n=991;
m=991;
road=[|1,2|
2,3|
2,4|
3,5|
3,6|
1,7|
2,8|
8,9|
5,10|
8,11|
9,12|
5,13|
5,14|
12,15|
11,16|
7,17|
10,18|
3,19|
9,20|
15,21|
20,22|
8,23|
12,24|
15,25|
17,26|
19,27|
27,28|
6,29|
17,30|
25,31|
7,32|
10,33|
10,34|
6,35|
12,36|
25,37|
20,38|
37,39|
10,40|
27,41|
9,42|
3,43|
14,44|
16,45|
36,46|
29,47|
7,48|
47,49|
13,50|
43,51|
21,52|
12,53|
23,54|
22,55|
20,56|
53,57|
45,58|
16,59|
12,60|
60,61|
12,62|
8,63|
56,64|
13,65|
47,66|
21,67|
3,68|
63,69|
53,70|
59,71|
41,72|
4,73|
45,74|
53,75|
66,76|
68,77|
20,78|
21,79|
39,80|
49,81|
71,82|
78,83|
69,84|
55,85|
65,86|
3,87|
83,88|
3,89|
32,90|
85,91|
72,92|
77,93|
74,94|
54,95|
53,96|
75,97|
41,98|
51,99|
37,100|
65,101|
69,102|
59,103|
39,104|
81,105|
60,106|
92,107|
8,108|
27,109|
89,110|
37,111|
64,112|
76,113|
67,114|
91,115|
81,116|
49,117|
43,118|
93,119|
23,120|
86,121|
109,122|
6,123|
4,124|
78,125|
101,126|
106,127|
121,128|
83,129|
10,130|
86,131|
29,132|
85,133|
52,134|
16,135|
35,136|
109,137|
105,138|
130,139|
128,140|
53,141|
117,142|
22,143|
115,144|
107,145|
55,146|
65,147|
29,148|
74,149|
142,150|
46,151|
136,152|
13,153|
109,154|
35,155|
41,156|
127,157|
49,158|
113,159|
147,160|
80,161|
151,162|
110,163|
15,164|
40,165|
122,166|
151,167|
14,168|
80,169|
61,170|
44,171|
112,172|
115,173|
18,174|
64,175|
141,176|
103,177|
47,178|
34,179|
150,180|
118,181|
142,182|
156,183|
131,184|
169,185|
148,186|
130,187|
81,188|
18,189|
24,190|
160,191|
95,192|
75,193|
164,194|
191,195|
45,196|
100,197|
145,198|
124,199|
103,200|
76,201|
88,202|
129,203|
203,204|
196,205|
134,206|
123,207|
181,208|
58,209|
160,210|
203,211|
20,212|
140,213|
34,214|
153,215|
110,216|
144,217|
199,218|
186,219|
65,220|
68,221|
55,222|
202,223|
206,224|
12,225|
141,226|
214,227|
164,228|
9,229|
188,230|
109,231|
23,232|
43,233|
66,234|
136,235|
127,236|
173,237|
103,238|
148,239|
41,240|
44,241|
73,242|
63,243|
52,244|
42,245|
147,246|
223,247|
34,248|
177,249|
37,250|
172,251|
170,252|
222,253|
73,254|
114,255|
220,256|
5,257|
37,258|
37,259|
137,260|
214,261|
152,262|
207,263|
97,264|
47,265|
94,266|
40,267|
252,268|
209,269|
39,270|
258,271|
100,272|
2,273|
166,274|
260,275|
120,276|
59,277|
195,278|
232,279|
257,280|
172,281|
199,282|
84,283|
236,284|
55,285|
187,286|
168,287|
189,288|
228,289|
271,290|
77,291|
145,292|
225,293|
217,294|
122,295|
57,296|
66,297|
93,298|
33,299|
28,300|
81,301|
296,302|
36,303|
7,304|
85,305|
261,306|
222,307|
145,308|
167,309|
153,310|
61,311|
138,312|
176,313|
271,314|
26,315|
135,316|
160,317|
261,318|
129,319|
251,320|
313,321|
145,322|
306,323|
233,324|
12,325|
320,326|
1,327|
91,328|
101,329|
170,330|
270,331|
253,332|
134,333|
144,334|
58,335|
305,336|
181,337|
333,338|
335,339|
4,340|
238,341|
257,342|
277,343|
138,344|
159,345|
29,346|
243,347|
343,348|
55,349|
332,350|
170,351|
74,352|
229,353|
159,354|
48,355|
11,356|
35,357|
189,358|
252,359|
284,360|
171,361|
185,362|
