n=992;
m=992;
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1,4|
4,5|
4,6|
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6,12|
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12,14|
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278,513|
276,116|
553,459|
579,458|
411,586|
20,831|
685,214|
428,722|
36,185|
536,679|
135,967|
834,695|
631,20|
25,55|
896,630|
869,341|
47,533|
359,656|
988,444|
259,438|
687,764|
647,158|
769,517|
414,547|
753,418|
954,957|
181,221|
60,102|
98,809|
357,924|
416,128|
266,663|
266,915|
178,627|
10,759|
56,442|
543,961|
94,834|
818,783|
652,171|
212,106|
151,538|
96,265|
372,880|
804,394|
701,426|
787,762|
474,766|
638,245|
788,101|
323,4|
645,860|
231,754|
520,406|
936,961|
582,583|
520,588|
914,513|
385,805|
381,874|
497,619|
30,603|
67,3|
78,714|
138,769|
49,119|
936,279|
639,426|
627,388|
114,236|
347,838|
876,288|
226,796|
93,290|
135,881|
367,7|
66,608|
436,430|
985,256|
641,459|
774,51|
54,11|
227,252|
498,961|
192,703|
377,377|
616,369|
882,892|
282,503|
449,407|
209,202|
359,235|
546,782|
787,552|
261,209|
579,475|
753,566|
778,256|
619,313|
621,301|
868,750|
358,13|
981,567|
461,678|
658,208|
584,246|
354,351|
737,729|
941,367|
705,260|
954,90|
363,40|
141,374|
883,501|
380,422|
305,508|
81,694|
938,411|
16,649|
896,757|
751,189|
540,937|
210,418|
832,218|
40,710|
44,192|
361,814|
176,139|
316,870|
256,487|
822,761|
186,432|
514,546|
470,452|
818,593|
15,240|
856,261|
706,597|
405,629|
122,727|
820,115|
690,963|
617,710|
195,814|
797,237|
201,782|
818,124|
31,819|
462,83|
795,957|
102,23|
612,225|
526,703|
122,830|
401,141|
187,713|
31,764|
814,291|
247,505|
894,717|
58,210|
352,864|
100,77|
988,986|
430,308|
573,969|
201,858|
880,308|
14,247|
280,967|
503,194|
647,151|
776,752|
769,135|
133,912|
358,623|
141,377|
732,125|
407,407|
927,293|
191,775|
505,345|
760,903|
794,413|
282,70|
368,959|
852,61|
236,773|
936,643|
639,58|
906,41|
639,932|
138,709|
527,420|
281,469|
499,394|
639,923|
696,936|
56,338|
512,368|
201,56|
118,553|
751,958|
98,814|
654,699|
596,932|
87,267|
336,390|
304,518|
678,338|
716,506|
533,432|
181,288|
151,531|
310,232|
804,425|
431,665|
8,731|
105,762|
36,373|
229,822|
53,46|
62,980|
396,263|
749,9|
346,636|
358,335|
108,452|
853,875|
919,152|
97,194|
676,838|
309,524|
427,302|
256,916|
369,550|
159,550|
870,781|
837,715|
799,674|
619,767|
686,637|
834,433|
248,126|
43,7|
829,919|
439,702|
616,8|
302,256|
103,606|
24,460|
319,144|
131,56|
303,503|
382,372|
914,49|
665,181|
210,524|
383,943|
864,128|
614,190|
515,652|
382,357|
217,372|
909,349|
702,601|
936,750|
906,986|
426,195|
92,257|
132,333|
586,643|
576,424|
148,498|
675,661|
452,144|
992,358|
836,833|
689,277|
954,192|
566,548|
627,399|
78,816|
706,916|
803,784|
787,204|
8,422|
766,135|
720,848|
93,818|
581,233|
348,261|
412,219|
788,447|
478,417|
397,546|
524,74|
157,57|
982,258|
799,690|
847,328|
703,270|
23,673|
811,755|
82,950|
132,729|
99,689|
622,638|
188,286|
