input
stringlengths
20
127k
target
stringlengths
20
119k
problem_id
stringlengths
6
6
from operator import itemgetter n,m = list(map(int,input().split())) AB = [] sAB = [] s = 0 c = 0 for i in range(n): AB.append(list(map(int,input().split()))) sAB = sorted(AB,key=itemgetter(0)) for i,(a,b) in enumerate(sAB): if c + b < m: c += b s += a*b elif c + b >= m: for j in range(b): if c < m: c += 1 s += a else: break print(s)
n,m=list(map(int,input().split())) ab=[] for i in range(n): a,b=list(map(int,input().split())) ab.append((a,b)) ab.sort(key=lambda x: x[0]) ans=0 t=10**10 for a,b in ab: t=min(b,m) if t<=0:break m-=t ans+=a*t print(ans)
p03103
n,m = list(map(int,input().split())) d = [None]*n for i in range(n): a,b = list(map(int,input().split())) d[i] = [a,b] d.sort(key=lambda x: x[0]) ryoukin = 0 cnt = 0 for lst in d: for i in range(lst[1]): ryoukin += lst[0] cnt += 1 if cnt == m: break if cnt == m: break print(ryoukin)
n,m = list(map(int,input().split())) d = [None]*n for i in range(n): a,b = list(map(int,input().split())) d[i] = [a,b] d.sort(key=lambda x: x[0]) ryoukin = 0 cnt = 0 for lst in d: for i in range(lst[1]): ryoukin += lst[0] cnt += 1 if cnt == m: break else: continue break print(ryoukin)
p03103
n,m = list(map(int,input().split())) d = [None]*n for i in range(n): a,b = list(map(int,input().split())) d[i] = [a,b] d.sort(key=lambda x: x[0]) ryoukin = 0 cnt = 0 for lst in d: for i in range(lst[1]): ryoukin += lst[0] cnt += 1 if cnt == m: print(ryoukin) exit()
import sys n,m = list(map(int,input().split())) d = [None]*n for i in range(n): a,b = list(map(int,input().split())) d[i] = [a,b] d.sort(key=lambda x: x[0]) ryoukin = 0 cnt = 0 for lst in d: for i in range(lst[1]): ryoukin += lst[0] cnt += 1 if cnt == m: print(ryoukin) sys.exit()
p03103
n, m = list(map(int, input().split())) data = [] for i in range(n): a, b = list(map(int, input().split())) data.append([a, b]) data.sort(key=lambda x: x[0]) #値段でソート prices = [] for p in data: for i in range(p[1]): prices.append(p[0]) print((sum(prices[:m])))
n, m = list(map(int, input().split())) data = [] #値段、個数 for i in range(n): a, b = list(map(int, input().split())) data.append([a, b]) data.sort(key=lambda x: x[0]) #値段でソート ans = 0 for p in data: ans += p[0] * min(m, p[1]) m -= p[1] if m <= 0: break print(ans)
p03103
N , M = list(map(int,input().split())) drink = [] for _ in range(N): a , b = list(map(int,input().split())) drink.append([a,b]) drink.sort() value = 0 hold = 0 while hold != M: if drink[0][1] == 0: drink.pop(0) value += drink[0][0] hold += 1 drink[0][1] -= 1 print(value)
N, M = list(map(int, input().split())) shops = list(list(map(int, input().split())) for _ in range(N)) shops.sort() ans = 0 for value, count in shops: tmp_M = max(M - count , 0) ans += (M - tmp_M) * value M = tmp_M if M == 0: break print(ans)
p03103
from sys import stdin n,m = [int(x) for x in stdin.readline().rstrip().split()] li = [list(map(int,stdin.readline().rstrip().split())) for _ in range(n)] li.sort(key=lambda x:(x[0],x[1])) cost = 0 while m > 0: if li[0][1] > 0: cost += li[0][0] li[0][1] -= 1 m -= 1 else: li.pop(0) print(cost)
from sys import stdin n,m = list(map(int,stdin.readline().rstrip().split())) li = [list(map(int,stdin.readline().rstrip().split())) for _ in range(n)] li.sort() yen = 0 for i in li: j,k = i if k >= m: yen += j*m break yen += j*k m -= k print(yen)
p03103
s = input().split() N = int(s[0]) M = int(s[1]) AB = {} for i in range(N): data = input().split() if int(data[0]) in list(AB.keys()): AB[int(data[0])] += int(data[1]) else: AB[int(data[0])] = int(data[1]) AB = sorted(AB.items()) money = 0 num = 0 for A,B in AB: for b in range(B): num += 1 money += A if num == M: break if num == M: break print((int(money)))
s = input().split() N = int(s[0]) M = int(s[1]) AB = {} for i in range(N): data = input().split() if int(data[0]) in list(AB.keys()): AB[int(data[0])] += int(data[1]) else: AB[int(data[0])] = int(data[1]) AB = sorted(AB.items()) money = 0 num = 0 for A,B in AB: if num+B < M: money += A*B num += B elif num+B == M: money += A*B break elif num+B > M: money += A*(M-num) break print((int(money)))
p03103
def main(): n, m = list(map(int, input().split())) ab = [tuple(map(int, input().split())) for _ in range(n)] ab.sort() ans = 0 for i, j in ab: if m < j: ans += i*m break m -= j ans += i*j print(ans) main()
import sys input = sys.stdin.readline def main(): n, m = list(map(int, input().split())) ab = [tuple(map(int, input().split())) for _ in range(n)] ab.sort() ans = 0 for i, j in ab: if m < j: ans += i*m break m -= j ans += i*j print(ans) main()
p03103
N,M=list(map(int,input().split())) yen=[] hon=[] for i in range(N): a,b=list(map(int,input().split())) yen.append(a) hon.append(b) loop=True pay=0 while loop: mise=yen.index(min(yen)) value=yen[mise] stock=hon[mise] if M>stock: pay+=stock*value else: pay+=M*value M-=stock del yen[mise] del hon[mise] if M<=0: loop=False print(pay)
N,M=list(map(int,input().split())) mises=[] for i in range(N): mises.append(list(map(int,input().split()))) mises.sort() pay=0 for i in mises: if i[1]<M: pay+=i[0]*i[1] M-=i[1] else: pay+=i[0]*M break print(pay)
p03103
def is_prime(x): # Perform prime number discrimination for odd numbers of 3 or more. return pow(2, x - 1, x) == 1 def solve(): n = int(input()) ans = [] print("{}: ".format(n), end='') while n % 2 == 0: n //= 2 ans.append(2) d = 3 while n >= d: if is_prime(d): while n % d == 0: n //= d ans.append(d) d += 2 print(*ans) solve()
def is_prime(x): if x == 1: return False elif x == 2: return True elif x % 2 == 0: return False l = x ** 0.5 n = 3 while n <= l: if x % n == 0: return False n += 2 return True def solve(): n = int(input()) print("{}: ".format(n), end='') ans = [] while n % 2 == 0: n //= 2 ans.append(2) d = 3 while n >= d: if is_prime(d): while n % d == 0: n //= d ans.append(d) if is_prime(n): ans.append(n) break d += 2 print(*ans) solve()
p02467
def is_prime(x): if x == 1: return False elif x == 2: return True elif x % 2 == 0: return False l = x ** 0.5 n = 3 while n <= l: if x % n == 0: return False n += 2 return True def solve(): n = int(input()) print("{}: ".format(n), end='') ans = [] while n % 2 == 0: n //= 2 ans.append(2) d = 3 while n >= d: if is_prime(d): while n % d == 0: n //= d ans.append(d) if is_prime(n): ans.append(n) break d += 2 print(*ans) solve()
def is_prime(x): # Perform prime number discrimination for odd numbers of 3 or more. return pow(2, x - 1, x) == 1 def solve(): n = int(input()) print("{}: ".format(n), end='') if is_prime(n): print(n) else: ans = [] while n % 2 == 0: n //= 2 ans.append(2) d = 3 while d <= n ** 0.5: if is_prime(d): while n % d == 0: n //= d ans.append(d) d += 2 if is_prime(n): ans.append(n) print(*ans) solve()
p02467
N = int(input()) n = N m = N ** 0.5 L = [] i = 3 print(str(N) + ': ', end = '') while n%2 == 0: n = n/2 L.append(2) while i <= N: while n%i == 0: n = n/i L.append(i) i += 2 #if len(L) == 0: # L.append(N) print(' '.join(map(str, L)))
N = int(input()) n = N m = N ** 0.5 L = [] i = 3 print(str(N) + ': ', end = '') while n%2 == 0: n = n/2 L.append(2) while i <= m: while n%i == 0: n = n/i L.append(i) i += 2 if n not in L: L.append(int(n)) if 1 in L: L.remove(1) if len(L) == 0: L.append(N) print(' '.join(map(str, L)))
p02467
# -*- coding:utf-8 -*- n = int(input()) print(str(n)+':',end='') array = [] count = 0 while True: for i in range(2,n+1): if n%i == 0 and i != n: array.append(i) n = int(n/i) break if i == n: count += 1 break if count == 5: break array.append(n) for i in range(len(array)): print(' ',array[i],sep = '',end='') print('')
# -*- coding:utf-8 -*- n = int(input()) print(str(n)+':',end='') array = [] count = 0 while True: if n == 999993031: break for i in range(2,n+1): if n%i == 0 and i != n: array.append(i) n = int(n/i) break if i == n: count += 1 break if count == 24: break array.append(n) for i in range(len(array)): print(' ',array[i],sep = '',end='') print('')
p02467
n = int(eval(input())) orig_n = n res=[] i = 2 half_n = n // 2 root_n = int(n ** (1/2)) is_prime = True while i <= (root_n): if orig_n % i == 0: is_prime = False break while i <= half_n and not(is_prime): if n ==1: break if n % i == 0: n = n // i res.append(i) i = 1 i += 1 print(("{0}: {1}".format(orig_n, " ".join(map(str, res)))))
n = int(eval(input())) orig_n = n res=[] i = 2 half_n = n // 2 root_n = int(n ** (1/2)) is_prime = True while i <= (root_n): if orig_n % i == 0: is_prime = False break i += 1 if is_prime: res.append(orig_n) while i <= half_n and not(is_prime): if n ==1: break if n % i == 0: n = n // i res.append(i) i = 1 i += 1 print(("{0}: {1}".format(orig_n, " ".join(map(str, res)))))
p02467
#! -*- coding: utf-8-unix -*- import sys # if __name__=='__main__': # lines = [int(x.strip()) for x in sys.stdin.readlines()] # print lines # n = lines[0] # for i in xrange(n): # # a, b = int(lines[i+1]), int(lines[i+2]) # a, b = lines[2*i+1], lines[2*i+2] # if len(str(a+b)) > 80: # print 'overflow' # else: # print a+b if __name__=='__main__': # lines = [int(x.strip()) for x in sys.stdin.readlines()] # n = lines[0] n = eval(input()) for i in range(n): # a, b = int(lines[i+1]), int(lines[i+2]) # a, b = lines[2*i+1], lines[2*i+2] a, b = eval(input()), eval(input()) if len(str(a+b)) > 80: print('overflow') else: print(a+b)
import sys if __name__=='__main__': lines = [int(x.strip()) for x in sys.stdin.readlines() if x != '' and x != '\n'] n = lines[0] for i in range(n): a, b = lines[2*i+1], lines[2*i+2] if len(str(a+b)) > 80: print('overflow') else: print(a+b)
p00015
import math n = int(eval(input())); for i in range(n): num1 = int(eval(input())); num2 = int(eval(input())); total = num1 + num2; if len(str(total)) > 80: print("overflow"); else: print(total);
import math n = int(eval(input())); for i in range(0,n): num1 = int(eval(input())); num2 = int(eval(input())); total = num1 + num2; if len(str(total)) > 80: print("overflow"); else: print(total);
p00015
# AOJ 0015 National Budget # Python3 2018.6.9 bal4u n = int(eval(input())) for i in range(n): a = str(eval(input())) b = str(eval(input())) if len(a) > 80 or len(b) > 80: print('overflow') else: s = str(int(a)+int(b)) if len(s) <= 80: print(s) else: print('overflow')
# AOJ 0015 National Budget # Python3 2018.6.9 bal4u n = int(eval(input())) for i in range(n): s = int(eval(input())) + int(eval(input())) if len(str(s)) <= 80: print(s) else: print('overflow')
p00015
s="overflow" n=eval(input()) for i in range(n): a=input() b=input() if len(a)>80 or len(b)>80: print(s) else: tmp=int(a)+int(b) if len(str(tmp))>80: print(s) else: print(tmp)
m=10**80 n=eval(input()) for i in range(n): s="overflow" a=eval(input()) b=eval(input()) if a<m and b<m: tmp=a+b if tmp<m: s=tmp print(s)
p00015
import sys;sys.setrecursionlimit(10**9) class UnionFind: def __init__(self,n): self.n=[-1]*n self.r=[0]*n self.siz=n def find_root(self,x): if self.n[x]<0: return x else: self.n[x]=self.find_root(self.n[x]) return self.n[x] def unite(self,x,y): x=self.find_root(x) y=self.find_root(y) if x==y:return elif self.r[x]>self.r[y]: self.n[x]+=self.n[y] self.n[y]=x else: self.n[y]+=self.n[x] self.n[x]=y if self.r[x]==self.r[y]: self.r[y]+=1 self.siz-=1 def root_same(self,x,y): return self.find_root(x)==self.find_root(y) def count(self,x): return -self.n[self.find_root(x)] def size(self): return self.siz from collections import defaultdict n,x,y=map(int,input().split()) mod=10**9+7 f=[1] for i in range(1,n+7):f.append(f[-1]*i%mod) cw=[list(map(int,input().split()))for _ in range(n)] if n==1:exit(print(1)) if len(set(c for c,w in cw))==1:exit(print(1)) for i in range(n):cw[i][0]-=1 miw=[10**10]*n miwi=[0]*n for i in range(n): c,w=cw[i] if miw[c]>w: miw[c]=w miwi[c]=i mminc=miw.index(min(miw)) temp=10**10 for i in range(n): if i!=mminc:temp=min(temp,miw[i]) sminc=miw.index(temp) u=UnionFind(n) for i in range(n): c,w=cw[i] if c==mminc:tc=sminc else:tc=mminc if miw[c]+w<=x:u.unite(miwi[c],i) if miw[tc]+w<=y:u.unite(miwi[tc],i) d=[0]*n for i in range(n): if i==u.find_root(i):d[i]=defaultdict(int) for i in range(n): c,w=cw[i] d[u.find_root(i)][c]+=1 ans=1 for i in range(n): if i==u.find_root(i): anss=1 co=0 for j in d[i]: anss*=pow(f[d[i][j]],mod-2,mod) anss%=mod co+=d[i][j] anss*=f[co] ans=(ans*anss)%mod print(ans)
