Jamie has recently found undirected weighted graphs with the following properties very interesting:

  * The graph is connected and contains exactly n vertices and m edges. 
  * All edge weights are integers and are in range [1, 109] inclusive. 
  * The length of shortest path from 1 to n is a prime number. 
  * The sum of edges' weights in the minimum spanning tree (MST) of the graph is a prime number. 
  * The graph contains no loops or multi-edges. 



If you are not familiar with some terms from the statement you can find definitions of them in notes section. 

Help Jamie construct any graph with given number of vertices and edges that is interesting!

Input

First line of input contains 2 integers n, m <image> — the required number of vertices and edges.

Output

In the first line output 2 integers sp, mstw (1 ≤ sp, mstw ≤ 1014) — the length of the shortest path and the sum of edges' weights in the minimum spanning tree.

In the next m lines output the edges of the graph. In each line output 3 integers u, v, w (1 ≤ u, v ≤ n, 1 ≤ w ≤ 109) describing the edge connecting u and v and having weight w. 

Examples

Input

4 4


Output

7 7
1 2 3
2 3 2
3 4 2
2 4 4


Input

5 4


Output

7 13
1 2 2
1 3 4
1 4 3
4 5 4

Note

The graph of sample 1: <image> Shortest path sequence: {1, 2, 3, 4}. MST edges are marked with an asterisk (*).

Definition of terms used in the problem statement:

A shortest path in an undirected graph is a sequence of vertices (v1, v2, ... , vk) such that vi is adjacent to vi + 1 1 ≤ i < k and the sum of weight <image> is minimized where w(i, j) is the edge weight between i and j. (<https://en.wikipedia.org/wiki/Shortest_path_problem>)

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. (<https://en.wikipedia.org/wiki/Prime_number>)

A minimum spanning tree (MST) is a subset of the edges of a connected, edge-weighted undirected graph that connects all the vertices together, without any cycles and with the minimum possible total edge weight. (<https://en.wikipedia.org/wiki/Minimum_spanning_tree>)

<https://en.wikipedia.org/wiki/Multiple_edges>

Difficulty: MEDIUM_HARD
Tags: Graph algorithms

Shortest paths

Constructive algorithms

Starter code:

Solutions:
INF = 1000000
erast = [1] * INF
erast[1] = 0
primes = []
for i in range(2, INF):
	if erast[i] == 1:
		for j in range(i * 2, INF, i):
			erast[j] = 0
		primes.append(i)
lastp = primes[-1]
(n, m) = map(int, input().split())
edges = set()
print(lastp, lastp)
for i in range(n - 2):
	print(i + 1, i + 2, 1)
	edges.add((i, i + 1))
	edges.add((i + 1, i))
print(n - 1, n, lastp - n + 2)
edges.add((n - 1, n))
edges.add((n, n - 1))
m -= n - 1
for i in range(0, n):
	for j in range(0, n):
		if i == j:
			continue
		if m == 0:
			break
		if not (i, j) in edges:
			m -= 1
			print(i + 1, j + 1, INF)
			edges.add((i, j))
			edges.add((j, i))


def aval(n):
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
	return True
(n, m) = map(int, input().split())
if n == 2:
	print(2, 2)
	print(1, 2, 2)
else:
	p = n - 1
	t = 1
	while not aval(p):
		p += 1
		t += 1
	m = m - (n - 1)
	print(p, p)
	for i in range(1, n - 1):
		print(i, i + 1, 1)
	print(n - 1, n, t)
	for i in range(1, n - 1):
		for j in range(i + 2, n + 1):
			m -= 1
			if m < 0:
				break
			a = 0
			if j == n:
				a = t - 1
			print(i, j, j - i + a + 1)
		if m < 0:
			break


(n, m) = list(map(int, input().split()))
print(2 * 10 ** 5 - 1, 2 * 10 ** 5 - 1)
for i in range(1, n - 1):
	print(i, i + 1, 1)
print(n - 1, n, 2 * 10 ** 5 - 1 - (n - 2))
import sys
if m >= n:
	k = n
	j = 1
	for i in range(1, n):
		for j in range(i + 2, n + 1):
			print(i, j, 2 * 10 ** 5)
			k += 1
			if k > m:
				sys.exit()


def addEdge(res, m):
	if len(res) >= m:
		return
	for i in range(1, n):
		for j in range(i + 2, n + 1):
			res.append([i, j, 1000000000])
			if len(res) >= m:
				return
(n, m) = map(int, input().split())
res = []
prev = 1
for i in range(2, n + 1):
	res.append([prev, i, 1])
	prev = i
res[0][2] += 100003 - len(res)
addEdge(res, m)
print(100003, 100003)
for i in res:
	print(*i)


