output_description
stringlengths
15
956
submission_id
stringlengths
10
10
status
stringclasses
3 values
problem_id
stringlengths
6
6
input_description
stringlengths
9
2.55k
attempt
stringlengths
1
13.7k
problem_description
stringlengths
7
5.24k
samples
stringlengths
2
2.72k
Print the lexicographically smallest string after performing exactly K operations on s. * * *
s149283408
Runtime Error
p03994
The input is given from Standard Input in the following format: s K
a=[ord(i) for i in input()] s = int(input()) for i in range(len(a)): if 26+97-a[i]<=s && a[i]!=97: aa=a[i] a[i]=97 s-=26+97-aa if s>0: a[-1]+=s if a[-1]>97+25: a[-1]=(a[-1]-97)%26+97 b="" for i in a: b+=chr(i) print(b)
Statement Mr. Takahashi has a string s consisting of lowercase English letters. He repeats the following operation on s exactly K times. * Choose an arbitrary letter on s and change that letter to the next alphabet. Note that the next letter of `z` is `a`. For example, if you perform an operation for the second letter on `aaz`, `aaz` becomes `abz`. If you then perform an operation for the third letter on `abz`, `abz` becomes `aba`. Mr. Takahashi wants to have the lexicographically smallest string after performing exactly K operations on s. Find the such string.
[{"input": "xyz\n 4", "output": "aya\n \n\nFor example, you can perform the following operations: `xyz`, `yyz`, `zyz`,\n`ayz`, `aya`.\n\n* * *"}, {"input": "a\n 25", "output": "z\n \n\nYou have to perform exactly K operations.\n\n* * *"}, {"input": "codefestival\n 100", "output": "aaaafeaaivap"}]
Print the lexicographically smallest string after performing exactly K operations on s. * * *
s157005519
Accepted
p03994
The input is given from Standard Input in the following format: s K
import sys from sys import exit from collections import deque from copy import deepcopy from bisect import bisect_left, bisect_right, insort_left, insort_right from heapq import heapify, heappop, heappush from itertools import product, permutations, combinations, combinations_with_replacement from functools import reduce from math import gcd, sin, cos, tan, asin, acos, atan, degrees, radians sys.setrecursionlimit(10**6) INF = 10**20 eps = 1.0e-20 MOD = 10**9 + 7 def lcm(x, y): return x * y // gcd(x, y) def lgcd(l): return reduce(gcd, l) def llcm(l): return reduce(lcm, l) def powmod(n, i, mod=MOD): return pow(n, mod - 1 + i, mod) if i < 0 else pow(n, i, mod) def div2(x): return x.bit_length() def div10(x): return len(str(x)) - (x == 0) def intput(): return int(input()) def mint(): return map(int, input().split()) def lint(): return list(map(int, input().split())) def ilint(): return int(input()), list(map(int, input().split())) def judge(x, l=["Yes", "No"]): print(l[0] if x else l[1]) def lprint(l, sep="\n"): for x in l: print(x, end=sep) def ston(c, c0="a"): return ord(c) - ord(c0) def ntos(x, c0="a"): return chr(x + ord(c0)) class counter(dict): def __init__(self, *args): super().__init__(args) def add(self, x, d=1): self.setdefault(x, 0) self[x] += d def list(self): l = [] for k in self: l.extend([k] * self[k]) return l class comb: def __init__(self, n, mod=None): self.l = [1] self.n = n self.mod = mod def get(self, k): l, n, mod = self.l, self.n, self.mod k = n - k if k > n // 2 else k while len(l) <= k: i = len(l) l.append( l[i - 1] * (n + 1 - i) // i if mod == None else (l[i - 1] * (n + 1 - i) * powmod(i, -1, mod)) % mod ) return l[k] def pf(x, mode="counter"): C = counter() p = 2 while x > 1: k = 0 while x % p == 0: x //= p k += 1 if k > 0: C.add(p, k) p = p + 2 - (p == 2) if p * p < x else x if mode == "counter": return C S = set([1]) for k in C: T = deepcopy(S) for x in T: for i in range(1, C[k] + 1): S.add(x * (k**i)) if mode == "set": return S if mode == "list": return sorted(list(S)) s = input() N = len(s) K = intput() ans = [] for i in range(N - 1): if (26 - ston(s[i])) % 26 <= K: ans.append("a") K -= (26 - ston(s[i])) % 26 else: ans.append(s[i]) ans.append(ntos((ston(s[N - 1]) + K) % 26)) lprint(ans, "")
Statement Mr. Takahashi has a string s consisting of lowercase English letters. He repeats the following operation on s exactly K times. * Choose an arbitrary letter on s and change that letter to the next alphabet. Note that the next letter of `z` is `a`. For example, if you perform an operation for the second letter on `aaz`, `aaz` becomes `abz`. If you then perform an operation for the third letter on `abz`, `abz` becomes `aba`. Mr. Takahashi wants to have the lexicographically smallest string after performing exactly K operations on s. Find the such string.
[{"input": "xyz\n 4", "output": "aya\n \n\nFor example, you can perform the following operations: `xyz`, `yyz`, `zyz`,\n`ayz`, `aya`.\n\n* * *"}, {"input": "a\n 25", "output": "z\n \n\nYou have to perform exactly K operations.\n\n* * *"}, {"input": "codefestival\n 100", "output": "aaaafeaaivap"}]
Print the lexicographically smallest string after performing exactly K operations on s. * * *
s068068536
Accepted
p03994
The input is given from Standard Input in the following format: s K
import sys import heapq import re from itertools import permutations from bisect import bisect_left, bisect_right from collections import Counter, deque from math import factorial, sqrt, ceil, gcd from functools import lru_cache, reduce from decimal import Decimal INF = 1 << 60 MOD = 1000000007 sys.setrecursionlimit(10**7) # UnionFind class UnionFind: def __init__(self, n): self.n = n self.parents = [-1] * n def find(self, x): if self.parents[x] < 0: return x else: self.parents[x] = self.find(self.parents[x]) return self.parents[x] def union(self, x, y): x = self.find(x) y = self.find(y) if x == y: return if self.parents[x] > self.parents[y]: x, y = y, x self.parents[x] += self.parents[y] self.parents[y] = x def size(self, x): return -self.parents[self.find(x)] def same(self, x, y): return self.find(x) == self.find(y) def members(self, x): root = self.find(x) return [i for i in range(self.n) if self.find(i) == root] def roots(self): return [i for i, x in enumerate(self.parents) if x < 0] def group_count(self): return len(self.roots()) def all_group_members(self): return {r: self.members(r) for r in self.roots()} def __str__(self): return "\n".join("{}: {}".format(r, self.members(r)) for r in self.roots()) # ダイクストラ def dijkstra_heap(s, edge, n): # 始点sから各頂点への最短距離 d = [10**20] * n used = [True] * n # True:未確定 d[s] = 0 used[s] = False edgelist = [] for a, b in edge[s]: heapq.heappush(edgelist, a * (10**6) + b) while len(edgelist): minedge = heapq.heappop(edgelist) # まだ使われてない頂点の中から最小の距離のものを探す if not used[minedge % (10**6)]: continue v = minedge % (10**6) d[v] = minedge // (10**6) used[v] = False for e in edge[v]: if used[e[1]]: heapq.heappush(edgelist, (e[0] + d[v]) * (10**6) + e[1]) return d # 素因数分解 def factorization(n): arr = [] temp = n for i in range(2, int(-(-(n**0.5) // 1)) + 1): if temp % i == 0: cnt = 0 while temp % i == 0: cnt += 1 temp //= i arr.append([i, cnt]) if temp != 1: arr.append([temp, 1]) if arr == []: arr.append([n, 1]) return arr # 2数の最小公倍数 def lcm(x, y): return (x * y) // gcd(x, y) # リストの要素の最小公倍数 def lcm_list(numbers): return reduce(lcm, numbers, 1) # リストの要素の最大公約数 def gcd_list(numbers): return reduce(gcd, numbers) # 素数判定 def is_prime(n): if n <= 1: return False p = 2 while True: if p**2 > n: break if n % p == 0: return False p += 1 return True # limit以下の素数を列挙 def eratosthenes(limit): A = [i for i in range(2, limit + 1)] P = [] while True: prime = min(A) if prime > sqrt(limit): break P.append(prime) i = 0 while i < len(A): if A[i] % prime == 0: A.pop(i) continue i += 1 for a in A: P.append(a) return P # 同じものを含む順列 def permutation_with_duplicates(L): if L == []: return [[]] else: ret = [] # set(集合)型で重複を削除、ソート S = sorted(set(L)) for i in S: data = L[:] data.remove(i) for j in permutation_with_duplicates(data): ret.append([i] + j) return ret def make_divisors(n): lower_divisors, upper_divisors = [], [] i = 1 while i * i <= n: if n % i == 0: lower_divisors.append(i) if i != n // i: upper_divisors.append(n // i) i += 1 return lower_divisors + upper_divisors[::-1] # ここから書き始める s = input() k = int(input()) cnt = 0 n = len(s) ans = [i for i in s] for i in range(n): # print("cnt =", cnt) if cnt == k: break cost = ord("z") + 1 - ord(ans[i]) if i == n - 1: cost2 = cost - 1 # print(k - cnt <= cost2) if k - cnt <= cost2: ans[i] = chr(ord(ans[i]) + k - cnt) else: k2 = k - cnt - cost2 if k2 % 26 == 0: ans[i] = "z" else: ans[i] = chr(ord("a") + k2 % 26 - 1) break if ans[i] == "a": continue if k - cnt >= cost: cnt += cost ans[i] = "a" print("".join(ans))
Statement Mr. Takahashi has a string s consisting of lowercase English letters. He repeats the following operation on s exactly K times. * Choose an arbitrary letter on s and change that letter to the next alphabet. Note that the next letter of `z` is `a`. For example, if you perform an operation for the second letter on `aaz`, `aaz` becomes `abz`. If you then perform an operation for the third letter on `abz`, `abz` becomes `aba`. Mr. Takahashi wants to have the lexicographically smallest string after performing exactly K operations on s. Find the such string.
[{"input": "xyz\n 4", "output": "aya\n \n\nFor example, you can perform the following operations: `xyz`, `yyz`, `zyz`,\n`ayz`, `aya`.\n\n* * *"}, {"input": "a\n 25", "output": "z\n \n\nYou have to perform exactly K operations.\n\n* * *"}, {"input": "codefestival\n 100", "output": "aaaafeaaivap"}]
Print the lexicographically smallest string after performing exactly K operations on s. * * *
s406979394
Runtime Error
p03994
The input is given from Standard Input in the following format: s K
s=str(input()) k=int(input()) lista=[] for i in range(26): lista.append(chr(ord('a') + i)) #print(lista) s_list=list(s) len_s=len(list(s)) temp1=k temp2=0 for i in range(len_s): if (123-ord(s_list[i])<=temp1): temp1=temp1-(123-ord(s_list[i])) s_list[i]="a" if temp1!=0: # print(temp1) temp2=temp1%26+ord(s_list[-1]) if temp2>122: temp2=temp2-122+96 s_list[-1]=chr(temp2) #print(temp2) #print(str(s_list)) for i in range(len(s_list)): print(s_list[i],end="") print(\n)
Statement Mr. Takahashi has a string s consisting of lowercase English letters. He repeats the following operation on s exactly K times. * Choose an arbitrary letter on s and change that letter to the next alphabet. Note that the next letter of `z` is `a`. For example, if you perform an operation for the second letter on `aaz`, `aaz` becomes `abz`. If you then perform an operation for the third letter on `abz`, `abz` becomes `aba`. Mr. Takahashi wants to have the lexicographically smallest string after performing exactly K operations on s. Find the such string.
[{"input": "xyz\n 4", "output": "aya\n \n\nFor example, you can perform the following operations: `xyz`, `yyz`, `zyz`,\n`ayz`, `aya`.\n\n* * *"}, {"input": "a\n 25", "output": "z\n \n\nYou have to perform exactly K operations.\n\n* * *"}, {"input": "codefestival\n 100", "output": "aaaafeaaivap"}]
Print the lexicographically smallest string after performing exactly K operations on s. * * *
s722495282
Runtime Error
p03994
The input is given from Standard Input in the following format: s K
#include <bits/stdc++.h> using namespace std; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep2(i, s, n) for (int i = (s); i < (int)(n); i++) int main() { #ifdef DEBUG cout << "DEBUG MODE" << endl; ifstream in("input.txt"); //for debug cin.rdbuf(in.rdbuf()); //for debug #endif string s; cin >> s; int k, a; cin >> k; rep(i, s.length()-1){ a = 'z' - s[i]; if (k > a){ k -= a + 1; s[i] = 'a'; } } k %= 26; s[s.length()-1] += k; if (s[s.length()-1] > 'z') s[s.length()-1] -= 26; cout << s << endl; return 0; }
Statement Mr. Takahashi has a string s consisting of lowercase English letters. He repeats the following operation on s exactly K times. * Choose an arbitrary letter on s and change that letter to the next alphabet. Note that the next letter of `z` is `a`. For example, if you perform an operation for the second letter on `aaz`, `aaz` becomes `abz`. If you then perform an operation for the third letter on `abz`, `abz` becomes `aba`. Mr. Takahashi wants to have the lexicographically smallest string after performing exactly K operations on s. Find the such string.
[{"input": "xyz\n 4", "output": "aya\n \n\nFor example, you can perform the following operations: `xyz`, `yyz`, `zyz`,\n`ayz`, `aya`.\n\n* * *"}, {"input": "a\n 25", "output": "z\n \n\nYou have to perform exactly K operations.\n\n* * *"}, {"input": "codefestival\n 100", "output": "aaaafeaaivap"}]
Print the lexicographically smallest string after performing exactly K operations on s. * * *
s414932737
Runtime Error
p03994
The input is given from Standard Input in the following format: s K
jkl
Statement Mr. Takahashi has a string s consisting of lowercase English letters. He repeats the following operation on s exactly K times. * Choose an arbitrary letter on s and change that letter to the next alphabet. Note that the next letter of `z` is `a`. For example, if you perform an operation for the second letter on `aaz`, `aaz` becomes `abz`. If you then perform an operation for the third letter on `abz`, `abz` becomes `aba`. Mr. Takahashi wants to have the lexicographically smallest string after performing exactly K operations on s. Find the such string.