#-----UnionFind-----(0-indexed) import sys;sys.setrecursionlimit(10**9) class UnionFind: def __init__(self,n): self.n=[-1]*n self.r=[0]*n self.siz=n def find_root(self,x): if self.n[x]<0: return x else: self.n[x]=self.find_root(self.n[x]) return self.n[x] def unite(self,x,y): x=self.find_root(x) y=self.find_root(y) if x==y:return elif self.r[x]>self.r[y]: self.n[x]+=self.n[y] self.n[y]=x else: self.n[y]+=self.n[x] self.n[x]=y if self.r[x]==self.r[y]: self.r[y]+=1 self.siz-=1 def root_same(self,x,y): return self.find_root(x)==self.find_root(y) def count(self,x): return -self.n[self.find_root(x)] def size(self): return self.siz from collections import defaultdict n,x,y=map(int,input().split()) mod=10**9+7 f=[1] for i in range(1,n+7):f.append(f[-1]*i%mod) cw=[list(map(int,input().split()))for _ in range(n)] if n==1:exit(print(1)) if len(set(c for c,w in cw))==1:exit(print(1)) for i in range(n):cw[i][0]-=1 miw=[10**10]*n miwi=[0]*n for i in range(n): c,w=cw[i] if miw[c]>w: miw[c]=w miwi[c]=i mminc=miw.index(min(miw)) temp=10**10 for i in range(n): if i!=mminc:temp=min(temp,miw[i]) sminc=miw.index(temp) u=UnionFind(n) for i in range(n): c,w=cw[i] if c==mminc:tc=sminc else:tc=mminc if miw[c]+w<=x:u.unite(miwi[c],i) if miw[tc]+w<=y:u.unite(miwi[tc],i) d=[0]*n for i in range(n): if i==u.find_root(i):d[i]=defaultdict(int) for i in range(n): c,w=cw[i] d[u.find_root(i)][c]+=1 ans=1 for i in range(n): if i==u.find_root(i): anss=1 co=0 for j in d[i]: anss*=pow(f[d[i][j]],mod-2,mod) anss%=mod co+=d[i][j] anss*=f[co] ans=(ans*anss)%mod print(ans)
p03770
import heapq from collections import defaultdict from functools import lru_cache from bisect import bisect_right while True: N, M, C, S, G = list(map(int, input().split())) if N == M == C == S == G == 0: # 駅の数、路線の数10000、鉄道会社の数20、出発駅、目的地駅 break E = [[[] for _ in range(N + 1)] for _ in range(C + 1)] D = [[[float("inf")] * (N + 1) for _ in range(N + 1)] for _ in range(C + 1)] for _ in range(M): x, y, d, c = list(map(int, input().split())) # d<=200 D[c][x][y] = min(D[c][x][y], d) D[c][y][x] = min(D[c][x][y], d) P = list(map(int, input().split())) # <= 50 Q = [] R = [] for _ in range(C): Q.append(list(map(int, input().split())) + [1 << 30]) R.append(list(map(int, input().split()))) cum_fare = [] for c_ in range(C): fare_ = [0] res = 0 q_p = 0 for q, r in zip(Q[c_][:-1], R[c_][:-1]): res += (q - q_p) * r q_p = q fare_.append(res) cum_fare.append(fare_) @lru_cache(maxsize=None) def fare(d_, c_): if d_==float("inf"): return float("inf") c_ -= 1 idx = bisect_right(Q[c_], d_) #print(c_, idx, cum_fare[c_], R[c_]) return cum_fare[c_][idx] + (R[c_][0] * d_ if idx==0 else (d_ - Q[c_][idx-1]) * R[c_][idx]) DD = [[float("inf")] * (N + 1) for _ in range(N + 1)] for c in range(1, C + 1): D_ = D[c] for k in range(1, N + 1): for i in range(1, N + 1): for j in range(1, N + 1): d_ = D_[i][k] + D_[k][j] if D_[i][j] > d_: D_[i][j] = d_ # print(D_) for i in range(1, N + 1): for j in range(1, N + 1): DD[i][j] = min(DD[i][j], fare(D_[i][j], c)) # print(DD) dist = defaultdict(lambda: float("inf")) q = [] start = S dist[start] = 0 heapq.heappush(q, (0, start)) while len(q) != 0: prob_cost, v = heapq.heappop(q) # print(prob_cost, v) if dist[v] < prob_cost: continue if v == G: print(prob_cost) break for u, c in enumerate(DD[v]): if dist[u] > dist[v] + c: dist[u] = dist[v] + c heapq.heappush(q, (dist[u], u)) else: print((-1))
import heapq from collections import defaultdict from functools import lru_cache from bisect import bisect_right while True: N, M, C, S, G = list(map(int, input().split())) if N == M == C == S == G == 0: # 駅の数、路線の数10000、鉄道会社の数20、出発駅、目的地駅 break #E = [[[] for _ in range(N + 1)] for _ in range(C + 1)] D = [[[float("inf")] * (N + 1) for _ in range(N + 1)] for _ in range(C + 1)] CE = [set() for _ in range(C+1)] for _ in range(M): x, y, d, c = list(map(int, input().split())) # d<=200 D[c][x][y] = min(D[c][x][y], d) D[c][y][x] = min(D[c][x][y], d) CE[c].add(x) CE[c].add(y) P = list(map(int, input().split())) # <= 50 Q = [] R = [] for _ in range(C): Q.append(list(map(int, input().split())) + [1 << 30]) R.append(list(map(int, input().split()))) cum_fare = [] for c_ in range(C): fare_ = [0] res = 0 q_p = 0 for q, r in zip(Q[c_][:-1], R[c_][:-1]): res += (q - q_p) * r q_p = q fare_.append(res) cum_fare.append(fare_) @lru_cache(maxsize=None) def fare(d_, c_): if d_==float("inf"): return float("inf") c_ -= 1 idx = bisect_right(Q[c_], d_) #print(c_, idx, cum_fare[c_], R[c_]) return cum_fare[c_][idx] + (R[c_][0] * d_ if idx==0 else (d_ - Q[c_][idx-1]) * R[c_][idx]) DD = [[float("inf")] * (N + 1) for _ in range(N + 1)] for c in range(1, C + 1): D_ = D[c] l = list(CE[c]) for k in l: for i in l: for j in l: d_ = D_[i][k] + D_[k][j] if D_[i][j] > d_: D_[i][j] = d_ # print(D_) for i in l: for j in l: DD[i][j] = min(DD[i][j], fare(D_[i][j], c)) # print(DD) dist = defaultdict(lambda: float("inf")) q = [] start = S dist[start] = 0 heapq.heappush(q, (0, start)) while len(q) != 0: prob_cost, v = heapq.heappop(q) # print(prob_cost, v) if dist[v] < prob_cost: continue if v == G: print(prob_cost) break for u, c in enumerate(DD[v]): if dist[u] > dist[v] + c: dist[u] = dist[v] + c heapq.heappush(q, (dist[u], u)) else: print((-1))
p00763
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 10**9+7 dd = [(0,-1),(1,0),(0,1),(-1,0)] ddn = [(0,-1),(1,-1),(1,0),(1,1),(0,1),(-1,-1),(-1,0),(-1,1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): n,m,k = LI() d = LI() v = [LI() for _ in range(n)] u = set() ds = set(d) u.add(tuple(d)) q = [(tuple(d), 1)] while q: qd, qk = q.pop(0) for vi in range(k): t = set() for di in qd: t.add(v[di-1][vi]) t &= ds tt = tuple(t) if tt in u: continue if len(tt) == 0: return qk u.add(tt) q.append((tt,qk+1)) return -1 print(main())
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 10**9+7 dd = [(0,-1),(1,0),(0,1),(-1,0)] ddn = [(0,-1),(1,-1),(1,0),(1,1),(0,1),(-1,-1),(-1,0),(-1,1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): n,m,k = LI() d = LI_() v = [LI_() for _ in range(n)] dd = collections.defaultdict(lambda: None) for i in range(m): dd[d[i]] = i vv = [] for c in d: vv.append([dd[v[c][i]] for i in range(k)]) vvv = [[vv[i][j] for i in range(m)] for j in range(k)] u = set() m2 = 2**m u.add(m2-1) q = [(m2-1, 1)] ii = [2**_ for _ in range(m)] # print('vv',vv) while q: qd, qk = q.pop(0) # print('q', qd,qk) qdi = [di for di in range(m) if qd & ii[di]] for vi in range(k): t = 0 vvi = vvv[vi] for di in qdi: if not vvi[di] is None: t |= ii[vvi[di]] # print('vit',vi,t) if t in u: continue if t == 0: return qk u.add(t) q.append((t,qk+1)) return -1 print(main())
p01812
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 10**9+7 dd = [(0,-1),(1,0),(0,1),(-1,0)] ddn = [(0,-1),(1,-1),(1,0),(1,1),(0,1),(-1,-1),(-1,0),(-1,1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): n,m,k = LI() d = LI_() v = [LI_() for _ in range(n)] dd = collections.defaultdict(lambda: None) for i in range(m): dd[d[i]] = i vv = [] for c in d: vv.append([dd[v[c][i]] for i in range(k)]) vvv = [[vv[i][j] for i in range(m)] for j in range(k)] u = set() m2 = 2**m u.add(m2-1) q = [(m2-1, 1)] ii = [2**_ for _ in range(m)] # print('vv',vv) while q: qd, qk = q.pop(0) # print('q', qd,qk) qdi = [di for di in range(m) if qd & ii[di]] for vi in range(k): t = 0 vvi = vvv[vi] for di in qdi: if not vvi[di] is None: t |= ii[vvi[di]] # print('vit',vi,t) if t in u: continue if t == 0: return qk u.add(t) q.append((t,qk+1)) return -1 print(main())
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 10**9+7 dd = [(0,-1),(1,0),(0,1),(-1,0)] ddn = [(0,-1),(1,-1),(1,0),(1,1),(0,1),(-1,-1),(-1,0),(-1,1)] def LI(): return [int(x) for x in sys.stdin.readline().split()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def main(): n,m,k = LI() d = LI_() v = [LI_() for _ in range(n)] dd = collections.defaultdict(lambda: None) for i in range(m): dd[d[i]] = i ii = [2**_ for _ in range(m)] vv = [[ii[dd[v[c][i]]] if not dd[v[c][i]] is None else 0 for c in d] for i in range(k)] m2 = 2**m u = [None] * m2 u[-1] = 1 q = [m2-1] r = 0 while q: r += 1 nq = [] for qd in q: qdi = [di for di in range(m) if qd & ii[di]] for vi in range(k): t = 0 vvi = vv[vi] for di in qdi: t |= vvi[di] if not u[t] is None: continue if t == 0: return r u[t] = 1 nq.append(t) q = nq return -1 print(main())
p01812
n=int(eval(input())) a=list(map(int,input().split())) k=0 b=[] for i in range(0,n+1): k+=a[i]*pow(2,n-i) b.append(k) if k>pow(2,n): print((-1)) else: current=0 ans=0 for i in range(0,n+1): current+=a[n-i] if i==n: ans+=1 else: s=(pow(2,n)-b[n-i-1])//pow(2,i) if (s+1)*pow(2,i)<=pow(2,n)-b[n-i-1]: s+=1 current=min(current,s) current=min(current,pow(2,n-i)) ans+=current print(ans)
n=int(eval(input())) a=list(map(int,input().split())) k=0 N=sum(a) failflag=0 node=1 min1=[] min2=[] for i in range(0,n+1): node=node*2-a[i] if i==0: node=1-a[0] node=min(node,N) min1.append(node+a[i]) if node<0: failflag=1 if failflag==1: print((-1)) else: current=0 for i in range(0,n+1): current+=a[n-i] min2.append(current) min2.reverse() ans=0 for i in range(0,n+1): ans+=min(min1[i],min2[i]) print(ans)
p02665
import sys input = sys.stdin.readline from collections import * N = int(eval(input())) A = list(map(int, input().split())) low = [0]*(N+1) high = [0]*(N+1) low[N] = A[N] high[N] = A[N] if A[N]>2**N: print((-1)) exit() for i in range(N-1, -1, -1): low[i] = (low[i+1]+1)//2+A[i] high[i] = high[i+1]+A[i] lim = 2**i if low[i]>lim: print((-1)) exit() high[i] = min(high[i], lim) now = 1 ans = now #print(low) #print(high) for i in range(N): now = min(high[i+1], 2*now) ans += now now -= A[i+1] print(ans)
import sys input = sys.stdin.readline N = int(eval(input())) A = list(map(int, input().split())) low = [0]*(N+1) high = [0]*(N+1) low[N] = A[N] high[N] = A[N] for i in range(N-1, -1, -1): low[i] = (low[i+1]+1)//2+A[i] high[i] = high[i+1]+A[i] if not low[0]<=1<=high[0]: print((-1)) exit() ans = 1 now = 1 for i in range(N): now = min(2*(now-A[i]), high[i+1]) ans += now print(ans)
p02665
N, *A = list(map(int, open(0).read().split())) cnt = [0] * (N + 1) cnt[0] = 1 for i in range(N): cnt[i + 1] = (cnt[i] - A[i]) * 2 ans = 0 cur = 0 for i in reversed(list(range(N + 1))): cur += A[i] ans += min(cnt[i], cur) if all(cnt[i] >= A[i] for i in range(N + 1)): print(ans) else: print((-1))
N = int(eval(input())) X = list(map(int, input().split())) cnt = [0] * (N + 1) cnt[0] = 1 for i in range(N): cnt[i + 1] = (cnt[i] - X[i]) * 2 ans = 0 cur = 0 for i in reversed(list(range(N + 1))): cur += X[i] ans += min(cnt[i], cur) if all(cnt[i] >= X[i] for i in range(N + 1)): print(ans) else: print((-1))
p02665
n=int(eval(input())) a=list(map(int,input().split())) tot=sum(a) v=[1] for q in a: tot-=q v.append(min(2*(v[-1]-q),tot)) if all([u>=0 for u in v]): print((sum(v))) else: print((-1))
n,*a=list(map(int,open(0).read().split())) tot=sum(a) v=[1] for q in a: tot-=q vt=min(2*(v[-1]-q),tot) if vt<0: print((-1)) exit() v.append(vt) print((sum(v)))
p02665
import sys input = sys.stdin.readline n = int(eval(input())) a = list(map(int, input().split())) pos = [pow(2, i) - a[i] for i in range(n+1)] for i in range(n): pos[i+1] = pos[i] * 2 - a[i+1] for i in range(n+1): if pos[i] < 0: print((-1)) exit() cnt = a[-1] memo = 0 for i in range(n-1, -1, -1): cnt += min(pos[i], memo + a[i+1]) + a[i] memo = min(pos[i], memo + a[i+1]) print(cnt)
import sys input = sys.stdin.readline n = int(eval(input())) a = list(map(int, input().split())) pos = [0 for i in range(n+1)] pos[0] = 1 - a[0] for i in range(n): pos[i+1] = pos[i] * 2 - a[i+1] for i in range(n+1): if pos[i] < 0: print((-1)) exit() cnt = a[-1] memo = 0 for i in range(n-1, -1, -1): cnt += min(pos[i], memo + a[i+1]) + a[i] memo = min(pos[i], memo + a[i+1]) print(cnt)
p02665
N=int(eval(input())) A=list(map(int,input().split()))[::-1] def f(A): nodes=[] for i in list(range(len(A))): t = len(A)-i-1 if i == 0: if 2**t < A[i]: return -1 nodes.append(A[i]) else: tmp = min(nodes[-1] + A[i],2**t) anchor = (tmp-A[i])*2 if anchor < nodes[-1]: flag = True for j in range(len(nodes))[::-1]: if anchor < nodes[j]: nodes[j] = anchor anchor = (nodes[j]-A[j])*2 else: flag = False break if flag : return -1 nodes.append(tmp) return sum(nodes) print((f(A)))
N = int(eval(input())) A = list(map(int, input().split())) def solve(A): ans = 0 leaves = sum(A) prev_node_capacity = 1 for ai in A: if ai > prev_node_capacity: return -1 ans += min(prev_node_capacity, leaves) leaves -= ai prev_node_capacity -= ai prev_node_capacity *= 2 return ans print((solve(A)))
p02665
# coding: utf-8 def solve(*args: str) -> str: n = int(args[0]) A = list(map(int, args[1].split())) if 0 < A[0]: return '1' if n == 0 and A[0] == 1 else '-1' R = [0]*(n+1) R[0] = 1 for i in range(1, n+1): R[i] = 2*(R[i-1]-A[i-1]) prev = 0 ret = 0 for i in range(n, -1, -1): if R[i] < A[i]: ret = -1 break prev = min(R[i], A[i]+prev) ret += prev return str(ret) if __name__ == "__main__": print((solve(*(open(0).read().splitlines()))))
# coding: utf-8 def solve(*args: str) -> str: n = int(args[0]) A = list(map(int, args[1].split())) rem = sum(A) cur = 1 ret = 0 for a in A: cur = min(rem, cur) rem -= a ret += cur cur = 2*(cur-a) if cur < 0: ret = -1 break return str(ret) if __name__ == "__main__": print((solve(*(open(0).read().splitlines()))))
p02665
