import sys; input = sys.stdin.buffer.readline
# sys.setrecursionlimit(10**7)
from collections import defaultdict
con = 10 ** 9 + 7; INF = float("inf")

def getlist():
	return list(map(int, input().split()))

class lazySegTree(object):
	# N:処理する区間の長さ
	def __init__(self, N):
		self.N = N
		self.LV = (N - 1).bit_length()
		self.N0 = 2 ** self.LV
		self.initVal = 0
		self.data = [0] * (2 * self.N0)
		self.lazy = [0] * (2 * self.N0)

	# 区間クエリの種類
	def calc(self, a, b):
		return max(a, b)

	# 遅延セグ木の初期化
	def initialize(self, A):
		for i in range(self.N):
			self.data[self.N0 - 1 + i] = A[i]
		for i in range(self.N0 - 2, -1, -1):
			self.data[i] = self.calc(self.data[2 * i + 1], self.data[2 * i + 2])

	# 遅延伝播を行うindexを生成
	def gindex(self, l, r):
		L = (l + self.N0) >> 1; R = (r + self.N0) >> 1
		lc = 0 if l & 1 else (L & -L).bit_length()
		rc = 0 if r & 1 else (R & -R).bit_length()
		for i in range(self.LV):
			if rc <= i:
				yield R
			if L < R and lc <= i:
				yield L
			L >>= 1; R >>= 1

	# 遅延伝搬処理
	def propagates(self, *ids):
		for i in reversed(ids):
			v = self.lazy[i - 1]
			if not v:
				continue
			self.lazy[2 * i - 1] += v; self.lazy[2 * i] += v
			self.data[2 * i - 1] += v; self.data[2 * i] += v
			self.lazy[i - 1] = 0

	# 区間[l, r]にxを加算
	def update(self, l, r, x):
		*ids, = self.gindex(l, r + 1)
		self.propagates(*ids)

		L = self.N0 + l; R = self.N0 + r + 1
		while L < R:
			if R & 1:
				R -= 1
				self.lazy[R - 1] += x; self.data[R - 1] += x
			if L & 1:
				self.lazy[L - 1] += x; self.data[L - 1] += x
				L += 1
			L >>= 1; R >>= 1
		for i in ids:
			self.data[i - 1] = self.calc(self.data[2 * i - 1], self.data[2 * i])

	# 区間[l, r]内の最大値を求める
	def query(self, l, r):
		self.propagates(*self.gindex(l, r + 1))
		L = self.N0 + l; R = self.N0 + r + 1

		s = self.initVal
		while L < R:
			if R & 1:
				R -= 1
				s = self.calc(s, self.data[R - 1])
			if L & 1:
				s = self.calc(s, self.data[L - 1])
				L += 1
			L >>= 1; R >>= 1
		return s

#処理内容
def main():
	N = int(input())
	T = getlist()
	M = int(input())
	Lis = [T[i] - 3 * i for i in range(N - 1)]
	lSeg = lazySegTree(N - 1)
	lSeg.initialize(Lis)
	for _ in range(M):
		L, R, D = getlist()
		L -= 1; R -= 1
		lSeg.update(L, R, D)
		ans = lSeg.query(0, N - 1)
		print(3 * (N - 1) + ans)

if __name__ == '__main__':
	main()