input
stringlengths
20
127k
target
stringlengths
20
119k
problem_id
stringlengths
6
6
X,Y,Z,K=list(map(int,input().split())) A=list(map(int,input().split())) B=list(map(int,input().split())) C=list(map(int,input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) AB=[] append=AB.append for i in range(min(K,X)): for j in range(min(K,Y)): append(A[i]+B[j]) AB.sort(reverse=True) ABC=[] appendd=ABC.append for k in range(min(K,len(AB))): for l in range(min(K,Z)): appendd(AB[k]+C[l]) ABC.sort(reverse=True) for m in range(K): print((ABC[m]))
import sys def main(): input=sys.stdin.readline X,Y,Z,K=list(map(int,input().split())) A=list(map(int,input().split())) B=list(map(int,input().split())) C=list(map(int,input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) AB=[] append=AB.append for i in range(min(K,X)): for j in range(min(K,Y)): append(A[i]+B[j]) AB.sort(reverse=True) ABC=[] appendd=ABC.append for k in range(min(K,len(AB))): for l in range(min(K,Z)): appendd(AB[k]+C[l]) ABC.sort(reverse=True) for m in range(K): print((ABC[m])) if __name__=="__main__": main()
p03078
x, y, z, k = list(map(int, input().split())) k = min(x * y * z, k) a = sorted(list(map(int, input().split())), reverse=True)[:k] b = sorted(list(map(int, input().split())), reverse=True)[:k] c = sorted(list(map(int, input().split())), reverse=True)[:k] def f(a, b): results = [] cnt = 0 for i in a: for j in b: cnt += 1 results.append(i + j) return results ab_results = sorted(f(a, b), reverse=True) results = sorted(f(c, ab_results[:k]), reverse=True) print(("\n".join(map(str, results[:k]))))
x, y, z, k = list(map(int, input().split())) k = min(x * y * z, k) a = sorted(list(map(int, input().split())), reverse=True)[:k] b = sorted(list(map(int, input().split())), reverse=True)[:k] c = sorted(list(map(int, input().split())), reverse=True)[:k] def f(a, b): return [i + j for i in a for j in b] ab_results = sorted(f(a, b), reverse=True) results = sorted(f(c, ab_results[:k]), reverse=True) print(("\n".join(map(str, results[:k]))))
p03078
x,y,z,k = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) ''' 考え方 各リストをソートして、前からk個分のみの要素にする ''' ''' import math cnt_num = math.ceil(pow(k, 1/3)) A = sorted(A,reverse=True)[:cnt_num] B = sorted(B,reverse=True)[:cnt_num] C = sorted(C,reverse=True)[:cnt_num] ''' A = sorted(A,reverse=True)[:k] B = sorted(B,reverse=True)[:k] C = sorted(C,reverse=True)[:k] ans_list = [] for a in A: for b in B: for c in C: ans_list.append(a+b+c) ans_list.sort(reverse=True) for ans in ans_list[:k]: print(ans)
x,y,z,k = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) A = sorted(A,reverse=True)[:k] B = sorted(B,reverse=True)[:k] C = sorted(C,reverse=True)[:k] list_ans = [] for index_a,a in enumerate(A): for index_b,b in enumerate(B): for index_c,c in enumerate(C): if (index_a + 1) * (index_b + 1) * (index_c + 1) > k: break list_ans.append(a+b+c) list_ans.sort(reverse=True) for i in list_ans[:k]: print(i)
p03078
import sys def p(*a): s=" ".join(map(str,a)) #print(s) sys.stderr.write(s+"\n") X,Y,Z,K = list(map(int, input().split())) A = sorted(list( map(int, input().split()) ), reverse=True) # 1 2 3 4 5 ...(ソート付き) B = sorted(list( map(int, input().split()) ), reverse=True) # 1 2 3 4 5 ...(ソート付き) C = sorted(list( map(int, input().split()) ), reverse=True) # 1 2 3 4 5 ...(ソート付き) p(X,Y,Z,K) p(A) p(B) p(C) from itertools import product L = list( product(A,B,C) ) # 上と同じ意味 #p(L) from operator import itemgetter #p( sorted(L, key=lambda x: (x[0]+x[1]+x[2])*(-1)) ) # 0 番目の要素 * 2 番目の要素でソート iCount=0 for l in sorted(L, key=lambda x: (x[0]+x[1]+x[2])*(-1)): a = l[0]+l[1]+l[2] print(a) iCount+=1 if iCount>=K: break
import sys def p(*a): s=" ".join(map(str,a)) #print(s) sys.stderr.write(s+"\n") X,Y,Z,K = list(map(int, input().split())) A = sorted(list( map(int, input().split()) ), reverse=True) # 1 2 3 4 5 ...(ソート付き) B = sorted(list( map(int, input().split()) ), reverse=True) # 1 2 3 4 5 ...(ソート付き) C = sorted(list( map(int, input().split()) ), reverse=True) # 1 2 3 4 5 ...(ソート付き) p(X,Y,Z,K) p(A) p(B) p(C) #ABC=[] #for a in range(X): # for b in range(Y): # if (a+b)>K: break # for c in range(Z): # if (a+b+c)>K: break # ABC.append(A[a]+B[b]+C[c]) # #ABC.sort(reverse=True) AB=[] for a in range(X): for b in range(Y): if (a+b)>K: break AB.append(A[a]+B[b]) AB.sort(reverse=True) p("AB=",AB) ABC=[] for ab in range(len(AB)): if ab>K: break for c in range(Z): if (ab+c)>K: break ABC.append(AB[ab]+C[c]) ABC.sort(reverse=True) p("ABC=",ABC) for k in range(K): print((ABC[k]))
p03078
import sys input = lambda: sys.stdin.readline().rstrip() def solve(): from heapq import heappop, heappush X,Y,Z,K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) sum_list = [] seen_list = set() ans = [] heappush(sum_list, (-(A[0]+B[0]+C[0]), 0, 0, 0)) seen_list.add((0, 0, 0)) while sum_list: s, i, j, k = heappop(sum_list) ans.append(-s) if i+1 < len(A) and (i+1, j, k) not in seen_list: heappush(sum_list, (-(A[i+1]+B[j]+C[k]), i+1, j, k)) seen_list.add((i+1, j, k)) if j+1 < len(B) and (i, j+1, k) not in seen_list: heappush(sum_list, (-(A[i]+B[j+1]+C[k]), i, j+1, k)) seen_list.add((i, j+1, k)) if k+1 < len(C) and (i, j, k+1) not in seen_list: heappush(sum_list, (-(A[i]+B[j]+C[k+1]), i, j, k+1)) seen_list.add((i, j, k+1)) for i in range(0, K): print((ans[i])) if __name__ == "__main__": solve()
import sys input = lambda: sys.stdin.readline().rstrip() def main(): from heapq import heappop, heappush, heapify X,Y,Z,K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) sum_list = [] seen_list = set() ans = [] heappush(sum_list, (-(A[0]+B[0]+C[0]), 0, 0, 0)) seen_list.add((0, 0, 0)) for _ in range(K): s, i, j, k = heappop(sum_list) ans.append(-s) if i+1 < len(A) and (i+1, j, k) not in seen_list: heappush(sum_list, (-(A[i+1]+B[j]+C[k]), i+1, j, k)) seen_list.add((i+1, j, k)) if j+1 < len(B) and (i, j+1, k) not in seen_list: heappush(sum_list, (-(A[i]+B[j+1]+C[k]), i, j+1, k)) seen_list.add((i, j+1, k)) if k+1 < len(C) and (i, j, k+1) not in seen_list: heappush(sum_list, (-(A[i]+B[j]+C[k+1]), i, j, k+1)) seen_list.add((i, j, k+1)) for i in range(0, K): print((ans[i])) if __name__ == "__main__": main()
p03078
(X,Y,Z,K) = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) delicious_list = [] for a in A[:min((1000,len(A)))]: for b in B[:min((1000,len(B)))]: for c in C[:min((1000,len(C)))]: delicious_list.append(a+b+c) delicious_list.sort(reverse=True) for i in range(K): print((delicious_list[i]))
(X,Y,Z,K) = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) delicious_list = [] for i in range(len(A)): for j in range(len(B)): for k in range(len(C)): if i*j*k>=K: continue delicious_list.append(A[i]+B[j]+C[k]) delicious_list.sort(reverse=True) for i in range(K): print((delicious_list[i]))
p03078
import sys input = sys.stdin.readline x, y, z, k = list(map(int, input().split())) a_list = list(map(int, input().split())) b_list = list(map(int, input().split())) c_list = list(map(int, input().split())) a_list.sort(reverse=True) b_list.sort(reverse=True) c_list.sort(reverse=True) tmp_list = [a+b for a in a_list for b in b_list] tmp_list.sort(reverse=True) honest_list = [tmp+c for tmp in tmp_list for c in c_list] honest_list.sort(reverse=True) for h in honest_list[:k]: print(h)
import sys input = sys.stdin.readline x, y, z, k = list(map(int, input().split())) a_list = list(map(int, input().split())) b_list = list(map(int, input().split())) c_list = list(map(int, input().split())) a_list.sort(reverse=True) b_list.sort(reverse=True) c_list.sort(reverse=True) tmp_list = [a+b for a in a_list for b in b_list] tmp_list.sort(reverse=True) honest_list = [tmp+c for tmp in tmp_list[:k] for c in c_list] honest_list.sort(reverse=True) for h in honest_list[:k]: print(h)
p03078
x,y,z,k=list(map(int,input().split())) a=list(map(int,input().split())) b=list(map(int,input().split())) c=list(map(int,input().split())) l=[] for s in a: for t in b: l.append(s+t) l.sort(reverse=True) n=[] for s in l[:k+1]: for t in c: n.append(s+t) n.sort(reverse=True) for i in range(k): print((n[i]))
x,y,z,k=list(map(int,input().split())) a=list(map(int,input().split())) b=list(map(int,input().split())) c=list(map(int,input().split())) a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) l=[] for s in range(x): for t in range(y): for u in range(z): if (s+1)*(t+1)*(u+1)<= k: l.append(a[s]+b[t]+c[u]) else: break l.sort(reverse=True) for i in range(k): print((l[i]))
p03078
from collections import deque, defaultdict import copy import bisect #sys.setrecursionlimit(10 ** 9) import math import heapq import sys def input(): return sys.stdin.readline().strip() X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) kouho = [] all_set = [] heapq.heappush(kouho, [-(A[0] + B[0] + C[0]), 0, 0, 0]) all_set.append([-(A[0] + B[0] + C[0]), 0, 0, 0]) for i in range(K): comb = heapq.heappop(kouho) print((-comb[0])) if comb[1] < X - 1 and not [-(A[comb[1] + 1] + B[comb[2]] + C[comb[3]]), comb[1] + 1, comb[2], comb[3]] in all_set: heapq.heappush(kouho, [-(A[comb[1] + 1] + B[comb[2]] + C[comb[3]]), comb[1] + 1, comb[2], comb[3]]) all_set.append([-(A[comb[1] + 1] + B[comb[2]] + C[comb[3]]), comb[1] + 1, comb[2], comb[3]]) if comb[2] < Y - 1 and not [-(A[comb[1]] + B[comb[2] + 1] + C[comb[3]]), comb[1], comb[2] + 1, comb[3]] in all_set: heapq.heappush(kouho, [-(A[comb[1]] + B[comb[2] + 1] + C[comb[3]]), comb[1], comb[2] + 1, comb[3]]) all_set.append([-(A[comb[1]] + B[comb[2] + 1] + C[comb[3]]), comb[1], comb[2] + 1, comb[3]]) if comb[3] < Z - 1 and not [-(A[comb[1]] + B[comb[2]] + C[comb[3] + 1]), comb[1], comb[2], comb[3] + 1] in all_set: heapq.heappush(kouho, [-(A[comb[1]] + B[comb[2]] + C[comb[3] + 1]), comb[1], comb[2], comb[3] + 1]) all_set.append([-(A[comb[1]] + B[comb[2]] + C[comb[3] + 1]), comb[1], comb[2], comb[3] + 1])
from collections import deque, defaultdict import copy import bisect #sys.setrecursionlimit(10 ** 9) import math import heapq import sys def input(): return sys.stdin.readline().strip() X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) kouho = [] all_set = set() heapq.heappush(kouho, [-(A[0] + B[0] + C[0]), 0, 0, 0]) all_set.add(0) for i in range(K): comb = heapq.heappop(kouho) print((-comb[0])) if comb[1] < X - 1 and not (comb[1] + 1)*Y*Z + comb[2]*Z + comb[3] in all_set: heapq.heappush(kouho, [-(A[comb[1] + 1] + B[comb[2]] + C[comb[3]]), comb[1] + 1, comb[2], comb[3]]) all_set.add((comb[1] + 1)*Y*Z + comb[2]*Z + comb[3]) if comb[2] < Y - 1 and not comb[1]*Y*Z + (comb[2] + 1)*Z + comb[3] in all_set: heapq.heappush(kouho, [-(A[comb[1]] + B[comb[2] + 1] + C[comb[3]]), comb[1], comb[2] + 1, comb[3]]) all_set.add(comb[1]*Y*Z + (comb[2] + 1)*Z + comb[3]) if comb[3] < Z - 1 and not comb[1]*Y*Z + comb[2]*Z + comb[3] + 1 in all_set: heapq.heappush(kouho, [-(A[comb[1]] + B[comb[2]] + C[comb[3] + 1]), comb[1], comb[2], comb[3] + 1]) all_set.add(comb[1]*Y*Z + comb[2]*Z + comb[3] + 1)
p03078
from itertools import product x, y, z, k = list(map(int, input().split())) xs = list(map(int, input().split())) ys = list(map(int, input().split())) zs = list(map(int, input().split())) # xs.sort(reverse=True) # ys.sort(reverse=True) # zs.sort(reverse=True) ans_list = [] for i,a in enumerate(list(product(xs,ys,zs))): ans_list.append(sum(a)) ans_list.sort(reverse=True) for i,ans in enumerate(ans_list): print(ans) if i == k - 1: break
from itertools import product x, y, z, k = list(map(int, input().split())) xs = list(map(int, input().split())) ys = list(map(int, input().split())) zs = list(map(int, input().split())) xy_list = [] for i,xy in enumerate(list(product(xs,ys))): xy_list.append(sum(xy)) xy_list.sort(reverse=True) xy_list = xy_list[:k] ans_list = [] for i,xyz in enumerate(list(product(xy_list,zs))): ans_list.append(sum(xyz)) ans_list.sort(reverse=True) ans_list = ans_list[:k] for ans in ans_list: print(ans)
p03078
X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) AB = list() for i in A: for j in B: AB.append(i+j) AB.sort(reverse=True) ABC = list() for i in AB[:K]: for j in C: ABC.append(i+j) ABC.sort(reverse=True) for i in range(K): print((ABC[i]))
X, Y, Z, K = list(map(int, input().split())) A = sorted(list(map(int, input().split())), reverse=True) B = sorted(list(map(int, input().split())), reverse=True) C = sorted(list(map(int, input().split())), reverse=True) ans = list() for i in range(X): for j in range(Y): if (i+1)*(j+1) > K: break else: for k in range(Z): if (i+1)*(j+1)*(k+1) > K: break else: ans.append(A[i]+B[j]+C[k]) ans.sort(reverse=True) for i in range(K): print((ans[i]))
p03078
x , y ,z , k = list(map(int, input().split())) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) ans = [p+q+r for p in a for q in b for r in c] ans.sort(reverse=True) for i in range(k): print((ans[i]))
x , y ,z , k = list(map(int, input().split())) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) e = [i + j for i in a for j in b] e.sort(reverse=True) e = e[:k] ans = [i + j for i in e for j in c] ans.sort(reverse=True) ans = ans[:k] for i in range(k): print((ans[i]))
p03078
x , y ,z , k = list(map(int, input().split())) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) e = [i + j for i in a for j in b] e.sort(reverse=True) e = e[:k] ans = [i + j for i in e for j in c] ans.sort(reverse=True) for i in range(k): print((ans[i]))