178,925|
783,405|
895,426|
416,426|
921,136|
32,911|
592,181|
573,136|
356,133|
351,744|
743,222|
779,348|
311,839|
209,67|
16,202|
729,31|
771,104|
564,378|
128,19|
779,463|
583,575|
673,47|
21,359|
45,548|
814,67|
108,457|
955,849|
753,182|
610,129|
140,759|
567,346|
385,329|
307,591|
728,93|
984,636|
509,789|
849,289|
183,911|
794,903|
799,819|
144,342|
574,217|
882,220|
630,731|
600,760|
50,597|
32,567|
824,931|
902,936|
748,151|
163,966|
452,468|
906,963|
526,370|
885,287|
488,48|
803,615|
545,354|
972,21|
318,474|
56,797|
265,414|
550,979|
987,500|
459,791|
294,267|
848,228|
825,475|
770,307|
342,979|
590,957|
947,578|
684,134|
864,181|
381,188|
23,860|
162,426|
418,237|
85,955|
398,79|
679,435|
642,466|
47,343|
166,99|
493,947|
677,567|
439,263|
413,920|
973,393|
285,209|
737,615|
226,845|
852,546|
577,808|
989,436|
330,148|
78,814|
692,694|
272,6|
927,581|
60,61|
975,907|
732,80|
20,309|
828,820|
726,464|
885,451|
819,806|
366,606|
598,105|
378,906|
753,899|
590,782|
989,732|
605,802|
913,386|
375,674|
454,374|
351,943|
230,318|
652,754|
262,369|
639,333|
692,140|
422,509|
89,405|
119,395|
720,422|
366,403|
266,134|
278,313|
459,147|
617,113|
869,252|
128,777|
976,916|
909,813|
197,376|
756,126|
941,645|
709,681|
248,314|
365,138|
711,379|
747,352|
500,486|
55,880|
193,429|
487,746|
362,879|
904,886|
778,178|
387,256|
240,684|
331,957|
667,238|
850,609|
280,418|
632,650|
381,207|
586,192|
93,838|
820,347|
285,82|
516,746|
163,980|
461,467|
758,298|
35,497|
216,66|
635,386|
79,749|
420,8|
417,237|
800,287|
80,858|
149,129|
177,454|
338,523|
86,683|
12,536|
240,529|
828,685|
756,941|
702,376|
55,747|
476,299|
173,222|
779,580|
369,851|
666,664|
310,807|
601,792|
227,898|
991,748|
552,633|
965,414|
50,583|
409,310|
387,344|
753,822|
787,42|
193,863|
236,420|
156,725|
168,426|
245,678|
353,986|
655,155|
435,393|
829,941|
250,856|
722,219|
471,155|
13,440|
675,910|
88,883|
639,198|
306,333|
167,379|
238,139|
967,380|
333,70|
914,760|
830,572|
497,690|
705,78|
239,427|
790,349|
532,465|
442,493|
433,854|
244,66|
364,550|
541,255|
706,953|
387,772|
703,828|
206,947|
865,775|
451,11|
798,540|
259,538|
202,580|
236,774|
989,357|
661,25|
234,158|
424,790|
380,195|
588,861|
555,875|
719,1|
659,657|
498,909|
116,47|
521,894|
791,306|
872,549|
608,818|
364,477|
618,640|
350,914|
466,488|
184,886|
121,718|
393,975|
383,734|
433,883|
120,497|
628,769|
940,579|
606,904|
449,43|
972,541|
756,441|
372,873|
223,908|
521,126|
217,660|
267,725|
721,165|
632,465|
557,390|
319,890|
182,345|
934,484|
942,170|
906,320|
398,505|
192,741|
612,274|
41,787|
4,246|
666,746|
822,479|
838,47|
368,904|
354,113|
574,244|
289,872|
659,735|
647,565|
352,779|
649,748|
33,774|
553,947|
959,419|
390,728|
860,609|
361,491|
648,390|
821,485|
461,516|
395,920|
166,520|
309,697|
636,142|
229,901|
61,716|
378,940|
455,827|
990,396|
498,492|
936,177|
776,778|
927,935|
771,417|
780,961|
960,768|
764,633|
192,413|
870,33|
765,3|
507,722|