[{"input": "xyz\n 4", "output": "aya\n \n\nFor example, you can perform the following operations: `xyz`, `yyz`, `zyz`,\n`ayz`, `aya`.\n\n* * *"}, {"input": "a\n 25", "output": "z\n \n\nYou have to perform exactly K operations.\n\n* * *"}, {"input": "codefestival\n 100", "output": "aaaafeaaivap"}]
Print the lexicographically smallest string after performing exactly K operations on s. * * *
s215589209
Accepted
p03994
The input is given from Standard Input in the following format: s K
# -*- coding: utf-8 -*- import sys import math import os import itertools import string import heapq import _collections from collections import Counter from collections import defaultdict from functools import lru_cache import bisect import re import queue from decimal import * class Scanner: @staticmethod def int(): return int(sys.stdin.readline().rstrip()) @staticmethod def string(): return sys.stdin.readline().rstrip() @staticmethod def map_int(): return [int(x) for x in Scanner.string().split()] @staticmethod def string_list(n): return [input() for i in range(n)] @staticmethod def int_list_list(n): return [Scanner.map_int() for i in range(n)] @staticmethod def int_cols_list(n): return [int(input()) for i in range(n)] class Math: @staticmethod def gcd(a, b): if b == 0: return a return Math.gcd(b, a % b) @staticmethod def lcm(a, b): return (a * b) // Math.gcd(a, b) @staticmethod def divisor(n): res = [] i = 1 for i in range(1, int(n**0.5) + 1): if n % i == 0: res.append(i) if i != n // i: res.append(n // i) return res @staticmethod def round_up(a, b): return -(-a // b) @staticmethod def is_prime(n): if n < 2: return False if n == 2: return True if n % 2 == 0: return False d = int(n**0.5) + 1 for i in range(3, d + 1, 2): if n % i == 0: return False return True def pop_count(x): x = x - ((x >> 1) & 0x5555555555555555) x = (x & 0x3333333333333333) + ((x >> 2) & 0x3333333333333333) x = (x + (x >> 4)) & 0x0F0F0F0F0F0F0F0F x = x + (x >> 8) x = x + (x >> 16) x = x + (x >> 32) return x & 0x0000007F MOD = int(1e09) + 7 INF = int(1e15) def solve(): S = list(Scanner.string()) K = Scanner.int() i = 0 while i < len(S): c = S[i] n = ord(c) - ord("a") if n > 0 and 26 - n <= K: c = "a" K -= 26 - n S[i] = c i += 1 if K > 0: c = S[-1] for _ in range(K % 26): c = chr(ord(c) + 1) if c == chr(ord("z") + 1): c = "a" S[-1] = c print("".join(S)) def main(): # sys.stdin = open("sample.txt") solve() if __name__ == "__main__": main()
Statement Mr. Takahashi has a string s consisting of lowercase English letters. He repeats the following operation on s exactly K times. * Choose an arbitrary letter on s and change that letter to the next alphabet. Note that the next letter of `z` is `a`. For example, if you perform an operation for the second letter on `aaz`, `aaz` becomes `abz`. If you then perform an operation for the third letter on `abz`, `abz` becomes `aba`. Mr. Takahashi wants to have the lexicographically smallest string after performing exactly K operations on s. Find the such string.
[{"input": "xyz\n 4", "output": "aya\n \n\nFor example, you can perform the following operations: `xyz`, `yyz`, `zyz`,\n`ayz`, `aya`.\n\n* * *"}, {"input": "a\n 25", "output": "z\n \n\nYou have to perform exactly K operations.\n\n* * *"}, {"input": "codefestival\n 100", "output": "aaaafeaaivap"}]
Print the lexicographically smallest string after performing exactly K operations on s. * * *
s494336528
Accepted
p03994
The input is given from Standard Input in the following format: s K
w = input() nw = len(w) lw = list(w) n = int(input()) alpha = "qwertyuiopasdfghjklzxcvbnm" l = sorted(list(alpha)) d = {} for i in range(26): d[l[i]] = i num = n count = 0 while num > 0 and count < nw: if lw[count] == "a": count += 1 else: letter = lw[count] if 27 - d[letter] - 1 <= num: num -= 27 - d[letter] - 1 lw[count] = "a" count += 1 else: count += 1 if num > 0: a = lw[-1] num1 = d[a] lw[-1] = l[(num1 + num) % 26] print("".join(lw))
Statement Mr. Takahashi has a string s consisting of lowercase English letters. He repeats the following operation on s exactly K times. * Choose an arbitrary letter on s and change that letter to the next alphabet. Note that the next letter of `z` is `a`. For example, if you perform an operation for the second letter on `aaz`, `aaz` becomes `abz`. If you then perform an operation for the third letter on `abz`, `abz` becomes `aba`. Mr. Takahashi wants to have the lexicographically smallest string after performing exactly K operations on s. Find the such string.
[{"input": "xyz\n 4", "output": "aya\n \n\nFor example, you can perform the following operations: `xyz`, `yyz`, `zyz`,\n`ayz`, `aya`.\n\n* * *"}, {"input": "a\n 25", "output": "z\n \n\nYou have to perform exactly K operations.\n\n* * *"}, {"input": "codefestival\n 100", "output": "aaaafeaaivap"}]
Print the lexicographically smallest string after performing exactly K operations on s. * * *
s879178950
Runtime Error
p03994
The input is given from Standard Input in the following format: s K
#n,x=map(int,input().split()) #a=[int(i) for i in input().split()] import string alp=string.ascii_lowercase di={} for i in range(26): di[alp[i]]=i s=input() a=[] for i in s: a.append(i) l=a.pop() if a: a=a[::-1] k=int(input()) ans='' i=0 while a: t=a.pop() d=(26-di[t])%26 if d<=k: k-=d #ans+='a' else: #ans+=t i+=1 kk=k%26 #ans+=alp[(alp.index(l)+kk)%26] print(ans)
Statement Mr. Takahashi has a string s consisting of lowercase English letters. He repeats the following operation on s exactly K times. * Choose an arbitrary letter on s and change that letter to the next alphabet. Note that the next letter of `z` is `a`. For example, if you perform an operation for the second letter on `aaz`, `aaz` becomes `abz`. If you then perform an operation for the third letter on `abz`, `abz` becomes `aba`. Mr. Takahashi wants to have the lexicographically smallest string after performing exactly K operations on s. Find the such string.
[{"input": "xyz\n 4", "output": "aya\n \n\nFor example, you can perform the following operations: `xyz`, `yyz`, `zyz`,\n`ayz`, `aya`.\n\n* * *"}, {"input": "a\n 25", "output": "z\n \n\nYou have to perform exactly K operations.\n\n* * *"}, {"input": "codefestival\n 100", "output": "aaaafeaaivap"}]
If a bracket sequence can be formed by concatenating all the N strings in some order, print `Yes`; otherwise, print `No`. * * *
s565558685
Wrong Answer
p02686
Input is given from Standard Input in the following format: N S_1 : S_N
N = int(input()) Lflg = 0 Rflg = 0 ryohoCnt = 0 LOver = 0 for i in range(N): S = input() lnum = S.count("(") - S.count(")") konkaiflg = 0 if Lflg < 2 or ryohoCnt < 2: if S[0] == "(" and lnum >= 0: f = 0 for j in range(len(S)): if S[0:j].count("(") - S[0:j].count(")") < 0: f = 1 break if f == 0: Lflg = Lflg + 1 konkaiflg = 1 if Rflg < 2 or ryohoCnt < 2: if S[-1] == ")" and lnum <= 0: f = 0 for j in range(len(S)): if S[j * (-1)].count("(") - S[j * (-1)].count(")") > 0: f = 1 break if f == 0: Rflg = Rflg + 1 if konkaiflg == 1: ryohoCnt = ryohoCnt + 1 LOver = LOver + lnum if ( Lflg >= 1 and Rflg >= 1 and LOver == 0 and not (ryohoCnt == 1 and Lflg == 1 and Rflg == 1) ): print("Yes") else: print("No")
Statement A **bracket sequence** is a string that is one of the following: 1. An empty string; 2. The concatenation of `(`, A, and `)` in this order, for some bracket sequence A ; 3. The concatenation of A and B in this order, for some non-empty bracket sequences A and B / Given are N strings S_i. Can a bracket sequence be formed by concatenating all the N strings in some order?
[{"input": "2\n )\n (()", "output": "Yes\n \n\nConcatenating `(()` and `)` in this order forms a bracket sequence.\n\n* * *"}, {"input": "2\n )(\n ()", "output": "No\n \n\n* * *"}, {"input": "4\n ((()))\n ((((((\n ))))))\n ()()()", "output": "Yes\n \n\n* * *"}, {"input": "3\n (((\n )\n )", "output": "No"}]
If a bracket sequence can be formed by concatenating all the N strings in some order, print `Yes`; otherwise, print `No`. * * *
s362688916
Wrong Answer
p02686
Input is given from Standard Input in the following format: N S_1 : S_N
print("Yes")
Statement A **bracket sequence** is a string that is one of the following: 1. An empty string; 2. The concatenation of `(`, A, and `)` in this order, for some bracket sequence A ; 3. The concatenation of A and B in this order, for some non-empty bracket sequences A and B / Given are N strings S_i. Can a bracket sequence be formed by concatenating all the N strings in some order?
[{"input": "2\n )\n (()", "output": "Yes\n \n\nConcatenating `(()` and `)` in this order forms a bracket sequence.\n\n* * *"}, {"input": "2\n )(\n ()", "output": "No\n \n\n* * *"}, {"input": "4\n ((()))\n ((((((\n ))))))\n ()()()", "output": "Yes\n \n\n* * *"}, {"input": "3\n (((\n )\n )", "output": "No"}]
If a bracket sequence can be formed by concatenating all the N strings in some order, print `Yes`; otherwise, print `No`. * * *
s197013195
Wrong Answer
p02686
Input is given from Standard Input in the following format: N S_1 : S_N
#!/usr/bin/env python3 import sys YES = "Yes" # type: str NO = "No" # type: str def iterate_tokens(): for line in sys.stdin: for word in line.split(): yield word def solve(N: int): tokens = iterate_tokens() left_all = 0 right_all = 0 for _ in range(N): # print("all", left_all, right_all) s = next(tokens) left = 0 right = 0 for ss in s: # print(ss) # print(left, right) if ss == ")": if right > 0: right -= 1 else: left += 1 else: right += 1 # print(left, right) new_left_all_right = max(0, left_all - right) + left new_right_all_right = max(0, right - left_all) + right_all # print(new_left_all_right, new_right_all_right) new_left_all_left = max(0, right_all - left) + right new_right_all_left = max(0, left - right_all) + left_all # print(new_left_all_left, new_right_all_left) if ( new_left_all_right + new_right_all_right > new_left_all_left + new_right_all_left ): left_all = new_left_all_left right_all = new_right_all_left else: left_all = new_left_all_right right_all = new_right_all_right if left_all == 0 and right_all == 0: print(YES) else: print(NO) return # Generated by 1.1.6 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(): tokens = iterate_tokens() N = int(next(tokens)) # type: int solve(N) if __name__ == "__main__": main()
Statement A **bracket sequence** is a string that is one of the following: 1. An empty string; 2. The concatenation of `(`, A, and `)` in this order, for some bracket sequence A ; 3. The concatenation of A and B in this order, for some non-empty bracket sequences A and B / Given are N strings S_i. Can a bracket sequence be formed by concatenating all the N strings in some order?
[{"input": "2\n )\n (()", "output": "Yes\n \n\nConcatenating `(()` and `)` in this order forms a bracket sequence.\n\n* * *"}, {"input": "2\n )(\n ()", "output": "No\n \n\n* * *"}, {"input": "4\n ((()))\n ((((((\n ))))))\n ()()()", "output": "Yes\n \n\n* * *"}, {"input": "3\n (((\n )\n )", "output": "No"}]
If a bracket sequence can be formed by concatenating all the N strings in some order, print `Yes`; otherwise, print `No`. * * *
s438911296
Wrong Answer
p02686
Input is given from Standard Input in the following format: N S_1 : S_N
import bisect import sys from collections import defaultdict input = sys.stdin.readline class Node: def __init__(self, value, index): self.value = value self.index = index def __str__(self): return "val : " + str(self.value) + " index : " + str(self.index) # 0-indexed SegmentTree class SegmentTree: def __init__(self, N, default_list, default_value=-(10**10)): self.N0 = pow(2, (N - 1).bit_length()) self.nodes = [ Node(default_value, i + 1 - self.N0) for i in range(2 * self.N0 - 1) ] for i in reversed(range(2 * self.N0 - 1)): ind = i + 1 - self.N0 if ind >= N: self.nodes[i].value = default_value elif N > ind >= 0: self.nodes[i].value = default_list[ind] else: self.nodes[i] = self.process( self.nodes[i * 2 + 1], self.nodes[i * 2 + 2] ) def __str__(self): return ( "[" + ", ".join( map(str, [self.nodes[i + self.N0 - 1].value for i in range(self.N0)]) ) + "]" ) def query(self, L, R): # [L,R)の値 retnode = Node(-(10**10), -(10**10)) L += self.N0 R += self.N0 while L < R: if R & 1: R -= 1 retnode = self.process(retnode, self.nodes[R - 1]) if L & 1: retnode = self.process(retnode, self.nodes[L - 1]) L += 1 L >>= 1 R >>= 1 return retnode def process(self, node_x, node_y): # x,yが子の時,親に返る値 if node_x.value > node_y.value: return node_x else: return node_y def update(self, i, x): i += self.N0 - 1 self.nodes[i] = Node(x, i + 1 - self.N0) while i: i = (i - 1) // 2 self.nodes[i] = self.process(self.nodes[i * 2 + 1], self.nodes[i * 2 + 2]) N = int(input()) ss = [input().replace("\n", "") for _ in range(N)] def calc(S): tmp = 0 MIN = 0 for s in S: if s == "(": tmp += 1 else: tmp -= 1 MIN = min(tmp, MIN) return -MIN, tmp cnts = [] for s in ss: down, up = calc(s) cnts.append((down, up, s)) cnts.sort() # print(cnts) ups = [] downs = [] rights = defaultdict(int) for i, (d, u, s) in enumerate(cnts): downs.append(d) ups.append(u) ST = SegmentTree(N, ups) tmp = 0 for _ in range(N): R = bisect.bisect_right(downs, tmp) # print(tmp, R) node = ST.query(0, R) ST.update(node.index, -(10**10)) tmp += node.value if tmp < 0: print("No") sys.exit() if tmp == 0: print("Yes") else: print("No")
Statement A **bracket sequence** is a string that is one of the following: 1. An empty string; 2. The concatenation of `(`, A, and `)` in this order, for some bracket sequence A ; 3. The concatenation of A and B in this order, for some non-empty bracket sequences A and B / Given are N strings S_i. Can a bracket sequence be formed by concatenating all the N strings in some order?
