You are given an undirected connected weighted graph with N vertices and M edges that contains neither self-loops nor double edges.

The i-th (1≤i≤M) edge connects vertex a_i and vertex b_i with a distance of c_i.

Here, a self-loop is an edge where a_i = b_i (1≤i≤M), and double edges are two edges where (a_i,b_i)=(a_j,b_j) or (a_i,b_i)=(b_j,a_j) (1≤i<j≤M).

A connected graph is a graph where there is a path between every pair of different vertices.

Find the number of the edges that are not contained in any shortest path between any pair of different vertices.  

-----Constraints-----
 - 2≤N≤100 
 - N-1≤M≤min(N(N-1)/2,1000) 
 - 1≤a_i,b_i≤N 
 - 1≤c_i≤1000
 - c_i is an integer.
 - The given graph contains neither self-loops nor double edges.
 - The given graph is connected.

-----Input-----
The input is given from Standard Input in the following format:
N M  
a_1 b_1 c_1  
a_2 b_2 c_2
:  
a_M b_M c_M  

-----Output-----
Print the number of the edges in the graph that are not contained in any shortest path between any pair of different vertices.

-----Sample Input-----
3 3
1 2 1
1 3 1
2 3 3

-----Sample Output-----
1

In the given graph, the shortest paths between all pairs of different vertices are as follows:
 - The shortest path from vertex 1 to vertex 2 is: vertex 1 → vertex 2, with the length of 1.
 - The shortest path from vertex 1 to vertex 3 is: vertex 1 → vertex 3, with the length of 1.
 - The shortest path from vertex 2 to vertex 1 is: vertex 2 → vertex 1, with the length of 1.
 - The shortest path from vertex 2 to vertex 3 is: vertex 2 → vertex 1 → vertex 3, with the length of 2.
 - The shortest path from vertex 3 to vertex 1 is: vertex 3 → vertex 1, with the length of 1.
 - The shortest path from vertex 3 to vertex 2 is: vertex 3 → vertex 1 → vertex 2, with the length of 2.
Thus, the only edge that is not contained in any shortest path, is the edge of length 3 connecting vertex 2 and vertex 3, hence the output should be 1.

Difficulty: MEDIUM_HARD

Solutions:
(n, m) = map(int, input().split())
graph = [[float('inf')] * (n + 1) for _ in range(n + 1)]
for i in range(m):
	(a, b, c) = map(int, input().split())
	graph[a][b] = c
	graph[b][a] = c

def dijkstra(s, cost):
	d = [float('inf')] * (n + 1)
	used = [False] * (n + 1)
	d[s] = 0
	while True:
		v = -1
		for i in range(1, n + 1):
			if not used[i] and v == -1:
				v = i
			elif not used[i] and d[i] < d[v]:
				v = i
		if v == -1:
			break
		used[v] = True
		for j in range(1, n + 1):
			d[j] = min(d[j], d[v] + cost[v][j])
	return d
ans = 0
for i in range(1, n):
	d = dijkstra(i, graph)
	for j in range(i + 1, n + 1):
		if i == j:
			continue
		if graph[i][j] != float('inf') and graph[i][j] > d[j]:
			ans += 1
print(ans)


(N, M) = map(int, input().split())
ABC = [tuple(map(int, input().split())) for i in range(M)]
INF = float('inf')
ds = [[INF] * N for _ in range(N)]
for i in range(N):
	ds[i][i] = 0
for (a, b, c) in ABC:
	(a, b) = (a - 1, b - 1)
	ds[a][b] = ds[b][a] = c
for k in range(N):
	for i in range(N):
		for j in range(N):
			ds[i][j] = min(ds[i][j], ds[i][k] + ds[k][j])
ans = 0
for (a, b, c) in ABC:
	(a, b) = (a - 1, b - 1)
	if c != ds[a][b]:
		ans += 1
print(ans)


(N, M) = map(int, input().split())
INF = 10 ** 10
graph = [[INF for _ in range(N)] for _ in range(N)]
C = []
for i in range(M):
	(a, b, c) = map(int, input().split())
	graph[a - 1][b - 1] = c
	graph[b - 1][a - 1] = c
	C.append([a - 1, b - 1, c])
cnt = 0
for k in range(N):
	for i in range(N):
		for j in range(N):
			if i == j:
				graph[i][j] = 0
				continue
			graph[i][j] = min(graph[i][j], graph[i][k] + graph[k][j])
ans = M
for (u, v, w) in C:
	Flg = False
	for i in range(N):
		if graph[i][v] + w == graph[i][u]:
			Flg = True
	if Flg:
		ans -= 1
print(ans)


(N, M) = list(map(int, input().split()))
E = set()
d = [[10 ** 9] * N for k in range(N)]
for k in range(N):
	d[k][k] = 0
for k in range(M):
	(a, b, c) = list(map(int, input().split()))
	E.add((a - 1, b - 1, c))
	d[a - 1][b - 1] = c
	d[b - 1][a - 1] = c
for k in range(N):
	for i in range(N):
		for j in range(N):
			if d[i][j] > d[i][k] + d[k][j]:
				d[i][j] = d[i][k] + d[k][j]
ans = 0
for e in E:
	if d[e[0]][e[1]] != e[2]:
		ans += 1
print(ans)


import heapq

def dijkstra(n, s, g):
	h = [(0, s)]
	heapq.heapify(h)
	cost = [float('Inf')] * (n + 1)
	cost[s] = 0
	while h:
		(c, v) = heapq.heappop(h)
		if c > cost[v]:
			continue
		for (d, u) in g[v]:
			d_s_u = d + cost[v]
			if d_s_u < cost[u]:
				cost[u] = d_s_u
				heapq.heappush(h, (d_s_u, u))
	return cost

def main():
	(n, m, *abc) = list(map(int, open(0).read().split()))
	g = [[] for _ in range(n + 1)]
	for (a, b, c) in zip(*[iter(abc)] * 3):
		g[a].append([c, b])
		g[b].append([c, a])
	ans = 0
	for i in range(1, n + 1):
		cost = dijkstra(n, i, g)
		for (j, k) in g[i]:
			if j > cost[k]:
				ans += 1
	print(ans // 2)

def __starting_point():
	main()
__starting_point()


(N, M) = list(map(int, input().split()))
from collections import deque
v = [deque([]) for _ in range(N)]
for i in range(M):
	(a, b, c) = list(map(int, input().split()))
	(a, b) = (a - 1, b - 1)
	v[a].append([b, c])
	v[b].append([a, c])
s = deque([])
for i in range(N):
	ls = [[-1, M * 10000]] * N
	ls[i] = [-1, 0]
	q = [deque((j for j in k)) for k in v]
	l = deque([i])
	while l:
		u = l.popleft()
		x = len(q[u])
		for i in range(x):
			e = q[u].popleft()
			if ls[u][1] + e[1] < ls[e[0]][1]:
				ls[e[0]] = [u, ls[u][1] + e[1]]
				l.append(e[0])
			q[u].append(e)
	for (j, e) in enumerate(ls):
		if e[0] != -1:
			s.append([min(j, e[0]), max(j, e[0])])
s = list(map(list, set(map(tuple, s))))
print(M - len(s))