x , y ,z , k = list(map(int, input().split())) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) e = [i + j for i in a[:k] for j in b[:k]] e.sort(reverse=True) e = e[:k] ans = [i + j for i in e for j in c[:k]] ans.sort(reverse=True) for i in range(k): print((ans[i]))
p03078
x, y, z, k = map(int,input().split()) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) ''' 必ず3つからそれぞれ1つずつ取らないといけないので、a,bの組み合わせの大きい順 とa,b,cの組の大きい順で見たときの(a,b)の順は一致している a,bの組み合わせのうち上からk番目以降は考える必要がない ''' ab = [] for i in range(x): for j in range(y): ab.append(a[i] + b[j]) ab.sort(reverse=True) ab = ab[:k] rec = [] for i in range(min(x*y, k)): for j in range(z): rec.append(ab[i] + c[j]) rec.sort(reverse=True) rec = rec[:k] print(*rec, sep='\n')
x, y, z, k = map(int,input().split()) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) ab = [] for i in range(x): for j in range(y): ab.append(a[i] + b[j]) ab.sort(reverse=True) ab = ab[:k] rec = [] for i in range(min(x*y, k)): for j in range(z): rec.append(ab[i] + c[j]) rec.sort(reverse=True) rec = rec[:k] print(*rec, sep='\n')
p03078
X,Y,Z,K = (int(i) for i in input().split()) A = [int(i) for i in input().split()] B = [int(i) for i in input().split()] C = [int(i) for i in input().split()] A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) ans = [] for a in A: for b in B: for c in C: ans.append(a+b+c) ans.sort(reverse=True) for i in range(K): print((ans[i]))
X,Y,Z,K = (int(i) for i in input().split()) A = [int(i) for i in input().split()] B = [int(i) for i in input().split()] C = [int(i) for i in input().split()] A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) ans = [] b=0 c=0 for a in range(len(A)): for b in range(len(B)): for c in range(len(C)): if (a+1)*(b+1)*(c+1)<=K: ans.append(A[a]+B[b]+C[c]) else: break ans.sort(reverse=True) for i in range(K): print((ans[i]))
p03078
x,y,z,k=list(map(int,input().split())) list_a=list(map(int,input().split())) list_b=list(map(int,input().split())) list_c=list(map(int,input().split())) list_a.sort(reverse=True) list_b.sort(reverse=True) list_c.sort(reverse=True) dict_p={} dict_p[(0,0,0)]=list_a[0]+list_b[0]+list_c[0] pop_list=[] for i in range(0,k): Max=max(dict_p.values()) print(Max) for j in dict_p: if dict_p[j]==Max: now=j dict_p.pop(now) pop_list.append(now) break x_t=1 y_t=1 z_t=1 for i in pop_list: if (now[0]+1,now[1],now[2])==i: x_t=0 if (now[0],now[1]+1,now[2])==i: y_t=0 if (now[0],now[1],now[2]+1)==i: z_t=0 if now[0]+1<x: if x_t==1: dict_p[(now[0]+1,now[1],now[2])]=list_a[now[0]+1]+list_b[now[1]]+list_c[now[2]] if now[1]+1<y: if y_t==1: dict_p[(now[0],now[1]+1,now[2])]=list_a[now[0]]+list_b[now[1]+1]+list_c[now[2]] if now[2]+1<z: if z_t==1: dict_p[(now[0],now[1],now[2]+1)]=list_a[now[0]]+list_b[now[1]]+list_c[now[2]+1]
x,y,z,k=list(map(int,input().split())) list_a=list(map(int,input().split())) list_b=list(map(int,input().split())) list_c=list(map(int,input().split())) list_a.sort(reverse=True) list_b.sort(reverse=True) list_c.sort(reverse=True) dict_p={} dict_p[(0,0,0)]=list_a[0]+list_b[0]+list_c[0] pop_list=[] for i in range(0,k): Max=max(dict_p.values()) print(Max) for j in dict_p: if dict_p[j]==Max: now=j dict_p.pop(now) pop_list.append(now) break if now[0]+1<x: if not (now[0]+1,now[1],now[2]) in pop_list: dict_p[(now[0]+1,now[1],now[2])]=list_a[now[0]+1]+list_b[now[1]]+list_c[now[2]] if now[1]+1<y: if not (now[0],now[1]+1,now[2]) in pop_list: dict_p[(now[0],now[1]+1,now[2])]=list_a[now[0]]+list_b[now[1]+1]+list_c[now[2]] if now[2]+1<z: if not (now[0],now[1],now[2]+1) in pop_list: dict_p[(now[0],now[1],now[2]+1)]=list_a[now[0]]+list_b[now[1]]+list_c[now[2]+1]
p03078
from itertools import product X,Y,Z,K = map(int,input().split()) A = sorted(list(map(int,input().split())),reverse=True) B = sorted(list(map(int,input().split())),reverse=True) C = sorted(list(map(int,input().split())),reverse=True) L_a = [] L_b = [] L_c = [] for i in range(X) : L_a.append(A[0] - A[i]) for i in range(Y) : L_b.append(B[0] - B[i]) for i in range(Z) : L_c.append(C[0] - C[i]) L = [] P = list(product(range(max(X,Y,Z)), repeat=3)) su = A[0]+B[0]+C[0] for i in range(len(P)) : l = su - (L_a[P[i][0]] + L_b[P[i][1]] + L_c[P[i][2]]) L.append(l) L = sorted(L,reverse=True) L = L[:K] print(*L,sep="\n")
X,Y,Z,K = map(int,input().split()) A = sorted(list(map(int,input().split())))[::-1] B = sorted(list(map(int,input().split())))[::-1] C = sorted(list(map(int,input().split())))[::-1] L = [] for i in range(X) : for j in range(Y) : L.append(A[i]+B[j]) L = sorted(L)[::-1][:K] L2 = [] for i in range(len(L)) : for j in range(Z) : L2.append(L[i]+C[j]) L2 = sorted(L2)[::-1][:K] print(*L2,sep="\n")
p03078
from heapq import heappush, heappushpop def main(): x, y, z, k = list(map(int, input().split())) aa = sorted(map(int, input().split()), reverse=True) bb = sorted(map(int, input().split()), reverse=True) cc = sorted(map(int, input().split()), reverse=True) heap = [] for a in aa: if len(heap) == k and a + bb[0] + cc[0] < heap[0]: break for b in bb: if len(heap) == k and a + b + cc[0] < heap[0]: break for c in cc: v = a + b + c if len(heap) < k: heappush(heap, v) continue if v < heap[0]: break heappushpop(heap, v) for v in sorted(heap, reverse=True): print(v) if __name__ == "__main__": main()
from heapq import heappop, heappush def main(): x, y, z, k = list(map(int, input().split())) aa = sorted(map(int, input().split())) bb = sorted(map(int, input().split())) cc = sorted(map(int, input().split())) v = aa[-1] + bb[-1] + cc[-1] t = (len(aa) - 1, len(bb) - 1, len(cc) - 1) q = [(-v, t)] vs = [] ts = set() while len(vs) < k: nv, t = heappop(q) if t in ts: continue vs.append(-nv) ts.add(t) if t[0] > 0: heappush(q, (-(aa[t[0] - 1] + bb[t[1]] + cc[t[2]]), (t[0] - 1, t[1], t[2]))) if t[1] > 0: heappush(q, (-(aa[t[0]] + bb[t[1] - 1] + cc[t[2]]), (t[0], t[1] - 1, t[2]))) if t[2] > 0: heappush(q, (-(aa[t[0]] + bb[t[1]] + cc[t[2] - 1]), (t[0], t[1], t[2] - 1))) for v in vs: print(v) if __name__ == "__main__": main()
p03078
X,Y,Z,K = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) ans = [] for i in range(X): for j in range(Y): for k in range(Z): if (i+1)*(j+1)*(k+1) <= K: ans.append(A[i]+B[j]+C[k]) ans.sort(reverse=True) for i in range(K): print((ans[i]))
X,Y,Z,K = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) ans = [] for i in range(X): for j in range(Y): for k in range(Z): if (i+1)*(j+1)*(k+1) <= K: ans.append(A[i]+B[j]+C[k]) else: break ans.sort(reverse=True) for i in range(K): print((ans[i]))
p03078
x, y, z, k = [int(i) for i in input().split()] p = [int(a) for a in input().split()] q = [int(b) for b in input().split()] r = [int(c) for c in input().split()] p = sorted(p, reverse=True) q = sorted(q, reverse=True) r = sorted(r, reverse=True) pqr = [] for a in range(len(p)): if a+1 > k: continue for b in range(len(q)): if b+1 > k: continue elif (a+1)*(b+1) > k: continue for c in range(len(r)): if c+1 > k: continue elif (a+1)*(c+1) > k: continue elif (b+1)*(c+1) > k: continue elif (a+1)*(b+1)*(c+1) > k: continue pqr.append(p[a] + q[b] + r[c]) pqr = sorted(pqr, reverse=True) for i in range(k): print((pqr[i]))
X, Y, Z, K = [int(x) for x in input().split()] A = [int(a) for a in input().split()] B = [int(b) for b in input().split()] C = [int(c) for c in input().split()] A = sorted(A, reverse=True) B = sorted(B, reverse=True) C = sorted(C, reverse=True) ABC = [] for a in range(len(A)): if a+1 > K: break for b in range(len(B)): if b+1 > K: break elif (a+1)*(b+1) > K: break for c in range(len(C)): if c+1 > K: break elif (a+1)*(c+1) > K: break elif (b+1)*(c+1) > K: break elif (a+1)*(b+1)*(c+1) > K: break ABC.append(A[a] + B[b] + C[c]) ABC = sorted(ABC, reverse=True) for i in range(K): print((ABC[i]))
p03078
X, Y, Z, K = [int(x) for x in input().split()] A = [int(a) for a in input().split()] B = [int(b) for b in input().split()] C = [int(c) for c in input().split()] A = sorted(A, reverse=True) B = sorted(B, reverse=True) C = sorted(C, reverse=True) ABC = [] for a in range(len(A)): if a+1 > K: break for b in range(len(B)): if b+1 > K: break elif (a+1)*(b+1) > K: break for c in range(len(C)): if c+1 > K: break elif (a+1)*(c+1) > K: break elif (b+1)*(c+1) > K: break elif (a+1)*(b+1)*(c+1) > K: break ABC.append(A[a] + B[b] + C[c]) ABC = sorted(ABC, reverse=True) for i in range(K): print((ABC[i]))
X, Y, Z, K = [int(x) for x in input().split()] A = [int(a) for a in input().split()] B = [int(b) for b in input().split()] C = [int(c) for c in input().split()] A = sorted(A, reverse=True) B = sorted(B, reverse=True) C = sorted(C, reverse=True) ABC = [] for a in range(len(A)): if a+1 > K: break for b in range(len(B)): if b+1 > K: break elif (a+1)*(b+1) > K: break for c in range(len(C)): if (a+1)*(c+1) > K: break elif (b+1)*(c+1) > K: break elif (a+1)*(b+1)*(c+1) > K: break ABC.append(A[a] + B[b] + C[c]) ABC = sorted(ABC, reverse=True) for i in range(K): print((ABC[i]))
p03078
X, Y, Z, K = [int(x) for x in input().split()] A = [int(a) for a in input().split()] B = [int(b) for b in input().split()] C = [int(c) for c in input().split()] A = sorted(A, reverse=True) B = sorted(B, reverse=True) C = sorted(C, reverse=True) ABC = [] for a in range(len(A)): if a+1 > K: break for b in range(len(B)): if b+1 > K: break elif (a+1)*(b+1) > K: break for c in range(len(C)): if (a+1)*(c+1) > K: break elif (b+1)*(c+1) > K: break elif (a+1)*(b+1)*(c+1) > K: break ABC.append(A[a] + B[b] + C[c]) ABC = sorted(ABC, reverse=True) for i in range(K): print((ABC[i]))
X, Y, Z, K = [int(x) for x in input().split()] A = [int(a) for a in input().split()] B = [int(b) for b in input().split()] C = [int(c) for c in input().split()] A = sorted(A, reverse=True) B = sorted(B, reverse=True) C = sorted(C, reverse=True) ABC = [] for a in range(len(A)): if a+1 > K: break for b in range(len(B)): if (a+1)*(b+1) > K: break for c in range(len(C)): if (a+1)*(c+1) > K: break elif (b+1)*(c+1) > K: break elif (a+1)*(b+1)*(c+1) > K: break ABC.append(A[a] + B[b] + C[c]) ABC = sorted(ABC, reverse=True) for i in range(K): print((ABC[i]))
p03078
X, Y, Z, K = [int(x) for x in input().split()] A = [int(a) for a in input().split()] B = [int(b) for b in input().split()] C = [int(c) for c in input().split()] A = sorted(A, reverse=True) B = sorted(B, reverse=True) C = sorted(C, reverse=True) ABC = [] for a in range(len(A)): for b in range(len(B)): if (a+1)*(b+1) > K: break for c in range(len(C)): if (a+1)*(c+1) > K: break elif (b+1)*(c+1) > K: break elif (a+1)*(b+1)*(c+1) > K: break ABC.append(A[a] + B[b] + C[c]) ABC = sorted(ABC, reverse=True) for i in range(K): print((ABC[i]))
X, Y, Z, K = [int(x) for x in input().split()] A = [int(a) for a in input().split()] B = [int(b) for b in input().split()] C = [int(c) for c in input().split()] A = sorted(A, reverse=True) B = sorted(B, reverse=True) C = sorted(C, reverse=True) ABC = [] for a in range(len(A)): for b in range(len(B)): if (a+1)*(b+1) > K: break for c in range(len(C)): if (a+1)*(b+1)*(c+1) > K: break ABC.append(A[a] + B[b] + C[c]) ABC = sorted(ABC, reverse=True) for i in range(K): print((ABC[i]))
p03078
import sys import math sys.setrecursionlimit(20000000) input = sys.stdin.readline x,y,z,p = list(map(int,input().split())) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) a.sort() b.sort() c.sort() """ if x*y*z <= 3*10**6: abc = [] for i in range(x): for j in range(y): for k in range(z): abc.append(a[i]+b[j]+c[k]) abc.sort() abc = abc[::-1] for i in range(p): print(abc[i]) exit() """ ab = [] for i in range(x): for j in range(y): ab.append(a[i]+b[j]) ab.sort() c = c[::-1] ab = ab[::-1] ab.append(-2**62) ans = [] miru = [0]*z for i in range(z): if i + 1 == z: d = -2**60 else: d = c[i+1]+ab[0] for j in range(i+1): flag = 0 while ab[miru[j]] + c[j] >= d and (len(ans)<= p or ab[miru[j]] + c[j] >= ans[0]): ans.append(ab[miru[j]] + c[j]) miru[j]+=1 flag = 1 if flag and len(ans) >p: ans.sort() ans.sort() ans = ans[::-1] for i in range(p): print((ans[i]))
import sys import math sys.setrecursionlimit(20000000) input = sys.stdin.readline x,y,z,p = list(map(int,input().split())) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) a.sort() b.sort() c.sort() """ if x*y*z <= 3*10**6: abc = [] for i in range(x): for j in range(y): for k in range(z): abc.append(a[i]+b[j]+c[k]) abc.sort() abc = abc[::-1] for i in range(p): print(abc[i]) exit() """ ab = [] for i in range(x): for j in range(y): ab.append(a[i]+b[j]) ab.sort() c = c[::-1] ab = ab[::-1] ab.append(-2**62) ans = [] miru = [0]*z for i in range(z): if i + 1 == z: d = -2**60 else: d = c[i+1]+ab[0] for j in range(i+1): flag = 0 while ab[miru[j]] + c[j] >= d and (len(ans)<= p or ab[miru[j]] + c[j] >= ans[0]): ans.append(ab[miru[j]] + c[j]) miru[j]+=1 flag = 1 if flag and len(ans) <=p+1: ans.sort() ans.sort() ans = ans[::-1] for i in range(p): print((ans[i]))
p03078
def main(): import sys input = sys.stdin.readline X,Y,Z,K = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) AB = [a+b for a in A for b in B] res = [c+ab for c in C for ab in AB] res.sort(reverse = True) print(("\n".join(list(map(str,res[:K]))))) if __name__ == "__main__": main()
def main(): import sys input = sys.stdin.readline X,Y,Z,K = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) A.sort(reverse = True) B.sort(reverse = True) C.sort(reverse = True) AB = [a+b for a in A for b in B] AB.sort(reverse = True) res = [c+ab for ab in AB[:min(K, len(AB))] for c in C] res.sort(reverse = True) print(("\n".join(list(map(str,res[:K]))))) if __name__ == "__main__": main()