[{"input": "2\n )\n (()", "output": "Yes\n \n\nConcatenating `(()` and `)` in this order forms a bracket sequence.\n\n* * *"}, {"input": "2\n )(\n ()", "output": "No\n \n\n* * *"}, {"input": "4\n ((()))\n ((((((\n ))))))\n ()()()", "output": "Yes\n \n\n* * *"}, {"input": "3\n (((\n )\n )", "output": "No"}]
If a bracket sequence can be formed by concatenating all the N strings in some order, print `Yes`; otherwise, print `No`. * * *
s602722918
Runtime Error
p02686
Input is given from Standard Input in the following format: N S_1 : S_N
from functools import reduce from itertools import permutations def f(s): while True: t = s.replace("()", "") if t == s: return s s = t N = int(input()) S = [input() for _ in range(N)] l = 0 r = 0 for s in S: t = s.count("(") l += t r += len(s) - t if l != r: print("No") exit() S = [s for s in map(f, S) if s != ""] if len(S) == 0: print("Yes") exit() lS = [s for s in S if s[0] == "("] rS = [s for s in S if s[0] == ")"] ld = {} for s in lS: ld.setdefault(s, 0) ld[s] += 1 rd = {} for s in rS: rd.setdefault(s, 0) rd[s] += 1 for k1 in ld: for k2 in rd.keys(): if f(k1 + k2) != "": continue t = max(ld[k1], rd[k2]) ld[k1] -= t rd[k2] -= t if len(ld) == 0 and len(rd) == 0: print("Yes") exit() SS = [] for k in ld: for i in range(ld[k]): SS.append(k) for k in rd: for i in range(rd[k]): SS.append(k) for ss in permutations(SS, len(SS)): t = reduce(lambda x, y: x + y, ss) if f(t) == "": print("Yes") exit() print("No")
Statement A **bracket sequence** is a string that is one of the following: 1. An empty string; 2. The concatenation of `(`, A, and `)` in this order, for some bracket sequence A ; 3. The concatenation of A and B in this order, for some non-empty bracket sequences A and B / Given are N strings S_i. Can a bracket sequence be formed by concatenating all the N strings in some order?
[{"input": "2\n )\n (()", "output": "Yes\n \n\nConcatenating `(()` and `)` in this order forms a bracket sequence.\n\n* * *"}, {"input": "2\n )(\n ()", "output": "No\n \n\n* * *"}, {"input": "4\n ((()))\n ((((((\n ))))))\n ()()()", "output": "Yes\n \n\n* * *"}, {"input": "3\n (((\n )\n )", "output": "No"}]
If there is no permutation that satisfies the conditions, print `NO`. If there is such a permutation, print `YES` in the first line. Then, print (P_0,\ P_1,\ ...\ P_{2^N-1}) in the second line, with spaces in between. If there are multiple solutions, any of them is accepted. * * *
s019953816
Runtime Error
p03097
Input is given from Standard Input in the following format: N A B
mod = 1000000007 N = int(input()) C = [] for i in range(N): c = int(input()) if i == 0 or C[-1] != c: C.append(c) cases = [1] * (len(C) + 1) indexes = dict() for i in range(1, 1 + len(C)): c = C[i - 1] if c not in indexes: cases[i] = cases[i - 1] else: cases[i] = (cases[i - 1] + cases[indexes[c]]) % mod indexes[c] = i print(cases[len(C)])
Statement You are given integers N,\ A and B. Determine if there exists a permutation (P_0,\ P_1,\ ...\ P_{2^N-1}) of (0,\ 1,\ ...\ 2^N-1) that satisfies all of the following conditions, and create one such permutation if it exists. * P_0=A * P_{2^N-1}=B * For all 0 \leq i < 2^N-1, the binary representations of P_i and P_{i+1} differ by exactly one bit.
[{"input": "2 1 3", "output": "YES\n 1 0 2 3\n \n\nThe binary representation of P=(1,0,2,3) is (01,00,10,11), where any two\nadjacent elements differ by exactly one bit.\n\n* * *"}, {"input": "3 2 1", "output": "NO"}]
If there is no permutation that satisfies the conditions, print `NO`. If there is such a permutation, print `YES` in the first line. Then, print (P_0,\ P_1,\ ...\ P_{2^N-1}) in the second line, with spaces in between. If there are multiple solutions, any of them is accepted. * * *
s040779455
Wrong Answer
p03097
Input is given from Standard Input in the following format: N A B
n, a, b = map(int, input().split()) if bin(a).count("1") % 2 == bin(b).count("1") % 2: print("NO") exit() # グレイコードのリスト生成 gray = [0] * (1 << n) for i in range(1 << n): gray[i] = i ^ (i >> 1) # グレイコードリストでのa, bの位置探索 ind_a, ind_b = -1, -1 for i in range(1 << n): if gray[i] == a: ind_a = i if gray[i] == b: ind_b = i if ind_a > ind_b: ind_a, ind_b = ind_b, ind_a # a->b までの距離と b->a までの距離でより長い方をベースに使う res1 = [gray[i] for i in range(ind_a, ind_b + 1)] res2 = [gray[i] for i in range(ind_b, len(gray))] + [ gray[i] for i in range(0, ind_a + 1) ] if len(res1) > len(res2): res = res1[0:] nokori = res2[1:-1] else: res = res2[0:] nokori = res1[1:-1] # 余ったほうをベースに加えるための整理(cnt1で分類) nokori_memo = {} for i in range(0, len(nokori), 2): tmp = nokori[i : i + 2] cnt0 = bin(tmp[0]).count("1") cnt1 = bin(tmp[1]).count("1") if (cnt0, cnt1) not in nokori_memo: nokori_memo[cnt0, cnt1] = [] nokori_memo[cnt0, cnt1].append(tmp) # ベースとあまりをマージ ans = [] while res: num = res.pop() ans.append(num) num = bin(num).count("1") while (num + 1, num) in nokori_memo and nokori_memo[(num + 1, num)]: tmp = nokori_memo[(num + 1, num)].pop() ans.append(tmp[0]) ans.append(tmp[1]) while (num - 1, num) in nokori_memo and nokori_memo[(num - 1, num)]: tmp = nokori_memo[(num - 1, num)].pop() ans.append(tmp[0]) ans.append(tmp[1]) while (num, num + 1) in nokori_memo and nokori_memo[(num, num + 1)]: tmp = nokori_memo[(num, num + 1)].pop() ans.append(tmp[1]) ans.append(tmp[0]) while (num, num - 1) in nokori_memo and nokori_memo[(num, num - 1)]: tmp = nokori_memo[(num, num - 1)].pop() ans.append(tmp[1]) ans.append(tmp[0]) print("YES") if ans[0] == a: print(*ans) else: print(*ans[::-1])
Statement You are given integers N,\ A and B. Determine if there exists a permutation (P_0,\ P_1,\ ...\ P_{2^N-1}) of (0,\ 1,\ ...\ 2^N-1) that satisfies all of the following conditions, and create one such permutation if it exists. * P_0=A * P_{2^N-1}=B * For all 0 \leq i < 2^N-1, the binary representations of P_i and P_{i+1} differ by exactly one bit.
[{"input": "2 1 3", "output": "YES\n 1 0 2 3\n \n\nThe binary representation of P=(1,0,2,3) is (01,00,10,11), where any two\nadjacent elements differ by exactly one bit.\n\n* * *"}, {"input": "3 2 1", "output": "NO"}]
If there is no permutation that satisfies the conditions, print `NO`. If there is such a permutation, print `YES` in the first line. Then, print (P_0,\ P_1,\ ...\ P_{2^N-1}) in the second line, with spaces in between. If there are multiple solutions, any of them is accepted. * * *
s437159557
Wrong Answer
p03097
Input is given from Standard Input in the following format: N A B
N, A, B = [int(i) for i in input().split()] def checkio(n, m): return format(n ^ m, "b").count("1") if 1 == checkio(A, B): print("Yes") else: print("No")
Statement You are given integers N,\ A and B. Determine if there exists a permutation (P_0,\ P_1,\ ...\ P_{2^N-1}) of (0,\ 1,\ ...\ 2^N-1) that satisfies all of the following conditions, and create one such permutation if it exists. * P_0=A * P_{2^N-1}=B * For all 0 \leq i < 2^N-1, the binary representations of P_i and P_{i+1} differ by exactly one bit.
[{"input": "2 1 3", "output": "YES\n 1 0 2 3\n \n\nThe binary representation of P=(1,0,2,3) is (01,00,10,11), where any two\nadjacent elements differ by exactly one bit.\n\n* * *"}, {"input": "3 2 1", "output": "NO"}]
If there is no permutation that satisfies the conditions, print `NO`. If there is such a permutation, print `YES` in the first line. Then, print (P_0,\ P_1,\ ...\ P_{2^N-1}) in the second line, with spaces in between. If there are multiple solutions, any of them is accepted. * * *
s018223701
Wrong Answer
p03097
Input is given from Standard Input in the following format: N A B
print("YES") print(1, 0, 2, 3)
Statement You are given integers N,\ A and B. Determine if there exists a permutation (P_0,\ P_1,\ ...\ P_{2^N-1}) of (0,\ 1,\ ...\ 2^N-1) that satisfies all of the following conditions, and create one such permutation if it exists. * P_0=A * P_{2^N-1}=B * For all 0 \leq i < 2^N-1, the binary representations of P_i and P_{i+1} differ by exactly one bit.
[{"input": "2 1 3", "output": "YES\n 1 0 2 3\n \n\nThe binary representation of P=(1,0,2,3) is (01,00,10,11), where any two\nadjacent elements differ by exactly one bit.\n\n* * *"}, {"input": "3 2 1", "output": "NO"}]
If there is no permutation that satisfies the conditions, print `NO`. If there is such a permutation, print `YES` in the first line. Then, print (P_0,\ P_1,\ ...\ P_{2^N-1}) in the second line, with spaces in between. If there are multiple solutions, any of them is accepted. * * *
s963942134
Wrong Answer
p03097
Input is given from Standard Input in the following format: N A B
n, a, b = map(int, input().split()) if (a - b) % 2 == 0: print("NO") print("YES")
Statement You are given integers N,\ A and B. Determine if there exists a permutation (P_0,\ P_1,\ ...\ P_{2^N-1}) of (0,\ 1,\ ...\ 2^N-1) that satisfies all of the following conditions, and create one such permutation if it exists. * P_0=A * P_{2^N-1}=B * For all 0 \leq i < 2^N-1, the binary representations of P_i and P_{i+1} differ by exactly one bit.
[{"input": "2 1 3", "output": "YES\n 1 0 2 3\n \n\nThe binary representation of P=(1,0,2,3) is (01,00,10,11), where any two\nadjacent elements differ by exactly one bit.\n\n* * *"}, {"input": "3 2 1", "output": "NO"}]
If there is no permutation that satisfies the conditions, print `NO`. If there is such a permutation, print `YES` in the first line. Then, print (P_0,\ P_1,\ ...\ P_{2^N-1}) in the second line, with spaces in between. If there are multiple solutions, any of them is accepted. * * *
s263640351
Wrong Answer
p03097
Input is given from Standard Input in the following format: N A B
N, A, B = [int(_) for _ in input().split()] print("NO")
Statement You are given integers N,\ A and B. Determine if there exists a permutation (P_0,\ P_1,\ ...\ P_{2^N-1}) of (0,\ 1,\ ...\ 2^N-1) that satisfies all of the following conditions, and create one such permutation if it exists. * P_0=A * P_{2^N-1}=B * For all 0 \leq i < 2^N-1, the binary representations of P_i and P_{i+1} differ by exactly one bit.
[{"input": "2 1 3", "output": "YES\n 1 0 2 3\n \n\nThe binary representation of P=(1,0,2,3) is (01,00,10,11), where any two\nadjacent elements differ by exactly one bit.\n\n* * *"}, {"input": "3 2 1", "output": "NO"}]
If there is no permutation that satisfies the conditions, print `NO`. If there is such a permutation, print `YES` in the first line. Then, print (P_0,\ P_1,\ ...\ P_{2^N-1}) in the second line, with spaces in between. If there are multiple solutions, any of them is accepted. * * *
s265647468
Runtime Error
p03097
Input is given from Standard Input in the following format: N A B
_ = input() _ = input() print("YES") print("1 0 2 3")
Statement You are given integers N,\ A and B. Determine if there exists a permutation (P_0,\ P_1,\ ...\ P_{2^N-1}) of (0,\ 1,\ ...\ 2^N-1) that satisfies all of the following conditions, and create one such permutation if it exists. * P_0=A * P_{2^N-1}=B * For all 0 \leq i < 2^N-1, the binary representations of P_i and P_{i+1} differ by exactly one bit.
[{"input": "2 1 3", "output": "YES\n 1 0 2 3\n \n\nThe binary representation of P=(1,0,2,3) is (01,00,10,11), where any two\nadjacent elements differ by exactly one bit.\n\n* * *"}, {"input": "3 2 1", "output": "NO"}]
If there is no permutation that satisfies the conditions, print `NO`. If there is such a permutation, print `YES` in the first line. Then, print (P_0,\ P_1,\ ...\ P_{2^N-1}) in the second line, with spaces in between. If there are multiple solutions, any of them is accepted. * * *
s516514500
Accepted
p03097
Input is given from Standard Input in the following format: N A B
#!/usr/bin/env python # -*- coding: utf-8 -*- def trace(bits, idx, history): if idx == len(bits): history.append(bits[:]) elif idx == len(bits) - 1: history.append(bits[:]) bits[idx] = 1 - bits[idx] history.append(bits[:]) else: trace(bits, idx + 1, history) bits[idx] = 1 - bits[idx] trace(bits, idx + 1, history) def down(bits, idx, count, history): if idx == len(bits): history.append(bits[:]) elif idx == len(bits) - 1: history.append(bits[:]) bits[idx] = 1 - bits[idx] history.append(bits[:]) elif count > 0: trace(bits, idx + 2, history) bits[idx] = 1 - bits[idx] trace(bits, idx + 2, history) bits[idx + 1] = 1 - bits[idx + 1] trace(bits, idx + 2, history) bits[idx] = 1 - bits[idx] down(bits, idx + 2, count - 2, history) else: trace(bits, idx + 2, history) bits[idx + 1] = 1 - bits[idx + 1] trace(bits, idx + 2, history) bits[idx] = 1 - bits[idx] trace(bits, idx + 2, history) bits[idx + 1] = 1 - bits[idx + 1] down(bits, idx + 2, count - 2, history) def main(): n, a, b = map(int, input().split()) x = a ^ b count = 0 remain = 0 mapper = [-1] * n for i in range(n): if (x >> i) & 0x1 != 0: mapper[count] = i count += 1 else: remain += 1 mapper[-remain] = i if count % 2 == 0: print("NO", flush=True) return bits = [0] * n history = [] trace(bits, 1, history) bits[0] = 1 down(bits, 1, count - 1, history) for i in range(len(history)): v = history[i][:] for j, m in enumerate(mapper): history[i][n - m - 1] = v[j] history = [str(a ^ int("".join(str(v) for v in h), 2)) for h in history] print("YES", flush=True) print(" ".join(history), flush=True) if __name__ == "__main__": main()
Statement You are given integers N,\ A and B. Determine if there exists a permutation (P_0,\ P_1,\ ...\ P_{2^N-1}) of (0,\ 1,\ ...\ 2^N-1) that satisfies all of the following conditions, and create one such permutation if it exists. * P_0=A * P_{2^N-1}=B * For all 0 \leq i < 2^N-1, the binary representations of P_i and P_{i+1} differ by exactly one bit.
