Match scheduling algorithm and team numbers

FIRST General Forum
1

In the Galileo thread, team 25 used the MatchMaker software to generate schedules so they could see what type of matches they were in for. They noticed that they rarely played someone with a team number above 1500. Since I had software to generate and analyze a bunch of random matches I used it to count the number or times a team is a in a match with another team.

Across the top row and down the first column are the teams in the order in which I passed them to the MatchMaker software. The intersection of two team numbers in the number of times they were in a match together (either on the same alliance or opposing alliances). As you can see, teams that were close to each other in the initial list play a lot more then teams on opposite ends of the list (this was for 200 match schedules).

	1114	103	330	217	40	254	494	25	1717	121	469	1629	234	148	343	65	2046	176	1540	195	88	70	291	1450	2468	2062	716	1503	1816	932	48	384	694	1089	1983	316	548	2165	1676	364	84	1366	134	1023	2487	180	812	2237	2638	425	2340	894	1319	2549	612	2564	597	980	2437	1038	8	302	457	1138	1739	399	1758	2599	2023	115	1885	1296	1212	2423	1390	839	226	168	2354	1254	1523	2621	1576	509	1595
1114	0	190	196	187	211	197	206	210	201	196	194	199	182	191	180	169	154	154	148	143	156	146	114	129	112	114	127	105	105	91	81	97	93	75	86	68	79	59	77	54	54	53	50	44	35	30	36	45	32	25	34	35	27	32	24	34	29	32	37	25	30	26	23	29	32	32	31	30	35	33	38	52	41	44	37	44	48	50	50	41	44	50	46	52	58
103	190	0	186	177	217	194	193	200	212	186	189	193	189	193	178	160	165	159	163	151	145	127	126	139	140	113	128	109	96	99	90	98	89	80	82	78	66	68	69	67	49	49	50	47	51	37	38	39	32	39	34	33	37	20	28	32	27	25	29	30	20	22	27	27	19	31	43	23	38	34	33	40	37	32	40	38	41	50	47	42	49	39	55	44	54
330	196	186	0	176	200	201	209	191	207	176	184	194	179	193	175	168	187	168	145	148	148	142	132	144	131	110	120	107	112	109	94	95	92	84	71	74	75	67	56	59	65	41	49	55	41	43	31	40	39	32	39	46	42	21	25	31	36	27	31	29	26	17	27	30	30	41	21	37	31	33	40	42	46	38	51	37	41	36	40	35	43	52	46	52	35
217	187	177	176	0	190	176	197	188	189	188	180	194	176	189	188	163	179	171	154	151	149	144	132	128	133	117	101	105	122	107	108	103	70	74	78	65	84	81	79	53	55	48	48	55	60	37	38	38	40	39	27	36	32	39	33	20	26	23	23	26	25	29	26	33	27	27	30	34	36	33	42	49	46	46	38	31	41	35	39	40	32	47	49	47	54
40	211	217	200	190	0	215	224	193	210	194	215	200	193	190	191	188	185	168	167	157	161	142	140	132	149	124	131	126	113	93	119	112	87	79	84	71	78	65	71	61	45	39	66	53	40	42	29	29	35	39	33	26	22	24	23	34	19	28	25	22	18	26	25	25	24	28	23	17	25	38	24	36	32	41	39	33	32	26	32	41	40	32	40	50	44
254	197	194	201	176	215	0	214	235	209	216	237	221	218	196	196	207	202	182	183	184	161	188	148	156	140	132	126	132	108	122	108	123	98	87	81	75	59	83	63	54	51	33	40	48	38	33	24	36	36	30	30	18	25	20	29	18	17	16	12	17	19	15	16	24	17	13	16	11	20	24	18	23	27	23	26	20	26	34	22	31	34	33	37	37	46
494	206	193	209	197	224	214	0	231	214	219	210	212	206	181	187	203	209	187	167	187	159	158	162	146	134	126	134	118	110	105	110	111	115	94	78	70	85	84	77	55	65	46	50	50	40	39	31	36	24	32	27	26	22	19	17	25	21	18	21	19	12	16	20	14	25	12	14	12	23	19	16	21	16	19	23	23	30	28	17	32	32	26	28	30	32
25	210	200	191	188	193	235	231	0	239	200	219	203	219	204	191	198	206	181	176	187	156	178	169	148	141	139	129	105	121	109	108	108	103	94	83	81	87	69	69	75	51	50	49	39	47	41	25	33	27	29	29	27	25	16	17	23	25	19	11	10	15	15	14	15	14	13	15	15	14	13	19	23	20	25	22	29	25	30	28	24	30	32	35	34	35
1717	201	212	207	189	210	209	214	239	0	216	210	205	189	201	209	190	199	184	171	172	155	157	157	139	146	138	143	114	102	114	109	115	107	83	88	80	68	70	77	61	55	43	56	50	47	35	32	45	27	40	31	32	24	28	29	22	28	20	14	16	14	14	16	19	19	16	15	9	11	23	22	30	25	23	25	22	16	22	26	22	25	23	31	29	39
121	196	186	176	188	194	216	219	200	216	0	205	188	207	182	200	173	195	171	177	171	158	156	150	156	143	139	147	117	115	123	118	108	109	88	92	99	86	80	83	53	64	60	58	59	63	49	47	32	38	33	33	45	26	22	20	12	10	18	16	16	10	10	14	18	15	24	13	19	15	16	16	19	16	20	26	22	22	21	25	20	31	25	28	31	23
469	194	189	184	180	215	237	210	219	210	205	0	225	207	206	204	198	194	189	164	165	151	163	153	152	150	145	130	137	118	123	113	111	103	93	98	86	88	81	69	77	61	49	55	53	41	45	43	32	34	40	31	25	23	19	30	14	21	15	18	18	9	17	12	19	15	18	18	13	18	10	17	25	19	19	24	17	19	32	24	25	30	29	37	26	25
1629	199	193	194	194	200	221	212	203	205	188	225	0	205	192	196	190	196	187	174	183	168	166	144	138	121	146	138	116	115	127	113	107	107	99	92	78	83	86	79	59	66	57	46	53	55	49	41	37	34	33	24	28	35	22	21	20	27	12	12	20	13	14	23	17	17	13	11	15	14	19	21	30	25	32	19	21	26	28	27	21	32	35	37	30	34
234	182	189	179	176	193	218	206	219	189	207	207	205	0	204	188	191	169	183	174	182	154	161	155	136	149	146	134	129	119	121	127	123	105	100	92	83	68	85	77	58	57	54	55	52	54	47	37	39	35	43	32	19	26	23	19	27	21	24	24	11	19	18	17	21	17	20	16	18	13	19	20	27	17	22	19	20	18	21	30	21	24	26	25	31	34
148	191	193	193	189	190	196	181	204	201	182	206	192	204	0	192	176	181	167	180	181	155	162	150	142	146	133	136	127	109	121	114	111	95	104	94	95	89	82	76	73	69	62	57	50	59	41	41	47	35	37	29	35	27	27	28	24	24	18	26	24	17	18	19	21	16	17	19	20	21	16	21	22	24	15	22	19	22	22	22	27	21	29	31	23	23
343	180	178	175	188	191	196	187	191	209	200	204	196	188	192	0	181	191	180	165	172	157	142	158	154	154	144	133	127	138	122	120	131	103	95	92	84	100	93	71	70	55	58	63	60	64	51	57	45	40	39	38	38	24	30	23	23	26	9	14	17	12	18	20	16	24	19	16	13	12	13	15	25	23	14	19	16	24	23	23	23	27	21	26	24	28
65	169	160	168	163	188	207	203	198	190	173	198	190	191	176	181	0	189	176	159	189	159	154	160	143	137	149	158	141	111	141	125	124	124	98	120	87	85	71	91	91	76	68	63	58	59	45	50	48	31	41	41	41	25	35	32	27	27	24	20	19	15	20	19	24	13	16	13	13	9	21	24	16	17	13	16	21	15	15	18	16	22	22	23	19	18
2046	154	165	187	179	185	202	209	206	199	195	194	196	169	181	191	189	0	173	177	170	140	156	153	152	147	136	143	135	137	134	120	124	119	116	107	101	102	104	90	81	68	62	62	61	66	50	44	49	58	32	28	31	34	28	31	24	25	24	22	19	10	20	17	25	17	16	7	19	15	28	22	26	25	19	20	13	23	17	21	18	26	32	20	20	28
176	154	159	168	171	168	182	187	181	184	171	189	187	183	167	180	176	173	0	180	160	167	158	155	142	126	122	153	139	123	124	134	127	128	105	105	107	90	87	73	86	70	74	73	72	73	77	58	47	43	54	39	50	35	27	28	30	32	25	22	25	21	16	25	17	12	20	9	21	19	17	14	18	22	17	19	17	25	17	23	20	18	17	21	22	18
1540	148	163	145	154	167	183	167	176	171	177	164	174	174	180	165	159	177	180	0	168	163	155	144	148	128	148	153	139	134	120	140	129	127	108	99	96	95	101	90	86	88	68	79	75	69	61	61	52	62	43	43	42	28	38	29	32	21	27	19	19	23	21	23	23	21	10	14	19	17	10	18	11	14	17	15	16	21	19	19	18	15	15	22	21	17
195	143	151	148	151	157	184	187	187	172	171	165	183	182	181	172	189	170	160	168	0	166	133	144	147	154	150	143	126	117	132	134	118	103	102	107	97	98	101	101	78	76	70	62	81	75	55	56	52	57	45	50	41	36	45	35	35	37	31	32	30	23	22	22	26	13	23	10	15	12	11	16	20	18	12	12	19	17	18	13	12	18	15	19	16	15
88	156	145	148	149	161	161	159	156	155	158	151	168	154	155	157	159	140	167	163	166	0	160	144	147	138	136	140	135	137	108	131	125	132	111	116	105	107	102	116	91	88	95	78	86	79	75	54	70	60	58	51	43	48	50	37	32	35	37	28	25	26	28	26	23	12	16	22	16	24	15	19	8	23	14	18	12	16	13	17	15	16	12	17	17	22
70	146	127	142	144	142	188	158	178	157	156	163	166	161	162	142	154	156	158	155	133	160	0	159	134	144	125	140	135	135	136	131	128	123	121	127	104	113	100	96	86	110	78	78	85	76	68	64	72	60	62	54	50	44	40	45	40	40	25	42	33	27	31	24	20	16	19	19	19	18	14	14	15	15	23	13	15	13	19	16	13	15	11	18	16	16
291	114	126	132	132	140	148	162	169	157	150	153	144	155	150	158	160	153	155	144	144	144	159	0	144	125	147	141	129	145	132	133	125	128	120	113	114	109	99	105	101	87	92	96	102	83	73	81	72	73	72	60	67	49	45	33	43	28	28	31	31	29	23	29	30	23	16	21	18	22	16	14	15	14	13	15	18	24	11	11	15	10	16	19	18	15
1450	129	139	144	128	132	156	146	148	139	156	152	138	136	142	154	143	152	142	148	147	147	134	144	0	148	139	143	127	142	134	124	128	116	121	121	127	103	110	109	109	88	86	88	75	86	79	79	81	66	77	57	51	51	39	50	40	38	32	38	37	29	27	35	29	32	15	18	21	20	14	24	20	22	19	16	17	17	19	18	17	21	16	21	19	19
2468	112	140	131	133	149	140	134	141	146	143	150	121	149	146	154	137	147	126	128	154	138	144	125	148	0	133	153	122	137	121	129	138	107	110	115	120	114	121	114	109	108	101	90	104	81	91	78	56	62	64	64	64	52	57	36	52	40	39	35	23	42	36	29	30	31	25	26	27	22	13	20	21	30	17	18	9	20	17	18	21	23	19	21	12	17
2062	114	113	110	117	124	132	126	139	138	139	145	146	146	133	144	149	136	122	148	150	136	125	147	139	133	0	121	133	139	120	148	129	118	122	128	109	118	121	99	108	112	104	97	103	84	88	87	69	77	79	69	67	71	52	53	49	40	39	43	52	33	30	35	38	23	25	20	26	25	18	16	19	14	20	19	14	14	18	17	18	20	13	15	24	22
