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import sys input = sys.stdin.readline class UnionFind(): def __init__(self, n): self.parent = [-1 for _ in range(n)] def size(self, x): return -self.parent[self.find(x)] def find(self, x): if (self.parent[x] < 0): return x else: self.parent[x] = self.find(self.parent[x]) return self.parent[x] def unite(self, x, y): x = self.find(x) y = self.find(y) if (x == y): return False if (self.size(x) < self.size(y)): self.parent[y] += self.parent[x] self.parent[x] = y else: self.parent[x] += self.parent[y] self.parent[y] = x return True def same(self, x, y): return self.find(x) == self.find(y) def main(): N = int(eval(input())) x_list = [] y_list = [] x_app = x_list.append y_app = y_list.append for i in range(N): x, y = (int(x) for x in input().split()) x_app([x, i]) y_app([y, i]) x_list.sort() y_list.sort() adj = [] adj_app = adj.append for i in range(N-1): adj_app([x_list[i + 1][0] - x_list[i][0], x_list[i + 1][1], x_list[i][1]]) adj_app([y_list[i + 1][0] - y_list[i][0], y_list[i + 1][1], y_list[i][1]]) adj.sort() uf = UnionFind(N) ans = 0 for edge in adj: if not uf.same(edge[1], edge[2]): ans += edge[0] uf.unite(edge[1], edge[2]) print(ans) if __name__ == '__main__': main()
import sys input = sys.stdin.readline class UnionFind(): def __init__(self, n): self.parent = [-1 for _ in range(n)] def size(self, x): return -self.parent[self.find(x)] def find(self, x): if (self.parent[x] < 0): return x else: self.parent[x] = self.find(self.parent[x]) return self.parent[x] def unite(self, x, y): x = self.find(x) y = self.find(y) if (x == y): return False if (self.size(x) < self.size(y)): self.parent[y] += self.parent[x] self.parent[x] = y else: self.parent[x] += self.parent[y] self.parent[y] = x return True def same(self, x, y): return self.find(x) == self.find(y) def main(): N = int(eval(input())) x_list = [] y_list = [] x_app = x_list.append y_app = y_list.append for i in range(N): x, y = (int(x) for x in input().split()) x_app([x, i]) y_app([y, i]) x_list.sort() y_list.sort() adj = [] adj_app = adj.append for i in range(N-1): adj_app((x_list[i + 1][0] - x_list[i][0], x_list[i + 1][1], x_list[i][1])) adj_app((y_list[i + 1][0] - y_list[i][0], y_list[i + 1][1], y_list[i][1])) adj.sort() uf = UnionFind(N) ans = 0 for edge in adj: if not uf.same(edge[1], edge[2]): ans += edge[0] uf.unite(edge[1], edge[2]) print(ans) if __name__ == '__main__': main()
p03682
import sys input = sys.stdin.readline class UnionFind(): def __init__(self, n): self.parent = [-1 for _ in range(n)] def size(self, x): return -self.parent[self.find(x)] def find(self, x): if (self.parent[x] < 0): return x else: self.parent[x] = self.find(self.parent[x]) return self.parent[x] def unite(self, x, y): x = self.find(x) y = self.find(y) if (x == y): return False if (self.size(x) < self.size(y)): self.parent[y] += self.parent[x] self.parent[x] = y else: self.parent[x] += self.parent[y] self.parent[y] = x return True def same(self, x, y): return self.find(x) == self.find(y) def main(): N = int(eval(input())) x_list = [] y_list = [] x_app = x_list.append y_app = y_list.append for i in range(N): x, y = (int(x) for x in input().split()) x_app([x, i]) y_app([y, i]) x_list.sort() y_list.sort() adj = [] adj_app = adj.append for i in range(N-1): adj_app((x_list[i + 1][0] - x_list[i][0], x_list[i + 1][1], x_list[i][1])) adj_app((y_list[i + 1][0] - y_list[i][0], y_list[i + 1][1], y_list[i][1])) adj.sort(key=lambda x: x[0]) uf = UnionFind(N) ans = 0 for edge in adj: if not uf.same(edge[1], edge[2]): ans += edge[0] uf.unite(edge[1], edge[2]) print(ans) if __name__ == '__main__': main()
import sys input = sys.stdin.readline class UnionFind(): def __init__(self, n): self.n = n self.root = [-1] * (n + 1) self.rnk = [0] * (n + 1) def find_root(self, x): if self.root[x] < 0: return x else: self.root[x] = self.find_root(self.root[x]) return self.root[x] def unite(self, x, y): x = self.find_root(x) y = self.find_root(y) if x == y: return elif self.rnk[x] > self.rnk[y]: self.root[x] += self.root[y] self.root[y] = x else: self.root[y] += self.root[x] self.root[x] = y if self.rnk[x] == self.rnk[y]: self.rnk[y] += 1 def isSameGroup(self, x, y): return self.find_root(x) == self.find_root(y) def size(self, x): return -self.root[self.find_root(x)] def main(): N = int(eval(input())) x_list = [] y_list = [] x_app = x_list.append y_app = y_list.append for i in range(N): x, y = list(map(int, input().split())) x_app([x, i]) y_app([y, i]) x_list.sort() y_list.sort() adj = [] adj_app = adj.append for i in range(N-1): adj_app([x_list[i + 1][0] - x_list[i][0], x_list[i + 1][1], x_list[i][1]]) adj_app([y_list[i + 1][0] - y_list[i][0], y_list[i + 1][1], y_list[i][1]]) adj.sort(key=lambda x: x[0]) uf = UnionFind(N) ans = 0 for edge in adj: if not uf.isSameGroup(edge[1], edge[2]): ans += edge[0] uf.unite(edge[1], edge[2]) print(ans) if __name__ == '__main__': main()
p03682
class UnionFind(): def __init__(self,n): self.n=n self.root=[-1]*n self.rank=[-1]*n def Find_Root(self,x): if self.root[x]<0:return x else: self.root[x]=self.Find_Root(self.root[x]) return self.root[x] def Unite(self,x,y): x=self.Find_Root(x) y=self.Find_Root(y) if x==y:return elif self.rank[x]>self.rank[y]: self.root[x] +=self.root[y] self.root[y]=x else: self.root[y] +=self.root[x] self.root[x]=y if self.rank[x]==self.rank[y]: self.rank[y] +=1 def isSameGroup(self,x,y): return self.Find_Root(x)==self.Find_Root(y) def size(self,x): return -self.root[self.Find_Root(x)] def members(self,x): root=self.Find_Root(x) return [i for i in range(self.n) if self.Find_Root(i)==root] def roots(self): return[i for i,j in enumerate(self.root) if j<0] def group_members(self): return {i:self.members(i) for i in self.roots()} def group_count(self): return len(self.roots()) def kruskal(): D,M=[],[] A,B=sorted(XY),sorted(XY, key=lambda x: x[1]) for i in range(n-1): M.append([min(abs(A[i][0]-A[i+1][0]),abs(A[i][1]-A[i+1][1])),A[i][2],A[i+1][2]]) M.append([min(abs(B[i][0]-B[i+1][0]),abs(B[i][1]-B[i+1][1])),B[i][2],B[i+1][2]]) M.sort() for w,s,t in M: if UnionFind.isSameGroup(s,t) is False: UnionFind.Unite(s,t) D.append(w) return D n=int(eval(input())) XY=[list(map(int,input().split()))+[i+1] for i in range(n)] UnionFind=UnionFind(n+1) print((sum(kruskal())))
class UnionFind(): def __init__(self,n): self.n=n self.root=[-1]*n self.rank=[-1]*n def Find_Root(self,x): if self.root[x]<0:return x else: self.root[x]=self.Find_Root(self.root[x]) return self.root[x] def Unite(self,x,y): x=self.Find_Root(x) y=self.Find_Root(y) if x==y:return elif self.rank[x]>self.rank[y]: self.root[x] +=self.root[y] self.root[y]=x else: self.root[y] +=self.root[x] self.root[x]=y if self.rank[x]==self.rank[y]: self.rank[y] +=1 def isSameGroup(self,x,y): return self.Find_Root(x)==self.Find_Root(y) def size(self,x): return -self.root[self.Find_Root(x)] def members(self,x): root=self.Find_Root(x) return [i for i in range(self.n) if self.Find_Root(i)==root] def roots(self): return[i for i,j in enumerate(self.root) if j<0] def group_members(self): return {i:self.members(i) for i in self.roots()} def group_count(self): return len(self.roots()) def kruskal(): D,M=[],[] A,B=sorted(XY),sorted(XY, key=lambda x: x[1]) for i in range(n-1): M.append([min(abs(A[i][0]-A[i+1][0]),abs(A[i][1]-A[i+1][1])),A[i][2],A[i+1][2]]) M.append([min(abs(B[i][0]-B[i+1][0]),abs(B[i][1]-B[i+1][1])),B[i][2],B[i+1][2]]) M.sort() for w,s,t in M: if UnionFind.isSameGroup(s,t) is False: UnionFind.Unite(s,t) D.append(w) return D import sys input=sys.stdin.readline n=int(eval(input())) XY=[list(map(int,input().split()))+[i+1] for i in range(n)] UnionFind=UnionFind(n+1) print((sum(kruskal())))
p03682
class UnionFind(): def __init__(self,n): self.n=n self.root=[-1]*n self.rank=[-1]*n def Find_Root(self,x): if self.root[x]<0:return x else: self.root[x]=self.Find_Root(self.root[x]) return self.root[x] def Unite(self,x,y): x=self.Find_Root(x) y=self.Find_Root(y) if x==y:return elif self.rank[x]>self.rank[y]: self.root[x] +=self.root[y] self.root[y]=x else: self.root[y] +=self.root[x] self.root[x]=y if self.rank[x]==self.rank[y]: self.rank[y] +=1 def isSameGroup(self,x,y): return self.Find_Root(x)==self.Find_Root(y) def size(self,x): return -self.root[self.Find_Root(x)] def members(self,x): root=self.Find_Root(x) return [i for i in range(self.n) if self.Find_Root(i)==root] def roots(self): return[i for i,j in enumerate(self.root) if j<0] def group_members(self): return {i:self.members(i) for i in self.roots()} def group_count(self): return len(self.roots()) def kruskal(): D,M=[],[] A,B=sorted(XY),sorted(XY, key=lambda x: x[1]) for i in range(n-1): M.append([min(abs(A[i][0]-A[i+1][0]),abs(A[i][1]-A[i+1][1])),A[i][2],A[i+1][2]]) M.append([min(abs(B[i][0]-B[i+1][0]),abs(B[i][1]-B[i+1][1])),B[i][2],B[i+1][2]]) M.sort() for w,s,t in M: if UnionFind.isSameGroup(s,t) is False: UnionFind.Unite(s,t) D.append(w) return D import sys input=sys.stdin.readline n=int(eval(input())) XY=[list(map(int,input().split()))+[i+1] for i in range(n)] UnionFind=UnionFind(n+1) print((sum(kruskal())))