[{"input": "2 1 3", "output": "YES\n 1 0 2 3\n \n\nThe binary representation of P=(1,0,2,3) is (01,00,10,11), where any two\nadjacent elements differ by exactly one bit.\n\n* * *"}, {"input": "3 2 1", "output": "NO"}]
If there is no permutation that satisfies the conditions, print `NO`. If there is such a permutation, print `YES` in the first line. Then, print (P_0,\ P_1,\ ...\ P_{2^N-1}) in the second line, with spaces in between. If there are multiple solutions, any of them is accepted. * * *
s299493645
Runtime Error
p03097
Input is given from Standard Input in the following format: N A B
import sys import time import random sys.setrecursionlimit(100000000) N, A, B = map(int, input().split()) sTime = time.time() P = [-1] * N Q = [0] * (2**N) X = [0] * (2**N) X[0] = 1 X[1] = 1 Y = [1 << i for i in range(N)] Z = [0] def calc(k, l, M): aa = 0 bb = 0 done = [0] * N for i in range(M): # print("M, i, k,aa,Y=", M, i, k, aa, Y) while k & Y[aa] == 0: aa += 1 while l & Y[bb] == 0: bb += 1 P[aa] = bb done[bb] = 1 aa += 1 bb += 1 j = 0 # print(P) # print(done) for i in range(N): if P[i] >= 0: continue while done[j] == 1: j += 1 P[i] = j j += 1 def change(n): ret = 0 for i in range(N): if n & (1 << i): ret += 1 << P[i] return ret def dc(n): return sum(map(int, list(bin(n)[2:]))) def dfs(n, c): if time.time() - sTime > 1.75: return -1 for i in range(N): m = n ^ Y[i] # print(n, i, m, c) if c == 2**N - 2 and m == 1: X[m] = 1 Z.append(m) return 1 if X[m] == 0 and m != 1: X[m] = 1 Z.append(m) # print(Z) r = dfs(m, c + 1) if r: return r if r < 0: return -1 X[m] = 0 Z.pop() return 0 if (dc(A) + dc(B)) % 2 == 0: print("NO") else: r = dfs(0, 0) for i in range(N): if Z[i] == A: Z = Z[i:] + Z[:i] # print(X, Y, Z) if r < 0: print("NO") else: # print("A", Z[:10], Z[-10:]) mi = 99999 while mi > 0: # for i in range(3, 2**N-1, 2): i = random.randrange(max(2**N - 1001, 1), 2**N - 1, 2) if Z[i - 1] ^ Z[-1] in Y: Z = Z[:i] + Z[i:][::-1] mi = abs(dc(Z[-1]) - dc(B)) # print("A", Z[:10], Z[-10:]) # print("(Z[-1], B, dc(B))", Z[-1], B, dc(B)) calc(Z[-1], B, dc(B)) # print("P=", P) for i in range(N): s = 1 << P[i] t = 1 << i for j in range(2**N): if j & t: Q[j] += s Z = [Q[z] for z in Z] # print(Z[:10], Z[-10:]) print("YES") print(*Z)
Statement You are given integers N,\ A and B. Determine if there exists a permutation (P_0,\ P_1,\ ...\ P_{2^N-1}) of (0,\ 1,\ ...\ 2^N-1) that satisfies all of the following conditions, and create one such permutation if it exists. * P_0=A * P_{2^N-1}=B * For all 0 \leq i < 2^N-1, the binary representations of P_i and P_{i+1} differ by exactly one bit.
[{"input": "2 1 3", "output": "YES\n 1 0 2 3\n \n\nThe binary representation of P=(1,0,2,3) is (01,00,10,11), where any two\nadjacent elements differ by exactly one bit.\n\n* * *"}, {"input": "3 2 1", "output": "NO"}]
Print the answer. * * *
s873039871
Wrong Answer
p03582
Input is given from Standard Input in the following format: X Y Z
from itertools import permutations, count, chain from collections import deque def helper(s): for i in range(len(s)): yield s[i:] + s[:i] def naive(a, b, c): return max(min(helper(s)) for s in permutations("a" * a + "b" * b + "c" * c)) def solve(a, b, c): def helper(a, b, c): cnt = (a, b, c).count(0) if cnt == 3: return [] elif cnt == 2: n, i = max((x, i) for i, x in enumerate((a, b, c))) return [i] * n elif cnt == 1: (l, nl), (u, nu) = ((i, x) for i, x in enumerate((a, b, c)) if x != 0) n = nl // nu return tuple(reversed(([u] + [l] * n) * nu + [l] * (nl - n * nu))) n0 = c % a n1 = a - n0 m0 = b % n1 m1 = n1 - m0 R = helper(m1, m0, n0) nc = c // a nb = b // n1 s = ( [0] + [2] * nc + [1] * nb, [0] + [2] * nc + [1] * (nb + 1), [0] + [2] * (nc + 1), ) return tuple(chain.from_iterable(s[r] for r in R)) s = ("a", "b", "c") return "".join(s[i] for i in helper(a, b, c)) print(solve(*map(int, input().split())))
Statement For a string S, let f(S) be the lexicographically smallest cyclic shift of S. For example, if S = `babca`, f(S) = `ababc` because this is the smallest among all cyclic shifts (`babca`, `abcab`, `bcaba`, `cabab`, `ababc`). You are given three integers X, Y, and Z. You want to construct a string T that consists of exactly X `a`s, exactly Y `b`s, and exactly Z `c`s. If there are multiple such strings, you want to choose one that maximizes f(T) lexicographically. Compute the lexicographically largest possible value of f(T).
[{"input": "2 2 0", "output": "abab\n \n\nT must consist of two `a`s and two `b`s.\n\n * If T = `aabb`, f(T) = `aabb`.\n * If T = `abab`, f(T) = `abab`.\n * If T = `abba`, f(T) = `aabb`.\n * If T = `baab`, f(T) = `aabb`.\n * If T = `baba`, f(T) = `abab`.\n * If T = `bbaa`, f(T) = `aabb`.\n\nThus, the largest possible f(T) is `abab`.\n\n* * *"}, {"input": "1 1 1", "output": "acb"}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s761776384
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
X, Y, Z, K = map(int, input().split()) x_list = list(map(int, input().split())) y_list = list(map(int, input().split())) z_list = list(map(int, input().split())) x_list = sorted(x_list, reverse=True) y_list = sorted(y_list, reverse=True) z_list = sorted(z_list, reverse=True) # 次にとるindexの管理 next_dict = {} def sumxyz(tup): return x_list[tup[0]] + y_list[tup[1]] + z_list[tup[2]] def argmax(l): mxi = -1 mx = -1 for i, v in enumerate(l): if v >= mx: mx = v mxi = i return mxi def add_next(tup): def add_not_exist(ntup): sm = sumxyz(ntup) if ntup not in next_dict: next_dict[ntup] = sm if tup[0] < len(x_list) - 1: ntup = (tup[0] + 1, tup[1], tup[2]) add_not_exist(ntup) if tup[1] < len(y_list) - 1: ntup = (tup[0], tup[1] + 1, tup[2]) add_not_exist(ntup) if tup[2] < len(z_list) - 1: ntup = (tup[0], tup[1], tup[2] + 1) add_not_exist(ntup) for i in range(K): if i == 0: print(sumxyz((0, 0, 0))) add_next((0, 0, 0)) else: v = next_dict.values() k = list(next_dict.keys()) max_idx = argmax(v) print(next_dict[k[max_idx]]) next_dict[k[max_idx]] = -1 add_next(k[max_idx])
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s839051782
Wrong Answer
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
x, y, z, k = map(int, input().split()) a = sorted(map(int, input().split()), reverse=True) b = sorted(map(int, input().split()), reverse=True) c = sorted(map(int, input().split()), reverse=True) p = q = r = 0 listlist = [[p, q, r]] numlist = [a[p] + b[q] + c[r]] listlistdone = [] for yy in range(k): maxtemp = max(numlist) print(maxtemp) p, q, r = ( listlist[numlist.index(maxtemp)][0], listlist[numlist.index(maxtemp)][1], listlist[numlist.index(maxtemp)][2], ) listlistdone.append(listlist[numlist.index(maxtemp)]) del listlist[numlist.index(maxtemp)] numlist.remove(maxtemp) temp = [p + 1, q, r] if p <= x - 2 and (temp not in listlistdone): appendflag = True for xx in listlist: if ( (temp[0] == xx[0] and temp[1] == xx[1]) or (temp[0] == xx[0] and temp[2] == xx[2]) or (temp[1] == xx[1] and temp[2] == xx[2]) ): appendflag = False if appendflag == True: listlist.append(temp) numlist.append(a[p + 1] + b[q] + c[r]) temp = [p, q + 1, r] if q <= y - 2 and (temp not in listlistdone): appendflag = True for xx in listlist: if ( (temp[0] == xx[0] and temp[1] == xx[1]) or (temp[0] == xx[0] and temp[2] == xx[2]) or (temp[1] == xx[1] and temp[2] == xx[2]) ): appendflag = False if appendflag == True: listlist.append(temp) numlist.append(a[p] + b[q + 1] + c[r]) temp = [p, q, r + 1] if r <= z - 2 and (temp not in listlistdone): appendflag = True for xx in listlist: if ( (temp[0] == xx[0] and temp[1] == xx[1]) or (temp[0] == xx[0] and temp[2] == xx[2]) or (temp[1] == xx[1] and temp[2] == xx[2]) ): appendflag = False if appendflag == True: listlist.append(temp) numlist.append(a[p] + b[q] + c[r + 1])
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s911130487
Wrong Answer
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
class pqueue: def __init__(self): self.queue = {1: [], 2: []} def push(self, x): if self.queue[1] == []: self.queue[1].append(x) else: if x[0] > self.queue[1][0][0]: self.queue[2].append(self.queue[1].pop(0)) self.queue[1].append(x) else: self.queue[2].append(x) def pop(self): if self.queue[1] == []: return None else: if self.queue[2] != []: m = max(self.queue[2], key=lambda x: x[0]) self.queue[1].append(m) self.queue[2].remove(m) return self.queue[1].pop(0) else: return self.queue[1].pop(0) P = pqueue() x, y, z, k = map(int, input().split()) a = sorted(list(map(int, input().split())), reverse=True) b = sorted(list(map(int, input().split())), reverse=True) c = sorted(list(map(int, input().split())), reverse=True) P.push([a[0] + b[0] + c[0], 0, 0, 0]) for cnt in range(k): p = P.pop() if p[1] + 1 < x: A = [a[p[1] + 1] + b[p[2]] + c[p[3]], p[1] + 1, p[2], p[3]] if not A in P.queue[1] and not A in P.queue[2]: P.push(A) if p[2] + 1 < y: B = [a[p[1]] + b[p[2] + 1] + c[p[3]], p[1], p[2] + 1, p[3]] if not B in P.queue[1] and not B in P.queue[2]: P.push(B) if p[3] + 1 < z: C = [a[p[1]] + b[p[2]] + c[p[3] + 1], p[1], p[2], p[3] + 1] if not C in P.queue[1] and not C in P.queue[2]: P.push(C) print(p[0])
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s095292988
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
from heapq import heappush, heappop N = [int(x) for x in input().split()] a = [sorted([int(x) for x in input().split()], reverse=True) for _ in range(3)] Q = [(-(a[0][0] + a[1][0] + a[2][0]), [0, 0, 0])] L = [[0, 0, 0]] def f(v): global a, L, Q if not v in L: t = 0 for i in range(3): t -= a[i][v[i]] heappush(Q, (t, v)) L.append(v) for _ in range(N[3]): p, v = heappop(Q) print(-p) for i in range(3): if v[i] + 1 < N[i]: f([x if j != i else x + 1 for j, x in enumerate(v)])
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s353284203
Wrong Answer
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
x, y, z, k = map(int, input().split()) ax = [int(_) for _ in input().split()] ay = [int(_) for _ in input().split()] az = [int(_) for _ in input().split()] ax.sort(reverse=True) ay.sort(reverse=True) az.sort(reverse=True) INF = -(10**9) ax.extend([INF] * k) ay.extend([INF] * k) az.extend([INF] * k) l = [(ax[0] + ay[0] + az[0], 0, 0, 0)] for i in range(k): t = l.pop(0) print(t[0]) if (ax[t[1] + 1] + ay[t[2]] + az[t[3]], t[1] + 1, t[2], t[3]) not in l: l.append((ax[t[1] + 1] + ay[t[2]] + az[t[3]], t[1] + 1, t[2], t[3])) if (ax[t[1]] + ay[t[2] + 1] + az[t[3]], t[1], t[2] + 1, t[3]) not in l: l.append((ax[t[1]] + ay[t[2] + 1] + az[t[3]], t[1], t[2] + 1, t[3])) if (ax[t[1]] + ay[t[2]] + az[t[3] + 1], t[1], t[2], t[3] + 1) not in l: l.append((ax[t[1]] + ay[t[2]] + az[t[3] + 1], t[1], t[2], t[3] + 1)) l.sort(reverse=True)
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s806850123
Wrong Answer
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
x, y, z, k = map(int, input().split()) list_a = list(map(int, input().split())) list_b = list(map(int, input().split())) list_c = list(map(int, input().split())) list_a.sort(reverse=True) list_b.sort(reverse=True) list_c.sort(reverse=True) dict_p = {} dict_p[(0, 0, 0)] = list_a[0] + list_b[0] + list_c[0] now = 0 for i in range(0, k): Max = max(dict_p.values()) print(Max) for j in dict_p: if dict_p[j] == Max: now = j dict_p.pop(now) break if now[0] + 1 < x: dict_p[(now[0] + 1, now[1], now[2])] = ( list_a[now[0] + 1] + list_b[now[1]] + list_c[now[2]] ) if now[1] + 1 < y: dict_p[(now[0], now[1] + 1, now[2])] = ( list_a[now[0]] + list_b[now[1] + 1] + list_c[now[2]] ) if now[2] + 1 < z: dict_p[(now[0], now[1], now[2] + 1)] = ( list_a[now[0]] + list_b[now[1]] + list_c[now[2] + 1] )
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s106591239
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
import heapq class PriorityQueue: def __init__(self): self.__heap = [] self.__count = 0 def empty(self) -> bool: return self.__count == 0 def dequeue(self): if self.empty(): raise Exception("empty") self.__count -= 1 return heapq.heappop(self.__heap) def enqueue(self, v): self.__count += 1 heapq.heappush(self.__heap, v) def __len__(self): return self.__count def cake123(X: int, Y: int, Z: int, K: int, A: list, B: list, C: list) -> list: ret = [0] * K sA = sorted(-a for a in A) sB = sorted(-b for b in B) sC = sorted(-c for c in C) q = PriorityQueue() q.enqueue((sA[0] + sB[0] + sC[0], 0, 0, 0)) used = {} k = 0 while k < K: delicious, ai, bi, ci = q.dequeue() if -delicious in used and (ai, bi, ci) in used[-delicious]: continue used.setdefault(-delicious, set()) used[-delicious].add((ai, bi, ci)) ret[k] = -delicious k += 1 if ai + 1 < X: q.enqueue((sA[ai + 1] + sB[bi] + sC[ci], ai + 1, bi, ci)) if bi + 1 < Y: q.enqueue((sA[ai] + sB[bi + 1] + sC[ci], ai, bi + 1, ci)) if ci + 1 < Z: q.enqueue((sA[ai] + sB[bi] + sC[ci + 1], ai, bi, ci + 1)) return ret if __name__ == "__main__": X, Y, Z, K = map(int, input().split()) A = [int(s) for s in input().split()] B = [int(s) for s in input().split()] C = [int(s) for s in input().split()] ans = cake123(X, Y, Z, K, A, B, C) for a in ans: print(a)
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s971268682
Runtime Error
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
a = map(int, input().split()) a = list(a) b = map(int, input().split()) b = list(b) c = map(int, input().split()) c = list(c) d = map(int, input().split()) d = list(d) e = [0] * a[0] * a[1] f = [0] * a[0] * a[1] * a[2] print(a, b, c, d) g1, g2 = 0, 0 for i in range(a[0]): for j in range(a[1]): e[g1] = b[i] + c[j] g1 += 1 print(e) for k in range(a[2]): for l in range(len(e)): f[g2] = c[k] + e[l] g2 += 1 f.reverse() print(f) for m in range(a[3]): print(f[m])
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s332630661
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
def 解法3優先度付きキュー(): import heapq X, Y, Z, K = [int(_) for _ in input().split()] aA = sorted((int(_) for _ in input().split()), reverse=True) aB = sorted((int(_) for _ in input().split()), reverse=True) aC = sorted((int(_) for _ in input().split()), reverse=True) dS = set() aAns = [0] * K aQ = [] def fPush(aQ, i, j, k): if X <= i: i = X - 1 if Y <= j: j = Y - 1 if Z <= k: k = Z - 1 if (i, j, k) not in dS: heapq.heappush(aQ, (-1 * (aA[i] + aB[j] + aC[k]), i, j, k)) dS.add((i, j, k)) def fPop(aQ): iD, i, j, k = heapq.heappop(aQ) return (-1 * iD, i, j, k) fPush(aQ, 0, 0, 0) for iU in range(K): aAns[iU], i, j, k = fPop(aQ) fPush(aQ, i + 1, j, k) fPush(aQ, i, j + 1, k) fPush(aQ, i, j, k + 1) print(*aAns, sep="\n") 解法3優先度付きキュー()