(N, M) = list(map(int, input().split()))
d = [[1000000] * N for _ in range(N)]
d_dict = {}
inf = 0
for i in range(M):
	(a, b, c) = list(map(int, input().split()))
	d[a - 1][b - 1] = c
	d[b - 1][a - 1] = c
	d_dict[a - 1, b - 1] = c
for k in range(N):
	for i in range(N):
		for j in range(N):
			d[i][j] = min(d[i][j], d[i][k] + d[k][j])
ans = 0
for key in d_dict:
	if d[key[0]][key[1]] < d_dict[key]:
		ans += 1
print(ans)


def warshall_floyd(d):
	for k in range(n):
		for i in range(n):
			for j in range(n):
				d[i][j] = min(d[i][j], d[i][k] + d[k][j])
	return d
(n, w) = map(int, input().split(' '))
a = []
d = [[10 ** 10] * n for i in range(n)]
k = [n for i in range(n)]
for i in range(w):
	(x, y, z) = map(int, input().split(' '))
	d[x - 1][y - 1] = z
	d[y - 1][x - 1] = z
	a.append([x, y, z])
for i in range(n):
	d[i][i] = 0
d = warshall_floyd(d)
ans = w
for i in range(len(a)):
	for s in range(n):
		if d[s][a[i][1] - 1] + a[i][2] == d[s][a[i][0] - 1]:
			ans -= 1
			break
print(ans)


(N, M) = list(map(int, input().split()))
INF = 10 ** 7
dist = [[INF for j in range(N)] for i in range(N)]
d = [[INF for j in range(N)] for i in range(N)]
prev = [[i for j in range(N)] for i in range(N)]
t = [[0 for j in range(N)] for i in range(N)]
for i in range(N):
	d[i][i] = 0
	dist[i][i] = 0
for _ in range(M):
	(a, b, c) = list(map(int, input().split()))
	dist[a - 1][b - 1] = c
	dist[b - 1][a - 1] = c
	d[a - 1][b - 1] = c
	d[b - 1][a - 1] = c

def warshall_floyd(n):
	for k in range(n):
		for i in range(n):
			for j in range(n):
				d[i][j] = min(d[i][j], d[i][k] + d[k][j])
warshall_floyd(N)
ans = 0
for i in range(N):
	for j in range(N):
		if dist[i][j] != INF and d[i][j] != dist[i][j]:
			ans += 1
print(ans // 2)


(N, M) = map(int, input().split())
graph = [[] for _ in range(N)]
cost = [[float('inf')] * N for _ in range(N)]
for _ in range(M):
	(a, b, c) = map(int, input().split())
	graph[a - 1].append(b - 1)
	graph[b - 1].append(a - 1)
	cost[a - 1][b - 1] = c
	cost[b - 1][a - 1] = c

def dijkstra(S, N, cost):
	d = [float('inf')] * N
	used = [False] * N
	d[S] = 0
	while True:
		v = -1
		for i in range(N):
			if not used[i] and v == -1:
				v = i
			elif not used[i] and d[i] < d[v]:
				v = i
		if v == -1:
			break
		used[v] = True
		for j in range(N):
			d[j] = min(d[j], d[v] + cost[v][j])
	return d
dist = []
for s in range(N):
	dist.append(dijkstra(s, N, cost))
checked = [[False] * N for _ in range(N)]
ans = M
for s in range(N):
	for i in range(s, N):
		for j in graph[i]:
			if checked[i][j]:
				continue
			if dist[s][i] + cost[i][j] == dist[s][j]:
				ans -= 1
				checked[i][j] = True
				checked[j][i] = True
print(ans)


import heapq

def main():
	(N, M) = list(map(int, input().split()))
	G = [[] for _ in range(N)]
	for _ in range(M):
		(a, b, c) = list(map(int, input().split()))
		G[a - 1].append((b - 1, c))
		G[b - 1].append((a - 1, c))
	used = set()
	for i in range(N):
		H = []
		for (b, c) in G[i]:
			heapq.heappush(H, (c, i, b))
		D = [10 ** 10] * N
		D[i] = 0
		while H:
			(c, a, b) = heapq.heappop(H)
			if D[b] < c:
				continue
			D[b] = c
			if a < b:
				used.add((a, b))
			else:
				used.add((b, a))
			for (d, cc) in G[b]:
				if D[d] > c + cc:
					D[d] = c + cc
					heapq.heappush(H, (c + cc, b, d))
	return M - len(used)
print(main())


(n, m) = map(int, input().split())
g = [[] for _ in range(n)]
for i in range(m):
	(a, b, c) = map(int, input().split())
	(a, b) = (a - 1, b - 1)
	g[a].append((c, b, i))
	g[b].append((c, a, i))
no_used = [1] * m
from heapq import heapify, heappop, heappush

def dks(t0):
	todo = [[0, t0, -1]]
	heapify(todo)
	seen = [0] * n
	while todo:
		(d, t, i) = heappop(todo)
		if seen[t] and seen[t] < d:
			continue
		seen[t] = d
		if i > -1:
			no_used[i] = 0
		l = g[t]
		for (d_, t_, i_) in l:
			heappush(todo, [d + d_, t_, i_])
for i in range(n):
	dks(i)
print(sum(no_used))


(n, m) = map(int, input().split())
INF = 10 ** 18
d = [[INF] * n for _ in range(n)]
for i in range(n):
	d[i][i] = 0
A = [0] * m
B = [0] * m
C = [0] * m
for i in range(m):
	(a, b, c) = map(int, input().split())
	a -= 1
	b -= 1
	A[i] = a
	B[i] = b
	C[i] = c
	d[a][b] = c
	d[b][a] = c
for k in range(n):
	for i in range(n):
		for j in range(n):
			d[i][j] = min(d[i][j], d[i][k] + d[k][j])
ans = 0
for i in range(m):
	if d[A[i]][B[i]] < C[i]:
		ans += 1
print(ans)


def dijkstra(s):
	import heapq
	dist = [inf for i in range(n)]
	dist[s] = 0
	mirai = [True for i in range(n)]
	mirai[s] = False
	queue = []
	for (kyori, to) in G[s]:
		heapq.heappush(queue, kyori * 10 ** 6 + to)
	while queue:
		minedge = heapq.heappop(queue)
		if not mirai[minedge % 10 ** 6]:
			continue
		v = minedge % 10 ** 6
		dist[v] = minedge // 10 ** 6
		mirai[v] = False
		for (kyori, to) in G[v]:
			if mirai[to]:
				heapq.heappush(queue, (kyori + dist[v]) * 10 ** 6 + to)
	return dist
(n, m) = list(map(int, input().split()))
inf = 10 ** 10
G = [[] for i in range(n)]
HEN = []
for i in range(m):
	(a, b, c) = list(map(int, input().split()))
	a -= 1
	b -= 1
	G[a].append((c, b))
	G[b].append((c, a))
	HEN.append((a, b, c))
MIN = [[10 ** 10] * n for i in range(n)]
for i in range(n):
	MIN[i] = dijkstra(i)
ans = 0
for (a, b, c) in HEN:
	for s in range(n):
		if MIN[s][a] + c == MIN[s][b]:
			break
		if MIN[s][b] + c == MIN[s][a]:
			break
	else:
		ans += 1
print(ans)


import sys
read = sys.stdin.read
readline = sys.stdin.readline
readlines = sys.stdin.readlines
sys.setrecursionlimit(10 ** 9)
INF = 1 << 60
MOD = 1000000007

def main():
	(N, M, *ABC) = list(map(int, read().split()))
	G = [[INF] * N for _ in range(N)]
	edge = [0] * M
	for (i, (a, b, c)) in enumerate(zip(*[iter(ABC)] * 3)):
		edge[i] = (a - 1, b - 1, c)
		G[a - 1][b - 1] = G[b - 1][a - 1] = c
	for i in range(N):
		G[i][i] = 0
	for k in range(N):
		for i in range(N):
			for j in range(N):
				if G[i][j] > G[i][k] + G[k][j]:
					G[i][j] = G[i][k] + G[k][j]
	ans = 0
	for (a, b, c) in edge:
		if c > G[a][b]:
			ans += 1
	print(ans)
	return

def __starting_point():
	main()
__starting_point()


import heapq

def dijkstra(s):
	inf = 1145141919810
	dist = [inf] * v
	dist[s] = 0
	c = [0] * v
	p = []
	heapq.heapify(p)
	heapq.heappush(p, (dist[s], s))
	while p:
		(d, u) = heapq.heappop(p)
		if dist[u] < d:
			continue
		c[u] = 1
		for g in G[u]:
			if c[g[0]] == 0 and dist[u] + g[1] < dist[g[0]]:
				dist[g[0]] = dist[u] + g[1]
				heapq.heappush(p, (dist[g[0]], g[0]))
	return dist
(n, m) = map(int, input().split())
v = n
G = [[] for _ in range(v)]
E = []
for _ in range(m):
	(a, b, c) = map(int, input().split())
	a -= 1
	b -= 1
	G[a].append([b, c])
	G[b].append([a, c])
	E.append([a, b, c])
mindist = [dijkstra(i) for i in range(v)]
ans = m
for e in E:
	for i in range(n):
		if mindist[i][e[0]] - mindist[i][e[1]] == e[2]:
			ans -= 1
			break
print(ans)


