, (route[r]+cost, next_r)) for i in range(Q): x, y = list(map(int, input().split())) print((route[x]+route[y]))
import heapq N = int(eval(input())) graph = [[] for i in range(N+1)] visited = [False] * (N+1) cost = [10**20 for i in range(N+1)] for i in range(N-1): a, b, c = list(map(int, input().split())) graph[a].append((c, b)) graph[b].append((c, a)) Q, K = list(map(int, input().split())) q = [] for cr in graph[K]: heapq.heappush(q, cr) visited[K] = True cost[K] = 0 while q: c, r = heapq.heappop(q) if not visited[r]: visited[r] = True cost[r] = c for c_n, r_n in graph[r]: if not visited[r_n]: heapq.heappush(q, (c+c_n, r_n)) for i in range(Q): x, y = list(map(int, input().split())) print((cost[x] + cost[y]))
p03634
N = int(eval(input())) abc = [list(map(int, input().split())) for _ in range(N - 1)] Q, K = list(map(int, input().split())) xy = [list(map(int, input().split())) for _ in range(Q)] graph = [[] for _ in range(N)] for i, (ai, bi, ci) in enumerate(abc): graph[ai - 1].append((bi - 1, ci)) graph[bi - 1].append((ai - 1, ci)) import heapq MY_INF = None q = [(0, K - 1)] d = [MY_INF] * N d[K - 1] = 0 while len(q) > 0: dist, src = heapq.heappop(q) for dst, c_dst in graph[src]: dist_tmp = dist + c_dst if d[dst] == None or d[dst] > dist_tmp: d[dst] = dist_tmp heapq.heappush(q, (dist_tmp, dst)) for i, (xi, yi) in enumerate(xy): print((d[xi - 1] + d[yi - 1]))
N = int(eval(input())) abc = [list(map(int, input().split())) for _ in range(N - 1)] Q, K = list(map(int, input().split())) xy = [list(map(int, input().split())) for _ in range(Q)] graph = [[] for _ in range(N)] for ai, bi, ci in abc: graph[ai - 1].append((bi - 1, ci)) graph[bi - 1].append((ai - 1, ci)) MY_INF = 10 ** 18 import heapq q = [(0, K - 1)] d = [MY_INF] * N d[K - 1] = 0 while len(q) > 0: dist, src = heapq.heappop(q) for dst, c_tmp in graph[src]: dist_tmp = dist + c_tmp if d[dst] > dist_tmp: d[dst] = dist_tmp heapq.heappush(q, (dist_tmp, dst)) for xi, yi in xy: print((d[xi - 1] + d[yi - 1]))
p03634
n = int(eval(input())) a = [[int(i) for i in input().split()] for i in range(n-1)] q,k = (int(i) for i in input().split()) question = [[int(i) for i in input().split()] for i in range(q)] x = [] for i in range(n): subx = [] for j in range(n): subx.append(float("inf")) x.append(subx) for i in range(n): x[i][i] = 0 for i in a: x[i[0]-1][i[1]-1],x[i[1]-1][i[0]-1] = i[2],i[2] for p in range(n): for i in range(n): for j in range(n): x[i][j] = min(x[i][p]+x[p][j],x[i][j]) for i in question: print((x[i[0]-1][k-1]+x[k-1][i[1]-1]))
n = int(eval(input())) a = [[int(i) for i in input().split()] for i in range(n-1)] q,k = (int(i) for i in input().split()) question = [[int(i) for i in input().split()] for i in range(q)] x,ans = [[] for i in range(n)],[False for i in range(n)] for i in a: x[i[0]-1].append([i[1],i[2]]) x[i[1]-1].append([i[0],i[2]]) visit = [False for i in range(n)] visit[k-1],now = True,[k] while now: p = now.pop() for i in x[p-1]: if not visit[i[0]-1]: visit[i[0]-1],ans[i[0]-1] = True,ans[p-1]+i[1] now.append(i[0]) for i in question: print((ans[i[0]-1]+ans[i[1]-1]))
p03634
from collections import deque def main(): def p(a,b): if a < b: return (a,b) else: return (b,a) #input = open(0).readline N = int(eval(input())) E = [[] for i in range(N)] C = {} D = [0] * N parent = [0]*N for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 E[a].append(b) E[b].append(a) C[p(a,b)] = c M, K = list(map(int, input().split())) K -= 1 parent[K] = K Q = deque() Q.append(K) while Q: u = Q.popleft() d = D[u] for v in E[u]: if parent[u] == v: continue parent[v] = u D[v] = d + C[p(u,v)] Q.append(v) for i in range(M): x, y = list(map(int, input().split())) x -= 1 y -= 1 print((D[x]+D[y])) main()
from collections import deque def main(): def p(a,b): if a < b: return (a,b) else: return (b,a) input = open(0).readline N = int(eval(input())) E = [[] for i in range(N)] C = {} D = [0] * N parent = [0]*N for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 E[a].append(b) E[b].append(a) C[(a,b)] = c C[(b,a)] = c M, K = list(map(int, input().split())) K -= 1 parent[K] = K Q = deque() Q.append(K) while Q: u = Q.popleft() d = D[u] for v in E[u]: if parent[u] == v: continue parent[v] = u D[v] = d + C[(u,v)] Q.append(v) for i in range(M): x, y = list(map(int, input().split())) x -= 1 y -= 1 print((D[x]+D[y])) main()
p03634
from collections import deque def main(): def p(a,b): if a < b: return (a,b) else: return (b,a) input = open(0).readline N = int(eval(input())) E = [[] for i in range(N)] C = {} D = [0] * N parent = [0]*N for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 E[a].append(b) E[b].append(a) C[(a,b)] = c C[(b,a)] = c M, K = list(map(int, input().split())) K -= 1 parent[K] = K Q = deque() Q.append(K) while Q: u = Q.popleft() d = D[u] for v in E[u]: if parent[u] == v: continue parent[v] = u D[v] = d + C[(u,v)] Q.append(v) for i in range(M): x, y = list(map(int, input().split())) x -= 1 y -= 1 print((D[x]+D[y])) main()
from collections import deque import sys def main(): def p(a,b): if a < b: return (a,b) else: return (b,a) input = sys.stdin.readline N = int(eval(input())) E = [[] for i in range(N)] C = {} D = [0] * N parent = [0]*N for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 E[a].append(b) E[b].append(a) C[p(a,b)] = c M, K = list(map(int, input().split())) K -= 1 parent[K] = K Q = deque() Q.append(K) while Q: u = Q.popleft() d = D[u] for v in E[u]: if parent[u] == v: continue parent[v] = u D[v] = d + C[p(u,v)] Q.append(v) for i in range(M): x, y = list(map(int, input().split())) x -= 1 y -= 1 print((D[x]+D[y])) main()
p03634
import sys input = sys.stdin.readline n = int(eval(input())) v = [[0]+[]*(n+1) for i in range(n+1)] for i in range(n-1): a,b,c = list(map(int,input().split())) v[a].append([b,c]) v[b].append([a,c]) q,k = list(map(int,input().split())) l = [k] while l: now = l.pop() for i in v[now][1:]: if v[i[0]][0] == 0: v[i[0]][0] = i[1]+v[now][0] l.append(i[0]) for i in range(q): x,y = list(map(int,input().split())) print((v[x][0]+v[y][0]))
import sys def main(): input = sys.stdin.readline n = int(eval(input())) v = [[0]+[]*(n+1) for i in range(n+1)] for i in range(n-1): a,b,c = list(map(int,input().split())) v[a].append([b,c]) v[b].append([a,c]) q,k = list(map(int,input().split())) l = [k] while l: now = l.pop() for i in v[now][1:]: if v[i[0]][0] == 0: v[i[0]][0] = i[1]+v[now][0] l.append(i[0]) for i in range(q): x,y = list(map(int,input().split())) print((v[x][0]+v[y][0])) if __name__ == '__main__': main()
p03634
def dijkstra(s: int, n: int, w: int, cost: list) -> list: d = [float("inf")]*n used = [False]*n d[s] = 0 while True: v = -1 for i in range(n): if (not used[i]) and (v == -1): v = i elif (not used[i]) and d[i] < d[v]: v = i if v == -1: break used[v] = True for j in range(n): d[j] = min(d[j], d[v]+cost[v][j]) return d n = int(eval(input())) t = [[float("inf")]*(n) for _ in range(n)] for _ in range(n-1): a, b, c = list(map(int, input().split())) t[a-1][b-1] = c t[b-1][a-1] = c q, k = list(map(int, input().split())) k -= 1 d = dijkstra(k, n, n-1, t) for _ in range(q): x, y = list(map(int, input().split())) print((d[x-1]+d[y-1]))
import sys sys.setrecursionlimit(10**6) def dfs(v: int, p: int = -1, s: int = 0): dist[v] = s for i, j in t[v]: if i == p: continue dfs(i, v, s + j) n = int(eval(input())) t = [[] for _ in range(n)] for _ in range(n-1): a, b, c = list(map(int, input().split())) a -= 1; b -= 1; t[a].append((b, c)) t[b].append((a, c)) q, k = list(map(int, input().split())) k -= 1 dist = [0]*n dfs(k) for _ in range(q): x, y = list(map(int, input().split())) print((dist[x-1]+dist[y-1]))
p03634
from collections import deque n = int(eval(input())) nodes = [set() for i in range(n+1)] dis = [dict() for i in range(n+1)] ans = [-1 for i in range(n+1)] for _ in range(n-1): a,b,c = list(map(int,input().split())) nodes[a].add(b) nodes[b].add(a) dis[a][b] = c dis[b][a] = c #print(nodes) #print(dis) Q,K = list(map(int,input().split())) q = [K] d = 0 ans[K] = 0 c = 0 while True: now = q[-1] nex = -1 for x in nodes[now]: if ans[x] == -1: nex = x break if nex == -1: if c >= n-1: break else: q.pop() d -= dis[now][q[-1]] else: nodes[now].remove(nex) nodes[nex].remove(now) d += dis[now][nex] q.append(nex) ans[nex] = d c += 1 #print(ans) for _ in range(Q): x,y = list(map(int,input().split())) print((ans[x] + ans[y]))
import sys sys.setrecursionlimit(10**8) N = int(eval(input())) vertex = [{} for _ in range(N)] for i in range(N-1): a,b,c = list(map(int,input().split())) vertex[a-1][b-1] = c vertex[b-1][a-1] = c Q,K = list(map(int,input().split())) d = [0 for i in range(N)] def dfs(v1,v2): d[v2] = d[v1] + vertex[v1][v2] for v in vertex[v2]: if v == v1: continue dfs(v2,v) for v in list(vertex[K-1].keys()): dfs(K-1,v) for q in range(Q): x,y = list(map(int,input().split())) print((d[x-1] + d[y-1]))
p03634
import sys from collections import deque readline = sys.stdin.readline n = int(readline()) D = [[-1]*n for _ in range(n)] for i in range(n): D[i][i]=0 G = [[] for _ in range(n)] for i in range(n-1): a,b,c = [int(x)-1 for x in list(map(int, readline().split()))] G[a].append(b) G[b].append(a) D[a][b] = c+1 D[b][a] = c+1 q, k = list(map(int, readline().split())) k -= 1 que = deque([k]) _D = [-1]*n _D[k] = 0 while que: nw = que.popleft() d = _D[nw] for nx in G[nw]: if nw!=k and _D[nx]!=-1: continue _D[nx] = d+D[nw][nx] que.append(nx) for i in range(q): x, y = [int(x)-1 for x in readline().split()] print((_D[x]+_D[y]))
import sys sys.setrecursionlimit(pow(10,6)) readline = sys.stdin.readline def dfs(nw, d): V[nw] = d for nx in G[nw]: if V[nx[0]]==-1: dfs(nx[0], d+nx[1]) n = int(readline()) G = [[] for _ in range(n)] for i in range(n-1): a,b,c = list(map(int, readline().split())) G[a-1].append((b-1,c)) G[b-1].append((a-1,c)) q, k = list(map(int, readline().split())) V = [-1]*n dfs(k-1, 0) for i in range(q): x,y = [int(x)-1 for x in readline().split()] print((V[x]+V[y]))
p03634
import sys import collections def solve(): input = sys.stdin.readline mod = 10 ** 9 + 7 n = int(input().rstrip('\n')) ts = collections.defaultdict(list) tc = collections.defaultdict(int) for i in range(n-1): ta, te, ttc = list(map(int, input().rstrip('\n').split())) ts[ta - 1] += [te - 1] ts[te - 1] += [ta - 1] tc[ta - 1, te - 1] = ttc tc[te - 1, ta - 1] = ttc q, k = list(map(int, input().rstrip('\n').split())) ql = [[0, k-1]] ql = collections.deque(ql) fq = collections.defaultdict(int) while True: if len(ql) != 0: cost, p = ql.popleft() for v in ts[p]: if v not in fq: n_cost = tc[p, v] ql.append([cost + n_cost, v]) fq[v] = cost + n_cost else: n_cost = tc[p, v] if n_cost + cost < fq[v]: ql.append([cost + n_cost, v]) fq[v] = cost + n_cost else: break for i in range(q): x, y = list(map(int, input().rstrip('\n').split())) print((fq[x-1] + fq[y-1])) if __name__ == '__main__': solve()
import sys import collections def solve(): input = sys.stdin.readline mod = 10 ** 9 + 7 n = int(input().rstrip('\n')) tmd = collections.defaultdict(list) tmdc = collections.defaultdict(int) for i in range(n-1): tma, tmb, tmc = list(map(int, input().rstrip('\n').split())) tmd[tma-1] += [tmb-1] tmd[tmb-1] += [tma-1] tmdc[tma-1, tmb-1] = tmc tmdc[tmb-1, tma-1] = tmc q, k = list(map(int, input().rstrip('\n').split())) ql = [[0, k-1]] ql = collections.deque(ql) fq = collections.defaultdict(int) fq[k-1] while True: if len(ql) != 0: cost, tmp = ql.popleft() for tmv in tmd[tmp]: if tmv not in fq or cost + tmdc[tmp, tmv] < fq[tmv]: ql.append([cost + tmdc[tmp, tmv], tmv]) fq[tmv] = cost + tmdc[tmp, tmv] else: break for i in range(q): x, y = list(map(int, input().rstrip('\n').split())) print((fq[x-1] + fq[y-1])) if __name__ == '__main__': solve()
p03634