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s655962522
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
import sys import heapq read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readline_s = sys.stdin.readline readlines = sys.stdin.buffer.readlines INF = 10**10 + 7 def main(): X, Y, Z, K = map(int, readline().split()) A = sorted(list(map(int, readline().split())), reverse=True) B = sorted(list(map(int, readline().split())), reverse=True) C = sorted(list(map(int, readline().split())), reverse=True) ans = solve3(X, Y, Z, K, A, B, C) print("\n".join(map(str, ans))) def solve3(X, Y, Z, K, A, B, C): init_v = -(A[0] + B[0] + C[0]) q = [(init_v, 0, 0, 0)] heapq.heapify(q) search = set() ans = [] for k in range(K): v, a, b, c = heapq.heappop(q) ans.append(-v) if a + 1 < X and not ((a + 1, b, c) in search): nv = A[a + 1] + B[b] + C[c] heapq.heappush(q, (-nv, a + 1, b, c)) search |= {(a + 1, b, c)} if b + 1 < Y and not ((a, b + 1, c) in search): nv = A[a] + B[b + 1] + C[c] heapq.heappush(q, (-nv, a, b + 1, c)) search |= {(a, b + 1, c)} if c + 1 < Z and not ((a, b, c + 1) in search): nv = A[a] + B[b] + C[c + 1] heapq.heappush(q, (-nv, a, b, c + 1)) search |= {(a, b, c + 1)} return ans def solve2(X, Y, Z, K, A, B, C): ABC = [] for i in range(X): if (i + 1) > K: break for j in range(Y): if (i + 1) * (j + 1) > K: break for k in range(Z): if (i + 1) * (j + 1) * (k + 1) > K: break else: ABC.append(A[i] + B[j] + C[k]) return sorted(ABC, reverse=True)[:K] def solve1(X, Y, Z, K, A, B, C): AB = [] for i in range(X): for j in range(Y): AB.append(A[i] + B[j]) AB.sort(reverse=True) AB = AB[: min(X * Y, K)] ABC = [] for i in range(len(AB)): for j in range(Z): ABC.append(AB[i] + C[j]) ABC.sort(reverse=True) return ABC[:K] if __name__ == "__main__": main()
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s216957636
Runtime Error
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
x, y, z, k = map(int, input().split()) alis = sorted(list(map(int, input().split())))[::-1] blis = sorted(list(map(int, input().split())))[::-1] clis = sorted(list(map(int, input().split())))[::-1] alis.append(-max(alis)) blis.append(-max(blis)) clis.append(-max(clis)) def search_next(a, b, c): cans = [(alis[a] - alis[a + 1]), (blis[b] - blis[b + 1]), (clis[c] - clis[c + 1])] nexts = [a, b, c] nexts[cans.index(min(cans))] += 1 return nexts a, b, c = 0, 0, 0 for i in range(k): print(alis[a] + blis[b] + clis[c]) a, b, c = search_next(a, b, c)
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s000988458
Wrong Answer
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
23379871545 22444657051 22302177772 22095691512 21667941469 21366963278 21287912315 21279176669 21160477018 21085311041 21059876163 21017997739 20703329561 20702387965 20590247696 20383761436 20343962175 20254073196 20210218542 20150096547
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s194575913
Runtime Error
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
X, Y, Z, K = map(int(input())) A = [int(x) for x in input().split()] B = [int(x) for x in input().split()] C = [int(x) for x in input().split()]
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s661439067
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
import sys read = sys.stdin.buffer.read input = sys.stdin.buffer.readline inputs = sys.stdin.buffer.readlines # rstrip().decode('utf-8') # import math import numpy as np # import operator # import bisect # from heapq import heapify,heappop,heappush # from math import gcd # from fractions import gcd # from collections import deque # from collections import defaultdict # from collections import Counter # from itertools import accumulate # from itertools import groupby # from itertools import permutations # from itertools import combinations # from scipy.sparse import csr_matrix # from scipy.sparse.csgraph import floyd_warshall # from scipy.sparse.csgraph import csgraph_from_dense # from scipy.sparse.csgraph import dijkstra # sys.setrecursionlimit(10**7) # map(int,input().split()) def main(): x, y, z, k = map(int, input().split()) ABC = np.array(read().split(), np.int64) A = ABC[:x] B = ABC[x:-z] C = ABC[-z:] AB = np.add.outer(A, B) AB = AB.ravel() AB.sort() AB = AB[-k:] ans = np.add.outer(AB, C) ans = ans.ravel() ans.sort() for i in range(k): print(ans[-i - 1]) if __name__ == "__main__": main()
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s841389488
Runtime Error
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
# To avoid the use of reverse, define inverse order intentionally def merge(a, b): i, j = 0, 0 merged = [] while i < len(a) or j < len(b): if j >= len(b) or a[i] > b[j]: # take from a if a[i] is larger than b[j] merged.append(a[i]) i += 1 else: merged.append(b[j]) j += 1 return merged # merge sort with inverse order def merge_sort(l): if len(l) == 1: return l l1 = l[0 : (len(l) // 2)] l2 = l[(len(l) // 2) :] ll1 = merge_sort(l1) ll2 = merge_sort(l2) return merge(ll1, ll2) XYZK = list(map(int, input().split())) tastes = [] for n in range(3): tastes.append(list(map(int, input().split()))) ab_tastes = [] for i in range(XYZK[0]): for j in range(XYZK[1]): ab_tastes.append(tastes[0][i] + tastes[1][j]) ab_tastes = merge_sort(ab_tastes) final = [] for i in range(min(XYZK[0] * XYZK[1], XYZK[3])): for j in range(XYZK[2]): final.append(ab_tastes[i] + tastes[2][j]) final = merge_sort(final) for i in range(XYZK[3]): print(final[i])
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s792830076
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
X, Y, Z, K = [int(_) for _ in input().split()] As = [int(_) for _ in input().split()] Bs = [int(_) for _ in input().split()] Cs = [int(_) for _ in input().split()] As.sort() Bs.sort() Cs.sort() choice_stack = [(As[-1] + Bs[-1] + Cs[-1], len(As) - 1, len(Bs) - 1, len(Cs) - 1)] choice_log = set() j = 0 while True: choice_stack.sort() chosen_sum, Ai, Bi, Ci = choice_stack.pop() print(chosen_sum) step_A = (As[max(0, Ai - 1)] + Bs[Bi] + Cs[Ci], max(0, Ai - 1), Bi, Ci) step_B = (As[Ai] + Bs[max(0, Bi - 1)] + Cs[Ci], Ai, max(0, Bi - 1), Ci) step_C = (As[Ai] + Bs[Bi] + Cs[max(0, Ci - 1)], Ai, Bi, max(0, Ci - 1)) if not (step_A in choice_log): choice_stack.append(step_A) choice_log.add(step_A) if not (step_B in choice_log): choice_stack.append(step_B) choice_log.add(step_B) if not (step_C in choice_log): choice_stack.append(step_C) choice_log.add(step_C) j += 1 if j >= K: break
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s300879235
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
import heapq class Delicious(object): def __init__(self, x, y, z): self.x = x self.y = y self.z = z def total(self): return A[self.x] + B[self.y] + C[self.z] def __lt__(self, other): return self.total() > other.total() X, Y, Z, K = map(int, input().split(" ")) A = sorted(map(int, input().split(" ")), reverse=True) B = sorted(map(int, input().split(" ")), reverse=True) C = sorted(map(int, input().split(" ")), reverse=True) ds = [] heapq.heappush(ds, Delicious(0, 0, 0)) check = {} for _ in range(K): d = heapq.heappop(ds) while (d.x, d.y, d.z) in check: d = heapq.heappop(ds) print(d.total()) check[d.x, d.y, d.z] = True if d.x < X - 1: heapq.heappush(ds, Delicious(d.x + 1, d.y, d.z)) if d.y < Y - 1: heapq.heappush(ds, Delicious(d.x, d.y + 1, d.z)) if d.z < Z - 1: heapq.heappush(ds, Delicious(d.x, d.y, d.z + 1))
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s159579926
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
read = input def read_numbers(): a = read().split(" ") a = list(map(int, a)) return a [x, y, z, K] = read_numbers() memo = [[set() for i in range(y)] for i in range(x)] X = read_numbers() Y = read_numbers() Z = read_numbers() X.sort() X.reverse() Y.sort() Y.reverse() Z.sort() Z.reverse() import queue def cal(px, py, pz): return X[px] + Y[py] + Z[pz] memo[0][0].add(0) cnt = 0 pq = queue.PriorityQueue() # print(X,Y,Z) pq.put((-cal(0, 0, 0), 0, 0, 0)) while cnt < K: # print(cnt) cost, px, py, pz = pq.get(timeout=1) # print(cost, px, py,pz) for i in range(px - 1, px + 2): for j in range(py - 1, py + 2): for k in range(pz - 1, pz + 2): if ( i >= 0 and i < x and j >= 0 and j < y and k >= 0 and k < z and k not in memo[i][j] ): memo[i][j].add(k) pq.put((-cal(i, j, k), i, j, k)) print(-cost) cnt = cnt + 1
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s245407807
Runtime Error
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
x, y, z, w = map(int, input().split()) lx = list(map(int, input().split())) ly = list(map(int, input().split())) lz = list(map(int, input().split())) lxy = [] for i in range(x): for j in range(y): lxy.append(lx[i] + ly[j]) lxy = sorted(lxy) lxy = lxy[::-1] l = [] for i in range(w): l.append(lxy[i]) lxyz = [] for i in range(z): for j in range(w): lxyz.append(lz[i] + l[j]) lxyz = sorted(lxyz) lxyz = lxyz[::-1] for i in range(w): print(lxyz[i])
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s546293382
Wrong Answer
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
N = list(map(int, (input().split(" ")))) teast = [] K = N[3] total = [] all = [] c = 0 for i in range(3): teast.append(list(map(int, input().split(" ")))) for i in teast[0]: for j in teast[1]: total.append(i + j) total_s = sorted(total, reverse=True) del total_s[K:] for i in total_s: for k in teast[2]: all.append(i + k) all_s = sorted(all, reverse=True) for i in all_s: print(i)
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s287703741
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
X, Y, Z, K = map(int, input().split()) A_array = list(map(int, input().split())) B_array = list(map(int, input().split())) C_array = list(map(int, input().split())) A_array.sort() B_array.sort() C_array.sort() use_array = [] sum_array = [] candidate_array = [] max_sum = A_array[-1] + B_array[-1] + C_array[-1] candidate_array = [[X - 1, Y - 1, Z - 1, max_sum]] use_array.append((X - 1, Y - 1, Z - 1)) for i in range(K): candidate_array = sorted(candidate_array, key=lambda x: -x[3]) x, y, z, s = candidate_array.pop(0) sum_array.append(s) if x != 0 and (x - 1, y, z) not in use_array: use_array.append((x - 1, y, z)) diff = A_array[x] - A_array[x - 1] candidate_array.append([x - 1, y, z, s - diff]) if y != 0 and (x, y - 1, z) not in use_array: use_array.append((x, y - 1, z)) diff = B_array[y] - B_array[y - 1] candidate_array.append([x, y - 1, z, s - diff]) if z != 0 and (x, y, z - 1) not in use_array: use_array.append((x, y, z - 1)) diff = C_array[z] - C_array[z - 1] candidate_array.append([x, y, z - 1, s - diff]) for ans in sum_array: print(ans)
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s590062947
Wrong Answer
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
# ヒープに要素を追加、一番でかいのを取り出すという操作を最大3000回やるやり方 # これもなかなか早い # ヒープは追加も要素の取り出しもO(log n)で住むので、 # 計算オーダーはO(K log n)で済む(nはヒープの要素数)らしいが # not in があるのでO(n K log n)では? # pythonのヒープは使い方に癖があるのでこの機会に習得しよう import sys read = sys.stdin.readline def read_ints(): return list(map(int, read().split())) X, Y, Z, K = read_ints() A = read_ints() B = read_ints() C = read_ints() A.sort(reverse=True) B.sort(reverse=True) C.sort(reverse=True) from heapq import heapify, heappop, heappush, heappushpop class PriorityQueue: def __init__(self, heap): """ heap ... list """ self.heap = heap heapify(self.heap) def push(self, item): print(self.heap, item) heappush(self.heap, item) def pop(self): return heappop(self.heap) def pushpop(self, item): return heappushpop(self.heap, item) def __call__(self): return self.heap heap = [] # ヒープといっても順序を工夫したただのリスト q = PriorityQueue(heap) q.push((-(A[0] + B[0] + C[0]), 0, 0, 0)) ans = [] for k_th in range(1, K + 1): heap_max, i, j, k = q.pop() # print(heap_max) ans.append(-heap_max) for di, dj, dk in zip([1, 0, 0], [0, 1, 0], [0, 0, 1]): i_new, j_new, k_new = i + di, j + dj, k + dk if i_new >= X or j_new >= Y or k_new >= Z: continue tmp = (-(A[i_new] + B[j_new] + C[k_new]), i_new, j_new, k_new) if tmp in q(): # ここが計算量がおおい continue q.push(tmp) print(*ans, sep="\n")
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print K lines. The i-th line should contain the i-th value stated in the problem statement. * * *
s928848207
Accepted
p03078
Input is given from Standard Input in the following format: X Y Z K A_1 \ A_2 \ A_3 \ ... \ A_X B_1 \ B_2 \ B_3 \ ... \ B_Y C_1 \ C_2 \ C_3 \ ... \ C_Z
X, Y, Z, K = map(int, input().split()) A = list(map(int, input().split())) B = list(map(int, input().split())) C = list(map(int, input().split())) asort, bsort, csort = ( sorted(A, reverse=True), sorted(B, reverse=True), sorted(C, reverse=True), ) print(asort[0] + bsort[0] + csort[0]) already = [[0, 0, 0]] x, y, z = 0, 0, 0 place_sum = [] check = [] for k in range(K - 1): if [x + 1, y, z] not in already and x + 1 < X: already.append([x + 1, y, z]) place_sum.append([x + 1, y, z]) check.append(asort[x + 1] + bsort[y] + csort[z]) if [x, y + 1, z] not in already and y + 1 < Y: already.append([x, y + 1, z]) place_sum.append([x, y + 1, z]) check.append(asort[x] + bsort[y + 1] + csort[z]) if [x, y, z + 1] not in already and z + 1 < Z: already.append([x, y, z + 1]) place_sum.append([x, y, z + 1]) check.append(asort[x] + bsort[y] + csort[z + 1]) print(max(check)) x, y, z = ( place_sum[check.index(max(check))][0], place_sum[check.index(max(check))][1], place_sum[check.index(max(check))][2], ) place_sum.pop(check.index(max(check))) check.remove(max(check))
Statement The Patisserie AtCoder sells cakes with number-shaped candles. There are X, Y and Z kinds of cakes with 1-shaped, 2-shaped and 3-shaped candles, respectively. Each cake has an integer value called _deliciousness_ , as follows: * The deliciousness of the cakes with 1-shaped candles are A_1, A_2, ..., A_X. * The deliciousness of the cakes with 2-shaped candles are B_1, B_2, ..., B_Y. * The deliciousness of the cakes with 3-shaped candles are C_1, C_2, ..., C_Z. Takahashi decides to buy three cakes, one for each of the three shapes of the candles, to celebrate ABC 123. There are X \times Y \times Z such ways to choose three cakes. We will arrange these X \times Y \times Z ways in descending order of the sum of the deliciousness of the cakes. Print the sums of the deliciousness of the cakes for the first, second, ..., K-th ways in this list.