p03078
def main(): import sys input = sys.stdin.readline X, Y, Z, K = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) A.sort(reverse = True) B.sort(reverse = True) C.sort(reverse = True) res = [] for i in range(X): for j in range(Y): for k in range(Z): if (i+1)*(j+1)*(k+1) <= K: res.append(A[i]+B[j]+C[k]) res.sort(reverse = True) for r in res[:K]: print(r) if __name__ == "__main__": main()
def main(): import sys input = sys.stdin.readline X, Y, Z, K = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) A.sort(reverse = True) B.sort(reverse = True) C.sort(reverse = True) res = [] for i in range(X): for j in range(Y): for k in range(Z): if (i+1)*(j+1)*(k+1) <= K: res.append(A[i]+B[j]+C[k]) else: break res.sort(reverse = True) for r in res[:K]: print(r) if __name__ == "__main__": main()
p03078
x,y,z,K = list(map(int,input().split())) ans = 0 a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) ans = [] for i in range(x): for j in range(y): for k in range(z): if (i+1)*(j+1)*(k+1)<=K: ans.append(a[i]+b[j]+c[k]) ans.sort(reverse=True) for i in range(K): print((ans[i]))
x,y,z,K = list(map(int,input().split())) ans = 0 a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) ans = [] for i in range(x): for j in range(min(K//(i+1),y)): for k in range(min(z,K//((i+1)*(j+1)))): if (i+1)*(j+1)*(k+1)<=K: ans.append(a[i]+b[j]+c[k]) ans.sort(reverse=True) for i in range(K): print((ans[i]))
p03078
X,Y,Z,K = list(map(int, input().split())) A_list = list(map(int, input().split())) B_list = list(map(int, input().split())) C_list = list(map(int, input().split())) taste_list = [] for i in range(X): for j in range(Y): for k in range(Z): taste_list.append(A_list[i]+B_list[j]+C_list[k]) taste_list.sort(reverse=True) for i in range(K): print((taste_list[i]))
X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) AB = [] for a in A: for b in B: AB.append(a+b) AB.sort(reverse=True) AB = AB[:K] ABC = [] for ab in AB: for c in C: ABC.append(ab+c) ABC.sort(reverse=True) for i in range(K): print((ABC[i]))
p03078
from collections import defaultdict inpl = lambda: list(map(int,input().split())) X, Y, Z, K = inpl() A = [ sorted(inpl(), key=lambda x: -x) for _ in range(3) ] N = [X, Y, Z] mem = defaultdict(int) ans = sum([A[i][0] for i in range(3)]) mem[(0,0,0)] = 1 cand = [(ans,0,0,0)] for i in range(K): cand.sort() c = cand[-1] print((c[0])) n = [c[1],c[2],c[3]] cand.pop(-1) for p in range(3): if n[p] < N[p]-1: n[p] += 1 if mem[(n[0],n[1],n[2])] == 0: mem[(n[0],n[1],n[2])] = 1 cand.append((sum([A[j][n[j]] for j in range(3)]),n[0],n[1],n[2])) n[p] -= 1
from collections import defaultdict import heapq inpl = lambda: list(map(int,input().split())) X, Y, Z, K = inpl() A = [ sorted(inpl(), reverse=True) for _ in range(3) ] N = [X, Y, Z] mem = defaultdict(int) score = sum([A[i][0] for i in range(3)]) mem[(0,0,0)] = 1 candidates = [] heapq.heappush(candidates, (-score,(0,0,0))) for i in range(K): c = heapq.heappop(candidates) print((-c[0])) n = list(c[1]) for p in range(3): if n[p] < N[p]-1: n[p] += 1 if mem[tuple(n)] == 0: mem[tuple(n)] = 1 score = sum([A[j][n[j]] for j in range(3)]) heapq.heappush(candidates, (-score,tuple(n))) n[p] -= 1
p03078
import itertools x, y, z, k = list(map(int, input().split())) al = list(map(int,input().split())) bl = list(map(int,input().split())) cl = list(map(int,input().split())) sum_list = [] for i in list(itertools.product(al, bl, cl)): sum_list.append(sum(i)) sum_list.sort(reverse=True) for i in sum_list[:k]: print(i)
import itertools x, y, z, k = list(map(int, input().split())) al = list(map(int,input().split())) bl = list(map(int,input().split())) cl = list(map(int,input().split())) sum_list = [sum(i) for i in itertools.product(al, bl, cl)] sum_list.sort(reverse=True) for i in sum_list[:k]: print(i)
p03078
k = list(map(int,input().split())) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) ab = sorted(list(ax+bx for ax in a for bx in b), reverse=True)[:k[3]] abc = sorted(list(aby+cy for aby in ab for cy in c), reverse=True)[:k[3]] for i in abc: print(i)
k = list(map(int,input().split())) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) A = sorted(a, reverse=True)[:k[3]] B = sorted(b, reverse=True)[:k[3]] C = sorted(c, reverse=True)[:k[3]] ab = sorted(list(ax+bx for ax in A for bx in B), reverse=True)[:k[3]] abc = sorted(list(aby+cy for aby in ab for cy in C), reverse=True)[:k[3]] for i in abc: print(i)
p03078
x,y,z,k=list(map(int,input().split())) a=list(map(int,input().split())) b=list(map(int,input().split())) c=list(map(int,input().split())) a.sort(key=lambda x:-x) b.sort(key=lambda x:-x) c.sort(key=lambda x:-x) sumAB=[0 for _ in range(x*y)] index=0 imax=min(k,x) jmax=min(k,y) for i in range(imax): for j in range(jmax): sumAB[index]=a[i]+b[j] index+=1 sumAB.sort(key=lambda x:-x) beauty=[0 for _ in range(k*k)] index=0 imax=min(k,x*y) jmax=min(k,z) for i in range(imax): for j in range(jmax): beauty[index]=sumAB[i]+c[j] index+=1 beauty.sort(key=lambda x:-x) for i in range(k): print((beauty[i]))
x,y,z,k=list(map(int,input().split())) a=list(map(int,input().split())) b=list(map(int,input().split())) c=list(map(int,input().split())) a.sort(key=lambda x:-x) b.sort(key=lambda x:-x) c.sort(key=lambda x:-x) beauty=[] index=0 for i in range(x): for j in range(y): for l in range(z): if (i+1)*(j+1)*(l+1)<=k: beauty.append(a[i]+b[j]+c[l]) else: break beauty.sort(key=lambda x:-x) for i in range(k): print((beauty[i]))
p03078
X,Y,Z,K = list(map(int, input().split())) A = sorted(list(map(int, input().split())))[:K] B = sorted(list(map(int, input().split())))[:K] C = sorted(list(map(int, input().split())))[:K] ab = sorted(list(a+b for a in A for b in B), reverse = True)[:K] abc = sorted(list(ab+c for ab in ab for c in C), reverse = True)[:K] for i in abc : print(i)
X,Y,Z,K = list(map(int, input().split())) A = sorted(list(map(int, input().split()))[:K]) B = sorted(list(map(int, input().split()))[:K]) C = sorted(list(map(int, input().split()))[:K]) ab = sorted(list(a+b for a in A for b in B), reverse = True)[:K] abc = sorted(list(ab+c for ab in ab for c in C), reverse = True)[:K] for i in abc : print(i)
p03078
def main(): x,y,z,k = [int(i) for i in input().split()] a = [int(i) for i in input().split()] b = [int(i) for i in input().split()] c = [int(i) for i in input().split()] a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) ans = [] for i in range(x): if i > k: break for j in range(y): if i * j > k: break for m in range(z): if i * j * m > k: break ans.append(a[i]+b[j]+c[m]) ans.sort(reverse=True) for i in range(k): print((ans[i])) main()
x,y,z,k = [int(i) for i in input().split()] a = [int(i) for i in input().split()] b = [int(i) for i in input().split()] c = [int(i) for i in input().split()] a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) ans=[] for i in range(x): if i > k: break for j in range(y): if i*j > k: break for l in range(z): if i*j*l > k: break ans.append(a[i]+b[j]+c[l]) ans.sort(reverse=True) for i in range(k): print((ans[i]))
p03078
X,Y,Z,K=[int(s) for s in input().split()] xls=sorted([int(s) for s in input().split()],reverse=True) yls=sorted([int(s) for s in input().split()],reverse=True) zls=sorted([int(s) for s in input().split()],reverse=True) xyls=[] for x in xls[:K]: for y in yls[:K]: xyls.append(x+y) xyls=sorted(xyls,reverse=True) cake=[] for xy in xyls[:K]: for z in zls[:K]: cake.append(xy+z) cake=sorted(cake,reverse=True) for i in range(K): print((cake[i]))
X,Y,Z,K=[int(s) for s in input().split()] xls=sorted([int(s) for s in input().split()],reverse=True) yls=sorted([int(s) for s in input().split()],reverse=True) zls=sorted([int(s) for s in input().split()],reverse=True) cake=[] for a in range(X): for b in range(Y): ab=(a+1)*(b+1) for c in range(Z): if ab*(c+1)>K: break cake.append(xls[a]+yls[b]+zls[c]) if ab>K: break cake=sorted(cake,reverse=True) for i in range(K): print((cake[i]))
p03078
import sys from bisect import bisect_left,bisect_right,insort input = sys.stdin.readline def main(): x,y,z,K=list(map(int,input().split())) a=sorted(list(map(int,input().split()))) b=sorted(list(map(int,input().split()))) c=sorted(list(map(int,input().split()))) l,r=a[0]+b[0]+c[0],a[-1]+b[-1]+c[-1] while l+1<r: ans=0 m=(l+r)//2 for i in range(x-1,-1,-1): if a[i]>=m: ans+=y*z continue for j in range(y-1,-1,-1): if a[i]+b[j]>=m: ans+=z continue for k in range(z-1,-1,-1): if a[i]+b[j]+c[k]>=m: ans+=1 continue else: break if ans>=K: l=m else: r=m s=[0] for i in range(x-1,-1,-1): for j in range(y-1,-1,-1): for k in range(z-1,-1,-1): if a[i]+b[j]+c[k]>=l: s.append(a[i]+b[j]+c[k]) continue else: break s.sort() for i in range(len(s)-1,0,-1): print((s[i])) if __name__ == '__main__': main()
x, y, z, k = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) AB = [a + b for a in A for b in B] AB.sort(reverse=True) AB = AB[:k] ABC = [ab + c for ab in AB for c in C] ABC.sort(reverse=True) ABC = ABC[:k] print(('\n'.join(map(str, ABC))))
p03078
import itertools X, Y, Z, K = (int(i) for i in input().split()) A = [int(i) for i in input().split()] B = [int(i) for i in input().split()] C = [int(i) for i in input().split()] A = sorted(A)[::-1][:K] B = sorted(B)[::-1][:K] C = sorted(C)[::-1][:K] T = [A, B] score = [] for cand in itertools.product(*T): score.append(sum(cand)) T = [sorted(score)[::-1][:K], C] res = [] for cand in itertools.product(*T): res.append(sum(cand)) res = sorted(res)[::-1][:K] for i in range(K): print((res[i]))
import itertools X, Y, Z, K = (int(i) for i in input().split()) A = [int(i) for i in input().split()] B = [int(i) for i in input().split()] C = [int(i) for i in input().split()] A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) D = [a+b for a,b in itertools.product(A[:K], B[:K])] D.sort(reverse=True) E = [c+d for c,d in itertools.product(C[:K], D[:K])] E.sort(reverse=True) for i in range(K): print((E[i]))
p03078
X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) L = [] for i in range(len(A)): for j in range(len(B)): L.append(A[i] + B[j]) L.sort(reverse=True) ans_list = [0] * (10000000) for i in range(min(K,len(L))): for j in range(len(C)): ans_list.append(L[i] + C[j]) ans_list.sort(reverse=True) for i in range(K): print((ans_list[i]))
#%% x, y, z, k = list(map(int, input().split())) a = list(map(int, input().split())) b = list(map(int, input().split())) c = list(map(int, input().split())) a.sort() b.sort() c.sort() bc = [0] * (y * z) q = 0 for i in range(y): for j in range(z): bc[q] = b[i] + c[j] q += 1 bc.sort(reverse=True) r = len(bc) bc = bc[:min(k, r)] abc = [0] * (x * min(k, r)) q = 0 for i in range(min(k, r)): for j in range(x): abc[q] = bc[i] + a[j] q += 1 abc.sort(reverse=True) for i in range(min(k, x*y*z)): print((abc[i]))
p03078
import heapq X,Y,Z,K=[int(i) for i in input().split(" ")] A=[int(i) for i in input().split(" ")] B=[int(i) for i in input().split(" ")] C=[int(i) for i in input().split(" ")] AB=[] for a in A: for b in B: AB.append(a+b) AB=heapq.nlargest(K,AB) ABC=[] for ab in AB: for c in C: ABC.append(ab+c) for cake in heapq.nlargest(K,ABC): print(cake)
X,Y,Z,K=[int(i) for i in input().split(" ")] A=[int(i) for i in input().split(" ")] B=[int(i) for i in input().split(" ")] C=[int(i) for i in input().split(" ")] AB=[] A=sorted(A,reverse=True)[:K:] B=sorted(B,reverse=True)[:K:] C=sorted(C,reverse=True)[:K:] for a in A: for b in B: AB.append(a+b) AB=sorted(AB,reverse=True)[:K:] ABC=[] for ab in AB: for c in C: ABC.append(ab+c) ABC=sorted(ABC,reverse=True)[:K:] for abc in ABC: print(abc)
p03078
x, y, z, k = map(int, input().split()) a = list(map(int, input().split())) b = list(map(int, input().split())) c = list(map(int, input().split())) l = [] for i in a: for j in b: l.append(i + j) c.sort(reverse=True) l.sort(reverse=True) l2 = [] for i in c: for j in l: l2.append(i + j) l2.sort(reverse=True) print(*l2[:k], sep="\n")
x, y, z, k = map(int, input().split()) a = list(map(int, input().split())) b = list(map(int, input().split())) c = list(map(int, input().split())) l = [] for i in a: for j in b: l.append(i + j) c.sort(reverse=True) l.sort(reverse=True) l = l[:k] l2 = [] for i in c: for j in l: l2.append(i + j) l2.sort(reverse=True) print(*l2[:k], sep="\n")
p03078
X,Y,Z,K = [int(x) for x in input().split()] A = [int(x) for x in input().split()] B = [int(x) for x in input().split()] C = [int(x) for x in input().split()] A.sort() B.sort() C.sort() A.reverse() B.reverse() C.reverse() li=[] inf = 10**11 for i in range(X): for j in range(Y): if((i+1)*(j+1)>K): break for k in range(Z): if((i+1)*(j+1)*(k+1)<=K): li.append(A[i]+B[j]+C[k]) li.sort() li.reverse() for i in li[:K]: print(i)
X,Y,Z,K = [int(x) for x in input().split()] A = [int(x) for x in input().split()] B = [int(x) for x in input().split()] C = [int(x) for x in input().split()] A.sort() B.sort() C.sort() A.reverse() B.reverse() C.reverse() li=[] for i in range(X): for j in range(Y): if((i+1)*(j+1)>K): break for k in range(Z): if((i+1)*(j+1)*(k+1)<=K): li.append(A[i]+B[j]+C[k]) li.sort() li.reverse() for i in li[:K]: print(i)
p03078