716	127	128	120	101	131	126	134	129	143	147	130	138	134	136	133	158	143	153	153	143	140	140	141	143	153	121	0	140	120	121	122	113	138	121	126	108	109	111	110	105	108	98	77	103	91	90	84	62	75	75	62	66	70	51	59	50	49	38	49	43	42	35	40	35	34	18	19	26	26	18	22	18	22	26	15	14	18	28	24	14	18	18	16	12	18
1503	105	109	107	105	126	132	118	105	114	117	137	116	129	127	127	141	135	139	139	126	135	135	129	127	122	133	140	0	150	117	136	126	129	119	131	119	131	114	128	109	114	107	106	93	99	90	91	85	80	80	71	68	73	62	65	66	41	44	49	43	33	45	40	35	26	31	33	28	26	27	25	18	20	14	20	12	19	18	24	12	25	25	17	21	10
1816	105	96	112	122	113	108	110	121	102	115	118	115	119	109	138	111	137	123	134	117	137	135	145	142	137	139	120	150	0	124	138	121	145	115	120	121	127	129	117	124	116	119	101	99	77	96	89	91	75	88	68	74	76	63	68	54	59	60	50	40	50	36	54	34	29	32	29	22	22	27	26	20	19	18	18	24	22	17	20	23	20	21	22	23	13
932	91	99	109	107	93	122	105	109	114	123	123	127	121	121	122	141	134	124	120	132	108	136	132	134	121	120	121	117	124	0	125	115	118	141	129	131	119	118	122	116	111	113	108	110	105	94	92	92	85	81	71	81	77	65	64	71	62	48	52	55	51	36	44	45	33	32	28	26	23	29	37	24	22	20	20	27	21	20	16	31	22	23	20	21	18
48	81	90	94	108	119	108	110	108	109	118	113	113	127	114	120	125	120	134	140	134	131	131	133	124	129	148	122	136	138	125	0	142	134	122	140	117	119	127	118	109	112	95	119	105	108	90	88	87	95	76	72	84	67	61	52	52	58	64	60	50	46	44	47	38	37	36	26	32	30	27	32	19	25	15	25	15	26	25	18	22	18	19	19	28	16
384	97	98	95	103	112	123	111	108	115	108	111	107	123	111	131	124	124	127	129	118	125	128	125	128	138	129	113	126	121	115	142	0	132	131	133	129	111	129	114	100	125	97	98	98	97	106	88	103	88	74	75	77	85	77	68	67	53	61	54	46	61	41	54	38	50	32	33	34	28	27	36	24	20	29	24	19	23	21	21	16	14	23	17	25	19
694	93	89	92	70	87	98	115	103	107	109	103	107	105	95	103	124	119	128	127	103	132	123	128	116	107	118	138	129	145	118	134	132	0	133	133	126	119	118	111	122	111	97	114	101	104	95	113	99	93	100	76	90	84	71	77	77	66	65	56	70	54	44	53	43	48	32	28	43	38	37	30	31	26	27	29	25	33	24	25	13	20	26	27	22	14
1089	75	80	84	74	79	87	94	94	83	88	93	99	100	104	95	98	116	105	108	102	111	121	120	121	110	122	121	119	115	141	122	131	133	0	147	109	130	128	127	117	118	112	115	116	112	112	107	95	89	94	99	92	83	81	82	83	77	76	64	80	74	65	50	51	50	52	40	38	37	37	41	28	31	38	33	28	37	31	23	29	26	23	19	30	19
1983	86	82	71	78	84	81	78	83	88	92	98	92	92	94	92	120	107	105	99	107	116	127	113	121	115	128	126	131	120	129	140	133	133	147	0	127	135	120	130	125	128	110	129	117	109	111	118	80	97	103	94	92	78	80	80	73	80	62	77	57	71	66	54	48	56	44	37	43	45	33	25	31	27	24	32	29	32	22	27	22	27	32	23	17	18
316	68	78	74	65	71	75	70	81	80	99	86	78	83	95	84	87	101	107	96	97	105	104	114	127	120	109	108	119	121	131	117	129	126	109	127	0	134	124	125	129	118	118	118	117	104	125	125	95	111	109	95	98	92	91	95	72	84	77	73	69	72	76	76	60	48	52	47	48	48	35	32	34	51	29	39	38	40	28	28	32	29	29	37	27	26
548	79	66	75	84	78	59	85	87	68	86	88	83	68	89	100	85	102	90	95	98	107	113	109	103	114	118	109	131	127	119	119	111	119	130	135	134	0	110	119	123	118	121	100	131	112	114	125	99	122	107	108	108	95	93	74	92	92	84	74	69	72	62	60	69	58	53	52	45	46	46	44	34	34	39	28	33	38	34	32	38	29	28	32	25	26
2165	59	68	67	81	65	83	84	69	70	80	81	86	85	82	93	71	104	87	101	101	102	100	99	110	121	121	111	114	129	118	127	129	118	128	120	124	110	0	117	116	134	113	127	130	114	114	117	95	114	99	100	116	102	95	83	78	89	67	73	74	71	77	68	66	53	52	53	53	51	59	44	46	45	38	37	43	30	31	45	29	34	25	27	27	31
1676	77	69	56	79	71	63	77	69	77	83	69	79	77	76	71	91	90	73	90	101	116	96	105	109	114	99	110	128	117	122	118	114	111	127	130	125	119	117	0	119	109	118	104	110	112	113	128	108	114	121	106	102	94	116	102	92	87	88	90	73	69	73	73	65	61	61	60	47	64	58	38	40	37	47	36	49	41	36	30	43	40	26	27	29	29
364	54	67	59	53	61	54	55	75	61	53	77	59	58	73	70	91	81	86	86	78	91	86	101	109	109	108	105	109	124	116	109	100	122	117	125	129	123	116	119	0	96	122	115	121	126	123	143	105	106	109	112	104	120	107	106	97	84	88	89	95	79	83	70	77	73	60	64	63	40	59	56	55	52	53	48	44	51	39	37	57	51	39	29	46	38
84	54	49	65	55	45	51	65	51	55	64	61	66	57	69	55	76	68	70	88	76	88	110	87	88	108	112	108	114	116	111	112	125	111	118	128	118	118	134	109	96	0	119	129	126	126	116	113	108	122	117	115	102	117	109	99	116	102	87	88	93	89	84	80	76	78	57	71	69	72	68	59	50	42	64	54	46	49	60	44	52	35	41	34	38	33
1366	53	49	41	48	39	33	46	50	43	60	49	57	54	62	58	68	62	74	68	70	95	78	92	86	101	104	98	107	119	113	95	97	97	112	110	118	121	113	118	122	119	0	128	121	140	116	119	131	124	115	119	111	118	114	109	118	104	98	98	107	91	96	90	87	82	80	79	85	63	68	67	57	59	58	54	46	45	46	48	55	45	60	47	52	51
134	50	50	49	48	66	40	50	49	56	58	55	46	55	57	63	63	62	73	79	62	78	78	96	88	90	97	77	106	101	108	119	98	114	115	129	118	100	127	104	115	129	128	0	114	128	129	129	114	124	118	126	115	125	113	102	104	100	103	95	97	96	83	82	76	66	81	71	82	66	76	72	66	52	50	57	61	59	59	61	61	47	51	45	51	47
1023	44	47	55	55	53	48	50	39	50	59	53	53	52	50	60	58	61	72	75	81	86	85	102	75	104	103	103	93	99	110	105	98	101	116	117	117	131	130	110	121	126	121	114	0	111	122	118	113	120	117	130	116	112	110	101	105	108	101	98	103	106	100	85	80	92	82	77	70	72	59	75	45	63	59	60	59	62	60	57	43	47	50	48	48	34
2487	35	51	41	60	40	38	40	47	47	63	41	55	54	59	64	59	66	73	69	75	79	76	83	86	81	84	91	99	77	105	108	97	104	112	109	104	112	114	112	126	126	140	128	111	0	130	120	118	128	129	117	118	102	118	115	110	119	98	119	91	87	89	91	91	77	83	92	85	80	80	65	59	74	59	72	71	55	34	60	56	52	70	50	48	47
180	30	37	43	37	42	33	39	41	35	49	45	49	47	41	51	45	50	77	61	55	75	68	73	79	91	88	90	90	96	94	90	106	95	112	111	125	114	114	113	123	116	116	129	122	130	0	137	115	122	112	132	104	115	139	132	102	117	114	120	100	100	99	93	91	94	85	93	87	82	77	75	65	77	67	68	73	74	71	71	64	60	51	54	54	47
812	36	38	31	38	29	24	31	25	32	47	43	41	37	41	57	50	44	58	61	56	54	64	81	79	78	87	84	91	89	92	88	88	113	107	118	125	125	117	128	143	113	119	129	118	120	137	0	131	130	117	123	122	124	118	121	111	101	106	114	107	99	92	101	94	97	91	101	96	87	87	88	69	77	80	69	66	66	46	74	66	73	57	59	70	64
2237	45	39	40	38	29	36	36	33	45	32	32	37	39	47	45	48	49	47	52	52	70	72	72	81	56	69	62	85	91	92	87	103	99	95	80	95	99	95	108	105	108	131	114	113	118	115	131	0	125	116	121	123	120	131	102	116	107	122	115	124	118	115	117	94	105	89	95	103	102	80	85	81	78	93	83	82	86	66	80	94	82	74	59	69	81
2638	32	32	39	40	35	36	24	27	27	38	34	34	35	35	40	31	58	43	62	57	60	60	73	66	62	77	75	80	75	85	95	88	93	89	97	111	122	114	114	106	122	124	124	120	128	122	130	125	0	121	117	115	131	111	125	119	122	114	120	116	118	110	105	92	106	97	96	96	79	91	105	85	86	76	98	91	73	83	73	71	71	76	72	76	67
425	25	39	32	39	39	30	32	29	40	33	40	33	43	37	39	41	32	54	43	45	58	62	72	77	64	79	75	80	88	81	76	74	100	94	103	109	107	99	121	109	117	115	118	117	129	112	117	116	121	0	129	128	126	119	121	108	113	109	111	126	111	131	103	100	93	93	110	110	90	85	96	75	93	105	74	95	72	86	92	75	77	70	76	88	75
2340	34	34	39	27	33	30	27	29	31	33	31	24	32	29	38	41	28	39	43	50	51	54	60	57	64	69	62	71	68	71	72	75	76	99	94	95	108	100	106	112	115	119	126	130	117	132	123	121	117	129	0	123	116	119	128	126	132	128	128	108	120	120	120	105	132	113	116	115	96	104	109	88	91	99	92	80	90	82	87	88	79	81	68	88	64
894	35	33	46	36	26	18	26	27	32	45	25	28	19	35	38	41	31	50	42	41	43	50	67	51	64	67	66	68	74	81	84	77	90	92	92	98	108	116	102	104	102	111	115	116	118	104	122	123	115	128	123	0	135	121	134	125	118	114	114	117	121	120	131	124	113	113	110	100	107	103	104	99	103	100	100	87	82	87	93	82	71	79	86	76	86
1319	27	37	42	32	22	25	22	25	24	26	23	35	26	27	24	25	34	35	28	36	48	44	49	51	52	71	70	73	76	77	67	85	84	83	78	92	95	102	94	120	117	118	125	112	102	115	124	120	131	126	116	135	0	139	108	134	112	116	134	122	129	122	144	107	116	125	119	121	115	103	104	105	82	102	96	96	94	96	102	96	82	83	82	87	100
2549	32	20	21	39	24	20	19	16	28	22	19	22	23	27	30	35	28	27	38	45	50	40	45	39	57	52	51	62	63	65	61	77	71	81	80	91	93	95	116	107	109	114	113	110	118	139	118	131	111	119	119	121	139	0	145	129	112	135	119	121	123	119	120	125	119	125	106	115	105	117	110	103	103	116	116	112	121	100	107	94	105	88	98	106	94
612	24	28	25	33	23	29	17	17	29	20	30	21	19	28	23	32	31	28	29	35	37	45	33	50	36	53	59	65	68	64	52	68	77	82	80	95	74	83	102	106	99	109	102	101	115	132	121	102	125	121	128	134	108	145	0	128	138	137	139	130	138	145	134	130	125	115	114	120	115	123	114	120	108	112	92	116	119	102	100	103	100	101	103	107	80