import sys sys.setrecursionlimit(10**7) n = int(eval(input())) l = [[] for _ in range(n)] for _ in range(n-1): a, b, c = list(map(int, input().split())) l[a-1].append([b-1, c]) l[b-1].append([a-1, c]) q, k = list(map(int, input().split())) dist = [-1]*n dist[k-1] = 0 def dfs(v): for nv, c in l[v]: if dist[nv] == -1: dist[nv] = dist[v]+c dfs(nv) dfs(k-1) for _ in range(q): x, y = list(map(int, input().split())) print((dist[x-1] + dist[y-1]))
import sys sys.setrecursionlimit(10**7) n = int(eval(input())) l = [[] for _ in range(n)] for _ in range(n-1): a, b, c = list(map(int, input().split())) l[a-1].append((b-1, c)) l[b-1].append((a-1, c)) q, k = list(map(int, input().split())) dist = [-1]*n dist[k-1] = 0 def dfs(v): for nv, c in l[v]: if dist[nv] == -1: dist[nv] = dist[v]+c dfs(nv) dfs(k-1) for _ in range(q): x, y = list(map(int, input().split())) print((dist[x-1] + dist[y-1]))
p03634
import sys sys.setrecursionlimit(10**9) n = int(eval(input())) adjacency = [[] for i in range(n+1)] #adjacency[i]は頂点iと隣接する頂点のリスト distance = {} # distance[(i,j)](i,jは隣接した頂点)は頂点i,jを結ぶ辺の長さ for i in range(n-1): line = list(map(int, input().split())) adjacency[line[0]].append(line[1]) adjacency[line[1]].append(line[0]) distance[(line[0], line[1])] = line[2] distance[(line[1], line[0])] = line[2] q, k = list(map(int, input().split())) x = [] y = [] for i in range(q): line = list(map(int, input().split())) x.append(line[0]) y.append(line[1]) k_distance = [-1 for i in range(n+1)] # k_distance[i]は頂点i,kの距離 k_distance[k] = 0 reached = {k} def dfs(v, d): # 現在いる頂点vと頂点v,k間の距離dを入力すると頂点vと隣接する未到達の頂点のk_distanceを計算してappendする for neighbor in adjacency[v]: if not neighbor in reached: reached.add(neighbor) k_distance[neighbor] = d + distance[(v, neighbor)] dfs(neighbor, k_distance[neighbor]) return dfs(k, 0) for i in range(q): print((k_distance[x[i]] + k_distance[y[i]]))
import sys sys.setrecursionlimit(10**6) from sys import stdin input = stdin.readline n = int(eval(input())) adjacency = [[] for i in range(n+1)] #adjacency[i]は頂点iと隣接する頂点のリスト distance = {} # distance[(i,j)](i,jは隣接した頂点)は頂点i,jを結ぶ辺の長さ for i in range(n-1): line = list(map(int, input().split())) adjacency[line[0]].append(line[1]) adjacency[line[1]].append(line[0]) distance[(line[0], line[1])] = line[2] distance[(line[1], line[0])] = line[2] q, k = list(map(int, input().split())) x = [] y = [] for i in range(q): line = list(map(int, input().split())) x.append(line[0]) y.append(line[1]) k_distance = [-1 for i in range(n+1)] # k_distance[i]は頂点i,kの距離 k_distance[k] = 0 reached = {k} def dfs(v, d): # 現在いる頂点vと頂点v,k間の距離dを入力すると頂点vと隣接する未到達の頂点のk_distanceを計算してappendする for neighbor in adjacency[v]: if not neighbor in reached: reached.add(neighbor) k_distance[neighbor] = d + distance[(v, neighbor)] dfs(neighbor, k_distance[neighbor]) return dfs(k, 0) for i in range(q): print((k_distance[x[i]] + k_distance[y[i]]))
p03634
import heapq N = int(eval(input())) es = [[] for i in range(N)] for i in range(N-1): a,b,c = list(map(int,input().split())) a,b = a-1, b-1 es[a].append((b,c)) es[b].append((a,c)) Q,K = list(map(int, input().split())) K -= 1 INF = float('inf') ds = [INF for i in range(N)] ds[K] = 0 visited = [0 for i in range(N)] q = [K] heapq.heapify(q) while q: now = heapq.heappop(q) visited[now] = 1 for to,cost in es[now]: ds[to] = min(ds[to], ds[now]+cost) if visited[to]: continue heapq.heappush(q,to) for i in range(Q): x,y = list(map(int, input().split())) x,y = x-1, y-1 print((ds[x] + ds[y]))
import heapq N = int(eval(input())) src = [tuple(map(int,input().split())) for i in range(N-1)] Q,K = list(map(int,input().split())) K -= 1 qs = [tuple(map(int,input().split())) for i in range(Q)] es = [[] for i in range(N)] for a,b,c in src: a,b = a-1,b-1 es[a].append((c,b)) es[b].append((c,a)) INF = float('inf') dists = [INF] * N dists[K] = 0 hq = [(0,K)] heapq.heapify(hq) while hq: dist,v = heapq.heappop(hq) dists[v] = dist for dd,to in es[v]: if dists[to] != INF: continue heapq.heappush(hq, (dist+dd, to)) for a,b in qs: a,b = a-1,b-1 print((dists[a] + dists[b]))
p03634
import sys from functools import lru_cache sys.setrecursionlimit(10**6) @lru_cache(maxsize=1000) def dfs(v,p,d): for i, j in tree[v]: if i != p: depth[i] = d + j dfs(i,v,d+j) N = int(eval(input())) tree = [[] for _ in range(N)] for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 tree[a].append((b,c)) tree[b].append((a,c)) Q, K = list(map(int, input().split())) depth = [0 for i in range(N)] depth[K-1] = 0 dfs(K-1,-1,0) for _ in range(Q): x, y = list(map(int, input().split())) print((depth[x-1] + depth[y-1]))
import sys sys.setrecursionlimit(10**6) def dfs(v,p,d): for i, j in tree[v]: if i != p: depth[i] = d + j dfs(i,v,d+j) N = int(eval(input())) tree = [[] for _ in range(N)] for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 tree[a].append((b,c)) tree[b].append((a,c)) Q, K = list(map(int, input().split())) depth = [0 for i in range(N)] depth[K-1] = 0 dfs(K-1,-1,0) for _ in range(Q): x, y = list(map(int, input().split())) print((depth[x-1] + depth[y-1]))
p03634
import heapq def dijkstra(graph, node, start): dist = [float("inf") for _ in range(node)] dist[start] = 0 q = [] heapq.heappush(q, (0, start)) while q: cost, cur_node = heapq.heappop(q) if dist[cur_node] < cost: continue for nex_cost, nex_node in graph[cur_node]: dist_cand = dist[cur_node] + nex_cost if dist_cand < dist[nex_node]: dist[nex_node] = dist_cand heapq.heappush(q, (dist[nex_node], nex_node)) return dist n = int(eval(input())) adj = [[] for _ in range(n)] for i in range(n - 1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 adj[a].append((c, b)) adj[b].append((c, a)) q, k = list(map(int, input().split())) k -= 1 shortest = [] for i in range(n): shortest.append(dijkstra(adj, n, i)) for i in range(q): x, y = list(map(int, input().split())) x -= 1 y -= 1 print((shortest[x][k] + shortest[y][k]))
import heapq def dijkstra(graph, node, start): dist = [float("inf") for _ in range(node)] dist[start] = 0 q = [] heapq.heappush(q, (0, start)) while q: cost, cur_node = heapq.heappop(q) if dist[cur_node] < cost: continue for nex_cost, nex_node in graph[cur_node]: dist_cand = dist[cur_node] + nex_cost if dist_cand < dist[nex_node]: dist[nex_node] = dist_cand heapq.heappush(q, (dist[nex_node], nex_node)) return dist n = int(eval(input())) adj = [[] for _ in range(n)] for i in range(n - 1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 adj[a].append((c, b)) adj[b].append((c, a)) q, k = list(map(int, input().split())) shortest = dijkstra(adj, n, k - 1) for i in range(q): x, y = list(map(int, input().split())) print((shortest[x - 1] + shortest[y - 1]))
p03634
# -*- coding: utf-8 -*- """ http://abc070.contest.atcoder.jp/tasks/abc070_d """ from enum import Enum class Sssp(object): """ single source shortest path """ INFINITY = 999999999999 class Status(Enum): """ ノードの訪問状態 """ white = 1 # 未訪問 gray = 2 # 訪問中 black = 3 #訪問済 def __init__(self, N, data): num_of_nodes = N+1 self.color = [Sssp.Status.white] * num_of_nodes # 各ノードの訪問状態 self.M = [[Sssp.INFINITY] * num_of_nodes for _ in range(num_of_nodes)] self._make_matrix(data) # dataから作成した隣接行列(未接続部分はコスト無限大に変換済) self.d = [Sssp.INFINITY] * num_of_nodes # 始点からの重み self.p = [-1] * num_of_nodes # 各頂点の親の番号を記録するための配列 def _make_matrix(self, data): """ 重み付き有効グラフの隣接行列を作成する 入力データは先頭2つが自ノード番号と出次数、以降は出次数の分だけ(接続先ID, 重み)のペアが続く """ for my_id, to_id, cost in data: self.M[my_id][to_id] = cost self.M[to_id][my_id] = cost def dijkstra(self, start): self.d[start] = 0 self.p[start] = -1 while True: mincost = Sssp.INFINITY # 以降の処理で親ノードとして働くノードuを選択する for i in range(len(self.d)): if self.color[i] != Sssp.Status.black and self.d[i] < mincost: # Sに属しておらず、Sと接続があるノードのうち重みが最小のものを選択 mincost = self.d[i] u = i # uが親ノードのID if mincost == Sssp.INFINITY: break self.color[u] = Sssp.Status.black # ノードuはSに属している側に for v in range(len(self.d)): if self.color[v] != Sssp.Status.black and self.M[u][v] != Sssp.INFINITY: # vへの重みを考えた時、新たにSに加わったuからの経路の方が重みが低ければ、その情報で更新する if self.d[u] + self.M[u][v] < self.d[v]: self.d[v] = self.d[u] + self.M[u][v] self.p[v] = u self.color[v] = Sssp.Status.gray def main(): # データの入力 N = int(eval(input())) data = [] for i in range(N-1): data.append(list(map(int, input().split(' ')))) queries = [] Q, K = [int(x) for x in input().split(' ')] for i in range(Q): queries.append([int(x) for x in input().split(' ')]) # 経路の探索 s = Sssp(N, data) s.dijkstra(K) # 結果の表示 for q in queries: print((s.d[q[0]] + s.d[q[1]])) if __name__ == '__main__': main()
# -*- coding: utf-8 -*- """ http://abc070.contest.atcoder.jp/tasks/abc070_d """ # TLEするので、ダイクストラのアルゴリズムからの高速化が必要。 # 隣接行列をやめて隣接リストにしたところ、だいぶ速度が改善された。しかし、今度はWAが出るようになった。 from enum import Enum from heapq import heappush, heappop class Sssp(object): """ single source shortest path """ class Status(Enum): """ ノードの訪問状態 """ white = 1 # 未訪問 gray = 2 # 訪問中 black = 3 #訪問済 def __init__(self, N, data): num_of_nodes = N+1 self.color = [Sssp.Status.white] * num_of_nodes # 各ノードの訪問状態 self.d = [float('inf')] * num_of_nodes # 始点からの重み self.adj = [[] for _ in range(num_of_nodes)] self.make_adj(data) def make_adj(self, data): # 隣接リストの作成 (接続先 コスト)のタプル for f, t, c in data: self.adj[f].insert(0, (t, c)) self.adj[t].insert(0, (f, c)) def dijkstra(self, start): self.d[start] = 0 pq = [(0, start)] #heappush(pq, (0, start)) while pq: cost, u = heappop(pq) self.color[u] = Sssp.Status.black if self.d[u] < cost: continue for v, c in self.adj[u]: if self.color[v] == Sssp.Status.black: continue if self.d[v] > self.d[u] + c: self.d[v] = self.d[u] + c heappush(pq, (self.d[v], v)) self.color[v] = Sssp.Status.gray def main(): # データの入力 N = int(eval(input())) data = [] for i in range(N-1): data.append(list(map(int, input().split(' ')))) queries = [] Q, K = [int(x) for x in input().split(' ')] for i in range(Q): queries.append([int(x) for x in input().split(' ')]) # 経路の探索 s = Sssp(N, data) s.dijkstra(K) # 結果の表示 for q in queries: print((s.d[q[0]] + s.d[q[1]])) if __name__ == '__main__': main()
p03634
n=int(eval(input())) l=[[] for i in range(n)] for i in range(n-1): a,b,c=list(map(int,input().split())) l[a-1].append([b-1,c]) l[b-1].append([a-1,c]) ans=[-1]*n q,k=list(map(int,input().split())) ans[k-1]=0 from collections import deque d=deque([k-1]) while d: now=d.pop() for x in l[now]: a,b=x if ans[a]<0: ans[a]=ans[now]+b d.appendleft(a) for i in range(q): a,b=list(map(int,input().split())) print((ans[a-1]+ans[b-1]))
import sys from collections import deque input = sys.stdin.readline n=int(eval(input())) l=[[] for i in range(n)] for i in range(n-1): a,b,c=list(map(int,input().split())) l[a-1].append([b-1,c]) l[b-1].append([a-1,c]) ans=[-1]*n q,k=list(map(int,input().split())) ans[k-1]=0 d=deque([k-1]) while d: now=d.pop() for x in l[now]: a,b=x if ans[a]<0: ans[a]=ans[now]+b d.appendleft(a) for i in range(q): a,b=list(map(int,input().split())) print((ans[a-1]+ans[b-1]))
p03634
# -*- coding: utf-8 -*- from collections import deque def inpl(): return list(map(int, input().split())) N = int(eval(input())) G = [[] for _ in range(N+1)] for _ in range(N-1): a, b, c = inpl() G[a].append((b, c)) G[b].append((a, c)) D = [0] * (N+1) Q, K = inpl() DQ = deque([K]) visited = [False]*(N+1) while DQ: p = DQ.popleft() visited[p] = True for q, c in G[p]: if not visited[q]: D[q] = D[p] + c DQ.append(q) for _ in range(Q): x, y = inpl() print((D[x] + D[y]))
# -*- coding: utf-8 -*- from collections import deque def inpl(): return list(map(int, input().split())) N = int(eval(input())) G = [[] for _ in range(N+1)] for _ in range(N-1): a, b, c = inpl() G[a].append((b, c)) G[b].append((a, c)) Q, K = inpl() def BFS(G, K): DQ = deque([K]) D = [0] * (N+1) visited = [False]*(N+1) while DQ: p = DQ.popleft() visited[p] = True for q, c in G[p]: if not visited[q]: D[q] = D[p] + c DQ.append(q) return D D = BFS(G, K) for _ in range(Q): x, y = inpl() print((D[x] + D[y]))
p03634