(nodes, n_edges) = map(int, input().strip().split())
if nodes == 2:
	print('2 2')
	print('1 2 2')
else:
	primes = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, 10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, 12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, 12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, 13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, 13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 13693, 13697, 13709, 13711, 13721, 13723, 13729, 13751, 13757, 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89123, 89137, 89153, 89189, 89203, 89209, 89213, 89227, 89231, 89237, 89261, 89269, 89273, 89293, 89303, 89317, 89329, 89363, 89371, 89381, 89387, 89393, 89399, 89413, 89417, 89431, 89443, 89449, 89459, 89477, 89491, 89501, 89513, 89519, 89521, 89527, 89533, 89561, 89563, 89567, 89591, 89597, 89599, 89603, 89611, 89627, 89633, 89653, 89657, 89659, 89669, 89671, 89681, 89689, 89753, 89759, 89767, 89779, 89783, 89797, 89809, 89819, 89821, 89833, 89839, 89849, 89867, 89891, 89897, 89899, 89909, 89917, 89923, 89939, 89959, 89963, 89977, 89983, 89989, 90001, 90007, 90011, 90017, 90019, 90023, 90031, 90053, 90059, 90067, 90071, 90073, 90089, 90107, 90121, 90127, 90149, 90163, 90173, 90187, 90191, 90197, 90199, 90203, 90217, 90227, 90239, 90247, 90263, 90271, 90281, 90289, 90313, 90353, 90359, 90371, 90373, 90379, 90397, 90401, 90403, 90407, 90437, 90439, 90469, 90473, 90481, 90499, 90511, 90523, 90527, 90529, 90533, 90547, 90583, 90599, 90617, 90619, 90631, 90641, 90647, 90659, 90677, 90679, 90697, 90703, 90709, 90731, 90749, 90787, 90793, 90803, 90821, 90823, 90833, 90841, 90847, 90863, 90887, 90901, 90907, 90911, 90917, 90931, 90947, 90971, 90977, 90989, 90997, 91009, 91019, 91033, 91079, 91081, 91097, 91099, 91121, 91127, 91129, 91139, 91141, 91151, 91153, 91159, 91163, 91183, 91193, 91199, 91229, 91237, 91243, 91249, 91253, 91283, 91291, 91297, 91303, 91309, 91331, 91367, 91369, 91373, 91381, 91387, 91393, 91397, 91411, 91423, 91433, 91453, 91457, 91459, 91463, 91493, 91499, 91513, 91529, 91541, 91571, 91573, 91577, 91583, 91591, 91621, 91631, 91639, 91673, 91691, 91703, 91711, 91733, 91753, 91757, 91771, 91781, 91801, 91807, 91811, 91813, 91823, 91837, 91841, 91867, 91873, 91909, 91921, 91939, 91943, 91951, 91957, 91961, 91967, 91969, 91997, 92003, 92009, 92033, 92041, 92051, 92077, 92083, 92107, 92111, 92119, 92143, 92153, 92173, 92177, 92179, 92189, 92203, 92219, 92221, 92227, 92233, 92237, 92243, 92251, 92269, 92297, 92311, 92317, 92333, 92347, 92353, 92357, 92363, 92369, 92377, 92381, 92383, 92387, 92399, 92401, 92413, 92419, 92431, 92459, 92461, 92467, 92479, 92489, 92503, 92507, 92551, 92557, 92567, 92569, 92581, 92593, 92623, 92627, 92639, 92641, 92647, 92657, 92669, 92671, 92681, 92683, 92693, 92699, 92707, 92717, 92723, 92737, 92753, 92761, 92767, 92779, 92789, 92791, 92801, 92809, 92821, 92831, 92849, 92857, 92861, 92863, 92867, 92893, 92899, 92921, 92927, 92941, 92951, 92957, 92959, 92987, 92993, 93001, 93047, 93053, 93059, 93077, 93083, 93089, 93097, 93103, 93113, 93131, 93133, 93139, 93151, 93169, 93179, 93187, 93199, 93229, 93239, 93241, 93251, 93253, 93257, 93263, 93281, 93283, 93287, 93307, 93319, 93323, 93329, 93337, 93371, 93377, 93383, 93407, 93419, 93427, 93463, 93479, 93481, 93487, 93491, 93493, 93497, 93503, 93523, 93529, 93553, 93557, 93559, 93563, 93581, 93601, 93607, 93629, 93637, 93683, 93701, 93703, 93719, 93739, 93761, 93763, 93787, 93809, 93811, 93827, 93851, 93871, 93887, 93889, 93893, 93901, 93911, 93913, 93923, 93937, 93941, 93949, 93967, 93971, 93979, 93983, 93997, 94007, 94009, 94033, 94049, 94057, 94063, 94079, 94099, 94109, 94111, 94117, 94121, 94151, 94153, 94169, 94201, 94207, 94219, 94229, 94253, 94261, 94273, 94291, 94307, 94309, 94321, 94327, 94331, 94343, 94349, 94351, 94379, 94397, 94399, 94421, 94427, 94433, 94439, 94441, 94447, 94463, 94477, 94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559, 94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649, 94651, 94687, 94693, 94709, 94723, 94727, 94747, 94771, 94777, 94781, 94789, 94793, 94811, 94819, 94823, 94837, 94841, 94847, 94849, 94873, 94889, 94903, 94907, 94933, 94949, 94951, 94961, 94993, 94999, 95003, 95009, 95021, 95027, 95063, 95071, 95083, 95087, 95089, 95093, 95101, 95107, 95111, 95131, 95143, 95153, 95177, 95189, 95191, 95203, 95213, 95219, 95231, 95233, 95239, 95257, 95261, 95267, 95273, 95279, 95287, 95311, 95317, 95327, 95339, 95369, 95383, 95393, 95401, 95413, 95419, 95429, 95441, 95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527, 95531, 95539, 95549, 95561, 95569, 95581, 95597, 95603, 95617, 95621, 95629, 95633, 95651, 95701, 95707, 95713, 95717, 95723, 95731, 95737, 95747, 95773, 95783, 95789, 95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873, 95881, 95891, 95911, 95917, 95923, 95929, 95947, 95957, 95959, 95971, 95987, 95989, 96001, 96013, 96017, 96043, 96053, 96059, 96079, 96097, 96137, 96149, 96157, 96167, 96179, 96181, 96199, 96211, 96221, 96223, 96233, 96259, 96263, 96269, 96281, 96289, 96293, 96323, 96329, 96331, 96337, 96353, 96377, 96401, 96419, 96431, 96443, 96451, 96457, 96461, 96469, 96479, 96487, 96493, 96497, 96517, 96527, 96553, 96557, 96581, 96587, 96589, 96601, 96643, 96661, 96667, 96671, 96697, 96703, 96731, 96737, 96739, 96749, 96757, 96763, 96769, 96779, 96787, 96797, 96799, 96821, 96823, 96827, 96847, 96851, 96857, 96893, 96907, 96911, 96931, 96953, 96959, 96973, 96979, 96989, 96997, 97001, 97003, 97007, 97021, 97039, 97073, 97081, 97103, 97117, 97127, 97151, 97157, 97159, 97169, 97171, 97177, 97187, 97213, 97231, 97241, 97259, 97283, 97301, 97303, 97327, 97367, 97369, 97373, 97379, 97381, 97387, 97397, 97423, 97429, 97441, 97453, 97459, 97463, 97499, 97501, 97511, 97523, 97547, 97549, 97553, 97561, 97571, 97577, 97579, 97583, 97607, 97609, 97613, 97649, 97651, 97673, 97687, 97711, 97729, 97771, 97777, 97787, 97789, 97813, 97829, 97841, 97843, 97847, 97849, 97859, 97861, 97871, 97879, 97883, 97919, 97927, 97931, 97943, 97961, 97967, 97973, 97987, 98009, 98011, 98017, 98041, 98047, 98057, 98081, 98101, 98123, 98129, 98143, 98179, 98207, 98213, 98221, 98227, 98251, 98257, 98269, 98297, 98299, 98317, 98321, 98323, 98327, 98347, 98369, 98377, 98387, 98389, 98407, 98411, 98419, 98429, 98443, 98453, 98459, 98467, 98473, 98479, 98491, 98507, 98519, 98533, 98543, 98561, 98563, 98573, 98597, 98621, 98627, 98639, 98641, 98663, 98669, 98689, 98711, 98713, 98717, 98729, 98731, 98737, 98773, 98779, 98801, 98807, 98809, 98837, 98849, 98867, 98869, 98873, 98887, 98893, 98897, 98899, 98909, 98911, 98927, 98929, 98939, 98947, 98953, 98963, 98981, 98993, 98999, 99013, 99017, 99023, 99041, 99053, 99079, 99083, 99089, 99103, 99109, 99119, 99131, 99133, 99137, 99139, 99149, 99173, 99181, 99191, 99223, 99233, 99241, 99251, 99257, 99259, 99277, 99289, 99317, 99347, 99349, 99367, 99371, 99377, 99391, 99397, 99401, 99409, 99431, 99439, 99469, 99487, 99497, 99523, 99527, 99529, 99551, 99559, 99563, 99571, 99577, 99581, 99607, 99611, 99623, 99643, 99661, 99667, 99679, 99689, 99707, 99709, 99713, 99719, 99721, 99733, 99761, 99767, 99787, 99793, 99809, 99817, 99823, 99829, 99833, 99839, 99859, 99871, 99877, 99881, 99901, 99907, 99923, 99929, 99961, 99971, 99989, 99991, 100003, 100019, 100043, 100049, 100057, 100069, 100103, 100109, 100129, 100151]
	mst_path = 2
	edges = [(1, nodes, 2)]
	for i in range(2, nodes):
		edges.append((1, i, 1))
		mst_path += 1
	for p in primes:
		if mst_path <= p:
			edges[-1] = (1, nodes - 1, 1 + p - mst_path)
			mst_path = p
			break
	for i in range(2, nodes + 1):
		for j in range(i + 1, nodes + 1):
			if len(edges) < n_edges:
				edges.append((i, j, 1000000))
			else:
				break
	print(2, mst_path)
	for e in edges:
		print(*e)