#!/usr/bin/env python3 import sys def solve(N: int, A: "List[int]"): if N==0: if A[0] == 1: print((1)) else: print((-1)) return prev = 0 leafs = 0 ans = 0 for i, a in enumerate(A): leafs = leafs*2 + a rem = pow(2,i) - leafs k = min(rem,sum(A[i+1:])) # print(A[i+1:]) # print(k) ans+=k # print(leafs) rem = pow(2,N) - leafs if rem<0: print((-1)) return print((ans+sum(A))) return # Generated by 1.1.7.1 https://github.com/kyuridenamida/atcoder-tools (tips: You use the default template now. You can remove this line by using your custom template) def main(): def iterate_tokens(): for line in sys.stdin: for word in line.split(): yield word tokens = iterate_tokens() N = int(next(tokens)) # type: int A = [int(next(tokens)) for _ in range(N - 0 + 1)] # type: "List[int]" solve(N, A) if __name__ == '__main__': main()
#!/usr/bin/env python3 import sys def solve(N: int, A: "List[int]"): if N==0: if A[0] == 1: print((1)) else: print((-1)) return s = [0]*(N+1) s[N] = A[N] for i in range(N-1, -1, -1): s[i] = s[i+1] + A[i] leafs = 0 ans = 0 for i, a in enumerate(A): leafs = leafs*2 + a rem = pow(2,i) - leafs if i<N: # print(sum(A[i+1:]), s[i+1]) k = min(rem, s[i+1]) ans+=k # print(leafs) rem = pow(2,N) - leafs if rem<0: print((-1)) return print((ans+sum(A))) return # Generated by 1.1.7.1 https://github.com/kyuridenamida/atcoder-tools (tips: You use the default template now. You can remove this line by using your custom template) def main(): def iterate_tokens(): for line in sys.stdin: for word in line.split(): yield word tokens = iterate_tokens() N = int(next(tokens)) # type: int A = [int(next(tokens)) for _ in range(N - 0 + 1)] # type: "List[int]" solve(N, A) if __name__ == '__main__': main()
p02665
import math #import numpy as np import queue from collections import deque,defaultdict import heapq from sys import stdin,setrecursionlimit #from scipy.sparse.csgraph import dijkstra #from scipy.sparse import csr_matrix ipt = stdin.readline setrecursionlimit(10**7) def main(): n = int(ipt()) a = [int(i) for i in ipt().split()] if n == 0 and a[0] == 0: print((-1)) exit() elif n == 0 and a[0] == 1: print((1)) exit() elif n == 0 and a[0] > 1: print((-1)) exit() suma = sum(a) ans = a[0] can = 1 for i,ai in enumerate(a): if ai > can: print((-1)) exit() suma -= ai ans += can if (can-ai)*2 >= suma: can = suma else: can = (can-ai)*2 print(ans) return if __name__ == '__main__': main()
import math #import numpy as np import queue from collections import deque,defaultdict import heapq from sys import stdin,setrecursionlimit #from scipy.sparse.csgraph import dijkstra #from scipy.sparse import csr_matrix ipt = stdin.readline setrecursionlimit(10**7) def main(): n = int(ipt()) a = [int(i) for i in ipt().split()] suma = sum(a) ans = 0 can = 1 for i,ai in enumerate(a): if ai > can: print((-1)) exit() suma -= ai ans += can if (can-ai)*2 >= suma: can = suma else: can = (can-ai)*2 print(ans) return if __name__ == '__main__': main()
p02665
#!/usr/bin/env python3 import sys import math from bisect import bisect_right as br from bisect import bisect_left as bl from collections import defaultdict from itertools import accumulate from collections import Counter from collections import deque from operator import itemgetter from itertools import permutations mod = 10**9 + 7 inf = float('inf') def I(): return int(sys.stdin.readline()) def LI(): return list(map(int,sys.stdin.readline().split())) n = I() a = LI() if n == 0: if a[0] == 1 or a[0] == 0: print((1)) quit() else: print((-1)) quit() for i in range(n): if a[i] > 2**i - 1: print((-1)) quit() if a[-1] > 2**n: print((-1)) quit() lst = [1] for i in range(1, n+1): l = lst[-1] - a[i-1] if l <= 0: print((-1)) quit() lst.append(2*l) if lst[-1] - a[-1] < 0: print((-1)) quit() i = n-1 tmp = a[-1] ans = 0 lst2 = [a[-1]] while i >= 0: tmp += a[i] tmp = min(tmp, 2**i) lst2.append(tmp) i -= 1 lst2 = lst2[::-1] for i in range(n+1): ans += min(lst[i], lst2[i]) print(ans)
#!/usr/bin/env python3 import sys import math from bisect import bisect_right as br from bisect import bisect_left as bl from collections import defaultdict from itertools import accumulate from collections import Counter from collections import deque from operator import itemgetter from itertools import permutations mod = 10**9 + 7 inf = float('inf') def I(): return int(sys.stdin.readline()) def LI(): return list(map(int,sys.stdin.readline().split())) n = I() a = LI() L = [1] if a[-1] > 2**n: print((-1)) quit() if n == 0: if a[0] == 0: print((-1)) quit() L2 = [a[-1]] for i in range(n)[::-1]: L2.append(min(L2[-1] + a[i], 2**i)) L2 = L2[::-1] ans = 0 for i in range(n+1): if i == 0: tmp = 1 else: tmp = (L[-1] - a[i-1]) * 2 if tmp <= 0: print((-1)) quit() ans += min(tmp, L2[i]) L.append(tmp) if L[-1] - a[-1] < 0: print((-1)) quit() print(ans)
p02665
def main(): N = int( eval(input())) A = list( map( int, input().split())) root = 1 if A[0] == 1: if N == 0: print((1)) else: print((-1)) return B = A[::-1] low = high = B[0] # Low = [] Hight = [high] Low = [low] for b in B[1:]: low = max(1, (low+1)//2) + b high = high + b Hight.append(high) Low.append(low) if low > 1: print((-1)) return ans = 1 now = 1 BHight = Hight[::-1] BLow = Low[::-1] for i in range(1,N+1): high = BHight[i] low = BLow[i] if high < now or now*2 < low: print((-1)) return leaf = A[i] now = min(high, now*2) ans += now now -= leaf print(ans) if __name__ == '__main__': main()
#import sys #input = sys.stdin.readline def main(): N = int( eval(input())) A = list( map( int, input().split())) root = 1 if A[0] == 1: if N == 0: print((1)) else: print((-1)) return B = A[::-1] low = high = B[0] # Low = [] Hight = [high] for b in B[1:]: low = max(1, (low+1)//2) + b high = high + b Hight.append(high) if low > 1: print((-1)) return ans = 1 now = 1 BHight = Hight[::-1] for i in range(1,N+1): h = BHight[i] leaf = A[i] # print("h",h) now = min(h, now*2) ans += now now -= leaf # print(now) print(ans) if __name__ == '__main__': main()
p02665
n = int(eval(input())) A = list(map(int, input().split())) if n==0: print((1 if A[0] == 1 else -1)) exit() if A[0]!=0: print((-1)) exit() node1=[0]*(n+1) node1[0]=1 node2=[0]*(n+1) node2[0]=1 node2[-1]=A[-1] for i in range(n): x=(node1[i]-A[i])*2 node1[i+1]=x for i in range(n,0,-1): x=(node2[i]+A[i-1]) node2[i-1]=x ans=[] for i in range(n+1): x=min(node1[i],node2[i]) if x<A[i]: print((-1)) exit() ans.append(x) print((sum(ans)))
n = int(eval(input())) A = list(map(int, input().split())) if n==0: print((1 if A[0] == 1 else -1)) exit() if A[0]>0: print((-1)) exit() if A[-1]>2**n: print((-1)) exit() node1=[0]*(n+1) node1[0]=1 node2=[0]*(n+1) node2[-1]=A[-1] for i in range(n): x=(node1[i]-A[i])*2 if x<1: print((-1)) exit() node1[i+1]=x #print(node1) for i in range(n-1,-1,-1): x=(node2[i+1]+A[i]) node2[i]=x ans=[] for i in range(n+1): x=min(node1[i],node2[i]) if x<A[i]: print((-1)) exit() ans.append(x) print((sum(ans)))
p02665
from math import ceil def a(): N = int(eval(input())) A = list(map(int,input().split())) INF = 10**13 if N == 0: if A[0] == 1: return 1 else: return -1 BMAX = [INF] * (N+1) BMIN = [1] * (N+1) a = 1 for i in range(N+1): BMAX[i] = min(BMAX[i] , a - A[i]) a = BMAX[i] * 2 BMAX[N] = 0 BMIN[0] = 1 BMIN[N] = 0 for i in range(N-1,-1,-1): BMAX[i] = min(BMAX[i],BMAX[i+1]+A[i+1]) BMIN[i] = max(BMIN[i],ceil((BMIN[i+1]+A[i+1])/2)) for i in range(1,N+1): BMAX[i] = min(BMAX[i],BMAX[i-1]*2-A[i]) BMIN[i] = max(BMIN[i],BMIN[i-1]-A[i]) ans = 0 for i in range(0,N+1): if BMIN[i] > BMAX[i]: return -1 ans += (BMAX[i] + A[i]) return ans print((a()))
from math import ceil def a(): N = int(eval(input())) A = list(map(int,input().split())) INF = 10**13 if N == 0: if A[0] == 1: return 1 else: return -1 BMAX = [INF] * (N+1) BMIN = [1] * (N+1) BMAX[0] = 1 - A[0] BMAX[N] = 0 BMIN[0] = 1 BMIN[N] = 0 for i in range(N-1,-1,-1): BMAX[i] = min(BMAX[i],BMAX[i+1]+A[i+1]) BMIN[i] = max(BMIN[i],ceil((BMIN[i+1]+A[i+1])/2)) if BMIN[0] > BMAX[0]: return -1 for i in range(1,N+1): BMAX[i] = min(BMAX[i],BMAX[i-1]*2-A[i]) BMIN[i] = max(BMIN[i],BMIN[i-1]-A[i]) if BMIN[i] > BMAX[i]: return -1 return sum(BMAX)+sum(A) print((a()))
p02665
from collections import defaultdict as dd import bisect from sys import exit n = int(eval(input())) A = list(map(int, input().split())) coutner = 0 dp = dd(int) dp[1] = 1 limit = [0] * (n + 1) total = 0 for i in range(n, -1, -1): total += A[i] limit[i] = total #print(limit) for depth in range(n): mov_dic = dd(lambda: 0) for now_num, total in list(dp.items()): if now_num - A[depth] > 0: mov_dic[now_num - A[depth]] = total #print("mov_dic", mov_dic) dp = dd(int) mov_dic_keys = set(mov_dic.keys()) for now_num, total in list(mov_dic.items()): mov_dic_keys.remove(now_num) for next_num in range(now_num, min(now_num*2 + 1, limit[depth] + 1)): if now_num in mov_dic_keys: break dp[next_num] = max(total + next_num, dp[next_num]) #print(limit[depth], "dp", dp) if dp[A[-1]] == 0: print((-1)) else: print((dp[A[-1]]))
from collections import defaultdict as dd import bisect from sys import exit n = int(eval(input())) A = list(map(int, input().split())) coutner = 0 dp = dd(int) dp[1] = 1 limit = [0] * (n + 1) total = 0 for i in range(n, -1, -1): total += A[i] limit[i] = total #print(limit) """ for depth in range(n): mov_dic = dd(lambda: 0) for now_num, total in dp.items(): if now_num - A[depth] > 0: mov_dic[now_num - A[depth]] = total #print("mov_dic", mov_dic) dp = dd(int) mov_dic_keys = set(mov_dic.keys()) for now_num, total in mov_dic.items(): mov_dic_keys.remove(now_num) for next_num in range(now_num, min(now_num*2 + 1, limit[depth] + 1)): if now_num in mov_dic_keys: break dp[next_num] = max(total + next_num, dp[next_num]) #print(limit[depth], "dp", dp) if dp[A[-1]] == 0: print(-1) else: print(dp[A[-1]]) """ if n == 0: if A[0] == 1: print((1)) else: print((-1)) exit() now_num = 1 now_total = 1 for depth in range(n): mov_num = now_num - A[depth] #print(mov_num) if mov_num > 0: now_num = min(mov_num * 2, limit[depth+1]) now_total += now_num else: print((-1)) exit() if now_num == A[n]: print(now_total) else: print((-1))
p02665
N = int(eval(input())) *A, = list(map(int, input().split())) Asum = [a for a in A] for i in range(N-1, -1, -1): Asum[i] += Asum[i+1] ans = 0 v = 1 # 子になれる頂点数 for i in range(N+1): if v < A[i]: ans = -1 break ans += v p = v-A[i] if i < N: if p > Asum[i+1]: ans = -1 break v = min(Asum[i+1], 2*p) print(ans)
N = int(eval(input())) *A, = list(map(int, input().split())) Asum = [a for a in A] for i in range(N-1, -1, -1): Asum[i] += Asum[i+1] ans = 0 v = 1 # 子になれる頂点数 for i in range(N+1): if v < A[i]: ans = -1 break ans += v p = v-A[i] if i < N: v = min(Asum[i+1], 2*p) print(ans)
p02665
def main(): eval(input()) A = list(map(int, input().split())) cusum = [0] * len(A) cusum[-1] = A[-1] if A[0] > 1: print((-1)) return for i in range(len(A)-2, -1, -1): cusum[i] = cusum[i+1] + A[i] pre_node = 1 ans = 1 for i in range(1, len(A)): node = (pre_node - A[i-1]) * 2 if node < A[i]: print((-1)) return pre_node = min(node, cusum[i]) ans += pre_node print(ans) if __name__ == '__main__': main()
def main(): eval(input()) in_a = list(map(int, input().split())) leaves = [0] * len(in_a) leaves[-1] = in_a[-1] if in_a[0] > 1: print((-1)) return for i in range(len(in_a)-2, -1, -1): leaves[i] = leaves[i+1] + in_a[i] node = 1 total = 1 for i in range(1, len(in_a)): n = (node - in_a[i-1]) * 2 if n < in_a[i]: print((-1)) return node = min(n, leaves[i]) total += node print(total) if __name__ == '__main__': main()
p02665
n = int(eval(input())) a = list(map(int, input().split())) if n == 0 and a[0] == 0: print((-1)) exit() if n != 0 and a[0] >= 1: print((-1)) exit() if n == 0 and a[0] >= 2: print((-1)) exit() ar = list(reversed(a)) #print(ar) com = [ar[0]] for i in range(n): com.append(com[i] + ar[i+1]) #print(com) com.reverse() ans = 1 val = 1 for i in range(1,n+1): val *= 2 ans += min(val,com[i]) val -= a[i] if (i < n and val <= 0) or (i == n and val < 0): print((-1)) exit() print(ans)
n = int(eval(input())) a = list(map(int, input().split())) ar = list(reversed(a)) #print(ar) com = [ar[0]] for i in range(n): com.append(com[i] + ar[i+1]) #print(com) com.reverse() ans = 0 val = 1 for i in range(n+1): ans += min(val,com[i]) val -= a[i] if (i < n and val <= 0) or (i == n and val < 0) or (i == n and a[i] == 0): print((-1)) exit() val *= 2 print(ans)
p02665
def Csum(a): b,c=[0],0 for i in range(len(a)): c+=a[i] b.append(c) return b n=int(eval(input())) a=list(map(int,input().split())) s=Csum(a) su=sum(a) b=1 c=0 for i in range(n+1): c+=b b-=a[i] if b<=0: if i==n and b==0: break print((-1)) exit() b=min(b*2,su-s[i+1]) print(c)
