Polycarp is in really serious trouble — his house is on fire! It's time to save the most valuable items. Polycarp estimated that it would take t_{i} seconds to save i-th item. In addition, for each item, he estimated the value of d_{i} — the moment after which the item i will be completely burned and will no longer be valuable for him at all. In particular, if t_{i} ≥ d_{i}, then i-th item cannot be saved.

Given the values p_{i} for each of the items, find a set of items that Polycarp can save such that the total value of this items is maximum possible. Polycarp saves the items one after another. For example, if he takes item a first, and then item b, then the item a will be saved in t_{a} seconds, and the item b — in t_{a} + t_{b} seconds after fire started.


-----Input-----

The first line contains a single integer n (1 ≤ n ≤ 100) — the number of items in Polycarp's house.

Each of the following n lines contains three integers t_{i}, d_{i}, p_{i} (1 ≤ t_{i} ≤ 20, 1 ≤ d_{i} ≤ 2 000, 1 ≤ p_{i} ≤ 20) — the time needed to save the item i, the time after which the item i will burn completely and the value of item i.


-----Output-----

In the first line print the maximum possible total value of the set of saved items. In the second line print one integer m — the number of items in the desired set. In the third line print m distinct integers — numbers of the saved items in the order Polycarp saves them. Items are 1-indexed in the same order in which they appear in the input. If there are several answers, print any of them.


-----Examples-----
Input
3
3 7 4
2 6 5
3 7 6

Output
11
2
2 3 

Input
2
5 6 1
3 3 5

Output
1
1
1 



-----Note-----

In the first example Polycarp will have time to save any two items, but in order to maximize the total value of the saved items, he must save the second and the third item. For example, he can firstly save the third item in 3 seconds, and then save the second item in another 2 seconds. Thus, the total value of the saved items will be 6 + 5 = 11.

In the second example Polycarp can save only the first item, since even if he immediately starts saving the second item, he can save it in 3 seconds, but this item will already be completely burned by this time.

Difficulty: HARD
Tags: Dynamic programming

Sorting
Skill types: Dynamic programming

Sorting

Starter code:

Solutions:
n = int(input())
items = []
max_time = 0
for i in range(1, n + 1):
	(t, d, p) = map(int, input().split())
	max_time = max(max_time, d)
	items.append((t, d, p, i))
items.sort(key=lambda x: x[1])
dp = [[(0, []) for _ in range(n + 1)] for _ in range(max_time + 1)]
for time in range(1, max_time + 1):
	for it in range(1, n + 1):
		if time < items[it - 1][0] or time >= items[it - 1][1]:
			dp[time][it] = max(dp[time][it - 1], dp[time - 1][it])
		else:
			pick = dp[time - items[it - 1][0]][it - 1][0] + items[it - 1][2]
			if dp[time][it - 1][0] > pick:
				dp[time][it] = max(dp[time][it - 1], dp[time - 1][it])
			else:
				dp[time][it] = (dp[time - items[it - 1][0]][it - 1][0] + items[it - 1][2], list(dp[time - items[it - 1][0]][it - 1][1]))
				dp[time][it][1].append(items[it - 1][3])
res = max(dp[max_time])
print(res[0])
print(len(res[1]))
print(*res[1])


from sys import stdin, stdout
T = 2001
INF = int(1000000000.0)
n = int(stdin.readline())
items = []
for i in range(n):
	(c, d, t) = map(int, stdin.readline().split())
	items.append((d, c, t, i + 1))
items.sort()
dp = [[None for i in range(T)] for j in range(n)]

def solve(pos, time):
	if pos >= n or time >= T:
		return 0
	if dp[pos][time] is not None:
		return dp[pos][time]
	(d, c, t, i) = items[pos]
	ans = solve(pos + 1, time)
	if time + c < d:
		ans = max(ans, solve(pos + 1, time + c) + t)
	dp[pos][time] = ans
	return ans
ans = []

def recover(pos, time):
	global ans
	if pos >= n or time >= T:
		return
	(d, c, t, i) = items[pos]
	if solve(pos + 1, time) == solve(pos, time):
		recover(pos + 1, time)
	else:
		ans.append(i)
		recover(pos + 1, time + c)
stdout.write(str(solve(0, 0)) + '\n')
recover(0, 0)
stdout.write(str(len(ans)) + '\n')
for i in ans:
	stdout.write(str(i) + ' ')
stdout.write('\n')


P = [0] * 2001
S = [[] for i in range(2001)]
q = [list(map(int, input().split())) + [str(i + 1)] for i in range(int(input()))]
q.sort(key=lambda q: q[1])
for (t, d, p, i) in q:
	for x in range(t, d)[::-1]:
		if P[x] < P[x - t] + p:
			P[x] = P[x - t] + p
			S[x] = S[x - t] + [i]
k = P.index(max(P))
print('\n'.join([str(P[k]), str(len(S[k])), ' '.join(S[k])]))


import copy
n = int(input())
arr = []
m = 0
for er in range(n):
	temp = list(map(int, input().split(' ')))
	temp.append(er + 1)
	if temp[0] < temp[1]:
		arr.append(temp)
		if temp[1] > m:
			m = temp[1]
	else:
		n -= 1
arr.sort(key=lambda x: x[1])
temp = []
for i in range(n):
	temp.append([0])
com = []
com.append(temp)
total = [0, 0]
for i in range(1, m + 1):
	temp = []
	for j in range(n + 1):
		if j == 0:
			temp.append([0])
		else:
			p = arr[j - 1]
			if p[0] > i or p[1] <= i:
				temp.append(temp[j - 1])
			else:
				te = i - p[0]
				ty = copy.deepcopy(com[te][j - 1])
				ty[0] += p[2]
				ty.append(j)
				if total[0] < ty[0]:
					total = ty
				if temp[j - 1][0] < ty[0]:
					temp.append(ty)
				else:
					temp.append(temp[j - 1])
	com.append(temp)
print(total[0])
if total[0] > 0:
	print(len(total) - 1)
	for i in range(1, len(total)):
		print(arr[total[i] - 1][3], end=' ')
else:
	print('0')


import sys
input = lambda : sys.stdin.readline().rstrip()
sys.setrecursionlimit(2 * 10 ** 5 + 10)
write = lambda x: sys.stdout.write(x + '\n')
debug = lambda x: sys.stderr.write(x + '\n')
writef = lambda x: print('{:.12f}'.format(x))
n = int(input())
tdp = [list(map(int, input().split())) for _ in range(n)]
index = list(range(n))
index.sort(key=lambda i: tdp[i][1])
T = max([item[1] for item in tdp])
dp = [0] * (T + 1)
ps = []
for ind in range(n):
	i = index[ind]
	(t, d, p) = tdp[i]
	ndp = dp[:]
	prv = [(k, -1) for k in range(T + 1)]
	for j in range(T + 1):
		if j + t < d:
			if ndp[j + t] < dp[j] + p:
				ndp[j + t] = dp[j] + p
				prv[j + t] = (j, i)
	dp = ndp
	ps.append(prv)
ans = max(dp)
res = []
for j in range(T + 1)[::-1]:
	if dp[j] == ans:
		for i in range(n)[::-1]:
			(jj, ii) = ps[i][j]
			if ii >= 0:
				res.append(ii + 1)
				j = jj
		break
res = res[::-1]
print(ans)
print(len(res))
write(' '.join(map(str, res)))