from heapq import heapify,heappop,heappush X,Y,Z,K=list(map(int,input().split())) A=sorted(map(int,input().split()),reverse=True) B=sorted(map(int,input().split()),reverse=True) C=sorted(map(int,input().split()),reverse=True) que=[[-(A[0]+B[0]+C[0]),0,0,0]];heapify(que) Count=[[[0]*(Z+1) for i in range(Y+1)] for j in range(X+1)] for i in range(K): p=heappop(que) print((-p[0])) if p[1]<X-1 and Count[p[1]+1][p[2]][p[3]]==0: heappush(que,[-sum([A[p[1]+1],B[p[2]],C[p[3]]]),p[1]+1,p[2],p[3]]) Count[p[1]+1][p[2]][p[3]]+=1 if p[2]<Y-1 and Count[p[1]][p[2]+1][p[3]]==0: heappush(que,[-sum([A[p[1]],B[p[2]+1],C[p[3]]]),p[1],p[2]+1,p[3]]) Count[p[1]][p[2]+1][p[3]]+=1 if p[3]<Z-1 and Count[p[1]][p[2]][p[3]+1]==0: heappush(que,[-sum([A[p[1]],B[p[2]],C[p[3]+1]]),p[1],p[2],p[3]+1]) Count[p[1]][p[2]][p[3]+1]+=1
from heapq import heapify,heappop,heappush X,Y,Z,K=list(map(int,input().split())) A=sorted(map(int,input().split()),reverse=True) B=sorted(map(int,input().split()),reverse=True) C=sorted(map(int,input().split()),reverse=True) que=[[-(A[0]+B[0]+C[0]),0,0,0]];heapify(que) s=set() for i in range(K): p=heappop(que) print((-p[0])) if p[1]<X-1 and not (p[1]+1,p[2],p[3]) in s: heappush(que,[-sum([A[p[1]+1],B[p[2]],C[p[3]]]),p[1]+1,p[2],p[3]]) s.add((p[1]+1,p[2],p[3])) if p[2]<Y-1 and not (p[1],p[2]+1,p[3]) in s: heappush(que,[-sum([A[p[1]],B[p[2]+1],C[p[3]]]),p[1],p[2]+1,p[3]]) s.add((p[1],p[2]+1,p[3])) if p[3]<Z-1 and not (p[1],p[2],p[3]+1) in s: heappush(que,[-sum([A[p[1]],B[p[2]],C[p[3]+1]]),p[1],p[2],p[3]+1]) s.add((p[1],p[2],p[3]+1))
p03078
from itertools import groupby from operator import itemgetter x,y,z,k = (int(x) for x in input().split()) a = [int(x) for x in input().split()] b = [int(x) for x in input().split()] c = [int(x) for x in input().split()] # key, group ga0 = [{'val':key, 'cnt':len(list(group))} for key, group in groupby(a)] ga = list(reversed(sorted(ga0, key=itemgetter('val')))) gb = list(reversed(sorted([{'val':key, 'cnt':len(list(group))} for key, group in groupby(b)], key=itemgetter('val')))) gc = list(reversed(sorted([{'val':key, 'cnt':len(list(group))} for key, group in groupby(c)], key=itemgetter('val')))) lga, lgb = len(ga), len(gb) ia,ib = 0,0 ca,cb = ga[0]['cnt'],gb[0]['cnt'] while ca*cb < k: if ia == lga-1 and ib == lgb-1: break elif ia == lga-1: ib += 1 cb += gb[ib]['cnt'] elif ib == lgb-1: ia += 1 ca += ga[ia]['cnt'] elif ga[ia+1]['val'] + gb[ib]['val'] >= ga[ia]['val'] + gb[ib+1]['val']: ia += 1 ca += ga[ia]['cnt'] else: ib += 1 cb += gb[ib]['cnt'] d = [] for va in ga: for vb in gb: d.append((va['val']+vb['val'],va['cnt']*vb['cnt'])) gd0 = [{'val':key, 'cnt':sum(c_ for _, c_ in list(group))} for key, group in groupby(d,itemgetter(0))] gd = list(reversed(sorted(gd0, key=itemgetter('val'))))[:k] lgc, lgd = len(gc), len(gd) ic,id = 0,0 cc,cd = gc[0]['cnt'],gd[0]['cnt'] while cc*cd < k: if ic == lgc-1 and id == lgd-1: break elif ic == lgc-1: id += 1 cd += gd[id]['cnt'] elif id == lgd-1: ic += 1 cc += gc[ic]['cnt'] elif gc[ic+1]['val'] + gd[id]['val'] >= gc[ic]['val'] + gd[id+1]['val']: ic += 1 cc += gc[ic]['cnt'] else: id += 1 cd += gd[id]['cnt'] r = [] for vc in gc: for vd in gd: r.append((vc['val']+vd['val'],vc['cnt']*vd['cnt'])) gr0 = [{'val':key, 'cnt':sum(c_ for _, c_ in list(group))} for key, group in groupby(r,itemgetter(0))] gr = list(reversed(sorted(gr0, key=itemgetter('val'))))[:k] i = 0 for vr in gr: for j in range(vr['cnt']): print((vr['val'])) i += 1 if i == k: exit
import heapq x,y,z,k = (int(x) for x in input().split()) a = [int(x) for x in input().split()] b = [int(x) for x in input().split()] c = [int(x) for x in input().split()] a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) # heap h = [] g = set() heapq.heappush(h, (-(a[0]+b[0]+c[0]),0,0,0)) for i in range(k): q,ia,ib,ic = heapq.heappop(h) print((-q)) ja,jb,jc = ia+1,ib,ic if ja<x and (ja,jb,jc) not in g: heapq.heappush(h, (-(a[ja]+b[jb]+c[jc]),ja,jb,jc)) g.add((ja,jb,jc)) ja,jb,jc = ia,ib+1,ic if jb<y and (ja,jb,jc) not in g: heapq.heappush(h, (-(a[ja]+b[jb]+c[jc]),ja,jb,jc)) g.add((ja,jb,jc)) ja,jb,jc = ia,ib,ic+1 if jc<z and (ja,jb,jc) not in g: heapq.heappush(h, (-(a[ja]+b[jb]+c[jc]),ja,jb,jc)) g.add((ja,jb,jc))
p03078
import sys import heapq input = sys.stdin.readline def main(): X, Y, Z, K = list(map(int, input().split())) A = list([-int(x) for x in input().split()]) B = list([-int(x) for x in input().split()]) C = list([-int(x) for x in input().split()]) A.sort() B.sort() C.sort() p_queue = [(A[0] + B[0] + C[0], 0, 0, 0)] appear = [[[False for _ in range(Z)] for _ in range(Y)] for _ in range(X)] appear[0][0][0] = True ans = [] while len(ans) < K: s, i_A, i_B, i_C = heapq.heappop(p_queue) ans.append(-s) if i_A < X - 1 and not appear[i_A + 1][i_B][i_C]: appear[i_A + 1][i_B][i_C] = True t = s - A[i_A] + A[i_A + 1] heapq.heappush(p_queue, (t, i_A + 1, i_B, i_C)) if i_B < Y - 1 and not appear[i_A][i_B + 1][i_C]: appear[i_A][i_B + 1][i_C] = True t = s - B[i_B] + B[i_B + 1] heapq.heappush(p_queue, (t, i_A, i_B + 1, i_C)) if i_C < Z - 1 and not appear[i_A][i_B][i_C + 1]: appear[i_A][i_B][i_C + 1] = True t = s - C[i_C] + C[i_C + 1] heapq.heappush(p_queue, (t, i_A, i_B, i_C + 1)) print(("\n".join(map(str, ans)))) if __name__ == "__main__": main()
import sys import heapq input = sys.stdin.readline def main(): X, Y, Z, K = list(map(int, input().split())) A = list([-int(x) for x in input().split()]) B = list([-int(x) for x in input().split()]) C = list([-int(x) for x in input().split()]) A.sort() B.sort() C.sort() p_queue = [(A[0] + B[0] + C[0], 0, 0, 0)] visited = set() visited.add((0, 0, 0)) ans = [] while len(ans) < K: s, i_A, i_B, i_C = heapq.heappop(p_queue) ans.append(-s) if i_A < X - 1 and (i_A + 1, i_B, i_C) not in visited: visited.add((i_A + 1, i_B, i_C)) t = s - A[i_A] + A[i_A + 1] heapq.heappush(p_queue, (t, i_A + 1, i_B, i_C)) if i_B < Y - 1 and (i_A, i_B + 1, i_C) not in visited: visited.add((i_A, i_B + 1, i_C)) t = s - B[i_B] + B[i_B + 1] heapq.heappush(p_queue, (t, i_A, i_B + 1, i_C)) if i_C < Z - 1 and (i_A, i_B, i_C + 1) not in visited: visited.add((i_A, i_B, i_C + 1)) t = s - C[i_C] + C[i_C + 1] heapq.heappush(p_queue, (t, i_A, i_B, i_C + 1)) print(("\n".join(map(str, ans)))) if __name__ == "__main__": main()
p03078
import sys readline = sys.stdin.readline X,Y,Z,K = list(map(int,readline().split())) A = sorted(list(map(int,readline().split())),reverse = True) B = sorted(list(map(int,readline().split())),reverse = True) C = sorted(list(map(int,readline().split())),reverse = True) # AとBを組み合わせたケーキの上位K位を作る AB = [] for a in range(len(A)): for b in range(len(B)): AB += [A[a] + B[b]] AB = sorted(AB,reverse = True)[:K] # ABとCを組み合わせたケーキの上位K位を作る ans = [] for ab in range(len(AB)): for c in range(len(C)): ans += [AB[ab] + C[c]] ans = sorted(ans,reverse = True)[:K] for a in ans: print(a)
import sys readline = sys.stdin.readline X,Y,Z,K = map(int,readline().split()) A = sorted(list(map(int,readline().split())),reverse = True) B = sorted(list(map(int,readline().split())),reverse = True) C = sorted(list(map(int,readline().split())),reverse = True) ans = [] for a in range(len(A)): for b in range(len(B)): for c in range(len(C)): if (a + 1) * (b + 1) * (c + 1) > K: break ans += [A[a] + B[b] + C[c]] ans = sorted(ans,reverse = True)[:K] print(*ans,sep = "\n")
p03078
X,Y,Z,K=list(map(int,input().split())) A=sorted(map(int, input().split()), reverse=True) B=sorted(map(int, input().split()), reverse=True) C=sorted(map(int, input().split()), reverse=True) AB=[] for a in A: for b in B: AB.append(a+b) ABC=[] for ab in sorted(AB, reverse=True)[:K]: for c in C: ABC.append(ab+c) for abc in sorted(ABC, reverse=True)[:K]: print(abc)
X,Y,Z,K=list(map(int,input().split())) A=list(map(int, input().split())) B=list(map(int, input().split())) C=list(map(int, input().split())) AB=[] for a in A: for b in B: AB.append(a+b) ABC=[] for ab in sorted(AB, reverse=True)[:K]: for c in C: ABC.append(ab+c) for abc in sorted(ABC, reverse=True)[:K]: print(abc)
p03078
import itertools X, Y, Z, K = [int(x) for x in input().split()] A = [int(x) for x in input().split()] B = [int(x) for x in input().split()] C = [int(x) for x in input().split()] list_ = [a+b+c for (a,b,c) in itertools.product(A, B, C)] list_.sort(reverse=True) for N in list_[:K]: print(N)
import itertools X, Y, Z, K = [int(x) for x in input().split()] A = [int(x) for x in input().split()] A.sort(reverse=True) B = [int(x) for x in input().split()] B.sort(reverse=True) C = [int(x) for x in input().split()] C.sort(reverse=True) list_ = [b+c for (b,c) in itertools.product(B, C)] list_.sort(reverse=True) list__ = [ab+c for (ab,c) in itertools.product(list_[:K], A)] list__.sort(reverse=True) for N in list__[:K]: print(N)
p03078
# import sys # sys.setrecursionlimit(10 ** 6) # import bisect # from collections import deque # from decorator import stop_watch # # # @stop_watch def solve(X, Y, Z, K, As, Bs, Cs): ABs = [] for A in As: for B in Bs: ABs.append(A + B) ABs.sort(reverse=True) ABCs = [] for i in range(min(X * Y, K)): AB = ABs[i] for C in Cs: ABCs.append(AB + C) ABCs.sort(reverse=True) for i in range(K): print((ABCs[i])) if __name__ == '__main__': # S = input() # N = int(input()) X, Y, Z, K = list(map(int, input().split())) As = [int(i) for i in input().split()] Bs = [int(i) for i in input().split()] Cs = [int(i) for i in input().split()] # import random # X, Y, Z, K = 1000,1000,1000,3000 # As = [random.randint(1, 10 ** 10) for _ in range(X)] # Bs = [random.randint(1, 10 ** 10) for _ in range(Y)] # Cs = [random.randint(1, 10 ** 10) for _ in range(Z)] solve(X, Y, Z, K, As, Bs, Cs)
# 解説を参考に作成 # import sys # sys.setrecursionlimit(10 ** 6) # import bisect # from collections import deque # from decorator import stop_watch # # # @stop_watch def solve(X, Y, Z, K, As, Bs, Cs): ABs = [] for A in As: for B in Bs: ABs.append(A + B) ABs.sort(reverse=True) ABCs = [] for i in range(min(X * Y, K)): AB = ABs[i] for C in Cs: ABCs.append(AB + C) ABCs.sort(reverse=True) for i in range(K): print((ABCs[i])) if __name__ == '__main__': # S = input() # N = int(input()) X, Y, Z, K = list(map(int, input().split())) As = [int(i) for i in input().split()] Bs = [int(i) for i in input().split()] Cs = [int(i) for i in input().split()] # import random # X, Y, Z, K = 1000,1000,1000,3000 # As = [random.randint(1, 10 ** 10) for _ in range(X)] # Bs = [random.randint(1, 10 ** 10) for _ in range(Y)] # Cs = [random.randint(1, 10 ** 10) for _ in range(Z)] solve(X, Y, Z, K, As, Bs, Cs)
p03078
# -*- coding: utf-8 -*- import sys import math from bisect import bisect_left from bisect import bisect_right input = sys.stdin.readline # bisect_left(lists, 3) # bisect_right(lists, 3) def main(): X, Y, Z, K = list(map(int, input().split(" "))) As = [] Bs = [] Cs = [] As = input().split() As = [int(s) for s in As] Bs = input().split() Bs = [int(s) for s in Bs] Cs = input().split() Cs = [int(s) for s in Cs] As.sort(reverse=True) Bs.sort(reverse=True) Cs.sort(reverse=True) As = As[:K] Bs = Bs[:K] Cs = Cs[:K] ans = [] for i, val in enumerate(As): for j, vol in enumerate(Bs): for k, ogi in enumerate(Cs): ans.append(val+vol+ogi) ans.sort(reverse=True) for i in range(K): print((ans[i])) if __name__ == "__main__": main()
# -*- coding: utf-8 -*- import sys import math from bisect import bisect_left from bisect import bisect_right input = sys.stdin.readline # bisect_left(lists, 3) # bisect_right(lists, 3) def main(): X, Y, Z, K = list(map(int, input().split(" "))) As = [] Bs = [] Cs = [] As = input().split() As = [int(s) for s in As] Bs = input().split() Bs = [int(s) for s in Bs] Cs = input().split() Cs = [int(s) for s in Cs] As.sort(reverse=True) Bs.sort(reverse=True) Cs.sort(reverse=True) ans1 = [] for i, val in enumerate(As): for j, vol in enumerate(Bs): ans1.append(val+vol) ans1.sort(reverse=True) ans1 = ans1[:3000] ans2 = [] for i, val in enumerate(ans1): for j, vol in enumerate(Cs): ans2.append(val+vol) ans2.sort(reverse=True) for i in range(K): print((ans2[i])) if __name__ == "__main__": main()
p03078
x, y, z, k = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list(map(int,input().split())) D = [] E = [] for i in range(x): for j in range(y): D.append(A[i]+B[j]) for i in range(z): for j in range(len(D)): E.append(C[i]+D[j]) print(("\n".join(map(str,sorted(E)[::-1][:k]))))
x, y, z, k = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list((list(map(int,input().split())))) D = [] E = [] for i in range(x): for j in range(y): D.append(A[i]+B[j]) D.sort() for i in range(z): for j in range(min(len(D),k)): E.append(C[i]+D[::-1][j]) print(("\n".join(map(str,sorted(E)[::-1][:k]))))
p03078
x, y, z, k = list(map(int,input().split())) A = list(map(int,input().split())) B = list(map(int,input().split())) C = list((list(map(int,input().split())))) D = [] E = [] for i in range(x): for j in range(y): D.append(A[i]+B[j]) D = sorted(D,reverse=True)[:k] for j in range(len(D)): for i in range(z): E.append(C[i]+D[j]) E = sorted(E, reverse=True) for i in range(k): print((E[i]))
x, y, z, k = [int(n) for n in input().split()] va = sorted([int(n) for n in input().split()], reverse=True) vb = sorted([int(n) for n in input().split()], reverse=True) xy = min(x*y, k) vab = (sorted([a + b for a in va for b in vb], reverse=True))[:xy] vc = sorted([int(n) for n in input().split()], reverse=True) xyz = min(x*y*z, k) print(*((sorted([ab + c for ab in vab for c in vc], reverse=True))[:xyz]), sep="\n")
p03078