(n, m) = map(int, input().split())
abc = [list(map(int, input().split())) for _ in range(m)]
edge = set()
INF = float('inf')
cost = [[INF] * n for _ in range(n)]
for i in range(n):
	cost[i][i] = 0
for (a, b, c) in abc:
	(a, b) = (a - 1, b - 1)
	cost[a][b] = c
	cost[b][a] = c
	edge.add((a, b, c))
for k in range(n):
	for i in range(n):
		for j in range(n):
			cost[i][j] = min(cost[i][j], cost[i][k] + cost[k][j])
ans = 0
for (a, b, c) in edge:
	if cost[a][b] < c:
		ans += 1
print(ans)


from heapq import heappush, heappop
(N, M) = map(int, input().split())
INF = 10 ** 10
edge_idx = {}
graph = [[] for i in range(N)]
for i in range(M):
	(a, b, c) = map(int, input().split())
	a -= 1
	b -= 1
	graph[a].append((b, c))
	graph[b].append((a, c))
	edge_idx[a, b] = edge_idx[b, a] = i
used = set()

def dijkstra(node):
	nonlocal used
	dist = [INF] * N
	dist[node] = 0
	e = []
	for (child, cost) in graph[node]:
		heappush(e, (cost, child, node))
	while e:
		(cost, node, par) = heappop(e)
		if dist[node] < INF:
			if dist[node] == cost:
				used.add(edge_idx[node, par])
			continue
		dist[node] = cost
		used.add(edge_idx[node, par])
		for (child, c) in graph[node]:
			if dist[child] < INF:
				continue
			heappush(e, (cost + c, child, node))
for i in range(N):
	dijkstra(i)
print(M - len(used))


def warshall_floyd(d):
	for k in range(n):
		for i in range(n):
			for j in range(n):
				d[i][j] = min(d[i][j], d[i][k] + d[k][j])
	return d
(n, m) = map(int, input().split())
d = [[float('inf')] * n for i in range(n)]
edge = []
for i in range(m):
	(x, y, c) = map(int, input().split())
	x -= 1
	y -= 1
	edge.append((x, y, c))
	d[x][y] = c
	d[y][x] = c
for i in range(n):
	d[i][i] = 0
d = warshall_floyd(d)
ans = 0
for (x, y, c) in edge:
	if d[x][y] < c:
		ans += 1
print(ans)


(N, M) = map(int, input().split())
d = [[10 ** 10] * N for i in range(N)]
a = [0] * M
b = [0] * M
c = [0] * M
for i in range(M):
	(a[i], b[i], c[i]) = map(int, input().split())
	a[i] -= 1
	b[i] -= 1
	d[a[i]][b[i]] = c[i]
	d[b[i]][a[i]] = c[i]
for i in range(N):
	d[i][i] = 0
for i in range(N):
	for j in range(N):
		for k in range(N):
			d[j][k] = min(d[j][k], d[j][i] + d[i][k])
ans = M
for i in range(M):
	tmp = 0
	for j in range(N):
		if d[j][a[i]] + c[i] == d[j][b[i]]:
			tmp = 1
	ans -= tmp
print(ans)


import sys
(N, M) = map(int, input().split())
memo = [[sys.maxsize] * (N + 1) for _ in range(N + 1)]
for i in range(1, N + 1):
	memo[i][i] = 0
lst = []
for _ in range(M):
	(a, b, c) = map(int, input().split())
	memo[a][b] = c
	memo[b][a] = c
	lst.append((a, b, c))
for k in range(1, N + 1):
	for i in range(1, N + 1):
		for j in range(1, N + 1):
			memo[i][j] = min(memo[i][j], memo[i][k] + memo[k][j])
cnt = 0
for (a, b, c) in lst:
	if memo[a][b] < c:
		cnt += 1
print(cnt)


(N, M) = map(int, input().split())
DP = [[float('inf')] * N for _ in range(N)]
B = []
for i in range(N):
	DP[i][i] = 0
for _ in range(M):
	(a, b, c) = map(int, input().split())
	DP[a - 1][b - 1] = c
	DP[b - 1][a - 1] = c
	B.append([a - 1, b - 1, c])
for k in range(N):
	for i in range(N):
		for j in range(N):
			DP[i][j] = min(DP[i][j], DP[i][k] + DP[k][j])
ans = 0
for i in range(M):
	(a, b, c) = B[i]
	for j in range(N):
		if DP[j][b] == DP[j][a] + c:
			break
	else:
		ans += 1
print(ans)


(n, m) = map(int, input().split())
graph = [[10 ** 9 for _ in range(n)] for _ in range(n)]
edge = []
for _ in range(m):
	(a, b, c) = map(int, input().split())
	a -= 1
	b -= 1
	graph[a][b] = c
	graph[b][a] = c
	edge.append((a, b))
for i in range(n):
	graph[i][i] = 0
from copy import deepcopy
distance = deepcopy(graph)
for k in range(n):
	for i in range(n):
		for j in range(n):
			distance[i][j] = min(distance[i][j], distance[i][k] + distance[k][j])
ans = 0
for (i, j) in edge:
	if distance[i][j] < graph[i][j]:
		ans += 1
print(ans)


import sys

def input():
	return sys.stdin.readline().strip()
sys.setrecursionlimit(20000000)

def main():
	(N, M) = list(map(int, input().split()))
	S = []
	d = [[float('inf')] * N for _ in range(N)]
	L = []
	for i in range(M):
		(a, b, c) = list(map(int, input().split()))
		d[a - 1][b - 1] = c
		d[b - 1][a - 1] = c
		if a < b:
			L.append((a - 1, b - 1))
		else:
			L.append((b - 1, a - 1))
	for i in range(N):
		d[i][i] = 0
	L = set(L)

	def warshall_floyd(d):
		for k in range(N):
			for i in range(N):
				for j in range(N):
					if d[i][j] > d[i][k] + d[k][j]:
						d[i][j] = d[i][k] + d[k][j]
						if i < j:
							if (i, j) in L:
								S.append((i, j))
						elif (j, i) in L:
							S.append((j, i))
		return d
	warshall_floyd(d)
	print(len(set(S)))

def __starting_point():
	main()
__starting_point()


import heapq
INF = float('inf')
(N, M) = list(map(int, input().split()))
to = [[] for _ in range(N)]
sides = [[0] * N for _ in range(N)]
for _ in range(M):
	(a, b, c) = list(map(int, input().split()))
	(a, b) = (a - 1, b - 1)
	to[a].append((c, b))
	to[b].append((c, a))
	sides[a][b] = 1
	sides[b][a] = 1