from sys import stdin, stdout
n = int(stdin.readline())
items = []
for i in range(n):
	(t, d, p) = map(int, stdin.readline().split())
	items.append((d, p, t, i + 1))
items.sort()
N = 2000 + 1
dp = [0 for i in range(N)]
cur = [[] for i in range(N)]
for (d, p, t, it) in items:
	for i in range(d - 1, t - 1, -1):
		if dp[i - t] + p > dp[i]:
			dp[i] = dp[i - t] + p
			cur[i] = cur[i - t] + [it]
best = 0
for i in range(N):
	if dp[i] > dp[best]:
		best = i
stdout.write('{}\n'.format(dp[best]))
stdout.write('{}\n'.format(len(cur[best])))
stdout.write(' '.join([str(x) for x in cur[best]]) + '\n')


import os
import sys
import re
from collections import OrderedDict
if 'PYCHARM' in os.environ:
	sys.stdin = open('in', 'r')
n = int(input())
things = []
for i in range(n):
	(t, d, p) = list(map(int, input().split()))
	things.append((d, t, p, i + 1))
things.sort()
D = 2001
f = [[0] * D]
w = [[False] * D]
for i in range(n):
	thing = things[i]
	w.append([False] * D)
	f.append(list(f[i]))
	for j in range(D):
		ni = j + thing[1]
		nv = f[i][j] + thing[2]
		if ni < thing[0]:
			if f[i + 1][ni] < nv:
				f[i + 1][ni] = nv
				w[i + 1][ni] = True
ind = 0
for i in range(D):
	if f[n][i] > f[n][ind]:
		ind = i
print(f[n][ind])
ans = []
for i in range(n, 0, -1):
	if w[i][ind]:
		ind -= things[i - 1][1]
		ans.append(things[i - 1][3])
print(len(ans))
print(*reversed(ans))


import os
import sys
import math
from io import BytesIO, IOBase
import io
from fractions import Fraction
import collections
from itertools import permutations
from collections import defaultdict
from collections import deque
from collections import Counter
import threading
BUFSIZE = 8192

class SegmentTree:

	def __init__(self, data, default=0, func=lambda a, b: max(a, b)):
		self._default = default
		self._func = func
		self._len = len(data)
		self._size = _size = 1 << (self._len - 1).bit_length()
		self.data = [default] * (2 * _size)
		self.data[_size:_size + self._len] = data
		for i in reversed(range(_size)):
			self.data[i] = func(self.data[i + i], self.data[i + i + 1])

	def __delitem__(self, idx):
		self[idx] = self._default

	def __getitem__(self, idx):
		return self.data[idx + self._size]

	def __setitem__(self, idx, value):
		idx += self._size
		self.data[idx] = value
		idx >>= 1
		while idx:
			self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1])
			idx >>= 1

	def __len__(self):
		return self._len

	def query(self, start, stop):
		if start == stop:
			return self.__getitem__(start)
		stop += 1
		start += self._size
		stop += self._size
		res = self._default
		while start < stop:
			if start & 1:
				res = self._func(res, self.data[start])
				start += 1
			if stop & 1:
				stop -= 1
				res = self._func(res, self.data[stop])
			start >>= 1
			stop >>= 1
		return res

	def __repr__(self):
		return 'SegmentTree({0})'.format(self.data)

class SegmentTree1:

	def __init__(self, data, default=0, func=lambda a, b: a + b):
		self._default = default
		self._func = func
		self._len = len(data)
		self._size = _size = 1 << (self._len - 1).bit_length()
		self.data = [default] * (2 * _size)
		self.data[_size:_size + self._len] = data
		for i in reversed(range(_size)):
			self.data[i] = func(self.data[i + i], self.data[i + i + 1])

	def __delitem__(self, idx):
		self[idx] = self._default

	def __getitem__(self, idx):
		return self.data[idx + self._size]

	def __setitem__(self, idx, value):
		idx += self._size
		self.data[idx] = value
		idx >>= 1
		while idx:
			self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1])
			idx >>= 1

	def __len__(self):
		return self._len

	def query(self, start, stop):
		if start == stop:
			return self.__getitem__(start)
		stop += 1
		start += self._size
		stop += self._size
		res = self._default
		while start < stop:
			if start & 1:
				res = self._func(res, self.data[start])
				start += 1
			if stop & 1:
				stop -= 1
				res = self._func(res, self.data[stop])
			start >>= 1
			stop >>= 1
		return res

	def __repr__(self):
		return 'SegmentTree({0})'.format(self.data)
MOD = 10 ** 9 + 7

class Factorial:

	def __init__(self, MOD):
		self.MOD = MOD
		self.factorials = [1, 1]
		self.invModulos = [0, 1]
		self.invFactorial_ = [1, 1]

	def calc(self, n):
		if n <= -1:
			print('Invalid argument to calculate n!')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		if n < len(self.factorials):
			return self.factorials[n]
		nextArr = [0] * (n + 1 - len(self.factorials))
		initialI = len(self.factorials)
		prev = self.factorials[-1]
		m = self.MOD
		for i in range(initialI, n + 1):
			prev = nextArr[i - initialI] = prev * i % m
		self.factorials += nextArr
		return self.factorials[n]

	def inv(self, n):
		if n <= -1:
			print('Invalid argument to calculate n^(-1)')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		p = self.MOD
		pi = n % p
		if pi < len(self.invModulos):
			return self.invModulos[pi]
		nextArr = [0] * (n + 1 - len(self.invModulos))
		initialI = len(self.invModulos)
		for i in range(initialI, min(p, n + 1)):
			next = -self.invModulos[p % i] * (p // i) % p
			self.invModulos.append(next)
		return self.invModulos[pi]

	def invFactorial(self, n):
		if n <= -1:
			print('Invalid argument to calculate (n^(-1))!')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		if n < len(self.invFactorial_):
			return self.invFactorial_[n]
		self.inv(n)
		nextArr = [0] * (n + 1 - len(self.invFactorial_))
		initialI = len(self.invFactorial_)
		prev = self.invFactorial_[-1]
		p = self.MOD
		for i in range(initialI, n + 1):
			prev = nextArr[i - initialI] = prev * self.invModulos[i % p] % p
		self.invFactorial_ += nextArr
		return self.invFactorial_[n]

class Combination:

	def __init__(self, MOD):
		self.MOD = MOD
		self.factorial = Factorial(MOD)

	def ncr(self, n, k):
		if k < 0 or n < k:
			return 0
		k = min(k, n - k)
		f = self.factorial
		return f.calc(n) * f.invFactorial(max(n - k, k)) * f.invFactorial(min(k, n - k)) % self.MOD
mod = 10 ** 9 + 7
omod = 998244353
prime = [True for i in range(10001)]
prime[0] = prime[1] = False

def SieveOfEratosthenes(n=10000):
	p = 2
	c = 0
	while p <= n:
		if prime[p] == True:
			c += 1
			for i in range(p, n + 1, p):
				prime[i] = False
		p += 1

class DSU:

	def __init__(self, R, C):
		self.par = range(R * C + 1)
		self.rnk = [0] * (R * C + 1)
		self.sz = [1] * (R * C + 1)

	def find(self, x):
		if self.par[x] != x:
			self.par[x] = self.find(self.par[x])
		return self.par[x]

	def union(self, x, y):
		(xr, yr) = (self.find(x), self.find(y))
		if xr == yr:
			return
		if self.rnk[xr] < self.rnk[yr]:
			(xr, yr) = (yr, xr)
		if self.rnk[xr] == self.rnk[yr]:
			self.rnk[xr] += 1
		self.par[yr] = xr
		self.sz[xr] += self.sz[yr]

	def size(self, x):
		return self.sz[self.find(x)]

	def top(self):
		return self.size(len(self.sz) - 1) - 1

class LazySegTree:

	def __init__(self, _op, _e, _mapping, _composition, _id, v):

		def set(p, x):
			assert 0 <= p < _n
			p += _size
			for i in range(_log, 0, -1):
				_push(p >> i)
			_d[p] = x
			for i in range(1, _log + 1):
				_update(p >> i)

		def get(p):
			assert 0 <= p < _n
			p += _size
			for i in range(_log, 0, -1):
				_push(p >> i)
			return _d[p]

		def prod(l, r):
			assert 0 <= l <= r <= _n
			if l == r:
				return _e
			l += _size
			r += _size
			for i in range(_log, 0, -1):
				if l >> i << i != l:
					_push(l >> i)
				if r >> i << i != r:
					_push(r >> i)
			sml = _e
			smr = _e
			while l < r:
				if l & 1:
					sml = _op(sml, _d[l])
					l += 1
				if r & 1:
					r -= 1
					smr = _op(_d[r], smr)
				l >>= 1
				r >>= 1
			return _op(sml, smr)

		def apply(l, r, f):
			assert 0 <= l <= r <= _n
			if l == r:
				return
			l += _size
			r += _size
			for i in range(_log, 0, -1):
				if l >> i << i != l:
					_push(l >> i)
				if r >> i << i != r:
					_push(r - 1 >> i)
			l2 = l
			r2 = r
			while l < r:
				if l & 1:
					_all_apply(l, f)
					l += 1
				if r & 1:
					r -= 1
					_all_apply(r, f)
				l >>= 1
				r >>= 1
			l = l2
			r = r2
			for i in range(1, _log + 1):
				if l >> i << i != l:
					_update(l >> i)
				if r >> i << i != r:
					_update(r - 1 >> i)

		def _update(k):
			_d[k] = _op(_d[2 * k], _d[2 * k + 1])

		def _all_apply(k, f):
			_d[k] = _mapping(f, _d[k])
			if k < _size:
				_lz[k] = _composition(f, _lz[k])

		def _push(k):
			_all_apply(2 * k, _lz[k])
			_all_apply(2 * k + 1, _lz[k])
			_lz[k] = _id
		_n = len(v)
		_log = _n.bit_length()
		_size = 1 << _log
		_d = [_e] * (2 * _size)
		_lz = [_id] * _size
		for i in range(_n):
			_d[_size + i] = v[i]
		for i in range(_size - 1, 0, -1):
			_update(i)
		self.set = set
		self.get = get
		self.prod = prod
		self.apply = apply
MIL = 1 << 20

def makeNode(total, count):
	return total * MIL + count

def getTotal(node):
	return math.floor(node / MIL)

def getCount(node):
	return node - getTotal(node) * MIL
nodeIdentity = makeNode(0.0, 0.0)

def nodeOp(node1, node2):
	return node1 + node2
	return makeNode(getTotal(node1) + getTotal(node2), getCount(node1) + getCount(node2))
identityMapping = -1

def mapping(tag, node):
	if tag == identityMapping:
		return node
	count = getCount(node)
	return makeNode(tag * count, count)

def composition(mapping1, mapping2):
	return mapping1 if mapping1 != identityMapping else mapping2

def memodict(f):

	class memodict(dict):

		def __missing__(self, key):
			ret = self[key] = f(key)
			return ret
	return memodict().__getitem__

def pollard_rho(n):
	if n & 1 == 0:
		return 2
	if n % 3 == 0:
		return 3
	s = (n - 1 & 1 - n).bit_length() - 1
	d = n >> s
	for a in [2, 325, 9375, 28178, 450775, 9780504, 1795265022]:
		p = pow(a, d, n)
		if p == 1 or p == n - 1 or a % n == 0:
			continue
		for _ in range(s):
			prev = p
			p = p * p % n
			if p == 1:
				return math.gcd(prev - 1, n)
			if p == n - 1:
				break
		else:
			for i in range(2, n):
				(x, y) = (i, (i * i + 1) % n)
				f = math.gcd(abs(x - y), n)
				while f == 1:
					(x, y) = ((x * x + 1) % n, (y * y + 1) % n)
					y = (y * y + 1) % n
					f = math.gcd(abs(x - y), n)
				if f != n:
					return f
	return n

@memodict
def prime_factors(n):
	if n <= 1:
		return Counter()
	f = pollard_rho(n)
	return Counter([n]) if f == n else prime_factors(f) + prime_factors(n // f)

def distinct_factors(n):
	factors = [1]
	for (p, exp) in prime_factors(n).items():
		factors += [p ** i * factor for factor in factors for i in range(1, exp + 1)]
	return factors

def all_factors(n):
	(small, large) = ([], [])
	for i in range(1, int(n ** 0.5) + 1, 2 if n & 1 else 1):
		if not n % i:
			small.append(i)
			large.append(n // i)
	if small[-1] == large[-1]:
		large.pop()
	large.reverse()
	small.extend(large)
	return small

def binarySearch(arr, n, i, key):
	left = 0
	right = n - 1
	mid = 0
	res = n
	while left <= right:
		mid = (right + left) // 2
		if arr[mid][i] > key:
			res = mid
			right = mid - 1
		else:
			left = mid + 1
	return res