2564	34	32	31	20	34	18	25	23	22	12	14	20	27	24	23	27	24	30	32	35	32	40	43	40	52	49	50	66	54	71	52	67	77	83	73	72	92	78	92	97	116	118	104	105	110	102	111	116	119	108	126	125	134	129	128	0	124	129	126	118	128	133	128	127	146	125	132	120	138	129	133	111	107	108	106	106	101	105	128	122	106	106	105	103	112
597	29	27	36	26	19	17	21	25	28	10	21	27	21	24	26	27	25	32	21	37	35	40	28	38	40	40	49	41	59	62	58	53	66	77	80	84	92	89	87	84	102	104	100	108	119	117	101	107	122	113	132	118	112	112	138	124	0	135	135	121	122	116	115	136	129	140	139	121	108	135	129	131	129	133	120	119	115	124	120	122	114	119	119	104	120
980	32	25	27	23	28	16	18	19	20	18	15	12	24	18	9	24	24	25	27	31	37	25	28	32	39	39	38	44	60	48	64	61	65	76	62	77	84	67	88	88	87	98	103	101	98	114	106	122	114	109	128	114	116	135	137	129	135	0	140	122	121	139	135	122	147	118	128	134	130	137	110	136	137	139	132	141	133	131	131	116	126	134	127	107	124
2437	37	29	31	23	25	12	21	11	14	16	18	12	24	26	14	20	22	22	19	32	28	42	31	38	35	43	49	49	50	52	60	54	56	64	77	73	74	73	90	89	88	98	95	98	119	120	114	115	120	111	128	114	134	119	139	126	135	140	0	139	135	125	132	133	127	146	115	125	126	124	139	127	128	146	127	138	119	116	122	153	124	132	109	109	116
1038	25	30	29	26	22	17	19	10	16	16	18	20	11	24	17	19	19	25	19	30	25	33	31	37	23	52	43	43	40	55	50	46	70	80	57	69	69	74	73	95	93	107	97	103	91	100	107	124	116	126	108	117	122	121	130	118	121	122	139	0	138	140	134	142	150	140	146	132	136	128	122	145	129	124	135	137	125	114	132	131	136	127	135	125	158
8	30	20	26	25	18	19	12	15	14	10	9	13	19	17	12	15	10	21	23	23	26	27	29	29	42	33	42	33	50	51	46	61	54	74	71	72	72	71	69	79	89	91	96	106	87	100	99	118	118	111	120	121	129	123	138	128	122	121	135	138	0	135	143	133	131	153	137	141	132	151	146	127	141	145	147	140	146	136	143	150	143	116	120	139	133
302	26	22	17	29	26	15	16	15	14	10	17	14	18	18	18	20	20	16	21	22	28	31	23	27	36	30	35	45	36	36	44	41	44	65	66	76	62	77	73	83	84	96	83	100	89	99	92	115	110	131	120	120	122	119	145	133	116	139	125	140	135	0	145	144	147	142	139	148	137	145	128	137	137	144	130	145	143	137	139	138	153	148	142	146	141
457	23	27	27	26	25	16	20	14	16	14	12	23	17	19	20	19	17	25	23	22	26	24	29	35	29	35	40	40	54	44	47	54	53	50	54	76	60	68	73	70	80	90	82	85	91	93	101	117	105	103	120	131	144	120	134	128	115	135	132	134	143	145	0	154	123	129	154	141	153	149	149	144	140	154	145	135	146	127	136	122	140	114	166	146	139
1138	29	27	30	33	25	24	14	15	19	18	19	17	21	21	16	24	25	17	23	26	23	20	30	29	30	38	35	35	34	45	38	38	43	51	48	60	69	66	65	77	76	87	76	80	91	91	94	94	92	100	105	124	107	125	130	127	136	122	133	142	133	144	154	0	157	149	150	144	143	145	138	156	148	143	157	143	153	137	157	158	141	164	149	150	138
1739	32	19	30	27	24	17	25	14	19	15	15	17	17	16	24	13	17	12	21	13	12	16	23	32	31	23	34	26	29	33	37	50	48	50	56	48	58	53	61	73	78	82	66	92	77	94	97	105	106	93	132	113	116	119	125	146	129	147	127	150	131	147	123	157	0	149	157	148	153	153	155	162	147	153	156	156	162	166	144	148	150	156	149	149	155
399	32	31	41	27	28	13	12	13	16	24	18	13	20	17	19	16	16	20	10	23	16	19	16	15	25	25	18	31	32	32	36	32	32	52	44	52	53	52	61	60	57	80	81	82	83	85	91	89	97	93	113	113	125	125	115	125	140	118	146	140	153	142	129	149	149	0	154	144	156	160	164	172	165	163	152	163	154	162	160	155	163	178	162	166	175
1758	31	43	21	30	23	16	14	15	15	13	18	11	16	19	16	13	7	9	14	10	22	19	21	18	26	20	19	33	29	28	26	33	28	40	37	47	52	53	60	64	71	79	71	77	92	93	101	95	96	110	116	110	119	106	114	132	139	128	115	146	137	139	154	150	157	154	0	160	177	165	163	168	154	171	180	163	176	158	158	165	158	169	164	160	161
2599	30	23	37	34	17	11	12	15	9	19	13	15	18	20	13	13	19	21	19	15	16	19	18	21	27	26	26	28	22	26	32	34	43	38	43	48	45	53	47	63	69	85	82	70	85	87	96	103	96	110	115	100	121	115	120	120	121	134	125	132	141	148	141	144	148	144	160	0	147	165	165	158	163	186	160	179	160	164	171	169	160	171	182	165	175
2023	35	38	31	36	25	20	23	14	11	15	18	14	13	21	12	9	15	19	17	12	24	18	22	20	22	25	26	26	22	23	30	28	38	37	45	48	46	51	64	40	72	63	66	72	80	82	87	102	79	90	96	107	115	105	115	138	108	130	126	136	132	137	153	143	153	156	177	147	0	170	160	169	180	180	167	171	169	182	167	181	174	182	182	173	173
115	33	34	33	33	38	24	19	13	23	16	10	19	19	16	13	21	28	17	10	11	15	14	16	14	13	18	18	27	27	29	27	27	37	37	33	35	46	59	58	59	68	68	76	59	80	77	87	80	91	85	104	103	103	117	123	129	135	137	124	128	151	145	149	145	153	160	165	165	170	0	153	168	163	174	171	171	166	181	174	179	170	188	181	173	172
1885	38	33	40	42	24	18	16	19	22	16	17	21	20	21	15	24	22	14	18	16	19	14	14	24	20	16	22	25	26	37	32	36	30	41	25	32	44	44	38	56	59	67	72	75	65	75	88	85	105	96	109	104	104	110	114	133	129	110	139	122	146	128	149	138	155	164	163	165	160	153	0	171	171	158	167	180	186	169	168	185	193	191	171	177	180
1296	52	40	42	49	36	23	21	23	30	19	25	30	27	22	25	16	26	18	11	20	8	15	15	20	21	19	18	18	20	24	19	24	31	28	31	34	34	46	40	55	50	57	66	45	59	65	69	81	85	75	88	99	105	103	120	111	131	136	127	145	127	137	144	156	162	172	168	158	169	168	171	0	182	166	177	175	175	202	183	180	181	185	188	202	180
1212	41	37	46	46	32	27	16	20	25	16	19	25	17	24	23	17	25	22	14	18	23	15	14	22	30	14	22	20	19	22	25	20	26	31	27	51	34	45	37	52	42	59	52	63	74	77	77	78	86	93	91	103	82	103	108	107	129	137	128	129	141	137	140	148	147	165	154	163	180	163	171	182	0	177	183	185	183	207	195	173	183	181	188	177	200
2423	44	32	38	46	41	23	19	25	23	20	19	32	22	15	14	13	19	17	17	12	14	23	13	19	17	20	26	14	18	20	15	29	27	38	24	29	39	38	47	53	64	58	50	59	59	67	80	93	76	105	99	100	102	116	112	108	133	139	146	124	145	144	154	143	153	163	171	186	180	174	158	166	177	0	176	178	166	192	177	181	172	184	185	188	183
1390	37	40	51	38	39	26	23	22	25	26	24	19	19	22	19	16	20	19	15	12	18	13	15	16	18	19	15	20	18	20	25	24	29	33	32	39	28	37	36	48	54	54	57	60	72	68	69	83	98	74	92	100	96	116	92	106	120	132	127	135	147	130	145	157	156	152	180	160	167	171	167	177	183	176	0	187	178	197	185	189	182	208	200	198	188
839	44	38	37	31	33	20	23	29	22	22	17	21	20	19	16	21	13	17	16	19	12	15	18	17	9	14	14	12	24	27	15	19	25	28	29	38	33	43	49	44	46	46	61	59	71	73	66	82	91	95	80	87	96	112	116	106	119	141	138	137	140	145	135	143	156	163	163	179	171	171	180	175	185	178	187	0	197	194	187	202	194	188	190	184	208
226	48	41	41	41	32	26	30	25	16	22	19	26	18	22	24	15	23	25	21	17	16	13	24	17	20	14	18	19	22	21	26	23	33	37	32	40	38	30	41	51	49	45	59	62	55	74	66	86	73	72	90	82	94	121	119	101	115	133	119	125	146	143	146	153	162	154	176	160	169	166	186	175	183	166	178	197	0	181	195	185	205	184	198	192	193
168	50	50	36	35	26	34	28	30	22	21	32	28	21	22	23	15	17	17	19	18	13	19	11	19	17	18	28	18	17	20	25	21	24	31	22	28	34	31	36	39	60	46	59	60	34	71	46	66	83	86	82	87	96	100	102	105	124	131	116	114	136	137	127	137	166	162	158	164	182	181	169	202	207	192	197	194	181	0	200	187	225	196	207	204	206
2354	50	47	40	39	32	22	17	28	26	25	24	27	30	22	23	18	21	23	19	13	17	16	11	18	18	17	24	24	20	16	18	21	25	23	27	28	32	45	30	37	44	48	61	57	60	71	74	80	73	92	87	93	102	107	100	128	120	131	122	132	143	139	136	157	144	160	158	171	167	174	168	183	195	177	185	187	195	200	0	205	206	186	182	186	201
1254	41	42	35	40	41	31	32	24	22	20	25	21	21	27	23	16	18	20	18	12	15	13	15	17	21	18	14	12	23	31	22	16	13	29	22	32	38	29	43	57	52	55	61	43	56	64	66	94	71	75	88	82	96	94	103	122	122	116	153	131	150	138	122	158	148	155	165	169	181	179	185	180	173	181	189	202	185	187	205	0	194	192	198	204	207
1523	44	49	43	32	40	34	32	30	25	31	30	32	24	21	27	22	26	18	15	18	16	15	10	21	23	20	18	25	20	22	18	14	20	26	27	29	29	34	40	51	35	45	47	47	52	60	73	82	71	77	79	71	82	105	100	106	114	126	124	136	143	153	140	141	150	163	158	160	174	170	193	181	183	172	182	194	205	225	206	194	0	215	193	195	207
2621	50	39	52	47	32	33	26	32	23	25	29	35	26	29	21	22	32	17	15	15	12	11	16	16	19	13	18	25	21	23	19	23	26	23	32	29	28	25	26	39	41	60	51	50	70	51	57	74	76	70	81	79	83	88	101	106	119	134	132	127	116	148	114	164	156	178	169	171	182	188	191	185	181	184	208	188	184	196	186	192	215	0	208	207	195
1576	46	55	46	49	40	37	28	35	31	28	37	37	25	31	26	23	20	21	22	19	17	18	19	21	21	15	16	17	22	20	19	17	27	19	23	37	32	27	27	29	34	47	45	48	50	54	59	59	72	76	68	86	82	98	103	105	119	127	109	135	120	142	166	149	149	162	164	182	182	181	171	188	188	185	200	190	198	207	182	198	193	208	0	206	214
509	52	44	52	47	50	37	30	34	29	31	26	30	31	23	24	19	20	22	21	16	17	16	18	19	12	24	12	21	23	21	28	25	22	30	17	27	25	27	29	46	38	52	51	48	48	54	70	69	76	88	88	76	87	106	107	103	104	107	109	125	139	146	146	150	149	166	160	165	173	173	177	202	177	188	198	184	192	204	186	204	195	207	206	0	210
1595	58	54	35	54	44	46	32	35	39	23	25	34	34	23	28	18	28	18	17	15	22	16	15	19	17	22	18	10	13	18	16	19	14	19	18	26	26	31	29	38	33	51	47	34	47	47	64	81	67	75	64	86	100	94	80	112	120	124	116	158	133	141	139	138	155	175	161	175	173	172	180	180	200	183	188	208	193	206	201	207	207	195	214	210	0