def is_prime(n):
	d = 2
	while d * d <= n:
		if n % d == 0:
			return False
		d = d + 1
	return n != 1
nm = list(map(int, input().split()))
n = nm[0]
m = nm[1]
p = n
while not is_prime(p):
	p = p + 1
print(2, p)
print(1, n, 2)
for i in range(1, n - 2):
	print(i, i + 1, 1)
if n > 2:
	print(n - 2, n - 1, p - n + 1)
	edges = n - 1
	if n == 3:
		i = 2
		j = 3
	else:
		i = 1
		j = 3
	while edges < m:
		print(i, j, 100000000)
		if i == 1 and j == n - 1:
			i = 2
			j = 4
		elif j == n:
			i = i + 1
			if i == n - 1:
				j = i + 1
			else:
				j = i + 2
		else:
			j = j + 1
		edges += 1


(n, m) = map(int, input().split())
a = [0 for i in range(2 * n)]
for i in range(2, 2 * n):
	if a[i] == 0:
		if i >= n:
			break
		j = 1
		while i * j < 2 * n:
			a[i * j] = 1
			j += 1
print(2, i)
print(1, n, 2)
if n - 2 == 1:
	print(1, 2, 1)
elif n - 2 > 1:
	print(1, 2, i - n + 1)
	for j in range(n - 3):
		print(j + 2, j + 3, 1)
time = 0
t = []
for j in range(1, n - 1):
	for k in range(j + 2, n + 1):
		if (j - k) ** 2 > 1 and (not (j == 1 and k == n)):
			t.append([j, k])
		time += 1
	if time > 10 ** 5:
		break
t.append([n - 1, n])
for j in range(m - n + 1):
	print(t[j][0], t[j][1], 10 ** 9)


(n, m) = map(int, input().split())
gr = {u: [] for u in range(1, n + 1)}
for p in range(n + 3, 1000000):
	isprime = True
	for k in range(2, p):
		if p % k == 0:
			isprime = False
			break
		elif p < k * k:
			break
	if isprime:
		c = p - n + 2
		break
for u in range(1, n - 1):
	gr[u].append((u + 1, 1))
if 1 < n:
	gr[n - 1].append((n, c))
cnt = n - 1
u = 1
v = 2
while cnt < m:
	if v == n:
		u += 1
		v = u + 2
	else:
		v += 1
	gr[u].append((v, 1000000000))
	cnt += 1
print('%d %d' % (p, p))
for u in gr.keys():
	for (v, c) in gr[u]:
		print('%d %d %d' % (u, v, c))


inp = lambda : map(int, input().split())
(n, m) = inp()
pr = 2 * 10 ** 5 + 3
if n > 2:
	print(2, pr)
else:
	print(pr, pr)
cnt = n - 1
for i in range(n, 2, -1):
	print(1, i, 2)
rest = pr - 2 * (n - 2)
print(1, 2, rest)
for i in range(2, n):
	for j in range(i + 1, n + 1):
		cnt += 1
		if cnt > m:
			quit()
		print(i, j, pr + 3)