def MergeSort(arr): if len(arr) <= 1: return arr mid = len(arr) // 2 left = arr[:mid] right = arr[mid:] left = MergeSort(left) right = MergeSort(right) return MergeArray(left, right) def MergeArray(left, right): merged = [] li, ri = 0, 0 while li < len(left) and ri < len(right): if left[li] > right[ri]: merged.append(left[li]) li += 1 else: merged.append(right[ri]) ri += 1 if li < len(left): merged.extend(left[li:]) elif ri < len(right): merged.extend(right[ri:]) return merged def solve(): X, Y, Z, K = [int(_) for _ in input().split()] A = [int(_) for _ in input().split()] B = [int(_) for _ in input().split()] C = [int(_) for _ in input().split()] A = MergeSort(A)[:K] B = MergeSort(B)[:K] C = MergeSort(C)[:K] lB = len(B) lC = len(C) sumAB = [] for i in range(lB): tmpA = [ele + B[i] for ele in A] sumAB = MergeArray(sumAB, tmpA) sumABC = [] for i in range(lC): tmpAB = [ele + C[i] for ele in sumAB] sumABC = MergeArray(sumABC, tmpAB) for i in range(K): print(sumABC[i]) if __name__ == '__main__': solve()
def MergeSort(arr): if len(arr) <= 1: return arr mid = len(arr) // 2 left = arr[:mid] right = arr[mid:] left = MergeSort(left) right = MergeSort(right) return MergeArray(left, right) def MergeArray(left, right): merged = [] li, ri = 0, 0 while li < len(left) and ri < len(right): if left[li] > right[ri]: merged.append(left[li]) li += 1 else: merged.append(right[ri]) ri += 1 if li < len(left): merged.extend(left[li:]) elif ri < len(right): merged.extend(right[ri:]) return merged def solve(): X, Y, Z, K = [int(_) for _ in input().split()] A = [int(_) for _ in input().split()] B = [int(_) for _ in input().split()] C = [int(_) for _ in input().split()] A = MergeSort(A)[:K] B = MergeSort(B)[:K] C = MergeSort(C)[:K] lB = len(B) lC = len(C) sumAB = [] for i in range(lB): tmpA = [ele + B[i] for ele in A] sumAB = MergeArray(sumAB, tmpA)[:K] sumABC = [] for i in range(lC): tmpAB = [ele + C[i] for ele in sumAB] sumABC = MergeArray(sumABC, tmpAB)[:K] for i in range(K): print(sumABC[i]) if __name__ == '__main__': solve()
p03078
def get_input(): X, Y, Z, K = [int(_) for _ in input().split()] A = [int(_) for _ in input().split()] B = [int(_) for _ in input().split()] C = [int(_) for _ in input().split()] return X, Y, Z, K, A, B, C def solve(): X, Y, Z, K, A, B, C = get_input() A = MergeSort(A)[:K] B = MergeSort(B)[:K] C = MergeSort(C)[:K] lB = len(B) lC = len(C) sumAB = [] for i in range(lB): tmpA = [ele + B[i] for ele in A] sumAB = MergeArray(sumAB, tmpA)[:K] sumABC = [] for i in range(lC): tmpAB = [ele + C[i] for ele in sumAB] sumABC = MergeArray(sumABC, tmpAB)[:K] for i in range(K): print(sumABC[i]) def solve2(): X, Y, Z, K, A, B, C = get_input() A.sort(reverse = True) B.sort(reverse = True) C.sort(reverse = True) sumABC = [] for i in range(X): for j in range(Y): for k in range(Z): if (i + 1) * (j + 1) * (k + 1) <= K: sumABC.append(A[i] + B[j] + C[k]) sumABC.sort(reverse = True) for i in range(K): print(sumABC[i]) if __name__ == '__main__': solve2()
def get_input(): X, Y, Z, K = [int(_) for _ in input().split()] A = [int(_) for _ in input().split()] B = [int(_) for _ in input().split()] C = [int(_) for _ in input().split()] return X, Y, Z, K, A, B, C def AddToQueue(_ele, _queue, _ijk_set, K): if len(_queue) == 0: _queue.append(_ele) else: cnt = 0 while cnt < len(_queue) and _queue[cnt][0] >= _ele[0]: cnt += 1 ijk = (_ele[1], _ele[2], _ele[3]) if not (ijk in _ijk_set): _queue.insert(cnt, _ele) _ijk_set.add(ijk) _queue = _queue[:K] def solve3(): X, Y, Z, K, A, B, C = get_input() A.sort(reverse = True) B.sort(reverse = True) C.sort(reverse = True) ijk_set = set() queue = [(A[0] + B[0] + C[0], 0, 0, 0)] ijk_set.add((0, 0, 0)) for cnt in range(K): ele, i, j, k = queue.pop(0) print(ele) if i + 1 < X: AddToQueue((A[i+1] + B[j] + C[k], i+1, j, k), queue, ijk_set, K) if j + 1 < Y: AddToQueue((A[i] + B[j+1] + C[k], i, j+1, k), queue, ijk_set, K) if k + 1 < Z: AddToQueue((A[i] + B[j] + C[k+1], i, j, k+1), queue, ijk_set, K) if __name__ == '__main__': solve3()
p03078
def get_input(): X, Y, Z, K = [int(_) for _ in input().split()] A = [int(_) for _ in input().split()] B = [int(_) for _ in input().split()] C = [int(_) for _ in input().split()] return X, Y, Z, K, A, B, C def AddToQueue(_ele, _queue, _ijk_set, K): if len(_queue) == 0: _queue.append(_ele) else: cnt = 0 while cnt < len(_queue) and _queue[cnt][0] >= _ele[0]: cnt += 1 ijk = (_ele[1], _ele[2], _ele[3]) if not (ijk in _ijk_set): _queue.insert(cnt, _ele) _ijk_set.add(ijk) _queue = _queue[:K] def solve3(): X, Y, Z, K, A, B, C = get_input() A.sort(reverse = True) B.sort(reverse = True) C.sort(reverse = True) ijk_set = set() queue = [(A[0] + B[0] + C[0], 0, 0, 0)] ijk_set.add((0, 0, 0)) for cnt in range(K): ele, i, j, k = queue.pop(0) print(ele) if i + 1 < X: AddToQueue((A[i+1] + B[j] + C[k], i+1, j, k), queue, ijk_set, K) if j + 1 < Y: AddToQueue((A[i] + B[j+1] + C[k], i, j+1, k), queue, ijk_set, K) if k + 1 < Z: AddToQueue((A[i] + B[j] + C[k+1], i, j, k+1), queue, ijk_set, K) if __name__ == '__main__': solve3()
def get_input(): X, Y, Z, K = [int(_) for _ in input().split()] A = [int(_) for _ in input().split()] B = [int(_) for _ in input().split()] C = [int(_) for _ in input().split()] return X, Y, Z, K, A, B, C def solve2(): X, Y, Z, K, A, B, C = get_input() A.sort(reverse = True) B.sort(reverse = True) C.sort(reverse = True) sumABC = [] for i in range(X): for j in range(Y): if (i + 1) * (j + 1) > K: break for k in range(Z): if (i + 1) * (j + 1) * (k + 1) > K: break sumABC.append(A[i] + B[j] + C[k]) sumABC.sort(reverse = True) for i in range(K): print(sumABC[i]) if __name__ == '__main__': solve2()
p03078
k = [int(i) for i in input().split()] x = [int(i) for i in input().split()] y = [int(i) for i in input().split()] z = [int(i) for i in input().split()] x.sort() y.sort() z.sort() e = [] for i in x: for j in y: e.append(i+j) e.sort() f = [] for i in e: for j in z: f.append(i+j) f.sort() f.reverse() for i in range(k[3]): print((f[i]))
X,Y,Z,K=list(map(int,input().split())) A=[int(i) for i in input().split()] B=[int(i) for i in input().split()] C=[int(i) for i in input().split()] A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) SUM=[] for i in range(X): for j in range(Y): for k in range(Z): if (i+1)*(j+1)*(k+1)<=K: SUM.append(A[i]+B[j]+C[k]) else: break SUM.sort(reverse=True) for i in range(K): print((SUM[i]))
p03078
import sys input=sys.stdin.readline x,y,z,k=list(map(int,input().split())) a=list(map(int,input().split())) b=list(map(int,input().split())) c=list(map(int,input().split())) l1=sorted([i+j for i in a for j in b],reverse=True)[:k] l2=sorted([i+j for i in l1 for j in c],reverse=True)[:k] for i in l2: print(i)
import sys input=sys.stdin.readline x,y,z,k=list(map(int,input().split())) a=list(map(int,input().split())) b=list(map(int,input().split())) c=list(map(int,input().split())) a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) l1=sorted([i+j for i in a for j in b],reverse=True)[:k] l2=sorted([i+j for i in l1 for j in c],reverse=True)[:k] for i in l2: print(i)
p03078
X, Y, Z, K = list(map(int, input().split())) A = sorted(map(int, input().split()), reverse=True) B = sorted(map(int, input().split()), reverse=True) C = sorted(map(int, input().split()), reverse=True) AB = [] for i in range(X): for j in range(Y): AB.append(A[i] + B[j]) AB.sort(reverse=True) ABC = [] for i in range(min(K, len(AB))): for j in range(Z): ABC.append(AB[i] + C[j]) ABC.sort(reverse=True) for i in range(K): print((ABC[i]))
X, Y, Z, K = list(map(int, input().split())) A = sorted(map(int, input().split()), reverse=True) B = sorted(map(int, input().split()), reverse=True) C = sorted(map(int, input().split()), reverse=True) ABC = [] for a in range(X): for b in range(Y): if (a + 1) * (b + 1) > K: break for c in range(Z): if (a + 1) * (b + 1) * (c + 1) > K: break ABC.append(A[a] + B[b] + C[c]) ABC.sort(reverse=True) for i in range(K): print((ABC[i]))
p03078
X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) Al = sorted(A,reverse=True)[:K] Bl = sorted(B,reverse=True)[:K] Cl = sorted(C,reverse=True)[:K] result = [] for a in Al: for b in Bl: for c in Cl: result.append(a+b+c) result.sort(reverse=True) for i in range(K): print((result[i]))
X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) Al = sorted(A,reverse=True)[:K] Bl = sorted(B,reverse=True)[:K] Cl = sorted(C,reverse=True)[:K] ABl = [] for a in Al: for b in Bl: ABl.append(a+b) result = [] ABl = sorted(ABl,reverse=True)[:K] for ab in ABl: for c in Cl: result.append(ab+c) result.sort(reverse=True) for i in range(K): print((result[i]))
p03078
X,Y,Z,K = list(map(int,input().split())) list_a = list(map(int,input().split())) list_b = list(map(int,input().split())) list_c = list(map(int,input().split())) list_a.sort(reverse=True) list_b.sort(reverse=True) list_c.sort(reverse=True) list = [] for la in list_a: for lb in list_b: list.append([la,lb,la+lb]) list.sort(key=lambda x:x[2],reverse=True) list2 = [] for a,b,n in list: for lc in list_c: list2.append(n+lc) list2.sort(reverse=True) cnt = 0 for i in list2: print(i) cnt += 1 if cnt == K: exit()
X,Y,Z,K = list(map(int,input().split())) list_a = list(map(int,input().split())) list_b = list(map(int,input().split())) list_c = list(map(int,input().split())) list_a.sort(reverse=True) list_b.sort(reverse=True) list_c.sort(reverse=True) sum_ = [] for a in range(X): for b in range(Y): for c in range(Z): if (a+1)*(b+1)*(c+1) > K: break sum_.append(list_a[a]+list_b[b]+list_c[c]) sum_.sort(reverse=True) for i in range(K): print((sum_[i]))
p03078
import itertools X, Y, Z, K = list(map(int, input().split())) A = [int(i) for i in input().split()] B = [int(i) for i in input().split()] C = [int(i) for i in input().split()] D = [] for a, b in itertools.product(A, B): d = a + b D.append(d) D.sort(reverse = True) E = [] for c, d in itertools.product(C, D[:K]): e = c + d E.append(e) E.sort(reverse = True) for e in E[:K]: print(e)
X, Y, Z, K = list(map(int, input().split())) A = sorted([int(i) for i in input().split()], reverse = True) B = sorted([int(i) for i in input().split()], reverse = True) C = sorted([int(i) for i in input().split()], reverse = True) D = [] for i in range(X): for j in range(Y): if (i + 1) * (j + 1) > K: break for k in range(Z): if (i + 1) * (j + 1) * (k + 1) > K: break D.append(A[i] + B[j] + C[k]) #print(A[i] + B[j] + C[k], i, j, k) D.sort(reverse = True) for d in D[:K]: print(d)
p03078
x,y,z,k=list(map(int,input().split())) a=sorted([int(i) for i in input().split()],reverse=True) b=sorted([int(i) for i in input().split()],reverse=True) c=sorted([int(i) for i in input().split()],reverse=True) ab=[a[i]+b[j] for j in range(y) for i in range(x)] ab.sort(reverse=True) ab=ab[:k] l=len(ab) abc=[ab[i]+c[j] for j in range(z) for i in range(l)] abc.sort(reverse=True) for i in range(k): print((abc[i]))
x,y,z,k=list(map(int,input().split())) a=[int(i) for i in input().split()] b=[int(i) for i in input().split()] c=[int(i) for i in input().split()] a.sort() b.sort() c.sort() ab=[a[i]+b[j] for j in range(y) for i in range(x)] ab.sort(reverse=True) ab=ab[:k] l=len(ab) abc=[ab[i]+c[j] for j in range(z) for i in range(l)] abc.sort(reverse=True) for i in range(k): print((abc[i]))
p03078
#AC済み x,y,z,k=list(map(int,input().split())) a=[int(i) for i in input().split()] b=[int(i) for i in input().split()] c=[int(i) for i in input().split()] a.sort() b.sort() c.sort() ab=[-a[i]-b[j] for j in range(y) for i in range(x)] ab.sort() ab=ab[:k] l=len(ab) abc=[ab[i]-c[j] for j in range(z) for i in range(l)] abc.sort() for i in range(k): print((-abc[i]))
#AC済み x,y,z,k=list(map(int,input().split())) a=sorted([int(i) for i in input().split()]) b=sorted([int(i) for i in input().split()]) c=sorted([int(i) for i in input().split()]) a.sort() b.sort() c.sort() ab=[a[i]+b[j] for j in range(y) for i in range(x)] ab.sort(reverse=True) ab=ab[:k] l=len(ab) abc=[ab[i]+c[j] for j in range(z) for i in range(l)] abc.sort(reverse=True) for i in range(k): print((abc[i]))
p03078
#AC済み x,y,z,k=list(map(int,input().split())) a=sorted([int(i) for i in input().split()]) b=sorted([int(i) for i in input().split()]) c=sorted([int(i) for i in input().split()]) ab=[a[i]+b[j] for j in range(y) for i in range(x)] ab.sort(reverse=True) ab=ab[:k] l=len(ab) abc=[ab[i]+c[j] for j in range(z) for i in range(l)] abc.sort(reverse=True) for i in range(k): print((abc[i]))
#AC済み x,y,z,k=list(map(int,input().split())) a=sorted([int(i) for i in input().split()]) b=sorted([int(i) for i in input().split()]) c=sorted([int(i) for i in input().split()]) ab=sorted([a[i]+b[j] for j in range(y) for i in range(x)],reverse=True) ab=ab[:k] l=len(ab) abc=sorted([ab[i]+c[j] for j in range(z) for i in range(l)],reverse=True) for i in range(k): print((abc[i]))
p03078
import itertools X, Y, Z, K = list(map(int, input().rstrip().split())) A = list(map(int, input().rstrip().split())) B = list(map(int, input().rstrip().split())) C = list(map(int, input().rstrip().split())) A.sort() B.sort() C.sort() combinations = list(itertools.product(A, B, C)) total = [] for combination in combinations: total.append(sum(combination)) total.sort(reverse=True) for i in range(K): print((total[i]))
