<｜begin▁of▁sentence｜>### Instruction:
Imagine you're working with a group of individuals who are involved in a competitive team-building exercise. In this activity, each participant competes in one-on-one matches with every other member. We are recording outcomes in a way where if a participant 'A' wins over a participant 'B', it is noted down as 'A -> B'. This intricate web of wins and losses can be depicted as a directionally pointed graph among participants, where each arrow points from the victor to the vanquished.

Now, in order to ensure that this competition reveals an environment where every participant is engaged and connected with all others through a sequence of wins and losses, it is vital to examine whether this directed graph of outcomes is an embodiment of what we might call a strongly interwoven community. This means that for any two individuals in this exercise, you can trace a path of victories from one to the other, directly or indirectly, respecting the direction of wins.

Could you take a moment to investigate this graph we have documented (noting it in a format such as a list of winner-loser pairs or any other method you've used for keeping track) and determine whether this community of participants reflects a strongly interwoven framework of engagement in our therapeutic recreational activity? Remember, we're looking to confirm that everyone has had a chance to connect through this structured competitive interaction.
### Response:
import networkx as nx

# Create a tournament graph
G = nx.DiGraph([(0,1),(0,2),(1,2),(1,3),(2,3),(3,0)])

# Check if it is a tournament
is_tournament = nx.is_tournament(G)
print('Is the graph a tournament?', is_tournament)

# Check if the tournament is strongly connected
is_strongly_connected = nx.tournament.is_strongly_connected(G)
print('Is the tournament strongly connected?', is_strongly_connected)

# Alter the graph to make it not strongly connected
G.remove_edge(3,0)
G.add_edge(0,3)

# Check again if the tournament is strongly connected
is_strongly_connected_after_change = nx.tournament.is_strongly_connected(G)
print('Is the tournament strongly connected after alteration?', is_strongly_connected_after_change)
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