(n, m) = map(int, input().split())
o = []
r = 2
for i in range(2, n - 1):
	o.append('1 %i 1' % i)
	r += 1
o.append('1 %i 2' % n)
if n > 2:
	o.append('1 %i %i' % (n - 1, 100019 - (n - 1)))
	r += 100019 - (n - 1)
m -= n - 1
for i in range(2, n + 1):
	if m <= 0:
		break
	for j in range(i + 1, n + 1):
		if m <= 0:
			break
		o.append('%i %i 100020' % (i, j))
		m -= 1
print('2 %i' % r)
print('\n'.join(o))


(n, m) = map(int, input().split())
aux = 1000003
m -= n - 1
print(aux, aux)
print(1, 2, aux - n + 2)
for i in range(1, n - 1):
	print(i + 1, i + 2, 1)
for i in range(1, n):
	if m == 0:
		break
	for j in range(i + 2, n + 1):
		if m == 0:
			break
		print(i, j, aux + 1)
		m -= 1


def isprime(n):
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
	return True

def prime(n):
	i = n
	while 1:
		if isprime(i):
			return i
		i += 1
(n, m) = map(int, input().split())
p = prime(n)
print(2, p)
print(1, n, 2)
for i in range(2, n - 1):
	print(1, i, 1)
if m != 1:
	print(1, n - 1, p - n + 1)
i = n - 1
j = 2
while i < m and j <= n:
	k = j + 1
	while k <= n and i < m:
		print(j, k, p + 1)
		k += 1
		i += 1
	j += 1


(n, m) = map(int, input().split())
prime = 100003
first = prime - n + 2
total = prime
m = m - n + 1
sol = []
sol.append((1, 2, first))
for i in range(2, n):
	sol.append((i, i + 1, 1))
print('{} {}'.format(prime, prime))
for i in sol:
	print('{} {} {}'.format(i[0], i[1], i[2]))
prime += 1
for k in range(2, n):
	for i in range(1, n):
		for j in range(i + k, n + 1):
			if m > 0:
				print('{} {} {}'.format(i, j, prime))
				prime += 1
				m -= 1
			else:
				exit(0)


(n, m) = map(int, input().split())
if n == 2:
	print(3, 3)
	print(1, 2, 3)
else:
	ini = 1
	print(3, 100003)
	print(1, n, 3)
	for i in range(2, n - 1):
		print(1, i, 1)
	print(1, n - 1, 10 ** 5 - (n - 3))
	count = n - 1
	ini = 2
	while count < m:
		for i in range(ini + 1, n + 1):
			count += 1
			print(ini, i, 10000000)
			if count >= m:
				break
		ini += 1


from sys import stdin, stdout
M = 200000
isprime = [True] * M
isprime[0] = isprime[1] = False
for i in range(2, M):
	if isprime[i]:
		for j in range(i * i, M, i):
			isprime[j] = False
(n, m) = map(int, input().split())
sp = 2
mstw = 0
ans = []
ans.append((1, n, 2))
mstw += 2
for v in range(2, n - 1):
	ans.append((1, v, 1))
	mstw += 1
if n - 1 > 1:
	for w in range(1, M):
		if isprime[mstw + w]:
			ans.append((1, n - 1, w))
			mstw += w
			break
(u, v) = (2, 3)
while len(ans) < m:
	ans.append((u, v, int(1000000000.0)))
	v += 1
	if v > n:
		u += 1
		v = u + 1
print(sp, mstw)
for tp in ans:
	print(*tp)


from math import sqrt

def check(number):
	flag = 1
	limit = int(sqrt(number))
	if number == 0:
		return 0
	for i in range(2, limit + 1):
		if number % i != 0:
			continue
		else:
			flag = 0
			break
	return flag

def nextprime(number):
	for i in range(number + 1, number + 10 ** 6):
		if check(i):
			return i
(n, m) = map(int, input().split(' '))
ans = []
rem = 0
l = []
if n == 2:
	print(2, 2)
	print(1, 2, 2)
else:
	for i in range(n - 2):
		l.append([i + 1, i + 2, 1])
		rem += 1
	f = nextprime(rem)
	l.append([n - 1, n, f - rem])
	print(f, f)
	for i in l:
		print(*i)
	node = 1
	nextnode = node + 2
	for i in range(m - n + 1):
		if nextnode > n:
			node += 1
			nextnode = node + 2
		print(node, nextnode, f + 100)
		nextnode += 1


(n, m) = [int(x) for x in input().split()]

def first_prime_greater(x):
	number = max(x, 2)
	while True:
		for divisor_candidate in range(2, int(number ** 0.5) + 1):
			if number % divisor_candidate == 0:
				number += 1
				break
		else:
			break
	return number
min_span_tree = shortest_path = first_prime_greater(n - 1)
edges = dict()
print(min_span_tree, shortest_path)
for vertex in range(n - 2):
	adj_vertex = vertex + 1
	edges[vertex, adj_vertex] = 1
	min_span_tree -= 1
	m -= 1
edges[n - 2, n - 1] = min_span_tree
m -= 1
for vertex in range(n):
	for adj_vertex in range(vertex + 1, n):
		if m == 0:
			break
		if (vertex, adj_vertex) not in edges and m > 0:
			edges[vertex, adj_vertex] = 10 ** 9
			m -= 1
for (vertex, adj_vertex) in edges:
	print(vertex + 1, adj_vertex + 1, edges[vertex, adj_vertex])


(n, m) = map(int, input().split())

def min_prime(n):
	for i in range(n, 100 + 2 * n):
		j = 2
		found = 1
		while j * j <= i:
			if i % j == 0:
				found = 0
				break
			j += 1
		if found:
			return i
mp = min_prime(n)
p = mp - n + 2
print(mp, mp)
INF = int(1000000000.0)
print(1, 2, p)
for i in range(2, n):
	print(i, i + 1, 1)
m -= n - 1
for i in range(1, n + 1):
	for j in range(i + 2, n + 1):
		if m == 0:
			exit(0)
		print(i, j, INF)
		m -= 1


import itertools

def main():
	(n, m) = map(int, input().split())
	counter = n - 1
	print(100019, 100019)
	for i in range(1, n - 1):
		print(i, i + 1, 1)
	print(n - 1, n, 100019 - (n - 2))
	for (u, v) in itertools.combinations(range(n), r=2):
		if counter == m:
			break
		u += 1
		v += 1
		if v - u == 1:
			continue
		print(u, v, 10 ** 9)
		counter += 1
main()