import itertools X, Y, Z, K = list(map(int, input().rstrip().split())) A = list(map(int, input().rstrip().split())) B = list(map(int, input().rstrip().split())) C = list(map(int, input().rstrip().split())) A.sort() B.sort() C.sort() if X*Y*Z != K: if X >= 200: A = A[:200] if Y >= 200: B = B[:200] if Z >= 200: C = C[:200] combinations = list(itertools.product(A, B, C)) total = [] for combination in combinations: total.append(sum(combination)) total.sort(reverse=True) for i in range(K): print((total[i]))
p03078
from heapq import heappush, heappop x, y, z, k = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) used = [[[False] * (z + 1) for _ in range(y + 1)] for _ in range(x + 1)] A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) kouho = [(-(A[0] + B[0] + C[0]), 0, 0, 0)] def calc(a, b, c): if not used[a][b][c]: used[a][b][c] = True heappush(kouho, ((-A[a] - B[b] - C[c]), a, b, c)) used[0][0][0] = True for i in range(k): temp, p, q, r = heappop(kouho) temp *= -1 print(temp) if p + 1 < x: calc(p + 1, q, r) if q + 1 < y: calc(p, q + 1, r) if r + 1 < z: calc(p, q, r + 1)
# pypyでギリ。 import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines x, y, z, k = map(int, readline().split()) A = list(map(int, readline().split())) B = list(map(int, readline().split())) C = list(map(int, readline().split())) goukei = [] for a in A: for b in B: goukei.append(a + b) goukei.sort() goukei2 = goukei[-k:] goukei3 = [] for c in C: for ab in goukei2: goukei3.append(ab + c) goukei3.sort(reverse=True) print(*goukei3[:k], sep="\n")
p03078
x,y,z,K=list(map(int,input().split())) a=list(map(int,input().split())) b=list(map(int,input().split())) c=list(map(int,input().split())) a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) tmp=[] for i in range(x): for j in range(y): tmp.append(a[i]+b[j]) tmp.sort(reverse=True) ans=[] for i in tmp[:3000]: for j in range(z): ans.append(i+c[j]) ans.sort(reverse=True) for i in range(K): print((ans[i]))
x,y,z,K=list(map(int,input().split())) a=list(map(int,input().split())) b=list(map(int,input().split())) c=list(map(int,input().split())) a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) ans=[] for i in range(x): for j in range(y): if (i+1)*(j+1)>K: break for k in range(z): if (i+1)*(j+1)*(k+1)>K: break ans.append(a[i]+b[j]+c[k]) ans.sort(reverse=True) for i in range(K): print((ans[i]))
p03078
import math X,Y,Z,K=list(map(int,input().split())) A=list(map(int,input().split())) B=list(map(int,input().split())) C=list(map(int,input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) l=[] stat=int(math.sqrt(10**7//X)) for i in range(X): for j in range(min(stat,Y)): for k in range(min(stat,Z)): l.append(A[i] + B[j] + C[k]) end1=stat stat2=int(math.sqrt(10**7//Y)) for i in range(min(stat,X),min(stat+stat2,X)): for j in range(Y): for k in range(min(stat,Z),min(stat+stat2,Z)): l.append(A[i] + B[j] + C[k]) end2=stat+stat2 stat3=int(math.sqrt(10**7//Z)) for i in range(min(stat+stat2,X),min(stat+stat2+stat3,X)): for j in range(min(stat+stat2,Y),min(stat+stat2+stat3,Y)): for k in range(Z): l.append(A[i] + B[j] + C[k]) l.sort(reverse=True) #print(l) for i in range(K): print((l[i]))
import math X,Y,Z,K=list(map(int,input().split())) A=list(map(int,input().split())) B=list(map(int,input().split())) C=list(map(int,input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) l=[] #まずX+Yを求め、上から順にソート #10^6相当の計算 for i in range(X): for j in range(Y): l.append(A[i] + B[j]) l.sort(reverse=True) ans=[] #(X+Y)+Zより、全体の上位を求めるが、Zが何であれ、X+Yの和が上からK番目以下のものは考慮しなくて良い #(X+YにおいてK+i番目のもの(X+Y)_K+i+Zjが全体でK番以内に食い込めるということは、1~K番目のX+Yにて(X+Y)_1~K+Zj>(X+Y)_K+i+Zjが成立することと矛盾する) #これで高々10^7相当までのソートでよくなる for i in range(min(K,len(l))): for j in range(Z): ans.append(l[i]+C[j]) ans.sort(reverse=True) for i in range(K): print((ans[i]))
p03078
import heapq def main(): X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) AA = list([x*(-1) for x in A]) BB = list([x*(-1) for x in B]) CC = list([x*(-1) for x in C]) ans = [] heapq.heapify(ans) for a in AA: for b in BB: for c in CC: heapq.heappush(ans, a+b+c) for i in range(K): print((heapq.heappop(ans)*(-1))) main()
from heapq import heappush, heapify, heappop def main(): X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) que = [] heapify(que) heappush(que, (-A[0]-B[0]-C[0], 0, 0, 0)) s = set() for i in range(K): ans = heappop(que) print((-ans[0])) if(ans[1] < X-1 and not (ans[1]+1, ans[2], ans[3]) in s): heappush(que, [-A[ans[1]+1]-B[ans[2]]-C[ans[3]], ans[1]+1, ans[2], ans[3]]) s.add((ans[1]+1, ans[2], ans[3])) if(ans[2] < Y-1 and not (ans[1], ans[2]+1, ans[3]) in s): heappush(que, [-A[ans[1]]-B[ans[2]+1]-C[ans[3]], ans[1], ans[2]+1, ans[3]]) s.add((ans[1], ans[2]+1, ans[3])) if(ans[3] < Z-1 and not (ans[1], ans[2], ans[3]+1) in s): heappush(que, [-A[ans[1]]-B[ans[2]]-C[ans[3]+1], ans[1], ans[2], ans[3]+1]) s.add((ans[1], ans[2], ans[3]+1)) main()
p03078
X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) AB = [a + b for a in A for b in B] AB.sort() AB.reverse() ABC = [ab + c for ab in AB for c in C] ABC.sort() ABC.reverse() for k in range(K): print((ABC[k]))
X, Y, Z, K = list(map(int, input().split())) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) AB = [a + b for a in A for b in B] AB.sort() AB.reverse() AB = AB[:min(K, X*Y)] ABC = [ab + c for ab in AB for c in C] ABC.sort() ABC.reverse() for k in range(min(K, X*Y*Z)): print((ABC[k]))
p03078
X, Y, Z, K = list(map(int, input().split())) *A, = sorted(map(int, input().split()), reverse=True) *B, = sorted(map(int, input().split()), reverse=True) *C, = sorted(map(int, input().split()), reverse=True) AB = [A[x]+B[y] for x in range(X) for y in range(Y)] AB.sort(reverse=True) AB = AB[:K] XY = len(AB) ABC = [AB[xy]+C[z] for xy in range(XY) for z in range(Z)] ABC.sort(reverse=True) for k in range(K): print((ABC[k]))
X, Y, Z, K = list(map(int, input().split())) *A, = sorted(map(int, input().split()), reverse=True) *B, = sorted(map(int, input().split()), reverse=True) *C, = sorted(map(int, input().split()), reverse=True) AB = [A[x] + B[y] for y in range(Y) for x in range(X)] AB.sort(reverse=True) AB = AB[:K] ABC = [AB[x] + C[z] for z in range(Z) for x in range(len(AB))] ABC.sort(reverse=True) for k in range(K): print((ABC[k]))
p03078
X, Y, Z, K = list(map(int, input().split())) *A, = sorted(map(int, input().split()), reverse=True) *B, = sorted(map(int, input().split()), reverse=True) *C, = sorted(map(int, input().split()), reverse=True) AB = [A[x] + B[y] for y in range(Y) for x in range(X)] AB.sort(reverse=True) AB = AB[:K] XY = len(AB) ABC = [AB[xy] + C[z] for z in range(Z) for xy in range(XY)] ABC.sort(reverse=True) for k in range(K): print((ABC[k]))
X, Y, Z, K = list(map(int, input().split())) *A, = sorted(map(int, input().split()), reverse=True) *B, = sorted(map(int, input().split()), reverse=True) *C, = sorted(map(int, input().split()), reverse=True) AB = [a+b for a in A for b in B] AB.sort(reverse=True) AB = AB[:K] XY = len(AB) ABC = [ab+c for c in C for ab in AB] ABC.sort(reverse=True) ABC = ABC[:K] for abc in ABC: print(abc)
p03078
# -*- coding: utf-8 -*- x,y,z,k = list(map(int, input().split())) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) v = [] d = [e1+e2 for e1 in a for e2 in b] d.sort(reverse=True) d = d[:k] e = [e1+e2 for e1 in d for e2 in c] e.sort(reverse=True) for i in range(k): print((e[i]))
# -*- coding: utf-8 -*- x,y,z,k = list(map(int, input().split())) a = list(map(int,input().split())) b = list(map(int,input().split())) c = list(map(int,input().split())) a.sort(reverse=True) b.sort(reverse=True) c.sort(reverse=True) d = [e1+e2 for e1 in a for e2 in b] d.sort(reverse=True) d = d[:k] e = [e1+e2 for e1 in d for e2 in c] e.sort(reverse=True) for i in range(k): print((e[i]))
p03078
import heapq class UnionFind(): def __init__(self,n): self.n=n self.root=[-1]*(n+1) self.rank=[0]*(n+1) def FindRoot(self,x): if self.root[x]<0: return x else: self.root[x]=self.FindRoot(self.root[x]) return self.root[x] def Unite(self,x,y): x=self.FindRoot(x) y=self.FindRoot(y) if x==y: return else: if self.rank[x]>self.rank[y]: self.root[x]+=self.root[y] self.root[y]=x elif self.rank[x]<=self.rank[y]: 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.FindRoot(x)==self.FindRoot(y) def Count(self,x): return -self.root[self.FindRoot(x)] n,m=list(map(int,input().split())) cost=list(map(int,input().split())) if n==1: print((0)) exit() if n==2: if m==0: print((cost[0]+cost[1])) exit() if m==1: print((0)) exit() edges=[list(map(int,input().split())) for _ in range(m)] uf=UnionFind(n) for a,b in edges: uf.Unite(a,b) isolates=set() isolates_cnt=0 groups=set() groups_cnt=2 roots=[] qs=[[] for _ in range(n)] for i in range(n): root=uf.FindRoot(i) cnt=uf.Count(i) if cnt==1: isolates_cnt+=1 isolates.add(root) heapq.heappush(qs[root],(cost[i],i)) else: if root not in groups: groups_cnt+=cnt-2 roots.append((root,cnt)) groups.add(root) heapq.heappush(qs[root],(cost[i],i)) if groups_cnt<isolates_cnt: print('Impossible') else: ans=0 roots=sorted(roots,reverse=True,key=lambda x:x[1]) root=roots[0][0] for tmp_root,_ in roots[1:]: cv,v=heapq.heappop(qs[root]) cu,u=heapq.heappop(qs[tmp_root]) ans+=(cv+cu) while len(qs[tmp_root])!=0: tc,tv=heapq.heappop(qs[tmp_root]) heapq.heappush(qs[root],(tc,tv)) for tmp_root in isolates: cv,v=heapq.heappop(qs[root]) cu,u=heapq.heappop(qs[tmp_root]) ans+=(cv+cu) print(ans)
import heapq class UnionFind(): def __init__(self,n): self.n=n self.root=[-1]*(n+1) self.rank=[0]*(n+1) def FindRoot(self,x): if self.root[x]<0: return x else: self.root[x]=self.FindRoot(self.root[x]) return self.root[x] def Unite(self,x,y): x=self.FindRoot(x) y=self.FindRoot(y) if x==y: return else: if self.rank[x]>self.rank[y]: self.root[x]+=self.root[y] self.root[y]=x elif self.rank[x]<=self.rank[y]: 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.FindRoot(x)==self.FindRoot(y) def Count(self,x): return -self.root[self.FindRoot(x)] n,m=list(map(int,input().split())) costs=list(map(int,input().split())) if m==n-1: print((0)) exit() edges=[list(map(int,input().split())) for _ in range(m)] uf=UnionFind(n) for a,b in edges: uf.Unite(a,b) qs=[[] for _ in range(n)] roots=set() for i in range(n): root=uf.FindRoot(i) roots.add(root) heapq.heappush(qs[root],costs[i]) remains=[] ans=0 cnt=0 for root in roots: cost=heapq.heappop(qs[root]) ans+=cost cnt+=1 while len(qs[root])!=0: cost=heapq.heappop(qs[root]) heapq.heappush(remains,cost) while len(remains)!=0 and cnt<2*(n-m-1): cost=heapq.heappop(remains) ans+=cost cnt+=1 if cnt==2*(n-m-1): print(ans) else: print('Impossible')
p03440
from collections import* from heapq import* (n,m),a,*q=[[*map(int,o.split())]for o in open(0)] t=[-1]*n def r(x): while t[x]>=0:x=t[x] return x def u(x,y): x,y=r(x),r(y) if x!=y: if t[x]>t[y]:x,y=y,x t[x]+=t[y];t[y]=x d=defaultdict(list) for x,y in q:u(x,y) i=0 for v in a:d[r(i)]+=v,;i+=1 if len(d)<2:exit(print(0)) c,b,k=0,[],(n-m-1)*2 for r,p in d.items():p.sort();c+=p.pop(0);b+=p;k-=1 print(k>len(b)and'Impossible'or c+sum(sorted(b)[:k]))
from collections import* from heapq import* (n,m),a,*q=[[*map(int,o.split())]for o in open(0)] t=[-1]*n def r(x): while t[x]>=0:x=t[x] return x def u(x,y): x,y=r(x),r(y) if x!=y: if t[x]>t[y]:x,y=y,x t[x]+=t[y];t[y]=x d=defaultdict(list) for x,y in q:u(x,y) i=c=0;b=[];k=(n+~m)*2 for v in a:d[r(i)]+=v,;i+=1 if k<1:exit(print(0)) for r,p in d.items():p.sort();c+=p.pop(0);b+=p;k-=1 print(k>len(b)and'Impossible'or c+sum(sorted(b)[:k]))
p03440
import sys input = sys.stdin.buffer.readline from collections import defaultdict import heapq def main(): N,M = list(map(int,input().split())) a = list(map(int,input().split())) d = defaultdict(list) I = [i for i in range(N)] rank = [1 for _ in range(N)] def root(a): if I[a] == a: return a else: I[a] = root(I[a]) return I[a] def unite(a,b): pa,pb = root(a),root(b) ra,rb = rank[a],rank[b] if ra > rb: I[pb] = pa else: I[pa] = pb if ra == rb: rank[pb] += 1 for _ in range(M): x,y = list(map(int,input().split())) unite(x,y) parent = root(x) for i,num in enumerate(I): parent = root(num) heapq.heappush(d[parent],a[i]) if M == N-1: print((0)) exit() elif N < 2*(N-M-1): print("Impossible") exit() l = len(list(d.keys())) ans = 0 rest = [] for use in list(d.values()): ans += heapq.heappop(use) rest.extend(use) remain = 2*(N-M-1)-l rest.sort() ans += sum(rest[:remain]) print(ans) if __name__ == "__main__": main()
class UnionFind: def __init__(self, n): self.par = [i for i in range(n)] self.rank = [0]*n 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 unit(self, x, y): x = self.find(x) y = self.find(y) if x==y: return elif self.rank[x]<self.rank[y]: self.par[x] = y elif self.rank[y]<self.rank[x]: self.par[y] = x else: self.par[y] = x self.rank[x] += 1 def same(self, x, y): return self.find(x)==self.find(y) from collections import defaultdict N,M,*L = list(map(int, open(0).read().split())) A = L[:N] U = UnionFind(N) for x,y in zip(*[iter(L[N:])]*2): U.unit(x,y) ans = 0 rest = [] dic = defaultdict(list) for i in range(N): dic[U.find(i)].append(A[i]) for k in list(dic.keys()): dic[k].sort() ans += dic[k][0] rest.extend(dic[k][1:]) if N-1==M: print((0)) exit() if N<2*(N-M-1): print('Impossible') exit() rest.sort() remain = 2*(N-M-1)-len(list(dic.keys())) ans += sum(rest[:remain]) print(ans)
p03440