544,811|
641,550|
683,259|
964,715|
482,480|
9,538|
853,882|
165,564|
949,750|
860,575|
296,563|
481,786|
538,787|
311,225|
415,825|
567,92|
366,727|
168,848|
185,664|
703,132|
38,443|
395,609|
497,630|
790,253|
755,379|
374,177|
98,401|
388,810|
399,334|
526,389|
369,100|
590,493|
218,644|
413,861|
600,660|
302,352|
511,689|
490,500|
470,849|
68,112|
10,577|
921,483|
119,764|
832,285|
365,45|
228,706|
307,375|
290,627|
866,510|
717,109|
772,767|
253,118|
768,426|
28,901|
148,986|
279,854|
800,544|
534,152|
712,392|
397,471|
454,541|
274,682|
472,125|
898,172|
587,173|
261,111|
359,560|
46,698|
179,986|
589,486|
81,519|
352,887|
514,774|
830,667|
407,19|
407,781|
188,169|
581,882|
113,835|
72,822|
359,708|
704,682|
2,450|
368,33|
885,589|
601,439|
38,910|
801,719|
350,543|
988,56|
319,576|
128,544|
182,869|
458,264|
695,205|
447,902|
912,391|
875,836|
243,904|
501,527|
525,8|
641,881|
747,931|
551,553|
775,398|
692,466|
830,107|
117,298|
643,334|
245,914|
832,330|
568,100|
107,906|
772,436|
607,72|
798,131|
18,974|
766,924|
213,155|
56,147|
521,691|
787,943|
713,146|
745,217|
246,105|
982,964|
559,685|
886,780|
61,453|
345,984|
59,227|
802,883|
990,910|
79,169|
86,364|
355,692|
301,376|
139,565|
336,193|
957,340|
987,218|
98,971|
891,680|
542,992|
688,206|
553,244|
118,587|
168,848|
862,193|
192,894|
499,663|
859,466|
37,656|
71,278|
777,927|
360,539|
545,857|
257,547|
776,269|
583,97|
699,615|
114,21|
932,304|
650,896|
964,461|
402,63|
876,177|
199,132|
1,698|
50,738|
605,789|
338,344|
381,842|
827,68|
553,384|
798,537|
102,65|
937,564|
463,765|
204,38|
492,253|
538,446|
185,369|
301,460|
928,416|
808,451|
178,191|
189,956|
548,649|
243,100|
225,669|
885,167|
548,477|
742,143|
761,652|
835,773|
667,259|
2,809|
113,312|
631,163|
189,862|
746,187|
395,862|
461,626|
300,458|
703,745|
867,840|
503,432|
447,917|
322,5|
960,820|
593,903|
546,754|
938,664|
290,894|
299,877|
290,562|
784,26|
784,692|
803,189|
986,445|
628,973|
10,95|
961,467|
5,656|
659,51|
520,621|
434,964|
435,925|
120,90|
590,767|
6,913|
554,467|
457,283|
34,88|
944,570|
628,415|
134,711|
560,314|
205,803|
1,871|
452,200|
354,793|
986,226|
735,467|
812,557|
951,495|
901,792|
204,268|
109,836|
988,372|
735,144|
304,136|
336,77|
919,621|
707,480|
276,499|
366,283|
878,391|
293,297|
607,542|
817,817|
77,852|
888,631|
606,905|
677,364|
20,669|
714,692|
395,568|
454,144|
180,427|
901,923|
362,428|
750,321|
719,79|
653,63|
571,891|
724,313|
523,813|
803,392|
729,424|
873,889|
937,94|
402,948|
968,433|
357,846|
561,266|
34,356|
262,460|
661,528|
821,828|
123,634|
146,500|
894,664|
820,546|
573,765|
723,970|
228,409|
411,451|
169,18|
677,802|
298,93|
393,786|
285,329|
275,386|
700,678|
402,564|
306,929|
942,617|
362,269|
356,244|
531,673|
592,193|
660,955|
728,527|
989,75|
281,776|
564,153|
937,270|
210,903|
784,762|
934,192|
804,221|
165,554|
345,905|
578,201|
673,68|
815,963|
892,492|
720,501|
886,835|
786,258|
12,291|
369,702|
690,722|
97,935|];