(n, m) = [int(i) for i in input().split()]
p = 106033
print(p, p)
for i in range(n - 2):
	print(i + 1, i + 2, 1)
print(n - 1, n, p - n + 2)
t = n - 1
for i in range(n):
	for j in range(i + 2, n):
		if t == m:
			exit()
		print(i + 1, j + 1, 2 * p)
		t += 1


(n, m) = map(int, input().split())
prime = 1000003
m -= n - 1
print(prime, prime)
for i in range(n - 1):
	print(i + 1, i + 2, 1 if i else prime - n + 2)
for i in range(n):
	for j in range(i + 2, n):
		if not m:
			break
		print(i + 1, j + 1, 10 * prime)
		m -= 1


(n, m) = [int(n) for n in input().split(' ')]
w = 100003
edges = []
edges.append([1, n, 2])
st = 2
if n > 2:
	st = w
	edges.append([1, 2, w - n + 1])
	for i in range(3, n):
		edges.append([1, i, 1])
start = 2
end = 3
while len(edges) < m:
	if end > n:
		start += 1
		end = start + 1
		continue
	edges.append([start, end, w + 1])
	end += 1
print(2, st)
for e in edges:
	print(e[0], e[1], e[2])


def solve(n, m):
	out = '%d %d\n' % (prime, prime)
	for i in range(1, n - 1):
		out += '%d %d %d\n' % (i, i + 1, 1)
	out += '%d %d %d\n' % (n - 1, n, prime - n + 2)
	m -= n - 1
	for i in range(1, n - 1):
		for j in range(i + 2, n + 1):
			if m == 0:
				return out
			else:
				m -= 1
				out += '%d %d %d\n' % (i, j, maximum)
	return out
prime = 100003
maximum = 1000000000
(n, m) = map(int, input().split())
print(solve(n, m))


(n, m) = map(int, input().split())
p = int(700000.0 + 1)
print(p, p)
for i in range(n - 2):
	print(i + 1, i + 2, 1)
print(n - 1, n, p - n + 2)
m -= n - 1
for i in range(n):
	for j in range(i + 2, n):
		if m == 0:
			exit()
		m -= 1
		print(i + 1, j + 1, int(100000000.0))


from random import randint

def eratospen(k):
	primes = [True for _ in range(10 ** 6 + 2)]
	primes[0] = primes[1] = False
	answer = 0
	for i in range(2, 10 ** 6 + 2):
		if primes[i]:
			if i >= k:
				answer = i
				break
			for j in range(i ** 2, 10 ** 6 + 2, i):
				primes[j] = False
	return answer
(n, m) = map(int, input().split())
weight = eratospen(n - 1)
print(weight, weight)
for i in range(n - 2):
	pass
	print(i + 1, i + 2, 1)
print(n - 1, n, weight - n + 2)
m -= n - 1
have = set()
for _ in range(m):
	a = randint(1, n)
	b = randint(1, n)
	while abs(a - b) <= 1 or (a, b) in have:
		a = randint(1, n)
		b = randint(1, n)
	print(a, b, 10 ** 7)
	have.add((a, b))
	have.add((b, a))


import math
(n, m) = map(int, input().split())
num = 0
for i in range(n - 1, 10 ** 9):
	ok = True
	for d in range(2, int(math.sqrt(i)) + 1):
		if i % d == 0:
			ok = False
	if ok:
		num = i
		break
num = max(num, 2)
print(num, num)
left = m - (n - 1)
just = 10 ** 9
for i in range(n - 1):
	if i == n - 2:
		print(i + 1, i + 2, num - (n - 2))
	else:
		print(i + 1, i + 2, 1)
	for j in range(min(n - i - 2, left)):
		print(i + 1, i + 3 + j, just)
	left -= n - i - 2


(n, m) = map(int, input().split())

def is_prime(x):
	if x == 1:
		return False
	for i in range(2, 1000000):
		if i * i > x:
			break
		if x % i == 0:
			return False
	return True
r = m
t = 0
gr = [list() for i in range(n)]
gr[0].append([n - 1, 2])
t += 2
r -= 1
for i in range(1, n - 2):
	gr[0].append([i, 1])
	t += 1
	r -= 1
if r > 0:
	for i in range(n, 1000000):
		if is_prime(i):
			gr[0].append([n - 2, i - n + 1])
			t += i - n + 1
			r -= 1
			break
for i in range(1, n):
	for j in range(i + 1, n):
		if r == 0:
			break
		gr[i].append([j, 100007])
		r -= 1
	if r == 0:
		break
print(' '.join(map(str, [2, t])))
for a in range(n):
	for x in gr[a]:
		b = x[0]
		w = x[1]
		print(' '.join(map(str, [a + 1, b + 1, w])))
exit(0)


(n, m) = map(int, input().split(' '))
p = 100003
print(p, p, sep=' ')
for i in range(1, n - 1):
	print(i, i + 1, 1, sep=' ')
print(n - 1, n, p - n + 2, sep=' ')
rem = m - n + 1
for j in range(1, n):
	for k in range(j + 2, n + 1):
		if rem == 0:
			exit(0)
		print(j, k, 1000000, sep=' ')
		rem -= 1