from sys import exit, setrecursionlimit, stderr from functools import reduce from itertools import * from collections import * from bisect import bisect def read(): return int(eval(input())) def reads(): return [int(x) for x in input().split()] def main(): N, M = reads() A = reads() d = Counter(A) uf = union_find(N) edges = [[] for _ in range(N)] for _ in range(M): x, y = reads() uf.unite(x, y) INF = 1 << 30 mins = defaultdict(lambda: INF) for i in range(N): k = uf.root(i) mins[k] = min(mins[k], A[i]) g = len(mins) if g == 1: print((0)); exit() if (g - 1) * 2 > N: print("Impossible"); exit() ans = 0 for k, v in list(mins.items()): ans += v d[v] -= 1 ans += sum(sorted(d.elements())[:g-2]) print(ans) class union_find: def __init__(self, n): self.par = [-1] * n def __repr__(self): return "union_find({0})".format(self.par) def unite(self, x, y): if self.root(x) != self.root(y): self.par[self.root(x)] = y def root(self, x): if self.par[x] == -1: return x else: self.par[x] = self.root(self.par[x]) return self.par[x] def same(self, x, y): return self.root(x) == self.root(y) main()
from sys import exit, setrecursionlimit, stderr from functools import reduce from itertools import * from collections import * from bisect import bisect def read(): return int(eval(input())) def reads(): return [int(x) for x in input().split()] def main(): N, M = reads() A = reads() if M == N-1: print((0)); exit() d = Counter(A) uf = union_find(N) edges = [[] for _ in range(N)] for _ in range(M): x, y = reads() uf.unite(x, y) INF = 1 << 30 mins = defaultdict(lambda: INF) for i in range(N): k = uf.root(i) mins[k] = min(mins[k], A[i]) g = len(mins) if (g - 1) * 2 > N: print("Impossible"); exit() ans = 0 for k, v in list(mins.items()): ans += v d[v] -= 1 ans += sum(sorted(d.elements())[:g-2]) print(ans) class union_find: def __init__(self, n): self.par = [-1] * n; self.rank = [0] * n def __repr__(self): return "union_find({0})".format([self.root(i) for i in range(n)]) def unite(self, x, y): x = self.root(x); y = self.root(y) if x == y: return 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 root(self, x): if self.par[x] == -1: return x else: self.par[x] = self.root(self.par[x]); return self.par[x] def same(self, x, y): return self.root(x) == self.root(y) main()
p03440
import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines from heapq import heappop,heappush n,m = list(map(int,readline().split())) a = list(map(int,readline().split())) xy = list(map(int,read().split())) if(n-m==1): print((0)) exit() p = ((n-1)-m)*2 if( p > n): print('Impossible') exit() sys.setrecursionlimit(10**9) class UnionFind(): def __init__(self, n): self.n = n self.parents = [-1] * n def find(self,x): if(self.parents[x] < 0): return x self.parents[x] = self.find(self.parents[x]) return self.parents[x] def size(self, x): return self.parents[ self.find(x) ] * -1 def same(self, x, y): x_root = self.find(x) y_root = self.find(y) return (x_root == y_root) def union(self,x,y): x_root = self.find(x) y_root = self.find(y) if(x_root == y_root): return if( self.parents[x_root] <= self.parents[y_root] ): self.parents[x_root] += self.parents[y_root] self.parents[y_root] = x_root else: self.parents[y_root] += self.parents[x_root] self.parents[x_root] = y_root def members(self,x): root = self.find(x) ret = [ i for i in range(self.n) if self.find(i) == root ] return ret def roots(self): ret = [ i for i in range(self.n) if self.parents[i] < 0] return ret def group_count(self): return len(self.roots()) def all_group_members(self): return {r: self.members(r) for r in self.roots()} uf = UnionFind(n) hqs = [[] for _ in range(n)] it = iter(xy) for x,y in zip(it,it): uf.union(x,y) for i in range(n): root = uf.find(i) heappush(hqs[root], a[i]) ans = [] others = [] for i in range(n): if(hqs[i]): ans.append(heappop(hqs[i])) others = others + hqs[i] others.sort() rem = p - len(ans) ans = ans + others[:rem] print((sum(ans)))
import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines from heapq import heappop,heappush n,m = list(map(int,readline().split())) a = list(map(int,readline().split())) xy = list(map(int,read().split())) if(n-m==1): print((0)) exit() p = ((n-1)-m)*2 if( p > n): print('Impossible') exit() sys.setrecursionlimit(10**9) class UnionFind(): def __init__(self, n): self.n = n self.parents = [-1] * n def find(self,x): if(self.parents[x] < 0): return x self.parents[x] = self.find(self.parents[x]) return self.parents[x] def size(self, x): return self.parents[ self.find(x) ] * -1 def same(self, x, y): x_root = self.find(x) y_root = self.find(y) return (x_root == y_root) def union(self,x,y): x_root = self.find(x) y_root = self.find(y) if(x_root == y_root): return if( self.parents[x_root] <= self.parents[y_root] ): self.parents[x_root] += self.parents[y_root] self.parents[y_root] = x_root else: self.parents[y_root] += self.parents[x_root] self.parents[x_root] = y_root def members(self,x): root = self.find(x) ret = [ i for i in range(self.n) if self.find(i) == root ] return ret def roots(self): ret = [ i for i in range(self.n) if self.parents[i] < 0] return ret def group_count(self): return len(self.roots()) def all_group_members(self): return {r: self.members(r) for r in self.roots()} uf = UnionFind(n) hqs = [[] for _ in range(n)] it = iter(xy) for x,y in zip(it,it): uf.union(x,y) for i in range(n): root = uf.find(i) heappush(hqs[root], a[i]) ans = [] others = [] for i in range(n): if(hqs[i]): ans.append(heappop(hqs[i])) for j in hqs[i]: others.append(j) others.sort() rem = p - len(ans) ans = ans + others[:rem] print((sum(ans)))
p03440
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 get_all_members(self): pare_d = {} for i in range(self.n): parent = self.find(i) pare_d.setdefault(parent,[]) pare_d[parent].append(i) return list(pare_d.values()) def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) def main(): n,m = list(map(int, input().split())) al = list(map(int, input().split())) uf = UnionFind(n) for _ in range(m): x,y = list(map(int, input().split())) uf.union(x,y) first_mins = [] other_vals = [] all_members = uf.get_all_members() if len(all_members) == 1: print((0)) exit() for members in all_members: vs = [] for m in members: vs.append(al[m]) vs.sort() first_mins.append(vs[0]) other_vals = other_vals + vs[1:] # print(first_mins) ans = 0 ans += sum(first_mins) rem = len(all_members)-2 if len(other_vals) < rem: print('Impossible') exit() other_vals.sort() ans += sum(other_vals[:rem]) print(ans) if __name__ == "__main__": main()
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 get_all_members(self): pare_d = {} for i in range(self.n): parent = self.find(i) pare_d.setdefault(parent,[]) pare_d[parent].append(i) return list(pare_d.values()) def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) def main(): n,m = list(map(int, input().split())) al = list(map(int, input().split())) uf = UnionFind(n) for _ in range(m): x,y = list(map(int, input().split())) uf.union(x,y) first_mins = [] other_vals = [] all_members = uf.get_all_members() if len(all_members) == 1: print((0)) exit() for members in all_members: vs = [] for m in members: vs.append(al[m]) vs.sort() first_mins.append(vs[0]) for i,v in enumerate(vs): if i > 0: other_vals.append(v) # print(first_mins) ans = 0 ans += sum(first_mins) rem = len(all_members)-2 if len(other_vals) < rem: print('Impossible') exit() other_vals.sort() ans += sum(other_vals[:rem]) print(ans) if __name__ == "__main__": main()
p03440
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 get_all_members(self): pare_d = {} for i in range(self.n): parent = self.find(i) pare_d.setdefault(parent,[]) pare_d[parent].append(i) return list(pare_d.values()) def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) def main(): n,m = list(map(int, input().split())) al = list(map(int, input().split())) uf = UnionFind(n) for _ in range(m): x,y = list(map(int, input().split())) uf.union(x,y) first_mins = [] other_vals = [] all_members = uf.get_all_members() if len(all_members) == 1: print((0)) exit() for members in all_members: vs = [] for m in members: vs.append(al[m]) vs.sort() first_mins.append(vs[0]) for i,v in enumerate(vs): if i > 0: other_vals.append(v) # print(first_mins) ans = 0 ans += sum(first_mins) rem = len(all_members)-2 if len(other_vals) < rem: print('Impossible') exit() other_vals.sort() ans += sum(other_vals[:rem]) print(ans) if __name__ == "__main__": main()
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 get_all_members(self): pare_d = {} for i in range(self.n): parent = self.find(i) pare_d.setdefault(parent,[]) pare_d[parent].append(i) return list(pare_d.values()) def __str__(self): return '\n'.join('{}: {}'.format(r, self.members(r)) for r in self.roots()) def main(): n,m = list(map(int, input().split())) al = list(map(int, input().split())) uf = UnionFind(n) for _ in range(m): x,y = list(map(int, input().split())) uf.union(x,y) first_mins = [] other_vals = [] all_members = uf.get_all_members() if len(all_members) == 1: print((0)) exit() for members in all_members: vs = [] for m in members: vs.append(al[m]) vs.sort() first_mins.append(vs[0]) for i,v in enumerate(vs[1:]): # if i > 0: other_vals.append(v) # print(first_mins) ans = 0 ans += sum(first_mins) rem = len(all_members)-2 if len(other_vals) < rem: print('Impossible') exit() other_vals.sort() ans += sum(other_vals[:rem]) print(ans) if __name__ == "__main__": main()
p03440
from collections import Counter, defaultdict import sys sys.setrecursionlimit(10 ** 5 + 10) input = sys.stdin.readline from math import factorial import heapq, bisect import math import itertools import queue from collections import deque parent_data = [] def union(ind): global parent_data if parent_data[ind] != ind: parent_data[ind] = union(parent_data[ind]) return parent_data[ind] def main(): node_num, edge_num = list(map(int, input().split())) cost_data = list(map(int, input().split())) data = [list(map(int, input().split())) for i in range(edge_num)] global parent_data parent_data = [i for i in range(node_num)] for i in range(edge_num): a, b = data[i] parent_a = union(a) parent_b = union(b) parent_data[min(parent_a, parent_b)] = max(parent_a, parent_b) parent_count = defaultdict(int) cost_heap = defaultdict(list) for i in range(node_num): parent_i = union(i) parent_count[parent_i] += 1 heapq.heappush(cost_heap[parent_i], cost_data[i]) parent_count = list(sorted(list(parent_count.items()), key=lambda x:-x[1])) ans = 0 ori_ind, ori_count = parent_count[0] for i in range(len(parent_count) - 1): now_ind, now_count = parent_count[i + 1] if len(cost_heap[ori_ind]) == 0: print('Impossible') sys.exit() ori_cost = heapq.heappop(cost_heap[ori_ind]) now_cost = heapq.heappop(cost_heap[now_ind]) ans += ori_cost + now_cost cost_heap[ori_ind] = list(heapq.merge(cost_heap[ori_ind], cost_heap[now_ind])) print(ans) if __name__ == '__main__': main()
from collections import Counter, defaultdict import sys sys.setrecursionlimit(10 ** 5 + 10) input = sys.stdin.readline from math import factorial import heapq, bisect import math import itertools import queue from collections import deque parent_data = [] def union(ind): global parent_data if parent_data[ind] != ind: parent_data[ind] = union(parent_data[ind]) return parent_data[ind] def main(): node_num, edge_num = list(map(int, input().split())) cost_data = list(map(int, input().split())) data = [list(map(int, input().split())) for i in range(edge_num)] global parent_data parent_data = [i for i in range(node_num)] for i in range(edge_num): a, b = data[i] parent_a = union(a) parent_b = union(b) parent_data[min(parent_a, parent_b)] = max(parent_a, parent_b) parent_count = defaultdict(int) cost_heap = defaultdict(list) for i in range(node_num): parent_i = union(i) parent_count[parent_i] += 1 heapq.heappush(cost_heap[parent_i], (cost_data[i], parent_i)) parent_count = list(sorted(list(parent_count.items()), key=lambda x:-x[1])) ans = 0 ori_ind, ori_count = parent_count[0] for i in range(len(parent_count) - 1): now_ind, now_count = parent_count[i + 1] if len(cost_heap[ori_ind]) == 0: print('Impossible') sys.exit() ori_cost, o_ind = heapq.heappop(cost_heap[ori_ind]) now_cost, n_ind = heapq.heappop(cost_heap[now_ind]) ans += ori_cost + now_cost if len(cost_heap[n_ind]) > 0: a, b = heapq.heappop(cost_heap[n_ind]) heapq.heappush(cost_heap[ori_ind], (a, b)) if len(cost_heap[o_ind]) > 0 and o_ind != ori_ind: a, b = heapq.heappop(cost_heap[o_ind]) heapq.heappush(cost_heap[ori_ind], (a, b)) print(ans) if __name__ == '__main__': main()
p03440
from collections import deque from collections import defaultdict import heapq N,M=list(map(int, input().split())) cost=list(map(int, input().split())) if M==N-1: print(0) quit() nl=[ [] for i in range(N) ] for i in range(M): x,y=list(map(int,input().split())) nl[x].append(y) nl[y].append(x) d=[ None for i in range(N) ] V=[ None for i in range(N) ] group_cost=defaultdict(lambda: []) def dfs(start): q = deque([]) V[start]=start d[start]=0 heapq.heappush(group_cost[start],cost[start]) q.append(start) while len(q)!=0: v=q.pop() for i in nl[v]: if V[i] is None: V[i]=start q.append(i) heapq.heappush(group_cost[start],cost[i]) for i in range(N): if V[i] is None: dfs(i) H = [] ans=0 for v in list(group_cost.values()): v=sorted(v) ans+=v[0] H.append(v[1:]) nokori_cost=list(heapq.merge(*H)) if N < 2*(N-M-1): print("Impossible") elif M == N-1: print(0) else: ans += sum(nokori_cost[:2*(N-M-1) - len(list(group_cost.keys()))]) print(ans)