174,363|
244,364|
8,365|
161,366|
163,367|
226,368|
69,369|
109,370|
111,371|
100,372|
180,373|
7,374|
50,375|
118,376|
164,377|
183,378|
164,379|
158,380|
84,381|
349,382|
110,383|
241,384|
173,385|
125,386|
64,387|
293,388|
138,389|
346,390|
5,391|
184,392|
325,393|
376,394|
255,395|
45,396|
93,397|
267,398|
282,399|
223,400|
95,401|
1,402|
371,403|
180,404|
91,405|
32,406|
257,407|
298,408|
281,409|
93,410|
379,411|
159,412|
154,413|
299,414|
43,415|
246,416|
386,417|
192,418|
307,419|
52,420|
44,421|
212,422|
364,423|
133,424|
238,425|
259,426|
154,427|
392,428|
141,429|
142,430|
236,431|
329,432|
40,433|
228,434|
28,435|
150,436|
126,437|
147,438|
208,439|
234,440|
379,441|
245,442|
392,443|
296,444|
196,445|
89,446|
269,447|
188,448|
300,449|
428,450|
366,451|
162,452|
58,453|
201,454|
154,455|
16,456|
418,457|
396,458|
288,459|
111,460|
225,461|
379,462|
300,463|
98,464|
77,465|
372,466|
91,467|
422,468|
346,469|
18,470|
442,471|
268,472|
320,473|
320,474|
460,475|
187,476|
88,477|
454,478|
122,479|
433,480|
64,481|
396,482|
168,483|
213,484|
55,485|
323,486|
141,487|
287,488|
186,489|
166,490|
173,491|
168,492|
106,493|
15,494|
304,495|
283,496|
312,497|
358,498|
7,499|
162,500|
125,501|
45,502|
125,503|
466,504|
417,505|
315,506|
3,507|
366,508|
154,509|
153,510|
383,511|
46,512|
472,513|
73,514|
501,515|
53,516|
508,517|
86,518|
191,519|
64,520|
463,521|
311,522|
315,523|
47,524|
183,525|
86,526|
490,527|
171,528|
452,529|
428,530|
473,531|
60,532|
33,533|
124,534|
398,535|
299,536|
251,537|
179,538|
250,539|
400,540|
192,541|
343,542|
486,543|
161,544|
138,545|
505,546|
233,547|
56,548|
114,549|
55,550|
378,551|
371,552|
155,553|
21,554|
246,555|
365,556|
505,557|
245,558|
402,559|
338,560|
291,561|
26,562|
297,563|
400,564|
278,565|
138,566|
479,567|
449,568|
398,569|
276,570|
113,571|
246,572|
348,573|
541,574|
366,575|
432,576|
118,577|
120,578|
364,579|
560,580|
482,581|
296,582|
445,583|
383,584|
479,585|
217,586|
144,587|
535,588|
469,589|
186,590|
504,591|
417,592|
106,593|
199,594|
124,595|
377,596|
340,597|
95,598|
189,599|
86,600|
359,601|
90,602|
262,603|
491,604|
249,605|
377,606|
228,607|
19,608|
196,609|
81,610|
486,611|
519,612|
284,613|
43,614|
236,615|
238,616|
523,617|
170,618|
155,619|
351,620|
582,621|
513,622|
439,623|
207,624|
368,625|
415,626|
343,627|
205,628|
63,629|
10,630|
133,631|
305,632|
108,633|
464,634|
548,635|
567,636|
276,637|
447,638|
229,639|
450,640|
156,641|
576,642|
180,643|
106,644|
418,645|
69,646|
421,647|
107,648|
202,649|
79,650|
81,651|
554,652|
586,653|
640,654|
85,655|
325,656|
423,657|
456,658|
129,659|
299,660|
639,661|
305,662|
451,663|
384,664|
91,665|
648,666|
10,667|
313,668|
431,669|
206,670|
362,671|
63,672|
158,673|
459,674|
301,675|
589,676|
197,677|
357,678|
659,679|
523,680|
599,681|
585,682|
204,683|
227,684|
137,685|
268,686|
63,687|
229,688|
346,689|
43,690|
486,691|
316,692|