(n, m) = list(map(int, input().split()))
P = 107309
k = [1] * n
if m != 1:
	print('3 107309')
else:
	print('3 3')
if m != 1:
	for i in range(n - 3):
		print('1 ' + str(i + 2) + ' 1')
print('1 ' + str(n) + ' 3')
if m != 1:
	print('1 ' + str(n - 1) + ' ' + str(P - n))
k[0] = n - 1
m = m - n + 1
l = 1
while m > 0:
	if k[l] == n - 1:
		l += 1
	i = l + 1
	while k[l] != n - 1:
		if k[i] < n - 1:
			print(l + 1, end=' ')
			print(i + 1, end=' ')
			print(100000000)
			k[i] += 1
			k[l] += 1
			m -= 1
		i += 1
		if i == n or m == 0:
			break


(n, m) = (int(i) for i in input().split())
if n == 2:
	print(2, 2)
	print(1, 2, 2)
else:
	(u, v, w) = ([], [], [])
	l = list(range(1, 1000000 + 1))
	l[0] = 0
	for i in range(2, 5 * n + 1):
		if l[i - 1] != 0:
			for j in range(i * 2, 5 * n + 1, i):
				l[j - 1] = 0
	prime = [x for x in l if x != 0]
	for i in range(2, n - 1):
		u.append(1)
		v.append(i)
		w.append(2)

	def lower_bound(prime, value):
		(left, right) = (0, len(prime) - 1)
		while left != right:
			mid = (left + right) // 2
			if value > prime[mid]:
				left = mid + 1
			else:
				right = mid
		return left
	mstw = prime[lower_bound(prime, 2 * (n - 1))]
	print(2, mstw)
	for i in range(n - 3):
		print(u[i], v[i], w[i])
	print(1, n - 1, mstw - 2 * (n - 2))
	print(1, n, 2)
	(i, j, count) = (2, 3, n - 1)
	for i in range(2, n):
		if count == m:
			break
		for j in range(i + 1, n + 1):
			if count == m:
				break
			count += 1
			print(i, j, 1000000000)


(n, m) = map(int, input().split())
if n == 2:
	print(2, 2)
	print(1, 2, 2)
	quit()
x = 100003 - (n - 1)
print(2, 100003)
for i in range(2, n + 1):
	if i <= n - 2:
		print(1, i, 1)
	elif i == n - 1:
		print(1, i, x)
	else:
		print(1, n, 2)
m = m - (n - 1)
i = 2
j = 3
while m > 0:
	print(i, j, 1000000)
	j = j + 1
	if j == n + 1:
		i = i + 1
		j = i + 1
	m = m - 1


read = lambda : map(int, input().split())

def generate_first_prime(lower, upper):
	if upper < lower:
		return -1
	if lower is 2:
		return 2
	lower = lower + 1 if lower & 1 is 0 else lower
	for num in range(lower, upper + 1, 2):
		for i in range(2, num):
			if num % i is 0:
				break
		else:
			return num
	return -1

def main():
	(n, m) = read()
	p = generate_first_prime(n, 2 * n - 2)
	print(2, p)
	n1 = 2 * (n - 1) - p
	n2 = p - (n - 1)
	index = 2
	for _ in range(n1):
		print(1, index, 1)
		index += 1
	for _ in range(n2):
		print(1, index, 2)
		index += 1
	remain = m - (n - 1)
	i = 2
	j = 3
	while remain:
		print(i, j, 999)
		j += 1
		if j > n:
			i += 1
			j = i + 1
		remain -= 1
main()


(n, m) = list(map(int, input().strip().split()))
prime = 100003
if n == 2:
	print(2, 2)
	print(1, 2, 2)
else:
	print(2, prime)
	print(1, n, 2)
	remaining = prime - 2
	for i in range(2, n - 1):
		print(1, i, 1)
		remaining -= 1
	print(1, n - 1, remaining)
	remaining_arc = m - (n - 1)
	while remaining_arc:
		for i in range(2, n):
			for j in range(i + 1, n + 1):
				print(i, j, prime + 2)
				remaining_arc -= 1
				if not remaining_arc:
					break
			if not remaining_arc:
				break


(pr, inf) = (100003, 1000000000)
(n, m) = [int(i) for i in input().split()]
(cr, crs) = (0, 0)
print(pr, pr)
for i in range(1, n):
	if cr == n - 2:
		print(i, i + 1, pr - crs)
	else:
		print(i, i + 1, 1)
		crs += 1
	cr += 1
for i in range(1, n + 1):
	if cr == m:
		break
	for j in range(i + 2, n + 1):
		print(i, j, inf)
		cr += 1
		if cr == m:
			break


(vertices, edges) = [int(c) for c in input().split(' ')]
primelist = [2, 3, 5, 7]
for i in range(11, 10 ** 5 + 10000, 2):
	temp = True
	for p in primelist:
		if i % p == 0:
			temp = False
			break
		elif i < p * p:
			break
	if temp:
		primelist.append(i)
mst_len = 0
for p in primelist:
	if p > vertices:
		mst_len = p
		break
print(mst_len, mst_len)
for i in range(2, vertices):
	print(i - 1, i, 1)
print(vertices - 1, vertices, mst_len - (vertices - 2))
it = edges - (vertices - 1)
for i in range(1, vertices + 1):
	if it <= 0:
		break
	for j in range(i + 2, vertices + 1):
		if it <= 0:
			break
		print(i, j, 10 ** 9 - 1)
		it -= 1


def eratosthenes(n):
	sieve = list(range(n + 1))
	sieve[1] = 0
	for i in sieve:
		if i > 1:
			for j in range(i + i, len(sieve), i):
				sieve[j] = 0
	return sieve
a = []
for i in eratosthenes(1000000):
	if i:
		a.append(i)
(n, m) = map(int, input().split())
if n == 2 and m == 1:
	print(3, 3)
	print(1, 2, 3)
	exit()
for s in a:
	if s >= n:
		break
print(s, s)
for i in range(1, n - 1):
	print(i, i + 1, 1)
print(i + 1, i + 2, s - n + 2)
if m >= n:
	q = m - n + 1
	for i in range(1, m - n + 2):
		for k in range(i + 2, n + 1):
			q -= 1
			if q < 0:
				exit()
			print(i, k, 1000000000)


