結果
| 問題 | No.3614 Breaking door keys（LITTLE BREAK ver.） |
| コンテスト | |
| ユーザー |
 lif4635
|
| 提出日時 | 2026-08-06 15:02:35 |
| 言語 | PyPy3 (7.3.17) |
| 結果 |
AC
|
| 実行時間 | 1,097 ms / 2,000 ms |
| + 774µs | |
| コード長 | 7,419 bytes |
| 記録 | |
| コンパイル時間 | 238 ms |
| コンパイル使用メモリ | 95,976 KB |
| 実行使用メモリ | 125,480 KB |
| 最終ジャッジ日時 | 2026-08-06 15:03:03 |
| 合計ジャッジ時間 | 23,076 ms |
|
ジャッジサーバーID （参考情報） |
judge2_0 / judge3_0 |
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| サブタスク | 配点 | 結果 |
|---|---|---|
| サンプル | 0 % | AC * 3 |
| 小課題1 | 10 % | AC * 7 |
| 小課題2 | 20 % | AC * 7 |
| 小課題3 | 30 % | AC * 7 |
| 小課題4 | 30 % | AC * 14 |
| 小課題5 | 10 % | AC * 38 |
| 合計 | 2.5 * 100% = 250 点 |
ソースコード
# BEGIN Yura Desk bundle: library_codex.data_structure.SegmentTree
"""Point updates and range products for an arbitrary monoid.
Use this when values change one position at a time and a half-open interval
must be folded with an associative operation. ``max_right`` and ``min_left``
also find the first boundary where a monotone predicate stops holding.
"""
class SegmentTree:
__slots__ = ("n", "size", "log", "data", "op", "identity")
def __init__(self, values, op, identity):
if isinstance(values, int):
n = values
values = [identity] * n
else:
values = list(values)
n = len(values)
size = 1 << (n - 1).bit_length() if n else 1
data = [identity] * (size << 1)
data[size : size + n] = values
for node in range(size - 1, 0, -1):
data[node] = op(data[node << 1], data[node << 1 | 1])
self.n = n
self.size = size
self.log = size.bit_length() - 1
self.data = data
self.op = op
self.identity = identity
def set(self, index, value):
node = index + self.size
data = self.data
data[node] = value
op = self.op
node >>= 1
while node:
data[node] = op(data[node << 1], data[node << 1 | 1])
node >>= 1
def add(self, index, value):
"""indexの現在値をop(value, current)で置き換える。O(log N)。"""
node = index + self.size
data = self.data
op = self.op
data[node] = op(value, data[node])
node >>= 1
while node:
data[node] = op(data[node << 1], data[node << 1 | 1])
node >>= 1
def get(self, index):
return self.data[index + self.size]
def tolist(self):
"""現在の要素列をlistで返す。O(N)。"""
return self.data[self.size:self.size + self.n]
def __str__(self):
return str(self.tolist())
def __repr__(self):
return "SegmentTree(%r)" % self.tolist()
def prod(self, left, right):
left += self.size
right += self.size
first = self.identity
second = self.identity
data = self.data
op = self.op
while left < right:
if left & 1:
first = op(first, data[left])
left += 1
if right & 1:
right -= 1
second = op(data[right], second)
left >>= 1
right >>= 1
return op(first, second)
query = prod
def all_prod(self):
return self.data[1]
def max_right(self, left, predicate):
if left == self.n:
return self.n
left += self.size
value = self.identity
data = self.data
op = self.op
while True:
while not left & 1:
left >>= 1
merged = op(value, data[left])
if not predicate(merged):
while left < self.size:
left <<= 1
merged = op(value, data[left])
if predicate(merged):
value = merged
left += 1
return min(left - self.size, self.n)
value = merged
left += 1
if left & -left == left:
break
return self.n
def min_left(self, right, predicate):
if right == 0:
return 0
right += self.size
value = self.identity
data = self.data