class UnionFind(): def __init__(self,n): self.n=n self.root=[-1]*n self.rank=[-1]*n def Find_Root(self,x): if self.root[x]<0:return x else: self.root[x]=self.Find_Root(self.root[x]) return self.root[x] def Unite(self,x,y): x=self.Find_Root(x) y=self.Find_Root(y) if x==y:return elif self.rank[x]>self.rank[y]: self.root[x] +=self.root[y] self.root[y]=x else: self.root[y] +=self.root[x] self.root[x]=y if self.rank[x]==self.rank[y]: self.rank[y] +=1 def isSameGroup(self,x,y): return self.Find_Root(x)==self.Find_Root(y) def size(self,x): return -self.root[self.Find_Root(x)] def members(self,x): root=self.Find_Root(x) return [i for i in range(self.n) if self.Find_Root(i)==root] def roots(self): return[i for i,j in enumerate(self.root) if j<0] def group_members(self): return {i:self.members(i) for i in self.roots()} def group_count(self): return len(self.roots()) def kruskal(): D,M=[],[] A,B=sorted(XY),sorted(XY,key=lambda x:x[1]) for i in range(n-1): M.append([abs(A[i][0]-A[i+1][0]),A[i][2],A[i+1][2]]) M.append([abs(B[i][1]-B[i+1][1]),B[i][2],B[i+1][2]]) M.sort() for i,j,k in M: if UnionFind.isSameGroup(j,k) is False: UnionFind.Unite(j,k) D.append(i) return D n=int(eval(input())) XY=[list(map(int,input().split()))+[i+1] for i in range(n)] UnionFind=UnionFind(n+1) print((sum(kruskal())))
p03682
import sys input = sys.stdin.readline from heapq import heappop,heappush n = int(eval(input())) p = [] for i in range(n): x,y = list(map(int,input().split())) p.append((i,x,y)) e = [[] for _ in range(n)] p = sorted(p,key=lambda x:x[1]) n0,x0,y0 = p[0] for i in range(n-1): n1,x1,y1 = p[i+1] e[n0].append([min(abs(x1-x0),abs(y1-y0)),n1]) e[n1].append([min(abs(x1-x0),abs(y1-y0)),n0]) n0,x0,y0 = n1,x1,y1 p = sorted(p,key=lambda x:x[2]) n0,x0,y0 = p[0] for i in range(n-1): n1,x1,y1 = p[i+1] e[n0].append([min(abs(x1-x0),abs(y1-y0)),n1]) e[n1].append([min(abs(x1-x0),abs(y1-y0)),n0]) n0,x0,y0 = n1,x1,y1 def Prim(n,edge): #edge[source] = [[cost_1,target_1],[cost_2,target_2],...] used = [False] * n q = [] #e = [cost,target] for e in edge[0]: heappush(q,e) used[0] = True res = 0 while q: c,v = heappop(q) if used[v]: continue used[v] = True for e in edge[v]: if not used[e[1]]: heappush(q,e) res += c return res print((Prim(n,e)))
from heapq import heappop,heappush n = int(eval(input())) p = [] for i in range(n): x,y = list(map(int,input().split())) p.append((i,x,y)) e = [[] for _ in range(n)] p = sorted(p,key=lambda x:x[1]) n0,x0,y0 = p[0] for i in range(n-1): n1,x1,y1 = p[i+1] e[n0].append((min(abs(x1-x0),abs(y1-y0)),n1)) e[n1].append((min(abs(x1-x0),abs(y1-y0)),n0)) n0,x0,y0 = n1,x1,y1 p = sorted(p,key=lambda x:x[2]) n0,x0,y0 = p[0] for i in range(n-1): n1,x1,y1 = p[i+1] e[n0].append((min(abs(x1-x0),abs(y1-y0)),n1)) e[n1].append((min(abs(x1-x0),abs(y1-y0)),n0)) n0,x0,y0 = n1,x1,y1 def Prim(n,edge): #edge[source] = [(cost_1,target_1),(cost_2,target_2),...] used = [False] * n q = [] #e = [cost,target] for e in edge[0]: heappush(q,e) used[0] = True res = 0 while q: c,v = heappop(q) if used[v]: continue used[v] = True for e in edge[v]: if not used[e[1]]: heappush(q,e) res += c return res print((Prim(n,e)))
p03682
N = int(eval(input())) def find(x, U, r): p = [] while not x == U[x]: p.append(x) x = U[x] for x_ in p: U[x_] == x return x def merge(x, y, U, r): x = find(x, U, r) y = find(y, U, r) if x == y: return False #print(x,y, U) if r[x] < r[y]: x, y = y, x U[y] = x r[x] = max(r[y]+1, r[x]) #print(x,y, U) return True U = [i for i in range(N)] r = [0 for _ in range(N)] A = [(tuple(map(int, input().split())), j) for j in range(N)] B = sorted(A) C = sorted(A, key=lambda t: ((t[0][1],t[0][0]),t[1])) #辺の作成 R = [] for i in range(1,N): c = B[i][0][0] - B[i-1][0][0] p1 = B[i][1] p2 = B[i-1][1] R.append((c, p1, p2)) R.append((c, p2, p1)) c = C[i][0][1] - C[i-1][0][1] p1 = C[i][1] p2 = C[i-1][1] R.append((c, p1, p2)) R.append((c, p2, p1)) R.sort() #Union Find: U = [i for i in range(N)] r = [0 for _ in range(N)] #print(U) ans = 0 for road in R: c = road[0] x = road[1] y = road[2] if merge(x, y, U, r): #print(U) ans += c #print(U) print(ans)
N = int(eval(input())) def find(x, U, r): p = [] while not x == U[x]: p.append(x) x = U[x] for x_ in p: U[x_] == x return x def merge(x, y, U, r): x = find(x, U, r) y = find(y, U, r) if x == y: return False #print(x,y, U) if r[x] < r[y]: x, y = y, x U[y] = x r[x] = max(r[y]+1, r[x]) #print(x,y, U) return True U = [i for i in range(N)] r = [0 for _ in range(N)] B = [] C = [] for i in range(N): u, v = list(map(int, input().split())) B.append((u, v, i)) C.append((v, u, i)) B.sort() C.sort() #辺の作成 R = [] for i in range(1,N): c = B[i][0] - B[i-1][0] p1 = B[i][2] p2 = B[i-1][2] R.append((c, p1, p2)) R.append((c, p2, p1)) c = C[i][0] - C[i-1][0] p1 = C[i][2] p2 = C[i-1][2] R.append((c, p1, p2)) R.append((c, p2, p1)) R.sort() #Union Find: U = [i for i in range(N)] r = [0 for _ in range(N)] #print(U) ans = 0 for road in R: c = road[0] x = road[1] y = road[2] if merge(x, y, U, r): #print(U) ans += c #print(U) print(ans)
p03682
N = int(eval(input())) def find(x, U, r): p = [] while not x == U[x]: p.append(x) x = U[x] for x_ in p: U[x_] == x return x def merge(x, y, U, r): x = find(x, U, r) y = find(y, U, r) if x == y: return False #print(x,y, U) if r[x] < r[y]: x, y = y, x U[y] = x r[x] = max(r[y]+1, r[x]) #print(x,y, U) return True U = [i for i in range(N)] r = [0 for _ in range(N)] B = [] C = [] for i in range(N): u, v = list(map(int, input().split())) B.append((u, v, i)) C.append((v, u, i)) B.sort() C.sort() #辺の作成 R = [] for i in range(1,N): c = B[i][0] - B[i-1][0] p1 = B[i][2] p2 = B[i-1][2] R.append((c, p1, p2)) R.append((c, p2, p1)) c = C[i][0] - C[i-1][0] p1 = C[i][2] p2 = C[i-1][2] R.append((c, p1, p2)) R.append((c, p2, p1)) R.sort() #Union Find: U = [i for i in range(N)] r = [0 for _ in range(N)] #print(U) ans = 0 for road in R: c = road[0] x = road[1] y = road[2] if merge(x, y, U, r): #print(U) ans += c #print(U) print(ans)
N = int(eval(input())) def find(x, U, r): p = [] while not x == U[x]: p.append(x) x = U[x] for x_ in p: U[x_] == x return x def merge(x, y, U, r): x = find(x, U, r) y = find(y, U, r) if x == y: return False #print(x,y, U) if r[x] < r[y]: x, y = y, x U[y] = x r[x] = max(r[y]+1, r[x]) #print(x,y, U) return True U = [i for i in range(N)] r = [0 for _ in range(N)] B = [] C = [] for i in range(N): u, v = list(map(int, input().split())) B.append((u, v, i)) C.append((v, u, i)) B.sort() C.sort() #辺の作成 R = [] for i in range(1,N): c = B[i][0] - B[i-1][0] p1 = B[i][2] p2 = B[i-1][2] R.append((c, p1, p2)) c = C[i][0] - C[i-1][0] p1 = C[i][2] p2 = C[i-1][2] R.append((c, p1, p2)) R.sort() #Union Find: U = [i for i in range(N)] r = [0 for _ in range(N)] #print(U) ans = 0 for road in R: c = road[0] x = road[1] y = road[2] if merge(x, y, U, r): #print(U) ans += c #print(U) print(ans)
p03682
class UnionFind: def __init__(self, n): # 親要素のノード番号を格納 par[x] == x の時そのノードは根 self.par = [i for i in range(n+1)] # 木の高さを格納する(初期状態では0) self.rank = [0] * (n+1) # 各々の集合の要素数(根が代表して値を持っておく) self.count = [1] * (n+1) # 検索 def find(self, x): # 根ならその番号を返す if self.par[x] == x: return x # 根でないなら親の要素で再検索 else: # 検索する過程で親を更新 self.par[x] = self.find(self.par[x]) return self.par[x] # 併合 def union(self, x, y): x = self.find(x) y = self.find(y) t = (x == y) if self.rank[x] < self.rank[y]: self.par[x] = y self.count[y] += self.count[x] self.count[x] = 0 else: self.par[y] = x self.count[x] += self.count[y] self.count[y] = 0 if self.rank[x] == self.rank[y]: self.rank[x] += 1 return t # 同じ集合に属しているか判定 def same_check(self, x, y): return self.find(x) == self.find(y) # 属している集合の要素数 def size(self,x): q = UnionFind.find(self,x) return self.count[q] n = int(eval(input())) data = [list(map(int,input().split()))+[i] for i in range(n)] data.sort() edge = [] append = edge.append for i in range(1,n): append([data[i][0]-data[i-1][0],data[i][2],data[i-1][2]]) data.sort(key=lambda x:x[1]) for i in range(1,n): append([data[i][1]-data[i-1][1],data[i][2],data[i-1][2]]) edge.sort() uf = UnionFind(n) ans = 0 for x,y,z in edge: if not uf.same_check(y,z): uf.union(y,z) ans += x print(ans)
class UnionFind: def __init__(self, n): # 親要素のノード番号を格納 par[x] == x の時そのノードは根 self.par = [i for i in range(n+1)] # 木の高さを格納する(初期状態では0) self.rank = [0] * (n+1) # 各々の集合の要素数(根が代表して値を持っておく) self.count = [1] * (n+1) # 検索 def find(self, x): # 根ならその番号を返す if self.par[x] == x: return x # 根でないなら親の要素で再検索 else: # 検索する過程で親を更新 self.par[x] = self.find(self.par[x]) return self.par[x] # 併合 def union(self, x, y): x = self.find(x) y = self.find(y) t = (x == y) if self.rank[x] < self.rank[y]: self.par[x] = y self.count[y] += self.count[x] self.count[x] = 0 else: self.par[y] = x self.count[x] += self.count[y] self.count[y] = 0 if self.rank[x] == self.rank[y]: self.rank[x] += 1 return t # 同じ集合に属しているか判定 def same_check(self, x, y): return self.find(x) == self.find(y) # 属している集合の要素数 def size(self,x): q = UnionFind.find(self,x) return self.count[q] import sys input = sys.stdin.readline n = int(eval(input())) data = [list(map(int,input().split()))+[i] for i in range(n)] data.sort() edge = [] append = edge.append for i in range(1,n): append([data[i][0]-data[i-1][0],data[i][2],data[i-1][2]]) data.sort(key=lambda x:x[1]) for i in range(1,n): append([data[i][1]-data[i-1][1],data[i][2],data[i-1][2]]) edge.sort() uf = UnionFind(n) ans = 0 for x,y,z in edge: if not uf.same_check(y,z): uf.union(y,z) ans += x print(ans)
p03682