This was with the best setting, 85 teams, 7 matches, default match separation (12). The distance between teams in the initial list and the chances that they play in a match correlates very high, R = -0.88.

My hypothesis was that the algorithm was not able to stray far from the initial set of teams because the minimum match separation was too high to allow that. If the minimum match separation was lowered, so should the correlation between the position and the initial list and the times played.

MMS = Minimum Match Separation

MMS 	Correlation
12	-0.88
10	-0.88
8	-0.60
6	-0.17
2	-0.11

When looking at the MatchRater results, MMS of 12 gives good results, and MMS of 10 gives almost perfect results. As a result, I have a feeling that FIRST would chose 10 for the championship. However, that value still has a strong correlation to placement in the team list and times played. It means that team 25 will very likely not play either with or against any rookie teams, but very likely they would play teams 8 and 40. Each individual match schedule is very good at making sure that you don’t play the same team twice, it just limits the number of teams you have a chance of playing.

One very easy solution would be to to randomize the team list before it is fed into the MatchMaker software.

Note that in the grand scheme of things, this is a very small problem. The MatchMaker software is far better then any other scheduler I’ve seen in FIRST. I just want to make it better.

2

I was playing around with the scheduler last night and I noticed the same thing. It think Sean from 25 posted it in the Galileo thread as well.

Looking at regional schedules, I would guess the software already randomize the team list (don’t you agree?) Remember we are playing with an evaluation version of the scheduler algorithm with no GUI or anything, not the actual software used by the scorekeeper. Hopefully they don’t put them in OPR order (which looks like what you did) since that would lead to conspiracy theories.

I think this is the real prob is the default MMS is too high and that is what is typically used (I think it was used at FLR and Philly). If you have to play a single team (out of 86) twice (in 7 matches) that is unacceptable and can heavily skew the seedings (which are very imperfect to begin with). **Hopefully the scorekeepers will tweak the MMS until there are no repeats.
**

I like this algorithm and how it approaches the problem. I love how you can tweak all the variables and they released it for us to evaluate (fun and educational). It may not be perfect, but it is a thousand times better than the Algorithm of Doom last year. By this time last year, we had released the first round of matches for each division.:rolleyes:

3

I think the software should randomize the list, but I’m pretty sure it doesn’t. For Chesapeake, the average team number that 7 (the lowest number team) faced was 716, and the average team number that 2546 faced was 1831.

using a MMS of 10 gives an almost perfect schedule for the championship (good enough to fool the person looking at the statistics). It does not fix the problem with the initial team list, however. You need to go down much further to fix it, which is very unlikely to happen.

4

Ya looking at Philly and GTR again for only the lowest and highest number teams’ schedule I do notice it. The schedules look pretty good when you go match to match, but individual team schedules show the trend. Immediately looking at them, they were much better than my schedules so I figured they were randomized. I guess the difference was fair (low) quality of my schedules versus better quality of reagional.

I agree that 10 MMS doesn’t fix the initial team order problem, I didnt say it did (I thought they randomized team list). I was just stressing that the more important problem is the default MMS is too high (and is generally being used) and we may see duplicate opponents. Both problems can be easily fixed due to MatchMaker’s flexibility. I just hope they realize these problems. Unfortunately, I don’t have any championship scorekeeper volunteers on my team anymore (so I can’t rant about this stuff at the airport like last year :smiley: ) Good work as usual Joe.

5

i’d like to know how the parameters were setup where, in Chesapeake with a field of 61 teams, we played with team 75 once and against them 3 times in a span of 5 consecutive matches.

6

I thought something funny was up at the Connecticut Regional- we played with and against mostly rookie and sophomore teams. Team 175, on the other hand, had a notorious match with six 100’s-range established (and incredible) teams.

7

the short answer is

MatchMaker -t 60 -r 8 -m 8

You can figure this out for any regional you want to.

MatchMaker takes three parameters for generating a schedule: number of teams playing (60), number of rounds to play(8), and minimum match separation for each team(8). (All other parameters that the program accepts are irrelevant to how the matches are scheduled.)

The first parameter must be the number of teams. The second parameter is dictated by the time available to play the matches. The third parameter of minimum match separation is the only one that is left to discretion.

The third parameter can be found by counting how many matches are between teams’ matches. The fewest matches between a pair of matches will be that parameter.

Also, the MatchRater program can be applied to schedules available at http://www.usfirst.org/community/frc/regionalevents.aspx?id=430 offering some insight in the scheduling.