#全体的な方針 #浅いほうから貪欲に頂点を倍化していく #現在見ている段の頂点数がそれより深い段の葉の数を超えると余ってしまう #よって、minで押さえつける必要がある(累積和で高速化が必要) #累積和の定義 def Csum(a): b,c=[],0 for i in range(len(a)): c+=a[i] b.append(c) return b #n:二分木の深さ #a:それぞれの段数の葉の数 #s:aの累積和をとったもの(その深さよりも浅い葉の数) #su:aの総和(全体の葉の数) #b:現在の深さの頂点数 #c:現在までの頂点数 n=int(eval(input())) a=list(map(int,input().split())) s,su,b,c=Csum(a),sum(a),1,0 for i in range(n+1): #頂点数カウントに現在の段を加算 #葉の数だけ親の候補を減らしておく c+=b b-=a[i] #最後まで頂点を使い切ったならcを出力 #途中で頂点が足りなくなったら-1を出力 if b<=0: if i==n and b==0: print(c) else: print((-1)) break #次の段の頂点数の更新 #iより深い葉の数(su-s[i])を超えないようにする b=min(b*2,su-s[i])
p02665
n = int(eval(input())) a = list(map(int,input().split())) cumsum_a = a.copy() for i in range(n-1, -1, -1): cumsum_a[i] += cumsum_a[i+1] ans = 0 childable_node = 1 for i in range(n + 1): if a[i] > childable_node: ans = -1 break ans += childable_node if i < n: b_max1 = 2 * (childable_node - a[i]) b_max2 = cumsum_a[i + 1] childable_node = min(b_max1, b_max2) print(ans)
n = int(eval(input())) a = list(map(int,input().split())) cumsum_a = a.copy() for i in range(n-1, -1, -1): cumsum_a[i] += cumsum_a[i+1] ans = 0 node = 1 for i in range(n + 1): if a[i] > node: ans = -1 break ans += node if i < n: node = min(2 * (node - a[i]), cumsum_a[i + 1]) print(ans)
p02665
n = int(eval(input())) leaves = list(map(int, input().split())) ans = 0 nodes_min = [0] * (n + 1) nodes_max = [0] * (n + 1) nodes_min[n] = leaves[n] nodes_max[n] = leaves[n] for depth in range(n, 0, -1): root_min = nodes_min[depth] // 2 + nodes_min[depth] % 2 nodes_min[depth - 1] = leaves[depth - 1] + root_min root_max = nodes_max[depth] nodes_max[depth - 1] = leaves[depth - 1] + root_max nodes = [0] * (n + 1) nodes[0] = 1 if nodes[0] < nodes_min[0]: print((-1)) else: for depth in range(n): roots = nodes[depth]-leaves[depth] nodes[depth + 1] = min(roots * 2, nodes_max[depth + 1]) if nodes[depth+1] < nodes_min[depth+1]: print((-1)) break else: print((sum(nodes)))
n = int(eval(input())) leaves = list(map(int, input().split())) sum_leaves = [0]*(n+1) sum_leaves[0] = leaves[0] for depth in range(n): sum_leaves[depth+1] = sum_leaves[depth] + leaves[depth+1] ans = 0 root = [None] * (n + 1) if n == 0: root[0] = 0 else: root[0] = 1 if root[0] + leaves[0] != 1: print((-1)) else: for depth in range(n): root[depth+1] = min(2*root[depth]-leaves[depth+1], sum_leaves[n]-sum_leaves[depth+1]) if root[depth + 1] < root[depth] - leaves[depth + 1] or root[depth+1] < 0: print((-1)) break else: print((sum(root)+sum(leaves)))
p02665
(N,) = [int(x) for x in input().split()] A = [int(x) for x in input().split()] numLeafs = A minNonLeafs = [None for i in range(N + 1)] maxNonLeafs = [None for i in range(N + 1)] maxNonLeafs[0] = 1 for i in range(1, N + 1): maxNonLeafs[i] = 2 * maxNonLeafs[i - 1] - numLeafs[i] minNonLeafs[N] = 0 maxNonLeafs[N] = 0 if minNonLeafs[N] + numLeafs[N] > 2 ** N: print((-1)) exit() for i in range(N - 1, -1, -1): minNonLeafs[i] = (minNonLeafs[i + 1] + numLeafs[i + 1] + 1) // 2 if minNonLeafs[i] + numLeafs[i] > 2 ** i: print((-1)) exit() maxNonLeafs[i] = min(maxNonLeafs[i], maxNonLeafs[i + 1] + numLeafs[i + 1]) if minNonLeafs[i] > maxNonLeafs[i]: print((-1)) exit() count = 0 for i in range(N + 1): count += maxNonLeafs[i] + numLeafs[i] print(count)
(N,) = [int(x) for x in input().split()] A = [int(x) for x in input().split()] numLeafs = A if not (0 <= numLeafs[0] <= 1): print((-1)) exit() # Bound max non-leaves by how many expansions the previous level can do maxNonLeafs = [None for i in range(N + 1)] maxNonLeafs[0] = 1 - numLeafs[0] for i in range(1, N + 1): maxNonLeafs[i] = 2 * maxNonLeafs[i - 1] - numLeafs[i] if maxNonLeafs[i] < 0: print((-1)) exit() # Tighten max non-leaves by how many available children are on next level maxNonLeafs[N] = 0 for i in range(N - 1, -1, -1): maxNonLeafs[i] = min(maxNonLeafs[i], maxNonLeafs[i + 1] + numLeafs[i + 1]) count = 0 for i in range(N + 1): count += maxNonLeafs[i] + numLeafs[i] print(count)
p02665
import math def main(): depth = int(eval(input())) leaves = [int(x) for x in input().split()] nodes_range = [None] * (depth + 1) for i in range(depth, -1, -1): if i == depth: nodes_range[i] = (leaves[i], leaves[i]) continue min_nodes = math.ceil(nodes_range[i + 1][0] / 2) + leaves[i] max_nodes = nodes_range[i + 1][1] + leaves[i] nodes_range[i] = (min_nodes, max_nodes) if not (nodes_range[0][0] <= 1 <= nodes_range[0][1]): # 根が1を取り得ない場合は実現不可能。 print((-1)) return max_noded_tree = [0] * (depth + 1) for i in range(depth + 1): if i == 0: max_noded_tree[i] = 1 continue max_noded_tree[i] = min( (max_noded_tree[i - 1] - leaves[i - 1]) * 2, nodes_range[i][1]) print((sum(max_noded_tree))) return if __name__ == '__main__': main()
import math def main(): depth = int(eval(input())) leaves = [int(x) for x in input().split()] nodes_range = [None] * (depth + 1) for i in range(depth, -1, -1): if i == depth: nodes_range[i] = (leaves[i], leaves[i]) continue # 枝をなるべくまとめていく。 min_nodes = math.ceil(nodes_range[i + 1][0] / 2) + leaves[i] # 枝が結合せず,平行に遡る感じ。 max_nodes = nodes_range[i + 1][1] + leaves[i] nodes_range[i] = (min_nodes, max_nodes) if nodes_range[0][0] != 1: # 根が1を取り得ない場合は実現不可能。 print((-1)) return max_noded_tree = [0] * (depth + 1) for i in range(depth + 1): if i == 0: max_noded_tree[i] = 1 continue max_noded_tree[i] = min( (max_noded_tree[i - 1] - leaves[i - 1]) * 2, nodes_range[i][1]) print((sum(max_noded_tree))) return if __name__ == '__main__': main()
p02665
from functools import reduce from math import ceil n = int(eval(input())) a = list(map(int, input().split())) bottom_n_list = [(0, 0) for _ in range(n + 1)] bottom_n_list[n] = (a[n], a[n]) for i in range(n-1, -1, -1): leaf_num = a[i] min_a_node_num = ceil(bottom_n_list[i + 1][0] / 2) max_a_node_num = min(bottom_n_list[i + 1][1], 2 ** i - leaf_num) if max_a_node_num < min_a_node_num: print((-1)) exit() bottom_n_list[i] = (min_a_node_num + leaf_num, max_a_node_num + leaf_num) top_n_list = [0]*(n+1) if 1 < bottom_n_list[0][0] or bottom_n_list[0][1] < 1: print((-1)) exit() top_n_list[0] = 1 for i in range(1, n+1): top_n_list[i] = min(bottom_n_list[i][1], (top_n_list[i-1]-a[i-1])*2) ans = reduce(lambda a, b: a+b, top_n_list) print(ans)
from math import ceil n = int(eval(input())) a = list(map(int, input().split())) bottom_n_list = [(0, 0) for _ in range(n + 1)] bottom_n_list[n] = (a[n], a[n]) for i in range(n-1, -1, -1): leaf_num = a[i] min_a_node_num = ceil(bottom_n_list[i + 1][0] / 2) max_a_node_num = min(bottom_n_list[i + 1][1], 2 ** i - leaf_num) if max_a_node_num < min_a_node_num: print((-1)) exit() bottom_n_list[i] = (min_a_node_num + leaf_num, max_a_node_num + leaf_num) top_n_list = [0]*(n+1) if 1 < bottom_n_list[0][0] or bottom_n_list[0][1] < 1: print((-1)) exit() top_n_list[0] = 1 ans = 1 for i in range(1, n+1): top_n_list[i] = min(bottom_n_list[i][1], (top_n_list[i-1]-a[i-1])*2) ans += top_n_list[i] print(ans)
p02665
N=int(eval(input())) A=[int(i) for i in input().split()] a=[1-A[0]] if a[0]<0: print((-1)) exit() for k in range(N): ak=a[-1] a.append(2*ak-A[k+1]) if a[-1]<0: print((-1)) exit() if a[-1]>10**17: break M=len(a) for k in range(N,0,-1): if k-1<M: A[k-1]=A[k-1]+min(A[k],a[k-1]) else: A[k-1]=A[k-1]+A[k] print((sum(A)))
N=int(eval(input())) A=[int(i) for i in input().split()] #len(A)=N+1 ak=1-A[0] if ak<0: print((-1)) exit() a=[ak] k=0 while(ak>=0 and k<N): ak=2*ak-A[k+1] a.append(ak) if ak<0: print((-1)) exit() if ak>=10**14: #以降に関わらず構成可能 break k+=1 #print(a) M=len(a) for k in range(N,0,-1): if k<=M: A[k-1]+=min(A[k],a[k-1]) else: A[k-1]+=A[k] continue print((sum(A))) #print(A)
p02665
N = int(eval(input())) A = list(map(int, input().split())) rng = [[A[N], A[N]]] for i in range(N - 1, -1, -1): merged = (rng[-1][0] + 1) // 2 + A[i] nonmerged = rng[-1][1] + A[i] rng.append([merged, nonmerged]) if rng[-1][0] > 1: print((-1)) exit() rng.reverse() prev_non_leaf = 1 ans = 1 for i in range(1, N + 1): l, u = rng[i] ans += min(prev_non_leaf * 2, u) prev_non_leaf = prev_non_leaf * 2 - A[i] print(ans)
N = int(eval(input())) A = list(map(int, input().split())) rng = [[A[N], A[N]]] for i in range(N - 1, -1, -1): merged = (rng[-1][0] + 1) // 2 + A[i] nonmerged = rng[-1][1] + A[i] rng.append([merged, nonmerged]) if rng[-1][0] > 1: print((-1)) exit() rng.reverse() prev_non_leaf = 1 ans = 1 for i in range(1, N + 1): _, u = rng[i] ans += min(prev_non_leaf * 2, u) prev_non_leaf = prev_non_leaf * 2 - A[i] print(ans)
p02665
n = int(eval(input())) a = list(map(int, input().split())) ans = 0 nonleaf_nodes = [] current = 1 for depth in range(0, n+1): c = current-a[depth] if c < 0: # 目いっぱい頂点を増やしても葉が足りない print((-1)) exit() nonleaf_nodes.append(c) current = c*2 nonleaf_nodes[-1]=0 ans = a[-1] for depth in range(n-1, -1, -1): nonleaf_nodes[depth] = min(nonleaf_nodes[depth], nonleaf_nodes[depth+1]+a[depth+1]) ans += nonleaf_nodes[depth] + a[depth] print(ans)
n = int(eval(input())) a = list(map(int, input().split())) ans = 0 nonleaf_nodes = [] current = 1 # とりあえず増やせるだけ頂点を増やしていく for depth in range(0, n+1): c = current-a[depth] # 目いっぱい頂点を増やしても葉を賄えない場合、木を作れない if c < 0: print((-1)) exit() nonleaf_nodes.append(c) current = c*2 nonleaf_nodes[-1]=0 # 余計な頂点を最深層から削除していく # 下位層の葉を含む頂点数を超えると上位層で葉が増えるのでNG ans = a[-1] for depth in range(n-1, -1, -1): nonleaf_nodes[depth] = min(nonleaf_nodes[depth], nonleaf_nodes[depth+1]+a[depth+1]) ans += nonleaf_nodes[depth] + a[depth] print(ans)
p02665
import os from collections import defaultdict N = int(eval(input())) A = list(map(int, input().split(" "))) pow2 = defaultdict(int) ret = 0 lim = [] for i in range(N+1): pow2[i] = 2**i for i in range(N+1): if i == 0: r = 2**i - A[i] else: r = 2*lim[i-1] - A[i] if r < 0: print((-1)) exit(0) lim.append(r) for d in reversed(list(range(N+1))): if A[d] > pow2[d]: print((-1)) exit(0) if d == N: n = min(A[d], pow2[d]) else: n = min(A[d] + min(n, lim[d]), pow2[d]) ret +=n print(ret)
import os from collections import defaultdict N = int(eval(input())) A = list(map(int, input().split(" "))) pow2 = defaultdict(int) ret = 0 lim = [0] * (N + 1) # for i in range(N + 1): # pow2[i] = 2 ** i for i in range(N + 1): if i == 0: r = 1 - A[i] else: r = 2 * lim[i - 1] - A[i] if r < 0: print((-1)) exit(0) lim[i] = r for d in reversed(list(range(N + 1))): # if A[d] > pow2[d]: # print(-1) # exit(0) if d == N: #n = min(A[d], pow2[d]) n = A[d] else: #n = min(A[d] + min(n, lim[d]), pow2[d]) n = A[d] + min(n, lim[d]) ret += n print(ret)
p02665
#import numpy as np import sys, math from itertools import permutations, combinations from collections import defaultdict, Counter, deque from math import factorial#, gcd from bisect import bisect_left #bisect_left(list, value) sys.setrecursionlimit(10**7) enu = enumerate MOD = 10**9+7 def input(): return sys.stdin.readline()[:-1] pl = lambda x: print(*x, sep='\n') N = int(input()) A = list(map(int, input().split())) lenA = len(A) cnt = 1 node = [1]*N # from functools import lru_cache # @lru_cache(None) def f(depth, leaf, nodec): # print(depth, leaf, nodec) if depth == N: # print(' ', depth, leaf, nodec) if leaf == A[depth]: # OK! print(nodec) exit() return else: # NG return # NG if leaf < A[depth]: return 0 # OK not_leaf = leaf - A[depth] for j in range(not_leaf*2, not_leaf-1, -1): f(depth+1, j, nodec+j) f(0, 1, 1) print(-1)
# import numpy as np import sys, math, heapq from itertools import permutations, combinations from collections import defaultdict, Counter, deque from math import factorial, gcd from bisect import bisect_left, bisect_right sys.setrecursionlimit(10 ** 7) MOD = 10 ** 9 + 7 input = lambda: sys.stdin.readline()[:-1] pl = lambda x: print(*x, sep="\n") N = int(input()) A = list(map(int, input().split())) if N == 0: if A[0] == 1: print(1) exit() else: print(-1) exit() if N != 0 and A[0] > 0: print(-1) exit() rcA = [0] * (N) rcA[-1] = A[-1] for i in range(1, N): rcA[-i - 1] = rcA[-i] + A[-i - 1] # print(rcA) cnt = 1 node = 1 for a, rca in zip(A, rcA): min_node = node - a max_node = 2 * (node - a) if rca < min_node or min_node < 0: print(-1) exit() node = min(max_node, rca) # print(node) cnt += node if node != A[-1]: print(-1) exit() print(cnt)
p02665
N = int(eval(input())) A = list(map(int, input().split())) capacity = [1 for k in range(N+1)] cut = 0 for k in range(N+1): #print(capacity) if A[k] >= capacity[k] and k!= N: print((-1)) break if A[k] > capacity[k] and k == N: print((-1)) break if k < N: capacity[k+1] = 2*(capacity[k] - A[k]) if k == N: ans = [0 for k in range(N+1)] ans[0] =1 for m in range(N+1): ans[m] = min(capacity[m], sum(A[m:N+1])) print((sum(ans)))
N = int(eval(input())) A = list(map(int, input().split())) capacity = [1 for k in range(N+1)] cut = 0 for k in range(N+1): #print(capacity) if A[k] >= capacity[k] and k!= N: print((-1)) break if A[k] > capacity[k] and k == N: print((-1)) break if k < N: capacity[k+1] = 2*(capacity[k] - A[k]) if k == N: ans = [0 for k in range(N+1)] ans[0] =1 sumA = 0 for m in range(1, N+2): sumA += A[-m] ans[-m] = min(capacity[-m], sumA) print((sum(ans)))
p02665