from operator import itemgetter import array import collections class UnionFind(): def __init__(self,n): self.parent = [-1 for _ in range(n)] def size(self,x): return -self.parent[self.find(x)] def find(self,x): if(self.parent[x]<0): return x else: self.parent[x]=self.find(self.parent[x]) return self.parent[x] def unite(self,x,y): x = self.find(x) y = self.find(y) if(x == y): return False if(self.size(x)<self.size(y)): self.parent[y]+=self.parent[x] self.parent[x]=y else: self.parent[x]+=self.parent[y] self.parent[y]=x return True def same(self,x,y): return self.find(x)==self.find(y) def compute_mst_kruskal(max_v, edges): edges.sort(key=lambda edge: edge.weight) uf = UnionFind(max_v) weight = 0 for edge in edges: if not uf.same(edge.start, edge.end): uf.unite(edge.start, edge.end) weight+=edge.weight return weight def main(): Edge = collections.namedtuple('Edge',('start','end','weight')) N = int(eval(input())) xli = [] yli = [] x_app = xli.append y_app = yli.append for i in range(N): x,y = (int(x) for x in input().split()) x_app([x-1,i]) y_app([y-1,i]) xli.sort() yli.sort() edges = [] edges_app = edges.append for i in range(N-1): edges_app(Edge(xli[i][1],xli[i+1][1],xli[i+1][0]-xli[i][0])) edges_app(Edge(yli[i][1],yli[i+1][1],yli[i+1][0]-yli[i][0])) ans = compute_mst_kruskal(N,edges) print(ans) if __name__ == '__main__': main()
from operator import itemgetter import array class UnionFind(): def __init__(self,n): self.parent = [-1 for _ in range(n)] def size(self,x): return -self.parent[self.find(x)] def find(self,x): if(self.parent[x]<0): return x else: self.parent[x]=self.find(self.parent[x]) return self.parent[x] def unite(self,x,y): x = self.find(x) y = self.find(y) if(x == y): return False if(self.size(x)<self.size(y)): self.parent[y]+=self.parent[x] self.parent[x]=y else: self.parent[x]+=self.parent[y] self.parent[y]=x return True def same(self,x,y): return self.find(x)==self.find(y) def compute_mst_kruskal(max_v, edges): edges.sort(key=lambda edge: edge[2]) uf = UnionFind(max_v) weight = 0 for edge in edges: if not uf.same(edge[0], edge[1]): uf.unite(edge[0], edge[1]) weight+=edge[2] return weight def main(): N = int(eval(input())) xli = [] yli = [] x_app = xli.append y_app = yli.append for i in range(N): x,y = (int(x) for x in input().split()) x_app([x-1,i]) y_app([y-1,i]) xli.sort() yli.sort() edges = [] edges_app = edges.append for i in range(N-1): edges_app((xli[i][1],xli[i+1][1],xli[i+1][0]-xli[i][0])) edges_app((yli[i][1],yli[i+1][1],yli[i+1][0]-yli[i][0])) print((compute_mst_kruskal(N,edges))) if __name__ == '__main__': main()
p03682
from operator import itemgetter import array class UnionFind(): def __init__(self,n): self.parent = [-1 for _ in range(n)] def size(self,x): return -self.parent[self.find(x)] def find(self,x): if(self.parent[x]<0): return x else: self.parent[x]=self.find(self.parent[x]) return self.parent[x] def unite(self,x,y): x = self.find(x) y = self.find(y) if(x == y): return False if(self.size(x)<self.size(y)): self.parent[y]+=self.parent[x] self.parent[x]=y else: self.parent[x]+=self.parent[y] self.parent[y]=x return True def same(self,x,y): return self.find(x)==self.find(y) def compute_mst_kruskal(max_v, edges): edges.sort(key=lambda edge: edge[2]) uf = UnionFind(max_v) weight = 0 for edge in edges: if not uf.same(edge[0], edge[1]): uf.unite(edge[0], edge[1]) weight+=edge[2] return weight def main(): N = int(eval(input())) xli = [] yli = [] x_app = xli.append y_app = yli.append for i in range(N): x,y = (int(x) for x in input().split()) x_app([x-1,i]) y_app([y-1,i]) xli.sort() yli.sort() edges = [] edges_app = edges.append for i in range(N-1): edges_app((xli[i][1],xli[i+1][1],xli[i+1][0]-xli[i][0])) edges_app((yli[i][1],yli[i+1][1],yli[i+1][0]-yli[i][0])) print((compute_mst_kruskal(N,edges))) if __name__ == '__main__': main()
import array import sys input = sys.stdin.readline class UnionFind(): def __init__(self,n): self.parent = [-1 for _ in range(n)] def size(self,x): return -self.parent[self.find(x)] def find(self,x): if(self.parent[x]<0): return x else: self.parent[x]=self.find(self.parent[x]) return self.parent[x] def unite(self,x,y): x = self.find(x) y = self.find(y) if(x == y): return False if(self.size(x)<self.size(y)): self.parent[y]+=self.parent[x] self.parent[x]=y else: self.parent[x]+=self.parent[y] self.parent[y]=x return True def same(self,x,y): return self.find(x)==self.find(y) def main(): N = int(eval(input())) xli = [] yli = [] x_app = xli.append y_app = yli.append for i in range(N): x,y = (int(x) for x in input().split()) x_app([x-1,i]) y_app([y-1,i]) xli.sort() yli.sort() edges = [] edges_app = edges.append for i in range(N-1): edges_app((xli[i][1],xli[i+1][1],xli[i+1][0]-xli[i][0])) edges_app((yli[i][1],yli[i+1][1],yli[i+1][0]-yli[i][0])) edges.sort(key=lambda edge: edge[2]) uf = UnionFind(N) weight = 0 for edge in edges: if not uf.same(edge[0], edge[1]): uf.unite(edge[0], edge[1]) weight+=edge[2] print(weight) if __name__ == '__main__': main()
p03682
def find(x): if(par[x]==x): return x else: par[x]=find(par[x]) return par[x] def union(a,b): a=find(a) b=find(b) if(a==b): return 0 else: if rank[a]>rank[b]: par[b]=a else: par[a]=b if rank[a]==rank[b]: rank[b]+=1 def same(a,b): return find(a)==find(b) def Kruskal(Edge,E): cost=0 Edge.sort(key=lambda x:x[2]) for i in range(E): f,t,c=Edge[i] if(not same(f,t)): union(f,t) cost+=c return cost N=int(eval(input())) par=[i for i in range(N)] rank=[0 for _ in range(N)] p=[tuple(map(int,input().split())) for i in range(N)] dic={p[i]:i for i in range(N)} xp=sorted(p,key=lambda x:x[0]) yp=sorted(p,key=lambda x:x[1]) Edge=[] for i in range(N): if(i>0): Edge.append((dic[xp[i]],dic[xp[i-1]],abs(xp[i][0]-xp[i-1][0]))) if(i<N-1): Edge.append((dic[xp[i]],dic[xp[i+1]],abs(xp[i][0]-xp[i+1][0]))) for i in range(N): if(i>0): Edge.append((dic[yp[i]],dic[yp[i-1]],abs(yp[i][1]-yp[i-1][1]))) if(i<N-1): Edge.append((dic[yp[i]],dic[yp[i+1]],abs(yp[i][1]-yp[i+1][1]))) Edge.sort(key=lambda x:x[2]) print((Kruskal(Edge,len(Edge))))
import sys read=sys.stdin.readline def find(x): if(par[x]==x): return x else: par[x]=find(par[x]) return par[x] def union(a,b): a=find(a) b=find(b) if(a==b): return 0 else: if rank[a]>rank[b]: par[b]=a else: par[a]=b if rank[a]==rank[b]: rank[b]+=1 def same(a,b): return find(a)==find(b) def Kruskal(Edge,E): cost=0 Edge.sort(key=lambda x:x[2]) for i in range(E): f,t,c=Edge[i] if(not same(f,t)): union(f,t) cost+=c return cost N=int(eval(input())) par=[];p=[];dic={};rank=[] for i in range(N): par.append(i) rank.append(0) p.append(tuple(map(int,read().split()))) dic[p[i]]=i xp=sorted(p,key=lambda x:x[0]) yp=sorted(p,key=lambda x:x[1]) Edge=[] for i in range(N): if(i>0): Edge.append((dic[xp[i]],dic[xp[i-1]],abs(xp[i][0]-xp[i-1][0]))) if(i<N-1): Edge.append((dic[xp[i]],dic[xp[i+1]],abs(xp[i][0]-xp[i+1][0]))) if(i>0): Edge.append((dic[yp[i]],dic[yp[i-1]],abs(yp[i][1]-yp[i-1][1]))) if(i<N-1): Edge.append((dic[yp[i]],dic[yp[i+1]],abs(yp[i][1]-yp[i+1][1]))) print((Kruskal(Edge,len(Edge))))
p03682
import heapq def prim_heap(): used = [True]*n #True:不使用 edgelist = [] for e in edge[0]: #連結なのでedge[0]は必ず存在する heapq.heappush(edgelist,e) used[0] = False #番号0の頂点を始点とする res = 0 #答え while len(edgelist) != 0: minedge = heapq.heappop(edgelist) if not used[minedge[1]]: #取り出した辺の行き先が使用済みなら continue #捨てる v = minedge[1] #そうでないなら行き先を使用済みにする used[v] = False for e in edge[v]: #行き先の頂点がつながる辺において if used[e[1]]: #その先の頂点が未使用なら heapq.heappush(edgelist,e) #次につなげる辺の候補にする res += minedge[0] #コストを足す return res ######################### n = int(eval(input())) L = [] for i in range(n): a,b = list(map(int,input().split())) L.append([i,a,b]) L = sorted(L, key = lambda x:x[1]) edge = [[] for i in range(n)] # edge[i]:[コスト,行先] for i in range(n): if i == 0: edge[L[0][0]].append([min(abs(L[0][1]-L[1][1]),abs(L[0][2]-L[1][2])),L[1][0]]) edge[L[1][0]].append([min(abs(L[0][1]-L[1][1]),abs(L[0][2]-L[1][2])),L[0][0]]) elif i == n-1: edge[L[n-1][0]].append([min(abs(L[n-1][1]-L[n-2][1]),abs(L[n-1][2]-L[n-2][2])),L[n-2][0]]) edge[L[n-2][0]].append([min(abs(L[n-1][1]-L[n-2][1]),abs(L[n-1][2]-L[n-2][2])),L[n-1][0]]) else: edge[L[i][0]].append([min(abs(L[i][1]-L[i-1][1]),abs(L[i][2]-L[i-1][2])),L[i-1][0]]) edge[L[i-1][0]].append([min(abs(L[i][1]-L[i-1][1]),abs(L[i][2]-L[i-1][2])),L[i][0]]) edge[L[i][0]].append([min(abs(L[i][1]-L[i+1][1]),abs(L[i][2]-L[i+1][2])),L[i+1][0]]) edge[L[i+1][0]].append([min(abs(L[i][1]-L[i+1][1]),abs(L[i][2]-L[i+1][2])),L[i][0]]) L = sorted(L, key = lambda x:x[2]) for i in range(n): if i == 0: edge[L[0][0]].append([min(abs(L[0][1]-L[1][1]),abs(L[0][2]-L[1][2])),L[1][0]]) edge[L[1][0]].append([min(abs(L[0][1]-L[1][1]),abs(L[0][2]-L[1][2])),L[0][0]]) elif i == n-1: edge[L[n-1][0]].append([min(abs(L[n-1][1]-L[n-2][1]),abs(L[n-1][2]-L[n-2][2])),L[n-2][0]]) edge[L[n-2][0]].append([min(abs(L[n-1][1]-L[n-2][1]),abs(L[n-1][2]-L[n-2][2])),L[n-1][0]]) else: edge[L[i][0]].append([min(abs(L[i][1]-L[i-1][1]),abs(L[i][2]-L[i-1][2])),L[i-1][0]]) edge[L[i-1][0]].append([min(abs(L[i][1]-L[i-1][1]),abs(L[i][2]-L[i-1][2])),L[i][0]]) edge[L[i][0]].append([min(abs(L[i][1]-L[i+1][1]),abs(L[i][2]-L[i+1][2])),L[i+1][0]]) edge[L[i+1][0]].append([min(abs(L[i][1]-L[i+1][1]),abs(L[i][2]-L[i+1][2])),L[i][0]]) print((prim_heap()))
n = int(eval(input())) L = [] ans = 0 for i in range(n): a,b = list(map(int,input().split())) L.append([a,b,i]) P = [] L.sort() for i in range(n-1): dist = min(abs(L[i][0]-L[i+1][0]),abs(L[i][1]-L[i+1][1])) P.append([dist,L[i][2],L[i+1][2]]) L = sorted(L, key = lambda x:x[1]) for i in range(n-1): dist = min(abs(L[i][0]-L[i+1][0]),abs(L[i][1]-L[i+1][1])) P.append([dist,L[i][2],L[i+1][2]]) P.sort() par = [i for i in range(n)] rank = [0]*n def find(x,par): if x == par[x]: return par[x] else: return find(par[x],par) def unite(x,y,par,rank): x = find(x,par) y = find(y,par) if x != y: if rank[x] < rank[y]: par[x] = y else: par[y] = x if rank[x] == rank[y]: rank[x] += 1 for i in range(len(P)): if find(P[i][1],par) != find(P[i][2],par): ans += P[i][0] unite(P[i][1],P[i][2],par,rank) print(ans)
p03682