import sys sys.setrecursionlimit(1000000) n=int(eval(input())) visitedlist=[-1 for i in range(n)] kilist=[[] for i in range(n)] anslist=[0 for i in range(n)] searchedlist=[-1 for i in range(n)] for i in range(n-1): a,b,c=list(map(int,input().split())) kilist[a-1].append((b,c)) kilist[b-1].append((a,c)) def search(i): searchedlist[i-1]=1 visitedlist[i-1]=1 flag=0 for j in kilist[i-1]: if visitedlist[j[0]-1]<0: visitedlist[j[0]-1]=1 flag+=1 anslist[j[0]-1]=anslist[i-1]+j[1] else: pass if flag>0: for k in kilist[i-1]: if searchedlist[k[0]-1]==-1: search(k[0]) q,k=list(map(int,input().split())) List=[0 for i in range(q)] search(k) for i in range(q): x,y=list(map(int,input().split())) List[i]=anslist[x-1]+anslist[y-1] for j in List: print(j)
import sys input=sys.stdin.readline sys.setrecursionlimit(1000000) n=int(eval(input())) visitedlist=[-1 for i in range(n)] kilist=[[] for i in range(n)] anslist=[0 for i in range(n)] searchedlist=[-1 for i in range(n)] for i in range(n-1): a,b,c=list(map(int,input().split())) kilist[a-1].append((b,c)) kilist[b-1].append((a,c)) def search(i): searchedlist[i-1]=1 visitedlist[i-1]=1 flag=0 for j in kilist[i-1]: if visitedlist[j[0]-1]<0: visitedlist[j[0]-1]=1 flag+=1 anslist[j[0]-1]=anslist[i-1]+j[1] else: pass if flag>0: for k in kilist[i-1]: if searchedlist[k[0]-1]==-1: search(k[0]) q,k=list(map(int,input().split())) List=[0 for i in range(q)] search(k) for i in range(q): x,y=list(map(int,input().split())) List[i]=anslist[x-1]+anslist[y-1] for j in List: print(j)
p03634
N = int(eval(input())) M = N-1 inf = float("inf") dp = [[inf]*N for _ in [0]*N] for i in range(N):dp[i][i] = 0 q = [list(map(int, input().split())) for i in range(M)] Q , K = list(map(int, input().split())) p = [list(map(int, input().split())) for i in range(Q)] ans = 0 for a,b,c in q: dp[a-1][b-1] = c dp[b-1][a-1] = c for k in range(N): for i in range(N): for j in range(N): dp[i][j] = min(dp[i][j],dp[i][k]+dp[k][j]) for a,b in p: print((dp[a-1][K-1]+dp[K-1][b-1]))
N = int(eval(input())) tree = [[] for _ in range(N)] for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) K -= 1 depth = [0 for _ in range(N)] def dfs(v, p = -1, d = 0): St = [] St.append([v, p, d]) # 空のシーケンスは偽になる while St: cur = St.pop() depth[cur[0]] = cur[2] for i, j in tree[cur[0]]: if i == cur[1]: continue St.append([i, cur[0], cur[2] + j]) dfs(K) for i in range(Q): x, y = list(map(int, input().split())) x -= 1; y -= 1 print((depth[x] + depth[y]))
p03634
import queue N = int(eval(input())) tree = [[] for _ in range(N)] for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) K -= 1 depth = [0 for _ in range(N)] def bfs(v, p = -1, d = 0): q = queue.Queue() q.put([v, p, d]) while not q.empty(): cur = q.get() depth[cur[0]] = cur[2] for i, j in tree[cur[0]]: if i == cur[1]: continue q.put([i, cur[0], cur[2] + j]) bfs(K) for i in range(Q): x, y = list(map(int, input().split())) x -= 1 y -= 1 print((depth[x] + depth[y]))
from collections import deque N = int(eval(input())) tree = [[] for _ in range(N)] for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) K -= 1 depth = [0 for _ in range(N)] def bfs(v, p = -1, d = 0): q = deque() q.append([v, p, d]) while len(q)>0: cur = q.popleft() depth[cur[0]] = cur[2] for i, j in tree[cur[0]]: if i == cur[1]: continue q.append([i, cur[0], cur[2] + j]) bfs(K) for i in range(Q): x, y = list(map(int, input().split())) x -= 1 y -= 1 print((depth[x] + depth[y]))
p03634
from collections import deque # # N = 5 # ARR = [ # [1, 2, 1], # [1, 3, 1], # [2, 4, 1], # [3, 5, 1] # ] # # Q, K = 3, 1 # # BRR = [ # [2, 4], # [2, 3], # [4, 5], # ] # # # N = 7 # ARR = [ # [1, 2, 1], # [1, 3, 3], # [1, 4, 5], # [1, 5, 7], # [1, 6, 9], # [1, 7, 11], # ] # # Q, K = 3, 2 # # BRR = [ # [1, 3], # [4, 5], # [6, 7], # ] # # # N = 10 # ARR = [ # [1, 2, 1000000000], # [2, 3, 1000000000], # [3, 4, 1000000000], # [4, 5, 1000000000], # [5, 6, 1000000000], # [6, 7, 1000000000], # [7, 8, 1000000000], # [8, 9, 1000000000], # [9, 10, 1000000000] # ] # # Q, K = 1, 1 # # BRR = [ # [9, 10] # ] N = int(eval(input())) ARR = [list(map(int,input().split())) for i in range(N-1)] Q, K = list(map(int,input().split())) BRR = [list(map(int,input().split())) for i in range(Q)] def prepare(n, arr): links = {} nodeStatus = {} distances = {} finalDistance = {} for i in range(1, N + 1): nodeStatus.__setitem__(i, False) finalDistance.__setitem__(i, 0) for i in range(len(arr)): tmp = arr[i] startNode = tmp[0] endNode = tmp[1] distance = tmp[2] distances.__setitem__((startNode, endNode), distance) distances.__setitem__((endNode, startNode), distance) if links.get(startNode) == None: links.__setitem__(startNode, [endNode]) else: tmpChild = links.get(startNode) tmpChild.append(endNode) links.__setitem__(startNode, tmpChild) if links.get(endNode) == None: links.__setitem__(endNode, [startNode]) else: tmpChild = links.get(endNode) tmpChild.append(startNode) links.setdefault(endNode, tmpChild) return links, nodeStatus, distances, finalDistance def bfs(startNode): q = deque() q.append((startNode, 0)) while len(q): currentNode, dist = q.popleft() finalDistance.__setitem__(currentNode, dist) nodeStatus.__setitem__(currentNode, True) childNodes = links.get(currentNode) for childNode in childNodes: if nodeStatus.get(childNode) == False: q.append((childNode, dist + distances.get((currentNode, childNode)))) links, nodeStatus, distances, finalDistance = prepare(N, ARR) # print(links) # print(nodeStatus) # print(distances) # print(finalDistance) bfs(K) for i in range(Q): dist1 = finalDistance[BRR[i][0]] dist2 = finalDistance[BRR[i][1]] print((dist1 + dist2))
import sys sys.setrecursionlimit(20000000) # N = 5 # ARR = [ # [1, 2, 1], # [1, 3, 1], # [2, 4, 1], # [3, 5, 1] # ] # # Q, K = 3, 1 # # BRR = [ # [2, 4], # [2, 3], # [4, 5], # ] # # N = int(eval(input())) ARR = [list(map(int,input().split())) for i in range(N-1)] Q, K = list(map(int,input().split())) BRR = [list(map(int,input().split())) for i in range(Q)] def prepare(arr, n): links = [[] for i in range(n)] depth = [0 for i in range(n)] for i in range(n - 1): startNode = arr[i][0] - 1 endNode = arr[i][1] - 1 dist = arr[i][2] links[startNode].append((endNode, dist)) links[endNode].append((startNode, dist)) return links, depth def dfs(currentNode, parrentNode=-1, dist=0): childNodes = links[currentNode] depths[currentNode] = dist for (childNode, childDistance) in childNodes: if childNode == parrentNode: continue dfs(childNode, currentNode, dist + childDistance) links, depths = prepare(ARR, N) dfs(K - 1) for i in range(Q): p1 = BRR[i][0] - 1 p2 = BRR[i][1] - 1 d1 = depths[p1] d2 = depths[p2] print((d1 + d2))
p03634
import heapq N = int(eval(input())) G = [[] for _ in range(N)] for _ in range(N - 1): a, b, c = list(map(int, input().split())) G[a - 1].append([c, b - 1]) G[b - 1].append([c, a - 1]) Q, K = list(map(int, input().split())) def dijkstra(s, N, G, x, y): d = [20 ** 9] * N d[s] = 0 hq = [[0, s]] heapq.heapify(hq) while len(hq) > 0: v, i = heapq.heappop(hq) if d[i] < v: continue for c, j in G[i]: if d[j] > d[i] + c: d[j] = d[i] + c heapq.heappush(hq, [d[j], j]) return d[x] + d[y] dist = [0] * Q for i in range(Q): x, y = list(map(int, input().split())) dist[i] = dijkstra(K - 1, N, G, x - 1, y - 1) for d in dist: print(d)
import heapq N = int(eval(input())) G = [[] for _ in range(N)] for _ in range(N - 1): a, b, c = list(map(int, input().split())) G[a - 1].append([c, b - 1]) G[b - 1].append([c, a - 1]) Q, K = list(map(int, input().split())) def dijkstra(s, N, G): d = [float('inf')] * N d[s] = 0 hq = [[0, s]] heapq.heapify(hq) while len(hq) > 0: v, i = heapq.heappop(hq) if d[i] < v: continue for c, j in G[i]: if d[j] > d[i] + c: d[j] = d[i] + c heapq.heappush(hq, [d[j], j]) return d D = dijkstra(K - 1, N, G) dist = [0] * Q for i in range(Q): x, y = list(map(int, input().split())) dist[i] = D[x - 1] + D[y - 1] for d in dist: print(d)
p03634
import sys input = sys.stdin.readline sys.setrecursionlimit(10**7) INF = 10**5 n = int(eval(input())) graph = [[] for _ in range(n+1)] d = [[INF]*(n+1) for _ in range(n+1)] for _ in range(n-1): a, b, c = list(map(int, input().split())) d[a][b] = d[b][a] = c graph[a].append(b) graph[b].append(a) q, k = list(map(int, input().split())) dist = [INF]*(n+1) def dfs(v1, parent, add): dist[v1] = add for v2 in graph[v1]: if v2 == parent: continue dfs(v2, v1, add + d[v1][v2]) dfs(k, -1, 0) for _ in range(q): x, y = list(map(int, input().split())) print((dist[x]+dist[y]))
import sys input = sys.stdin.readline sys.setrecursionlimit(10**7) INF = 10**9+1 n = int(eval(input())) graph = [[] for _ in range(n+1)] for _ in range(n-1): a, b, c = list(map(int, input().split())) graph[a].append((b, c)) graph[b].append((a, c)) q, k = list(map(int, input().split())) dist = [INF]*(n+1) def dfs(v1, parent, add): dist[v1] = add for v2, d in graph[v1]: if v2 == parent: continue dfs(v2, v1, add + d) dfs(k, -1, 0) for _ in range(q): x, y = list(map(int, input().split())) print((dist[x]+dist[y]))
p03634
import sys import heapq input = sys.stdin.readline n = int(eval(input())) edges = [[]for _ in range(n)] for _ in range(n-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 edges[a].append((c, b)) edges[b].append((c, a)) INF = float('inf') def dijkstra(init_v): dist = [INF]*n dist[init_v] = 0 tasks = [(0, init_v)] while tasks: d, v = heapq.heappop(tasks) if dist[v] < d: continue for d2, v2 in edges[v]: if dist[v2] <= dist[v]+d2: continue dist[v2] = dist[v]+d2 heapq.heappush(tasks, ((dist[v2], v2))) return dist q, k = list(map(int, input().split())) dist = dijkstra(k-1) for _ in range(q): x, y = [int(x)-1 for x in input().split()] print((dist[x]+dist[y]))
import sys input = sys.stdin.readline sys.setrecursionlimit(10**7) n = int(eval(input())) edges = [[]for _ in range(n)] for _ in range(n-1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 edges[a].append((c, b)) edges[b].append((c, a)) INF = float('inf') def dfs(v, parent, distance): dist[v] = distance for d, v2 in edges[v]: if parent == v2: continue dfs(v2, v, distance+d) q, k = list(map(int, input().split())) dist = [INF]*n dfs(k-1, -1, 0) for _ in range(q): x, y = [int(x)-1 for x in input().split()] print((dist[x]+dist[y]))
p03634
import heapq n = int(eval(input())) g = [[] for _ in range(n)] for i in range(n-1): a, b, c = list(map(int, input().split())) g[a-1].append((b-1, c)) g[b-1].append((a-1, c)) ans = [] q, k = list(map(int, input().split())) for i in range(q): x, y = list(map(int, input().split())) res = 0 # x -> k dis = [float("inf")] * n dis[x-1] = 0 pq = [(0, x-1)] while pq: d, node = heapq.heappop(pq) if d > dis[node]: continue for nxt, cost in g[node]: if d + cost < dis[nxt]: dis[nxt] = d + cost heapq.heappush(pq, (dis[nxt], nxt)) res += dis[k-1] # k -> y dis = [float("inf")] * n dis[k-1] = 0 pq = [(0, k-1)] while pq: d, node = heapq.heappop(pq) if d > dis[node]: continue for nxt, cost in g[node]: if d + cost < dis[nxt]: dis[nxt] = d + cost heapq.heappush(pq, (dis[nxt], nxt)) res += dis[y-1] ans.append(res) print(("\n".join(map(str, ans))))
import heapq n = int(eval(input())) g = [[] for _ in range(n)] for i in range(n-1): a, b, c = list(map(int, input().split())) g[a-1].append((b-1, c)) g[b-1].append((a-1, c)) q, k = list(map(int, input().split())) dis = [float("inf")] * n dis[k-1] = 0 pq = [(0, k-1)] while pq: d, node = heapq.heappop(pq) if d > dis[node]: continue for nxt, cost in g[node]: if d + cost < dis[nxt]: dis[nxt] = d + cost heapq.heappush(pq, (dis[nxt], nxt)) ans = [] for i in range(q): x, y = list(map(int, input().split())) ans.append(dis[x-1]+dis[y-1]) print(("\n".join(map(str, ans))))
p03634
import queue from sys import stdin input = stdin.readline N = int(input()) tree = [[] for _ in range(N)] for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1; b -= 1; tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) K -= 1 d = [float("inf") for _ in range(N)] def dijkstra(s): que = queue.PriorityQueue() d[s] = 0 que.put([0, s]) while not que.empty(): p = que.get() v = p[1] if d[v] < p[0]: continue for i, j in tree[v]: if d[i] > d[v] + j: d[i] = d[v] + j que.put([d[i], i]) dijkstra(K) for i in range(Q): x, y = list(map(int, input().split())) x -= 1; y -= 1 print(d[x] + d[y])
