結果

問題 No.1330 Multiply or Divide
ユーザー lam6er
提出日時 2025-03-20 20:27:16
言語 PyPy3
(7.3.15)
結果
MLE  
実行時間 -
コード長 2,764 bytes
コンパイル時間 232 ms
コンパイル使用メモリ 82,328 KB
実行使用メモリ 624,664 KB
最終ジャッジ日時 2025-03-20 20:28:56
合計ジャッジ時間 4,092 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
other AC * 1 MLE * 1 -- * 44
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ソースコード

diff #
プレゼンテーションモードにする

import heapq
from collections import defaultdict
def main():
import sys
input = sys.stdin.read
data = input().split()
idx = 0
N = int(data[idx]); idx +=1
M = int(data[idx]); idx +=1
P = int(data[idx]); idx +=1
A = list(map(int, data[idx:idx+N]))
idx +=N
# Preprocess A into B_i and m_i (A_i = B_i * P^m_i)
B_list = []
m_list = []
for a in A:
if a == 0:
m = 0
B = 0
else:
m = 0
tmp = a
while tmp % P == 0:
m +=1
tmp = tmp // P
B = tmp
B_list.append(B)
m_list.append(m)
heap = []
visited = defaultdict(lambda: float('inf'))
initial_k = 1
initial_e = 0
initial_steps = 0
heapq.heappush(heap, (initial_steps, initial_k, initial_e))
visited[(initial_k, initial_e)] = initial_steps
answer = -1
while heap:
steps, k, e = heapq.heappop(heap)
# Check if current steps is higher than recorded
if steps > visited[(k, e)]:
continue
# Check division possibility
if e > 0:
# must divide
new_e = e -1
new_k = k
new_x = new_k * (P ** new_e)
new_steps = steps +1
if new_x > M:
answer = new_steps
print(answer)
return
else:
if new_steps < visited[(new_k, new_e)]:
visited[(new_k, new_e)] = new_steps
heapq.heappush(heap, (new_steps, new_k, new_e))
else:
# e == 0: can multiply by any A_i
for i in range(N):
B_i = B_list[i]
m_i = m_list[i]
# Compute new_x after multiplying by B_i and P^m_i
new_x_multiply = k * B_i * (P ** m_i)
if new_x_multiply > M:
current_candidate = steps +1
if answer == -1 or current_candidate < answer:
answer = current_candidate
print(answer)
return
continue
else:
new_k_after = k * B_i
new_steps_after = steps + m_i +1
new_e_after = 0
if new_steps_after < visited.get((new_k_after, new_e_after), float('inf')):
visited[(new_k_after, new_e_after)] = new_steps_after
heapq.heappush(heap, (new_steps_after, new_k_after, new_e_after))
print(answer)
if __name__ == '__main__':
main()
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