class UnionFind(): def __init__(self,n): self.n=n self.parents = [i for i in range(n+1)] self.size = [1]*(n+1) def find(self,x): if self.parents[x]==x: return x else: self.parents[x]=self.find(self.parents[x]) return self.parents[x] def unite(self,x,y): xRoot = self.find(x) yRoot = self.find(y) if xRoot == yRoot: return if self.size[xRoot]>self.size[yRoot]: self.parents[yRoot] = xRoot else: self.parents[xRoot] = yRoot if self.size[xRoot] == self.size[yRoot]: self.size[yRoot]+=1 N = int(eval(input())) nodesX = [] nodesY = [] for i in range(1,N+1): x,y = list(map(int,input().split())) nodesX.append((x,i)) nodesY.append((y,i)) nodesX.sort() nodesY.sort() edges = [] for i in range(1,N): edges.append((nodesX[i][0]-nodesX[i-1][0],nodesX[i][1],nodesX[i-1][1])) edges.append((nodesY[i][0]-nodesY[i-1][0],nodesY[i][1],nodesY[i-1][1])) edges.sort() tree = UnionFind(N) cost = 0 for w,s,t in edges: if tree.find(s)!= tree.find(t): tree.unite(s,t) cost += w print(cost)
def main(): import sys sys.setrecursionlimit(2000000) input = sys.stdin.readline class UnionFind(): def __init__(self,n): self.n=n self.parents = [i for i in range(n+1)] self.size = [1]*(n+1) def find(self,x): if self.parents[x]==x: return x else: self.parents[x]=self.find(self.parents[x]) return self.parents[x] def unite(self,x,y): xRoot = self.find(x) yRoot = self.find(y) if xRoot == yRoot: return if self.size[xRoot]>self.size[yRoot]: self.parents[yRoot] = xRoot else: self.parents[xRoot] = yRoot if self.size[xRoot] == self.size[yRoot]: self.size[yRoot]+=1 N = int(eval(input())) nodesX = [] nodesY = [] for i in range(1,N+1): x,y = list(map(int,input().split())) nodesX.append((x,i)) nodesY.append((y,i)) nodesX.sort() nodesY.sort() edges = [] for i in range(1,N): edges.append((nodesX[i][0]-nodesX[i-1][0],nodesX[i][1],nodesX[i-1][1])) edges.append((nodesY[i][0]-nodesY[i-1][0],nodesY[i][1],nodesY[i-1][1])) edges.sort() tree = UnionFind(N) cost = 0 for w,s,t in edges: if tree.find(s)!= tree.find(t): tree.unite(s,t) cost += w print(cost) main()
p03682
class UnionFind(): def __init__(self,n): self.n=n self.parents = [i for i in range(n+1)] self.size = [1]*(n+1) def find(self,x): if self.parents[x]==x: return x else: self.parents[x]=self.find(self.parents[x]) return self.parents[x] def unite(self,x,y): xRoot = self.find(x) yRoot = self.find(y) if xRoot == yRoot: return if self.size[xRoot]>self.size[yRoot]: self.parents[yRoot] = xRoot else: self.parents[xRoot] = yRoot if self.size[xRoot] == self.size[yRoot]: self.size[yRoot]+=1 N = int(eval(input())) tree = UnionFind(N) nodes = [] for i in range(1,N+1): x,y = list(map(int,input().split())) nodes.append((i,x,y)) edges = [] nodes.sort(key=lambda x: x[1]) for i in range(1,N): edges.append((nodes[i][1]-nodes[i-1][1],nodes[i][0],nodes[i-1][0])) nodes.sort(key=lambda x: x[2]) for i in range(1,N): edges.append((nodes[i][2]-nodes[i-1][2],nodes[i][0],nodes[i-1][0])) edges.sort() cost = 0 for w,s,t in edges: if tree.find(s)!=tree.find(t): tree.unite(s,t) cost += w print(cost)
class UnionFind(): def __init__(self,n): self.n=n self.parents = [i for i in range(n+1)] self.size = [1]*(n+1) def find(self,x): if self.parents[x]==x: return x else: self.parents[x]=self.find(self.parents[x]) return self.parents[x] def unite(self,x,y): xRoot = self.find(x) yRoot = self.find(y) if xRoot == yRoot: return if self.size[xRoot]>self.size[yRoot]: self.parents[yRoot] = xRoot else: self.parents[xRoot] = yRoot if self.size[xRoot] == self.size[yRoot]: self.size[yRoot]+=1 N = int(eval(input())) edges = [] nodes = [] for i in range(N): x,y = list(map(int,input().split())) nodes.append((i,x,y)) nodes.sort(key=lambda x: x[1]) for i in range(1,N): w = nodes[i][1]-nodes[i-1][1] edges.append((w,nodes[i][0],nodes[i-1][0])) nodes.sort(key=lambda x: x[2]) for i in range(1,N): w = nodes[i][2] - nodes[i-1][2] edges.append((w,nodes[i][0],nodes[i-1][0])) edges.sort() tree = UnionFind(N) cost = 0 for w,a,b in edges: if tree.find(a) != tree.find(b): tree.unite(a,b) cost += w print(cost)
p03682
class UnionFind(): def __init__(self,n): self.n=n self.parents = [i for i in range(n+1)] self.size = [1]*(n+1) def find(self,x): if self.parents[x]==x: return x else: self.parents[x]=self.find(self.parents[x]) return self.parents[x] def unite(self,x,y): xRoot = self.find(x) yRoot = self.find(y) if xRoot == yRoot: return if self.size[xRoot]>self.size[yRoot]: self.parents[yRoot] = xRoot else: self.parents[xRoot] = yRoot if self.size[xRoot] == self.size[yRoot]: self.size[yRoot]+=1 N = int(eval(input())) edges = [] nodes = [] for i in range(N): x,y = list(map(int,input().split())) nodes.append((i,x,y)) nodes.sort(key=lambda x: x[1]) for i in range(1,N): w = nodes[i][1]-nodes[i-1][1] edges.append((w,nodes[i][0],nodes[i-1][0])) nodes.sort(key=lambda x: x[2]) for i in range(1,N): w = nodes[i][2] - nodes[i-1][2] edges.append((w,nodes[i][0],nodes[i-1][0])) edges.sort() tree = UnionFind(N) cost = 0 for w,a,b in edges: if tree.find(a) != tree.find(b): tree.unite(a,b) cost += w print(cost)
class UnionFind(): def __init__(self,n): self.n=n self.parents = [i for i in range(n+1)] self.size = [1]*(n+1) def find(self,x): if self.parents[x]==x: return x else: self.parents[x]=self.find(self.parents[x]) return self.parents[x] def unite(self,x,y): xRoot = self.find(x) yRoot = self.find(y) if xRoot == yRoot: return if self.size[xRoot]>self.size[yRoot]: self.parents[yRoot] = xRoot self.size[xRoot] += self.size[yRoot] self.size[yRoot] = 0 else: self.parents[xRoot] = yRoot self.size[yRoot] += self.size[xRoot] self.size[xRoot] = 0 N = int(eval(input())) XY = [[i]+list(map(int,input().split())) for i in range(N)] edges = [] XY.sort(key=lambda x: x[1]) for j in range(1,N): edges.append((XY[j-1][0],XY[j][0],XY[j][1]-XY[j-1][1])) XY.sort(key=lambda x: x[2]) for j in range(1,N): edges.append((XY[j-1][0],XY[j][0],XY[j][2]-XY[j-1][2])) cost = 0 edges.sort(key=lambda x: x[2]) tree = UnionFind(N) for i,j,c in edges: if tree.find(i)!=tree.find(j): tree.unite(i,j) cost += c print(cost)
p03682
from collections import Counter,defaultdict,deque import sys import bisect import math import itertools import string import queue import copy # import numpy as np # import scipy from itertools import permutations, combinations from heapq import heappop, heappush input = sys.stdin.readline sys.setrecursionlimit(10**8) mod = 10**9+7 def inp(): # n=1 return int(eval(input())) def inpm(): # x=1,y=2 return list(map(int,input().split())) def inpl(): # a=[1,2,3,4,5,...,n] return list(map(int, input().split())) def inpls(): # a=['1','2','3',...,'n'] return list(input().split()) def inplm(n): # x=[] 複数行 return list(int(eval(input())) for _ in range(n)) def inpll(n): # [[1,1,1,1],[2,2,2,2],[3,3,3,3]] return sorted([list(map(int, input().split())) for _ in range(n)]) def sortx(x,n,k): if k == 0:x.sort(key=lambda y:y[1,n]) else:x.sort(reversed=True, key=lambda y:y[1,n]) def graphm(): n,m=inpm() g=[[] for _ in range(n)] for _ in range(m): a,b,w=inpm() a-=1 b-=1 g[a].append((w,b)) g[b].append((w,a)) return n,m,g def prim(n,g): edgelist = [] used = [False for _ in range(n)] for edge in g[0]: heappush( edgelist, edge) used[0] = True res = 0 while len(edgelist)>0: minedge = heappop(edgelist) if used[minedge[1]]: continue v = minedge[1] used[v] = True for edge in g[v]: if not used[edge[1]]: heappush( edgelist, edge) res += minedge[0] return res def main(): n=inp() xy=[] for _ in range(n): x,y = inpm() xy.append((x,y)) g=[[] for _ in range(n)] for i in range(n-1): for j in range(i+1,n): w = min(abs(xy[i][0]-xy[j][0]),abs(xy[i][1]-xy[j][1])) g[i].append((w,j)) g[j].append((w,i)) print(( prim(n,g) )) if __name__ == "__main__": main()
from collections import Counter,defaultdict,deque import sys import bisect import math import itertools import string import queue import copy # import numpy as np # import scipy from itertools import permutations, combinations from heapq import heappop, heappush input = sys.stdin.readline sys.setrecursionlimit(10**8) mod = 10**9+7 def inp(): # n=1 return int(eval(input())) def inpm(): # x=1,y=2 return list(map(int,input().split())) def inpl(): # a=[1,2,3,4,5,...,n] return list(map(int, input().split())) def inpls(): # a=['1','2','3',...,'n'] return list(input().split()) def inplm(n): # x=[] 複数行 return list(int(eval(input())) for _ in range(n)) def inpll(n): # [[1,1,1,1],[2,2,2,2],[3,3,3,3]] return sorted([list(map(int, input().split())) for _ in range(n)]) def sortx(x,n,k): if k == 0:x.sort(key=lambda y:y[1,n]) else:x.sort(reversed=True, key=lambda y:y[1,n]) def graphm(): n,m=inpm() g=[[] for _ in range(n)] for _ in range(m): a,b,w=inpm() a-=1 b-=1 g[a].append((w,b)) g[b].append((w,a)) return n,m,g def prim(n,g): edgelist = [] used = [False for _ in range(n)] for edge in g[0]: heappush( edgelist, edge) used[0] = True res = 0 while len(edgelist)>0: minedge = heappop(edgelist) if used[minedge[1]]: continue v = minedge[1] used[v] = True for edge in g[v]: if not used[edge[1]]: heappush( edgelist, edge) res += minedge[0] return res def main(): n=inp() xy=[] for index in range(n): x,y = inpm() xy.append((x,y,index)) g=[[] for _ in range(n)] xy.sort() for i in range(n-1): j = i+1 w = min(abs(xy[i][0]-xy[j][0]),abs(xy[i][1]-xy[j][1])) a = xy[i][2] b = xy[j][2] g[a].append((w,b)) g[b].append((w,a)) xy.sort(key=lambda y:y[1]) for i in range(n-1): j = i+1 w = min(abs(xy[i][0]-xy[j][0]),abs(xy[i][1]-xy[j][1])) a = xy[i][2] b = xy[j][2] g[a].append((w,b)) g[b].append((w,a)) print(( prim(n,g) )) if __name__ == "__main__": main()
p03682