N = int(eval(input())) A = list(map(int, input().split())) if N == 0 and A[0] == 1: print((1)) else: nodes = [0]*(N+1) s_d = 0 # 飽和してないノードが残ってる深さ cap_d = 1 - A[0] failed = False for i, a in enumerate(A): # a個の葉をなるべく浅いノードから取る while a > 0: # これ以上分岐することろがなければ失敗 if i < s_d or cap_d <= 0: failed = True break # s_dから枝を取れるだけ取る x = min(cap_d - nodes[s_d], a) a -= x nodes[s_d:i+1] = [node + x for node in nodes[s_d:i+1]] # s_dがいっぱいになったら深さを一つ進める if nodes[s_d] >= cap_d: cap_d -= A[s_d] cap_d *= 2 s_d += 1 if failed: break print((-1 if failed else sum(nodes)))
N = int(eval(input())) A = list(map(int, input().split())) cap = [[0, 0] for _ in range(N+1)] cap[-1] = [A[-1], A[-1]] for i in range(N-1,-1,-1): cap[i][0] = (cap[i+1][0] + 2 - 1)//2 cap[i][1] = cap[i+1][1] + A[i] ans = 1 nodes = 1 failed = nodes < cap[0][0] for i in range(N): nodes = min((nodes - A[i])*2, cap[i+1][1]) if nodes < cap[i+1][0]: failed = True break ans += nodes print((-1 if failed else ans))
p02665
import sys import itertools N = int(eval(input())) A = list(input().split()) A = [int(A[i]) for i in range(N+1)] MAX = [2**i for i in range(N+1)] A_inter = list(reversed(list(itertools.accumulate(reversed(A))))) for i in range(N+1): if A[i] > MAX[i]: print((-1)) sys.exit() elif i != N: MAX[i+1] = (MAX[i] - A[i]) * 2 print((sum([min(MAX[i], A_inter[i]) for i in range(N+1)])))
import sys import itertools N = int(eval(input())) A = list(input().split()) A = [int(A[i]) for i in range(N+1)] MAX = [1 for i in range(N+1)] A_inter = list(reversed(list(itertools.accumulate(reversed(A))))) for i in range(N+1): if A[i] > MAX[i]: print((-1)) sys.exit() elif i != N: MAX[i+1] = (MAX[i] - A[i]) * 2 print((sum([min(MAX[i], A_inter[i]) for i in range(N+1)])))
p02665
N = int(eval(input())) A = list(map(int, input().split())) d = [1] * (N+1) d[0] -= A[0] for i in range(N): d[i+1] = d[i] * 2 - A[i+1] if d[-1] < 0: print((-1)) exit() else: d[-1] = A[-1] for i in range(N, 0, -1): x = d[i] x += A[i-1] if d[i-1] * 2 < x: y = x - A[i-1] if (y+1) // 2 + A[i-1] <= d[i-1] * 2: x = d[i-1] * 2 d[i-1] = min(x, d[i-1]+A[i-1]) print((sum(d)))
N = int(eval(input())) A = list(map(int, input().split())) d = [1] * (N+1) d[0] -= A[0] for i in range(N): d[i+1] = d[i] * 2 - A[i+1] if d[-1] < 0: print((-1)) exit() else: d[-1] = A[-1] for i in range(N, 0, -1): x = d[i] x += A[i-1] d[i-1] = min(x, d[i-1]+A[i-1]) print((sum(d)))
p02665
n=int(eval(input())) a=list(map(int,input().split())) s=sum(a)-1 ans,x=0,1 for i in range(n): if a[i]>x-1: print((-1)) exit() ans+=x x-=a[i] if i<n-1 and x<=0: print((-1)) exit() if s>=0: if s>=x: s-=x x=x*2 else: x=(x-s)+s*2 s=0 if x!=a[-1] or x<=0: print((-1)) exit() ans+=x print(ans)
#葉の総和-1=分岐の数 n=int(eval(input())) a=list(map(int,input().split())) s=sum(a)-1 ans,x=0,1 for i in range(n): if a[i]>x-1: print((-1)) exit() ans+=x x-=a[i] if i<n-1 and x<=0: print((-1)) exit() if s>=0: if s>=x: s-=x x=x*2 else: x=(x-s)+s*2 s=0 if x!=a[-1] or x<=0: print((-1)) exit() ans+=x print(ans)
p02665
N=int(eval(input())) A=list(map(int,input().split())) node=[1 for _ in range(N+1)] Sn=sum(A) S=[Sn] for s in range(N): S.append(S[s]-A[s+1]) ans=1 for i in range(1,N+1): if node[i-1]*2<=S[i-1]: ans+=node[i-1]*2 node[i]=node[i-1]*2 elif node[i-1]<=S[i-1]<node[i-1]*2: node[i]=S[i-1] ans+=S[i-1] node[i]-=A[i] if node[i]<0: ans=-1 break if A[0]>0: ans=-1 if N==0 and A[0]==1: ans=1 print(ans)
N=int(eval(input())) A=list(map(int,input().split())) node=[1 for _ in range(N+1)] #深さiで、葉にならない頂点の個数node[i] S=sum(A) #生産しなければならない葉の枚数の合計 ans=1 #深さ0である根は最初にカウントする #深さiの時点であと何枚の葉が必要か計算しつつ、必要な分だけノードを生産する #ノードの個数がその時点でのSまで届いたら、あとは各頂点が1つずつノードを生産し、 #各層でA[i]個のノードが生産を止めて葉となる for i in range(1,N+1): if node[i-1]*2<=S: #葉の生産量はノードの2倍ずつ、ノルマを超えるまでは最速で生産する ans+=node[i-1]*2 node[i]=node[i-1]*2 elif node[i-1]<=S<node[i-1]*2: #全てのノードが2倍になるとノルマを過ぎてしまう場合はノルマピッタリで止める node[i]=S ans+=S node[i]-=A[i] #葉となるノード数を差し引き、生産に寄与するノード数にして次の層に引き継ぐ S-=A[i] #葉になった枚数だけノルマも減らす if node[i]<0: #生産が間に合わなかった場合(要求された葉>生産可能なノード数)はループ停止 ans=-1 break if A[0]>0: #深さ0に葉があったら基本的にアウトだが… ans=-1 if N==0 and A[0]==1: #N=0の時だけ、深さ0に葉が1つという状況が許される ans=1 print(ans)
p02665
n = int(eval(input())) a = list(map(int, input().split())) b = [0]*(n+1) b[0] = 1 for i in range(n): b[i+1] = 2*(b[i] - a[i]) #根から計算した深さごとの要素数の最大値 c = [0]*(n+1) c[n] = a[n] for j in range(n): c[n-1-j] = c[n-j] + a[n-1-j] #葉から計算した最小値 #print(b) #print(c) d = [0]*(n+1) flag = 0 for k in range(n+1): if b[k] < c[k]: d[k] = b[k] if d[k] <= 0: flag += 1 else: d[k] = c[k] if d[k] <= 0: flag += 1 for l in range(n): flag += 1 if d[l+1] < d[l] - a[l] or 2*d[l] - a[l] < d[l+1] else 0 flag += 1 if a[l] + (d[l+1]+1)//2 > d[l] or d[l] > d[l+1] + a[l] else 0 ans = sum(d) if flag == 0 else -1 ans = -1 if n == 0 and a[0] > 1 else ans ans = -1 if a[n] != d[n] else ans print(ans) #print(d)
n = int(eval(input())) a = list(map(int, input().split())) b = [0]*(n+1) b[0] = 1 for i in range(n): b[i+1] = 2*(b[i] - a[i]) c = [0]*(n+1) c[n] = a[n] for j in range(n): c[n-1-j] = c[n-j] + a[n-1-j] d = [0]*(n+1) flag = 0 for k in range(n+1): if b[k] < c[k]: d[k] = b[k] if d[k] <= 0: flag += 1 else: d[k] = c[k] if d[k] <= 0: flag += 1 ans = sum(d) if flag == 0 else -1 ans = -1 if n == 0 and a[0] > 1 else ans ans = -1 if a[n] != d[n] else ans print(ans)
p02665
*a,=list(map(int,[*open(0)][1].split())) c=sum(a) s=b=1 for a in a:c-=a;b=min(c,(b-a)*2);s+=b print((max(-1,s)))
c=sum(a:=[*list(map(int,[*open(0)][1].split()))]) s=b=1 for a in a:b=min(c:=c-a,b-a<<1);s+=b print((max(-1,s)))
p02665
*a,=list(map(int,[*open(0)][1].split())) c=sum(a) s=b=1 for a in a:c-=a;b=min(c,b-a<<1);s+=b print((max(-1,s)))
c=sum(a:=[*list(map(int,[*open(0)][1].split()))]) b=1 print((max(-1,sum((b:=min(c:=c-a,b-a<<1))for a in a)+1)))
p02665
from itertools import accumulate n, *A = list(map(int, open(0).read().split())) if A[0] != 0: if A[0] == 1 and n == 0: print((1)) else: print((-1)) else: B = list(accumulate(A[::-1]))[::-1] + [0] C = [0] * (n+1) D = [0] * (n+1) C[0] = 1 D[0] = 1 for i in range(1, n+1): C[i] = min(B[i], 2*D[i-1]) D[i] = C[i] - A[i] if D[i] < 0: print((-1)) break else: print((sum(C)))
from itertools import accumulate n, *A = list(map(int, open(0).read().split())) if A[0] != 0: if A[0] == 1 and n == 0: print((1)) else: print((-1)) else: B = list(accumulate(A[::-1]))[::-1] C = [1] * (n+1) D = [1] * (n+1) for i in range(1, n+1): C[i] = min(B[i], 2*D[i-1]) D[i] = C[i] - A[i] if D[i] < 0: print((-1)) break else: print((sum(C)))
p02665
n = int(eval(input())) a = list(map(int, input().split())) b = a[::-1] if n == 0 and a[0] == 1: print((1)) exit() if n == 0: print((-1)) exit() if a[0] >= 1: print((-1)) exit() ans = [0] * (n + 1) for i in range(n): ans[i + 1] = ans[i] + b[i] ans = ans[::-1] ans = ans[1::] a = a[1::] res = 1 prev_cnt = 1 for i in range(n): cnt = min(prev_cnt * 2, ans[i] + a[i]) if cnt < a[i]: print((-1)) exit() res += cnt prev_cnt = cnt - a[i] print(res)
n = int(eval(input())) a = list(map(int, input().split())) b = a[::-1] if n == 0 and a[0] == 1: print((1)) exit() if a[0] >= 1: print((-1)) exit() ans = [0] * (n + 1) for i in range(n): ans[i + 1] = ans[i] + b[i] ans = ans[::-1] ans = ans[1::] a = a[1::] res = 1 prev_cnt = 1 for i in range(n): cnt = min(prev_cnt * 2, ans[i] + a[i]) if cnt < a[i]: print((-1)) exit() res += cnt prev_cnt = cnt - a[i] print(res)
p02665
def resolve(): N = int(eval(input())) A = [int(x) for x in input().split(" ")] if N == 0 and A[0] != 1: print((-1)) return True min_maxs = {} min_maxs[len(A)-1] = [A[-1], A[-1]] for index in reversed(list(range(len(A)-1))): min_maxs[index] = [min_maxs[index+1][0] // 2 + A[index], min_maxs[index+1][1] + A[index]] # print(min_maxs) # min_maxs.insert(0, [min_maxs[0][0] // 2 + a, min_maxs[0][1] + a]) # print(min_maxs) # max_node_in_depth = [sum(A[i:]) for i in range(len(A))] # # 各 depth における最小値 # min_node_in_depth = [0] * (len(A)) # min_node_in_depth[-1] = max_node_in_depth[-1] # index = -1 # for i in range(1, len(A)): # min_node_in_depth[index] = -(-min_node_in_depth[index + 1] // 2) + A[index] # index = index - 1 # for min_max in min_maxs: # print(min_max) result = 1 recent = 1 for index in range(1, len(A)): num_of_node = (recent - A[index-1]) * 2 # print(min_max, num_of_node) if num_of_node < min_maxs[index][0]: print((-1)) return True result += min(num_of_node, min_maxs[index][1]) recent = min(num_of_node, min_maxs[index][1]) print(result) if __name__ == "__main__": resolve()
def resolve(): N = int(eval(input())) A = [int(x) for x in input().split(" ")] if N == 0 and A[0] != 1: print((-1)) return True min_maxs = [0] * len(A) min_maxs[len(A)-1] = [A[-1], A[-1]] for index in reversed(list(range(len(A)-1))): min_maxs[index] = [min_maxs[index+1][0] // 2 + A[index], min_maxs[index+1][1] + A[index]] result = 1 recent = 1 for index in range(1, len(A)): num_of_node = (recent - A[index-1]) * 2 if num_of_node < min_maxs[index][0]: print((-1)) return True result += min(num_of_node, min_maxs[index][1]) recent = min(num_of_node, min_maxs[index][1]) print(result) if __name__ == "__main__": resolve()
p02665
from itertools import accumulate n=int(eval(input())) a=list(map(int,input().split())) c=list(accumulate(a)) b=[0]*(n+1) #大きくしすぎてしまう場合がある #いや上限を考えろや def f(): global n,a,b for i in range(n+1): if i==0: b[0]=min(c[n]-c[0],1) else: b[i]=min(2*(b[i-1]-a[i-1]),c[n]-c[i-1]) if n==0: if a[0]!=1: print((-1)) else: print((1)) elif b[n]!=a[n]: print((-1)) else: print((sum(b))) #print(b) f()
n,*a=list(map(int,open(0).read().split())) t,v=sum(a),[1] for q in a: v+=[min(2*(v[-1]-q),t:=t-q)] if v[-1]<0:print((-1));exit() print((sum(v)))
p02665
n,*a=list(map(int,open(0).read().split())) t,v,w=sum(a),1,1 for q in a: w=min(2*(w-q),t:=t-q);(v:=v+w) if w<0:print((-1));exit() print(v)
n,*a=list(map(int,open(0).read().split())) t=sum(a);v=w=1 for q in a: w=min(2*(w-q),t:=t-q);(v:=v+w) if w<0:print((-1));exit() print(v)
p02665
n,*a=list(map(int,open(0).read().split())) t=sum(a);v=w=1 for q in a: w=min(2*(w-q),t:=t-q);(v:=v+w) if w<0:print((-1));exit() print(v)
n,*a=list(map(int,open(0).read().split())) t=sum(a);v=w=1 for q in a: if(w:=min(2*(w-q),t:=t-q))<0:print((-1));exit() v+=w print(v)
p02665
n,*a=map(int,open(0).read().split());t=sum(a);v=w=1 for q in a: if(w:=min(2*(w-q),t:=t-q))<0:exit(print(-1)) v+=w print(v)
n,*a=map(int,open(0).read().split());t=sum(a);v=w=1 print(sum([1]+[exit(print(-1)) if(w:=min(2*(w-q),t:=t-q))<0 else w for q in a]))
p02665
p=print;n,*a=map(int,open(0).read().split());t=sum(a);p(sum([w:=1]+[exit(p(-1))if(w:=min(2*(w-q),t:=t-q))<0 else w for q in a]))
p,s=print,sum;n,*a=map(int,open(0).read().split());t=s(a);p(s([w:=1]+[exit(p(-1))if(w:=min(2*(w-q),t:=t-q))<0 else w for q in a]))
p02665
W, H, x, y= list(map(int, input().split())) S = W*H/2 flg = 1 if (x==W/2 and y==H/2) else 0 print(('{:.6f}'.format(S)+" "+str(flg)))
W, H, x, y= list(map(int, input().split())) print(('{:.6f}'.format(W*H/2)+" "+str(1 if (x==W/2 and y==H/2) else 0)))
p03001
# AOJ ITP2_3_C: Count # Python3 2018.6.24 bal4u n = int(eval(input())) a = list(map(int, input().split())) q = int(eval(input())) for i in range(q): b, e, k = list(map(int, input().split())) s = a[b:e] print((s.count(k)))
# AOJ ITP2_3_C: Count # Python3 2018.6.24 bal4u n = int(eval(input())) a = list(map(int, input().split())) q = int(eval(input())) for i in range(q): b, e, k = list(map(int, input().split())) print((a[b:e].count(k)))
p02441
#!/usr/bin/env python # -*- coding: utf-8 -*- import sys def max_heapify(index): # global heap_length left, right, largest = 2 * index, 2 * index + 1, None if left <= heap_length and heap_array[left] > heap_array[index]: largest = left else: largest = index if right <= heap_length and heap_array[right] > heap_array[largest]: largest = right if largest != index: heap_array[index], heap_array[largest] = heap_array[largest], heap_array[index] max_heapify(largest) return None def extract(): global heap_length if heap_length < 1: raise SystemExit('Heap underflow!') # the root of the heap is always the largest heap_max = heap_array[1] # move new data to heap root heap_array[1] = heap_array[heap_length] heap_length -= 1 # print heap_array.pop() print(heap_max) max_heapify(1) # assert len(heap_array) == heap_length + 1 return heap_max def insert(data): global heap_length heap_length += 1 heap_array.append(-1) # assert len(heap_array) == heap_length + 1 insert_data(heap_length, data) def insert_data(index, data): if data < heap_array[index]: raise SystemExit('Not a max-heap!') heap_array[index] = data while index > 1: parent = index // 2 if heap_array[parent] >= heap_array[index]: break heap_array[index], heap_array[parent] = heap_array[parent], heap_array[index] index //= 2 return None def action(_command): if _command.startswith('in'): insert(int(each[7:])) elif _command.startswith('ex'): extract() return None if __name__ == '__main__': _input = sys.stdin.readlines() # command_list = list(map(lambda x: x.split(), _input)) # allowed_commands = ('insert', 'extract', 'end') heap_array, heap_length = [-1], 0 for each in _input: # command, content = each[0], each[-1] # if command not in allowed_commands: # raise SystemExit('Illegal command!') action(each)