#!/usr/bin/env python2 # -*- coding: utf-8 -*- import sys sys.setrecursionlimit(200000) N = int(input()) tree = [[] for _ in range(N)] for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1; b -= 1; tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) K -= 1 depth = [0 for _ in range(N)] def dfs(v, p = -1, d = 0): depth[v] = d for i, j in tree[v]: if i == p: continue dfs(i, v, d + j) dfs(K) for i in range(Q): x, y = list(map(int, input().split())) x -= 1; y -= 1 print(depth[x] + depth[y])
p03634
#!/usr/bin/env python2 # -*- coding: utf-8 -*- import queue N = int(input()) tree = [[] for _ in range(N)] for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1; b -= 1; tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) K -= 1 d = [float("inf") for _ in range(N)] def dijkstra(s): que = queue.PriorityQueue() d[s] = 0 que.put([0, s]) while not que.empty(): p = que.get() v = p[1] if d[v] < p[0]: continue for i, j in tree[v]: if d[i] > d[v] + j: d[i] = d[v] + j que.put([d[i], i]) dijkstra(K) for i in range(Q): x, y = list(map(int, input().split())) x -= 1; y -= 1 print(d[x] + d[y])
#!/usr/bin/env python2 # -*- coding: utf-8 -*- N = int(input()) tree = [[] for _ in range(N)] for i in range(N-1): a, b, c = list(map(int, input().split())) a -= 1; b -= 1; tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) K -= 1 depth = [0 for _ in range(N)] def dfs(v, p = -1, d = 0): St = [] St.append([v, p, d]) # 空のシーケンスは偽になる while St: cur = St.pop() depth[cur[0]] = cur[2] for i, j in tree[cur[0]]: if i == cur[1]: continue St.append([i, cur[0], cur[2] + j]) dfs(K) for i in range(Q): x, y = list(map(int, input().split())) x -= 1; y -= 1 print(depth[x] + depth[y])
p03634
import sys input = sys.stdin.readline sys.setrecursionlimit(1000000) from collections import deque def getN(): return int(eval(input())) def getList(): return list(map(int, input().split())) import math n = getN() vtxs = [[] for i in range(n)] dist = [0 for i in range(n)] visit = [0 for i in range(n)] for i in range(n-1): a,b,c = getList() vtxs[a-1].append((b-1 ,c)) vtxs[b-1].append((a-1 ,c)) ques, k = getList() from collections import deque q = deque([k-1]) visit[k-1] = 1 while(q): cur = q.popleft() cdist = dist[cur] for nx in vtxs[cur]: nxa, nxc = nx if visit[nxa] == 0: dist[nxa] = cdist + nxc visit[nxa] = 1 q.append(nxa) for i in range(ques): x, y = getList() print((dist[x-1] + dist[y-1]))
import sys # from collections import defaultdict, deque import math # import copy # from bisect import bisect_left, bisect_right import heapq # sys.setrecursionlimit(1000000) # input aliases input = sys.stdin.readline getS = lambda: input().strip() getN = lambda: int(eval(input())) getList = lambda: list(map(int, input().split())) getZList = lambda: [int(x) - 1 for x in input().split()] INF = 10 ** 20 MOD = 1000000007 def dijkstra(graph, start, n): h = [] heapq.heappush(h, (0, start)) costs = [INF for _ in range(n)] while h: cost, cur = heapq.heappop(h) if costs[cur] != INF: continue costs[cur] = cost for edge in graph[cur]: ecost, tgt = edge if costs[tgt] == INF: heapq.heappush(h, (cost + ecost, tgt)) return costs def solve(): n = getN() graph = [[] for _ in range(n)] for i in range(n-1): a,b,c = getList() a,b = a-1, b-1 graph[a].append([c, b]) graph[b].append([c, a]) q, k = getList() costs = dijkstra(graph, k-1, n) # print(costs) for i in range(q): s, e = getZList() print((costs[s] + costs[e])) return def main(): n = getN() for _ in range(n): solve() if __name__ == "__main__": # main() solve()
p03634
import heapq V = int(eval(input())) E = V - 1 G = {} for i in range(V): G[i] = {} for _ in range(E): s, t, c = [int(_) for _ in input().split()] s -= 1 # 0-indexed t -= 1 # 0-indexed G[s][t] = c G[t][s] = c Q, K = [int(_) for _ in input().split()] K -= 1 # 0-indexed XY = [[int(_) for _ in input().split()] for _ in range(Q)] INF = float('inf') que = [] i = K d = 0 D = [INF] * V D[i] = 0 used = [False] * V used[i] = True while True: for j in list(G[i].keys()): heapq.heappush(que, (d + G[i][j], j)) v = -1 while que: d, j = heapq.heappop(que) if not used[j]: v = j break if v == -1: break else: used[v] = True D[v] = d i = v for x, y in XY: x -= 1 # 0-indexed y -= 1 # 0-indexed print((D[x] + D[y]))
V = int(eval(input())) E = V - 1 G = {} for i in range(V): G[i] = {} for _ in range(E): s, t, c = [int(_) for _ in input().split()] s -= 1 # 0-indexed t -= 1 # 0-indexed G[s][t] = c G[t][s] = c Q, K = [int(_) for _ in input().split()] K -= 1 # 0-indexed XY = [[int(_) for _ in input().split()] for _ in range(Q)] INF = float('inf') D = [INF] * V D[K] = 0 cand = [] for j in list(G[K].keys()): cand += [(K, j)] while True: if cand: x, y = cand.pop() if D[y] == INF: D[y] = D[x] + G[x][y] for z in list(G[y].keys()): cand += [(y, z)] else: break for x, y in XY: x -= 1 y -= 1 print((D[x] + D[y]))
p03634
def main(): import sys input = sys.stdin.readline sys.setrecursionlimit(10**7) from collections import Counter, deque #from collections import defaultdict from itertools import combinations, permutations, accumulate, groupby #from itertools import product from bisect import bisect_left,bisect_right from heapq import heapify, heappop, heappush from math import floor, ceil #from operator import itemgetter #inf = 10**17 #mod = 10**9 + 7 N = int(eval(input())) def dfs(v): visited[v] = 1 for cost, nv in edge[v]: if visited[nv] == 1: continue d[nv] = d[v] + cost dfs(nv) #N:頂点数 W:辺数 edge = [[] for i in range(N)] #edge[i] : iから出る道の[重み,行先]の配列 for _ in range(N-1): x,y,z = list(map(int,input().split())) edge[x-1].append((z,y-1)) edge[y-1].append((z,x-1)) q,k = list(map(int, input().split())) d = [-1]*N d[k-1] = 0 visited = [0]*N dfs(k-1) for _ in range(q): x,y = list(map(int, input().split())) print((d[x-1]+d[y-1])) if __name__ == '__main__': main()
def main(): import sys input = sys.stdin.readline sys.setrecursionlimit(10**7) from collections import Counter, deque #from collections import defaultdict from itertools import combinations, permutations, accumulate, groupby #from itertools import product from bisect import bisect_left,bisect_right from heapq import heapify, heappop, heappush from math import floor, ceil #from operator import itemgetter #inf = 10**17 #mod = 10**9 + 7 N = int(eval(input())) inf = 10**17 def dijkstra_heap(start,edge): #始点から各頂点への最短距離(頂点番号:0~N-1) d = [inf]*N used = [False]*N d[start] = 0 used[start] = True edgelist = [] #a:重み(//), b:次の頂点(%) for a,b in edge[start]: heappush(edgelist,a*(10**6)+b) while len(edgelist): #まだ最短距離が決まっていない頂点の中から最小の距離のものを探す minedge = heappop(edgelist) if used[minedge%(10**6)]: continue node = minedge%(10**6) d[node] = minedge//(10**6) used[node] = True for e in edge[node]: if not used[e[1]]: heappush(edgelist,(e[0]+d[node])*(10**6)+e[1]) return d #N:頂点数 W:辺数 edge = [[] for i in range(N)] #edge[i] : iから出る道の[重み,行先]の配列 for _ in range(N-1): x,y,z = list(map(int,input().split())) edge[x-1].append((z,y-1)) edge[y-1].append((z,x-1)) q,k = list(map(int, input().split())) d = dijkstra_heap(k-1, edge) for _ in range(q): x,y = list(map(int, input().split())) print((d[x-1]+d[y-1])) if __name__ == '__main__': main()
p03634
import sys sys.setrecursionlimit(500000) N = int(eval(input())) tree = [[] for _ in range(N+1)] for _ in range(N-1): a, b, c = list(map(int, input().split())) tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) from functools import lru_cache @lru_cache(maxsize=None) def dfs(start, end, dist, f=None): if start == end: return 0 for n, d in tree[start]: if n == f: continue if n == end: return dist + d else: result = dfs(n, end, dist+d, start) if result is not None: return result xy = [list(map(int, input().split())) for i in range(Q)] for i in range(Q): x, y = xy[i] print((dfs(x, K, 0) + dfs(K, y, 0)))
import sys sys.setrecursionlimit(500000) N = int(eval(input())) tree = [[] for _ in range(N+1)] for _ in range(N-1): a, b, c = list(map(int, input().split())) tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) def dfs(start, dist, dists, f=None): for n, d in tree[start]: if n == f: continue dists[n] = dist + d dfs(n, dist+d, dists, start) xy = [list(map(int, input().split())) for i in range(Q)] dists = [0] * (N+1) dfs(K, 0, dists) for i in range(Q): x, y = xy[i] print((dists[x] + dists[y]))
p03634
import sys sys.setrecursionlimit(500000) N = int(eval(input())) tree = [[] for _ in range(N+1)] for _ in range(N-1): a, b, c = list(map(int, input().split())) tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) def dfs(start, dist, dists, f=None): for n, d in tree[start]: if n == f: continue dists[n] = dist + d dfs(n, dist+d, dists, start) xy = [list(map(int, input().split())) for i in range(Q)] dists = [0] * (N+1) dfs(K, 0, dists) for i in range(Q): x, y = xy[i] print((dists[x] + dists[y]))
import sys sys.setrecursionlimit(500000) import sys def input(): return sys.stdin.readline()[:-1] N = int(eval(input())) tree = [[] for _ in range(N+1)] for _ in range(N-1): a, b, c = list(map(int, input().split())) tree[a].append((b, c)) tree[b].append((a, c)) Q, K = list(map(int, input().split())) def dfs(start, dist, dists, f=None): for n, d in tree[start]: if n == f: continue dists[n] = dist + d dfs(n, dist+d, dists, start) xy = [list(map(int, input().split())) for i in range(Q)] dists = [0] * (N+1) dfs(K, 0, dists) for i in range(Q): x, y = xy[i] print((dists[x] + dists[y]))
p03634
from collections import deque n = int(eval(input())) gr = { i:[] for i in range(1, n + 1)} for _ in range(n - 1): a, b, c = list(map(int, input().split())) gr[a].append((b, c)) gr[b].append((a, c)) q, k = list(map(int, input().split())) dmax = 10**14 + 1 dist = [dmax for _ in range(n + 1)] dist[k] = 0 ls = deque([k]) while 0 < len(ls): u = ls[0] for v, c in gr[u]: if dist[v] == dmax: dist[v] = dist[u] + c ls.append(v) ls.popleft() for _ in range(q): x, y = list(map(int, input().split())) print((dist[x] + dist[y]))
from collections import deque n = int(eval(input())) gr = { i:[] for i in range(1, n + 1)} for _ in range(n - 1): a, b, c = list(map(int, input().split())) gr[a].append((b, c)) gr[b].append((a, c)) q, k = list(map(int, input().split())) dmax = 10**14 + 1 dist = [dmax for _ in range(n + 1)] dist[k] = 0 ls = deque([k]) while 0 < len(ls): u = ls.popleft() for v, c in gr[u]: if dist[v] == dmax: dist[v] = dist[u] + c ls.append(v) for _ in range(q): x, y = list(map(int, input().split())) print((dist[x] + dist[y]))
p03634
n=int(eval(input())) G=[[] for i in range(n)] for i in range(n-1): a,b,c=list(map(int,input().split())) G[a-1].append((b-1,c)) G[b-1].append((a-1,c)) q,k=list(map(int,input().split())) k=k-1 stack=[k] dis=[-1]*n dis[k]=0 from collections import deque stack=deque(stack) while len(stack)>0: now=stack.pop() d=dis[now] for i in G[now]: if dis[i[0]]==-1: dis[i[0]]=d+i[1] stack.append(i[0]) for i in range(q): x,y=list(map(int,input().split())) x=x-1 y=y-1 print((dis[x]+dis[y]))
n=int(eval(input())) G=[[] for i in range(n)] for i in range(n-1): a,b,c=list(map(int,input().split())) G[a-1].append((b-1,c)) G[b-1].append((a-1,c)) q,k=list(map(int,input().split())) k=k-1 stack=[k] dis=[-1]*n dis[k]=0 while stack!=[]: now=stack.pop() d=dis[now] for i in G[now]: if dis[i[0]]==-1: dis[i[0]]=d+i[1] stack.append(i[0]) for i in range(q): x,y=list(map(int,input().split())) x=x-1 y=y-1 print((dis[x]+dis[y]))
p03634
