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import sys | ||
from dataclasses import dataclass | ||
from typing import Type, TypeVar | ||
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T = TypeVar("T") | ||
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def input(_type: Type[T] = str) -> T: | ||
return _type(sys.stdin.readline().strip()) | ||
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def input_n(_type: Type[T] = str) -> list[T]: | ||
return list(map(_type, input().split())) | ||
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class MaxSegTree: | ||
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def __init__(self, n: int) -> None: | ||
self.n = n | ||
self.tree = [0] * (4 * n) | ||
self.lazy = [0] * (4 * n) | ||
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def query(self, srt: int, end: int) -> int: | ||
return self._query(1, 0, self.n - 1, srt, end) | ||
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def _query(self, node: int, left: int, right: int, srt: int, end: int) -> int: | ||
if end < left or right < srt: | ||
return 0 | ||
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self._propagate_lazy(node) | ||
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if srt <= left and right <= end: | ||
return self.tree[node] | ||
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mid = (left + right) // 2 | ||
l_max = self._query(node * 2, left, mid, srt, end) | ||
r_max = self._query(node * 2 + 1, mid + 1, right, srt, end) | ||
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self.tree[node] = max(self.tree[node * 2], self.tree[node * 2 + 1]) | ||
return max(l_max, r_max) | ||
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def add(self, srt: int, end: int, v: int): | ||
self._add(1, 0, self.n - 1, srt, end, v) | ||
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def _add(self, node: int, left: int, right: int, srt: int, end: int, v: int): | ||
if end < left or right < srt: | ||
return | ||
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self._propagate_lazy(node) | ||
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if srt <= left and right <= end: | ||
self.tree[node] += v | ||
self.lazy[node] += v | ||
return | ||
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mid = (left + right) // 2 | ||
self._add(node * 2, left, mid, srt, end, v) | ||
self._add(node * 2 + 1, mid + 1, right, srt, end, v) | ||
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self.tree[node] = max(self.tree[node * 2], self.tree[node * 2 + 1]) | ||
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def _propagate_lazy(self, node: int): | ||
if node * 2 < len(self.tree): | ||
self.tree[node * 2] += self.lazy[node] | ||
self.lazy[node * 2] += self.lazy[node] | ||
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self.tree[node * 2 + 1] += self.lazy[node] | ||
self.lazy[node * 2 + 1] += self.lazy[node] | ||
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self.lazy[node] = 0 | ||
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class Bus: | ||
def __init__(self, c: int, n: int) -> None: | ||
self.c = c | ||
self.tree = MaxSegTree(n + 1) | ||
self._cum_people = 0 | ||
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def take(self, srt: int, end: int, people: int): | ||
cur_people = self.tree.query(srt, end - 1) | ||
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remain_cap = self.c - cur_people | ||
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taken = min(remain_cap, people) | ||
self._cum_people += taken | ||
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self.tree.add(srt, end - 1, taken) | ||
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@property | ||
def cum_people(self) -> int: | ||
return self._cum_people | ||
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@dataclass | ||
class Group: | ||
srt: int | ||
end: int | ||
people: int | ||
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K, N, C = input_n(int) | ||
bus = Bus(C, N) | ||
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groups: list[Group] = [] | ||
for _ in range(K): | ||
si, ei, mi = input_n(int) | ||
groups.append(Group(si, ei, mi)) | ||
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groups.sort(key=lambda g: (g.end, g.srt)) | ||
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for group in groups: | ||
bus.take(group.srt, group.end, group.people) | ||
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print(bus.cum_people) |