how many times has a team won the stanley cup after winning game 1

The Toronto Maple Leafs have no series wins in the Stanley Cup Finals all-time.

	TEAM	SERIES W	GP	W	SERIES	L	T	OTL	PTS	PTS%	SOW	SOL	G	GA	DIFF	PP%	PK%	S/GP	S%	SA/GP	SV%
1	Maple Leafs	0	21	9	Stanley Cup Finals	12	0	0	18	.429	0	0	53	65	-12			29.17	10.3	34.50	.903
2	Millionaires	0	3	2	Stanley Cup Finals	1	0	0	4	.667	0	0	10	9	1
3	Canadiens	0	33	20	Stanley Cup Finals	13	0	0	40	.606	0	0	108	87	21	14.3	70.8	33.80	10.4	28.45	.905
4	Metropolitans	0	2	1	Stanley Cup Finals	1	0	0	2	.500	0	0	9	3	6
5	Senators	0	5	3	Stanley Cup Finals	1	1	0	7	.700	0	0	10	8	2
6	Eskimos	0	1	0	Stanley Cup Finals	1	0	0	0	.000	0	0	1	2	-1
7	Tigers	0	1	0	Stanley Cup Finals	1	0	0	0	.000	0	0	1	6	-5
8	Cougars	0	2	1	Stanley Cup Finals	1	0	0	2	.500	0	0	5	5	0
9	Maroons	0	3	3	Stanley Cup Finals	0	0	0	6	1.000	0	0	8	2	6
10	Bruins	0	21	7	Stanley Cup Finals	13	1	0	15	.357	0	0	47	62	-15	10.7	85.7	31.33	8.2	32.50	.903
11	Rangers	0	11	4	Stanley Cup Finals	7	0	0	8	.364	0	0	30	30	0	18.2	100.0	33.00	9.8	33.50	.903
12	Blackhawks	0	13	7	Stanley Cup Finals	6	0	0	14	.538	0	0	34	41	-7	10.0	73.3	35.44	8.5	36.33	.902
13	Red Wings	0	24	12	Stanley Cup Finals	12	0	0	24	.500	0	0	64	56	8	12.0	88.0	30.09	8.8	29.00	.915
14	Blues	0	4	0	Stanley Cup Finals	4	0	0	0	.000	0	0	6	16	-10	0.0	80.0	26.25	5.7	34.75	.885
15	Flyers	0	8	2	Stanley Cup Finals	6	0	0	4	.250	0	0	25	27	-2	33.3	75.0	29.38	10.6	30.63	.890
16	Sabres	0	2	1	Stanley Cup Finals	1	0	0	2	.500	0	0	4	6	-2	25.0	90.0	26.00	7.7	29.50	.898
17	Islanders	0	5	4	Stanley Cup Finals	1	0	0	8	.800	0	0	18	12	6	35.3	75.0	30.60	11.8	33.40	.928
18	Stars	0	5	2	Stanley Cup Finals	3	0	0	4	.400	0	0	17	21	-4	9.1	86.4	26.00	13.1	29.40	.857
19	Canucks	0	3	2	Stanley Cup Finals	1	0	0	4	.667	0	0	9	8	1	18.2	70.0	33.33	9.0	42.00	.937
20	Oilers	0	8	4	Stanley Cup Finals	4	0	0	8	.500	0	0	15	19	-4	7.4	92.6	31.00	6.0	30.00	.921
21	Flames	0	3	3	Stanley Cup Finals	0	0	0	6	1.000	0	0	12	5	7	18.2	81.3	28.00	14.3	26.33	.937
22	Penguins	0	6	3	Stanley Cup Finals	3	0	0	6	.500	0	0	18	21	-3	14.8	76.2	30.17	9.9	30.17	.884
23	Kings	0	3	3	Stanley Cup Finals	0	0	0	6	1.000	0	0	9	4	5	18.2	100.0	35.33	8.5	25.33	.947
24	Devils	0	5	3	Stanley Cup Finals	2	0	0	6	.600	0	0	13	11	2	12.5	81.8	25.20	10.3	21.20	.896
25	Avalanche	0	3	3	Stanley Cup Finals	0	0	0	6	1.000	0	0	12	4	8	12.5	100.0	32.67	12.2	24.67	.946