It looks like 75 and 359 just got the short end of the stick on this one, given that there were numerous teams that face 24 distinct opponents. This is a case where the parameters chosen were reasonable(maybe not great, but reasonable), but whoever made the schedule probably ran the program in Default (fast and less effective) instead of Good or Best (which really just runs the same algorithm for longer.)

Better luck next time.
~Phil

8

Thanks for doing the study. I total agree with Joe that this years algorithm is much better then lasts. I am sure first will see this and make the small modification for next years algorithm. The one question i have is you said you did 200 matches yet the first one i see is 1114 and us and the number 210 does that mean i play with them once and against them once???:confused:

9

That means that in at least 10 match schedules, you see 1114 in two separate matches (one with and one against).

As Brian pointed out, when I ran the simulation, I did not sort by team number, so those statistics do not apply to specific team numbers, only specific positions in the team list. 25 probably only has about a 25% chance of seeing 1114 in a match.

10

just wanted to point out and add to the fact that in looking at our practice matches tomorrow, only 1 team of the 3 matches for either sides have a 2xxx team. Other than team 1165, we have no team no. larger than ours (other 5 teams on the field).
Interesting to say the least if that is a sign of things to come on the match schedule for friday and saturday.

11

Just to back up what’s been discussed here, I just looked at the match schedule for my team (1816) this weekend. Out of 35 alliance partners/opponents, only two have numbers lower than 1212.

12

In June, the Saxtons released a new version of the MatchMaker software (1.0.3b1). The description is “Here is a beta release of the new version that has an improved algorithm to reduce the clumping effect observed at the Philly regional during week 6.” It can be downloaded from the usual place, MatchMaker Downloads

I’ve started running the same tests as I did in this thread, but the early results look very good.

I generated schedules for the size from the championship (85 teams, 8 matches, default minimum match separation). I then summed the team numbers of each alliance and plotted them, similar to the picture in this thread.

team_number_sum_102.PNG shows the results from the version run at the championship, and looks very similar to the thread linked above.
team_number_sum_103.PNG shows the results from the new version. It looks much better (less correlated).
team_number_sum_102_Random.PNG shows the results from the older version, with a randomized team list. This looks very similar to the results from the new version, which shows the new version does a good job.

I’ll post more as I evaluate further.

team_number_sum_102.PNG
team_number_sum_102.PNG832×398 8.17 KB

team_number_sum_103.PNG
team_number_sum_103.PNG832×398 8.2 KB

team_number_sum_102_Random.PNG
team_number_sum_102_Random.PNG832×398 8.57 KB



team_number_sum_102.PNG
team_number_sum_102.PNG832×398 8.17 KB

team_number_sum_103.PNG
team_number_sum_103.PNG832×398 8.2 KB

team_number_sum_102_Random.PNG
team_number_sum_102_Random.PNG832×398 8.57 KB

13

i downloaded the new version, unzipped it, and opened it. I got a command prompt to flash on the screen then it closed. am i doing it wrong?

14

From the download site listed above,

so for example on windows, extract to c:\MatchMakerWin
then open Command Prompt and use


C:\>**cd c:\MatchMakerWin**

C:\MatchMakerWin>**MatchMaker.exe**

You should see a series of examples and such and then be able to use the program.

15

thank you

i got the first command to work but for the second it returns

'MatchMaker.exe' is not recognized as an internal or external command, operable program or batch file.

i got the same when i put in “win32.exe”

16

You need to be in the correct directory for the program to run.
For example, I extracted to c:\match and it created the subdirectory MatchMakerWin. Need to navigate there to get it to run.


C:\>cd c:\match
c:\match>cd matchmakerwin
c:\match\MatchMakerWin>matchmaker

or combine the first two steps to


c:\>cd c:\match\matchmakerwin
c:\match\MatchMakerWin>matchmaker

You can leave off the “.exe”

Hope that helps.

17

as i said i got the first command to work but i still get the same error message

18

You haven’t given enough information for someone to adequately help you. If I had to guess, I’d guess the same as TKM.368 and say you didn’t extract the program to the same directory that you changed directory (cd) to. Remember, the CD command only does what you tell it to do, and no more. When you say it worked, I assume that means it changed directories. That’s a start, but only if you told it to change to the correct directory. Are you sure you asked it to change directories to the directory where you extracted matchmakerwin.exe? Since you said you could run it from explorer, you should know exactly where you extracted it. You can use the dir command to display all the files and sub-directories in a directory, which should help you verify you are where you think you are. If you need to, have windows explorer and the command prompt side by side as you navigate through the directories.

The following document gives a lot of good tips on the right way to ask technical questions: How to Ask Questions the Smart Way

19

Using the same methodology as before, I ran 200 schedules with best setting, 85 teams, 7 matches, and default match separation. The correlation between the distance of teams and the initial list and the chance they play in a match does not correlate, R = -0.05. With the old scheduler, it was -0.88.