def binarySearch1(arr, n, i, key):
	left = 0
	right = n - 1
	mid = 0
	res = -1
	while left <= right:
		mid = (right + left) // 2
		if arr[mid][i] > key:
			right = mid - 1
		else:
			res = mid
			left = mid + 1
	return res
import os
import sys
import math
from io import BytesIO, IOBase
import io
from fractions import Fraction
import collections
from itertools import permutations
from collections import defaultdict
from collections import deque
from collections import Counter
import threading
BUFSIZE = 8192

class FastIO(IOBase):
	newlines = 0

	def __init__(self, file):
		self._fd = file.fileno()
		self.buffer = BytesIO()
		self.writable = 'x' in file.mode or 'r' not in file.mode
		self.write = self.buffer.write if self.writable else None

	def read(self):
		while True:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			if not b:
				break
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines = 0
		return self.buffer.read()

	def readline(self):
		while self.newlines == 0:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			self.newlines = b.count(b'\n') + (not b)
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines -= 1
		return self.buffer.readline()

	def flush(self):
		if self.writable:
			os.write(self._fd, self.buffer.getvalue())
			(self.buffer.truncate(0), self.buffer.seek(0))

class IOWrapper(IOBase):

	def __init__(self, file):
		self.buffer = FastIO(file)
		self.flush = self.buffer.flush
		self.writable = self.buffer.writable
		self.write = lambda s: self.buffer.write(s.encode('ascii'))
		self.read = lambda : self.buffer.read().decode('ascii')
		self.readline = lambda : self.buffer.readline().decode('ascii')
(sys.stdin, sys.stdout) = (IOWrapper(sys.stdin), IOWrapper(sys.stdout))
input = lambda : sys.stdin.readline().rstrip('\r\n')

class SegmentTree:

	def __init__(self, data, default=0, func=lambda a, b: max(a, b)):
		self._default = default
		self._func = func
		self._len = len(data)
		self._size = _size = 1 << (self._len - 1).bit_length()
		self.data = [default] * (2 * _size)
		self.data[_size:_size + self._len] = data
		for i in reversed(range(_size)):
			self.data[i] = func(self.data[i + i], self.data[i + i + 1])

	def __delitem__(self, idx):
		self[idx] = self._default

	def __getitem__(self, idx):
		return self.data[idx + self._size]

	def __setitem__(self, idx, value):
		idx += self._size
		self.data[idx] = value
		idx >>= 1
		while idx:
			self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1])
			idx >>= 1

	def __len__(self):
		return self._len

	def query(self, start, stop):
		if start == stop:
			return self.__getitem__(start)
		stop += 1
		start += self._size
		stop += self._size
		res = self._default
		while start < stop:
			if start & 1:
				res = self._func(res, self.data[start])
				start += 1
			if stop & 1:
				stop -= 1
				res = self._func(res, self.data[stop])
			start >>= 1
			stop >>= 1
		return res

	def __repr__(self):
		return 'SegmentTree({0})'.format(self.data)

class SegmentTree1:

	def __init__(self, data, default=0, func=lambda a, b: a + b):
		self._default = default
		self._func = func
		self._len = len(data)
		self._size = _size = 1 << (self._len - 1).bit_length()
		self.data = [default] * (2 * _size)
		self.data[_size:_size + self._len] = data
		for i in reversed(range(_size)):
			self.data[i] = func(self.data[i + i], self.data[i + i + 1])

	def __delitem__(self, idx):
		self[idx] = self._default

	def __getitem__(self, idx):
		return self.data[idx + self._size]

	def __setitem__(self, idx, value):
		idx += self._size
		self.data[idx] = value
		idx >>= 1
		while idx:
			self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1])
			idx >>= 1

	def __len__(self):
		return self._len

	def query(self, start, stop):
		if start == stop:
			return self.__getitem__(start)
		stop += 1
		start += self._size
		stop += self._size
		res = self._default
		while start < stop:
			if start & 1:
				res = self._func(res, self.data[start])
				start += 1
			if stop & 1:
				stop -= 1
				res = self._func(res, self.data[stop])
			start >>= 1
			stop >>= 1
		return res

	def __repr__(self):
		return 'SegmentTree({0})'.format(self.data)
MOD = 10 ** 9 + 7

class Factorial:

	def __init__(self, MOD):
		self.MOD = MOD
		self.factorials = [1, 1]
		self.invModulos = [0, 1]
		self.invFactorial_ = [1, 1]

	def calc(self, n):
		if n <= -1:
			print('Invalid argument to calculate n!')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		if n < len(self.factorials):
			return self.factorials[n]
		nextArr = [0] * (n + 1 - len(self.factorials))
		initialI = len(self.factorials)
		prev = self.factorials[-1]
		m = self.MOD
		for i in range(initialI, n + 1):
			prev = nextArr[i - initialI] = prev * i % m
		self.factorials += nextArr
		return self.factorials[n]

	def inv(self, n):
		if n <= -1:
			print('Invalid argument to calculate n^(-1)')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		p = self.MOD
		pi = n % p
		if pi < len(self.invModulos):
			return self.invModulos[pi]
		nextArr = [0] * (n + 1 - len(self.invModulos))
		initialI = len(self.invModulos)
		for i in range(initialI, min(p, n + 1)):
			next = -self.invModulos[p % i] * (p // i) % p
			self.invModulos.append(next)
		return self.invModulos[pi]

	def invFactorial(self, n):
		if n <= -1:
			print('Invalid argument to calculate (n^(-1))!')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		if n < len(self.invFactorial_):
			return self.invFactorial_[n]
		self.inv(n)
		nextArr = [0] * (n + 1 - len(self.invFactorial_))
		initialI = len(self.invFactorial_)
		prev = self.invFactorial_[-1]
		p = self.MOD
		for i in range(initialI, n + 1):
			prev = nextArr[i - initialI] = prev * self.invModulos[i % p] % p
		self.invFactorial_ += nextArr
		return self.invFactorial_[n]

class Combination:

	def __init__(self, MOD):
		self.MOD = MOD
		self.factorial = Factorial(MOD)

	def ncr(self, n, k):
		if k < 0 or n < k:
			return 0
		k = min(k, n - k)
		f = self.factorial
		return f.calc(n) * f.invFactorial(max(n - k, k)) * f.invFactorial(min(k, n - k)) % self.MOD
mod = 10 ** 9 + 7
omod = 998244353
prime = [True for i in range(10001)]
prime[0] = prime[1] = False

def SieveOfEratosthenes(n=10000):
	p = 2
	c = 0
	while p <= n:
		if prime[p] == True:
			c += 1
			for i in range(p, n + 1, p):
				prime[i] = False
		p += 1

class DSU:

	def __init__(self, R, C):
		self.par = range(R * C + 1)
		self.rnk = [0] * (R * C + 1)
		self.sz = [1] * (R * C + 1)

	def find(self, x):
		if self.par[x] != x:
			self.par[x] = self.find(self.par[x])
		return self.par[x]