from collections import deque N = int(input()) T = [[] for i in range(N)] for i in range(N-1) : u,v,c = map(int,input().split()) u -= 1 v -= 1 T[u].append([v,c]) T[v].append([u,c]) Q,K = map(int,input().split()) K -= 1 L = [] for i in range(Q) : u,v = map(int,input().split()) u -= 1 v -= 1 L.append([u,v]) dist = [0]*N q = deque([[K,0]]) explored = [0]*N C = [] while q : now,c = q.pop() if not explored[now] : C.append(c) dist[now] = sum(C) explored[now] = 1 flg = 1 while T[now] : to, c = T[now].pop(0) if explored[to] : continue q.append([now, 0]) q.append([to, c]) flg = 0 break if flg : if len(T[now]) == 0 : C.pop(-1) #print("now:", now, "C:", C) ans = [] for i in range(Q) : u,v = L[i] calc = dist[u] + dist[v] ans.append(calc) print(*ans, sep="\n")
import sys sys.setrecursionlimit(10**9) N = int(input()) T = [[] for i in range(N+1)] for i in range(N-1) : a,b,c = map(int,input().split()) T[a].append([b,c]) T[b].append([a,c]) Q,K = map(int,input().split()) dist = [None]*(N+1) def dfs(now,d) : dist[now] = d for to,c in T[now] : if dist[to] is not None : continue dfs(to,d+c) dfs(K,0) ans = [] for i in range(Q) : u,v = map(int,input().split()) ans.append(dist[u]+dist[v]) print(*ans,sep="\n")
p03634
### bfs ### import sys input = sys.stdin.readline sys.setrecursionlimit(10**6) N = int(eval(input())) G = [[] for _ in range(N)] dis = [-1]*N que = [] for _ in range(N-1): a, b, c = list(map(int, input( ).split( ))) a -= 1 b -= 1 G[a].append([b,c]) G[b].append([a,c]) Q, K = list(map(int, input().split())) K -= 1 dis[K] = 0 que.append(K) #dfs while que: p = que.pop(0) for i in range(len(G[p])): n_p, d = G[p][i] if dis[n_p] != -1: continue que.append(n_p) dis[n_p] = dis[p] + d for i in range(Q): x, y = list(map(int, input().split())) x -= 1 y -= 1 ans = dis[x]+dis[y] print(ans)
### dfs ### import sys input = sys.stdin.readline sys.setrecursionlimit(10**6) N = int(eval(input())) G = [[] for _ in range(N)] dis = [-1]*N for _ in range(N-1): a, b, c = list(map(int, input( ).split( ))) a -= 1 b -= 1 G[a].append([b,c]) G[b].append([a,c]) Q, K = list(map(int, input().split())) K -= 1 dis[K] = 0 def dfs(pos): for n_pos, n_cost in G[pos]: if dis[n_pos] != -1: continue dis[n_pos] = dis[pos]+n_cost dfs(n_pos) dfs(K) for i in range(Q): x, y = list(map(int, input().split())) x -= 1 y -= 1 ans = dis[x]+dis[y] print(ans)
p03634
import sys from collections import defaultdict from heapq import heappush, heappop def input(): return sys.stdin.readline().strip() def dijkstra(adj_list, start): n = len(adj_list) dist = [float("inf")] * n dist[start] = 0 pq = [] heappush(pq, (0, start)) visited = set() while pq: w, v = heappop(pq) if dist[v] < w: continue visited.add(v) for nv, nw in adj_list[v]: if nv in visited: continue if dist[nv] > dist[v] + nw: dist[nv] = dist[v] + nw heappush(pq, (dist[nv], nv)) return dist N = int(eval(input())) g = defaultdict(list) for _ in range(N - 1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 g[a].append((b, c)) g[b].append((a, c)) Q, K = list(map(int, input().split())) K -= 1 d = dijkstra(g, K) ans = [] for _ in range(Q): x, y = list(map(int, input().split())) x -= 1 y -= 1 print((d[x] + d[y]))
import sys from collections import deque def input(): return sys.stdin.readline().strip() def bfs(start): q = deque([start]) dist = [-1] * (N + 1) dist[start] = 0 while q: v = q.popleft() for nv, nw in g[v]: if dist[nv] > 0: continue dist[nv] = dist[v] + nw q.append(nv) return dist N = int(eval(input())) g = [[] for _ in range(N + 1)] for _ in range(N - 1): a, b, c = list(map(int, input().split())) g[a].append((b, c)) g[b].append((a, c)) Q, K = list(map(int, input().split())) d = bfs(K) ans = [] for _ in range(Q): x, y = list(map(int, input().split())) print((d[x] + d[y]))
p03634
from collections import defaultdict from collections import deque n = int(eval(input())) tree = defaultdict(list) for i in range(n-1): a, b, c = list(map(int, input().split())) tree[a].append([b, c]) tree[b].append([a, c]) def distance(x, y): seen = set() d = 0 stack = deque([[tree[x], d]]) flag = True while flag: connect, d = stack.popleft() for i in connect: if i[0] not in seen: seen.add(i[0]) d += i[1] if i[0] == y: flag = False break stack.append([tree[i[0]], d]) d -= i[1] return d q, k = list(map(int, input().split())) dis_l = {} for i in range(n): dis_l[i+1] = distance(i + 1, k) for i in range(q): x, y = list(map(int, input().split())) print((dis_l[x] + dis_l[y]))
from collections import defaultdict from collections import deque n = int(eval(input())) tree = defaultdict(list) for i in range(n-1): a, b, c = list(map(int, input().split())) tree[a].append([b, c]) tree[b].append([a, c]) def distance(k): seen = set() dis_l = {} d = 0 stack = deque([[tree[k], d]]) flag = True while stack: connect, d = stack.popleft() for i in connect: if i[0] not in seen: seen.add(i[0]) d += i[1] dis_l[i[0]] = d stack.append([tree[i[0]], d]) d -= i[1] return dis_l q, k = list(map(int, input().split())) dis_l = distance(k) for i in range(q): x, y = list(map(int, input().split())) print((dis_l[x] + dis_l[y]))
p03634
n = int(eval(input())) cs = [[0] * (n + 1) for _ in range(n + 1)] es = [[] for _ in range(n + 1)] for _ in range(n - 1): a, b, c = list(map(int, input().split())) cs[a][b] = cs[b][a] = c es[a].append(b) es[b].append(a) ds = [0] * (n + 1) qs = [] def bfs(): cur, prev = qs.pop() ds[cur] = ds[prev] + cs[prev][cur] for e in es[cur]: if e != prev: qs.append((e, cur)) q, k = list(map(int, input().split())) qs.append((k, k)) while qs: bfs() for _ in range(q): x, y = list(map(int, input().split())) print((ds[x] + ds[y]))
n = int(eval(input())) cs = [[0] * (n + 1) for _ in range(n + 1)] es = [[] for _ in range(n + 1)] for _ in range(n - 1): a, b, c = list(map(int, input().split())) cs[a][b] = cs[b][a] = c es[a].append(b) es[b].append(a) ds = [0] * (n + 1) def dfs(cur, prev): ds[cur] = ds[prev] + cs[prev][cur] for e in es[cur]: if e != prev: dfs(e, cur) q, k = list(map(int, input().split())) dfs(k, k) for _ in range(q): x, y = list(map(int, input().split())) print((ds[x] + ds[y]))
p03634
n=int(eval(input())) edges=[[] for i in range(n)] for i in range(n-1): a,s,d=list(map(int,input().split())) edges[a-1].append((s-1,d));edges[s-1].append((a-1,d)) q,k=list(map(int,input().split())) cost=[0]*n from collections import deque dq=deque([]) #pop/append/(append,pop)_left/in/len/count/[]/index/rotate()(右へnずらす) for to,cos in edges[k-1]: dq.append((k-1,to)) cost[to]=cos while dq: par,now=dq.popleft() for to,c in edges[now]: if to!=par: cost[to]=cost[now]+c dq.append((now,to)) for i in range(q): x,y=list(map(int,input().split())) print((cost[x-1]+cost[y-1]))
import sys input=sys.stdin.buffer.readline sys.setrecursionlimit(10**9) n=int(eval(input())) edges=[[] for i in range(n)] for i in range(n-1): a,s,d=list(map(int,input().split())) edges[a-1].append((s-1,d));edges[s-1].append((a-1,d)) q,k=list(map(int,input().split())) cost=[0]*n from collections import deque dq=deque([]) #pop/append/(append,pop)_left/in/len/count/[]/index/rotate()(右へnずらす) for to,cos in edges[k-1]: dq.append((k-1,to)) cost[to]=cos while dq: par,now=dq.popleft() for to,c in edges[now]: if to!=par: cost[to]=cost[now]+c dq.append((now,to)) for i in range(q): x,y=list(map(int,input().split())) print((cost[x-1]+cost[y-1]))
p03634
import sys import os from collections import defaultdict adj = defaultdict(list) vis =[0 for i in range(1000000)] dis =[0 for i in range(1000000)] def dfs(u, p): for v, w in adj[u]: if v==p: continue dis[v]=dis[u]+w dfs(v, u) def main(): n = int(eval(input())) for i in range(n-1): a, b, w = list(map(int , input().split())) adj[a].append((b, w)) adj[b].append((a, w)) q, k = list(map(int , input().split())) sys.setrecursionlimit(1000000) dfs(k , 0) for i in range(q): x, y =list(map(int , input().split())) print((dis[x]+dis[y])) # rec_limit= sys.getrecursionlimit() # print(rec_limit) if __name__ == "__main__": main()
import sys import os from collections import defaultdict adj = defaultdict(list) vis =[0 for i in range(1000000)] dis =[0 for i in range(1000000)] # since it's a tree shortest path will be only one and unique between two node # find distance from k to each and every node def dfs(u, p): for v, w in adj[u]: if v==p: continue dis[v]=dis[u]+w dfs(v, u) def main(): n = int(eval(input())) for i in range(n-1): a, b, w = list(map(int , input().split())) adj[a].append((b, w)) adj[b].append((a, w)) q, k = list(map(int , input().split())) sys.setrecursionlimit(1000000) dfs(k , 0) for i in range(q): x, y =list(map(int , input().split())) # print the sum of the two distance from k print((dis[x]+dis[y])) # rec_limit= sys.getrecursionlimit() # print(rec_limit) if __name__ == "__main__": main()
p03634
from heapq import heappop, heappush n = int(eval(input())) INF = 10**13 g = [[INF for __ in range(n)] for _ in range(n)] for _ in range(n-1): a, b, c = list(map(int, input().split())) g[a-1][b-1] = c g[b-1][a-1] = c def dijkstra(s, n, edges): # edges[i][j] : the cost of i→j # import 'heap' d = [INF] * n d[s] = 0 q = [(0, s)] while q: dist_u, u = heappop(q) if d[u] < dist_u: continue for v, c in enumerate(edges[u]): if d[v] > dist_u + c: d[v] = dist_u + c heappush(q, (d[v], v)) return d q, k = list(map(int, input().split())) d = dijkstra(k-1, n, g) for _ in range(q): x, y = list(map(int, input().split())) print((d[x-1]+d[y-1]))
from heapq import heappop, heappush n = int(eval(input())) g = [[] for _ in range(n)] for _ in range(n-1): a, b, c = list(map(int, input().split())) g[a-1].append((b-1, c)) g[b-1].append((a-1, c)) def dijkstra(s, n, edges): # edges[i][j] : the cost of i→j # import 'heap' d = [10**18] * n d[s] = 0 q = [(0, s)] while q: dist_u, u = heappop(q) if d[u] < dist_u: continue for v, c in edges[u]: if d[v] > dist_u + c: d[v] = dist_u + c heappush(q, (d[v], v)) return d q, k = list(map(int, input().split())) d = dijkstra(k-1, n, g) for _ in range(q): x, y = list(map(int, input().split())) print((d[x-1]+d[y-1]))
p03634
# 2019/07/11 import sys from heapq import heappop,heappush input=sys.stdin.readline n=int(eval(input())) edge=[[] for _ in range(n)] for _ in range(n-1): u,v,c=list(map(int,input().split())) u-=1 v-=1 edge[u].append((c,v)) edge[v].append((c,u)) def dijkstra(s): d=[float('inf')]*n visited=[False]*n d[s]=0 visited[s]=True que=[] for e in edge[s]: heappush(que,e) while que: c,v=heappop(que) if visited[v]:continue d[v]=c visited[v]=True for cost,vtx in edge[v]: if visited[vtx]:continue hq=(cost+d[v],vtx) heappush(que,hq) return d q,k=list(map(int,input().split())) k-=1 res=dijkstra(k) for _ in range(q): x,y=list(map(int,input().split())) x-=1 y-=1 print((res[x]+res[y]))
# 2019/07/12 # DFS ver import sys sys.setrecursionlimit(10**9) input=sys.stdin.readline n=int(eval(input())) edge=[[] for _ in range(n)] for _ in range(n-1): u,v,c=list(map(int,input().split())) u-=1 ; v-=1 edge[u].append((c,v)) edge[v].append((c,u)) q,k=list(map(int,input().split())) k-=1 d=[0]*n visited=[False]*n def dfs(s,p): visited[s]=True for c,v in edge[s]: if visited[v] or p==v:continue d[v]=c+d[s] visited[v]=True dfs(v,s) return dfs(k,-1) for _ in range(q): x,y=list(map(int,input().split())) x-=1 ; y-=1 print((d[x]+d[y]))
p03634
from collections import deque n=int(input()) e=[[] for _ in range(n+1)] l=[[0]*(n+1) for _ in range(n+1)] dist=[-1]*(n+1) for i in range(n-1): a,b,c=map(int,input().split()) e[a].append(b) e[b].append(a) l[a][b]=c l[b][a]=c q,k=map(int,input().split()) a=deque() a.append((k,0)) while a: x,d=a.popleft() dist[x]=d for j in e[x]: if dist[j]!=-1: continue else: a.append((j,d+l[x][j])) ans=[] for i in range(q): x,y=map(int,input().split()) ans.append(dist[x]+dist[y]) print(*ans,sep="\n")
from collections import deque n=int(input()) e=[[] for _ in range(n+1)] dist=[-1]*(n+1) for i in range(n-1): a,b,c=map(int,input().split()) e[a].append((b,c)) e[b].append((a,c)) q,k=map(int,input().split()) a=deque() a.append((k,0)) while a: x,d=a.popleft() dist[x]=d for j,nc in e[x]: if dist[j]!=-1: continue else: a.append((j,d+nc)) ans=[] for i in range(q): x,y=map(int,input().split()) ans.append(dist[x]+dist[y]) print(*ans,sep="\n")