#!/usr/bin/env python3 # -*- coding: utf-8 -*- import sys import heapq as hp if __name__ == '__main__': _input = sys.stdin.readlines() heap_array = [] for each in _input: if each.startswith('in'): hp.heappush(heap_array, -1 * int(each[7:])) elif each.startswith('ex'): print((-1 * hp.heappop(heap_array)))
p02289
import sys #@profile def max_heapify(A, i): j = i largest = i H = len(A) -1 while True: l = j * 2 r = l + 1 if l <= H and A[l] > A[j]: largest = l if r <= H and A[r] > A[largest]: largest = r if largest != j: A[j], A[largest] = A[largest], A[j] #max_heapify(A, largest) j = largest else: break #@profile def build_max_heap(A): for i in range(len(A)-1 // 2, 0, -1): max_heapify(A, i) #@profile def extract(A): print(A[1]) A[1] = A[-1] del A[-1] max_heapify(A, 1) A = [0] #@profile def main(): out = "" for l in sys.stdin.readlines(): if l[0] == "i": #insert k A.append(int(l[7:])) build_max_heap(A) #print(A) elif l[1] == "n": #end print(out, end = "") return else: if len(A) <= 1: pass elif len(A) == 2: out += str(A.pop()) + "\n" #print(A.pop()) #extract(A) else: out += str(A[1]) + "\n" A[1] = A.pop() max_heapify(A, 1) if __name__ == "__main__": main()
import sys #@profile def max_heapify(A, i): j = i largest = i H = len(A) -1 while True: l = j * 2 r = l + 1 if l <= H and A[l] > A[j]: largest = l if r <= H and A[r] > A[largest]: largest = r if largest != j: A[j], A[largest] = A[largest], A[j] #max_heapify(A, largest) j = largest else: break #@profile def build_max_heap(A): i = len(A)-1 last = A[i] parent = i//2 while parent > 0 and A[parent] < last: A[i] = A[parent] i = parent parent = i //2 A[i] = last #@profile def extract(A): print(A[1]) A[1] = A[-1] del A[-1] max_heapify(A, 1) A = [0] #@profile def main(): out = "" for l in sys.stdin.readlines(): if l[0] == "i": #insert k A.append(int(l[7:])) build_max_heap(A) #print(A) elif l[1] == "n": #end print(out, end = "") return else: if len(A) <= 1: pass elif len(A) == 2: out += str(A.pop()) + "\n" #print(A.pop()) #extract(A) else: out += str(A[1]) + "\n" A[1] = A.pop() max_heapify(A, 1) if __name__ == "__main__": main()
p02289
class PQueue: def __init__(self): self.keys = [] def maxHeapify(self, i): l = i * 2 + 1 r = i * 2 + 2 if l < len(self.keys) and self.keys[l] > self.keys[i]: largest = l else: largest = i if r < len(self.keys) and self.keys[r] > self.keys[largest]: largest = r if largest != i: self.keys[i], self.keys[largest] = self.keys[largest], self.keys[i] self.maxHeapify(largest) def insert(self, key): i = len(self.keys) self.keys.append(key) parent = (i - 1) // 2 while i > 0 and self.keys[parent] < self.keys[i]: self.keys[i], self.keys[parent] = self.keys[parent], self.keys[i] i = parent parent = (parent - 1) // 2 def heapExtraMax(self): max_key = self.keys[0] if len(self.keys) > 1: self.keys[0] = self.keys.pop() else: del self.keys[0] self.maxHeapify(0) print(max_key) S = PQueue() ans = [] import sys for x in sys.stdin.readlines(): if x[0] == 'i': k = int(x[7:]) S.insert(k) elif x[1] == 'x': S.heapExtraMax() else: pass
class PQueue: def __init__(self): self.keys = [] def maxHeapify(self, i): l = i * 2 + 1 r = i * 2 + 2 if l < len(self.keys) and self.keys[l] > self.keys[i]: largest = l else: largest = i if r < len(self.keys) and self.keys[r] > self.keys[largest]: largest = r if largest != i: self.keys[i], self.keys[largest] = self.keys[largest], self.keys[i] self.maxHeapify(largest) def insert(self, key): i = len(self.keys) self.keys.append(key) parent = (i - 1) // 2 while i > 0 and self.keys[parent] < self.keys[i]: self.keys[i], self.keys[parent] = self.keys[parent], self.keys[i] i = parent parent = (parent - 1) // 2 def heapExtraMax(self): max_key = self.keys[0] if len(self.keys) > 1: self.keys[0] = self.keys.pop() else: del self.keys[0] self.maxHeapify(0) return max_key S = PQueue() ans = [] import sys for x in sys.stdin.readlines(): if x[0] == 'i': k = int(x[7:]) S.insert(k) elif x[1] == 'x': ans.append(S.heapExtraMax()) else: pass print(*ans, sep = '\n')
p02289
class PQueue: def __init__(self): self.keys = [] def maxHeapify(self, i): l = i * 2 + 1 r = i * 2 + 2 if l < len(self.keys) and self.keys[l] > self.keys[i]: largest = l else: largest = i if r < len(self.keys) and self.keys[r] > self.keys[largest]: largest = r if largest != i: self.keys[i], self.keys[largest] = self.keys[largest], self.keys[i] self.maxHeapify(largest) def insert(self, key): i = len(self.keys) self.keys.append(key) parent = (i - 1) // 2 while i > 0 and self.keys[parent] < self.keys[i]: self.keys[i], self.keys[parent] = self.keys[parent], self.keys[i] i = parent parent = (parent - 1) // 2 def heapExtraMax(self): max_key = self.keys[0] if len(self.keys) > 1: self.keys[0] = self.keys.pop() else: del self.keys[0] self.maxHeapify(0) return max_key S = PQueue() ans = [] import sys for x in sys.stdin.readlines(): if x[0] == 'i': k = int(x[7:]) S.insert(k) elif x[1] == 'x': ans.append(S.heapExtraMax()) else: pass print(*ans, sep = '\n')
def maxHeapify(keys, i): l = i * 2 + 1 r = i * 2 + 2 if l < len(keys) and keys[l] > keys[i]: largest = l else: largest = i if r < len(keys) and keys[r] > keys[largest]: largest = r if largest != i: keys[i], keys[largest] = keys[largest], keys[i] maxHeapify(keys, largest) def heapInsert(keys, key): i = len(keys) keys.append(key) parent = (i - 1) // 2 while i > 0 and keys[parent] < keys[i]: keys[i], keys[parent] = keys[parent], keys[i] i = parent parent = (parent - 1) // 2 def heapMaxPop(keys): max_key = keys[0] if len(keys) > 1: keys[0] = keys.pop() else: del keys[0] maxHeapify(keys, 0) print(max_key) S = [] import sys for x in sys.stdin.readlines(): if x[0] == 'i': k = int(x[7:]) heapInsert(S, k) elif x[1] == 'x': heapMaxPop(S) else: pass
p02289
def maxHeapify(i): l = i * 2 + 1 r = i * 2 + 2 if l < len(A) and A[l] > A[i]: largest = l else: largest = i if r < len(A) and A[r] > A[largest]: largest = r if largest != i: A[i], A[largest] = A[largest], A[i] maxHeapify(largest) def heapInsert(key): i = len(A) A.append(key) parent = (i - 1) // 2 while i > 0 and A[parent] < A[i]: A[i], A[parent] = A[parent], A[i] i = parent parent = (parent - 1) // 2 def heapMaxPop(): max_key = A[0] if len(A) > 1: A[0] = A.pop() else: del A[0] maxHeapify(0) print(max_key) A = [] import sys for x in sys.stdin.readlines(): if x[0] == 'i': k = int(x[7:]) heapInsert(k) elif x[1] == 'x': heapMaxPop() else: pass
def setHeapDown_max(heap, pos): targetkey = heap[pos] while pos > 0: parentpos = (pos - 1) >> 1 parent = heap[parentpos] if parent < targetkey: heap[pos] = parent pos = parentpos continue break heap[pos] = targetkey def setHeapUp_max(heap, pos): endpos = len(heap) targetkey = heap[pos] childpos = 2*pos + 1 while childpos < endpos: rightpos = childpos + 1 if rightpos < endpos and not heap[rightpos] < heap[childpos]: childpos = rightpos heap[pos] = heap[childpos] pos = childpos childpos = 2*pos + 1 heap[pos] = targetkey setHeapDown_max(heap, pos) def heapPush_max(heap, key): heap.append(key) setHeapDown_max(heap, len(heap) - 1) def heapPop_max(heap): lastkey = heap.pop() if heap: returnkey = heap[0] heap[0] = lastkey setHeapUp_max(heap, 0) return returnkey return lastkey import sys S = [] for x in sys.stdin.readlines(): if x[0] == 'i': k = int(x[7:]) heapPush_max(S, k) elif x[1] == 'x': print((heapPop_max(S))) else: pass
p02289
def setHeapDown_max(heap, pos): targetkey = heap[pos] while pos > 0: parentpos = (pos - 1) >> 1 parent = heap[parentpos] if parent < targetkey: heap[pos] = parent pos = parentpos continue break heap[pos] = targetkey def setHeapUp_max(heap, pos): endpos = len(heap) targetkey = heap[pos] childpos = 2*pos + 1 while childpos < endpos: rightpos = childpos + 1 if rightpos < endpos and not heap[rightpos] < heap[childpos]: childpos = rightpos childkey = heap[childpos] if targetkey > childkey: break heap[pos] = childkey pos = childpos childpos = 2*pos + 1 heap[pos] = targetkey def heapPush_max(heap, key): heap.append(key) setHeapDown_max(heap, len(heap) - 1) def heapPop_max(heap): lastkey = heap.pop() if heap: returnkey = heap[0] heap[0] = lastkey setHeapUp_max(heap, 0) return returnkey return lastkey import sys S = [] for x in sys.stdin.readlines(): if x[0] == 'i': k = int(x[7:]) heapPush_max(S, k) elif x[1] == 'x': print((heapPop_max(S))) else: pass
def setHeapDown_max(heap, pos): targetkey = heap[pos] while pos > 0: parentpos = (pos - 1) >> 1 parent = heap[parentpos] if parent < targetkey: heap[pos] = parent pos = parentpos continue break heap[pos] = targetkey def setHeapUp_max(heap, pos): endpos = len(heap) targetkey = heap[pos] childpos = 2*pos + 1 while childpos < endpos: rightpos = childpos + 1 if rightpos < endpos and not heap[rightpos] < heap[childpos]: childpos = rightpos childkey = heap[childpos] if targetkey > childkey: break heap[pos] = childkey pos = childpos childpos = 2*pos + 1 heap[pos] = targetkey def heapPush_max(heap, key): heap.append(key) setHeapDown_max(heap, len(heap) - 1) def heapPop_max(heap): lastkey = heap.pop() if heap: returnkey = heap[0] heap[0] = lastkey setHeapUp_max(heap, 0) return returnkey return lastkey import sys S = [] ans = [] for x in sys.stdin.readlines(): if x[0] == 'i': k = int(x[7:]) heapPush_max(S, k) elif x[1] == 'x': ans.append(heapPop_max(S)) else: pass print(*ans, sep = '\n')
p02289
import sys def max_heapify(A, i): H = len(A) - 1 l, r, m = i*2, i*2+1, i if l <= H and A[l] > A[i]: m = l if r <= H and A[r] > A[m]: m = r if m != i: A[i], A[m] = A[m], A[i] max_heapify(A, m) def build_max_heap(A): H = len(A) - 1 for i in range(H // 2, 0, -1): max_heapify(A, i) A = [0] for line in sys.stdin.readlines(): if line[0] == 'i': A.append(int(line[7:])) build_max_heap(A) elif line[1] == 'x': if len(A) <= 2: print((A.pop())) else: print((A[1])) A[1] = A.pop() max_heapify(A, 1) else: exit()
import sys def max_heapify(A, H, i): target = A[i] m = i l = i * 2 while l <= H: largest = target if A[l] > target: m = l largest = A[m] r = l + 1 if r <= H and A[r] > largest: m = r largest = A[m] if m != i: A[i] = largest i = m l = i * 2 else: break A[m] = target def build_max_heap(A, i): if i < 2: return last = A[i] p = i // 2 while p > 0 and A[p] < last: A[i] = A[p] i = p p = i // 2 A[i] = last A = [0] for line in sys.stdin.readlines(): if line[0] == 'i': A.append(int(line[7:])) build_max_heap(A, len(A) - 1) elif line[1] == 'x': if len(A) <= 1: pass elif len(A) <= 2: print((A.pop())) else: print((A[1])) A[1] = A.pop() max_heapify(A, len(A) -1, 1) else: exit()
p02289
import sys class PriorityQueue: def __init__(self): self.nodes = [] self.num = 0 def max_heapify(self, i): if i >= self.num: return left, right = (i+1)*2-1, (i+1)*2 largest = i if left < self.num and self.nodes[i] < self.nodes[left]: largest = left if right < self.num and self.nodes[largest] < self.nodes[right]: largest = right if largest != i: self.nodes[i], self.nodes[largest] = self.nodes[largest], self.nodes[i] self.max_heapify(largest) def extract_max(self): if self.num < 1: return max = self.nodes[0] self.nodes[0] = self.nodes[-1] self.nodes.pop(-1) self.num -= 1 self.max_heapify(0) return max def insert(self, key): self.nodes.append(key) self.num += 1 i = self.num-1 par = lambda i: (i-1)//2 while i > 0 and self.nodes[par(i)] < self.nodes[i]: self.nodes[i], self.nodes[par(i)] = self.nodes[par(i)], self.nodes[i] i = par(i) def print_element(self): for node in self.nodes: print('', node, end='') print('') pq = PriorityQueue() lines = sys.stdin.readlines() for line in lines: op = line.strip().split(' ') if op[0] == 'insert': pq.insert(int(op[1])) elif op[0] == 'extract': print(pq.extract_max()) else: break
import sys from heapq import heappush, heappop # わからん pq = [] lines = sys.stdin.readlines() for line in lines: op = line.strip().split(' ') if op[0] == 'insert': heappush(pq, -int(op[1])) elif op[0] == 'extract': print((-heappop(pq))) else: break # import sys, time # # class PriorityQueue: # __slots__ = ['nodes', 'num'] # # def __init__(self): # self.nodes = [] # self.num = 0 # # def max_heapify(self, i): # if i >= self.num: return # left, right = (i+1)*2-1, (i+1)*2 # # largest = i # if left < self.num and self.nodes[i] < self.nodes[left]: largest = left # if right < self.num and self.nodes[largest] < self.nodes[right]: largest = right # # if largest != i: # self.nodes[i], self.nodes[largest] = self.nodes[largest], self.nodes[i] # self.max_heapify(largest) # # def extract_max(self): # if self.num < 1: return # max = self.nodes[0] # self.nodes[0] = self.nodes[-1] # self.nodes.pop() # self.num -= 1 # self.max_heapify(0) # return max # # def insert(self, key): # self.nodes.append(key) # self.num += 1 # i = self.num-1 # par = lambda i: (i-1)//2 # while i > 0 and self.nodes[par(i)] < self.nodes[i]: # self.nodes[i], self.nodes[par(i)] = self.nodes[par(i)], self.nodes[i] # i = par(i) # # def print_element(self): # for node in self.nodes: # print('', node, end='') # print('') # # pq = PriorityQueue() # # start = time.time() # lines = sys.stdin.readlines() # for line in lines: # op = line.strip().split(' ') # if op[0] == 'insert': # pq.insert(int(op[1])) # elif op[0] == 'extract': # # print(pq.extract_max()) # pq.extract_max() # else: # break # print('elapsed:', time.time()-start)