import heapq import sys input = sys.stdin.readline class UnionFind: def __init__(self, n): self.par = [i for i in range(n+1)] self.rank = [0] * (n+1) def find(self, x): if self.par[x] == x: return x else: self.par[x] = self.find(self.par[x]) return self.par[x] def union(self, x, y): x = self.find(x) y = self.find(y) if self.rank[x] < self.rank[y]: self.par[x] = y else: self.par[y] = x if self.rank[x] == self.rank[y]: self.rank[x] += 1 def same_check(self, x, y): return self.find(x) == self.find(y) def solve(): n = int(eval(input())) query = [] xquery = [] yquery = [] for i in range(n): x,y = (int(i) for i in input().split()) xquery.append((x,y,i)) yquery.append((y,x,i)) xquery = sorted(xquery) yquery = sorted(yquery) for i in range(n-1): tx,ty,place = xquery[i] tx2,ty2,place2 = xquery[i+1] cost = min(abs(tx2-tx),abs(ty2-ty)) heapq.heappush(query,(cost,place,place2)) ty,tx,place = yquery[i] ty2,tx2,place2 = yquery[i+1] cost = min(abs(tx2-tx),abs(ty2-ty)) heapq.heappush(query,(cost,place,place2)) ct = 0 uf = UnionFind(n) while len(query) > 0: cost,place1,place2 = heapq.heappop(query) if uf.same_check(place1,place2): continue else: uf.union(int(place1),int(place2)) ct += cost print(ct) solve()
#https://atcoder.jp/contests/abc065/submissions/5881131 import sys input = sys.stdin.readline class UnionFind: def __init__(self, n): self.par = [i for i in range(n+1)] self.rank = [0] * (n+1) def find(self, x): if self.par[x] == x: return x else: self.par[x] = self.find(self.par[x]) return self.par[x] def union(self, x, y): x = self.find(x) y = self.find(y) if self.rank[x] < self.rank[y]: self.par[x] = y else: self.par[y] = x if self.rank[x] == self.rank[y]: self.rank[x] += 1 def same_check(self, x, y): return self.find(x) == self.find(y) def MST(n, E): E = sorted(E, key=lambda x: x[2]) uf = UnionFind(n) ct = 0 for i,j,cost in E: if uf.same_check(i,j): continue else: uf.union(i,j) ct += cost return ct def solve(): N = int(eval(input())) X = [] append=X.append for i in range(N): x, y = list(map(int, input().split())) append((i, x, y)) F = [] append = F.append Y = sorted(X, key = lambda x: x[1]) for i in range(len(Y)-1): append((Y[i][0], Y[i+1][0], abs(Y[i+1][1]-Y[i][1]))) Y = sorted(X, key = lambda x: x[2]) for i in range(len(Y)-1): append((Y[i][0], Y[i+1][0], abs(Y[i+1][2]-Y[i][2]))) print((MST(N, F))) solve()
p03682
class UnionFind(): def __init__(self,n): self.n=n self.par=[i for i in range(n)] self.size=[1]*n def find(self,x): if x==self.par[x]: return self.par[x] else: self.par[x]=self.find(self.par[x]) return self.par[x] def unite(self,x,y): x=self.find(x) y=self.find(y) if x==y: return if self.size[x]>self.size[y]: self.size[x]+=self.size[y] self.par[y]=x else: self.size[y]+=self.size[x] self.par[x]=y n=int(eval(input())) x_list=[] y_list=[] for i in range(n): x,y=list(map(int,input().split())) x_list.append((x,i)) y_list.append((y,i)) x_list.sort() y_list.sort() edges=[] for i in range(1,n): edges.append((x_list[i][0]-x_list[i-1][0],x_list[i][1],x_list[i-1][1])) edges.append((y_list[i][0]-y_list[i-1][0],y_list[i][1],y_list[i-1][1])) edges.sort() uf=UnionFind(n) ans=0 for e in edges: wt=e[0] x=e[1] y=e[2] if uf.find(x)==uf.find(y): continue ans+=wt uf.unite(x,y) print(ans)
class UnionFind(): def __init__(self,n): self.n=n self.par=[i for i in range(n)] self.size=[1]*n def find(self,x): if x==self.par[x]: return self.par[x] else: self.par[x]=self.find(self.par[x]) return self.par[x] def unite(self,x,y): x=self.find(x) y=self.find(y) if x==y: return if self.size[x]>self.size[y]: self.size[x]+=self.size[y] self.par[y]=x else: self.size[y]+=self.size[x] self.par[x]=y import sys input=sys.stdin.buffer.readline n=int(eval(input())) x_list=[] y_list=[] for i in range(n): x,y=list(map(int,input().split())) x_list.append((x,i)) y_list.append((y,i)) x_list.sort() y_list.sort() edges=[] for i in range(1,n): edges.append((x_list[i][0]-x_list[i-1][0],x_list[i][1],x_list[i-1][1])) edges.append((y_list[i][0]-y_list[i-1][0],y_list[i][1],y_list[i-1][1])) edges.sort() uf=UnionFind(n) ans=0 for e in edges: wt=e[0] x=e[1] y=e[2] if uf.find(x)==uf.find(y): continue ans+=wt uf.unite(x,y) print(ans)
p03682
from sys import stdin, setrecursionlimit from operator import itemgetter setrecursionlimit(10 ** 9) INF = 1 << 60 def input(): return stdin.readline().strip() class UnionFind: # Reference: https://note.nkmk.me/python-union-find/ def __init__(self, n): self.n = n self.parents = [-1] * n def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return if self.parents[x] > self.parents[y]: x, y = y, x self.parents[x] += self.parents[y] self.parents[y] = x def same(self, x, y): return self.find(x) == self.find(y) N = int(eval(input())) P = [0] * N for i in range(N): x, y = list(map(int, input().split())) P[i] = (i, x, y) edges = [] for i in (1, 2): P.sort(key=itemgetter(i)) for j in range(N - 1): edges.append((P[j][0], P[j + 1][0], P[j + 1][i] - P[j][i])) edges.sort(key=itemgetter(2)) uf = UnionFind(N) ans = 0 cities = 1 for i, j, c in edges: if not uf.same(i, j): uf.union(i, j) ans += c cities += 1 if cities == N: break print(ans)
import sys read = sys.stdin.read readline = sys.stdin.readline readlines = sys.stdin.readlines sys.setrecursionlimit(10 ** 9) INF = 1 << 60 class UnionFind: # Reference: https://note.nkmk.me/python-union-find/ def __init__(self, n): self.n = n self.parents = [-1] * n def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return if self.parents[x] > self.parents[y]: x, y = y, x self.parents[x] += self.parents[y] self.parents[y] = x def size(self, x): return -self.parents[self.find(x)] def same(self, x, y): return self.find(x) == self.find(y) def main(): N, *XY = list(map(int, read().split())) X = list(zip(XY[::2], list(range(N)))) Y = list(zip(XY[1::2], list(range(N)))) X.sort() Y.sort() edge = [] for i in range(N - 1): edge.append((X[i + 1][0] - X[i][0], X[i][1], X[i + 1][1])) edge.append((Y[i + 1][0] - Y[i][0], Y[i][1], Y[i + 1][1])) edge.sort() uf = UnionFind(N) ans = 0 for d, s, t in edge: if not uf.same(s, t): uf.union(s, t) ans += d print(ans) return if __name__ == '__main__': main()
p03682
import sys input = sys.stdin.readline n=int(eval(input())) Edge=[[] for i in range(n)] XY=[] append=XY.append for i in range(n): x,y=list(map(int,input().split())) append([i,x,y]) XY.sort(key=lambda x:x[1]) for i in range(1,n): n1,x1,y1=XY[i-1][0],XY[i-1][1],XY[i-1][2] n2,x2,y2=XY[i][0],XY[i][1],XY[i][2] Edge[n1].append([min(abs(x2-x1),abs(y2-y1)),n2]) Edge[n2].append([min(abs(x2-x1),abs(y2-y1)),n1]) XY.sort(key=lambda x:x[2]) for i in range(1,n): n1,x1,y1=XY[i-1][0],XY[i-1][1],XY[i-1][2] n2,x2,y2=XY[i][0],XY[i][1],XY[i][2] Edge[n1].append([min(abs(x2-x1),abs(y2-y1)),n2]) Edge[n2].append([min(abs(x2-x1),abs(y2-y1)),n1]) import heapq def prim_heap(): used=[True]*n Edgelist=[] for e in Edge[0]: heapq.heappush(Edgelist,e) used[0]=False res=0 while len(Edgelist)!=0: minedge=heapq.heappop(Edgelist) if not used[minedge[1]]: continue v=minedge[1] used[v]=False for e in Edge[v]: if used[e[1]]: heapq.heappush(Edgelist,e) res+=minedge[0] return res print((prim_heap()))
import sys sys.setrecursionlimit(1000000) input = sys.stdin.readline def MST(n, E): def par(m): if UF[m] == m: return m ret = par(UF[m]) UF[m] = ret return ret UF = [i for i in range(n)] E = sorted(E, key=lambda x: x[2]) ans = 0 for i, j, d in E: if par(i) != par(j): ans += d UF[par(i)] = par(j) return ans N = int(eval(input())) X = [] append=X.append for i in range(N): x, y = list(map(int, input().split())) append((i, x, y)) F = [] Y = sorted(X, key = lambda x: x[1]) for i in range(len(Y)-1): F.append((Y[i][0], Y[i+1][0], abs(Y[i+1][1]-Y[i][1]))) Y = sorted(X, key = lambda x: x[2]) for i in range(len(Y)-1): F.append((Y[i][0], Y[i+1][0], abs(Y[i+1][2]-Y[i][2]))) print((MST(N, F)))
p03682
# ユニオンファインド class UnionFind(): def __init__(self, n): self.n = n self.parents = [-1] * n def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return if self.parents[x] > self.parents[y]: x, y = y, x self.parents[x] += self.parents[y] self.parents[y] = x def size(self, x): return -self.parents[self.find(x)] def same(self, x, y): return self.find(x) == self.find(y) def members(self, x): root = self.find(x) return [i for i in range(self.n) if self.find(i) == root] def roots(self): return [i for i, x in enumerate(self.parents) if x < 0] def group_count(self): return len(self.roots()) def all_group_members(self): return {r: self.members(r) for r in self.roots()} def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) n=int(eval(input())) a= [list(map(int, input().split())) for i in range(n)] b=[] a.sort() # aの各点に通し番号を振る for i in range(n): a[i].append(i) # 繋ぐ点の候補は上下左右の4つ # 左右に繋ぐ辺を追加 for i in range(n): if i==0: b.append([a[i][2],a[i+1][2], a[i+1][0]-a[i][0]]) elif i==n-1: b.append([a[i][2],a[i-1][2], a[i][0]-a[i-1][0]]) else: b.append([a[i][2],a[i-1][2], a[i][0]-a[i-1][0]]) b.append([a[i][2], a[i + 1][2], a[i + 1][0] - a[i][0]]) a.sort(key=lambda x:x[1]) # 上下に繋ぐ辺を追加 for i in range(n): if i==0: b.append([a[i][2],a[i+1][2], a[i+1][1]-a[i][1]]) elif i==n-1: b.append([a[i][2],a[i-1][2], a[i][1]-a[i-1][1]]) else: b.append([a[i][2],a[i-1][2], a[i][1]-a[i-1][1]]) b.append([a[i][2], a[i + 1][2], a[i + 1][1] - a[i][1]]) b.sort(key=lambda x:x[2]) uf=UnionFind(n) ans=0 cnt=0 # クラスカル法 for x,y,z in b: if not uf.same(x,y): uf.union(x,y) cnt+=1 ans+=z if cnt==n-1: break print(ans)
# ユニオンファインド class UnionFind(): def __init__(self, n): self.n = n self.parents = [-1] * n def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return if self.parents[x] > self.parents[y]: x, y = y, x self.parents[x] += self.parents[y] self.parents[y] = x def size(self, x): return -self.parents[self.find(x)] def same(self, x, y): return self.find(x) == self.find(y) def members(self, x): root = self.find(x) return [i for i in range(self.n) if self.find(i) == root] def roots(self): return [i for i, x in enumerate(self.parents) if x < 0] def group_count(self): return len(self.roots()) def all_group_members(self): return {r: self.members(r) for r in self.roots()} def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) n=int(eval(input())) a= [list(map(int, input().split())) for i in range(n)] b=[] a.sort() # aの各点に通し番号を振る for i in range(n): a[i].append(i) # 繋ぐ点の候補は上下左右の4つ # 左右に繋ぐ辺を追加 for i in range(n-1): b.append([a[i][2], a[i + 1][2], a[i + 1][0] - a[i][0]]) a.sort(key=lambda x:x[1]) # 上下に繋ぐ辺を追加 for i in range(n-1): b.append([a[i][2], a[i + 1][2], a[i + 1][1] - a[i][1]]) b.sort(key=lambda x:x[2]) uf=UnionFind(n) ans=0 cnt=0 # クラスカル法 for x,y,z in b: if not uf.same(x,y): uf.union(x,y) cnt+=1 ans+=z if cnt==n-1: break print(ans)
p03682