p03634
#%% n = int(eval(input())) a, b, c = [0] * n, [0] * n, [0] * n for i in range(n-1): a[i], b[i], c[i] = list(map(int, input().split())) q, k = list(map(int, input().split())) l = [[] for _ in range(n+1)] for i in range(n-1): l[a[i]].append([b[i],c[i]]) l[b[i]].append([a[i],c[i]]) d = [0] * (n+1) check = [0] * (n+1) check[k] = 1 que = [k] while len(que) > 0: tmp = que.pop(0) for i in l[tmp]: if check[i[0]] == 0: que.append(i[0]) check[i[0]] = 1 d[i[0]] = d[tmp] + i[1] else: pass x, y = [0] * q, [0] * q for i in range(q): x[i], y[i] = list(map(int, input().split())) print((d[x[i]] + d[y[i]]))
#%% n = int(eval(input())) a, b, c = [0] * n, [0] * n, [0] * n for i in range(n-1): a[i], b[i], c[i] = list(map(int, input().split())) q, k = list(map(int, input().split())) l = [[] for _ in range(n+1)] for i in range(n-1): l[a[i]].append([b[i],c[i]]) l[b[i]].append([a[i],c[i]]) d = [0] * (n+1) check = [0] * (n+1) check[k] = 1 que = [k] count = 1 while len(que) > 0: tmp = que.pop(0) for i in l[tmp]: if check[i[0]] == 0: que.append(i[0]) check[i[0]] = 1 d[i[0]] = d[tmp] + i[1] count += 1 else: pass if count >= n: break x, y = [0] * q, [0] * q for i in range(q): x[i], y[i] = list(map(int, input().split())) print((d[x[i]] + d[y[i]]))
p03634
import sys sys.setrecursionlimit(10**8) n = int(eval(input())) data = [[] for i in range(n)] for i in range(n-1): a,b,c = list(map(int,input().split())) a -= 1 b -= 1 data[a].append([b,c]) data[b].append([a,c]) dist = [-1 for i in range(n)] q,k = list(map(int,input().split())) k -= 1 dist[k] = 0 def dfs(now,pre,d): dist[now] = d for p,q in data[now]: if p == pre: continue dfs(p,now,d+q) dfs(k,-1,0) for i in range(q): x,y = list(map(int,input().split())) x -= 1 y -= 1 print((dist[x]+dist[y]))
import sys sys.setrecursionlimit(10**6) input = sys.stdin.readline n = int(eval(input())) data = [[] for i in range(n)] for i in range(n-1): a,b,c = list(map(int,input().split())) a -= 1 b -= 1 data[a].append([b,c]) data[b].append([a,c]) dist = [-1 for i in range(n)] q,k = list(map(int,input().split())) k -= 1 dist[k] = 0 def dfs(now,pre,d): dist[now] = d for p,q in data[now]: if p == pre: continue dfs(p,now,d+q) dfs(k,-1,0) for i in range(q): x,y = list(map(int,input().split())) x -= 1 y -= 1 print((dist[x]+dist[y]))
p03634
import heapq INF = float('inf') N = int(eval(input())) to = [[] for _ in range(N)] for _ in range(N - 1): a, b, c = list(map(int, input().split())) a, b, = a - 1, b - 1 to[a].append((c, b)) to[b].append((c, a)) Q, K = list(map(int, input().split())) query = [list([int(x) - 1 for x in input().split()]) for _ in range(Q)] def dijkstra(s, e): hq = [(0, s)] heapq.heapify(hq) # リストを優先度付きキューに変換 cost = [INF] * N # 行ったことのないところはinf cost[s] = 0 # 開始地点は0 while hq: c, v = heapq.heappop(hq) if c > cost[v]: # コストが現在のコストよりも高ければスルー continue for d, u in to[v]: tmp = d + cost[v] if tmp < cost[u]: cost[u] = tmp heapq.heappush(hq, (tmp, u)) return cost[e] def main(): min_path = [dijkstra(i, K - 1) for i in range(N)] for x, y in query: print((min_path[x] + min_path[y])) if __name__ == "__main__": main()
import sys sys.setrecursionlimit(10**9) N = int(eval(input())) to = [[] for _ in range(N)] for _ in range(N - 1): a, b, c = list(map(int, input().split())) a, b, = a - 1, b - 1 to[a].append((c, b)) to[b].append((c, a)) Q, K = list(map(int, input().split())) K -= 1 query = [list([int(x) - 1 for x in input().split()]) for _ in range(Q)] depth = [0] * N def dfs(v, d, p=-1): depth[v] = d for cost, nv in to[v]: if nv == p: continue dfs(nv, d + cost, v) def main(): dfs(K, 0) for x, y in query: print((depth[x] + depth[y])) if __name__ == "__main__": main()
p03634
from heapq import heappush,heappop,heapify INF=10**30 def dijkstra(G,s,n): que=[(0,s)] dist=[INF]*n dist[s]=0 while que: mincost,u=heappop(que) if(mincost>dist[u]): continue for v,c in G[u]: if(dist[u]+c<dist[v]): dist[v]=dist[u]+c heappush(que,(dist[v],v)) return dist N=int(eval(input())) G=[[] for i in range(N)] for i in range(N-1): a,b,c=list(map(int,input().split())) G[a-1].append([b-1,c]) G[b-1].append([a-1,c]) Q,K=list(map(int,input().split())) dist=dijkstra(G,K-1,N) for i in range(Q): x,y=[int(x)-1 for x in input().split()] print((dist[x]+dist[y]))
import sys sys.setrecursionlimit(10**6) def dfs(v,p,d): dist[v]=d for nv,nd in G[v]: if nv==p: continue dfs(nv,v,d+nd) N=int(eval(input())) G=[[] for i in range(N)] dist=[-1]*N for i in range(N-1): a,b,c=list(map(int,input().split())) G[a-1].append([b-1,c]) G[b-1].append([a-1,c]) Q,K=list(map(int,input().split())) dfs(K-1,-1,0) for i in range(Q): x,y=[int(x)-1 for x in input().split()] print((dist[x]+dist[y]))
p03634
import sys input = sys.stdin.readline sys.setrecursionlimit(10 ** 7) def dfs(G, v, p, dist): """G: graph, v: vertex, p: parent""" # Loop for each child for c, d in G[v]: # Avoid multiple access to parent if c == p: continue dist[c] = dist[v] + d dfs(G, c, v, dist) def main(): N = int(eval(input())) G = [[] for _ in range(N)] for _ in range(N - 1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 G[a].append((b, c)) G[b].append((a, c)) Q, K = list(map(int, input().split())) x = [0] * Q y = [0] * Q for i in range(Q): x[i], y[i] = list(map(int, input().split())) for i in range(Q): dist_a = [0] * N dist_b = [0] * N dfs(G, x[i]-1, -1, dist_a) dfs(G, K-1, -1, dist_b) ans = dist_a[K-1] + dist_b[y[i]-1] print(ans) if __name__ == "__main__": main()
import sys input = sys.stdin.readline sys.setrecursionlimit(10 ** 7) def dfs(G, v, p, dist): """G: graph, v: vertex, p: parent""" # Loop for each child for c, d in G[v]: # Avoid multiple access to parent if c == p: continue dist[c] = dist[v] + d dfs(G, c, v, dist) def main(): N = int(eval(input())) G = [[] for _ in range(N)] for _ in range(N - 1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 G[a].append((b, c)) G[b].append((a, c)) Q, K = list(map(int, input().split())) x = [0] * Q y = [0] * Q for i in range(Q): x[i], y[i] = list(map(int, input().split())) dist = [0] * N dfs(G, K-1, -1, dist) for i in range(Q): ans = dist[x[i]-1] + dist[y[i]-1] print(ans) if __name__ == "__main__": main()
p03634
# Kから各頂点への距離をメモする # xからKの距離とyからKの距離を足したものが答え import sys readline = sys.stdin.readline N = int(readline()) G = [[] for i in range(N)] for i in range(N - 1): a,b,c = list(map(int,readline().split())) G[a-1].append((b-1,c)) G[b-1].append((a-1,c)) dist = [-1 for i in range(N)] # Kからの距離 Q,K = list(map(int,readline().split())) dist[K - 1] = 0 from collections import deque # 頂点、Kからの距離, 親 q = deque([[K - 1, 0, -1]]) while q: v, d, parent = q.popleft() dist[v] = d for child in G[v]: if child[0] == parent: continue q.append([child[0],d + child[1], v]) for i in range(Q): x,y = list(map(int,readline().split())) print((dist[x - 1] + dist[y - 1]))
import sys readline = sys.stdin.readline N = int(readline()) G = [[] for i in range(N)] for i in range(N - 1): a,b,c = list(map(int,readline().split())) G[a - 1].append((b - 1, c)) G[b - 1].append((a - 1, c)) Q,K = list(map(int,readline().split())) dist = [0] * N stack = [(K - 1, -1, 0)] while stack: v,parent,cost = stack.pop() dist[v] = cost for child, c in G[v]: if child == parent: continue stack.append((child, v, cost + c)) for i in range(Q): x,y = list(map(int,readline().split())) print((dist[x - 1] + dist[y - 1]))
p03634
from collections import Counter,defaultdict,deque import sys import copy from itertools import permutations, combinations from heapq import heappop, heappush input = sys.stdin.readline sys.setrecursionlimit(10**8) mod = 10**9+7 def main(): n=int(eval(input())) graph = [[] for _ in range(n)] for _ in range(n-1): a,b,w=list(map(int,input().split())) a-=1 b-=1 graph[a].append((b,w)) graph[b].append((a,w)) graph = tuple(graph) q,k = list(map(int,input().split())) pre = [] que = deque() for e in range(n): dis = [-1 for _ in range(n)] dis[e]=0 if e == k-1: pre.append(0) else: que.append(e) while que: i = que.pop() for j in range(len(graph[i])): go = graph[i][j][0] d = graph[i][j][1] if dis[go]!=-1: continue dis[go] = dis[i] + d if k-1 == go: pre.append(dis[go]) que=deque() break que.append(go) pre = tuple(pre) for _ in range(q): x,y = list(map(int,input().split())) print(( pre[x-1] + pre[y-1] )) if __name__ == "__main__": main()
from collections import Counter,defaultdict,deque import sys import copy from itertools import permutations, combinations from heapq import heappop, heappush input = sys.stdin.readline sys.setrecursionlimit(10**8) mod = 10**9+7 def main(): n=int(eval(input())) graph = [[] for _ in range(n)] for _ in range(n-1): a,b,w=list(map(int,input().split())) a-=1 b-=1 graph[a].append((b,w)) graph[b].append((a,w)) graph = tuple(graph) q,k = list(map(int,input().split())) que = deque([k-1]) dis = [-1 for _ in range(n)] dis[k-1]=0 while que: i = que.pop() for j in range(len(graph[i])): go = graph[i][j][0] d = graph[i][j][1] if dis[go]==-1: dis[go] = dis[i] + d que.append(go) for _ in range(q): x,y = list(map(int,input().split())) print(( dis[x-1] + dis[y-1] )) if __name__ == "__main__": main()
p03634
import queue N=int(eval(input())) d=[-1 for _ in range(N+1)] e=[[] for _ in range(N+1)] for _ in range(N-1): a,b,c=list(map(int,input().split())) e[a].append([b, c]) e[b].append([a, c]) Q,K=list(map(int,input().split())) d[K]=0 q=queue.Queue() q.put(K) while not q.empty(): now=q.get() for nx,c in e[now]: if d[nx] == -1: d[nx] = c+d[now] q.put(nx) for _ in range(Q): x,y=list(map(int,input().split())) print((d[x]+d[y]))
import sys sys.setrecursionlimit(1145141919) N=int(eval(input())) d=[-1 for _ in range(N+1)] e=[[] for _ in range(N+1)] for _ in range(N-1): a,b,c=list(map(int,input().split())) e[a].append((b, c)) e[b].append((a, c)) Q,K=list(map(int,input().split())) def dfs(now, dis): d[now] = dis for nxt,cos in e[now]: if d[nxt] == -1: dfs(nxt, dis+cos) dfs(K, 0) for _ in range(Q): x,y=list(map(int,input().split())) print((d[x]+d[y]))
p03634
from collections import deque def main(): n = int(eval(input())) G = [[] for _ in range(n)] D = [[] for _ in range(n)] for _ in range(n - 1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 G[a].append(b) D[a].append(c) G[b].append(a) D[b].append(c) q, k = list(map(int, input().split())) k -= 1 stack = deque([k, ]) ans = [-1] * n ans[k] = 0 while stack: x = stack.popleft() for dx, l in zip(G[x], D[x]): if ans[dx] == -1: ans[dx] = ans[x] + l stack.appendleft(dx) for _ in range(q): x, y = list([int(x) - 1 for x in input().split()]) print((ans[x] + ans[y])) if __name__ == '__main__': main()
from collections import deque import sys def input(): return sys.stdin.readline().rstrip() def main(): n = int(eval(input())) G = [[] for _ in range(n)] for _ in range(n - 1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 G[a].append([b, c]) G[b].append([a, c]) q, k = list(map(int, input().split())) k -= 1 stack = deque([k, ]) ans = [-1] * n ans[k] = 0 while stack: x = stack.popleft() for (dx, l) in G[x]: if ans[dx] == -1: ans[dx] = ans[x] + l stack.appendleft(dx) for _ in range(q): x, y = list([int(x) - 1 for x in input().split()]) print((ans[x] + ans[y])) if __name__ == '__main__': main()
p03634
N=int(eval(input())) G=[[] for _ in range(N)] for i in range(N-1): a,b,c=list(map(int,input().split())) G[a-1].append([b-1,c]) G[b-1].append([a-1,c]) Q,K=list(map(int,input().split())) SD=[0]*N for x,d in G[K-1]: SD[x]=d for i in range(N): if i==K-1:continue ans=[] seen=[0]*N stack=[[i,0]] seen[i]=1 while stack: x,d=stack.pop() if x==K-1: ans.append(d) elif SD[x]!=0: ans.append(d+SD[x]) else: for y,co in G[x]: if seen[y]==0: stack.append([y,d+co]) seen[y]=1 SD[i]=min(ans) for i in range(Q): x,y=list(map(int,input().split())) ans=SD[x-1]+SD[y-1] print(ans)