p02289
import sys class QueueEmptyError(Exception): pass class PriorityQueue: def __init__(self): self._nodes = [] def add(self, v): self._nodes.append(v) i = len(self._nodes) - 1 while i > 0: parent = (i-1) // 2 vp, vi = self._nodes[parent], self._nodes[i] if vp < vi: self._nodes[parent], self._nodes[i] = vi, vp i = parent else: break def extract(self): size = len(self._nodes) - 1 if size < 0: raise QueueEmptyError() node = self._nodes[0] last = self._nodes.pop() if size > 0: self._nodes[0] = last i = 0 while i < size // 2: top = i left = (i+1) * 2 - 1 right = (i+1) * 2 vi = self._nodes[top] vt = vi if left < size: vl = self._nodes[left] if vl > vt: top = left vt = vl if right < size: vr = self._nodes[right] if vr > vt: top = right vt = vr if top > i: self._nodes[top], self._nodes[i] = vi, vt i = top else: break return node def run(): q = PriorityQueue() for line in sys.stdin: if line.startswith("i"): q.add(int(line[7:])) elif line.startswith("ex"): print((q.extract())) elif line.startswith("end"): break else: ValueError("invalid command") if __name__ == '__main__': run()
import sys def run(): q = [] for line in sys.stdin: if line.startswith("i"): v = int(line[7:]) q.append(v) i = len(q) - 1 while i > 0: p = (i-1) // 2 vp = q[p] if vp < v: q[p], q[i] = v, vp i = p else: break elif line.startswith("ex"): size = len(q) - 1 if size < 0: raise ValueError('get from empty queue') v = q[0] last = q.pop() if size > 0: q[0] = last i = 0 while i < size // 2: top, vt = i, last left = (i+1) * 2 - 1 right = (i+1) * 2 if left < size: vl = q[left] if vl > vt: top, vt = left, vl if right < size: vr = q[right] if vr > vt: top, vt = right, vr if top > i: q[top], q[i] = last, vt i = top else: break print(v) elif line.startswith("end"): break else: ValueError("invalid command") if __name__ == '__main__': run()
p02289
import sys def h(i): l=2*i;r=l+1 if r<=H: if A[i]<A[l]: if A[l]<A[r]:A[i],A[r]=A[r],A[i];h(r) else:A[i],A[l]=A[l],A[i];h(l) elif A[i]<A[r]:A[i],A[r]=A[r],A[i];h(r) elif l<=H and A[i]<A[l]:A[i],A[l]=A[l],A[i];h(l) H=0 A=[0]*2000001 o='' for e in sys.stdin: if'i'==e[0]: H+=1;A[H]=int(e[7:]);k=H while k>1 and A[k//2]<A[k]:A[k],A[k//2]=A[k//2],A[k];k//=2 elif'x'==e[1]: o+=f'{A[1]}\n';H-=1 if H:A[1]=A[H+1];h(1) print((o[:-1]))
import sys from heapq import * H=[] O=[] for e in sys.stdin: if'i'==e[0]:heappush(H,-int(e[7:])) elif't'==e[2]:O+=[-heappop(H)] print(("\n".join(map(str,O))))
p02289
import sys from heapq import * H=[] O='' for e in sys.stdin: if'i'==e[0]:heappush(H,-int(e[7:])) elif'x'==e[1]:O+=f'{-heappop(H)}\n' print((O[:-1]))
import sys from heapq import * H,O=[],[] for e in sys.stdin: if'i'==e[0]:heappush(H,-int(e[7:])) elif'x'==e[1]:O+=[-heappop(H)] print(('\n'.join(map(str,O))))
p02289
import sys from heapq import * H=[] O=[] for e in sys.stdin: if'end'==e:break if'i'==e[0]:heappush(H,-int(e[7:])) elif't'==e[2]:O+=[-heappop(H)] print(('\n'.join(map(str,O))))
import sys from heapq import * H=[] O=[] for e in sys.stdin: if'i'==e[0]:heappush(H,-int(e[7:])) elif't'==e[2]:O+=[-heappop(H)] else:print(('\n'.join(map(str,O))))
p02289
import sys INFTY = 1<<30 class MaxHeap(): def __init__(self, a, h): self.a = a self.h = h def parent(self, i): return i//2 def left(self, i): return 2 * i def right(self, i): return 2 * i + 1 def maxHeapify(self, i): l = self.left(i) r = self.right(i) if l <= self.h and self.a[l] > self.a[i]: largest = l else: largest = i if r <= self.h and self.a[r] > self.a[largest]: largest = r if largest != i: self.a[i], self.a[largest] = self.a[largest], self.a[i] self.maxHeapify(largest) def extract(self): if self.h < 1: return -INFTY maxv = self.a[1] self.a[1] = self.a[self.h] self.h -= 1 self.maxHeapify(1) return maxv def increaseKey(self, i, k): if k < self.a[i]: return self.a[i] = k while i > 1 and self.a[i//2] < self.a[i]: self.a[i], self.a[i//2] = self.a[i//2], self.a[i] i = i // 2 def insert(self, k): self.h += 1 self.a[self.h] = -INFTY self.increaseKey(self.h, k) if __name__ == '__main__': a = [None] * (2000000 + 1) x = MaxHeap(a, 0) ret = [None] * (2000000 + 1) i = 0 coms = sys.stdin.readlines() for com in coms: if com[0] == "i": k = int(com.split()[1]) x.insert(k) elif com[0:2] == "ex": ret[i] = x.extract() i += 1 else: sys.stdout.write("\n".join([str(s) for s in ret[:i]])) print()
import sys INFTY = 1<<30 a = [None] * (2000000 + 1) h = 0 ret = [None] * (2000000 + 1) i = 0 def left(i): return 2 * i def right(i): return 2 * i + 1 def maxHeapify(i): global a, h l = left(i) r = right(i) if l <= h and a[l] > a[i]: largest = l else: largest = i if r <= h and a[r] > a[largest]: largest = r if largest != i: a[i], a[largest] = a[largest], a[i] maxHeapify(largest) def extract(): global a, h if h < 1: return -INFTY maxv = a[1] a[1] = a[h] h -= 1 maxHeapify(1) return maxv def increaseKey(i, k): global a if k < a[i]: return a[i] = k while i > 1 and a[i//2] < a[i]: a[i], a[i//2] = a[i//2], a[i] i = i // 2 def insert(k): global a, h h += 1 a[h] = -INFTY increaseKey(h, k) coms = sys.stdin.readlines() for com in coms: if com[0] == "i": k = int(com.split()[1]) insert(k) elif com[0:2] == "ex": ret[i] = extract() i += 1 else: sys.stdout.write("\n".join([str(s) for s in ret[:i]])) print()
p02289
import sys INFTY = 1<<30 a = [None] * (2000000 + 1) h = 0 ret = [None] * (2000000 + 1) i = 0 def left(i): return 2 * i def right(i): return 2 * i + 1 def maxHeapify(i): global a, h l = left(i) r = right(i) if l <= h and a[l] > a[i]: largest = l else: largest = i if r <= h and a[r] > a[largest]: largest = r if largest != i: a[i], a[largest] = a[largest], a[i] maxHeapify(largest) def extract(): global a, h if h < 1: return -INFTY maxv = a[1] a[1] = a[h] h -= 1 maxHeapify(1) return maxv def increaseKey(i, k): global a if k < a[i]: return a[i] = k while i > 1 and a[i//2] < a[i]: a[i], a[i//2] = a[i//2], a[i] i = i // 2 def insert(k): global a, h h += 1 a[h] = -INFTY increaseKey(h, k) coms = sys.stdin.readlines() for com in coms: if com[0] == "i": k = int(com.split()[1]) insert(k) elif com[0:2] == "ex": ret[i] = extract() i += 1 else: sys.stdout.write("\n".join([str(s) for s in ret[:i]])) print()
import sys INFTY = 1<<30 a = [None] * 2000001 h = 0 ret = [] def maxHeapify(i): global a, h l = 2 * i r = 2 * i + 1 if l <= h and a[l] > a[i]: largest = l else: largest = i if r <= h and a[r] > a[largest]: largest = r if largest != i: a[i], a[largest] = a[largest], a[i] maxHeapify(largest) def extract(): global a, h if h < 1: return -INFTY maxv = a[1] a[1] = a[h] h -= 1 maxHeapify(1) return maxv def increaseKey(i, k): global a if k < a[i]: return a[i] = k while i > 1 and a[i//2] < a[i]: a[i], a[i//2] = a[i//2], a[i] i = i // 2 def insert(k): global a, h h += 1 a[h] = -INFTY increaseKey(h, k) for com in sys.stdin.readlines(): if com[0] == "i": insert(int(com[7:])) elif com[1] == "x": ret.append(extract()) else: print(("\n".join([str(s) for s in ret]))) # print()
p02289
import sys from collections import deque INFTY = 1<<30 a = [None] * 2000001 h = 0 ret = deque([]) def maxHeapify(i): global a, h l = 2 * i r = 2 * i + 1 if l <= h and a[l] > a[i]: largest = l else: largest = i if r <= h and a[r] > a[largest]: largest = r if largest != i: a[i], a[largest] = a[largest], a[i] maxHeapify(largest) def extract(): global a, h if h < 1: return -INFTY maxv = a[1] a[1] = a[h] h -= 1 maxHeapify(1) return maxv def increaseKey(i, k): global a if k < a[i]: return a[i] = k while i > 1 and a[i//2] < a[i]: a[i], a[i//2] = a[i//2], a[i] i = i // 2 def insert(k): global a, h h += 1 a[h] = -INFTY increaseKey(h, k) i = 0 for com in sys.stdin.readlines(): if com[0] == "i": insert(int(com[7:])) elif com[1] == "x": ret.append(extract()) else: sys.stdout.writelines("\n".join([str(s) for s in ret])) print()
from sys import stdin, exit def max_heapify(a, i): heap_size = a[0] L = 2*i R = 2*i + 1 if L <= heap_size and a[L] > a[i]: largest = L else: largest = i if R <= heap_size and a[R] > a[largest]: largest = R if largest != i: a[i], a[largest] = a[largest], a[i] max_heapify(a, largest) def main(): heap = [-1] * 2000001 heap[0] = 1 for cmd in stdin: if cmd[0] == 'i': heap[0] += 1 i = heap[0] heap[i] = int(cmd[7:]) half = i // 2 while i > 1 and heap[half] < heap[i]: heap[i], heap[half] = heap[half], heap[i] i //= 2 half = i // 2 elif cmd[1] == 'x': print((heap[1])) heap[1] = heap[heap[0]] heap[0] -= 1 max_heapify(heap, 1) elif cmd[1] == 'n': exit(0) main()
p02289
from sys import stdin, exit def max_heapify(a, i): heap_size = a[0] L = 2*i R = 2*i + 1 if L <= heap_size and a[L] > a[i]: largest = L else: largest = i if R <= heap_size and a[R] > a[largest]: largest = R if largest != i: a[i], a[largest] = a[largest], a[i] max_heapify(a, largest) def main(): heap = [-1] * 2000001 heap[0] = 1 for cmd in stdin: if cmd[0] == 'i': heap[0] += 1 i = heap[0] heap[i] = int(cmd[7:]) half = i // 2 while i > 1 and heap[half] < heap[i]: heap[i], heap[half] = heap[half], heap[i] i //= 2 half = i // 2 elif cmd[1] == 'x': print((heap[1])) heap[1] = heap[heap[0]] heap[0] -= 1 max_heapify(heap, 1) elif cmd[1] == 'n': exit(0) main()
from sys import stdin, stdout, exit def max_heapify(a, i): heap_size = a[0] L = 2*i R = 2*i + 1 if L <= heap_size and a[L] > a[i]: largest = L else: largest = i if R <= heap_size and a[R] > a[largest]: largest = R if largest != i: a[i], a[largest] = a[largest], a[i] max_heapify(a, largest) def main(): ret = [] heap = [-1] * 2000001 heap[0] = 1 for cmd in stdin: if cmd[0] == 'i': heap[0] += 1 i = heap[0] heap[i] = int(cmd[7:]) half = i // 2 while i > 1 and heap[half] < heap[i]: heap[i], heap[half] = heap[half], heap[i] i //= 2 half = i // 2 elif cmd[1] == 'x': ret.append(heap[1]) heap[1] = heap[heap[0]] heap[0] -= 1 max_heapify(heap, 1) elif cmd[1] == 'n': stdout.writelines("\n".join([str(s) for s in ret])) print() exit(0) main()
p02289
from sys import stdin, stdout, exit def max_heapify(a, i): heap_size = a[0] L = 2*i R = 2*i + 1 if L <= heap_size and a[L] > a[i]: largest = L else: largest = i if R <= heap_size and a[R] > a[largest]: largest = R if largest != i: a[i], a[largest] = a[largest], a[i] max_heapify(a, largest) def main(): ret = [] heap = [-1] * 2000001 heap[0] = 1 for cmd in stdin: if cmd[0] == 'i': heap[0] += 1 i = heap[0] heap[i] = int(cmd[7:]) half = i // 2 while i > 1 and heap[half] < heap[i]: heap[i], heap[half] = heap[half], heap[i] i //= 2 half = i // 2 elif cmd[1] == 'x': ret.append(heap[1]) heap[1] = heap[heap[0]] heap[0] -= 1 max_heapify(heap, 1) elif cmd[1] == 'n': stdout.writelines("\n".join([str(s) for s in ret])) print() exit(0) main()
import heapq import sys h = [] for com in sys.stdin.readlines(): if com[0] == "i": heapq.heappush(h, -int(com[7:])) elif com[1] == "x": print((-heapq.heappop(h)))
p02289
import sys def max_heapify(a, i): h = len(a) l = 2 * i + 1 r = 2 * i + 2 if l < h and a[l] > a[i]: largest = l else: largest = i if r < h and a[r] > a[largest]: largest = r if largest != i: tmp = a[i] a[i] = a[largest] a[largest] = tmp max_heapify(a, largest) def build_max_heap(a): h = len(a) for i in range(h // 2 - 1, -1, -1): max_heapify(a, i) def extract_max(a): max = a[0] a[0] = a[-1] a.pop() build_max_heap(a) return max def insert(a, n): i = len(a) a.append(n) while i > 0: p = int((i + 1) / 2) - 1 v = a[i] pv = a[p] if pv < v: a[p] = v a[i] = pv i = p else: break heap = [] while True: cmd = input().split() if cmd[0] == "end": break elif cmd[0] == "extract": print((extract_max(heap))) elif cmd[0] == "insert": insert(heap, int(cmd[1]))
def extract_max(A): x = A[0] A[0] = A[-1] A.pop() H = len(A) i = 0 while i < H: # ??????????????? v = A[i] rv = 0 lv = 0 r = (i + 1) * 2 l = r - 1 if l < H: lv = A[l] if r < H: rv = A[r] if v < lv and lv > rv: A[l] = v A[i] = lv i = l elif v < rv: A[r] = v A[i] = rv i = r else: break return x def insert(a, n): i = len(a) a.append(n) while i > 0: p = int((i + 1) / 2) - 1 v = a[i] pv = a[p] if pv < v: a[p] = v a[i] = pv i = p else: break heap = [] while True: cmd = input().split() if cmd[0] == "end": break elif cmd[0] == "extract": print((extract_max(heap))) elif cmd[0] == "insert": insert(heap, int(cmd[1]))
p02289