571,693|
179,694|
70,695|
668,696|
598,697|
620,698|
595,699|
553,700|
204,701|
570,702|
470,703|
650,704|
345,705|
452,706|
411,707|
195,708|
195,709|
33,710|
587,711|
531,712|
123,713|
272,714|
126,715|
651,716|
210,717|
199,718|
686,719|
429,720|
237,721|
152,722|
440,723|
587,724|
702,725|
671,726|
523,727|
106,728|
198,729|
540,730|
200,731|
671,732|
705,733|
454,734|
105,735|
425,736|
296,737|
706,738|
433,739|
233,740|
323,741|
189,742|
95,743|
640,744|
437,745|
124,746|
446,747|
349,748|
579,749|
572,750|
455,751|
191,752|
142,753|
65,754|
206,755|
640,756|
248,757|
352,758|
270,759|
607,760|
619,761|
661,762|
597,763|
251,764|
143,765|
316,766|
24,767|
168,768|
53,769|
37,770|
425,771|
31,772|
584,773|
707,774|
433,775|
707,776|
213,777|
183,778|
90,779|
669,780|
218,781|
436,782|
429,783|
614,784|
416,785|
436,786|
302,787|
247,788|
345,789|
145,790|
774,791|
179,792|
342,793|
560,794|
634,795|
330,796|
243,797|
400,798|
706,799|
569,800|
79,801|
650,802|
350,803|
274,804|
567,805|
487,806|
153,807|
732,808|
758,809|
44,810|
380,811|
463,812|
23,813|
163,814|
65,815|
726,816|
641,817|
52,818|
689,819|
351,820|
761,821|
549,822|
170,823|
478,824|
195,825|
613,826|
695,827|
422,828|
154,829|
160,830|
634,831|
612,832|
229,833|
552,834|
652,835|
56,836|
673,837|
353,838|
378,839|
707,840|
529,841|
48,842|
284,843|
236,844|
558,845|
670,846|
489,847|
281,848|
750,849|
779,850|
154,851|
404,852|
714,853|
630,854|
705,855|
78,856|
48,857|
57,858|
823,859|
475,860|
502,861|
123,862|
808,863|
46,864|
519,865|
540,866|
201,867|
343,868|
388,869|
264,870|
715,871|
514,872|
34,873|
479,874|
110,875|
86,876|
840,877|
561,878|
229,879|
791,880|
481,881|
226,882|
741,883|
64,884|
380,885|
295,886|
833,887|
872,888|
635,889|
262,890|
333,891|
855,892|
519,893|
471,894|
203,895|
769,896|
142,897|
810,898|
270,899|
365,900|
214,901|
23,902|
771,903|
733,904|
326,905|
300,906|
85,907|
98,908|
169,909|
20,910|
304,911|
299,912|
479,913|
495,914|
485,915|
736,916|
485,917|
622,918|
176,919|
198,920|
645,921|
371,922|
125,923|
690,924|
5,925|
217,926|
524,927|
177,928|
891,929|
421,930|
48,931|
610,932|
56,933|
141,934|
587,935|
75,936|
199,937|
816,938|
901,939|
518,940|
689,941|
828,942|
358,943|
272,944|
815,945|
763,946|
826,947|
251,948|
879,949|
160,950|
922,951|
165,952|
585,953|
883,954|
743,955|
317,956|
502,957|
310,958|
755,959|
556,960|
820,961|
182,962|
232,963|
167,964|
281,965|
503,966|
781,967|
78,968|
834,969|
842,970|
593,971|
534,972|
673,973|
904,974|
857,975|
162,976|
496,977|
720,978|
313,979|
451,980|
582,981|
452,982|
252,983|
102,984|
6,985|
632,986|
621,987|
509,988|
274,989|
108,990|
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61,61|
662,662|
108,108|
785,785|
968,968|
678,678|
328,328|
282,282|
349,349|
8,8|
875,875|
949,949|
506,506|
897,897|
314,314|
310,310|
556,556|
58,58|
798,798|
491,491|
594,594|
280,280|
826,826|
496,496|];