N=int(eval(input())) G=[[] for _ in range(N)] for i in range(N-1): a,b,c=list(map(int,input().split())) G[a-1].append([b-1,c]) G[b-1].append([a-1,c]) Q,K=list(map(int,input().split())) SD=[0]*N seen=[0]*N stack=[] stack.append([K-1,0]) seen[K-1]=1 while stack: x,d=stack.pop() for y,d0 in G[x]: if seen[y]==0: SD[y]=d+d0 stack.append([y,d+d0]) seen[y]=1 for i in range(Q): x,y=list(map(int,input().split())) ans=SD[x-1]+SD[y-1] print(ans)
p03634
import sys sys.setrecursionlimit(10 ** 7) input = sys.stdin.readline n = int(input()) from collections import defaultdict abc = [tuple(map(int,input().split())) for i in range(n-1)] cost = [[-1]*n for i in range(n)] for a,b,c in abc: a,b = a-1,b-1 cost[a][b]=c cost[b][a]=c q, k = map(int, input().split()) xy = [tuple(map(int,input().split())) for i in range(q)] dist = [-1]*n def dfs(v=0,parent=-1): if dist[v]==-1: dist[v] = dist[parent] + cost[v][parent] for i,d in enumerate(cost[v]): if d!=-1 and dist[i]==-1: dfs(i,v) dist[k-1] =0 dfs(k-1) ans=[] for x,y in xy: x,y=x-1,y-1 ans.append(dist[x]+dist[y]) print(*ans,sep='\n')
import sys sys.setrecursionlimit(10 ** 7) input = sys.stdin.readline n = int(input()) from collections import defaultdict abc = [tuple(map(int,input().split())) for i in range(n-1)] es = [[] for i in range(n)] for a,b,c in abc: a,b = a-1,b-1 es[a].append((b,c)) es[b].append((a,c)) q, k = map(int, input().split()) xy = [tuple(map(int,input().split())) for i in range(q)] dist = [-1]*n def dfs(v=0,parent=-1,d=0): for next_v,dd in es[v]: if dist[next_v] == -1: dist[next_v] = d + dd dfs(next_v,v,dist[next_v]) dist[k-1] =0 dfs(k-1,-1,0) ans=[] for x,y in xy: x,y=x-1,y-1 ans.append(dist[x]+dist[y]) print(*ans,sep='\n')
p03634
import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines sys.setrecursionlimit(500000) INF = 10**18 N = int(readline()) ABC = [list(map(int, readline().split())) for _ in range(N - 1)] Q, K = list(map(int, readline().split())) XY = [list(map(int, readline().split())) for _ in range(Q)] def warshall_floyd(dist): for k, _ in enumerate(dist): for i, _ in enumerate(dist): for j, _ in enumerate(dist): dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]) return dist dist = [[INF] * (N + 1) for _ in range(N + 1)] for abc in ABC: dist[abc[0] - 1][abc[1] - 1] = abc[2] dist[abc[1] - 1][abc[0] - 1] = abc[2] dist = warshall_floyd(dist) for x, y in XY: print((dist[x - 1][K - 1] + dist[K - 1][y - 1]))
import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines sys.setrecursionlimit(500000) N = int(readline()) edges = [[] for _ in range(N + 1)] for _ in range(N - 1): a, b, c = list(map(int, readline().split())) edges[a].append((b, c)) edges[b].append((a, c)) Q, K = list(map(int, readline().split())) dist = [0] * (N + 1) def dfs(v, p, d): dist[v] = d for n, dd in edges[v]: if n == p: continue dfs(n, v, d + dd) dfs(K, -1, 0) for _ in range(Q): x, y = list(map(int, readline().split())) print((dist[x] + dist[y]))
p03634
import sys readline = sys.stdin.readline from collections import deque def main(): N = int(readline()) path = [[] for _ in range(N)] for _ in range(N-1): a, b, c = list(map(int, readline().rstrip().split())) path[a-1].append((b-1, c)) path[b-1].append((a-1, c)) Q, K = list(map(int, readline().rstrip().split())) K -= 1 dist = [-1] * N dist[K] = 0 for n, c in path[K]: dist[n] = c que = deque([(K, n) for n, c in path[K]]) while que: pre, now = que.popleft() for next, d in path[now]: if next != pre: dist[next] = dist[now] + d que.append((now, next)) for _ in range(Q): x, y = list(map(int, readline().rstrip().split())) print((dist[x-1] + dist[y-1])) if __name__ == '__main__': main()
import sys readline = sys.stdin.readline from collections import deque def main(): N = int(readline()) path = [[] for _ in range(N)] for _ in range(N-1): a, b, c = list(map(int, readline().rstrip().split())) path[a-1].append((b-1, c)) path[b-1].append((a-1, c)) Q, K = list(map(int, readline().rstrip().split())) K -= 1 dist = [-1] * N dist[K] = 0 que = deque([K]) while que: pre = que.popleft() for next, d in path[pre]: if dist[next] == -1: dist[next] = dist[pre] + d que.append(next) for _ in range(Q): x, y = list(map(int, readline().rstrip().split())) print((dist[x-1] + dist[y-1])) if __name__ == '__main__': main()
p03634
import sys readline = sys.stdin.readline from collections import deque def main(): N = int(readline()) path = [[] for _ in range(N)] for _ in range(N-1): a, b, c = list(map(int, readline().rstrip().split())) path[a-1].append((b-1, c)) path[b-1].append((a-1, c)) Q, K = list(map(int, readline().rstrip().split())) K -= 1 dist = [-1] * N dist[K] = 0 que = deque([K]) while que: pre = que.popleft() for next, d in path[pre]: if dist[next] == -1: dist[next] = dist[pre] + d que.append(next) for _ in range(Q): x, y = list(map(int, readline().rstrip().split())) print((dist[x-1] + dist[y-1])) if __name__ == '__main__': main()
import sys readline = sys.stdin.readline from heapq import heapify, heappush, heappop def dijkstra(path, N, start): """ Args: path (list): [[(cost, node), (cost, node), ...], [], [], ...] """ visited = [False] * N que = [(0, start)] heapify(que) # 始点aから各頂点への(距離, 頂点ID) dist = [-1] * N # 始点aから各頂点への距離 dist[start] = 0 # 始点aからaへの距離は0 while que: d, v = heappop(que) # 始点から最短距離の頂点を(確定ノード)を取り出す visited[v] = True # 確定フラグを立てる # 接続先ノードの情報を更新する for d, to in path[v]: cost = dist[v] + d if dist[to] < 0 or cost < dist[to]: dist[to] = cost if not visited[to]: heappush(que, (cost, to)) return dist def main(): N = int(readline()) path = [[] for _ in range(N)] for _ in range(N-1): a, b, c = list(map(int, readline().rstrip().split())) path[a-1].append((c, b-1)) path[b-1].append((c, a-1)) Q, K = list(map(int, readline().rstrip().split())) dist = dijkstra(path, N, K-1) for _ in range(Q): x, y = list(map(int, readline().rstrip().split())) print((dist[x-1] + dist[y-1])) if __name__ == '__main__': main()
p03634
# ABC070 D - Transit Tree Path import heapq def dijkstra_heap(s): """ 始点sから各頂点への最短距離を返す Parameters ---------- s : int 視点とする頂点 Returns ------- d :list 始点sから各頂点への最短距離 """ d = [float("inf")] * n used = [True] * n #True:未確定 d[s] = 0 used[s] = False edgelist = [] for e in edge[s]: heapq.heappush(edgelist,e) while len(edgelist): minedge = heapq.heappop(edgelist) #未使用の頂点の中から最小の距離のものを探す if not used[minedge[0]]: continue v = minedge[0] d[v] = minedge[1] used[v] = False for e in edge[v]: if used[e[0]]: heapq.heappush(edgelist,[e[0],e[1]+d[v]]) return d n=int(eval(input())) edge=[[] for i in range(n)] for i in range(n-1): a,b,c=list(map(int,input().split())) a-=1 b-=1 edge[a].append([b,c]) edge[b].append([a,c]) q,k=list(map(int,input().split())) k-=1 dist=dijkstra_heap(k) for i in range(q): x,y=list(map(int,input().split())) x-=1 y-=1 print((dist[x]+dist[y]))
import sys sys.setrecursionlimit(100000000) def dfs(cur,par,d): dist[cur]=d for nx,nx_dist in G[cur]: if nx==par:continue dfs(nx,cur,d+nx_dist) n=int(eval(input())) G=[[] for i in range(n)] dist=[0]*n for i in range(n-1): a,b,c=list(map(int,input().split())) G[a-1].append([b-1,c]) G[b-1].append([a-1,c]) q,k=list(map(int,input().split())) k-=1 dfs(k,-1,0) for i in range(q): x,y=list(map(int,input().split())) x-=1 y-=1 print((dist[x]+dist[y]))
p03634
n=int(eval(input())) G=[[] for i in range(n)] for i in range(n-1): u,v,w=list(map(int,input().split())) G[u-1].append([v-1,w]) G[v-1].append([u-1,w]) dist=[-1]*n from collections import deque Q,k=list(map(int,input().split())) q=deque() q.append(k-1) dist[k-1]=0 while q: cur=q.popleft() for nx,nd in G[cur]: if dist[nx]!=-1:continue dist[nx]=dist[cur]+nd q.append(nx) for i in range(Q): x,y=list(map(int,input().split())) x-=1 y-=1 print((dist[x]+dist[y]))
from heapq import heappop,heappush def dijkstra(s,n,edge): """ 始点sから各頂点への最短距離を返す Parameters ---------- s : int 視点とする頂点(0-indexed) n : int グラフの要素数 eage:list グラグ Returns ------- dist :list 始点sから各頂点への最短距離 """ dist=[float("inf")]*n dist[s]=0 used=[-1]*n hq=[[dist[s],s]] while hq: d,cur=heappop(hq) if dist[cur]<d:continue # 距離が最小でない場合は飛ばす for nx,nxd in edge[cur]: if dist[cur]+nxd<dist[nx]: dist[nx]=dist[cur]+nxd used[nx]=cur heappush(hq,[dist[cur]+nxd,nx]) return dist n=int(eval(input())) edge=[[] for _ in range(n)] for _ in range(n-1): a,b,c=list(map(int,input().split())) a-=1 b-=1 edge[a].append((b,c)) edge[b].append((a,c)) q,k=list(map(int,input().split())) xy=[list(map(int,input().split()))for _ in range(q)] d=dijkstra(k-1,n,edge) for x,y in xy: print((d[x-1]+d[y-1]))
p03634
import sys from collections import defaultdict sys.setrecursionlimit(10 ** 7) def dfs(v, parent, d): depth[v] = d for to, cost in tree[v]: if to == parent: continue dfs(to, v, d + cost) depth = defaultdict(int) tree = defaultdict(list) n = int(eval(input())) for i in range(n - 1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 tree[a].append((b, c)) tree[b].append((a, c)) q, k = list(map(int, input().split())) k -= 1 dfs(k, -1, 0) for i in range(q): x, y = list(map(int, input().split())) x -= 1 y -= 1 print((depth[x] + depth[y]))
import sys from collections import defaultdict sys.setrecursionlimit(10 ** 7) def input(): return sys.stdin.readline()[:-1] def dfs(v, parent, d): depth[v] = d for to, cost in tree[v]: if to == parent: continue dfs(to, v, d + cost) depth = defaultdict(int) tree = defaultdict(list) n = int(eval(input())) for i in range(n - 1): a, b, c = list(map(int, input().split())) a -= 1 b -= 1 tree[a].append((b, c)) tree[b].append((a, c)) q, k = list(map(int, input().split())) k -= 1 dfs(k, -1, 0) for i in range(q): x, y = list(map(int, input().split())) x -= 1 y -= 1 print((depth[x] + depth[y]))
p03634
N = int(eval(input())) d = [0] * N INF = float('inf') cost = [[INF] * N for i in range(N)] for _ in range(N - 1): a, b, c = list(map(int, input().split())) cost[a - 1][b- 1] = c cost[b- 1][a - 1] = c def dijkstra(s): used = [False] * N for i in range(N): d[i] = INF d[s] = 0 while True: v = -1 for u in range(N): if used[u] == False and (v == -1 or d[u] < d[v]): v = u if v == -1: break used[v] = True for u in range(N): d[u] = min(d[u], d[v] + cost[v][u]) Q, K = list(map(int, input().split())) for _ in range(Q): ans = 0 x, y = list(map(int, input().split())) dijkstra(x - 1) ans += d[K - 1] #print(d) dijkstra(K - 1) ans += d[y - 1] #print(d) print(ans)
import heapq N = int(eval(input())) d = [0] * N INF = float('inf') class Info: def __init__(self, to, cost): self.to = to self.cost = cost G = [[] for i in range(N)] for _ in range(N - 1): a, b, c = list(map(int, input().split())) G[a - 1].append(Info(b - 1, c)) G[b - 1].append(Info(a - 1, c)) def dijkstra(s): for i in range(N): d[i] = INF d[s] = 0 h = [] heapq.heappush(h, [0, s]) while h != []: p = heapq.heappop(h) v = p[1] if d[v] < p[0]: continue for i in range(len(G[v])): e = G[v][i] if d[e.to] > d[v] + e.cost: d[e.to] = d[v] + e.cost heapq.heappush(h, [d[e.to], e.to]) Q, K = list(map(int, input().split())) for _ in range(Q): ans = 0 x, y = list(map(int, input().split())) dijkstra(x - 1) ans += d[K - 1] #print(d) dijkstra(K - 1) ans += d[y - 1] #print(d) print(ans)
p03634
from collections import defaultdict import heapq N = int(eval(input())) INF = float('inf') edges = [list(map(int, input().split())) for _ in range(N-1)] nodes = defaultdict(list) for e in edges: nodes[e[0] - 1].append((e[2], e[1] - 1)) nodes[e[1] - 1].append((e[2], e[0] - 1)) Q, K = list(map(int, input().split())) queries = [list(map(int, input().split())) for _ in range(Q)] def dijkstra(x, y): que = [] heapq.heapify(que) dist = [INF for _ in range(N)] dist[x] = 0 heapq.heappush(que, (0, x)) while que: p = heapq.heappop(que) v = p[1] if dist[v] < p[0]: continue for e in nodes[v]: if dist[e[1]] > dist[v] + e[0]: dist[e[1]] = dist[v] + e[0] heapq.heappush(que, (dist[e[1]], e[1])) return dist[y] for q in queries: x, y = q[0] - 1, q[1] - 1 print((dijkstra(x, K - 1) + dijkstra(K - 1, y)))