(n, m) = map(int, input().split())
import math

def is_prime(n):
	if n == 1:
		return False
	for i in range(2, int(math.sqrt(n)) + 1):
		if n % i == 0:
			return False
	return True
for i in range(10 ** 5, 2 * 10 ** 5):
	if is_prime(i):
		p = i
		break
if n == 2:
	print(2, 2)
	print(1, 2, 2)
	exit()
x = p
ans = {(1, n): 2}
x -= 2
for i in range(2, n - 1):
	ans[1, i] = 1
	x -= 1
ans[1, n - 1] = x
edge = []
import itertools
for c in itertools.combinations(range(2, n + 1), 2):
	if len(edge) == m - (n - 1):
		break
	edge.append((c[0], c[1]))
for i in range(m - (n - 1)):
	(a, b) = edge[i]
	ans[a, b] = 10 ** 9
print(2, p)
for (k, v) in ans.items():
	k = list(k)
	temp = k + [v]
	print(*temp)


(n, m) = map(int, input().split())
if n == 2:
	print(2, 2)
	print(1, 2, 2)
	exit(0)
SMALL_PRIME = 2
BIG_PRIME = 86028121
print(SMALL_PRIME, BIG_PRIME)
print(1, n, SMALL_PRIME)
some_value = BIG_PRIME // (n - 2)
for i in range(2, n - 1):
	print(1, i, some_value)
to_be_prime = BIG_PRIME - (some_value * (n - 3) + SMALL_PRIME)
print(1, n - 1, to_be_prime)
total = n - 1
for i in range(2, n + 1):
	for j in range(i, n + 1):
		if total == m:
			exit(0)
		if i == j:
			continue
		print(i, j, BIG_PRIME + 7)
		total += 1


(n, m) = map(int, input().split())
p = 524287
print(2, p if m > 1 else 2)
for i in range(2, n + 1):
	w = 1
	if i == 2:
		w = p - n + 1
	if i == n:
		w = 2
	print(1, i, w)
if m >= n:
	current = 2
	next = current + 1
	for i in range(0, m - n + 1):
		print(current, next, p)
		next += 1
		if next > n:
			current += 1
			next = current + 1


p = 433494437
line = input().split()
n = int(line[0])
m = int(line[1])
su = p
edges = []
edges.append([1, n, 2])
su -= 2
for i in range(2, n - 1):
	edges.append([1, i, 3])
	su -= 3
if n != 2:
	edges.append([1, n - 1, su])
m -= n - 1
for i in range(2, n):
	if m == 0:
		break
	for j in range(i + 1, n + 1):
		if m == 0:
			break
		edges.append([i, j, su + 1])
		m -= 1
if n != 2:
	print('2 ' + str(p))
else:
	print('2 2')
for e in edges:
	print(str(e[0]) + ' ' + str(e[1]) + ' ' + str(e[2]))


(n, m) = map(int, input().split())
print(str(100003) + ' ' + str(100003))
for i in range(1, n):
	if i != n - 1:
		print(str(i) + ' ' + str(i + 1) + ' ' + str(1))
	else:
		print(str(i) + ' ' + str(i + 1) + ' ' + str(100003 - (n - 2)))
if m != n - 1:
	ok = 0
	for i in range(1, n + 1):
		for j in range(i + 2, n + 1):
			print(str(i) + ' ' + str(j) + ' ' + str(1000000000))
			m -= 1
			if m == n - 1:
				ok = 1
				break
		if ok == 1:
			break


import math

def judge(x):
	if x == 1:
		return False
	for i in range(2, min(x, int(math.sqrt(x)) + 2)):
		if x % i == 0:
			return False
	return True
(n, m) = map(int, input().split())
p = n - 1 if m > n - 1 else n
while not judge(p):
	p += 1
k = p - (n - 1)
print(2, p)
print(1, n, 2)
m -= 1
if n > 2:
	if m == n - 2:
		k -= 1
		for i in range(1, n - 1):
			if i <= k:
				print(i, i + 1, 2)
				m -= 1
			else:
				print(i, i + 1, 1)
				m -= 1
	else:
		for i in range(1, n):
			if i <= k:
				print(i, i + 1, 2)
				m -= 1
			else:
				print(i, i + 1, 1)
				m -= 1
		if m > 0:
			for i in range(1, n + 1):
				for j in range(i + 2, n + 1):
					if not (i == 1 and j == n):
						print(i, j, 3)
						m -= 1
						if m == 0:
							break
				if m == 0:
					break


(n, m) = map(int, input().split())
x = 0
for i in range(n, 2 * n):
	r = 0
	for j in range(2, int(i ** 0.5 + 1)):
		if i % j == 0:
			r = 1
			break
	if r == 0:
		x = i
		break
a = [[] for i in range(n + 1)]
for i in range(1, n - 1):
	a[i].append((i + 1, 1))
a[n - 1].append((n, x - (n - 2)))
j = 1
l = 3
for i in range(n, m + 1):
	a[j].append((l, 10 ** 9))
	l += 1
	if l == n + 1:
		j += 1
		l = j + 2
print(x, x)
for i in range(1, n + 1):
	for j in range(len(a[i])):
		print(i, a[i][j][0], a[i][j][1])


from math import sqrt, ceil

def is_prime(n):
	if n == 1:
		return False
	for i in range(2, int(ceil(sqrt(n))) + 1):
		if n % i == 0:
			return False
	return True

def main():
	INF = int(1000000000.0)
	(n, m) = map(int, input().split())
	edges = n - 1
	closest_prime = edges
	while not is_prime(closest_prime):
		closest_prime += 1
	average = closest_prime // edges
	print(closest_prime, closest_prime)
	for i in range(edges):
		if i == edges - 1:
			print(i + 1, i + 2, closest_prime)
			continue
		print(i + 1, i + 2, average)
		closest_prime -= average
	m -= edges
	for i in range(n):
		for j in range(i + 2, n):
			if not m:
				break
			print(i + 1, j + 1, INF)
			m -= 1
		if not m:
			break
main()


def is_prime(cur):
	if cur == 1:
		return False
	x = 2
	while x * x <= cur:
		if cur % x == 0:
			return False
		x += 1
	return True
(n, m) = map(int, input().split())
cur = n - 1
while is_prime(cur) == False:
	cur += 1
print(cur, cur)
for i in range(1, n):
	if i != n - 1:
		print(i, i + 1, 1)
	else:
		print(i, i + 1, cur - n + 2)
x = 1
y = 3
m -= n - 1
for i in range(1, m + 1):
	print(x, y, cur + 1)
	y += 1
	if y > n:
		x += 1
		y = x + 2