def dijkstra(s):
	hq = [(0, s)]
	heapq.heapify(hq)
	cost = [[INF, []] for i in range(N)]
	cost[s][0] = 0
	while hq:
		(c, v) = heapq.heappop(hq)
		if c > cost[v][0]:
			continue
		for (d, u) in to[v]:
			tmp = d + cost[v][0]
			if tmp < cost[u][0]:
				cost[u][0] = tmp
				cost[u][1] = [v]
				heapq.heappush(hq, (tmp, u))
			elif tmp == cost[u][0]:
				cost[u][1].append(v)
				heapq.heappush(hq, (tmp, u))
	return cost

def dfs(v, tree, p=-1):
	if p >= 0:
		sides[v][p] = 0
		sides[p][v] = 0
	for nv in tree[v][1]:
		dfs(nv, tree, v)

def main():
	for s in range(N):
		tree = dijkstra(s)
		for g in range(N):
			dfs(g, tree)
	print(sum((sum(column) for column in sides)) // 2)

def __starting_point():
	main()
__starting_point()


import heapq
import sys
sys.setrecursionlimit(10 ** 6)
INF = float('inf')
MOD = 10 ** 9 + 7

def input():
	return sys.stdin.readline().strip()

def main():
	(N, M) = list(map(int, input().split()))
	dp = [[float('inf')] * N for _ in range(N)]
	edges = list()
	for i in range(N):
		dp[i][i] = 0
	for _ in range(M):
		(a, b, c) = list(map(int, input().split()))
		a -= 1
		b -= 1
		dp[a][b] = c
		dp[b][a] = c
		if a > b:
			(a, b) = (b, a)
		edges.append((a, b, c))
	for k in range(N):
		for i in range(N):
			for j in range(N):
				tmp = dp[i][k] + dp[k][j]
				if tmp < dp[i][j]:
					dp[i][j] = tmp
	ans = 0
	for (i, j, c) in edges:
		if dp[i][j] < c:
			ans += 1
	print(ans)

def __starting_point():
	main()
__starting_point()


def main():
	import sys
	readlines = sys.stdin.readlines
	(N, M) = list(map(int, input().split()))
	edge = []
	dp = [[10 ** 9] * N for _ in range(N)]
	for i in range(N):
		dp[i][i] = 0
	for s in readlines():
		(a, b, c) = list(map(int, s.split()))
		a -= 1
		b -= 1
		edge.append((a, b, c))
		dp[a][b] = c
		dp[b][a] = c
	for k in range(N):
		for i in range(N):
			for j in range(N):
				dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j])
	cnt = 0
	for (a, b, c) in edge:
		if dp[a][b] < c:
			cnt += 1
	print(cnt)

def __starting_point():
	main()
__starting_point()


import copy
(N, M) = list(map(int, input().split()))
inf = 10 ** 9 + 7
dp = [[inf] * N for _ in range(N)]
for _ in range(M):
	(a, b, c) = list(map(int, input().split()))
	a -= 1
	b -= 1
	dp[a][b] = c
	dp[b][a] = c
old_dp = copy.deepcopy(dp)
check = [[False] * N for _ in range(N)]
count = 0
for k in range(N):
	for i in range(N):
		for j in range(N):
			dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j])
count = 0
for i in range(N):
	for j in range(N):
		if old_dp[i][j] != dp[i][j] and old_dp[i][j] != inf:
			count += 1
print(count // 2)


def main():
	import sys
	input = sys.stdin.readline
	inf = 1000 * 100 + 10
	(N, M) = list(map(int, input().split()))
	dist = [[inf for _ in range(N)] for _ in range(N)]
	for j in range(N):
		dist[j][j] = 0
	es = []
	for _ in range(M):
		(a, b, c) = list(map(int, input().split()))
		a -= 1
		b -= 1
		es.append((a, b, c))
		dist[a][b] = dist[b][a] = c
	for k in range(N):
		for j in range(N):
			for i in range(j):
				d = dist[i][k] + dist[k][j]
				if dist[i][j] > d:
					dist[i][j] = dist[j][i] = d
	ans = 0
	for (a, b, c) in es:
		if dist[a][b] == c:
			continue
		ans += 1
	print(ans)

def __starting_point():
	main()
__starting_point()


(n, m) = map(int, input().split())
graph = [[float('inf')] * n for i in range(n)]
u_s = []
v_s = []
w_s = []
for _ in range(m):
	(u, v, w) = map(int, input().split())
	u_s.append(u - 1)
	v_s.append(v - 1)
	w_s.append(w)
	graph[u - 1][v - 1] = w
	graph[v - 1][u - 1] = w
for i in range(n):
	graph[i][i] = 0

def warshall_floyd(d):
	for k in range(n):
		for i in range(n):
			for j in range(n):
				d[i][j] = min(d[i][j], d[i][k] + d[k][j])
	return d
dist = warshall_floyd(graph)
ans = 0
for i in range(m):
	if w_s[i] > dist[u_s[i]][v_s[i]]:
		ans += 1
print(ans)


from heapq import heappush, heappop
INF = 10 ** 20

def dijkstra(G, start=0):
	d = [INF for i in range(len(G))]
	d[start] = 0
	prev = [0 for i in range(len(G))]
	que = []
	heappush(que, (0, start))
	while len(que) != 0:
		p = heappop(que)
		v = p[1]
		if d[v] < p[0]:
			continue
		for u in G[v].keys():
			if d[u] > d[v] + G[v][u]:
				d[u] = d[v] + G[v][u]
				prev[u] = v
				heappush(que, (d[u], u))
	return (d, prev)
(N, M) = map(int, input().split())
G = [{} for _ in range(N + 1)]
edgelist = []
for i in range(M):
	(a, b, c) = map(int, input().split())
	G[a][b] = G[b][a] = c
	(a, b) = sorted([a, b])
	edgelist.append((a, b))
edgelist = set(edgelist)
shortest_edges = set()
for i in range(1, N + 1):
	(d, prev) = dijkstra(G, i)
	for j in range(1, N + 1):
		if j == i:
			continue
		(a, b) = sorted([j, prev[j]])
		shortest_edges.add((a, b))
diff = edgelist.difference(shortest_edges)
print(len(diff))


(N, M) = map(int, input().split())
INF = float('inf')
edges = []
for _ in range(M):
	edges.append(list(map(int, input().split())))
graph = [[INF if i != j else 0 for i in range(N)] for j in range(N)]
for i in range(M):
	(a, b, c) = edges[i]
	graph[a - 1][b - 1] = c
	graph[b - 1][a - 1] = c
for k in range(N):
	for i in range(N):
		for j in range(N):
			graph[i][j] = min(graph[i][j], graph[i][k] + graph[k][j])
ans = 0
for i in range(M):
	(a, b, c) = edges[i]
	if c != graph[a - 1][b - 1]:
		ans += 1
print(ans)


from heapq import heappop, heappush
from copy import deepcopy

def main():
	(N, M) = map(int, input().split())
	INF = 10 ** 9
	to = [[INF] * N for _ in range(N)]
	edges = []
	for _ in range(M):
		(a, b, c) = map(int, input().split())
		a -= 1
		b -= 1
		to[a][b] = c
		to[b][a] = c
		edges.append((a, b, c))
	for i in range(N):
		to[i][i] = 0

	def floyd_warshall():
		for k in range(N):
			for i in range(N):
				for j in range(N):
					to[i][j] = min(to[i][j], to[i][k] + to[k][j])
	floyd_warshall()
	ans = 0
	for (a, b, c) in edges:
		if to[a][b] != c:
			ans += 1
	print(ans)

def __starting_point():
	main()
__starting_point()