	def union(self, x, y):
		(xr, yr) = (self.find(x), self.find(y))
		if xr == yr:
			return
		if self.rnk[xr] < self.rnk[yr]:
			(xr, yr) = (yr, xr)
		if self.rnk[xr] == self.rnk[yr]:
			self.rnk[xr] += 1
		self.par[yr] = xr
		self.sz[xr] += self.sz[yr]

	def size(self, x):
		return self.sz[self.find(x)]

	def top(self):
		return self.size(len(self.sz) - 1) - 1

class LazySegTree:

	def __init__(self, _op, _e, _mapping, _composition, _id, v):

		def set(p, x):
			assert 0 <= p < _n
			p += _size
			for i in range(_log, 0, -1):
				_push(p >> i)
			_d[p] = x
			for i in range(1, _log + 1):
				_update(p >> i)

		def get(p):
			assert 0 <= p < _n
			p += _size
			for i in range(_log, 0, -1):
				_push(p >> i)
			return _d[p]

		def prod(l, r):
			assert 0 <= l <= r <= _n
			if l == r:
				return _e
			l += _size
			r += _size
			for i in range(_log, 0, -1):
				if l >> i << i != l:
					_push(l >> i)
				if r >> i << i != r:
					_push(r >> i)
			sml = _e
			smr = _e
			while l < r:
				if l & 1:
					sml = _op(sml, _d[l])
					l += 1
				if r & 1:
					r -= 1
					smr = _op(_d[r], smr)
				l >>= 1
				r >>= 1
			return _op(sml, smr)

		def apply(l, r, f):
			assert 0 <= l <= r <= _n
			if l == r:
				return
			l += _size
			r += _size
			for i in range(_log, 0, -1):
				if l >> i << i != l:
					_push(l >> i)
				if r >> i << i != r:
					_push(r - 1 >> i)
			l2 = l
			r2 = r
			while l < r:
				if l & 1:
					_all_apply(l, f)
					l += 1
				if r & 1:
					r -= 1
					_all_apply(r, f)
				l >>= 1
				r >>= 1
			l = l2
			r = r2
			for i in range(1, _log + 1):
				if l >> i << i != l:
					_update(l >> i)
				if r >> i << i != r:
					_update(r - 1 >> i)

		def _update(k):
			_d[k] = _op(_d[2 * k], _d[2 * k + 1])

		def _all_apply(k, f):
			_d[k] = _mapping(f, _d[k])
			if k < _size:
				_lz[k] = _composition(f, _lz[k])

		def _push(k):
			_all_apply(2 * k, _lz[k])
			_all_apply(2 * k + 1, _lz[k])
			_lz[k] = _id
		_n = len(v)
		_log = _n.bit_length()
		_size = 1 << _log
		_d = [_e] * (2 * _size)
		_lz = [_id] * _size
		for i in range(_n):
			_d[_size + i] = v[i]
		for i in range(_size - 1, 0, -1):
			_update(i)
		self.set = set
		self.get = get
		self.prod = prod
		self.apply = apply
MIL = 1 << 20

def makeNode(total, count):
	return total * MIL + count

def getTotal(node):
	return math.floor(node / MIL)

def getCount(node):
	return node - getTotal(node) * MIL
nodeIdentity = makeNode(0.0, 0.0)

def nodeOp(node1, node2):
	return node1 + node2
	return makeNode(getTotal(node1) + getTotal(node2), getCount(node1) + getCount(node2))
identityMapping = -1

def mapping(tag, node):
	if tag == identityMapping:
		return node
	count = getCount(node)
	return makeNode(tag * count, count)

def composition(mapping1, mapping2):
	return mapping1 if mapping1 != identityMapping else mapping2

def memodict(f):

	class memodict(dict):

		def __missing__(self, key):
			ret = self[key] = f(key)
			return ret
	return memodict().__getitem__

def pollard_rho(n):
	if n & 1 == 0:
		return 2
	if n % 3 == 0:
		return 3
	s = (n - 1 & 1 - n).bit_length() - 1
	d = n >> s
	for a in [2, 325, 9375, 28178, 450775, 9780504, 1795265022]:
		p = pow(a, d, n)
		if p == 1 or p == n - 1 or a % n == 0:
			continue
		for _ in range(s):
			prev = p
			p = p * p % n
			if p == 1:
				return math.gcd(prev - 1, n)
			if p == n - 1:
				break
		else:
			for i in range(2, n):
				(x, y) = (i, (i * i + 1) % n)
				f = math.gcd(abs(x - y), n)
				while f == 1:
					(x, y) = ((x * x + 1) % n, (y * y + 1) % n)
					y = (y * y + 1) % n
					f = math.gcd(abs(x - y), n)
				if f != n:
					return f
	return n

@memodict
def prime_factors(n):
	if n <= 1:
		return Counter()
	f = pollard_rho(n)
	return Counter([n]) if f == n else prime_factors(f) + prime_factors(n // f)

def distinct_factors(n):
	factors = [1]
	for (p, exp) in prime_factors(n).items():
		factors += [p ** i * factor for factor in factors for i in range(1, exp + 1)]
	return factors

def all_factors(n):
	(small, large) = ([], [])
	for i in range(1, int(n ** 0.5) + 1, 2 if n & 1 else 1):
		if not n % i:
			small.append(i)
			large.append(n // i)
	if small[-1] == large[-1]:
		large.pop()
	large.reverse()
	small.extend(large)
	return small

def binarySearch(arr, n, i, key):
	left = 0
	right = n - 1
	mid = 0
	res = n
	while left <= right:
		mid = (right + left) // 2
		if arr[mid][i] > key:
			res = mid
			right = mid - 1
		else:
			left = mid + 1
	return res

def binarySearch1(arr, n, i, key):
	left = 0
	right = n - 1
	mid = 0
	res = -1
	while left <= right:
		mid = (right + left) // 2
		if arr[mid][i] > key:
			right = mid - 1
		else:
			res = mid
			left = mid + 1
	return res
t = 1
for _ in range(t):
	n = int(input())
	a = []
	m = 0
	for i in range(n):
		(tm, d, p) = map(int, input().split())
		a.append([d, tm, p, i + 1])
		m = max(m, d)
	a.sort()
	dp = [0] * (m + 1)
	result = [set()] * (m + 1)
	for i in range(n):
		for j in range(a[i][0] - 1, a[i][1] - 1, -1):
			curr = dp[j - a[i][1]] + a[i][2]
			if curr > dp[j]:
				dp[j] = curr
				result[j] = result[j - a[i][1]].copy()
				result[j].add(a[i][3])
	mx = max(dp)
	ans = None
	for i in range(m + 1):
		if dp[i] == mx:
			ans = result[i]
	print(mx)
	print(len(ans))
	print(*ans)