from collections import defaultdict import heapq N = int(eval(input())) INF = float('inf') edges = [list(map(int, input().split())) for _ in range(N-1)] nodes = defaultdict(list) for e in edges: nodes[e[0] - 1].append((e[2], e[1] - 1)) nodes[e[1] - 1].append((e[2], e[0] - 1)) Q, K = list(map(int, input().split())) queries = [list(map(int, input().split())) for _ in range(Q)] def dijkstra(x): que = [] heapq.heapify(que) dist = [INF for _ in range(N)] dist[x] = 0 heapq.heappush(que, (0, x)) while que: p = heapq.heappop(que) v = p[1] if dist[v] < p[0]: continue for e in nodes[v]: if dist[e[1]] > dist[v] + e[0]: dist[e[1]] = dist[v] + e[0] heapq.heappush(que, (dist[e[1]], e[1])) return dist distk = dijkstra(K - 1) for q in queries: x, y = q[0] - 1, q[1] - 1 print((distk[x] + distk[y]))
p03634
from heapq import heappush, heappop inf = float('inf') # import: from heapq import heappush,heappop # distの初期化: dist = [inf]*n; dist[start] = 0 def dijkstra(ad,dist,n,start): pq = [(0,start)] while pq: w,v = heappop(pq) for nw,nv in ad[v]: if dist[nv] > dist[v] + nw: dist[nv] = dist[v] + nw heappush(pq,(dist[nv],nv)) N = int(eval(input())) ad = [[] for _ in range(N)] for _ in range(N-1): a,b,c = list(map(int,input().split())) a -= 1; b -= 1 ad[a].append((c,b)) ad[b].append((c,a)) Q,K = list(map(int,input().split())) K -= 1 query = [[int(e)-1 for e in input().split()] for _ in range(Q)] dist = [inf]*N dist[K] = 0 dijkstra(ad,dist,N,K) for x,y in query: ans = dist[x] + dist[y] print(ans)
from heapq import heappush, heappop inf = float('inf') # (始点,隣接リスト) def dijkstra(start,ad): global dist dist = [inf]*len(ad) dist[start] = 0 pq = [(start,0)] while pq: v = heappop(pq)[0] for nv,nw in ad[v]: if dist[nv] > dist[v] + nw: dist[nv] = dist[v] + nw heappush(pq,(nv,dist[nv])) N = int(eval(input())) ad = [[] for _ in range(N)] for _ in range(N-1): a,b,c = list(map(int,input().split())) a -= 1; b -= 1 ad[a].append((b,c)) ad[b].append((a,c)) Q,K = list(map(int,input().split())) K -= 1 query = [[int(e)-1 for e in input().split()] for _ in range(Q)] dijkstra(K,ad) for x, y in query: ans = dist[x] + dist[y] print(ans)
p03634
from heapq import heappop, heappush n = int(eval(input())) grid = [list(map(int, input().split())), list(map(int, input().split()))] def biggest(grid, start, cost=0): dist = [[0 for _ in range(n)] for _ in range(2)] dx = [1, 0] dy = [0, 1] st = [(cost, start)] dist[start[0]][start[1]] = grid[start[0]][start[1]] + cost while(st): c, [sx, sy] = heappop(st) for a, b in zip(dx, dy): x = sx + a y = sy + b if x >= 2 or y >= n: continue dxy = dist[sx][sy] + grid[x][y] if dist[x][y] >= dxy: continue dist[x][y] = dxy heappush(st, (dist[x][y], [x, y])) return dist[-1][-1] dist = biggest(grid, [0, 0], cost=0) print(dist)
n = int(eval(input())) grid = [list(map(int, input().split())), list(map(int, input().split()))] dist = [[0 for _ in range(n)] for _ in range(2)] dist[0][0] = grid[0][0] for i in range(2): for j in range(n): if j < n - 1: dist[i][j + 1] = max(dist[i][j + 1], dist[i][j] + grid[i][j + 1]) if i == 0: dist[1][j] = max(dist[1][j], dist[0][j] + grid[1][j]) print((dist[-1][-1]))
p03451
def third(n,q): n = int(n) q = float(q) if n == 1: return q/2 else : return third(n-1,q)- (third(n-1,q)**3-q)/(3*third(n-1,q)**2) kai = [] while(True): try: q = eval(input()) if q == -1: break else : n = 1 q = float(q) while (abs(q-third(n, q)**3) >= 0.00001*q): n += 1 print('{:.6f}'.format(third(n, q))) except EOFError: break
while(True): try: q = eval(input()) if q == -1: break else : q = float(q) x = q/2 while (abs(q-x**3) >= 0.00001*q): x = x- (x**3-q)/(3*x**2) print('{:.6f}'.format(x)) except EOFError: break
p00080
N, M = list(map(int, input().split(" "))) A = list(map(int, input().split(" "))) R = [0] * (N+1) ans = 0 temp = 0 for i in range(N): R[i+1] = temp + A[i] temp = R[i+1] for j in range(1,N+1): for d in range(1,N+1): if j - d >= 0: if (R[j] - R[j-d]) % M == 0: ans += 1 print(ans)
# coding: utf-8 # Your code here! N, M = list(map(int, input().split(" "))) A = list(map(int, input().split(" "))) R = [0] * (N+1) S = [0] * (N+1) S_dict = {} ans = 0 temp = 0 for i in range(N): R[i+1] = temp + A[i] S[i+1] = R[i+1] % M temp = R[i+1] for s in S: if s in S_dict: S_dict[s] += 1 else: S_dict[s] = 1 for v in list(S_dict.values()): ans += int(v*(v-1)/2) print(ans)
p03287
from collections import Counter N, M = [int(elem) for elem in input().split(' ')] A_list = [int(elem) % M for elem in input().split(' ')] assert len(A_list) == N cuml_A_list = [0] * N current_sum = 0 for i, A in enumerate(A_list): current_sum += A current_sum %= M cuml_A_list[i] = current_sum counter = Counter(cuml_A_list) total_count = 0 for key, value in list(counter.items()): if key == 0: total_count += value * (value - 1) // 2 + value else: total_count += value * (value - 1) // 2 print(total_count)
import sys from collections import Counter finput = sys.stdin.readline N, M = [int(elem) for elem in finput().split(' ')] A_list = [int(elem) % M for elem in finput().split(' ')] assert len(A_list) == N cuml_A_list = [0] * N current_sum = 0 for i, A in enumerate(A_list): current_sum += A current_sum %= M cuml_A_list[i] = current_sum counter = Counter(cuml_A_list) total_count = 0 for key, value in list(counter.items()): if key == 0: total_count += value * (value - 1) // 2 + value else: total_count += value * (value - 1) // 2 print(total_count)
p03287
from collections import Counter n,m = list(map(int,input().split())) A = list(map(int,input().split())) S = [0] s = 0 for i in range(n): s += A[i] S += [s] R = [] for i in range(n+1): R += [S[i]%m] R = Counter(R) ans = 0 for r in list(R.values()): ans += r*(r-1)//2 print(ans)
from collections import Counter N,M = list(map(int,input().split())) A = list(map(int,input().split())) S = [0] for i in range(N): S.append((S[-1]+A[i])%M) C = Counter(S) ans = 0 for v in list(C.values()): ans += v*(v-1)//2 print(ans)
p03287
def comb1(n, r): if n == 0 or r == 0: return 1 return comb1(n, r-1) * (n-r+1) / r N, M = list(map(int, input().split())) A = [int(i) for i in input().split()] # N, M = 10, 400000000 # A = [int(i) for i in '1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000'.split()] surplus = {0:0} res = 0 B = [] for i in range(1, N + 1): tmp = sum(A[:i])%M B.append(tmp) surplus[tmp] = 0 for i in B: surplus[i] += 1 for tmp_key in list(surplus.keys()): res += comb1(surplus[tmp_key], 2) corner = surplus[0] if corner == 0: res -= 1 else: res += corner print((int(res)))
def comb1(n, r): if n == 0 or r == 0: return 1 return comb1(n, r-1) * (n-r+1) / r N, M = list(map(int, input().split())) A = [int(i) for i in input().split()] # N, M = 10, 400000000 # A = [int(i) for i in '1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000'.split()] surplus = {0:0} res = 0 tmp = 0 B = [] for i in range(0, N): tmp += A[i] tmp %= M B.append(tmp) surplus[tmp] = 0 for i in B: surplus[i] += 1 for tmp_key in list(surplus.keys()): res += comb1(surplus[tmp_key], 2) corner = surplus[0] if corner == 0: res -= 1 else: res += corner print((int(res)))
p03287
from collections import Counter as C from itertools import accumulate as a def inp():return list(map(int,input().split())) n,m = inp() print((sum([v*(v-1)//2+(0 if k else v)for k,v in list(C([x%m for x in a(inp())]).items())])))
from collections import Counter as C from itertools import accumulate as a def inp():return list(map(int,input().split())) n,m = inp() print((sum([v*(v-1)//2 for v in list(C([x%m for x in a([0]+inp())]).values())])))
p03287
from collections import Counter as C from itertools import accumulate as a def inp():return list(map(int,input().split())) n,m = inp() print((sum([v*(v-1)//2 for v in list(C([x%m for x in a([0]+inp())]).values())])))
from collections import Counter as C from itertools import accumulate as a def i():return list(map(int,input().split())) n,m=i() print((sum([v*(v-1)//2 for v in list(C([x%m for x in a([0]+i())]).values())])))
p03287
import sys input=sys.stdin.readline if __name__ == '__main__': N,M=list(map(int,input().split())) A=list(map(int,input().split())) dp=[[0 for i in range(N)] for j in range(N)] count = 0 for i in range(N): dp[i][i]=A[i] dp[i][i]%=M if dp[i][i]==0: count+=1 for l in range(N): for r in range(l,N-1): dp[l][r+1]=dp[l][r]+A[r+1] dp[l][r+1]%=M if dp[l][r+1]==0: count+=1 print(count)
import sys input=sys.stdin.readline if __name__ == '__main__': N,M=list(map(int,input().split())) A=list(map(int,input().split())) B=[0]*(N+1) count=0 for i in range(N): B[i+1]=B[i]+A[i] B[i+1]%=M for b in B: c=B.count(b) count+=c-1 print((count//2))
p03287
from collections import defaultdict N,M = list(map(int,input().split())) A = list(map(int,input().split())) A[0] %= M for i in range(N-1): A[i+1] += A[i] A[i+1] %= M d = defaultdict(lambda:0) d[0] = 1 ans = 0 for i in range(N): ans += d[A[i]] d[A[i]] += 1 print(ans)
N,M = list(map(int,input().split())) A = list(map(int,input().split())) from collections import defaultdict r = defaultdict(lambda:0) s = 0 for i in range(N): s += A[i] s %= M r[s] += 1 ans = r[0] for s in r: ans += (r[s]*(r[s]-1))//2 print(ans)
p03287
import math from itertools import accumulate n,m = list(map(int,input().split())) A = list(map(int,input().split())) accum_A = [0] + A accum_A = list(accumulate(accum_A)) ans = 0 for i in range(n): for j in range(i+1,n+1): # print('l:{}, r:{}, sum:{}'.format(i,j,(accum_A[j]-accum_A[i]))) if (accum_A[j]-accum_A[i]) % m == 0: ans += 1 print(ans)
import math from itertools import accumulate def combinations_count(n, r): return math.factorial(n) // (math.factorial(n - r) * math.factorial(r)) n,m = list(map(int,input().split())) A = list(map(int,input().split())) accum_A = [0] + A accum_A = list(accumulate(accum_A)) mod_dic = {} for i in accum_A: mod = i%m if mod in list(mod_dic.keys()): mod_dic[mod] += 1 else: mod_dic[mod] = 1 ans = 0 for i in list(mod_dic.values()): if i >= 2: ans += combinations_count(i,2) print(ans)
p03287
n, m = list(map(int, input().split())) l = list(map(int, input().split())) l = [0] + l from itertools import accumulate cum =list(accumulate(l)) cum = [c%m for c in cum] d = {} ans = 0 for i in range(n+1): if cum[i] not in d: d[cum[i]] = 1 else: ans += d[cum[i]] d[cum[i]] += 1 print(ans)
n, m = list(map(int, input().split())) A = list(map(int, input().split())) from itertools import accumulate B = [0]+A B = list(accumulate(B)) d = {} ans = 0 for i in range(n+1): s = B[i]%m if s in d: ans += d[s] d[s] += 1 else: d[s] = 1 print(ans)
p03287
# -*- coding: utf-8 -*- # import numpy as np N, M = list(map(int, input().split())) An = list(map(int, input().split())) pare_list = [] val_list = [] for i in range(N): tmp = 0 for j in range(i,N): tmp += An[j] pare_list.append((i,j)) # for m in range(i,j+1): # tmp += An[m] val_list.append(tmp) count = 0 for val in val_list: if val % M == 0: count += 1 print(count) # print(pare_list) # print(val_list)
# -*- coding: utf-8 -*- # import numpy as np N, M = list(map(int, input().split())) An = list(map(int, input().split())) pare_list = [] val_list = [] for i in range(N): tmp = 0 for j in range(i,N): tmp += An[j] # pare_list.append((i,j)) # for m in range(i,j+1): # tmp += An[m] if tmp % M == 0: val_list.append(tmp) print((len(val_list))) # # count = 0 # for val in val_list: # if val % M == 0: # count += 1 # print(count) # print(pare_list) # print(val_list)
p03287
N, M = list(map( int, input().split())) A = list( map( int, input().split())) A = [ x%M for x in A] SUM = [0] for i in range(N): SUM.append(SUM[-1]+A[i]) ans = 0 cnt = 1 for l in range(N): if A[l] == 0: ans += cnt cnt += 1 else: PART = 0 for r in range(l+1,N+1): if (SUM[r] - SUM[l])%M == 0: PART += 1 ans += cnt * PART cnt = 1 print((int(ans)))
N, M = list(map( int, input().split())) A = list( map( int, input().split())) D = {0:1} a = 0 ans = 0 for i in range(N): a = (a+A[i])%M ans += D.get(a,0) D[a] = 1 + D.get(a,0) print(ans)
p03287