op = self.op
while True:
right -= 1
while right > 1 and right & 1:
right >>= 1
merged = op(data[right], value)
if not predicate(merged):
while right < self.size:
right = right << 1 | 1
merged = op(data[right], value)
if predicate(merged):
value = merged
right -= 1
return max(0, right + 1 - self.size)
value = merged
if right & -right == right:
break
return 0
def __getitem__(self, index):
return self.get(index)
# END Yura Desk bundle: library_codex.data_structure.SegmentTree
# input
import sys
input = sys.stdin.readline
II = lambda : int(input())
MI = lambda : map(int, input().split())
LI = lambda : [int(a) for a in input().split()]
SI = lambda : input().rstrip()
LLI = lambda n : [[int(a) for a in input().split()] for _ in range(n)]
LSI = lambda n : [input().rstrip() for _ in range(n)]
MI_1 = lambda : map(lambda x:int(x)-1, input().split())
LI_1 = lambda : [int(a)-1 for a in input().split()]
mod = 998244353
inf = 1001001001001001001
ordalp = lambda s : ord(s)-65 if s.isupper() else ord(s)-97
ordallalp = lambda s : ord(s)-39 if s.isupper() else ord(s)-97
yes = lambda : print("Yes")
no = lambda : print("No")
yn = lambda flag : print("Yes" if flag else "No")
prinf = lambda ans : print(ans if ans < 1000001001001001001 else -1)
alplow = "abcdefghijklmnopqrstuvwxyz"
alpup = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
alpall = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ"
URDL = {'U':(-1,0), 'R':(0,1), 'D':(1,0), 'L':(0,-1)}
DIR_4 = [[-1,0],[0,1],[1,0],[0,-1]]
DIR_8 = [[-1,0],[-1,1],[0,1],[1,1],[1,0],[1,-1],[0,-1],[-1,-1]]
DIR_BISHOP = [[-1,1],[1,1],[1,-1],[-1,-1]]
prime60 = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59]
sys.set_int_max_str_digits(0)
# sys.setrecursionlimit(10**6)
# import pypyjit
# pypyjit.set_param('max_unroll_recursion=-1')
from collections import defaultdict,deque
from heapq import heappop,heappush
from bisect import bisect_left,bisect_right
DD = defaultdict
BSL = bisect_left
BSR = bisect_right
"""
monotone : argmin f(k, *) <= argmin f(k+1, *)
各行の最小値が単調に右にずれる
convex : 下に凸
concave : 上に凸
"""
def monotone_minima(h, w, select):
"""
monotone の 最小値indexの配列
bool select : a_(i,j) < a_(i,k) (j < k)
"""
min_col = [0] * h
que = [(0, h, 0, w)]
while que:
x1, x2, y1, y2 = que.pop()
if x1 == x2: continue
x = x1 + x2 >> 1
best_y = y1
for y in range(y1 + 1, y2):
if select(x, best_y, y): best_y = y
min_col[x] = best_y
que.append((x+1, x2, best_y, y2))
que.append((x1, x, y1, best_y+1))
return min_col
def minplus_convolusion_convex_convex(a, b):
n = len(a)
m = len(b)
c = [0] * (n + m - 1)
i = j = 0
c[0] = a[0] + b[0]
for k in range(1, n+m-1):
if j == m-1:
i += 1
elif i == n-1:
j += 1
elif a[i+1] + b[j] < a[i] + b[j+1]:
i += 1
else:
j += 1
c[k] = a[i] + b[j]
return c
def minplus_convolusion_arbitrary_convex(a, b):
n = len(a)
m = len(b)
def select(i, j, k):
if i < k: return False
if i - j >= m: return True
return a[j] + b[i-j] >= a[k] + b[i-k]
idx = monotone_minima(n + m - 1, n, select)
c = [0] * (n + m - 1)
for i , j in enumerate(idx):
c[i] = a[j] + b[i-j]
return c
def op(x, y):
return minplus_convolusion_convex_convex(x, y)[:11]
n, q = MI()
s = LI()
s = [[0, x] for x in s]
seg = SegmentTree(s, op, [0])
for i in range(q):
l, r, k = MI()
print(seg.prod(l-1, r)[k])