n = int(input())
a = []
for i in range(n):
	(t, d, p) = map(int, input().split())
	a.append([t, d, p, i + 1])
a.sort(key=lambda x: x[1])
d = {0: [0, []]}
for i in a:
	e = {}
	for j in d:
		if d[j][0] + i[0] < i[1]:
			if j + i[2] in d:
				if d[j][0] + i[0] < d[j + i[2]][0]:
					e[j + i[2]] = [d[j][0] + i[0], d[j][1] + [i[3]]]
			else:
				e[j + i[2]] = [d[j][0] + i[0], d[j][1] + [i[3]]]
	d.update(e)
t = max(d)
print(t)
k = d[t][1]
print(len(k))
k = list(map(str, k))
print(' '.join(k))


from functools import lru_cache

def readints():
	return [int(obj) for obj in input().strip().split()]

class Solver:

	def main(self):
		n = readints()[0]
		(self.t, self.d, self.p) = ([], [], [])
		for i in range(n):
			(t1, d1, p1) = readints()
			self.t.append(t1)
			self.d.append(d1)
			self.p.append(p1)
		self.backtrack = []
		sd = max(self.d) + 1
		for i in range(n + 1):
			self.backtrack.append([])
			for j in range(sd):
				self.backtrack[i].append(0)
		triples = zip(self.t, self.d, self.p, range(1, n + 1))
		triples = sorted(triples, key=lambda x: x[1])
		(self.t, self.d, self.p, self.indexes) = ([0], [0], [0], [])
		for i in range(n):
			self.t.append(triples[i][0])
			self.d.append(triples[i][1])
			self.p.append(triples[i][2])
			self.indexes.append(triples[i][3])
		self.f = []
		for i in range(n + 1):
			self.f.append([])
			for j in range(sd):
				self.f[i].append(0)
		for i in range(1, n + 1):
			for d in range(sd):
				if d - self.t[i] >= 0 and d < self.d[i] and (self.t[i] < self.d[i]):
					data = self.f[i - 1][d - self.t[i]]
					if data + self.p[i] > self.f[i][d]:
						self.f[i][d] = data + self.p[i]
						self.backtrack[i][d] = i
				data = self.f[i - 1][d]
				if data > self.f[i][d]:
					self.f[i][d] = data
					self.backtrack[i][d] = 0
		ans = 0
		res = []
		best = None
		for i in range(sd):
			data = self.f[n][i]
			if data > ans:
				ans = data
				best = (n, i)
		if best is None:
			print('0\n0\n')
			return
		i = best[0]
		s = best[1]
		while i > 0:
			if self.backtrack[i][s] != 0:
				res.append(self.backtrack[i][s])
				s -= self.t[self.backtrack[i][s]]
			i -= 1
		print(ans)
		print(len(res))
		print(' '.join((str(self.indexes[item - 1]) for item in reversed(res))))
Solver().main()


import math
import collections
import bisect
import heapq
import time
import random
N = int(input())
M = []
for i in range(N):
	M.append([int(x) for x in input().split()])
MA = []
for (i, row) in enumerate(M):
	(t, d, p) = row
	MA.append((d, p, t, i + 1))
M = sorted(MA)
T = [0] + [x[2] for x in M]
D = [0] + [x[0] for x in M]
P = [0] + [x[1] for x in M]
I = [0] + [x[3] for x in M]
dmax = max(D)
dp = [[0 for _ in range(N + 1)] for _ in range(dmax)]
track = [[0 for _ in range(N + 1)] for _ in range(dmax)]
for t in range(dmax):
	for i in range(1, N + 1):
		ti = t - T[i]
		if T[i] <= t < D[i] and ti >= 0:
			dp[t][i] = max(dp[t][i - 1], dp[ti][i - 1] + P[i])
			if dp[t][i - 1] > dp[ti][i - 1] + P[i]:
				track[t][i] = (t, i - 1, -1)
			else:
				track[t][i] = (ti, i - 1, i)
		else:
			dp[t][i] = dp[t][i - 1]
			track[t][i] = (t, i - 1, -1)
saved = 0
(t, i, j) = (0, N, -1)
for j in range(dmax):
	if dp[j][N] > saved:
		saved = dp[j][N]
		t = j
print(saved)
res = []
while t > 0 and i > 0:
	(t, i, j) = track[t][i]
	if j > 0:
		res.append(I[j])
print(len(res))
print(' '.join([str(x) for x in reversed(res)]))


from sys import stdin
n = int(stdin.readline())
items = []
for i in range(n):
	(t, d, p) = [int(x) for x in stdin.readline().split()]
	items.append((d, t, p, i))
items.sort()
mem = [{} for x in range(n)]
mem2 = [{} for x in range(n)]

def best(time, x):
	time += items[x][1]
	if time in mem[x]:
		return mem[x][time]
	if time >= items[x][0]:
		mem[x][time] = 0
		mem2[x][time] = -1
		return 0
	top = 0
	top2 = -1
	for i in range(x + 1, n):
		temp = best(time, i)
		if temp > top:
			top = temp
			top2 = i
	mem[x][time] = top + items[x][2]
	mem2[x][time] = top2
	return mem[x][time]
top = -1
l = []
for x in range(n):
	b = best(0, x)
	if b > top:
		top = b
		l = []
		c = x
		time = 0
		while c != -1:
			time += items[c][1]
			l.append(items[c][3])
			if time in mem2[c]:
				c = mem2[c][time]
			else:
				c = -1
print(top)
if top != 0:
	print(len(l))
	print(' '.join([str(x + 1) for x in l]))
else:
	print(0)
	print()


import math
import heapq, bisect
import sys
from collections import deque, defaultdict
from fractions import Fraction
import sys
mod = 10 ** 9 + 7
mod1 = 998244353
import os
import sys
from io import BytesIO, IOBase
BUFSIZE = 8192
sys.setrecursionlimit(300000)

class FastIO(IOBase):
	newlines = 0

	def __init__(self, file):
		self._fd = file.fileno()
		self.buffer = BytesIO()
		self.writable = 'x' in file.mode or 'r' not in file.mode
		self.write = self.buffer.write if self.writable else None

	def read(self):
		while True:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			if not b:
				break
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines = 0
		return self.buffer.read()

	def readline(self):
		while self.newlines == 0:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			self.newlines = b.count(b'\n') + (not b)
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines -= 1
		return self.buffer.readline()

	def flush(self):
		if self.writable:
			os.write(self._fd, self.buffer.getvalue())
			(self.buffer.truncate(0), self.buffer.seek(0))

class IOWrapper(IOBase):

	def __init__(self, file):
		self.buffer = FastIO(file)
		self.flush = self.buffer.flush
		self.writable = self.buffer.writable
		self.write = lambda s: self.buffer.write(s.encode('ascii'))
		self.read = lambda : self.buffer.read().decode('ascii')
		self.readline = lambda : self.buffer.readline().decode('ascii')
(sys.stdin, sys.stdout) = (IOWrapper(sys.stdin), IOWrapper(sys.stdout))
input = lambda : sys.stdin.readline().rstrip('\r\n')

class TreeNode:

	def __init__(self, k, v):
		self.key = k
		self.value = v
		self.left = None
		self.right = None
		self.parent = None
		self.height = 1
		self.num_left = 1
		self.num_total = 1

class AvlTree:

	def __init__(self):
		self._tree = None

	def add(self, k, v):
		if not self._tree:
			self._tree = TreeNode(k, v)
			return
		node = self._add(k, v)
		if node:
			self._rebalance(node)

	def _add(self, k, v):
		node = self._tree
		while node:
			if k < node.key:
				if node.left:
					node = node.left
				else:
					node.left = TreeNode(k, v)
					node.left.parent = node
					return node.left
			elif node.key < k:
				if node.right:
					node = node.right
				else:
					node.right = TreeNode(k, v)
					node.right.parent = node
					return node.right
			else:
				node.value = v
				return