def main():
	from sys import stdin

	def input():
		return stdin.readline().strip()
	(n, m) = map(int, input().split())
	tree = [[] for _ in range(n)]
	for _ in range(m):
		(i, j, k) = map(int, input().split())
		i -= 1
		j -= 1
		tree[i].append((k, j))
		tree[j].append((k, i))
	import heapq
	from numpy import zeros
	ans = 0
	for i in range(n):
		for j in tree[i]:
			seen = zeros(n)
			goal = j[1]
			base = j[0]
			seen[i] = 1
			todo = []
			heapq.heapify(todo)
			for k in tree[i]:
				if k[0] < base and k != j:
					heapq.heappush(todo, k)
			while len(todo) > 0:
				k = heapq.heappop(todo)
				if k[1] == goal:
					if k[0] < base:
						ans += 1
					break
				seen[k[1]] = 1
				for l in tree[k[1]]:
					if seen[l[1]] == 0 and k[0] + l[0] < base:
						heapq.heappush(todo, (k[0] + l[0], l[1]))
	print(ans // 2)
main()


def main():
	import sys
	input = sys.stdin.readline
	sys.setrecursionlimit(10 ** 7)
	from collections import Counter, deque
	from itertools import combinations, permutations, accumulate, groupby
	from bisect import bisect_left, bisect_right
	from heapq import heapify, heappop, heappush
	from math import floor, ceil
	inf = 10 ** 17
	(N, W) = map(int, input().split())
	dp = [[inf] * N for _ in range(N)]
	for i in range(N):
		dp[i][i] = 0
	abc = [list(map(int, input().split())) for _ in range(W)]
	for (a, b, c) in abc:
		dp[a - 1][b - 1] = c
		dp[b - 1][a - 1] = c
	for k in range(N):
		for i in range(N):
			for j in range(N):
				if dp[i][k] == inf or dp[k][j] == inf:
					continue
				dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j])
	res = 0
	for (a, b, c) in abc:
		for k in range(N):
			if dp[a - 1][k] == c + dp[b - 1][k]:
				res += 1
				break
	print(W - res)

def __starting_point():
	main()
__starting_point()


(N, M) = map(int, input().split())
edges = [tuple(map(int, input().split())) for _ in range(M)]
edges = [(i - 1, j - 1, c) for (i, j, c) in edges]
INF = int(10000)
dp = [[INF for _ in range(N)] for _ in range(N)]
for (i, j, cost) in edges:
	dp[i][j] = cost
	dp[j][i] = cost
for i in range(N):
	dp[i][i] = 0
for k in range(N):
	for i in range(N):
		for j in range(N):
			if dp[i][k] != INF and dp[k][j] != INF:
				dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j])
count = 0
for (i, j, cost) in edges:
	if dp[i][j] < cost:
		count += 1
print(count)


def main():
	(n, m, *abc) = list(map(int, open(0).read().split()))
	d = [[float('Inf')] * (n + 1) for _ in range(n + 1)]
	for i in range(1, n + 1):
		d[i][i] = 0
	for (a, b, c) in zip(*[iter(abc)] * 3):
		d[a][b] = c
		d[b][a] = c
	for k in range(1, n + 1):
		for i in range(1, n + 1):
			for j in range(1, n + 1):
				d[i][j] = min(d[i][j], d[i][k] + d[k][j])
	ans = 0
	for (a, b, c) in zip(*[iter(abc)] * 3):
		if d[a][b] < c:
			ans += 1
	print(ans)

def __starting_point():
	main()
__starting_point()


(n, m) = map(int, input().split())
INF = float('inf')
g = [[INF] * n for _ in range(n)]
e = []
for i in range(m):
	(vi, vj, w) = map(int, input().split())
	g[vi - 1][vj - 1] = w
	g[vj - 1][vi - 1] = w
	e.append((vi - 1, vj - 1, w))
for k in range(n):
	for i in range(n):
		for j in range(n):
			g[i][j] = min(g[i][j], g[i][k] + g[k][j])
cnt = 0
for (x, y, z) in e:
	if g[x][y] < z:
		cnt += 1
print(cnt)


import networkx as nx
import itertools
(N, M) = map(int, input().split())
G = nx.Graph()
G.add_weighted_edges_from([map(int, input().split()) for _ in range(M)])
S = nx.floyd_warshall(G)
ans = M
for (i, j, d) in G.edges(data=True):
	for (s, t) in itertools.combinations(G.nodes(), 2):
		if S[s][i] + d['weight'] + S[j][t] == S[s][t]:
			ans -= 1
			break
print(ans)


(N, M) = (int(x) for x in input().split())
graph = [[1000] * N for _ in range(N)]
before = []
for _ in range(M):
	(a, b, c) = (int(x) for x in input().split())
	before.append((a - 1, b - 1, c))
	graph[a - 1][b - 1] = c
	graph[b - 1][a - 1] = c
for i in range(N):
	graph[i][i] = 0
for k in range(N):
	for i in range(N):
		for j in range(N):
			graph[j][i] = graph[i][j] = min(graph[i][j], graph[i][k] + graph[k][j])
ans = 0
for x in before:
	if graph[x[0]][x[1]] != x[2]:
		ans += 1
print(ans)


def warshall_floyd(d):
	for k in range(n):
		for i in range(n):
			for j in range(n):
				d[i][j] = min(d[i][k] + d[k][j], d[i][j])
	return d
(n, m) = list(map(int, input().split()))
d = [[float('INF')] * n for i in range(n)]
hen = [0] * m
for i in range(m):
	(x, y, z) = list(map(int, input().split()))
	d[x - 1][y - 1] = z
	d[y - 1][x - 1] = z
	hen[i] = [x - 1, y - 1, z]
for i in range(n):
	d[i][i] = 0
ans = warshall_floyd(d)
answer = 0
for i in range(m):
	now = hen[i]
	if d[now[0]][now[1]] != now[2]:
		answer += 1
print(answer)


from collections import defaultdict
import heapq
INF = 10 ** 6

def check(N, adj_nodes, costs, from_node, to_node):
	dists = [INF for _ in range(N)]
	dists[from_node] = 0
	frontier = [(0, from_node)]
	while len(frontier) > 0:
		(d, node) = heapq.heappop(frontier)
		for next_node in adj_nodes[node]:
			if (from_node, to_node) == (node, next_node):
				continue
			next_d = costs[node][next_node] + dists[node]
			if dists[next_node] > next_d:
				dists[next_node] = next_d
				heapq.heappush(frontier, (next_d, next_node))
	return costs[from_node][to_node] > dists[to_node]

def main():
	(N, M) = list(map(int, input().split(' ')))
	adj_nodes = defaultdict(list)
	costs = [[INF for _ in range(N)] for _ in range(N)]
	edges = list()
	for _ in range(M):
		(a, b, c) = list(map(int, input().split(' ')))
		a -= 1
		b -= 1
		adj_nodes[a].append(b)
		adj_nodes[b].append(a)
		costs[a][b] = c
		costs[b][a] = c
		edges.append((a, b))
	ans = 0
	for edge in edges:
		(from_node, to_node) = edge
		if check(N, adj_nodes, costs, from_node, to_node):
			ans += 1
	print(ans)

def __starting_point():
	main()
__starting_point()


(N, M) = map(int, input().split())
a = [0] * M
b = [0] * M
c = [0] * M
for i in range(M):
	(a[i], b[i], c[i]) = map(int, input().split())
	a[i] -= 1
	b[i] -= 1
d = [[float('inf')] * N for i in range(N)]
for i in range(M):
	d[a[i]][b[i]] = c[i]
	d[b[i]][a[i]] = c[i]
for i in range(N):
	d[i][i] = 0
for s in range(N):
	for j in range(N):
		for i in range(N):
			d[i][j] = min(d[i][j], d[i][s] + d[s][j])
count = 0
for i in range(M):
	if d[a[i]][b[i]] < c[i]:
		count += 1
print(count)