Here are the full results

	1114	103	330	217	40	254	494	25	1717	121	469	1629	234	148	343	65	2046	176	1540	195	88	70	291	1450	2468	2062	716	1503	1816	932	48	384	694	1089	1983	316	548	2165	1676	364	84	1366	134	1023	2487	180	812	2237	2638	425	2340	894	1319	2549	612	2564	597	980	2437	1038	8	302	457	1138	1739	399	1758	2599	2023	115	1885	1296	1212	2423	1390	839	226	168	2354	1254	1523	2621	1576	509	1595
1114	0	83	80	87	83	83	72	95	85	83	73	86	80	83	77	90	105	73	81	88	83	76	95	82	76	81	87	105	94	78	73	87	86	82	81	80	66	84	80	83	75	82	79	84	95	89	97	94	87	93	61	85	78	70	84	80	81	80	79	87	86	79	84	84	75	87	80	80	86	80	83	87	100	81	90	89	91	75	73	71	76	91	85	85	71
103	83	0	85	86	77	75	69	77	90	82	80	83	84	88	72	72	86	88	69	83	91	90	93	79	79	84	86	94	91	86	74	75	73	64	69	76	82	93	75	83	83	90	88	78	71	88	95	88	90	74	87	87	73	92	83	82	73	79	73	82	89	93	81	103	84	85	88	87	96	85	78	71	85	82	104	87	87	77	93	104	79	78	85	74	98
330	80	85	0	84	89	94	69	97	89	83	84	83	95	96	85	78	86	71	96	79	83	93	95	94	75	82	84	81	93	78	86	89	92	78	84	88	86	83	71	94	85	79	85	81	74	98	77	75	80	75	72	91	84	86	98	86	89	92	76	95	77	71	73	66	89	66	72	81	88	80	79	83	71	79	80	83	92	89	88	76	95	60	79	71	77
217	87	86	84	0	84	69	91	95	96	81	87	80	73	72	85	79	94	82	81	81	81	91	81	90	77	83	75	74	91	90	74	89	82	79	79	94	93	93	88	79	83	91	78	97	91	85	76	86	80	83	75	81	76	79	89	73	81	79	91	93	79	84	93	92	85	85	86	76	75	82	63	71	81	80	90	90	76	81	81	75	93	76	80	90	89
40	83	77	89	84	0	81	78	90	74	83	89	88	83	75	97	86	75	85	77	90	92	78	72	78	82	67	75	75	73	81	89	92	98	83	98	85	92	85	81	85	83	84	90	73	86	94	82	74	85	78	77	78	85	84	76	99	95	91	88	81	91	98	79	83	59	71	79	79	99	84	74	87	96	72	71	69	83	83	82	86	86	81	90	86	74
254	83	75	94	69	81	0	75	74	76	94	81	92	95	80	91	104	77	92	85	70	92	93	88	85	88	86	77	89	85	83	68	80	88	76	85	91	83	84	89	86	96	90	84	94	80	75	74	81	89	86	72	81	86	88	81	80	81	85	86	80	83	88	72	84	90	81	83	78	83	89	89	75	75	72	83	84	72	87	83	77	103	74	76	91	85
494	72	69	69	91	78	75	0	96	81	87	95	74	82	85	73	90	91	79	72	83	88	90	83	90	88	82	82	87	95	88	77	83	83	101	89	74	88	71	89	91	78	77	82	77	71	79	60	72	97	79	89	74	85	85	93	80	84	78	77	88	91	85	77	98	76	106	86	90	81	77	84	88	95	83	86	82	81	88	77	89	90	82	82	97	78
25	95	77	97	95	90	74	96	0	75	71	87	80	81	90	93	75	88	76	83	80	78	79	97	91	82	73	86	75	79	91	78	72	71	90	82	69	75	95	76	96	82	70	92	91	88	81	79	99	86	86	95	86	78	82	97	85	91	73	75	80	79	86	77	85	99	71	91	89	77	75	89	79	86	83	80	75	89	76	84	81	89	87	79	80	85
1717	85	90	89	96	74	76	81	75	0	78	95	78	81	75	91	88	83	100	89	80	95	81	74	82	89	75	86	81	93	92	82	87	75	82	82	77	83	74	78	87	83	75	81	82	90	81	77	76	91	82	78	76	79	90	90	84	91	74	80	87	95	95	91	74	95	85	77	84	76	77	90	94	88	79	71	86	80	97	75	82	95	74	87	68	89
121	83	82	83	81	83	94	87	71	78	0	77	75	77	86	81	84	84	86	89	69	86	73	89	79	75	94	81	73	75	88	76	88	82	85	86	76	93	74	78	92	83	72	92	79	75	77	83	90	97	68	71	87	101	85	70	89	85	77	97	101	87	83	69	78	78	92	89	90	90	87	79	83	80	89	77	93	87	86	83	90	90	83	73	80	77
469	73	80	84	87	89	81	95	87	95	77	0	79	84	94	83	69	79	71	90	88	81	81	90	79	80	77	87	77	74	90	83	82	104	80	78	98	91	70	94	76	83	79	102	83	79	87	77	87	84	87	81	84	92	77	81	83	69	88	80	92	79	86	89	77	74	82	71	69	90	86	92	83	103	80	67	85	74	85	85	86	89	81	78	85	77
1629	86	83	83	80	88	92	74	80	78	75	79	0	85	75	93	61	68	67	89	87	71	81	92	85	88	85	76	86	84	88	90	81	87	64	69	87	88	81	85	79	70	87	98	105	87	86	82	74	83	91	97	89	97	76	78	82	75	80	86	97	89	90	80	72	68	87	70	88	86	96	76	94	79	83	80	88	82	95	69	80	68	88	91	81	90
234	80	84	95	73	83	95	82	81	81	77	84	85	0	90	86	103	71	86	64	91	78	84	91	82	84	73	94	81	79	73	94	83	80	79	96	81	89	98	70	96	83	73	96	75	82	93	79	81	78	84	87	85	84	73	86	78	78	79	78	90	69	86	88	71	88	91	91	64	75	85	90	82	86	74	84	73	96	89	85	89	86	82	89	77	82
148	83	88	96	72	75	80	85	90	75	86	94	75	90	0	88	83	82	77	78	95	81	91	87	83	91	84	73	86	87	88	88	92	89	81	80	83	72	79	74	100	80	81	76	82	90	91	77	72	98	88	101	85	85	92	82	79	72	95	78	72	83	69	84	87	85	99	84	76	92	85	71	81	66	78	77	82	82	81	79	77	74	77	90	76	78
343	77	72	85	85	97	91	73	93	91	81	83	93	86	88	0	87	85	74	63	91	98	79	77	96	90	79	86	88	91	89	88	91	79	85	84	88	76	69	92	89	69	85	78	89	72	76	85	68	96	83	76	85	84	97	86	89	85	78	72	95	71	86	85	88	90	80	89	86	63	102	68	74	74	88	82	74	66	83	73	90	80	94	91	71	80
65	90	72	78	79	86	104	90	75	88	84	69	61	103	83	87	0	87	86	97	92	93	74	76	94	82	79	79	77	73	82	69	79	82	73	75	76	83	79	87	81	88	75	73	83	85	76	85	83	85	99	90	81	84	82	91	86	79	92	91	95	92	84	86	75	92	84	79	94	79	80	82	84	85	79	70	80	106	95	71	88	80	80	79	88	81
2046	105	86	86	94	75	77	91	88	83	84	79	68	71	82	85	87	0	92	83	83	79	81	82	85	84	77	73	93	83	87	80	83	91	78	84	77	97	73	75	61	75	88	78	90	86	80	83	75	90	85	84	62	81	101	94	81	89	81	84	83	81	82	79	92	98	77	75	70	79	75	105	93	82	91	83	72	87	84	89	89	101	71	71	88	94
176	73	88	71	82	85	92	79	76	100	86	71	67	86	77	74	86	92	0	88	73	92	72	77	72	83	88	86	78	82	76	90	90	82	76	81	95	78	88	93	73	80	66	87	94	75	84	73	92	88	78	84	94	82	79	99	83	89	95	87	86	87	74	85	82	85	81	99	90	89	74	92	93	82	84	84	78	87	77	77	80	87	89	79	77	85
1540	81	69	96	81	77	85	72	83	89	89	90	89	64	78	63	97	83	88	0	72	71	83	84	88	78	85	76	84	84	87	69	80	91	89	85	86	82	94	84	86	73	74	81	84	97	75	88	73	83	82	81	105	80	92	85	90	104	86	95	82	90	79	89	96	96	93	84	80	86	76	86	79	77	90	97	76	69	81	84	78	71	84	81	92	84
195	88	83	79	81	90	70	83	80	80	69	88	87	91	95	91	92	83	73	72	0	76	93	85	98	90	77	90	79	83	90	84	81	69	81	75	87	84	75	70	67	75	91	85	86	80	82	95	75	83	73	72	94	80	88	75	88	84	95	76	80	94	84	68	81	81	80	88	95	83	80	93	86	89	96	65	85	84	84	81	81	95	91	86	78	76
88	83	91	83	81	92	92	88	78	95	86	81	71	78	81	98	93	79	92	71	76	0	77	88	83	87	88	84	81	96	75	87	76	85	88	74	70	88	75	80	79	80	82	88	79	83	85	69	86	69	71	94	79	95	65	76	82	83	93	82	72	92	80	77	74	89	89	86	72	88	80	88	88	96	76	109	88	81	90	78	87	77	81	90	97	74
70	76	90	93	91	78	93	90	79	81	73	81	81	84	91	79	74	81	72	83	93	77	0	91	94	86	71	92	86	87	85	81	89	80	81	83	94	76	83	102	101	87	81	81	76	91	95	77	83	75	90	82	74	91	81	87	82	88	73	91	75	75	87	81	86	74	84	66	86	74	62	78	69	84	76	90	100	73	79	76	88	86	73	91	81	89
291	95	93	95	81	72	88	83	97	74	89	90	92	91	87	77	76	82	77	84	85	88	91	0	82	86	73	81	71	89	82	97	89	85	89	81	74	94	86	81	75	76	89	65	76	83	89	84	81	73	67	94	87	88	76	85	74	90	96	87	80	77	80	90	78	85	75	78	74	58	90	91	77	93	84	83	78	89	70	88	89	87	88	81	77	88
1450	82	79	94	90	78	85	90	91	82	79	79	85	82	83	96	94	85	72	88	98	83	94	82	0	51	100	84	79	93	75	83	85	75	88	87	78	96	77	90	77	89	81	77	67	91	79	95	75	88	69	73	87	77	91	74	81	97	98	91	72	96	60	85	93	91	72	89	85	80	79	92	91	80	95	85	92	84	80	67	86	78	65	68	91	90
2468	76	79	75	77	82	88	88	82	89	75	80	88	84	91	90	82	84	83	78	90	87	86	86	51	0	81	78	84	83	79	93	91	78	84	76	87	85	81	85	89	105	94	91	80	93	86	90	81	82	80	97	82	60	86	82	74	85	80	65	97	89	74	83	96	79	89	76	77	77	83	84	85	81	92	83	91	93	85	74	83	81	81	68	71	90
2062	81	84	82	83	67	86	82	73	75	94	77	85	73	84	79	79	77	88	85	77	88	71	73	100	81	0	80	84	86	83	92	71	75	68	84	73	74	81	99	90	81	91	71	89	86	82	86	84	73	77	85	90	84	87	104	71	79	93	81	79	78	92	103	82	93	79	88	88	88	88	83	85	79	86	101	82	70	74	87	88	86	82	80	94	87
716	87	86	84	75	75	77	82	86	86	81	87	76	94	73	86	79	73	86	76	90	84	92	81	84	78	80	0	92	70	84	92	78	72	73	78	87	83	95	86	80	76	68	75	78	76	83	83	88	82	87	97	76	86	73	86	85	79	79	82	87	93	75	85	70	93	88	96	78	78	97	96	96	81	88	78	79	82	86	101	76	89	88	81	82	90
1503	105	94	81	74	75	89	87	75	81	73	77	86	81	86	88	77	93	78	84	79	81	86	71	79	84	84	92	0	67	87	91	79	89	107	95	82	90	83	80	89	97	82	85	98	82	83	83	83	75	88	78	76	86	87	75	76	89	80	75	71	79	88	93	73	84	81	96	75	88	83	81	74	82	82	90	94	93	72	64	97	80	89	74	94	76
1816	94	91	93	91	73	85	95	79	93	75	74	84	79	87	91	73	83	82	84	83	96	87	89	93	83	86	70	67	0	64	85	80	83	73	93	90	91	79	82	81	85	103	83	82	90	93	90	80	65	81	83	74	80	90	74	80	87	71	73	76	84	93	83	80	69	85	83	101	85	77	94	90	76	86	94	84	73	84	84	89	89	86	85	82	93
932	78	86	78	90	81	83	88	91	92	88	90	88	73	88	89	82	87	76	87	90	75	85	82	75	79	83	84	87	64	0	85	74	88	83	82	79	85	81	81	74	89	71	92	79	72	83	91	84	89	80	87	79	89	75	70	79	93	85	92	83	86	84	78	76	95	89	75	75	84	85	85	91	96	97	86	61	88	81	96	86	85	84	88	83	78
48	73	74	86	74	89	68	77	78	82	76	83	90	94	88	88	69	80	90	69	84	87	81	97	83	93	92	92	91	85	85	0	88	85	86	91	83	88	79	94	77	88	83	76	88	87	91	87	83	79	82	74	78	82	72	80	98	93	81	79	80	77	91	90	79	84	69	85	78	80	81	77	97	77	87	90	76	75	85	81	87	82	95	92	86	79
384	87	75	89	89	92	80	83	72	87	88	82	81	83	92	91	79	83	90	80	81	76	89	89	85	91	71	78	79	80	74	88	0	84	81	79	77	78	78	83	80	98	76	80	86	102	84	86	76	87	84	81	76	75	80	86	97	79	86	88	83	89	78	94	87	76	67	78	88	85	83	83	83	88	96	82	74	84	98	82	88	86	80	67	75	85
694	86	73	92	82	98	88	83	71	75	82	104	87	80	89	79	82	91	82	91	69	85	80	85	75	78	75	72	89	83	88	85	84	0	80	90	80	89	83	72	74	74	85	104	73	79	89	91	86	81	71	69	74	82	86	95	86	82	87	93	100	87	82	90	76	82	73	82	87	82	74	84	81	90	75	85	79	94	84	66	78	80	81	99	87	79
1089	82	64	78	79	83	76	101	90	82	85	80	64	79	81	85	73	78	76	89	81	88	81	89	88	84	68	73	107	73	83	86	81	80	0	93	93	84	91	79	84	86	89	75	84	89	101	81	96	85	78	87	93	74	72	71	83	97	74	85	96	87	92	96	84	85	89	97	71	70	80	79	82	92	76	90	80	87	75	81	81	75	81	92	98	88
1983	81	69	84	79	98	85	89	82	82	86	78	69	96	80	84	75	84	81	85	75	74	83	81	87	76	84	78	95	93	82	91	79	90	93	0	84	73	101	81	96	90	84	78	81	94	81	64	88	77	84	59	88	76	91	92	81	79	83	89	83	82	96	75	70	87	76	84	93	83	87	72	68	88	72	79	98	78	85	69	82	89	82	95	83	77
316	80	76	88	94	85	91	74	69	77	76	98	87	81	83	88	76	77	95	86	87	70	94	74	78	87	73	87	82	90	79	83	77	80	93	84	0	86	76	95	76	91	79	89	95	84	78	84	77	77	75	89	88	89	94	82	89	85	94	85	88	80	78	66	69	85	68	91	78	96	85	84	84	69	74	78	100	82	82	93	83	98	82	79	72	90