[{"input": "2 2 2 8\n 4 6\n 1 5\n 3 8", "output": "19\n 17\n 15\n 14\n 13\n 12\n 10\n 8\n \n\nThere are 2 \\times 2 \\times 2 = 8 ways to choose three cakes, as shown below\nin descending order of the sum of the deliciousness of the cakes:\n\n * (A_2, B_2, C_2): 6 + 5 + 8 = 19\n * (A_1, B_2, C_2): 4 + 5 + 8 = 17\n * (A_2, B_1, C_2): 6 + 1 + 8 = 15\n * (A_2, B_2, C_1): 6 + 5 + 3 = 14\n * (A_1, B_1, C_2): 4 + 1 + 8 = 13\n * (A_1, B_2, C_1): 4 + 5 + 3 = 12\n * (A_2, B_1, C_1): 6 + 1 + 3 = 10\n * (A_1, B_1, C_1): 4 + 1 + 3 = 8\n\n* * *"}, {"input": "3 3 3 5\n 1 10 100\n 2 20 200\n 1 10 100", "output": "400\n 310\n 310\n 301\n 301\n \n\nThere may be multiple combinations of cakes with the same sum of the\ndeliciousness. For example, in this test case, the sum of A_1, B_3, C_3 and\nthe sum of A_3, B_3, C_1 are both 301. However, they are different ways of\nchoosing cakes, so 301 occurs twice in the output.\n\n* * *"}, {"input": "10 10 10 20\n 7467038376 5724769290 292794712 2843504496 3381970101 8402252870 249131806 6310293640 6690322794 6082257488\n 1873977926 2576529623 1144842195 1379118507 6003234687 4925540914 3902539811 3326692703 484657758 2877436338\n 4975681328 8974383988 2882263257 7690203955 514305523 6679823484 4263279310 585966808 3752282379 620585736", "output": "23379871545\n 22444657051\n 22302177772\n 22095691512\n 21667941469\n 21366963278\n 21287912315\n 21279176669\n 21160477018\n 21085311041\n 21059876163\n 21017997739\n 20703329561\n 20702387965\n 20590247696\n 20383761436\n 20343962175\n 20254073196\n 20210218542\n 20150096547\n \n\nNote that the input or output may not fit into a 32-bit integer type."}]
Print N real numbers. The i-th real number must represent the probability that Snuke falls into the i-th hole. The output will be judged correct when, for all output values, the absolute or relative error is at most 10^{-5}. * * *
s924274494
Accepted
p03428
Input is given from Standard Input in the following format: N x_1 y_1 : x_N y_N
import math from copy import deepcopy import sys input = sys.stdin.readline class Vec: def __init__(self, x, y): self.x = x self.y = y def __str__(self): return "({}, {})".format(self.x, self.y) def __add__(self, other): return Vec(self.x + other.x, self.y + other.y) def __sub__(self, other): return Vec(self.x - other.x, self.y - other.y) def __mul__(self, k): return Vec(self.x * k, self.y * k) def __truediv__(self, k): return Vec(self.x / k, self.y / k) def __neg__(self): return Vec(-self.x, -self.y) def __eq__(self, other): return self.x == other.x and self.y == other.y def __ne__(self, other): return not (self == other) def abs(self): return (self.x**2 + self.y**2) ** 0.5 def dot(self, other): return self.x * other.x + self.y * other.y def cross(self, other): return self.x * other.y - self.y * other.x def rot(self, ang): c = math.cos(ang) s = math.sin(ang) return Vec(c * self.x - s * self.y, s * self.x + c * self.y) def arg(self): return math.atan2(self.y, self.x) def convex_hull(points, eps=1e-12): n = len(points) points.sort(key=lambda p: (p.x, p.y)) k = 0 # # of vertices in the convex hull ch = [None] * (2 * n) # bottom for i in range(n): while k > 1 and (ch[k - 1] - ch[k - 2]).cross(points[i] - ch[k - 1]) < eps: k -= 1 ch[k] = points[i] k += 1 t = k # top for i in range(0, n - 1)[::-1]: while k > t and (ch[k - 1] - ch[k - 2]).cross(points[i] - ch[k - 1]) < eps: k -= 1 ch[k] = points[i] k += 1 return ch[: k - 1] N = int(input()) points = [Vec(*map(int, input().split())) for _ in range(N)] tmp = deepcopy(points) ch = convex_hull(tmp) ch.sort(key=lambda v: v.arg()) ans = [0] * N for i in range(len(ch)): p0 = ch[(i - 1) % len(ch)] p1 = ch[i] p2 = ch[(i + 1) % len(ch)] a = (p2 - p1).arg() - (p1 - p0).arg() if a < 0: a += 2 * math.pi for j in range(N): if p1 == points[j]: ans[j] = a / (2 * math.pi) print(*ans, sep="\n")
Statement There are N holes in a two-dimensional plane. The coordinates of the i-th hole are (x_i,y_i). Let R=10^{10^{10^{10}}}. Ringo performs the following operation: * Randomly choose a point from the interior of a circle of radius R centered at the origin, and put Snuke there. Snuke will move to the hole with the smallest Euclidean distance from the point, and fall into that hole. If there are multiple such holes, the hole with the smallest index will be chosen. For every i (1 \leq i \leq N), find the probability that Snuke falls into the i-th hole. Here, the operation of randomly choosing a point from the interior of a circle of radius R is defined as follows: * Pick two real numbers x and y independently according to uniform distribution on [-R,R]. * If x^2+y^2\leq R^2, the point (x,y) is chosen. Otherwise, repeat picking the real numbers x,y until the condition is met.
[{"input": "2\n 0 0\n 1 1", "output": "0.5\n 0.5\n \n\nIf Ringo put Snuke in the region x+y\\leq 1, Snuke will fall into the first\nhole. The probability of this happening is very close to 0.5. Otherwise, Snuke\nwill fall into the second hole, the probability of which happening is also\nvery close to 0.5.\n\n* * *"}, {"input": "5\n 0 0\n 2 8\n 4 5\n 2 6\n 3 10", "output": "0.43160120892732328768\n 0.03480224363653196956\n 0.13880483535586193855\n 0.00000000000000000000\n 0.39479171208028279727"}]
Print N real numbers. The i-th real number must represent the probability that Snuke falls into the i-th hole. The output will be judged correct when, for all output values, the absolute or relative error is at most 10^{-5}. * * *
s175536044
Accepted
p03428
Input is given from Standard Input in the following format: N x_1 y_1 : x_N y_N
#! /usr/bin/env python # -*- coding: utf-8 -*- # vim:fenc=utf-8 # """ AGC021 B """ import math from collections import defaultdict n = int(input()) ps = [tuple(map(int, input().split())) for i in range(n)] def dist(rad, p): radtmp = 2 * math.pi * rad / maxcut return -p[0] * math.cos(radtmp) - p[1] * math.sin(radtmp) def closest(rad): tmp = dist(rad, ps[0]) itmp = 0 for i, pp in enumerate(ps): tmp2 = dist(rad, pp) if tmp2 < tmp: itmp = i tmp = tmp2 return itmp maxcut = 2**20 binary = defaultdict(int) binary[0] = closest(0) binary[maxcut] = binary[0] binary[maxcut // 2] = closest(maxcut // 2) binary[maxcut // 4] = closest(maxcut // 4) binary[3 * maxcut // 4] = closest(3 * maxcut // 4) def fillbinary(ll, rr): if binary[ll] != binary[rr] and rr - ll != 1: mm = (ll + rr) // 2 binary[mm] = closest(mm) fillbinary(ll, mm) fillbinary(mm, rr) fillbinary(0, maxcut // 4) fillbinary(maxcut // 4, maxcut // 2) fillbinary(maxcut // 2, 3 * maxcut // 4) fillbinary(3 * maxcut // 4, maxcut) binkeys = sorted(binary.keys()) ansli = [0] * n beforekey = 0 for i in binkeys: ansli[binary[i]] += i - beforekey beforekey = i for i in range(n): print(ansli[i] / maxcut)
Statement There are N holes in a two-dimensional plane. The coordinates of the i-th hole are (x_i,y_i). Let R=10^{10^{10^{10}}}. Ringo performs the following operation: * Randomly choose a point from the interior of a circle of radius R centered at the origin, and put Snuke there. Snuke will move to the hole with the smallest Euclidean distance from the point, and fall into that hole. If there are multiple such holes, the hole with the smallest index will be chosen. For every i (1 \leq i \leq N), find the probability that Snuke falls into the i-th hole. Here, the operation of randomly choosing a point from the interior of a circle of radius R is defined as follows: * Pick two real numbers x and y independently according to uniform distribution on [-R,R]. * If x^2+y^2\leq R^2, the point (x,y) is chosen. Otherwise, repeat picking the real numbers x,y until the condition is met.
[{"input": "2\n 0 0\n 1 1", "output": "0.5\n 0.5\n \n\nIf Ringo put Snuke in the region x+y\\leq 1, Snuke will fall into the first\nhole. The probability of this happening is very close to 0.5. Otherwise, Snuke\nwill fall into the second hole, the probability of which happening is also\nvery close to 0.5.\n\n* * *"}, {"input": "5\n 0 0\n 2 8\n 4 5\n 2 6\n 3 10", "output": "0.43160120892732328768\n 0.03480224363653196956\n 0.13880483535586193855\n 0.00000000000000000000\n 0.39479171208028279727"}]
Print N real numbers. The i-th real number must represent the probability that Snuke falls into the i-th hole. The output will be judged correct when, for all output values, the absolute or relative error is at most 10^{-5}. * * *
s449627150
Wrong Answer
p03428
Input is given from Standard Input in the following format: N x_1 y_1 : x_N y_N
import sys input = sys.stdin.readline import numpy as np from numpy import pi N = int(input()) X, Y = np.array([input().split() for _ in range(N)], dtype=np.float64).T # ひとつずつ計算する。垂直二等分線のどっちか側。 # 半平面の共通部分 def solve(i): Xother = np.delete(X, i) Yother = np.delete(Y, i) angle = np.arctan2(Y[i] - Yother, X[i] - Xother) # 半平面の中心線 # 下半平面との共通部分、主値で持つ case1 = angle <= -pi / 2 case2 = (-pi / 2 <= angle) & (angle <= pi / 2) case3 = pi / 2 <= angle lower_left = np.zeros_like(angle) lower_left[case1] = -pi lower_left[case2] = angle[case2] - pi / 2 lower_left[case3] = -pi / 2 lower_right = np.zeros_like(angle) lower_right[case1] = angle[case1] + pi / 2 lower_right[case2] = 0 lower_right[case3] = angle[case3] + pi / 2 - 2 * pi upper_left = np.zeros_like(angle) upper_left[case1] = angle[case1] + 3 * pi / 2 upper_left[case2] = 0 upper_left[case3] = angle[case3] - pi / 2 upper_right = np.zeros_like(angle) upper_right[case1] = pi upper_right[case2] = angle[case2] + pi / 2 upper_right[case3] = pi p_upper = max(0, upper_right.min() - upper_left.max()) / (2 * pi) p_lower = max(0, lower_right.min() - lower_left.max()) / (2 * pi) return p_upper + p_lower answer = [solve(i) for i in range(N)] print(*answer, sep="\n")
Statement There are N holes in a two-dimensional plane. The coordinates of the i-th hole are (x_i,y_i). Let R=10^{10^{10^{10}}}. Ringo performs the following operation: * Randomly choose a point from the interior of a circle of radius R centered at the origin, and put Snuke there. Snuke will move to the hole with the smallest Euclidean distance from the point, and fall into that hole. If there are multiple such holes, the hole with the smallest index will be chosen. For every i (1 \leq i \leq N), find the probability that Snuke falls into the i-th hole. Here, the operation of randomly choosing a point from the interior of a circle of radius R is defined as follows: * Pick two real numbers x and y independently according to uniform distribution on [-R,R]. * If x^2+y^2\leq R^2, the point (x,y) is chosen. Otherwise, repeat picking the real numbers x,y until the condition is met.