INF = float('inf')

def WarshallFloyd(M):
	N = len(M)
	for k in range(N):
		for j in range(N):
			for i in range(N):
				M[i][j] = min(M[i][j], M[i][k] + M[k][j])
	return M
(N, M, *ABC) = map(int, open(0).read().split())
E = [[INF] * (N + 1) for _ in range(N + 1)]
for (a, b, c) in zip(*[iter(ABC)] * 3):
	E[a][b] = c
	E[b][a] = c
D = WarshallFloyd(E)
print(sum((D[a][b] < c for (a, b, c) in zip(*[iter(ABC)] * 3))))


INF = float('inf')
import copy

def warshall_floyd(d):
	n = len(d)
	wf = copy.deepcopy(d)
	for k in range(n):
		for i in range(n):
			for j in range(n):
				wf[i][j] = min(wf[i][j], wf[i][k] + wf[k][j])
	return wf
(n, m) = list(map(int, input().split()))
d = [[INF] * n for i in range(n)]
edges = []
for i in range(m):
	(u, v, w) = list(map(int, input().split()))
	d[u - 1][v - 1] = w
	d[v - 1][u - 1] = w
	edges.append((u - 1, v - 1))
for i in range(n):
	d[i][i] = 0
fwd = warshall_floyd(d)
ret = 0
for (u, v) in edges:
	if fwd[u][v] < d[u][v]:
		ret += 1
print(ret)


(N, M) = map(int, input().split())
G = [[] for _ in range(N)]
INF = 10 ** 9
D = [[INF for _ in range(N)] for _ in range(N)]
for i in range(N):
	D[i][i] = 0
E = []
for _ in range(M):
	(a, b, c) = map(int, input().split())
	(a, b) = (a - 1, b - 1)
	G[a].append((b, c))
	G[b].append((a, c))
	D[a][b] = c
	D[b][a] = c
	E.append((a, b, c))
for k in range(N):
	for i in range(N):
		for j in range(N):
			if D[i][k] + D[k][j] < D[i][j]:
				D[i][j] = D[i][k] + D[k][j]
				D[j][i] = D[i][k] + D[k][j]
ans = 0
for (a, b, c) in E:
	flg = False
	for i in range(N):
		if D[i][a] + c == D[i][b]:
			flg = True
			break
	if not flg:
		ans += 1
print(ans)


import heapq
(n, m) = map(int, input().split())
adj_list = [[] for i in range(n + 1)]
for _ in range(m):
	(a, b, c) = map(int, input().split())
	adj_list[a].append((b, c))
	adj_list[b].append((a, c))

def dijkstra(start):
	prev_node = [-1] * (n + 1)
	INF = 10 ** 10
	VISITED = 1
	NOT_VISITED = 0
	cost = [INF] * (n + 1)
	cost[start] = 0
	visit = [NOT_VISITED] * (n + 1)
	queue = [(cost[start], start)]
	while len(queue) > 0:
		(c, v) = heapq.heappop(queue)
		visit[v] = VISITED
		for (u, cost_vu) in adj_list[v]:
			if visit[u] == VISITED:
				continue
			if cost[u] > cost[v] + cost_vu:
				cost[u] = cost[v] + cost_vu
				heapq.heappush(queue, (cost[u], u))
				prev_node[u] = v
	return prev_node
used_edge = [[False] * (n + 1) for i in range(n + 1)]
used_count = 0
for s in range(1, n + 1):
	prev_node = dijkstra(s)
	for i in range(1, n + 1):
		j = prev_node[i]
		if j == -1:
			continue
		if used_edge[i][j] == False:
			used_count += 1
			used_edge[i][j] = True
			used_edge[j][i] = True
print(m - used_count)


inf = 10 ** 10
(n, m) = map(int, input().split())
d = [[inf for _ in range(n)] for _ in range(n)]
for i in range(n):
	d[i][i] = 0
edges = []
for _ in range(m):
	(a, b, c) = map(int, input().split())
	d[a - 1][b - 1] = c
	d[b - 1][a - 1] = c
	edges.append((a - 1, b - 1, c))

def warshall_floyd(d):
	for k in range(n):
		for i in range(n):
			for j in range(n):
				d[i][j] = min(d[i][j], d[i][k] + d[k][j])
warshall_floyd(d)
ans = m
for (u, v, c) in edges:
	flg = False
	for i in range(n):
		if d[i][v] + c == d[i][u]:
			flg = True
	if flg:
		ans -= 1
print(ans)


(n, w) = map(int, input().split())
from collections import defaultdict
D = defaultdict(list)

def warshall_floyd(d):
	for k in range(n):
		for i in range(n):
			for j in range(n):
				if d[i][j] > d[i][k] + d[k][j]:
					d[i][j] = d[i][k] + d[k][j]
					D[i, j] = D[i, k] + D[k, j][1:]
	return d
done = [[-1] * n for _ in range(n)]
d = [[float('inf')] * n for i in range(n)]
for i in range(w):
	(x, y, z) = map(int, input().split())
	d[x - 1][y - 1] = z
	d[y - 1][x - 1] = z
	D[x - 1, y - 1] = [x - 1, y - 1]
	D[y - 1, x - 1] = [y - 1, x - 1]
	done[x - 1][y - 1] = 0
	done[y - 1][x - 1] = 0
for i in range(n):
	d[i][i] = 0
warshall_floyd(d)
for l in D.values():
	for i in range(1, len(l)):
		a = l[i - 1]
		b = l[i]
		done[a][b] = 1
		done[b][a] = 1
import numpy as np
done = np.array(done)
ans = (done == 0).sum()
print(ans // 2)


(n, m) = map(int, input().split())
(a, b, c) = zip(*[list(map(int, input().split())) for i in range(m)])
dist = [[1e+18] * n for i in range(n)]
for i in range(m):
	dist[a[i] - 1][b[i] - 1] = dist[b[i] - 1][a[i] - 1] = min(dist[a[i] - 1][b[i] - 1], c[i])
for k in range(n):
	for i in range(n):
		for j in range(n):
			dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j])
ans = 0
for i in range(m):
	if dist[a[i] - 1][b[i] - 1] < c[i]:
		ans += 1
print(ans)


(n, m) = map(int, input().split())
rg = [[999999999 for _ in range(n)] for _ in range(n)]
rgflg = [[False for _ in range(n)] for _ in range(n)]
for i in range(m):
	(a, b, c) = map(int, input().split())
	rg[a - 1][b - 1] = c
	rgflg[a - 1][b - 1] = True
	rg[b - 1][a - 1] = c
	rgflg[b - 1][a - 1] = True
count = 0
for k in range(n):
	for i in range(n):
		for j in range(n):
			if rg[i][j] > rg[i][k] + rg[k][j]:
				rg[i][j] = rg[i][k] + rg[k][j]
				if rgflg[i][j] == True or rgflg[j][i] == True:
					rgflg[i][j] = False
					rgflg[j][i] = False
					count += 1
print(count)


def main():
	from itertools import combinations
	import sys
	input = sys.stdin.readline
	inf = 1000 * 100 + 10
	(N, M) = list(map(int, input().split()))
	dist = [[[inf, 0] for _ in range(N)] for _ in range(N)]
	for j in range(N):
		dist[j][j] = [0, 0]
	for idx in range(M):
		(a, b, c) = list(map(int, input().split()))
		a -= 1
		b -= 1
		dist[a][b][0] = dist[b][a][0] = c
		dist[a][b][1] = dist[b][a][1] = 1 << idx
	for k in range(N):
		for i in range(N):
			for j in range(N):
				nd = dist[i][k][0] + dist[k][j][0]
				if dist[i][j][0] > nd:
					dist[i][j][0] = nd
					dist[i][j][1] = dist[i][k][1] | dist[k][j][1]
				elif dist[i][j][0] == nd:
					dist[i][j][1] |= dist[i][k][1] | dist[k][j][1]
	used_edge = 0
	for (frm, to) in combinations(list(range(N)), r=2):
		used_edge |= dist[frm][to][1]
	print(M - bin(used_edge).count('1'))

def __starting_point():
	main()
__starting_point()


import heapq
(n, m) = list(map(int, input().split()))
edges = dict()
ans = [0 for _ in range(m + 1)]
graph = [set() for _ in range(n)]
for i in range(m):
	(a, b, c) = list(map(int, input().split()))
	edges[i] = (a - 1, b - 1, c)
	graph[a - 1].add(i)
	graph[b - 1].add(i)
for i in range(n):
	done = [True for _ in range(n)]
	D = [(0, 0, i, m)]
	heapq.heapify(D)
	while D:
		d = heapq.heappop(D)
		(cost, mark, node, edge) = d
		if done[node]:
			done[node] = False
			ans[edge] = 1
			for g in graph[node]:
				(a, b, c) = edges[g]
				if b == node:
					(a, b) = (b, a)
				if done[b]:
					heapq.heappush(D, (cost + c, ans[g], b, g))
print(m - (sum(ans) - 1))