548	66	82	86	93	92	83	88	75	83	93	91	88	89	72	76	83	97	78	82	84	88	76	94	96	85	74	83	90	91	85	88	78	89	84	73	86	0	83	78	74	87	82	73	75	75	66	84	78	73	92	100	80	95	83	89	71	85	92	75	82	73	87	77	93	77	84	86	70	83	76	79	82	85	87	77	82	87	86	85	89	85	95	99	82	81
2165	84	93	83	93	85	84	71	95	74	74	70	81	98	79	69	79	73	88	94	75	75	83	86	77	81	81	95	83	79	81	79	78	83	91	101	76	83	0	76	84	66	86	79	102	97	83	77	87	85	79	85	84	97	92	72	79	79	80	83	76	76	84	82	84	65	73	61	77	67	95	79	91	82	91	101	96	98	74	85	86	85	74	88	88	86
1676	80	75	71	88	81	89	89	76	78	78	94	85	70	74	92	87	75	93	84	70	80	102	81	90	85	99	86	80	82	81	94	83	72	79	81	95	78	76	0	77	76	93	85	79	82	74	90	88	91	96	88	84	90	78	81	80	79	73	84	76	81	84	84	86	89	90	72	87	92	90	78	92	84	91	78	97	89	76	81	82	88	78	78	90	96
364	83	83	94	79	85	86	91	96	87	92	76	79	96	100	89	81	61	73	86	67	79	101	75	77	89	90	80	89	81	74	77	80	74	84	96	76	74	84	77	0	77	80	82	88	84	81	75	87	70	92	77	90	85	94	85	95	71	92	80	104	83	87	88	80	76	70	83	81	83	81	70	85	79	93	98	86	75	84	74	91	66	60	75	87	95
84	75	83	85	83	83	96	78	82	83	83	83	70	83	80	69	88	75	80	73	75	80	87	76	89	105	81	76	97	85	89	88	98	74	86	90	91	87	66	76	77	0	82	83	81	90	80	88	87	77	88	76	88	96	75	75	93	79	83	94	66	64	94	86	95	78	76	98	85	78	88	75	87	71	75	85	83	95	83	83	85	77	86	82	89	86
1366	82	90	79	91	84	90	77	70	75	72	79	87	73	81	85	75	88	66	74	91	82	81	89	81	94	91	68	82	103	71	83	76	85	89	84	79	82	86	93	80	82	0	79	89	87	78	79	90	77	72	82	84	65	87	86	94	65	81	80	79	82	85	81	85	112	72	79	88	100	84	89	83	72	83	96	81	81	91	79	103	80	81	85	86	73
134	79	88	85	78	90	84	82	92	81	92	102	98	96	76	78	73	78	87	81	85	88	81	65	77	91	71	75	85	83	92	76	80	104	75	78	89	73	79	85	82	83	79	0	89	89	80	83	93	86	72	81	96	92	75	90	90	86	78	74	92	73	78	90	81	88	89	94	108	95	81	90	89	76	89	81	60	97	69	73	78	72	75	99	72	86
1023	84	78	81	97	73	94	77	91	82	79	83	105	75	82	89	83	90	94	84	86	79	76	76	67	80	89	78	98	82	79	88	86	73	84	81	95	75	102	79	88	81	89	89	0	82	77	80	78	89	79	75	86	76	84	64	77	84	85	79	77	87	86	74	96	92	90	76	85	80	86	88	89	85	76	80	76	89	96	92	78	89	87	82	81	87
2487	95	71	74	91	86	80	71	88	90	75	79	87	82	90	72	85	86	75	97	80	83	91	83	91	93	86	76	82	90	72	87	102	79	89	94	84	75	97	82	84	90	87	89	82	0	82	87	75	88	70	75	86	81	90	81	73	90	93	79	89	84	80	77	87	76	72	88	86	78	79	75	64	77	62	84	75	88	76	80	79	82	84	77	90	79
180	89	88	98	85	94	75	79	81	81	77	87	86	93	91	76	76	80	84	75	82	85	95	89	79	86	82	83	83	93	83	91	84	89	101	81	78	66	83	74	81	80	78	80	77	82	0	90	97	88	78	73	73	77	77	83	92	98	87	89	80	77	83	81	82	72	83	86	82	90	78	81	71	100	88	70	101	78	83	87	85	85	78	89	82	91
812	97	95	77	76	82	74	60	79	77	83	77	82	79	77	85	85	83	73	88	95	69	77	84	95	90	86	83	83	90	91	87	86	91	81	64	84	84	77	90	75	88	79	83	80	87	90	0	81	76	84	104	83	68	83	82	88	83	84	79	80	90	72	92	91	88	90	88	85	71	68	99	88	88	94	93	88	74	82	88	86	70	80	74	88	75
2237	94	88	75	86	74	81	72	99	76	90	87	74	81	72	68	83	75	92	73	75	86	83	81	75	81	84	88	83	80	84	83	76	86	96	88	77	78	87	88	87	87	90	93	78	75	97	81	0	77	82	78	86	79	71	69	90	86	71	91	94	77	90	91	82	90	86	79	79	83	88	89	80	92	78	79	89	102	80	85	91	89	74	80	79	87
2638	87	90	80	80	85	89	97	86	91	97	84	83	78	98	96	85	90	88	83	83	69	75	73	88	82	73	82	75	65	89	79	87	81	85	77	77	73	85	91	70	77	77	86	89	88	88	76	77	0	85	84	89	103	76	79	81	107	85	83	92	81	96	78	85	74	91	70	87	104	86	77	86	71	86	77	90	87	81	81	74	89	71	89	91	95
425	93	74	75	83	78	86	79	86	82	68	87	91	84	88	83	99	85	78	82	73	71	90	67	69	80	77	87	88	81	80	82	84	71	78	84	75	92	79	96	92	88	72	72	79	70	78	84	82	85	0	85	79	82	79	97	91	87	83	86	85	104	90	62	80	81	99	90	80	86	69	98	85	70	89	78	79	77	80	79	88	70	91	99	82	83
2340	61	87	72	75	77	72	89	95	78	71	81	97	87	101	76	90	84	84	81	72	94	82	94	73	97	85	97	78	83	87	74	81	69	87	59	89	100	85	88	77	76	82	81	75	75	73	104	78	84	85	0	85	90	88	80	82	89	79	78	91	91	82	81	73	87	91	95	91	84	79	66	83	76	87	81	73	82	74	79	90	78	98	101	92	77
894	85	87	91	81	78	81	74	86	76	87	84	89	85	85	85	81	62	94	105	94	79	74	87	87	82	90	76	76	74	79	78	76	74	93	88	88	80	84	84	90	88	84	96	86	86	73	83	86	89	79	85	0	77	84	81	88	93	99	76	74	94	92	100	81	84	90	79	71	86	76	64	78	62	72	78	97	96	67	81	71	67	80	80	84	99
1319	78	73	84	76	85	86	85	78	79	101	92	97	84	85	84	84	81	82	80	80	95	91	88	77	60	84	86	86	80	89	82	75	82	74	76	89	95	97	90	85	96	65	92	76	81	77	68	79	103	82	90	77	0	78	81	99	82	83	88	81	74	85	90	72	104	77	98	85	90	73	77	98	84	82	77	80	81	96	82	78	85	83	73	72	71
2549	70	92	86	79	84	88	85	82	90	85	77	76	73	92	97	82	101	79	92	88	65	81	76	91	86	87	73	87	90	75	72	80	86	72	91	94	83	92	78	94	75	87	75	84	90	77	83	71	76	79	88	84	78	0	96	86	87	82	87	86	76	81	81	87	82	77	80	79	95	74	91	72	88	91	93	78	83	87	79	78	83	88	79	63	93
612	84	83	98	89	76	81	93	97	90	70	81	78	86	82	86	91	94	99	85	75	76	87	85	74	82	104	86	75	74	70	80	86	95	71	92	82	89	72	81	85	75	86	90	64	81	83	82	69	79	97	80	81	81	96	0	87	88	86	89	91	88	80	81	89	71	87	79	74	77	82	92	72	88	85	81	76	83	79	97	77	79	80	79	83	77
2564	80	82	86	73	99	80	80	85	84	89	83	82	78	79	89	86	81	83	90	88	82	82	74	81	74	71	85	76	80	79	98	97	86	83	81	89	71	79	80	95	93	94	90	77	73	92	88	90	81	91	82	88	99	86	87	0	96	85	74	76	80	76	84	76	73	87	88	90	94	84	96	97	76	80	71	77	80	83	84	85	74	73	82	61	77
597	81	73	89	81	95	81	84	91	91	85	69	75	78	72	85	79	89	89	104	84	83	88	90	97	85	79	79	89	87	93	93	79	82	97	79	85	85	79	79	71	79	65	86	84	90	98	83	86	107	87	89	93	82	87	88	96	0	90	93	77	88	77	80	73	85	76	78	82	87	77	77	81	70	83	64	79	74	76	84	92	80	78	77	88	75
980	80	79	92	79	91	85	78	73	74	77	88	80	79	95	78	92	81	95	86	95	93	73	96	98	80	93	79	80	71	85	81	86	87	74	83	94	92	80	73	92	83	81	78	85	93	87	84	71	85	83	79	99	83	82	86	85	90	0	82	66	80	78	86	70	93	90	80	79	78	86	84	82	103	77	77	84	67	77	78	85	82	84	97	86	78
2437	79	73	76	91	88	86	77	75	80	97	80	86	78	78	72	91	84	87	95	76	82	91	87	91	65	81	82	75	73	92	79	88	93	85	89	85	75	83	84	80	94	80	74	79	79	89	79	91	83	86	78	76	88	87	89	74	93	82	0	90	92	95	75	80	84	86	77	87	84	75	101	78	98	94	93	82	75	87	79	85	84	86	76	79	63
1038	87	82	95	93	81	80	88	80	87	101	92	97	90	72	95	95	83	86	82	80	72	75	80	72	97	79	87	71	76	83	80	83	100	96	83	88	82	76	76	104	66	79	92	77	89	80	80	94	92	85	91	74	81	86	91	76	77	66	90	0	93	66	80	84	79	90	73	93	92	94	83	85	81	62	80	78	87	74	81	78	83	75	82	74	86
8	86	89	77	79	91	83	91	79	95	87	79	89	69	83	71	92	81	87	90	94	92	75	77	96	89	78	93	79	84	86	77	89	87	87	82	80	73	76	81	83	64	82	73	87	84	77	90	77	81	104	91	94	74	76	88	80	88	80	92	93	0	75	84	94	83	83	83	76	91	78	92	85	91	72	100	84	79	89	87	73	82	84	78	97	69
302	79	93	71	84	98	88	85	86	95	83	86	90	86	69	86	84	82	74	79	84	80	87	80	60	74	92	75	88	93	84	91	78	82	92	96	78	87	84	84	87	94	85	78	86	80	83	72	90	96	90	82	92	85	81	80	76	77	78	95	66	75	0	82	89	74	83	78	76	89	90	83	84	77	72	76	90	89	90	83	81	87	79	71	72	90
457	84	81	73	93	79	72	77	77	91	69	89	80	88	84	85	86	79	85	89	68	77	81	90	85	83	103	85	93	83	78	90	94	90	96	75	66	77	82	84	88	86	81	90	74	77	81	92	91	78	62	81	100	90	81	81	84	80	86	75	80	84	82	0	92	86	76	78	97	89	70	86	90	87	89	92	98	81	84	90	70	83	91	85	87	64
1138	84	103	66	92	83	84	98	85	74	78	77	72	71	87	88	75	92	82	96	81	74	86	78	93	96	82	70	73	80	76	79	87	76	84	70	69	93	84	86	80	95	85	81	96	87	82	91	82	85	80	73	81	72	87	89	76	73	70	80	84	94	89	92	0	78	74	83	77	84	82	75	81	87	79	78	77	83	89	69	91	80	84	88	79	94
1739	75	84	89	85	59	90	76	99	95	78	74	68	88	85	90	92	98	85	96	81	89	74	85	91	79	93	93	84	69	95	84	76	82	85	87	85	77	65	89	76	78	112	88	92	76	72	88	90	74	81	87	84	104	82	71	73	85	93	84	79	83	74	86	78	0	83	84	92	80	74	81	84	79	81	80	78	78	88	100	91	83	77	68	96	64
399	87	85	66	85	71	81	106	71	85	92	82	87	91	99	80	84	77	81	93	80	89	84	75	72	89	79	88	81	85	89	69	67	73	89	76	68	84	73	90	70	76	72	89	90	72	83	90	86	91	99	91	90	77	77	87	87	76	90	86	90	83	83	76	74	83	0	84	82	84	86	87	82	84	86	69	84	78	96	95	73	85	86	103	69	111
1758	80	88	72	86	79	83	86	91	77	89	71	70	91	84	89	79	75	99	84	88	86	66	78	89	76	88	96	96	83	75	85	78	82	97	84	91	86	61	72	83	98	79	94	76	88	86	88	79	70	90	95	79	98	80	79	88	78	80	77	73	83	78	78	83	84	84	0	88	73	74	72	99	73	79	106	77	86	88	82	85	73	88	98	88	78
2599	80	87	81	76	79	78	90	89	84	90	69	88	64	76	86	94	70	90	80	95	72	86	74	85	77	88	78	75	101	75	78	88	87	71	93	78	70	77	87	81	85	88	108	85	86	82	85	79	87	80	91	71	85	79	74	90	82	79	87	93	76	76	97	77	92	82	88	0	77	91	89	84	75	84	86	95	84	82	93	66	73	80	89	87	79
2023	86	96	88	75	99	83	81	77	76	90	90	86	75	92	63	79	79	89	86	83	88	74	58	80	77	88	78	88	85	84	80	85	82	70	83	96	83	67	92	83	78	100	95	80	78	90	71	83	104	86	84	86	90	95	77	94	87	78	84	92	91	89	89	84	80	84	73	77	0	75	100	78	77	71	99	82	74	83	92	69	66	90	82	90	74
115	80	85	80	82	84	89	77	75	77	87	86	96	85	85	102	80	75	74	76	80	80	62	90	79	83	88	97	83	77	85	81	83	74	80	87	85	76	95	90	81	88	84	81	86	79	78	68	88	86	69	79	76	73	74	82	84	77	86	75	94	78	90	70	82	74	86	74	91	75	0	89	72	85	82	86	90	82	83	100	82	90	89	88	82	97
1885	83	78	79	63	74	89	84	89	90	79	92	76	90	71	68	82	105	92	86	93	88	78	91	92	84	83	96	81	94	85	77	83	84	79	72	84	79	79	78	70	75	89	90	88	75	81	99	89	77	98	66	64	77	91	92	96	77	84	101	83	92	83	86	75	81	87	72	89	100	89	0	79	102	92	71	75	80	91	75	74	77	84	74	74	71
1296	87	71	83	71	87	75	88	79	94	83	83	94	82	81	74	84	93	93	79	86	88	69	77	91	85	85	96	74	90	91	97	83	81	82	68	84	82	91	92	85	87	83	89	89	64	71	88	80	86	85	83	78	98	72	72	97	81	82	78	85	85	84	90	81	84	82	99	84	78	72	79	0	76	84	76	84	68	93	94	92	78	97	77	84	88
1212	100	85	71	81	96	75	95	86	88	80	103	79	86	66	74	85	82	82	77	89	96	84	93	80	81	79	81	82	76	96	77	88	90	92	88	69	85	82	84	79	71	72	76	85	77	100	88	92	71	70	76	62	84	88	88	76	70	103	98	81	91	77	87	87	79	84	73	75	77	85	102	76	0	84	79	72	77	87	85	88	89	84	74	85	83
2423	81	82	79	80	72	72	83	83	79	89	80	83	74	78	88	79	91	84	90	96	76	76	84	95	92	86	88	82	86	97	87	96	75	76	72	74	87	91	91	93	75	83	89	76	62	88	94	78	86	89	87	72	82	91	85	80	83	77	94	62	72	72	89	79	81	86	79	84	71	82	92	84	84	0	98	56	99	84	84	90	87	97	106	87	92