	@staticmethod
	def get_height(x):
		return x.height if x else 0

	@staticmethod
	def get_num_total(x):
		return x.num_total if x else 0

	def _rebalance(self, node):
		n = node
		while n:
			lh = self.get_height(n.left)
			rh = self.get_height(n.right)
			n.height = max(lh, rh) + 1
			balance_factor = lh - rh
			n.num_total = 1 + self.get_num_total(n.left) + self.get_num_total(n.right)
			n.num_left = 1 + self.get_num_total(n.left)
			if balance_factor > 1:
				if self.get_height(n.left.left) < self.get_height(n.left.right):
					self._rotate_left(n.left)
				self._rotate_right(n)
			elif balance_factor < -1:
				if self.get_height(n.right.right) < self.get_height(n.right.left):
					self._rotate_right(n.right)
				self._rotate_left(n)
			else:
				n = n.parent

	def _remove_one(self, node):
		replacement = node.left or node.right
		if node.parent:
			if AvlTree._is_left(node):
				node.parent.left = replacement
			else:
				node.parent.right = replacement
			replacement.parent = node.parent
			node.parent = None
		else:
			self._tree = replacement
			replacement.parent = None
		node.left = None
		node.right = None
		node.parent = None
		self._rebalance(replacement)

	def _remove_leaf(self, node):
		if node.parent:
			if AvlTree._is_left(node):
				node.parent.left = None
			else:
				node.parent.right = None
			self._rebalance(node.parent)
		else:
			self._tree = None
		node.parent = None
		node.left = None
		node.right = None

	def remove(self, k):
		node = self._get_node(k)
		if not node:
			return
		if AvlTree._is_leaf(node):
			self._remove_leaf(node)
			return
		if node.left and node.right:
			nxt = AvlTree._get_next(node)
			node.key = nxt.key
			node.value = nxt.value
			if self._is_leaf(nxt):
				self._remove_leaf(nxt)
			else:
				self._remove_one(nxt)
			self._rebalance(node)
		else:
			self._remove_one(node)

	def get(self, k):
		node = self._get_node(k)
		return node.value if node else -1

	def _get_node(self, k):
		if not self._tree:
			return None
		node = self._tree
		while node:
			if k < node.key:
				node = node.left
			elif node.key < k:
				node = node.right
			else:
				return node
		return None

	def get_at(self, pos):
		x = pos + 1
		node = self._tree
		while node:
			if x < node.num_left:
				node = node.left
			elif node.num_left < x:
				x -= node.num_left
				node = node.right
			else:
				return (node.key, node.value)
		raise IndexError('Out of ranges')

	@staticmethod
	def _is_left(node):
		return node.parent.left and node.parent.left == node

	@staticmethod
	def _is_leaf(node):
		return node.left is None and node.right is None

	def _rotate_right(self, node):
		if not node.parent:
			self._tree = node.left
			node.left.parent = None
		elif AvlTree._is_left(node):
			node.parent.left = node.left
			node.left.parent = node.parent
		else:
			node.parent.right = node.left
			node.left.parent = node.parent
		bk = node.left.right
		node.left.right = node
		node.parent = node.left
		node.left = bk
		if bk:
			bk.parent = node
		node.height = max(self.get_height(node.left), self.get_height(node.right)) + 1
		node.num_total = 1 + self.get_num_total(node.left) + self.get_num_total(node.right)
		node.num_left = 1 + self.get_num_total(node.left)

	def _rotate_left(self, node):
		if not node.parent:
			self._tree = node.right
			node.right.parent = None
		elif AvlTree._is_left(node):
			node.parent.left = node.right
			node.right.parent = node.parent
		else:
			node.parent.right = node.right
			node.right.parent = node.parent
		bk = node.right.left
		node.right.left = node
		node.parent = node.right
		node.right = bk
		if bk:
			bk.parent = node
		node.height = max(self.get_height(node.left), self.get_height(node.right)) + 1
		node.num_total = 1 + self.get_num_total(node.left) + self.get_num_total(node.right)
		node.num_left = 1 + self.get_num_total(node.left)

	@staticmethod
	def _get_next(node):
		if not node.right:
			return node.parent
		n = node.right
		while n.left:
			n = n.left
		return n

class SegmentTree1:

	def __init__(self, data, default=0, func=lambda a, b: max(a, b)):
		self._default = default
		self._func = func
		self._len = len(data)
		self._size = _size = 1 << (self._len - 1).bit_length()
		self.data = [default] * (2 * _size)
		self.data[_size:_size + self._len] = data
		for i in reversed(range(_size)):
			self.data[i] = func(self.data[i + i], self.data[i + i + 1])

	def __delitem__(self, idx):
		self[idx] = self._default

	def __getitem__(self, idx):
		return self.data[idx + self._size]

	def __setitem__(self, idx, value):
		idx += self._size
		self.data[idx] = value
		idx >>= 1
		while idx:
			self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1])
			idx >>= 1

	def __len__(self):
		return self._len

	def query(self, start, stop):
		if start == stop:
			return self.__getitem__(start)
		stop += 1
		start += self._size
		stop += self._size
		res = self._default
		while start < stop:
			if start & 1:
				res = self._func(res, self.data[start])
				start += 1
			if stop & 1:
				stop -= 1
				res = self._func(res, self.data[stop])
			start >>= 1
			stop >>= 1
		return res

	def __repr__(self):
		return 'SegmentTree({0})'.format(self.data)

class SegmentTree:

	def __init__(self, data, default=0, func=lambda a, b: a + b):
		self._default = default
		self._func = func
		self._len = len(data)
		self._size = _size = 1 << (self._len - 1).bit_length()
		self.data = [default] * (2 * _size)
		self.data[_size:_size + self._len] = data
		for i in reversed(range(_size)):
			self.data[i] = func(self.data[i + i], self.data[i + i + 1])

	def __delitem__(self, idx):
		self[idx] = self._default

	def __getitem__(self, idx):
		return self.data[idx + self._size]

