用python重写下线段树模板,线段树的记忆点在于脑子里要有线段树,特点是自顶向下构建
class segment_tree:
def __init__(self, nums):
n = len(nums)
self.nums = nums
self.tree = [0] * 4 * n
self.tag = [0] * 4 * n
def update(self, root):
self.tree[root] = self.tree[root * 2] + self.tree[root * 2 + 1]
# lazy change
def down(self, left, right, root):
mid = (left + right) // 2
if self.tag[root] != 0:
self.tag[root * 2] += self.tag[root]
self.tag[root * 2 + 1] += self.tag[root]
self.tree[root * 2] += (mid - left + 1) * self.tag[root]
self.tree[root * 2 + 1] += (right - mid) * self.tag[root]
self.tag[root] = 0
# [A, B] add v
# change(A, B, v, 1, n, 1)
def change(self, A, B, v, left, right, root):
if A <= left <= right <= B:
self.tag[root] += v
self.tree[root] += (right - left + 1) * v
return
self.down(left, right, root)
mid = (left + right) // 2
if mid >= A:
self.change(A, B, v, left, mid, root * 2)
if mid + 1 <= B:
self.change(A, B, v, mid + 1, right, root * 2 + 1)
self.update(root)
# build(1, n, 1)
def build(self, left, right, root):
if left == right:
self.tree[root] = self.nums[left - 1]
return
mid = (left + right) // 2
self.build(left, mid, root * 2)
self.build(mid + 1, right, root * 2 + 1)
self.update(root)
# query(A, B, 1, n, 1)
def query(self, A, B, left, right, root):
if A <= left <= right <= B:
return self.tree[root]
self.down(left, right, root)
mid = (left + right) // 2
res = 0
if mid >= A:
res += self.query(A, B, left, mid, root * 2)
if mid + 1 <= B:
res += self.query(A, B, mid + 1, right, root * 2 + 1)
return res
import sys
n, m = map(int, sys.stdin.readline().split())
nums = list(map(int, sys.stdin.readline().split()))
tree = segment_tree(nums)
tree.build(1, n, 1)
for _ in range(m):
a = list(map(int, sys.stdin.readline().split()))
# change
if len(a) == 4:
x = a[1]
y = a[2]
k = a[3]
tree.change(x, y, k, 1, n, 1)
# query
else:
x = a[1]
y = a[2]
res = tree.query(x, y, 1, n, 1)
print(res)