[{"input": "2\n 0 0\n 1 1", "output": "0.5\n 0.5\n \n\nIf Ringo put Snuke in the region x+y\\leq 1, Snuke will fall into the first\nhole. The probability of this happening is very close to 0.5. Otherwise, Snuke\nwill fall into the second hole, the probability of which happening is also\nvery close to 0.5.\n\n* * *"}, {"input": "5\n 0 0\n 2 8\n 4 5\n 2 6\n 3 10", "output": "0.43160120892732328768\n 0.03480224363653196956\n 0.13880483535586193855\n 0.00000000000000000000\n 0.39479171208028279727"}]
Print N real numbers. The i-th real number must represent the probability that Snuke falls into the i-th hole. The output will be judged correct when, for all output values, the absolute or relative error is at most 10^{-5}. * * *
s213576929
Accepted
p03428
Input is given from Standard Input in the following format: N x_1 y_1 : x_N y_N
import math from collections import defaultdict n = int(input()) ipt = [list(map(int, input().split())) for i in range(n)] xy = sorted(ipt) convh1 = [xy[0], xy[1]] def slope(xy1, xy2, const=1): x1, y1 = xy1 x2, y2 = xy2 dx, dy = x2 - x1, y2 - y1 if dx == 0: return 10**18 * (y2 - y1) * const // abs(y2 - y1) else: return dy / dx def convex(xy1, xy2, xy3, const=1): x1, y1 = xy1 x2, y2 = xy2 x3, y3 = xy3 if slope([x1, y1], [x2, y2], const) < slope([x2, y2], [x3, y3], const): return True return False for i in range(2, n): x, y = xy[i] while len(convh1) >= 2 and not convex(convh1[-2], convh1[-1], [x, y]): convh1.pop() convh1.append(xy[i]) convh2 = [xy[-1], xy[-2]] for i in range(n - 2)[::-1]: x, y = xy[i] while len(convh2) >= 2 and not convex(convh2[-2], convh2[-1], [x, y], -1): convh2.pop() convh2.append(xy[i]) convh = convh1 + convh2[1:-1] prob = [0 for i in convh] dc = defaultdict(int) for i, xy in enumerate(convh): x, y = xy px, py = convh[i - 1] nx, ny = convh[(i + 1) % len(convh)] px -= x py -= y nx -= x ny -= y rad = math.atan2(ny, nx) - math.atan2(py, px) dc[(x, y)] = (math.pi - min(abs(rad), 2 * math.pi - abs(rad))) / (2 * math.pi) for x, y in ipt: print(dc[(x, y)])
Statement There are N holes in a two-dimensional plane. The coordinates of the i-th hole are (x_i,y_i). Let R=10^{10^{10^{10}}}. Ringo performs the following operation: * Randomly choose a point from the interior of a circle of radius R centered at the origin, and put Snuke there. Snuke will move to the hole with the smallest Euclidean distance from the point, and fall into that hole. If there are multiple such holes, the hole with the smallest index will be chosen. For every i (1 \leq i \leq N), find the probability that Snuke falls into the i-th hole. Here, the operation of randomly choosing a point from the interior of a circle of radius R is defined as follows: * Pick two real numbers x and y independently according to uniform distribution on [-R,R]. * If x^2+y^2\leq R^2, the point (x,y) is chosen. Otherwise, repeat picking the real numbers x,y until the condition is met.
[{"input": "2\n 0 0\n 1 1", "output": "0.5\n 0.5\n \n\nIf Ringo put Snuke in the region x+y\\leq 1, Snuke will fall into the first\nhole. The probability of this happening is very close to 0.5. Otherwise, Snuke\nwill fall into the second hole, the probability of which happening is also\nvery close to 0.5.\n\n* * *"}, {"input": "5\n 0 0\n 2 8\n 4 5\n 2 6\n 3 10", "output": "0.43160120892732328768\n 0.03480224363653196956\n 0.13880483535586193855\n 0.00000000000000000000\n 0.39479171208028279727"}]
Print N real numbers. The i-th real number must represent the probability that Snuke falls into the i-th hole. The output will be judged correct when, for all output values, the absolute or relative error is at most 10^{-5}. * * *
s590585541
Wrong Answer
p03428
Input is given from Standard Input in the following format: N x_1 y_1 : x_N y_N
N = input() print(int(N[0]) - 1 + 9 * (len(N) - 1))
Statement There are N holes in a two-dimensional plane. The coordinates of the i-th hole are (x_i,y_i). Let R=10^{10^{10^{10}}}. Ringo performs the following operation: * Randomly choose a point from the interior of a circle of radius R centered at the origin, and put Snuke there. Snuke will move to the hole with the smallest Euclidean distance from the point, and fall into that hole. If there are multiple such holes, the hole with the smallest index will be chosen. For every i (1 \leq i \leq N), find the probability that Snuke falls into the i-th hole. Here, the operation of randomly choosing a point from the interior of a circle of radius R is defined as follows: * Pick two real numbers x and y independently according to uniform distribution on [-R,R]. * If x^2+y^2\leq R^2, the point (x,y) is chosen. Otherwise, repeat picking the real numbers x,y until the condition is met.
[{"input": "2\n 0 0\n 1 1", "output": "0.5\n 0.5\n \n\nIf Ringo put Snuke in the region x+y\\leq 1, Snuke will fall into the first\nhole. The probability of this happening is very close to 0.5. Otherwise, Snuke\nwill fall into the second hole, the probability of which happening is also\nvery close to 0.5.\n\n* * *"}, {"input": "5\n 0 0\n 2 8\n 4 5\n 2 6\n 3 10", "output": "0.43160120892732328768\n 0.03480224363653196956\n 0.13880483535586193855\n 0.00000000000000000000\n 0.39479171208028279727"}]
Print N real numbers. The i-th real number must represent the probability that Snuke falls into the i-th hole. The output will be judged correct when, for all output values, the absolute or relative error is at most 10^{-5}. * * *
s317885073
Wrong Answer
p03428
Input is given from Standard Input in the following format: N x_1 y_1 : x_N y_N
n = int(input()) for i in range(n): print("nan")
Statement There are N holes in a two-dimensional plane. The coordinates of the i-th hole are (x_i,y_i). Let R=10^{10^{10^{10}}}. Ringo performs the following operation: * Randomly choose a point from the interior of a circle of radius R centered at the origin, and put Snuke there. Snuke will move to the hole with the smallest Euclidean distance from the point, and fall into that hole. If there are multiple such holes, the hole with the smallest index will be chosen. For every i (1 \leq i \leq N), find the probability that Snuke falls into the i-th hole. Here, the operation of randomly choosing a point from the interior of a circle of radius R is defined as follows: * Pick two real numbers x and y independently according to uniform distribution on [-R,R]. * If x^2+y^2\leq R^2, the point (x,y) is chosen. Otherwise, repeat picking the real numbers x,y until the condition is met.
[{"input": "2\n 0 0\n 1 1", "output": "0.5\n 0.5\n \n\nIf Ringo put Snuke in the region x+y\\leq 1, Snuke will fall into the first\nhole. The probability of this happening is very close to 0.5. Otherwise, Snuke\nwill fall into the second hole, the probability of which happening is also\nvery close to 0.5.\n\n* * *"}, {"input": "5\n 0 0\n 2 8\n 4 5\n 2 6\n 3 10", "output": "0.43160120892732328768\n 0.03480224363653196956\n 0.13880483535586193855\n 0.00000000000000000000\n 0.39479171208028279727"}]
Print N real numbers. The i-th real number must represent the probability that Snuke falls into the i-th hole. The output will be judged correct when, for all output values, the absolute or relative error is at most 10^{-5}. * * *
s862423164
Runtime Error
p03428
Input is given from Standard Input in the following format: N x_1 y_1 : x_N y_N
package main import ( "bufio" "os" "strconv" "strings" "fmt" "math" ) var reader = bufio.NewReaderSize(os.Stdin, 1000000) var writer = bufio.NewWriter(os.Stdout) func NextLine() string { buffer := make([]byte, 0) for true { line, isPrefix, err := reader.ReadLine() if err != nil { panic(err) } buffer = append(buffer, line...) if !isPrefix { break } } return string(buffer) } func NextInt() int { n, _ := strconv.Atoi(NextLine()) return n } func NextFloatVec() []float64 { L := strings.Split(NextLine(), " ") N := make([]float64, len(L)) for i := range N { N[i], _ = strconv.ParseFloat(L[i], 64) } return N } func Write(s interface{}) { fmt.Fprintln(writer, s) } func Output() { _ = writer.Flush() } func Dist(mode int, A ...*[]float64) float64 { if len(A) < 1 { return 0.0 } if len(A) < 2 { A = append(A, &[]float64{0.0, 0.0}) } D := 0.0 for i := range (*A[0]) { x := (*A[0])[i] - (*A[1])[i] D += x * x } if mode == 1 { D = math.Sqrt(D) } return D } func InnerProduct(A, B *[]float64) float64 { IP := 0.0 for i, a := range (*A) { IP += a * (*B)[i] } return IP } func Angle(A ...*[]float64) float64 { if len(A) < 2 { return 0.0 } if len(A) < 3 { a := make([]float64, len((*A[0]))) A = append(A, &a) } _A := make([]float64, len((*A[0]))) _B := make([]float64, len((*A[0]))) for i := range (*A[0]) { _A[i] = (*A[0])[i] - (*A[2])[i] _B[i] = (*A[1])[i] - (*A[2])[i] } acos := math.Acos(InnerProduct(&_A, &_B) / Dist(1, &_A) / Dist(1, &_B)) theta := acos / math.Pi * 180.0 _A_ := []float64{-_A[1], _A[0]} if InnerProduct(&_A_, &_B) < 0 { theta = 360 - theta } return theta } func TriangleArea(mode int, A ...*[]float64) float64 { if len(A) < 2 { return 0.0 } if len(A) < 3 { _A := make([]*[]float64, 0) a := make([]float64, len((*A[0]))) _A = append(_A, &a) A = append(_A, A...) } AB := []float64{(*A[1])[0] - (*A[0])[0], (*A[1])[1] - (*A[0])[1]} AC := []float64{(*A[2])[0] - (*A[0])[0], (*A[2])[1] - (*A[0])[1]} S := math.Abs(AB[0] * AC[1] - AB[1] * AC[0]) if mode == 1 { S /= 2.0 } return S } func OuterCircle(A, B, C *[]float64) (X, Y, R float64) { AB := []float64{(*B)[0] - (*A)[0], (*B)[1] - (*A)[1]} AC := []float64{(*C)[0] - (*A)[0], (*C)[1] - (*A)[1]} AB2 := Dist(2, &AB) AC2 := Dist(2, &AC) IP := InnerProduct(&AB, &AC) b := AC2 * (IP - AB2) / (2 * (IP * IP - AB2 * AC2)) c := AB2 * (IP - AC2) / (2 * (IP * IP - AB2 * AC2)) X = (*A)[0] + AB[0] * b + AC[0] * c Y = (*A)[1] + AB[1] * b + AC[1] * c S := TriangleArea(1, A, B, C) ab := math.Sqrt(AB2) bc := Dist(1, B, C) ca := math.Sqrt(AC2) R = ab * bc * ca / (4 * S) return } func Less(A *[][]float64, i, j int) bool { if (*A)[i][0] == (*A)[j][0] { return (*A)[i][1] < (*A)[j][1] } return (*A)[i][0] < (*A)[j][0] } func Convex(A *[][]float64) []int { C := make([]int, 0) h := 0 for i := range (*A) { if Less(A, h, i) { h = i } } next := h for len(C) == 0 || next != h { C = append(C, next) p := (*A)[next] for i, a := range (*A) { if i == next { continue } _A := []float64{a[0] - p[0], a[1] - p[1]} D1 := Dist(2, &a, &p) convex := true for j, b := range (*A) { if j == next || j == i { continue } _B := []float64{b[0] - p[0], b[1] - p[1]} D2 := Dist(2, &b, &p) OP := _A[0] * _B[1] - _A[1] * _B[0] if math.Abs(OP) < 1e-5 { if D2 < D1 { continue } } else if OP < 0.0 { continue } convex = false break } if !convex { continue } next = i break } } return C } func Solve() { N := NextInt() A := make([][]float64, N) for i := range A { A[i] = NextFloatVec() } C := Convex(&A) C = append(C, C...) R := make([]float64, N) for i := 0; i < len(C) / 2; i++ { if C[i] == C[i + 2] { R[C[i + 1]] = 180.0 continue } x, y, _ := OuterCircle(&A[C[i]], &A[C[i + 1]], &A[C[i + 2]]) _A := []float64{A[C[i + 2]][0] - x, A[C[i + 2]][1] - y} _B := []float64{A[C[i]][0] - x, A[C[i]][1] - y} theta := Angle(&_A, &_B) R[C[i + 1]] = theta / 2.0 } for _, r := range R { Write(r / 360.0) } return } func main() { Solve() Output() }
Statement There are N holes in a two-dimensional plane. The coordinates of the i-th hole are (x_i,y_i). Let R=10^{10^{10^{10}}}. Ringo performs the following operation: * Randomly choose a point from the interior of a circle of radius R centered at the origin, and put Snuke there. Snuke will move to the hole with the smallest Euclidean distance from the point, and fall into that hole. If there are multiple such holes, the hole with the smallest index will be chosen. For every i (1 \leq i \leq N), find the probability that Snuke falls into the i-th hole. Here, the operation of randomly choosing a point from the interior of a circle of radius R is defined as follows: * Pick two real numbers x and y independently according to uniform distribution on [-R,R]. * If x^2+y^2\leq R^2, the point (x,y) is chosen. Otherwise, repeat picking the real numbers x,y until the condition is met.