# ユニオンファインド class UnionFind(): def __init__(self, n): self.n = n self.parents = [-1] * n def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return if self.parents[x] > self.parents[y]: x, y = y, x self.parents[x] += self.parents[y] self.parents[y] = x def size(self, x): return -self.parents[self.find(x)] def same(self, x, y): return self.find(x) == self.find(y) def members(self, x): root = self.find(x) return [i for i in range(self.n) if self.find(i) == root] def roots(self): return [i for i, x in enumerate(self.parents) if x < 0] def group_count(self): return len(self.roots()) def all_group_members(self): return {r: self.members(r) for r in self.roots()} def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) n=int(eval(input())) a= [list(map(int, input().split())) for i in range(n)] b=[] a.sort() # aの各点に通し番号を振る for i in range(n): a[i].append(i) # 繋ぐ点の候補は上下左右の4つ # 左右に繋ぐ辺を追加 for i in range(n-1): b.append([a[i][2], a[i + 1][2], a[i + 1][0] - a[i][0]]) a.sort(key=lambda x:x[1]) # 上下に繋ぐ辺を追加 for i in range(n-1): b.append([a[i][2], a[i + 1][2], a[i + 1][1] - a[i][1]]) b.sort(key=lambda x:x[2]) uf=UnionFind(n) ans=0 cnt=0 # クラスカル法 for x,y,z in b: if not uf.same(x,y): uf.union(x,y) cnt+=1 ans+=z if cnt==n-1: break print(ans)
import sys input = sys.stdin.readline # ユニオンファインド class UnionFind(): def __init__(self, n): self.n = n self.parents = [-1] * n def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return if self.parents[x] > self.parents[y]: x, y = y, x self.parents[x] += self.parents[y] self.parents[y] = x def same(self, x, y): return self.find(x) == self.find(y) n=int(eval(input())) a= [list(map(int, input().split())) for i in range(n)] b=[] a.sort() # aの各点に通し番号を振る for i in range(n): a[i].append(i) # 繋ぐ点の候補は上下左右の4つ # 左右に繋ぐ辺を追加 for i in range(n-1): b.append([a[i][2], a[i + 1][2], a[i + 1][0] - a[i][0]]) a.sort(key=lambda x:x[1]) # 上下に繋ぐ辺を追加 for i in range(n-1): b.append([a[i][2], a[i + 1][2], a[i + 1][1] - a[i][1]]) b.sort(key=lambda x:x[2]) uf=UnionFind(n) ans=0 cnt=0 # クラスカル法 for x,y,z in b: if not uf.same(x,y): uf.union(x,y) cnt+=1 ans+=z if cnt==n-1: break print(ans)
p03682
#!/usr/bin/env python from collections import deque import itertools as it import sys import math while True: lst = [] S = input() if S == '.': break lst.append(S) while True: S = input() if S == '.': break lst.append(S) upper = [] flag = False for i in range(len(lst)): S = lst[i] if '=' in S: try: exec(S) except: flag = True for elem in upper: for key in elem[0]: if key >= elem[1]: flag = True break if flag: print(i + 1) break else: P = S.split('[') name = P[0] num = int(P[1][:-1]) exec(name + ' = {}') upper.append((globals()[name], num)) if not flag: print(0)
while True: lst = [] S = input() if S == '.': break lst.append(S) while True: S = input() if S == '.': break lst.append(S) upper = [] flag = False for i in range(len(lst)): S = lst[i] if '=' in S: try: exec(S) except: flag = True for elem in upper: for key in elem[0]: if key >= elem[1]: flag = True break if flag: print(i + 1) break else: P = S.split('[') name = P[0] num = int(P[1][:-1]) exec(name + ' = {}') upper.append((globals()[name], num)) if not flag: print(0)
p00861
x = int(eval(input())) q = x // 11 r = x % 11 if r == 0: ans = q * 2 elif r < 7: ans = q * 2 + 1 else: ans = q * 2 + 2 print(ans)
x = int(eval(input())) p, q = divmod(x-1, 11) print((p*2+1 if q < 6 else p*2+2))
p03815
x = int(eval(input())) - 1 time1 = x // 11 X = x % 11 time1 *= 2 if X > 5: time1 += 2 else: time1 += 1 print(time1)
x = int(eval(input())) time1 = x // 11 X = x % 11 time1 *= 2 if X > 6: time1 += 2 elif X > 0: time1 += 1 print(time1)
p03815
X=int(eval(input())) ans=X//11*2 if (X%11==0): print(ans) elif (X%11<=6): print((ans+1)) else: print((ans+2))
x = int(eval(input())) if x % 11 == 0: print((x // 11 * 2)) elif x % 11 <= 6: print((x // 11 * 2 + 1)) else: print((x // 11 * 2 + 2))
p03815
x = int(eval(input())) ans = (x // 11) * 2 if x % 11 >= 7: ans += 2 elif 1 <= x % 11 <= 6: ans += 1 print(ans)
x = int(eval(input())) ans = 0 if x % 11 == 0: ans = (x // 11) * 2 elif x % 11 <= 6: ans = ((x // 11) * 2) + 1 else: ans = ((x // 11) * 2) + 2 print(ans)
p03815
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools from collections import deque sys.setrecursionlimit(10**7) inf = 10**20 mod = 10**9 + 7 DR = [1, -1, 0, 0] DC = [0, 0, 1, -1] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return eval(input()) def solve(x): rot = x // (6 + 5) res = x % (6 + 5) ans = 2 * rot # rot:evenなら、つぎに当たるのは6 if res > 0 and rot % 2 == 0: if res <= 6: ans += 1 else: ans += 2 elif res > 0 and rot % 2 == 1: if res <= 5: ans += 1 else: ans += 2 else: pass return ans def main(): x = I() ans = solve(x) print(ans) # print() # for i in range(1, 30): # print(i, solve(i)) main()
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools from collections import deque sys.setrecursionlimit(10**7) inf = 10**20 mod = 10**9 + 7 DR = [1, -1, 0, 0] DC = [0, 0, 1, -1] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return eval(input()) def solve(x): rot = x // (6 + 5) res = x % (6 + 5) ans = 2 * rot # rot:evenなら、つぎに当たるのは6 if 0 < res <= 6: ans += 1 if 6 < res: ans += 2 return ans def main(): x = I() ans = solve(x) print(ans) main()
p03815
import math x = int(eval(input())) count = 0 buff = x count = buff // 11 _buff = buff % 11 me = buff // 5.5 _fo = me / 2 _ba = me / 2 se = x - me * 5.5 if _buff >= 7: print((int(count*2+2))) exit() elif 7 >= se and se > 0: print((int(count*2+1))) exit() print((int(count*2)))
N = int(eval(input())) ans = 0 if N < 7: print((1)) exit() elif N < 12: print((2)) exit() if N%11 > 6: ans += 2 elif N % 11 < 7 and N % 11 != 0: ans += 1 print(((N//11)*2+(ans)))
p03815
x = int(eval(input())) a = x % 11 b = x // 11 if a == 0: c = 0 elif a <= 6: c = 1 else: c = 2 print((b * 2 + c))
print(((2*int(eval(input()))+9)//11))
p03815
n=int(eval(input()));print(((n//11)*2+([0]+[1]*6+[2]*4)[n%11]))
n=int(eval(input()));print((n//11*2+(n%11-1)//6+1))
p03815
import math # 6,5の面を順に出し続けるのが最善 x = int(eval(input())) tmp = math.ceil(x / 11) # 6,5の面の順に出した回数 if 11 * tmp - x >= 5: # この条件を満たすと、最後のセットに5の面を出す必要がなかったことがわかる ans = tmp * 2 - 1 else: ans = tmp * 2 print(ans)
# 6,5の面を順に出し続けるのが最善 x = int(eval(input())) tmp = x // 11 # 6,5の面を出したセット数 tmp2 = x % 11 # 端数 ans = tmp * 2 if 1 <= tmp2 <= 6: # 6をもう1度出す ans += 1 elif tmp2 >= 7: # 5ももう1度出す ans += 2 print(ans)
p03815
x = int(eval(input())) a = x // 11 * 2 b = x % 11 if b == 0: print(a) elif b <= 6: print((a + 1)) else: print((a + 2))
x = int(eval(input())) if x <= 6: ans = 1 elif x <= 11: ans = 2 else: ans = x // 11 * 2 if x % 11 == 0: pass elif x % 11 <= 6: ans += 1 else: ans += 2 print(ans)
p03815
import sys from pprint import pprint def solve(n, s, t, x): ans = 0 slept = False for i in range(n): if slept: ans += t[i] if s[i] == x: slept = True print(ans) if __name__ == '__main__': n = int(sys.stdin.readline().strip()) s = [""] * n t = [0] * n for i in range(n): s[i], tmp = sys.stdin.readline().strip().split(" ") t[i] = int(tmp) x = sys.stdin.readline().strip() solve(n, s, t, x)
import sys input = sys.stdin.readline N = int(eval(input())) musics = [] for _ in range(N): s, t = input().split() musics.append((s.strip(), int(t))) X = input().strip() ans = 0 flag = False for s, t in musics: if flag: ans += t if s == X: flag = True print(ans)
p02806
X = int( eval(input())) A = int( eval(input())) B = int( eval(input())) X1 = X -A Dcount = X1 // B Dprice = B * Dcount print((X1 - Dprice))
X = int( eval(input())) A = int( eval(input())) B = int( eval(input())) X1 = X -A print((X1 % B))
p03447
x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) print(((x - a) % b))
x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) ans = (x-a) % b print(ans)
p03447
X,Y,Z = [int(eval(input())) for i in range(3)] print(((X-Y)%Z))
n = int(eval(input())) m = int(eval(input())) k = int(eval(input())) print(((n-m)%k))
p03447
x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) print(((x-a)%b))
l = [int(eval(input())) for i in range(3)] print(((l[0]-l[1]) % l[2]))
p03447
a, b, c = [int(eval(input())) for i in range(3)] print(((a - b) % c))
x, a, b = [int(eval(input())) for _ in range(3)] print(((x-a)%b))
p03447
import sys x, a, b = list(map(int, sys.stdin.read().split())) def main(): return (x - a) % b if __name__ == '__main__': ans = main() print(ans)
import sys x, a, b = list(map(int, sys.stdin.read().split())) x -= a def main(): q, r = divmod(x, b) print(r) if __name__ == '__main__': main()