(n, m) = map(int, input().split())
INF = 10 ** 18
d = [[INF] * n for _ in range(n)]
nd = [[INF] * n for _ in range(n)]
for i in range(n):
	d[i][i] = 0
	nd[i][i] = 0
for _ in range(m):
	(a, b, c) = map(int, input().split())
	a -= 1
	b -= 1
	d[a][b] = c
	d[b][a] = c
	nd[a][b] = c
	nd[b][a] = c
for k in range(n):
	for i in range(n):
		for j in range(n):
			nd[i][j] = min(nd[i][j], nd[i][k] + nd[k][j])
cnt = 0
for i in range(n):
	for j in range(n):
		if d[i][j] == INF:
			continue
		if nd[i][j] < d[i][j]:
			cnt += 1
print(cnt // 2)


(n, m) = map(int, input().split())
INF = 10 ** 10
d = [[INF] * n for _ in range(n)]
for _ in range(m):
	(a, b, c) = map(int, input().split())
	d[a - 1][b - 1] = c
	d[b - 1][a - 1] = c
nxt = [[[i] for i in range(n)] for _ in range(n)]
for k in range(n):
	for i in range(n):
		for j in range(n):
			if i == j:
				continue
			if d[i][k] + d[k][j] < d[i][j]:
				d[i][j] = d[i][k] + d[k][j]
				nxt[i][j] = nxt[i][k][:]
			elif d[i][k] + d[k][j] == d[i][j]:
				nxt[i][j] += nxt[i][k]
s = set()
for start in range(n):
	for goal in range(n):
		if start == goal:
			continue

		def DFS(i):
			for j in nxt[i][goal]:
				s.add((i, j))
				if j != goal:
					DFS(j)
		DFS(start)
print(m - len(s) // 2)


(N, M) = map(int, input().split())

def warshall_floyd(d):
	for k in range(N):
		for i in range(N):
			for j in range(N):
				d[i][j] = min(d[i][j], d[i][k] + d[k][j])
	return d
d = [[float('inf')] * N for i in range(N)]
A = []
for i in range(M):
	(x, y, z) = map(int, input().split())
	x -= 1
	y -= 1
	d[x][y] = z
	d[y][x] = z
	A.append((x, y, z))
for i in range(N):
	d[i][i] = 0
D = warshall_floyd(d)
ans = 0
for (x, y, z) in A:
	if D[x][y] != z:
		ans += 1
print(ans)


import sys
import heapq
sys.setrecursionlimit(10 ** 7)
input = sys.stdin.readline
f_inf = float('inf')
mod = 10 ** 9 + 7

def resolve():
	(n, m) = list(map(int, input().split()))
	edge = [[] for _ in range(n)]
	k = []
	for _ in range(m):
		(a, b, c) = list(map(int, input().split()))
		edge[a - 1].append([c, b - 1])
		edge[b - 1].append([c, a - 1])
		k.append([c, a - 1, b - 1])

	def dijkstra_heap(s):
		d = [f_inf] * n
		used = [True] * n
		d[s] = 0
		used[s] = False
		edgelist = []
		for e in edge[s]:
			heapq.heappush(edgelist, e)
		while len(edgelist):
			minedge = heapq.heappop(edgelist)
			if not used[minedge[1]]:
				continue
			v = minedge[1]
			d[v] = minedge[0]
			used[v] = False
			for e in edge[v]:
				if used[e[1]]:
					heapq.heappush(edgelist, [e[0] + d[v], e[1]])
		return d
	used = set()
	for i in range(n):
		dist = dijkstra_heap(i)
		for (d, to, fr) in k:
			if dist[to] + d == dist[fr]:
				used.add((to, fr))
	print(len(k) - len(used))

def __starting_point():
	resolve()
__starting_point()


(n, m) = map(int, input().split())
dis = [[float('inf') for i in range(n)] for j in range(n)]
for i in range(n):
	dis[i][i] = 0
abc = []
for i in range(m):
	(a, b, c) = map(int, input().split())
	abc.append([a, b, c])
	dis[a - 1][b - 1] = c
	dis[b - 1][a - 1] = c

def warshall_floyd(dis):
	for k in range(n):
		for i in range(n):
			for j in range(n):
				dis1 = dis[i][j]
				dis2 = dis[i][k] + dis[k][j]
				dis[i][j] = min(dis1, dis2)
	return dis
data = warshall_floyd(dis)
ans = 0
for i in range(m):
	(a, b, c) = (abc[i][0], abc[i][1], abc[i][2])
	for j in range(n):
		if c + data[b - 1][j] == data[a - 1][j]:
			break
	else:
		ans += 1
print(ans)


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

class WarshallFloyd:

	def __init__(self, n, _first_index=0):
		self.v = n
		self._first_idx = _first_index
		self.d = [[1e+100] * (n + _first_index) for _ in range(n + _first_index)]
		for i in range(n + _first_index):
			self.d[i][i] = 0

	def path(self, x, y, c):
		if x == y:
			return False
		self.d[x][y] = c
		self.d[y][x] = c
		return True

	def build(self):
		f = self._first_idx
		for k in range(f, self.v + f):
			for i in range(f, self.v + f):
				for j in range(f, self.v + f):
					self.d[i][j] = min(self.d[i][j], self.d[i][k] + self.d[k][j])
		return self.d
w = WarshallFloyd(n, 1)
l = []
for i in range(m):
	(x, y, c) = map(int, input().split())
	w.path(x, y, c)
	(x, y) = sorted([x, y])
	l.append([x, y, c])
d = w.build()
ans = 0
for (a, s, c) in l:
	f = 1
	for y in range(1, n + 1):
		if d[y][s] == d[y][a] + c:
			f = 0
			break
	ans += f
print(ans)