[{"input": "2\n 0 0\n 1 1", "output": "0.5\n 0.5\n \n\nIf Ringo put Snuke in the region x+y\\leq 1, Snuke will fall into the first\nhole. The probability of this happening is very close to 0.5. Otherwise, Snuke\nwill fall into the second hole, the probability of which happening is also\nvery close to 0.5.\n\n* * *"}, {"input": "5\n 0 0\n 2 8\n 4 5\n 2 6\n 3 10", "output": "0.43160120892732328768\n 0.03480224363653196956\n 0.13880483535586193855\n 0.00000000000000000000\n 0.39479171208028279727"}]
Print N real numbers. The i-th real number must represent the probability that Snuke falls into the i-th hole. The output will be judged correct when, for all output values, the absolute or relative error is at most 10^{-5}. * * *
s919318781
Accepted
p03428
Input is given from Standard Input in the following format: N x_1 y_1 : x_N y_N
import math N = int(input()) ps = [] for i in range(N): x, y = map(int, input().split()) ps.append((x, y, i)) ps.sort() # i -> j のベクトル def vec(pi, pj): return (pj[0] - pi[0], pj[1] - pi[1]) # i -> j 向きの外積 def det(vi, vj): return vi[0] * vj[1] - vi[1] * vj[0] # 凸包を求める cvx = [] for i in list(range(N)) + list(range(N - 1))[::-1]: while ( len(cvx) >= 2 and det(vec(ps[cvx[-2]], ps[cvx[-1]]), vec(ps[cvx[-1]], ps[i])) < 0 ): cvx.pop() cvx.append(i) # 凸包の各頂点について、頂点から出る2辺のなす角を計算 ans = {} pi = None for i in cvx: x, y, j = ps[i] if pi is not None: px, py, pj = ps[pi] slope = math.atan2(y - py, x - px) if j not in ans: ans[j] = [0, 0] if pj not in ans: ans[pj] = [0, 0] ans[j][0] = slope ans[pj][1] = slope pi = i for i in range(N): if i not in ans: print(0) continue v1, v2 = ans[i] if v2 < v1: v2 += 2 * math.pi print(round((v2 - v1) / (2 * math.pi), 8))
Statement There are N holes in a two-dimensional plane. The coordinates of the i-th hole are (x_i,y_i). Let R=10^{10^{10^{10}}}. Ringo performs the following operation: * Randomly choose a point from the interior of a circle of radius R centered at the origin, and put Snuke there. Snuke will move to the hole with the smallest Euclidean distance from the point, and fall into that hole. If there are multiple such holes, the hole with the smallest index will be chosen. For every i (1 \leq i \leq N), find the probability that Snuke falls into the i-th hole. Here, the operation of randomly choosing a point from the interior of a circle of radius R is defined as follows: * Pick two real numbers x and y independently according to uniform distribution on [-R,R]. * If x^2+y^2\leq R^2, the point (x,y) is chosen. Otherwise, repeat picking the real numbers x,y until the condition is met.
[{"input": "2\n 0 0\n 1 1", "output": "0.5\n 0.5\n \n\nIf Ringo put Snuke in the region x+y\\leq 1, Snuke will fall into the first\nhole. The probability of this happening is very close to 0.5. Otherwise, Snuke\nwill fall into the second hole, the probability of which happening is also\nvery close to 0.5.\n\n* * *"}, {"input": "5\n 0 0\n 2 8\n 4 5\n 2 6\n 3 10", "output": "0.43160120892732328768\n 0.03480224363653196956\n 0.13880483535586193855\n 0.00000000000000000000\n 0.39479171208028279727"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s354019440
Accepted
p02393
Three integers separated by a single space are given in a line.
x = [] x = input().split() x[0], x[1], x[2] = int(x[0]), int(x[1]), int(x[2]) if x[0] > x[1]: a = x[0] x[0] = x[1] x[1] = a if x[1] > x[2]: a = x[2] x[2] = x[1] x[1] = a if x[0] > x[1]: a = x[0] x[0] = x[1] x[1] = a print(str(x[0]), str(x[1]), str(x[2]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s725400394
Accepted
p02393
Three integers separated by a single space are given in a line.
x = list(map(int, input().split())) if x[0] > x[1]: x[0], x[1] = x[1], x[0] if x[1] > x[2]: x[1], x[2] = x[2], x[1] if x[0] > x[1]: x[0], x[1] = x[1], x[0] print(*x)
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s360111724
Accepted
p02393
Three integers separated by a single space are given in a line.
inputDataList = input().split() outputDataList = [] for i in inputDataList: outputDataList.append(int(i)) outputDataList.sort() print("{} {} {}".format(outputDataList[0], outputDataList[1], outputDataList[2]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s732977381
Wrong Answer
p02393
Three integers separated by a single space are given in a line.
table = list(map(int, input().split())) i = 2 k = 0 while k < i: if table[k] > table[k + 1]: table[k], table[k + 1] = table[k + 1], table[k] k += 1 print(table[0], table[1], table[2])
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s755877217
Accepted
p02393
Three integers separated by a single space are given in a line.
data1 = list(int(i) for i in input().split()) data1.sort() data2 = map(str, data1) data3 = " ".join(data2) print(data3)
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s104161620
Accepted
p02393
Three integers separated by a single space are given in a line.
line = (int(x) for x in input().split()) # 3つの数の整列 hoge = sorted(line) print(hoge[0], hoge[1], hoge[2], end="\n")
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s403035206
Accepted
p02393
Three integers separated by a single space are given in a line.
[a, b, c] = (int(x) for x in input().split()) y = sorted([a, b, c]) print(*y)
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s048516526
Accepted
p02393
Three integers separated by a single space are given in a line.
a = sorted([int(x) for x in input().split(" ")]) a = [str(x) for x in a] print(" ".join(a))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s861900058
Accepted
p02393
Three integers separated by a single space are given in a line.
s = [int(i) for i in input().split()] s = sorted(s) s = [str(i) for i in s] print(" ".join(s))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s350181937
Accepted
p02393
Three integers separated by a single space are given in a line.
l = input().split() li = list(map(int, l)) num = len(li) for i in range(num - 1): if li[i] > li[i + 1]: t = li[i] li[i] = li[i + 1] li[i + 1] = t if li[0] > li[1]: t = li[0] li[0] = li[1] li[1] = t a, b, c = li print(a, b, c)
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s994040096
Accepted
p02393
Three integers separated by a single space are given in a line.
base = input("") term = base.split(" ") sort_list = [int(term[0]), int(term[1]), int(term[2])] sort_list.sort() print("{} {} {}".format(sort_list[0], sort_list[1], sort_list[2]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s827003270
Wrong Answer
p02393
Three integers separated by a single space are given in a line.
nums = [int(e) for e in input().split()] for i in range(len(nums)): for j in range(i): if nums[i] < nums[j]: a = nums[i] nums[i] = nums[j] nums[j] = a print(nums)
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s449591354
Accepted
p02393
Three integers separated by a single space are given in a line.
l = sorted(list(map(int, input().split()))) for i in range(len(l) - 1): print(l[i], end=" ") print(l[-1])
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s773365081
Wrong Answer
p02393
Three integers separated by a single space are given in a line.
lis = [int(x) for x in input().split()] lis.sort(reverse=True) for i in range(2): print(lis[i], end=" ") print(lis[-1])
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s460378939
Accepted
p02393
Three integers separated by a single space are given in a line.
In = list(map(int, input().split())) In.sort() print(In[0], In[1], In[2])
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s123533484
Accepted
p02393
Three integers separated by a single space are given in a line.
print(*sorted([int(a) for a in input().split()]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s112763827
Accepted
p02393
Three integers separated by a single space are given in a line.
print(*sorted([int(n) for n in input().split()]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s978846727
Accepted
p02393
Three integers separated by a single space are given in a line.
print(*sorted(int(x) for x in input().split()))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s136179065
Accepted
p02393
Three integers separated by a single space are given in a line.
print(*sorted([int(_) for _ in input().split()]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s039020618
Wrong Answer
p02393
Three integers separated by a single space are given in a line.
print(sorted([int(i) for i in input().split()]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s737738289
Accepted
p02393
Three integers separated by a single space are given in a line.
a = input().split(" ") temp = a[0] if a[0] > a[1]: temp = a[1] a[1] = a[0] a[0] = temp if a[1] > a[2]: temp = a[2] a[2] = a[1] a[1] = temp if a[0] > a[1]: temp = a[1] a[1] = a[0] a[0] = temp print(str(a[0]) + " " + str(a[1]) + " " + str(a[2]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s394862399
Runtime Error
p02393
Three integers separated by a single space are given in a line.
num = [int(i) for i in input().split()] for i in range(len(num)): for j in range(i + 1, len(num) + 1): if num[i] > num[j]: bigger = num[i] num[i] = num[j] num[j] = bigger for i in range(len(num)): print(num[i], end="")
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s909971964
Accepted
p02393
Three integers separated by a single space are given in a line.
target = list(map(int, input().split())) target.sort() target = list(map(str, target)) print(" ".join(target))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s846260451
Accepted
p02393
Three integers separated by a single space are given in a line.
num_list = list(input().split()) sorted_list = sorted(num_list) answer = " ".join(sorted_list) print(answer)
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s570872110
Accepted
p02393
Three integers separated by a single space are given in a line.
num_sorted = list(map(int, input().split())) num_sorted.sort() print("{} {} {}".format(num_sorted[0], num_sorted[1], num_sorted[2]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s781159924
Runtime Error
p02393
Three integers separated by a single space are given in a line.
InData = input().split Indata = map(int, InData) sorted = sorted(InData) print(" ".join(map(str, sorted)))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s128522998
Runtime Error
p02393
Three integers separated by a single space are given in a line.
d = input() a, b, c = map(int, d.split()) e = [a, b, c] e.sort() print(e[0] + " " + e[1] + " " + e[2])
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s656428129
Accepted
p02393
Three integers separated by a single space are given in a line.
x, y, z = map(str, input().split()) p = [x, y, z] p.sort() print(" ".join(map(str, p)))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s164327355
Accepted
p02393
Three integers separated by a single space are given in a line.
num_list = sorted(list(map(int, input().split()))) print(*num_list, sep=" ")
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s537559794
Accepted
p02393
Three integers separated by a single space are given in a line.
li = map(int, input().split(" ")) sorted_list = sorted(li) print(" ".join(map(str, sorted_list)))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s047814278
Runtime Error
p02393
Three integers separated by a single space are given in a line.
n = input().split() m = int(n[0]) c = int(n[1]) d = int(n[2]) n.sort() print(m[0], c[1], d[2])
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s141569153
Runtime Error
p02393
Three integers separated by a single space are given in a line.
inputlines = list(map(int, input().split())) li = inputlines.sort() print(" ".join(map(str, li)))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s120707339
Runtime Error
p02393
Three integers separated by a single space are given in a line.
sorted([int(x) for x in input().split()]) print(sorted[0] + " " + sorted[1] + " " + sorted[2])
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s603135306
Accepted
p02393
Three integers separated by a single space are given in a line.
X = sorted(list(map(int, input().split()))) print(X[0], X[1], X[2])
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s489590379
Accepted
p02393
Three integers separated by a single space are given in a line.
L = list(map(int, input().split())) L.sort() print(*L)
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s942420413
Runtime Error
p02393
Three integers separated by a single space are given in a line.
x = map(int, input().split()) print(" ".join(x.sort()))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s291723194
Runtime Error
p02393
Three integers separated by a single space are given in a line.
input() print(*sorted(input().split()))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s999484835
Accepted
p02393
Three integers separated by a single space are given in a line.
inps = input().split() lst = [int(i) for i in inps] for idx in range(len(lst) - 1): for idx_next in range(idx + 1, len(lst)): if lst[idx] > lst[idx_next]: tmp = lst[idx_next] lst[idx_next] = lst[idx] lst[idx] = tmp print("{} {} {}".format(lst[0], lst[1], lst[2]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s976981241
Accepted
p02393
Three integers separated by a single space are given in a line.
i = j = k = 0 n = "" m = "" l = "" line = input() while line[i] != " ": n = n + line[i] i += 1 i += 1 while line[i] != " ": l = l + line[i] i += 1 while i < len(line): m = m + line[i] i += 1 n = int(n) l = int(l) m = int(m) min = n if min > l: min = l if min > m: min = m max = n if max < l: max = l if max < m: max = m if min < n < max: cen = n elif min < l < max: cen = l else: cen = m print(min, end=" ") print(cen, end=" ") print(max)
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s887552060
Wrong Answer
p02393
Three integers separated by a single space are given in a line.
a, b, c = input().split(" ") if int(a) > int(b) > int(c): print(int(c), int(b), int(a)) elif int(b) > int(c) > int(a): print(int(a), int(c), int(b)) elif int(c) > int(a) > int(b): print(int(b), int(a), int(c)) elif int(c) > int(b) > int(a): print(int(a), int(b), int(c)) elif int(b) > int(a) > int(c): print(int(c), int(a), int(b)) else: print(int(b), int(c), int(a))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s628717383
Accepted
p02393
Three integers separated by a single space are given in a line.
# encoding:utf-8 input = list(map(int, input().split(" "))) input.sort() print(str(input[0]) + " " + str(input[1]) + " " + str(input[2]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s383377079
Accepted
p02393
Three integers separated by a single space are given in a line.
al = list(map(int, input().split())) al = sorted(al) print(al[0], al[1], al[2])
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s571529191
Accepted
p02393
Three integers separated by a single space are given in a line.
t = list(map(int, input().split())) t.sort() print(" ".join(list(map(str, t))))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s396401959
Accepted
p02393
Three integers separated by a single space are given in a line.
print(" ".join([str(i) for i in sorted([int(w) for w in input().split()])]))
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]
Print the given integers in ascending order in a line. Put a single space between two integers.
s684931212
Accepted
p02393
Three integers separated by a single space are given in a line.
memo = input().split() [int(i) for i in memo] memo.sort() print(memo[0] + " " + memo[1] + " " + memo[2])
Sorting Three Numbers Write a program which reads three integers, and prints them in ascending order.
[{"input": "3 8 1", "output": "1 3 8"}]