1390	90	104	80	90	71	83	86	80	71	77	67	80	84	77	82	70	83	84	97	65	109	90	83	85	83	101	78	90	94	86	90	82	85	90	79	78	77	101	78	98	85	96	81	80	84	70	93	79	77	78	81	78	77	93	81	71	64	77	93	80	100	76	92	78	80	69	106	86	99	86	71	76	79	98	0	69	80	80	83	86	73	80	89	80	78
839	89	87	83	90	69	84	82	75	86	93	85	88	73	82	74	80	72	78	76	85	88	100	78	92	91	82	79	94	84	61	76	74	79	80	98	100	82	96	97	86	83	81	60	76	75	101	88	89	90	79	73	97	80	78	76	77	79	84	82	78	84	90	98	77	78	84	77	95	82	90	75	84	72	56	69	0	77	84	83	75	97	102	78	75	94
226	91	87	92	76	83	72	81	89	80	87	74	82	96	82	66	106	87	87	69	84	81	73	89	84	93	70	82	93	73	88	75	84	94	87	78	82	87	98	89	75	95	81	97	89	88	78	74	102	87	77	82	96	81	83	83	80	74	67	75	87	79	89	81	83	78	78	86	84	74	82	80	68	77	99	80	77	0	85	80	97	92	91	78	84	81
168	75	77	89	81	83	87	88	76	97	86	85	95	89	81	83	95	84	77	81	84	90	79	70	80	85	74	86	72	84	81	85	98	84	75	85	82	86	74	76	84	83	91	69	96	76	83	82	80	81	80	74	67	96	87	79	83	76	77	87	74	89	90	84	89	88	96	88	82	83	83	91	93	87	84	80	84	85	0	88	75	99	85	73	77	78
2354	73	93	88	81	82	83	77	84	75	83	85	69	85	79	73	71	89	77	84	81	78	76	88	67	74	87	101	64	84	96	81	82	66	81	69	93	85	85	81	74	83	79	73	92	80	87	88	85	81	79	79	81	82	79	97	84	84	78	79	81	87	83	90	69	100	95	82	93	92	100	75	94	85	84	83	83	80	88	0	69	93	99	75	86	85
1254	71	104	76	75	86	77	89	81	82	90	86	80	89	77	90	88	89	80	78	81	87	88	89	86	83	88	76	97	89	86	87	88	78	81	82	83	89	86	82	91	85	103	78	78	79	85	86	91	74	88	90	71	78	78	77	85	92	85	85	78	73	81	70	91	91	73	85	66	69	82	74	92	88	90	86	75	97	75	69	0	78	82	87	77	93
1523	76	79	95	93	86	103	90	89	95	90	89	68	86	74	80	80	101	87	71	95	77	86	87	78	81	86	89	80	89	85	82	86	80	75	89	98	85	85	88	66	77	80	72	89	82	85	70	89	89	70	78	67	85	83	79	74	80	82	84	83	82	87	83	80	83	85	73	73	66	90	77	78	89	87	73	97	92	99	93	78	0	76	82	105	70
2621	91	78	60	76	81	74	82	87	74	83	81	88	82	77	94	80	71	89	84	91	81	73	88	65	81	82	88	89	86	84	95	80	81	81	82	82	95	74	78	60	86	81	75	87	84	78	80	74	71	91	98	80	83	88	80	73	78	84	86	75	84	79	91	84	77	86	88	80	90	89	84	97	84	97	80	102	91	85	99	82	76	0	84	98	88
1576	85	85	79	80	90	76	82	79	87	73	78	91	89	90	91	79	71	79	81	86	90	91	81	68	68	80	81	74	85	88	92	67	99	92	95	79	99	88	78	75	82	85	99	82	77	89	74	80	89	99	101	80	73	79	79	82	77	97	76	82	78	71	85	88	68	103	98	89	82	88	74	77	74	106	89	78	78	73	75	87	82	84	0	77	78
509	85	74	71	90	86	91	97	80	68	80	85	81	77	76	71	88	88	77	92	78	97	81	77	91	71	94	82	94	82	83	86	75	87	98	83	72	82	88	90	87	89	86	72	81	90	82	88	79	91	82	92	84	72	63	83	61	88	86	79	74	97	72	87	79	96	69	88	87	90	82	74	84	85	87	80	75	84	77	86	77	105	98	77	0	87
1595	71	98	77	89	74	85	78	85	89	77	77	90	82	78	80	81	94	85	84	76	74	89	88	90	90	87	90	76	93	78	79	85	79	88	77	90	81	86	96	95	86	73	86	87	79	91	75	87	95	83	77	99	71	93	77	77	75	78	63	86	69	90	64	94	64	111	78	79	74	97	71	88	83	92	78	94	81	78	85	93	70	88	78	87	0

I think it’s safe to say that this problem has been solved.

20

i finally got it to work, but i was at the wrong directory, i didnt go into the windows folder