from collections import deque from collections import defaultdict import heapq N,M=list(map(int, input().split())) cost=list(map(int, input().split())) par=[i for i in range(N)] def root(x): if par[x]==x: return x else: r=root(par[x]) par[x]=r return r def unite(x,y): x=root(x) y=root(y) if x==y: return par[x]=y for i in range(M): x,y=list(map(int,input().split())) unite(x,y) group_cost=defaultdict(lambda: []) for i in range(N): root(i) group_cost[par[i]].append(cost[i]) H = [] ans=0 for v in list(group_cost.values()): v=sorted(v) ans+=v[0] H.append(v[1:]) nokori_cost=list(heapq.merge(*H)) if N < 2*(N-M-1): print("Impossible") elif M == N-1: print(0) else: ans += sum(nokori_cost[:2*(N-M-1) - len(list(group_cost.keys()))]) print(ans)
p03440
def examA(): N = I() ans = 0 print(ans) return def examB(): ans = 0 print(ans) return def examC(): ans = 0 print(ans) return def examD(): ############################################################# class UnionFind(): def __init__(self, n): self.parent = [-1 for _ in range(n)] self.n = n # 正==子: 根の頂点番号 / 負==根: 連結頂点数 def find(self, x): # 要素xが属するグループの根を返す 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): # 要素xが属するグループと要素yが属するグループとを併合する x, y = self.find(x), self.find(y) if x == y: return False else: if self.size(x) < self.size(y): x, y = y, x self.parent[x] += self.parent[y] self.parent[y] = x def same(self, x, y): # 要素x, yが同じグループに属するかどうかを返す return self.find(x) == self.find(y) def size(self, x): # 要素xが属するグループのサイズ(要素数)を返す x = self.find(x) return -self.parent[x] def is_root(self, x): # 要素の根をリストで返す return self.parent[x] < 0 def roots(self): # すべての根の要素をリストで返す return [i for i, x in enumerate(self.parent) if x < 0] def members(self, x): # 要素xが属するグループに属する要素をリストで返す root = self.find(x) return [i for i in range(self.n) if self.find(i) == root] def group_count(self): # グループの数を返す return len(self.roots()) def all_group_members(self): # {ルート要素: [そのグループに含まれる要素のリスト], ...}の辞書を返す return {r: self.members(r) for r in self.roots()} ################################################################################ N, M = LI() a = LI() A = [] for i,j in enumerate(a): A.append([j,i]) A.sort() ans = 0 uf = UnionFind(N) for _ in range(M): x,y = LI() if not uf.same(x,y): uf.unite(x,y) D = defaultdict(list) que_tot = deque() rep = defaultdict(bool) r = uf.roots() for i in r: keep = -1 for j in uf.members(i): if not D[i] or D[i]>a[j]: D[i] = a[j] keep = j rep[keep] = True ans += D[i] # print(rep) loop = uf.group_count()-2 if loop==-1: print((0)) return cur = 0 for i in range(N): if cur>=loop: break if not rep[A[i][1]]: cur +=1 ans += A[i][0] if cur<loop: print("Impossible") return print(ans) return def examE(): ans = 0 print(ans) return def examF(): ans = 0 print(ans) return import sys,copy,bisect,itertools,heapq,math from heapq import heappop,heappush,heapify from collections import Counter,defaultdict,deque def I(): return int(sys.stdin.readline()) def LI(): return list(map(int,sys.stdin.readline().split())) def LFI(): return list(map(float,sys.stdin.readline().split())) def LSI(): return list(map(str,sys.stdin.readline().split())) def LS(): return sys.stdin.readline().split() def SI(): return sys.stdin.readline().strip() global mod,mod2,inf,alphabet mod = 10**9 + 7 mod2 = 998244353 inf = 10**18 alphabet = [chr(ord('a') + i) for i in range(26)] if __name__ == '__main__': examD() """ """
def examA(): N = I() ans = 0 print(ans) return def examB(): ans = 0 print(ans) return def examC(): ans = 0 print(ans) return def examD(): ############################################################# class UnionFind(): def __init__(self, n): self.parent = [-1 for _ in range(n)] self.n = n # 正==子: 根の頂点番号 / 負==根: 連結頂点数 def find(self, x): # 要素xが属するグループの根を返す 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): # 要素xが属するグループと要素yが属するグループとを併合する x, y = self.find(x), self.find(y) if x == y: return False else: if self.size(x) < self.size(y): x, y = y, x self.parent[x] += self.parent[y] self.parent[y] = x def same(self, x, y): # 要素x, yが同じグループに属するかどうかを返す return self.find(x) == self.find(y) def size(self, x): # 要素xが属するグループのサイズ(要素数)を返す x = self.find(x) return -self.parent[x] def is_root(self, x): # 要素の根をリストで返す return self.parent[x] < 0 def roots(self): # すべての根の要素をリストで返す return [i for i, x in enumerate(self.parent) if x < 0] def members(self, x): # 要素xが属するグループに属する要素をリストで返す root = self.find(x) return [i for i in range(self.n) if self.find(i) == root] def group_count(self): # グループの数を返す return len(self.roots()) def all_group_members(self): # {ルート要素: [そのグループに含まれる要素のリスト], ...}の辞書を返す return {r: self.members(r) for r in self.roots()} ################################################################################ N, M = LI() a = LI() ans = 0 uf = UnionFind(N) for _ in range(M): x,y = LI() if not uf.same(x,y): uf.unite(x,y) D = defaultdict(int) rep = defaultdict(bool) r = uf.roots() keep = [-1]*N for i in range(N): parent = uf.find(i) if (not D[parent]) or D[parent] > a[i]: D[parent] = a[i] keep[parent] = i for i in range(N): if keep[i]==-1: continue rep[keep[i]] = True ans += D[i] loop = uf.group_count()-2 if loop==-1: print((0)) return A = [] for i,j in enumerate(a): A.append([j,i]) A.sort() cur = 0 for i in range(N): if cur>=loop: break if not rep[A[i][1]]: cur +=1 ans += A[i][0] if cur<loop: print("Impossible") return print(ans) return def examE(): ans = 0 print(ans) return def examF(): ans = 0 print(ans) return import sys,copy,bisect,itertools,heapq,math from heapq import heappop,heappush,heapify from collections import Counter,defaultdict,deque def I(): return int(sys.stdin.readline()) def LI(): return list(map(int,sys.stdin.readline().split())) def LFI(): return list(map(float,sys.stdin.readline().split())) def LSI(): return list(map(str,sys.stdin.readline().split())) def LS(): return sys.stdin.readline().split() def SI(): return sys.stdin.readline().strip() global mod,mod2,inf,alphabet mod = 10**9 + 7 mod2 = 998244353 inf = 10**18 alphabet = [chr(ord('a') + i) for i in range(26)] if __name__ == '__main__': examD() """ """
p03440
(n,m),a,*q=[map(int,t.split())for t in open(0)] t=[-1]*n def r(x): while-1<t[x]:x=t[x] return x def u(x): x,y=map(r,x) if x!=y: if t[x]>t[y]:x,y=y,x t[x]+=t[y];t[y]=x [*map(u,q)] i=c=0 k,*b=n+~m<<1, *d,=eval('[],'*n) for v in a:d[r(i)]+=v,;i+=1 print(k<1and'0'or(k>n)*'Impossible'or exec('for p in d:x,*y=sorted(p)+[0];c+=x;b+=y[:-1];k-=p>[]')or c+sum(sorted(b)[:k]))
(n,m,*b),a,*q=[list(map(int,t.split()))for t in open(0)] t=[-1]*n def r(x): while-1<t[x]:x=t[x] return x def u(x): x,y=list(map(r,x)) if x!=y: if t[x]>t[y]:x,y=y,x t[x]+=t[y];t[y]=x [*list(map(u,q))] i=c=0 k=j=n+~m<<1 *d,=eval('[],'*n) for v in a:d[r(i)]+=v,;i+=1 for p in d:x,*y=sorted(p)+[0];c+=x;b+=y[:-1];j-=p>[] print((k<1and'0'or(k>n)*'Impossible'or c+sum(sorted(b)[:j])))
p03440
(n,m,*b),a,*q=[list(map(int,t.split()))for t in open(0)] t=[-1]*n def r(x): while-1<t[x]:x=t[x] return x def u(x): x,y=list(map(r,x)) if x-y: if t[x]>t[y]:x,y=y,x t[x]+=t[y];t[y]=x [*list(map(u,q))] i=c=0 k=j=n+~m<<1 *d,=eval('[],'*n) for v in a:d[r(i)]+=v,;i+=1 for p in d:x,*y=sorted(p)+[0];c+=x;b+=y[:-1];j-=p>[] print(((c+sum(sorted(b)[:j]),'Impossible')[k>n]*(k>0)))
(n,m,*b),a,*q=[list(map(int,t.split()))for t in open(0)] t=[-1]*n def r(x): while-1<t[x]:x=t[x] return x def u(x): x,y=list(map(r,x)) if x-y: if t[x]>t[y]:x,y=y,x t[x]+=t[y];t[y]=x [*list(map(u,q))] i=c=0 k=j=n+~m<<1 *d,=eval('[],'*n) for v in a:d[r(i)]+=v,;i+=1 for p in d: if p:x,*y=sorted(p);c+=x;b+=y;j-=1 print(((c+sum(sorted(b)[:j]),'Impossible')[k>n]*(k>0)))
p03440
s=sorted (n,m,*b),a,*q=[list(map(int,t.split()))for t in open(0)] t=[-1]*n def r(x): while-1<t[x]:x=t[x] return x def u(x): x,y=list(map(r,x)) if x-y: if t[x]>t[y]:x,y=y,x t[x]+=t[y];t[y]=x [*list(map(u,q))] i=c=0 k=j=n+~m<<1 *d,=eval('[],'*n) for v in a:d[r(i)]+=v,;i+=1 for p in d: if p:x,*y=s(p);c+=x;b+=y;j-=1 print(((c+sum(s(b)[:j]),'Impossible')[k>n]*(k>0)))
s=sorted (n,m,*b),a,*q=[list(map(int,t.split()))for t in open(0)] t=[-1]*n r=lambda x:r(t[x])if-1<t[x]else x def u(x): x,y=list(map(r,x)) if x-y: if t[x]>t[y]:x,y=y,x t[x]+=t[y];t[y]=x *list(map(u,q)), i=c=0 k=j=n+~m<<1 *d,=eval('[],'*n) for v in a:d[r(i)]+=v,;i+=1 for p in d: if p:x,*y=s(p);c+=x;b+=y;j-=1 print(((c+sum(s(b)[:j]),'Impossible')[k>n]*(k>0)))
p03440
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 unite(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(self): return [self.members(r) for r in 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()) import sys input = sys.stdin.readline import heapq n, m = list(map(int, input().split())) if m == n-1: print((0)) exit() if n < 2*(n-m-1): print("Impossible") exit() A = tuple(map(int, input().split())) uf = UnionFind(n) for _ in range(m): x, y = list(map(int, input().split())) uf.unite(x, y) ans = 0 L = [] for l in uf.all_group(): K = sorted((A[i] for i in l), reverse=True) ans += K.pop() for k in K: heapq.heappush(L, k) for _ in range(n-m-2): ans += heapq.heappop(L) print(ans)
import sys input = sys.stdin.readline sys.setrecursionlimit(10**7) import heapq n, m = list(map(int, input().split())) if m == n-1: print((0)) exit() if n < 2*(n-m-1): print("Impossible") exit() A = tuple(map(int, input().split())) G = [[] for _ in range(n)] for _ in range(m): x, y = list(map(int, input().split())) G[x].append(y) G[y].append(x) ans = 0 L = [] seen = [False]*n def dfs(v): global ans K = [] stack = [v] while stack: v = stack.pop() heapq.heappush(K, A[v]) seen[v] = True for nv in G[v]: if seen[nv]: continue stack.append(nv) ans += heapq.heappop(K) for k in K: heapq.heappush(L, k) for i in range(n): if not seen[i]: dfs(i) for _ in range(n-m-2): ans += heapq.heappop(L) print(ans)
p03440
N,M = list(map(int,input().split())) src = list(map(int,input().split())) es = [tuple(map(int,input().split())) for i in range(M)] if M == N-1: print((0)) exit() if M + N//2 < N-1: print('Impossible') exit() parent = [i for i in range(N)] rank = [0] * N def root(a): if parent[a] == a: return a else: parent[a] = root(parent[a]) return parent[a] def same(a,b): return root(a) == root(b) def unite(a,b): ra = root(a) rb = root(b) if ra == rb: return if rank[ra] < rank[rb]: parent[ra] = rb else: parent[rb] = ra if rank[ra] == rank[rb]: rank[ra] += 1 for a,b in es: unite(a,b) trees = {} for i in range(N): root(i) for i in range(N): trees[root(i)] = False costs = [] for i,c in enumerate(src): costs.append((c,i)) costs.sort() used = [False] * N ans = used_n = 0 for c,v in costs: t = root(v) if trees[t]: continue else: trees[t] = used[v] = True used_n += 1 ans += c for c,v in costs: if used_n == 2*(N-M-1): break if used[v]: continue used_n += 1 ans += c print(ans)
N,M = list(map(int,input().split())) src = list(map(int,input().split())) es = [tuple(map(int,input().split())) for i in range(M)] if M == N-1: print((0)) exit() if M + N//2 < N-1: print('Impossible') exit() parent = [i for i in range(N)] rank = [0] * N def root(a): if parent[a] == a: return a else: parent[a] = root(parent[a]) return parent[a] def same(a,b): return root(a) == root(b) def unite(a,b): ra = root(a) rb = root(b) if ra == rb: return if rank[ra] < rank[rb]: parent[ra] = rb else: parent[rb] = ra if rank[ra] == rank[rb]: rank[ra] += 1 for a,b in es: unite(a,b) trees = {} for i in range(N): trees[root(i)] = False costs = [] for i,c in enumerate(src): costs.append((c,i)) costs.sort() used = [False] * N ans = used_n = 0 for c,v in costs: t = root(v) if trees[t]: continue else: trees[t] = used[v] = True used_n += 1 ans += c for c,v in costs: if used_n == 2*(N-M-1): break if used[v]: continue used_n += 1 ans += c print(ans)
p03440
N = int(eval(input())) print(((N + 1) // 2)) #sjdjsdajkjkafffjfjfjfjfjjfjf
n = int(eval(input())) if n % 2 == 0: print((n//2)) else: print((n//2 + 1))
p02759
import math n = int(eval(input())) print((math.ceil(n/2)))
n = int(eval(input())) print((int((n+1)/2)))
p02759
N = int(eval(input())) print(((N+1)>>1))
print(((int(eval(input()))+1)//2))
p02759
import math print((math.ceil(int(eval(input()))/2)))
print(((int(eval(input()))+1)//2))
p02759
n=int(eval(input())) if n%2==1: print((n//2+1)) else: print((n//2))
n=int(eval(input())) print(((n+1)//2))
p02759
from math import ceil print((ceil(int(eval(input()))/2)))
print((-~int(eval(input()))//2))
p02759
import math N=int(eval(input())) print((math.ceil(N/2)))
print(((int(eval(input()))+1)//2))
p02759
import math print((math.ceil(int(eval(input()))/2)))
print(((-int(eval(input()))//2)*-1))
p02759
import math N=int(eval(input())) print((math.ceil(N/2)))
N=int(eval(input())) print((N//2+N%2))
p02759
import sys sr = lambda: sys.stdin.readline().rstrip() ir = lambda: int(sr()) lr = lambda: list(map(int, sr().split())) N = ir() answer = (N+1) // 2 print(answer)
# coding: utf-8 import sys sr = lambda: sys.stdin.readline().rstrip() ir = lambda: int(sr()) lr = lambda: list(map(int, sr().split())) N = ir() answer = (N+1) // 2 print(answer)
p02759
S = int(eval(input())) A = 0 if S % 2 == 1: A = S // 2 + 1 else: A = S // 2 print(A)
N = int(eval(input())) #数字 print((N // 2 if N % 2 == 0 else N // 2 + 1))
p02759
import itertools import math import fractions import functools n = int(eval(input())) if n % 2 == 1: print((n//2+1)) else: print((n//2))
n = int(eval(input())) print(((n+1)//2))
p02759
N = int(eval(input())) if N%2==0: print((N//2)) else: print((N//2 + 1))
N = int(eval(input())) print(((N+1)//2))
p02759