	def __setitem__(self, idx, value):
		idx += self._size
		self.data[idx] = value
		idx >>= 1
		while idx:
			self.data[idx] = self._func(self.data[2 * idx], self.data[2 * idx + 1])
			idx >>= 1

	def __len__(self):
		return self._len

	def query(self, start, stop):
		if start == stop:
			return self.__getitem__(start)
		stop += 1
		start += self._size
		stop += self._size
		res = self._default
		while start < stop:
			if start & 1:
				res = self._func(res, self.data[start])
				start += 1
			if stop & 1:
				stop -= 1
				res = self._func(res, self.data[stop])
			start >>= 1
			stop >>= 1
		return res

	def __repr__(self):
		return 'SegmentTree({0})'.format(self.data)

class Factorial:

	def __init__(self, MOD):
		self.MOD = MOD
		self.factorials = [1, 1]
		self.invModulos = [0, 1]
		self.invFactorial_ = [1, 1]

	def calc(self, n):
		if n <= -1:
			print('Invalid argument to calculate n!')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		if n < len(self.factorials):
			return self.factorials[n]
		nextArr = [0] * (n + 1 - len(self.factorials))
		initialI = len(self.factorials)
		prev = self.factorials[-1]
		m = self.MOD
		for i in range(initialI, n + 1):
			prev = nextArr[i - initialI] = prev * i % m
		self.factorials += nextArr
		return self.factorials[n]

	def inv(self, n):
		if n <= -1:
			print('Invalid argument to calculate n^(-1)')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		p = self.MOD
		pi = n % p
		if pi < len(self.invModulos):
			return self.invModulos[pi]
		nextArr = [0] * (n + 1 - len(self.invModulos))
		initialI = len(self.invModulos)
		for i in range(initialI, min(p, n + 1)):
			next = -self.invModulos[p % i] * (p // i) % p
			self.invModulos.append(next)
		return self.invModulos[pi]

	def invFactorial(self, n):
		if n <= -1:
			print('Invalid argument to calculate (n^(-1))!')
			print('n must be non-negative value. But the argument was ' + str(n))
			exit()
		if n < len(self.invFactorial_):
			return self.invFactorial_[n]
		self.inv(n)
		nextArr = [0] * (n + 1 - len(self.invFactorial_))
		initialI = len(self.invFactorial_)
		prev = self.invFactorial_[-1]
		p = self.MOD
		for i in range(initialI, n + 1):
			prev = nextArr[i - initialI] = prev * self.invModulos[i % p] % p
		self.invFactorial_ += nextArr
		return self.invFactorial_[n]

class Combination:

	def __init__(self, MOD):
		self.MOD = MOD
		self.factorial = Factorial(MOD)

	def ncr(self, n, k):
		if k < 0 or n < k:
			return 0
		k = min(k, n - k)
		f = self.factorial
		return f.calc(n) * f.invFactorial(max(n - k, k)) * f.invFactorial(min(k, n - k)) % self.MOD

def powm(a, n, m):
	if a == 1 or n == 0:
		return 1
	if n % 2 == 0:
		s = powm(a, n // 2, m)
		return s * s % m
	else:
		return a * powm(a, n - 1, m) % m

def sort_list(list1, list2):
	zipped_pairs = zip(list2, list1)
	z = [x for (_, x) in sorted(zipped_pairs)]
	return z

def product(l):
	por = 1
	for i in range(len(l)):
		por *= l[i]
	return por

def binarySearchCount(arr, n, key):
	left = 0
	right = n - 1
	count = 0
	while left <= right:
		mid = int((right + left) / 2)
		if arr[mid] < key:
			count = mid + 1
			left = mid + 1
		else:
			right = mid - 1
	return count

def countdig(n):
	c = 0
	while n > 0:
		n //= 10
		c += 1
	return c

def binary(x, length):
	y = bin(x)[2:]
	return y if len(y) >= length else '0' * (length - len(y)) + y

def countGreater(arr, n, k):
	l = 0
	r = n - 1
	leftGreater = n
	while l <= r:
		m = int(l + (r - l) / 2)
		if arr[m] >= k:
			leftGreater = m
			r = m - 1
		else:
			l = m + 1
	return n - leftGreater
n = int(input())
ma = 0
l = []
time = []
for i in range(n):
	s = list(map(int, input().split()))
	ma = max(ma, s[1])
	l.append(s + [i + 1])
	time.append(s[1])
l = sort_list(l, time)
dp = [[[] for i in range(ma + 1)] for j in range(n)]
dp1 = [[0 for i in range(ma + 1)] for j in range(n)]
for i in range(ma + 1):
	if l[0][0] < i <= l[0][1]:
		dp1[0][i] = l[0][2]
		dp[0][i] = [l[0][-1]]
for i in range(1, n):
	for j in range(ma + 1):
		if j - l[i][0] > 0 and j <= l[i][1]:
			dp1[i][j] = max(dp1[i - 1][j], dp1[i - 1][j - l[i][0]] + l[i][2])
			if dp1[i][j] == dp1[i - 1][j]:
				dp[i][j] = dp[i - 1][j] + []
			else:
				dp[i][j] = dp[i - 1][j - l[i][0]] + [l[i][-1]]
		else:
			dp1[i][j] = dp1[i - 1][j]
			dp[i][j] = dp[i - 1][j] + []
ans = max(dp1[-1])
print(ans)
ind = dp1[-1].index(ans)
print(len(dp[-1][ind]))
print(*dp[-1][ind])


from sys import stdin
input = stdin.readline
n = int(input())
T = 2001
(t, d, p, idx) = ([], [], [], [])
ans = []
arr = []
for i in range(n):
	(a, b, c) = map(int, input().split())
	arr.append([a, b, c, i])
arr.sort(key=lambda x: x[1])
for i in arr:
	t.append(i[0])
	d.append(i[1])
	p.append(i[2])
	idx.append(i[3])
dp = [[0 for j in range(n)] for i in range(T)]
for time in range(1, T):
	for i in range(n):
		dp[time][i] = dp[time][i - 1]
		if d[i] > time >= t[i]:
			if i:
				dp[time][i] = max(dp[time][i], p[i] + dp[time - t[i]][i - 1])
			else:
				dp[time][i] = p[i]
b = [0, [0, 0]]
for i in range(T):
	for j in range(n):
		if b[0] < dp[i][j]:
			b = [dp[i][j], [i, j]]
print(b[0])
b = b[1]
while dp[b[0]][b[1]] and b[0] > -1:
	if b[1] and dp[b[0]][b[1]] != dp[b[0]][b[1] - 1]:
		ans.append(b[1])
		b[0] -= t[b[1]]
	elif b[1] == 0:
		if dp[b[0]][b[1]]:
			ans.append(b[1])
		break
	b[1] -= 1
print(len(ans))
for i in ans[::-1]:
	print(idx[i] + 1, end=' ')