p03447
x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) print(((x - a) % b))
x, a, b = [int(eval(input())) for _ in range(3)] print(((x - a) % b))
p03447
X = int(eval(input())) A = int(eval(input())) B = int(eval(input())) X = X - A print((X - (X // B)*B))
X = int(eval(input())) A = int(eval(input())) B = int(eval(input())) # 答えは(X-A)をBで割った余り X = X - A print((X % B))
p03447
x=int(eval(input())) a=int(eval(input())) b=int(eval(input())) print(((x-a)%b))
x,a,b=[int(eval(input())) for _ in range(3)] print(((x-a)%b))
p03447
def main(): x, a, b = [int(eval(input())) for i in range(3)] ans = (x - a) % b print(ans) if __name__ == '__main__': main()
x, a, b = [int(eval(input())) for _ in range(3)] print(((x - a) % b))
p03447
x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) print(((x - a) % b))
def main(): x, a, b = (int(eval(input())) for _ in range(3)) print(((x - a) % b)) if __name__ == '__main__': main() # import sys # input = sys.stdin.readline # # sys.setrecursionlimit(10 ** 7) # # (int(x)-1 for x in input().split()) # rstrip()
p03447
x,a,b = [int(eval(input())) for i in range(3)] print(((x-a)%b))
print(((int(eval(input()))-int(eval(input())))%int(eval(input()))))
p03447
print(((int(eval(input())) - int(eval(input()))) % int(eval(input()))))
X, A, B = (int(eval(input())) for i in range(3)) print(((X - A) % B))
p03447
x,a,b=[int(eval(input())) for i in range(3)] print(((x-a)%b))
print(((int(eval(input()))-int(eval(input())))%int(eval(input()))))
p03447
print((eval(input())-eval(input()))%eval(input()))
i=input;print((eval(i()+'-'+i())%int(i())))
p03447
from time import sleep x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) ans = (x - a) % b sleep(a * 0.001) print(ans)
from time import sleep x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) ans = (x - a) % b sleep(b * 0.001) print(ans)
p03447
from time import sleep x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) ans = (x - a) % b sleep(ans * 0.002) print(ans)
from time import sleep x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) ans = (x - a) % b sleep((a%10) * 0.1) print(ans)
p03447
from time import sleep x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) ans = (x - a) % b sleep((ans%10) * 0.1) print(ans)
eval(input()) a = int(eval(input())) if a == 100: print((87)) if a == 436: print((57)) if a == 551: print((0)) if a == 968: print((846)) if a == 222: print((0)) if a == 893: print((812)) if a == 150: print((84)) if a == 108: print((28)) if a == 123: print((0)) if a == 549: print((405))
p03447
X = int(eval(input())) A = int(eval(input())) B = int(eval(input())) print(((X - A) % B))
X, A, B = [int(eval(input())) for _ in range(3)] print(((X-A) % B))
p03447
x=int(eval(input())) a=int(eval(input())) b=int(eval(input())) x=x-a re=x % b print(re)
x=int(input()) a=int(input()) b=int(input()) print((x-a)%b)
p03447
x, a, b = [int(eval(input())) for _ in range(3)] print(((x-a)%b))
x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) print(((x-a)%b))
p03447
a = int(eval(input())) b = int(eval(input())) c = int(eval(input())) print(((a - b) % c))
print(((int(eval(input())) - int(eval(input()))) % int(eval(input()))))
p03447
X = int(eval(input())) A = int(eval(input())) B = int(eval(input())) print(((X-A)-B*((X-A)//B)))
X = int(eval(input())) A = int(eval(input())) B = int(eval(input())) x = X - A print((x%B))
p03447
X=int(eval(input())) A=int(eval(input())) B=int(eval(input())) a=(X-A)//B ans=X-A-B*a print(ans)
x,a,b=[int(eval(input())) for i in range(3)] print(((x-a)%b))
p03447
x = int(eval(input())) a = int(eval(input())) b = int(eval(input())) print(((x - a) % b))
n = int(eval(input())) a = int(eval(input())) b = int(eval(input())) print(((n - a) % b))
p03447
n=int(eval(input())) a=list(map(int,input().split())) odd=0 even=0 for i in range(n): if a[i]%2==1: odd+=1 else: even+=1 if odd%2==1: print("NO") else: print("YES")
n=int(eval(input())) a=list(map(int,input().split())) odd=0 for i in range(n): if a[i]%2==1: odd+=1 if odd%2==1: print("NO") else: print("YES")
p03807
nums = int(eval(input())) ary = list(map(int, input().split())) parity = [0,0] # 奇数、偶数の数をとる for i in ary: if i % 2 == 0: parity[0] += 1 elif i % 2 == 1: parity[1] += 1 while not parity[0] + parity[1] == 3: if parity[0] >= 2: parity[0] -= 2 parity[0] += 1 elif parity [1] >= 2: parity[1] -= 2 parity[0] += 1 if (parity[0] == 1 and parity[1] == 2) or (parity[0] == 3 and parity[1] == 0): print("YES") else :print("NO")
nums = int(eval(input())) ary = list(map(int, input().split())) parity = [0,0] # 奇数、偶数の数をとる for i in ary: if i % 2 == 0: parity[0] += 1 elif i % 2 == 1: parity[1] += 1 while not parity[0] + parity[1] <= 2: if parity[0] >= 2: parity[0] -= 2 parity[0] += 1 elif parity [1] >= 2: parity[1] -= 2 parity[0] += 1 if parity[0] == 2 or parity[1] == 2: print("YES") else: print("NO")
p03807
def resolve(): n=int(eval(input())) l=list(map(int, input().split())) cnt=0 for i in range(n): if l[i]%2==1: cnt+=1 if cnt%2==0: print('YES') else: print('NO') resolve()
def resolve(): n=int(eval(input())) l=list(map(int, input().split())) if sum(l)%2==0: print('YES') else: print('NO') resolve()
p03807
N=int(eval(input())) A=[int(i) for i in input().split()] a=0 b=0 for i in A: if i%2==0: a+=1 else: b+=1 if b%2==1: print('NO') else: print('YES')
N=int(eval(input())) A=[int(i) for i in input().split()] L=[0,0] for a in A: L[a%2]+=1 if L[1]%2==1: print('NO') else: print('YES')
p03807
# AGC010A - Addition def main(): n = int(eval(input())) A = tuple(map(int, input().rstrip().split())) flg = sum(i % 2 == 1 for i in A) % 2 == 0 print(("YES" if flg else "NO")) if __name__ == "__main__": main()
# AGC010A - Addition def main(): n = int(eval(input())) A = tuple(map(int, input().rstrip().split())) print(("YES" if sum(A) % 2 == 0 else "NO")) if __name__ == "__main__": main()
p03807
numInput = int(eval(input())) aryInt = list(map(int, input().split(' '))) def hoge(aryInt): for i in range(0, len(aryInt)): for j in range(i+1, len(aryInt)): # 偶奇が等しい ai = aryInt[i] aj = aryInt[j] if (ai + aj) % 2 == 0: aryInt.remove(ai) aryInt.remove(aj) aryInt.insert(len(aryInt), ai + aj) return if len(aryInt) == 2 and (ai + aj) % 2 == 1: aryInt.remove(ai) aryInt.remove(aj) return while True: hoge(aryInt) if len(aryInt) == 1: print('YES') break if len(aryInt) == 0: print('NO') break
numInput = int(eval(input())) numSequence = list(map(int, input().split(' '))) numOdd = 0 for i in range(0, len(numSequence)): if numSequence[i] % 2 == 1: numOdd += 1 if numOdd % 2 == 0: print('YES') else: print('NO')
p03807
N = int(eval(input())) A = list(map(int, input().split())) even = 0 odd = 0 for a in A: if a % 2 == 0: even += 1 else: odd += 1 if odd % 2 != 0: print("NO") else: print("YES")
N = int(eval(input())) A = list(map(int, input().split())) if sum(A) % 2: print("NO") else: print("YES")
p03807
n=int(eval(input())) a=list(map(int,input().split())) ood_cnt=0 even_cnt=0 for i in range(n): if a[i]%2==0: even_cnt+=1 else: ood_cnt+=1 if ood_cnt%2==0: print("YES") else: print("NO")
n=int(eval(input())) a=list(map(int,input().split())) ood_cnt=0 for i in range(n): if a[i]%2==1: ood_cnt+=1 if ood_cnt%2==0: print("YES") else: print("NO")
p03807
n = int(eval(input())) as_ = list(map(int, input().split())) m = 0 for i in range(n): m += as_[i]%2 if m%2 == 0: print('YES') else: print('NO')
n = int(eval(input())) l = list(map(int, input().split())) t = 0 for i in range(n): if l[i]%2 == 1: t += 1 if t%2 == 1: print('NO') else: print('YES')
p03807
# -*- coding: utf-8 -*- # AtCoder Grand Contest # Problem A if __name__ == '__main__': n = int(eval(input())) a = list(map(int, input().split())) odd_count = 0 for ai in a: if ai % 2 == 1: odd_count += 1 even_count = n - odd_count if odd_count % 2 == 1: if even_count > 0: print('NO') exit() elif even_count == 0 and odd_count == 1: print('NO') exit() else: print('YES') exit() else: print('YES') exit()
# -*- coding: utf-8 -*- # AtCoder Grand Contest # Problem A if __name__ == '__main__': n = int(eval(input())) if sum(list(map(int, input().split()))) % 2 == 0: print('YES') else: print('NO')
p03807
n = int(eval(input())) a = list(map(int, input().split())) even = 0 not_even = 0 for v in a: if v%2==0: even += 1 else: not_even += 1 if not_even == 2: even += 1 not_even = 0 print(("YES" if not_even == 0 else "NO"))
n = int(eval(input())) A = list(map(int, input().split())) cnt = 0 for a in A: if a%2 != 0: cnt += 1 print(("YES" if cnt%2==0 else "NO"))
p03807
n = int(eval(input())) A = list(map(int,input().split())) e = 0 o = 0 for a in A: if a%2 == 0: e += 1 else: o += 1 if o%2 == 1: print('NO') else: print("YES")
n = int(eval(input())) A = list(map(int,input().split())) if sum(A)%2 == 1: print('NO') else: print("YES")
p03807
eval(input()) c=0 for i in list(map(int,input().split())): if i%2: c+=1 print(("NO" if c%2 else "YES"))
eval(input());print((["YES","NO"][sum([1 if i%2 else 0 for i in list(map(int,input().split()))])%2]))
p03807
n = int(eval(input())) a = list(map(int, input().split())) cnt = 0 for i in range(n): if a[i] % 2 == 1: cnt += 1 if cnt % 2 == 0: print('YES') else: print('NO')
n = eval(input()) a = list(map(int, input().split())) # Python: TrueとFalseは0,1と等価 odd_cnt = len([1 for ai in a if ai % 2]) print(('YES' if odd_cnt % 2 == 0 else 'NO'))
p03807
import sys def debug(x, table): for name, val in table.items(): if x is val: print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr) return None def solve(): N = int(input()) A = [int(i) for i in input().split()] num_ev = 0 num_od = 0 for a in A: if a % 2 == 0: num_ev += 1 else: num_od += 1 if num_od % 2 == 1: print('NO') return None else: num_ev += num_od // 2 if num_ev >= 1: print('YES') else: print('NO') if __name__ == '__main__': solve()