(n, m) = map(int, input().split())

def is_prime(num):
	for x in range(2, int(num ** 0.5) + 1):
		if num % x == 0:
			return False
	return True
adj = [[] for i in range(n)]
p = n
while not is_prime(p):
	p += 1
adj[0].append((1, 2 + p - n))
for i in range(1, n - 1):
	adj[i].append((i + 1, 1))
m -= n - 1
for i in range(n - 2):
	if m == 0:
		break
	for j in range(i + 2, n):
		if m == 0:
			break
		adj[i].append((j, 10 ** 9))
		m -= 1
print(p, p)
for (i, row) in enumerate(adj):
	for (j, weight) in row:
		print(i + 1, j + 1, weight)


(n, m) = map(int, input().split())
print(str(16769023) + ' ' + str(16769023))
for i in range(1, n - 1):
	print(str(i) + ' ' + str(i + 1) + ' ' + str(1))
x = 16769023
print(str(n - 1) + ' ' + str(n) + ' ' + str(x - (n - 2)))
m = m - (n - 1)
for i in range(1, n + 1):
	if m != 0:
		ok = True
	else:
		ok = False
	for j in range(i + 1, n + 1):
		if i == j or i == j + 1 or j == i + 1:
			continue
		if ok == True:
			print(str(i) + ' ' + str(j) + ' ' + str(10 ** 8))
		m -= 1
		if m <= 0:
			ok = False
		if ok == False:
			break
	if ok == False:
		break


def sieve(n):
	p = 2
	while p * p <= n:
		if prime[p] == True:
			for i in range(p * p, n + 1, p):
				prime[i] = False
		p += 1
prime = [True for i in range(100003 + 1)]
sieve(100003)
prime[1] = False
(n, m) = map(int, input().split())
c = 0
ans = []
for i in range(n - 2):
	ans.append([i + 1, i + 2, 1])
	c += 1
c += 1
while prime[c] == False:
	c += 1
ans.append([n - 1, n, c - n + 2])
aa = 1
k = 3
for i in range(n - 1, m):
	ans.append([aa, k, 1000000])
	k += 1
	if k == n + 1:
		aa += 1
		k = aa + 2
print(c, c)
for i in ans:
	print(*i)


p = 524287
(n, m) = [int(x) for x in input().split()]
if n == 2:
	print(2, 2)
	print(1, 2, 2)
	exit(0)
print(2, p)
s = 2
print(1, n, 2)
for i in range(1, n - 2):
	s += 1
	print(1, i + 1, 1)
print(1, n - 1, p - s)
m -= n - 1
for i in range(2, n + 1):
	if m <= 0:
		break
	for j in range(i + 1, n + 1):
		if m <= 0:
			break
		print(i, j, 10 ** 9)
		m -= 1


(n, m) = map(int, input().split())
g = [[] for i in range(n)]
edges = []
for i in range(n - 1):
	edges.append([i, i + 1, 1])

def prime(k):
	if k == 1:
		return False
	import math
	for i in range(2, int(math.sqrt(k)) + 1):
		if k % i == 0:
			return False
	return True
p = n - 1
while not prime(p):
	p += 1
left = p - (n - 1)
cur = 0
while left > 0:
	edges[cur][2] += 1
	cur += 1
	cur %= n - 1
	left -= 1
mw = edges[0][2] + 1
left = m - (n - 1)
for i in range(n):
	if left == 0:
		break
	for j in range(i + 2, n):
		edges.append([i, j, mw * (j - i)])
		left -= 1
		if left == 0:
			break
	if left == 0:
		break
print(p, p)
for e in edges:
	print(' '.join([str(i) for i in [e[0] + 1, e[1] + 1, e[2]]]))


from sys import exit
(n, m) = [int(i) for i in input().split()]
inf = 10 ** 9
pr = 10 ** 8 + 7
print(pr, pr)
ch = 0
for i in range(n - 2):
	ch += 1
	print(i + 1, i + 2, 1)
print(n - 1, n, pr - n + 2)
ch += 1
for i in range(1, n):
	for j in range(i + 2, n + 1):
		if ch < m:
			print(i, j, inf)
			ch += 1
		else:
			exit(0)


def doit(n, m):
	if n == 2:
		print(2, 2)
		print(1, 2, 2)
		return
	sp = 2
	mstw = 100003
	print(sp, mstw)
	print(1, n, sp)
	print(2, n, mstw - n + 3 - sp)
	for i in range(3, n):
		print(i, n, 1)
	for i in range(2, n):
		for j in range(1, i):
			if m == n - 1:
				return
			print(i, j, mstw)
			m -= 1
(n, m) = input().split()
doit(int(n), int(m))


(n, m) = map(int, input().split())
p = 999983
print(p, p)
ans = list()

def to_ans(*arr):
	return ' '.join(map(str, arr))
if n == 2:
	print(1, 2, p)
	exit()
ans.append(to_ans(1, 2, 2))
for i in range(2, n - 1):
	ans.append(to_ans(i, i + 1, 1))
ans.append(to_ans(n - 1, n, p - (n - 1)))
x = n - 1
if x == m:
	print('\n'.join(ans))
	exit()
for i in range(1, n - 1):
	for j in range(i + 2, n + 1):
		ans.append(to_ans(i, j, 10 ** 8))
		x += 1
		if x == m:
			print('\n'.join(ans))
			exit()