(n, m) = map(int, input().split())
Graph = [[float('inf')] * n for i in range(n)]
(A, B, C) = ([], [], [])
for i in range(n):
	Graph[i][i] = 0
for i in range(m):
	(a, b, c) = map(int, input().split())
	Graph[a - 1][b - 1] = c
	Graph[b - 1][a - 1] = c
	A.append(a - 1)
	B.append(b - 1)
	C.append(c)
for k in range(n):
	for i in range(n):
		for j in range(n):
			Graph[i][j] = min(Graph[i][j], Graph[i][k] + Graph[k][j])
ans = m
for i in range(m):
	for j in range(n):
		if Graph[j][A[i]] + C[i] == Graph[j][B[i]]:
			ans -= 1
			break
print(ans)


import sys
from heapq import heappush, heappop
read = sys.stdin.read
readline = sys.stdin.readline
readlines = sys.stdin.readlines
sys.setrecursionlimit(10 ** 9)
INF = 1 << 60
MOD = 1000000007

def main():
	(N, M, *AB) = list(map(int, read().split()))
	G = [[] for _ in range(N)]
	for (i, (a, b, c)) in enumerate(zip(*[iter(AB)] * 3)):
		G[a - 1].append((b - 1, c, i))
		G[b - 1].append((a - 1, c, i))
	vec = [False] * M
	for i in range(N):
		dist = [INF] * N
		dist[i] = 0
		from_edge = [[] for _ in range(N)]
		hq = [(0, i)]
		while hq:
			(d, v) = heappop(hq)
			if dist[v] < d:
				continue
			for (nv, cost, edge) in G[v]:
				if dist[nv] > d + cost:
					dist[nv] = d + cost
					heappush(hq, (dist[nv], nv))
					from_edge[nv] = [edge]
				elif dist[nv] == d + cost:
					from_edge[nv].append(edge)
		for edges in from_edge:
			for e in edges:
				vec[e] = True
	ans = sum((1 for flag in vec if not flag))
	print(ans)
	return

def __starting_point():
	main()
__starting_point()


(n, m) = map(int, input().split())
INF = 10 ** 18
e = [[INF for _ in range(n)] for _ in range(n)]
d = []
for i in range(m):
	(a, b, c) = map(int, input().split())
	e[a - 1][b - 1] = c
	e[b - 1][a - 1] = c
	d.append((a - 1, b - 1, c))
for k in range(n):
	for i in range(n):
		for j in range(n):
			e[i][j] = min(e[i][j], e[i][k] + e[k][j])
ans = 0
for (i, j, k) in d:
	if e[i][j] != k:
		ans += 1
print(ans)


INF = 100000000
(N, M) = map(int, input().split())
a = [0] * 1000
b = [0] * 1000
c = [0] * 1000
dist = [[INF for _ in range(100)] for _ in range(100)]
for i in range(M):
	(a[i], b[i], c[i]) = map(int, input().split())
	a[i] -= 1
	b[i] -= 1
for i in range(N):
	for j in range(N):
		if i == j:
			dist[i][j] = 0
for i in range(M):
	dist[a[i]][b[i]] = min(dist[a[i]][b[i]], c[i])
	dist[b[i]][a[i]] = min(dist[b[i]][a[i]], c[i])
for k in range(N):
	for i in range(N):
		for j in range(N):
			dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j])
ans = M
for i in range(M):
	flag = False
	for j in range(N):
		if dist[j][a[i]] + c[i] == dist[j][b[i]]:
			flag = True
	if flag:
		ans -= 1
print(ans)


(N, M) = map(int, input().split())
inf = 10 ** 6
d = [[inf] * N for i in range(N)]
prev = [[N] * N for i in range(N)]
vlist = [[0] * N for i in range(N)]
for i in range(M):
	(a, b, c) = map(int, input().split())
	a -= 1
	b -= 1
	vlist[a][b] = 1
	vlist[b][a] = 1
	d[a][b] = c
	d[b][a] = c
	prev[a][b] = a
	prev[b][a] = b
for k in range(N):
	for i in range(N):
		for j in range(N):
			if d[i][j] > d[i][k] + d[k][j]:
				d[i][j] = d[i][k] + d[k][j]
				prev[i][j] = prev[k][j]
for i in range(N):
	for j in range(N):
		if prev[i][j] == i:
			vlist[i][j] = 0
count = 0
for i in range(N - 1):
	for j in range(i, N):
		if vlist[i][j] == 1 and vlist[j][i] == 1:
			count += 1
print(count)


(N, M) = list(map(int, input().split()))
conns = [tuple(map(int, input().split())) for _ in range(M)]
cost = [[float('INF')] * N for _ in range(N)]
for i in range(N):
	cost[i][i] = 0
for (a, b, c) in conns:
	cost[a - 1][b - 1] = c
	cost[b - 1][a - 1] = c
for k in range(N):
	for i in range(N):
		for j in range(N):
			cost[i][j] = min(cost[i][j], cost[i][k] + cost[k][j])
cnt = 0
for (a, b, c) in conns:
	if c > cost[a - 1][b - 1]:
		cnt += 1
print(cnt)


import heapq

def dijkstra(s):
	dist[s] = 0
	que = []
	heapq.heappush(que, (0, s))
	while len(que) != 0:
		p = heapq.heappop(que)
		v = p[1]
		if dist[v] < p[0]:
			continue
		for e in graph[v]:
			if dist[e[0]] > dist[v] + e[1]:
				dist[e[0]] = dist[v] + e[1]
				prev[e[0]] = v
				heapq.heappush(que, (dist[e[0]], e[0]))

def get_path(t):
	path = []
	while t != -1:
		path.append(t)
		t = prev[t]
	path = path[::-1]
	return path
(N, W) = list(map(int, input().split()))
graph = [[] for i in range(N)]
edges = {}
for i in range(W):
	(x, y, z) = list(map(int, input().split()))
	x -= 1
	y -= 1
	graph[x].append((y, z))
	graph[y].append((x, z))
	edges[x, y] = True
for st in range(N):
	dist = [float('inf')] * N
	prev = [-1] * N
	dijkstra(st)
	for i in range(N):
		gp = get_path(i)
		for i in range(1, len(gp)):
			edges[gp[i - 1], gp[i]] = False
print(sum(edges.values()))


import sys
input = sys.stdin.readline

def main():
	(n, m) = map(int, input().split())
	road = [[100000] * n for _ in range(n)]
	count = [[-1] * n for i in range(n)]
	for _ in range(m):
		(a, b, c) = map(int, input().split())
		road[a - 1][b - 1] = c
		road[b - 1][a - 1] = c
		count[a - 1][b - 1] = 0
		count[b - 1][a - 1] = 0
	for k in range(n):
		for i in range(n):
			for j in range(n):
				if road[i][k] + road[k][j] < road[i][j]:
					if count[i][j] == 0:
						count[i][j] = 1
					road[i][j] = road[i][k] + road[k][j]
	ans = 0
	for i in range(n):
		ans += count[i].count(1)
	print(ans // 2)

def __starting_point():
	main()
__starting_point()


(n, m) = map(int, input().split())
graph = [[float('inf')] * n for i in range(n)]
u_s = []
v_s = []
w_s = []
for _ in range(m):
	(u, v, w) = map(int, input().split())
	u_s.append(u - 1)
	v_s.append(v - 1)
	w_s.append(w)
	graph[u - 1][v - 1] = w
	graph[v - 1][u - 1] = w
for i in range(n):
	graph[i][i] = 0

def warshall_floyd(adj_m):
	_dist = adj_m
	for _k in range(n):
		for _i in range(n):
			for _j in range(n):
				_dist[_i][_j] = min(_dist[_i][_j], _dist[_i][_k] + _dist[_k][_j])
	return _dist
dist = warshall_floyd(graph)
ans = 0
for i in range(m):
	if w_s[i] > dist[u_s[i]][v_s[i]]:
		ans += 1
print(ans)


import sys
sys.setrecursionlimit(10 ** 7)
f_inf = float('inf')
mod = 10 ** 9 + 7

def resolve():
	(n, m) = list(map(int, input().split()))
	cost = [[f_inf] * n for _ in range(n)]
	for i in range(n):
		cost[i][i] = 0
	edge = []
	for _ in range(m):
		(a, b, c) = list(map(int, input().split()))
		cost[a - 1][b - 1] = c
		cost[b - 1][a - 1] = c
		edge.append([c, a - 1, b - 1])
	for k in range(n):
		for i in range(n):
			for j in range(n):
				cost[i][j] = min(cost[i][j], cost[i][k] + cost[k][j])
	res = 0
	for (d, x, y) in edge:
		if cost[x][y] < d:
			res += 1
	print(res)

def __starting_point():
	resolve()
__starting_point()