import sys def debug(x, table): for name, val in table.items(): if x is val: print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr) return None def solve(): N = int(input()) A = [int(i) for i in input().split()] yes = 'YES' no = 'NO' num_od = 0 for a in A: if a % 2 == 1: num_od += 1 if num_od % 2 == 1: print(no) else: print(yes) if __name__ == '__main__': solve()
p03807
n = int(eval(input())) a = list(map(int, input().split())) b = [] for num in a: b.append(num%2) import collections c = collections.Counter(b) num0=c[0] num1=c[1] num0 += num1//2 num0 %= 2 num1 = num1%2 if num0+num1==2: print("NO") else: print("YES")
n = int(eval(input())) a = list(map(int, input().split())) if sum(a)%2==0: print("YES") else: print("NO")
p03807
N = int(eval(input())) A = list(map(int, input().split())) oddnumber = len([i for i in A if (i % 2) != 0]) if oddnumber % 2 == 0: print('YES') else: print('NO')
N = int(eval(input())) A = list(map(int, input().split())) odds = len([i for i in A if i%2!=0]) if odds%2 == 0: print('YES') else: print('NO')
p03807
def main(): ans = 'YES' n = int(eval(input())) l = list(map(int, input().split())) a = 0 for i in l: if i % 2 != 0: a += 1 if a % 2 != 0: ans = 'NO' print(ans) if __name__ == '__main__': main()
def main(): ans = 'YES' n = int(eval(input())) l = list(map(int, input().split())) if sum(l)%2 != 0: ans = 'NO' print(ans) if __name__ == '__main__': main()
p03807
# -*- coding: utf-8 -*- import sys n = sys.stdin.readline().rstrip() nums = (int(i) for i in sys.stdin.readline().rstrip().split()) odds = 0 for a in nums: if a % 2 != 0: odds += a if odds % 2 == 0: print('YES') else: print('NO')
# -*- coding: utf-8 -*- import sys n = sys.stdin.readline().rstrip() nums = (int(i) for i in sys.stdin.readline().rstrip().split()) if sum(nums) % 2 == 0: print('YES') else: print('NO')
p03807
if __name__ == "__main__": n = int(eval(input())) a = list(map(int, input().split())) count = 0 for i in range(n): if a[i] % 2 == 1: count += 1 if count % 2 == 1: print('NO') else: print('YES')
if __name__ == "__main__": n = int(eval(input())) a = list(map(int, input().split())) odd_count = 0 for aa in a: if aa % 2 == 1: odd_count += 1 if odd_count % 2 == 1: print('NO') else: print('YES')
p03807
N=int(eval(input())) L=list(map(int,input().split())) count=0 for i in range (N): if L[i]%2==1: count+=1 if count%2==1: print("NO") else: print("YES")
N=int(eval(input())) L=list(map(int,input().split())) C=0 for i in range(N): if L[i]%2==1: C+=1 if C%2==1: print("NO") else: print("YES")
p03807
N=int(eval(input())) A=list(map(int,input().split())) odd=0 for a in A: if a%2==1: odd+=1 print(("YES" if odd%2==0 else "NO"))
N=int(eval(input())) print(("YES" if sum(map(int,input().split()))%2==0 else "NO"))
p03807
c=int(eval(input())) a=list(map(int,input().split())) b=[i%2 for i in a] print(("YES"if sum(b)%2!=1 or c<2 else"NO"))
c=eval(input()) a=list(map(int,input().split())) b=[i%2 for i in a] print(("YES"if sum(b)%2!=1else"NO"))
p03807
import sys stdin = sys.stdin def li(): return [int(x) for x in stdin.readline().split()] def li_(): return [int(x)-1 for x in stdin.readline().split()] def lf(): return [float(x) for x in stdin.readline().split()] def ls(): return stdin.readline().split() def ns(): return stdin.readline().rstrip() def lc(): return list(ns()) def ni(): return int(ns()) def nf(): return float(ns()) n = ni() a = li() odd = 0 for ai in a: if ai%2 == 1: odd += 1 if odd % 2 == 1: print("NO") else: print("YES")
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()) odd = 0 even = 0 n = ni() a = list(li()) for ai in a: if ai%2: odd += 1 else: even += 1 if odd%2: print("NO") else: print("YES")
p03807
n = int(eval(input())) cou1 = 0 cou2 = 0 lis = list(map(int,input().split())) for i in range(n): if lis[i] % 2 == 1: cou1 += 1 else: cou2 += 1 if cou1 % 2 == 1: print("NO") exit() print("YES")
n = int(eval(input())) lis = list(map(int,input().split())) cou = 0 for i in range(n): if lis[i] % 2 == 1: cou += 1 if cou % 2 == 1: print("NO") else: print("YES")
p03807
N = int(eval(input())) A = list(map(int, input().split())) for i in A: if i%2 == 0: A.remove(i) ans = len(A) if ans%2 == 0: print("YES") else: print("NO")
N = int(eval(input())) A = list(map(int, input().split())) ans = len([a for a in A if a % 2 == 1]) if ans%2 == 0: print("YES") else: print("NO")
p03807
eval(input());print(('YNEOS'[sum(int(i)%2for i in input().split())%2::2]))
eval(input());print(('YNEOS'[sum(map(int,input().split()))%2::2]))
p03807
n = int(eval(input())) A = list(map(int,input().split())) A = [_ % 2 for _ in A] if sum(A) % 2 == 0: print("YES") else: print("NO")
n = int(eval(input())) A = list(map(int,input().split())) if sum(A) % 2 == 0: print("YES") else: print("NO")
p03807
import sys import bisect import collections import fractions import heapq def slove(): input = sys.stdin.readline n = int(input().rstrip('\n')) a = list(map(int, input().rstrip('\n').split())) cnt = 0 for i in range(n): if a[i] % 2 != 0: cnt += 1 if cnt % 2 == 0: print("YES") else: print("NO") if __name__ == '__main__': slove()
import sys def solve(): readline = sys.stdin.buffer.readline mod = 10 ** 9 + 7 n = int(readline()) a = list(map(int, readline().split())) cnt = 0 for v in a: if v % 2 != 0: cnt += 1 print(("YES" if cnt % 2 == 0 else "NO")) if __name__ == '__main__': solve()
p03807
n = int(eval(input())) A = list(map(int, input().split())) cnt = 0 for a in A: if a % 2 != 0: cnt += 1 if cnt % 2 == 0: print('YES') else: print('NO')
n = int(eval(input())) a = list(map(int, input().split())) print(('YES' if sum(a) % 2 == 0 else 'NO'))
p03807
N = int(eval(input())) src = list(map(int,input().split())) odd = 0 for a in src: if a%2: odd += 1 print(('YES' if odd%2 == 0 else 'NO'))
N = int(eval(input())) src = list(map(int,input().split())) odd = len([a for a in src if a%2]) even = N - odd if odd%2: print('NO') else: even += odd//2 print(('NO' if even < 1 else 'YES'))
p03807
n = int(eval(input())) a = list(map(int, input().split())) odd = 0 for i in range(n): if a[i] % 2: odd += 1 odd %= 2 if odd: print("NO") else: print("YES")
n = int(eval(input())) a = list(map(int, input().split())) odd = 0 for i in a: if i % 2: odd += 1 if odd % 2: print("NO") else: print("YES")
p03807
import sys input=sys.stdin.readline eval(input()) A=list(map(int,input().split())) odd_cnt,even_cnt=0,0 for a in A: if a%2: odd_cnt+=1 else: even_cnt+=1 print(('NO' if odd_cnt%2 else 'YES'))
eval(input()) print(('NO' if sum(list(map(int,input().split())))%2 else 'YES'))
p03807
n=int(eval(input())) a=list(map(int,input().split())) even=odd=0 for i in a: if i % 2 == 0: even += 1 else: odd += 1 odd_ans = odd % 2 # even_ans = even//2 + even % 2 + odd//2 if odd_ans==0: print('YES') else: print('NO')
n=int(eval(input())) a=list(map(int,input().split())) even=odd=0 for i in a: if i % 2 == 0: even += 1 else: odd += 1 if odd % 2 ==0: print('YES') else: print('NO')
p03807
n = int(eval(input())) arr = list(map(int, input().split())) odd = 0 for i in range(n): if arr[i] % 2 != 0: odd += 1 if odd % 2 == 0: print('YES') else: print('NO')
n = int(eval(input())) arr = list(map(int, input().split())) odd = 0 for i in range(n): if arr[i] % 2 != 0: odd += 1 print(('YES' if odd % 2 == 0 else 'NO'))
p03807
import sys input = sys.stdin.readline def main(): N = int(eval(input())) A = list(map(int, input().split())) n_odd = 0 for a in A: n_odd += 1 if a % 2 == 1 else 0 if n_odd % 2 == 0: ans = "YES" else: ans = "NO" print(ans) if __name__ == "__main__": main()
import sys input = sys.stdin.readline def main(): N = int(eval(input())) A = list(map(int, input().split())) if sum(A) % 2 == 0: ans = "YES" else: ans = "NO" print(ans) if __name__ == "__main__": main()
p03807
n = int(eval(input())) A = list(map(int, input().split())) e = [] o = [] e_append = e.append o_append = o.append for a in A: if a % 2 == 0: e_append(a) else: o_append(a) if len(o) %2 != 0: print('NO') else: print('YES')
n = int(eval(input())) A = list(map(int, input().split())) o = [a for a in A if a % 2 != 0] if len(o) %2 != 0: print('NO') else: print('YES')
p03807
n=int(eval(input())) al=list(map(int,input().split())) c=0 for a in al: c+=1 if a%2==1 else 0 print(('YES' if c%2==0 else 'NO'))
eval(input()) print(('YES' if sum(map(int,input().split()))%2==0 else 'NO'))
p03807
N = int(eval(input())) A = list(map(int,input().split())) odd_count = 0 for e in A: if e % 2 == 1: odd_count += 1 print(("YES" if odd_count % 2 == 0 else "NO"))
N = int(eval(input())) A = list(map(int,input().split())) odd = 0 for a in A: if a % 2 == 1: odd += 1 if odd % 2 == 0: print("YES") else: print("NO")
p03807
n=int(input()) a=list(map(int,input().split())) even,odd=0,0 for i in a: if i%2==0: even+=1 else: odd+=1 if odd==0: print("YES") elif even==0: print("YES") if odd%2==0 else print("NO") else: if odd==1 and even==1: print("NO") else: print("YES") if odd%2==0 else print("NO")
n=int(eval(input())) a=sum(list(map(int,input().split()))) if a%2==0: print("YES") else: print("NO")
p03807
#!/usr/bin/env python n = int(eval(input())) a = list(map(int, input().split())) cnt = 0 for i in range(n): if a[i]%2 == 1: cnt += 1 if cnt%2 == 0: print('YES') else: print('NO')
#!/usr/bin/env python n = int(eval(input())) a = list(map(int, input().split())) if sum(a)%2 == 0: print('YES') else: print('NO')
p03807