def extract_max(A): x = A[0] A[0] = A[-1] A.pop() H = len(A) i = 0 while i < H: # ??????????????? v = A[i] rv = 0 lv = 0 r = (i + 1) * 2 l = r - 1 if l < H: lv = A[l] if r < H: rv = A[r] if v < lv and lv > rv: A[l] = v A[i] = lv i = l elif v < rv: A[r] = v A[i] = rv i = r else: break return x def insert(a, n): i = len(a) a.append(n) while i > 0: p = int((i + 1) / 2) - 1 v = a[i] pv = a[p] if pv < v: a[p] = v a[i] = pv i = p else: break heap = [] while True: cmd = input().split() if cmd[0] == "end": break elif cmd[0] == "extract": print((extract_max(heap))) elif cmd[0] == "insert": insert(heap, int(cmd[1]))
import sys def extract_max(A): x = A[0] A[0] = A[-1] A.pop() H = len(A) i = 0 while i < H: v = A[i] rv = 0 lv = 0 r = (i + 1) * 2 l = r - 1 if l < H: lv = A[l] if r < H: rv = A[r] if v < lv and lv > rv: A[l] = v A[i] = lv i = l elif v < rv: A[r] = v A[i] = rv i = r else: break return x def insert(a, n): i = len(a) a.append(n) while i > 0: p = int((i + 1) / 2) - 1 v = a[i] pv = a[p] if pv < v: a[p] = v a[i] = pv i = p else: break def main(): istr = sys.stdin.read() cmds = list(istr.splitlines()) S = [] for cmd in cmds: # input() if cmd[0] == "i": insert(S, int(cmd[7:])) elif cmd == "extract": a = extract_max(S) print(a) elif cmd == "end": break if __name__ == '__main__': main()
p02289
def max_heapify(A, i): l = i * 2 r = i * 2 + 1 largest = i if l < len(A): if A[l] > A[largest]: largest = l if r < len(A): if A[r] > A[largest]: largest = r if largest != i: A[i], A[largest] = A[largest], A[i] max_heapify(A, largest) def build_max_heap(A): for i in range(int(len(A) / 2), 0, -1): max_heapify(A, i) def insert(A, k): A.append(k) def extract_max(A): build_max_heap(A) k = A.pop(1) return k A = [None] while True: o = list(map(str, input().split())) if o[0] == "insert": insert(A, int(o[1])) elif o[0] == "extract": print((extract_max(A))) else: break
def insert(A, k): i = len(A) A.append(k) while i != 0: j = int((i - 1) / 2) if A[j] < A[i]: A[i], A[j] = A[j], A[i] i = j def extract_max(A): k = A[0] A[0] = A[-1] A.pop() n = len(A) p = 0 while True: c = 2 * p + 1 if c >= n: break if c < n - 1 and A[c] < A[c + 1]: c += 1 if A[p] < A[c]: A[p], A[c] = A[c], A[p] p = c return k A = [] while True: o = list(map(str, input().split())) if o[0] == "insert": insert(A, int(o[1])) elif o[0] == "extract": print((extract_max(A))) else: break
p02289
import heapq def main(): q = [] heapq.heapify(q) while True: s = input().split() if s[0] == 'end': break elif s[0] == 'insert': heapq.heappush(q, (-int(s[1]), int(s[1]))) else: p = heapq.heappop(q) print((p[1])) if __name__ == '__main__': main()
import heapq def main(): q = [] heapq.heapify(q) while True: s = input().split() if s[0] == 'end': break elif s[0] == 'insert': heapq.heappush(q, -int(s[1])) else: p = heapq.heappop(q) print((-p)) if __name__ == '__main__': main()
p02289
def maxHeapify(i, node_list): n = len(node_list) if 2*i+1 < n and node_list[2*i+1] > node_list[i]: i_largest = 2*i+1 # node_list[i], node_list[2*i+1] = node_list[2*i+1], node_list[i] else: i_largest = i if 2*i+2 < n and node_list[2*i+2] > node_list[i_largest]: i_largest = 2*i+2 # node_list[i], node_list[2*i+2] = node_list[2*i+2], node_list[i] if i_largest != i: node_list[i], node_list[i_largest] = node_list[i_largest], node_list[i] maxHeapify(i_largest, node_list) def insert_heap(i, node_list): node_list.append(i) n = len(node_list) for i in range(n//2, -1, -1): maxHeapify(i, node_list) def extract_heap(node_list): print((node_list[0])) pop = node_list.pop() n = len(node_list) if n != 0: node_list[0] = pop for i in range(n//2, -1, -1): maxHeapify(i, node_list) import sys input_list = sys.stdin.readlines() node_list = [] for line in input_list: line = line.split() if line[0] == 'end': break elif line[0] == 'extract': extract_heap(node_list) else: insert_heap(int(line[1]), node_list)
def maxHeapify(i, node_list): n = len(node_list) if 2*i+1 < n and node_list[2*i+1] > node_list[i]: i_largest = 2*i+1 else: i_largest = i if 2*i+2 < n and node_list[2*i+2] > node_list[i_largest]: i_largest = 2*i+2 if i_largest != i: node_list[i], node_list[i_largest] = node_list[i_largest], node_list[i] maxHeapify(i_largest, node_list) def insert_heap(i, node_list): node_list.append(i) k = len(node_list) - 1 while(node_list[k] > node_list[(k-1)//2] and k > 0): node_list[k], node_list[(k-1)//2] = node_list[(k-1)//2], node_list[k] k = (k-1)//2 def extract_heap(node_list): print((node_list[0])) pop = node_list.pop() n = len(node_list) if n != 0: node_list[0] = pop maxHeapify(0, node_list) import sys input_list = sys.stdin.readlines() node_list = [] for line in input_list: line = line.split() if line[0] == 'end': break elif line[0] == 'extract': extract_heap(node_list) else: insert_heap(int(line[1]), node_list)
p02289
import sys readline = sys.stdin.readline def maxHeapify(A, i): l = i * 2 + 1 r = i * 2 + 2 if l < n and A[l] > A[i]: largest = l else: largest = i if r < n and A[r] > A[largest]: largest = r if largest != i: A[i], A[largest] = A[largest], A[i] maxHeapify(A, largest) def insert(S, k): S.append(k) i = n - 1 while i > 0 and S[i] > S[(i - 1) // 2]: S[i], S[(i - 1) // 2] = S[(i - 1) // 2], S[i] i = (i - 1) // 2 def extractMax(S): if len(S) == 1: return S.pop() ans = S[0] S[0] = S.pop() maxHeapify(S, 0) return ans A = [] n = 0 while True: s = readline() if s[2] == "d": break elif s[2] == "t": n -= 1 print((extractMax(A))) else: n += 1 insert(A, int(s[7:]))
import sys readline = sys.stdin.readline def maxHeapify(A, i): l = i * 2 + 1 r = i * 2 + 2 if l < n and A[l] > A[i]: largest = l else: largest = i if r < n and A[r] > A[largest]: largest = r if largest != i: A[i], A[largest] = A[largest], A[i] maxHeapify(A, largest) def insert(S, k): S.append(k) i = n - 1 p = (i - 1) // 2 while i > 0 and S[i] > S[p]: S[i], S[p] = S[p], S[i] i = p p = (i - 1) // 2 def extractMax(S): if len(S) == 1: return S.pop() ans = S[0] S[0] = S.pop() maxHeapify(S, 0) return ans A = [] n = 0 while True: s = readline() if s[2] == "d": break elif s[2] == "t": n -= 1 print((extractMax(A))) else: n += 1 insert(A, int(s[7:]))
p02289
import sys readline = sys.stdin.readline def maxHeapify(A, i): l = i * 2 + 1 r = i * 2 + 2 if l < n: largest = l if r < n and A[r] > A[l]: largest = r if A[largest] > A[i]: A[i], A[largest] = A[largest], A[i] maxHeapify(A, largest) def insert(S, k): global n S[n] = k n += 1 i = n - 1 p = (i - 1) // 2 while i > 0 and S[i] > S[p]: S[i], S[p] = S[p], S[i] i = p p = (i - 1) // 2 def extractMax(S): global n if n == 1: n -= 1 return S[0] ans = S[0] n -= 1 S[0] = S[n] maxHeapify(S, 0) return ans A = [0] * 2000000 n = 0 for s in sys.stdin: if s[2] == "s": insert(A, int(s[7:])) elif s[2] == "t": print((extractMax(A))) else: break
import sys readline = sys.stdin.readline def maxHeapify(A, i): l = i * 2 + 1 r = i * 2 + 2 if l < n: largest = l if r < n and A[r] > A[l]: largest = r if A[largest] > A[i]: A[i], A[largest] = A[largest], A[i] maxHeapify(A, largest) def insert(S, k): global n S[n] = k n += 1 i = n - 1 p = (i - 1) // 2 while i > 0 and S[i] > S[p]: S[i], S[p] = S[p], S[i] i = p p = (i - 1) // 2 def extractMax(S): global n if n == 1: n -= 1 return S[0] ans = S[0] n -= 1 S[0] = S[n] i = 0 while True: l = i * 2 + 1 r = i * 2 + 2 if l >= n: break largest = l if r < n and A[r] > A[l]: largest = r if A[largest] > A[i]: A[i], A[largest] = A[largest], A[i] i = largest else: break return ans A = [0] * 2000000 n = 0 for s in sys.stdin: if s[2] == "s": insert(A, int(s[7:])) elif s[2] == "t": print((extractMax(A))) else: break
p02289
import sys def maxHeapify(A, i): l = i * 2 + 1 r = i * 2 + 2 if l < n: largest = l if r < n and A[r] > A[l]: largest = r if A[largest] > A[i]: A[i], A[largest] = A[largest], A[i] maxHeapify(A, largest) def insert(S, k): global n S[n] = k n += 1 i = n - 1 p = (i - 1) // 2 while i > 0 and S[i] > S[p]: S[i], S[p] = S[p], S[i] i = p p = (i - 1) // 2 def extractMax(S): global n if n == 1: n -= 1 return S[0] ans = S[0] n -= 1 S[0] = S[n] i = 0 while True: l = i * 2 + 1 r = i * 2 + 2 if l >= n: break largest = l if r < n and A[r] > A[l]: largest = r if A[largest] > A[i]: A[i], A[largest] = A[largest], A[i] i = largest else: break return ans A = [0] * 2000000 S = [] n = 0 for s in sys.stdin: if s[2] == "s": insert(A, int(s[7:])) elif s[2] == "t": S.append(extractMax(A)) else: break print(("\n".join(map(str, S))))
import sys from heapq import heapify, heappush, heappop hq = [] S = [] for s in sys.stdin: if s[2] == "s": heappush(hq, -int(s[7:])) elif s[2] == "t": S.append(-heappop(hq)) else: break print(("\n".join(map(str, S))))
p02289
from sys import stdin readline = stdin.readline import heapq def main(): heap = [] while True: line = readline() if line[2] == 't': print((heapq.heappop(heap)[1])) elif line[2] == 's': n = int(line.split()[1]) heapq.heappush(heap, (-n, n)) else: break main()
from sys import stdin from heapq import heappop, heappush readline = stdin.readline heap = [] while True: line = readline() if line[1] == 'x':print((-heappop(heap))) elif line[0] == 'i':heappush(heap, -int(line.split()[1])) else:break
p02289
def dw_heap(A,i,length): l = i*2 r = i*2 + 1 largest = i if l < length and A[l] > A[largest]: largest = l if r < length and A[r] > A[largest]: largest = r if largest != i: A[i], A[largest] = A[largest], A[i] dw_heap(A, largest, length) def up_heap(A,i): if i==1: return p = i//2 if A[i] > A[p]: A[i], A[p] = A[p], A[i] up_heap(A,p) def extract(A,last): max_item = A[1] A[1],A[last] = A[last],A[1] dw_heap(A,1,last) return max_item def build_heap(A,length): for i in range(length//2,0,-1): dw_heap(A,i,length) if __name__=='__main__': hp = [None]*2*10**6 i = 1 while True: op = input().split() if op[0] != 'insert': break hp[i] = int(op[1]) i += 1 if op[0] != 'end': build_heap(hp,i) while True: if op[0] == 'end': break if op[0] == 'insert': hp[i] = int(op[1]) up_heap(hp,i) i += 1 else: print((extract(hp,i-1))) i -= 1 op = input().split()
def dw_heap(A,i,length): l = i*2 r = i*2 + 1 largest = i if l < length and A[l] > A[largest]: largest = l if r < length and A[r] > A[largest]: largest = r if largest != i: A[i], A[largest] = A[largest], A[i] dw_heap(A, largest, length) def up_heap(A,i): if i==1: return p = i//2 if A[i] > A[p]: A[i], A[p] = A[p], A[i] up_heap(A,p) def extract(A,last): max_item = A[1] A[1],A[last] = A[last],A[1] dw_heap(A,1,last) return max_item def build_heap(A,length): for i in range(length//2,0,-1): dw_heap(A,i,length) if __name__=='__main__': hp = [None]*(2*10**6) i = 1 j = -1 while True: op = input() if op[0] != 'i': break hp[i] = int(op[7:]) i += 1 if op[2] != 'd': build_heap(hp,i) while True: if op[2] == 'd': break if op[0] == 'i': hp[i] = int(op[7:]) up_heap(hp,i) i += 1 else: hp[j] = extract(hp,i-1) i -= 1 j -= 1 op = input() print(*hp[:j:-1],sep='\n')
p02289
#!/usr/bin/python3 import sys import queue # main q = queue.PriorityQueue() m = 2 * (10 ** 9) while True: s = sys.stdin.readline().split() if s[0].startswith('i'): q.put(m - int(s[1])) elif s[0].startswith('ex'): print((m - q.get())) if s[0] == 'end': exit()
#!/usr/bin/python3 import sys import queue # main q = queue.PriorityQueue() m = 2 * (10 ** 9) S = sys.stdin.readlines() for line in S: s = line.split() if s[0].startswith('i'): q.put(m - int(s[1])) elif s[0].startswith('ex'): print((m - q.get())) if s[0] == 'end': exit()
p02289
#!/usr/bin/python3 import sys import queue # main q = queue.PriorityQueue() m = 2 * (10 ** 9) S = sys.stdin.readlines() for line in S: s = line.split() if s[0].startswith('i'): q.put(m - int(s[1])) elif s[0].startswith('ex'): print((m - q.get())) if s[0] == 'end': exit()
#!/usr/bin/python3 import sys import heapq # main q = [] S = sys.stdin.readlines() for line in S: if line[0].startswith('i'): heapq.heappush(q, -int(line.split()[1])) elif line[1] == 'x': print((-heapq.heappop(q))) else: exit()
p02289
import sys import heapq heap = [] while True: input_line = sys.stdin.readline() input_line = input_line.strip().split(' ') if input_line[0][0] == 'i' : heapq.heappush(heap,-int(input_line[1])) heapq.heapify(heap) elif input_line[0][1] == 'x' : print((-int(heapq.heappop(heap)))) else : break
import sys import heapq heap = [] while True: input_line = sys.stdin.readline() input_line = input_line.strip().split(' ') if input_line[0][0] == 'i' : heapq.heappush(heap,-int(input_line[1])) elif input_line[0][1] == 'x' : print((-int(heapq.heappop(heap)))) else : break
p02289
# -*- coding: utf-8 -*- from heapq import heappush, heappop A = [] inp = [None] while inp[0] != "end": inp = [n for n in input().split()] if inp[0] == "insert": heappush(A, -int(inp[1])) elif inp[0] == "extract": print((-heappop(A)))
# -*- coding: utf-8 -*- from heapq import heappush, heappop A = [] inp = [None] while inp[0] != "end": inp = input().split() if inp[0] == "insert": heappush(A, -int(inp[1])) elif inp[0] == "extract": print((-heappop(A)))
p02289