{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":61063,"title":"The Bridges of Nedsburg","description":"The fabled city of Nedsburg consists of several islands connected by bridges. Due to tectonic forces, shoddy civil engineering, and the whims of the city's capricious dictator, Lord Ned, the number of islands and the arrangement of bridges are constantly changing.\r\nTherefore, instead of a map, visitors to Nedsburg are given a connectivity matrix (C): a square matrix of 0s and 1s, where C(j,k) = 1 if there is a bridge from island j to island k, and C(j,k) = 0 if not. Lord Ned’s diabolical nature means that the bridges can be one-way only. This means C is not necessarily symmetric. That is, it is possible to have C(j,k) = 1 (you can travel directly from island j to island k) and C(k,j) = 0 (you can’t travel directly from island k to island j).\r\nBecause Lord Ned likes to torture visitors with math problems, the Nedsburg transit system has an n-bridge pass which allows you to cross up to n bridges in one journey. Not surprisingly, the pricing scheme gets eye-wateringly expensive as n increases and once you purchase your pass, you are locked in to that price (at least until the connectivity matrix changes). Visitors are therefore advised to pick the smallest possible value of n that allows them to get from any island to any other island in one journey.\r\nTo prepare for your upcoming trip to Nedsburg to watch the Nedball World Cup, you need to write a function that, given C, returns the minimum n needed so that there is a path from every island to every other island in n steps or fewer. That is, find the smallest n such that every pair of islands is at most n bridges away from each other.\r\nA handy bit of math that might help is that the value of  represents the number of paths of exactly m steps from island j to island k. (Here,  is the matrix power; that is, , using matrix multiplication.) Therefore, if , then there is no way to get from j to k in exactly m steps. If , there is at least one path (of m steps) from j to k. Therefore, one way to solve the problem is to find the smallest n such that, for every j,k pair, there is some m ≤ n such that .\r\n\r\nExample\r\nConsider this arrangement of three islands with four bridges (1→2, 1→3, 2→3, 3→1)\r\n\r\n\r\nThere are no bridges to get from 2 to 1 or from 3 to 2 in one step. However,\r\nC = [0 1 1;0 0 1;1 0 0];\r\nC^2\r\nans =\r\n1     0     1\r\n1     0     0\r\n0     1     1\r\nThis means it is possible to get from 2 to 1 and from 3 to 2 in two steps. While there is no 2-step path from 3 to 1, this can be achieved in one step (C(3,1) = 1). So in this case, n = 2: you can get from every island to every other island with a journey that crosses no more than two bridges.\r\n\r\nAssumptions\r\nWhile it is dangerous to expect too much rational behavior from Lord Ned, he won't strand his citizens, so you can assume that a finite n exists for the given connectivity matrix C. This also means the problem is trivial for one or two islands, so your solution only needs to work when C is at least 3-by-3.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1998.43px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 999.213px; transform-origin: 408px 999.213px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe fabled city of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNedsburg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e consists of several islands connected by bridges. Due to tectonic forces, shoddy civil engineering, and the whims of the city's capricious dictator, Lord Ned, the number of islands and the arrangement of bridges are constantly changing.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 42px; text-align: left; transform-origin: 385px 42px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTherefore, instead of a map, visitors to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNedsburg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are given a connectivity matrix (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e): a square matrix of 0s and 1s, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) = 1 if there is a bridge from island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) = 0 if not. Lord Ned’s diabolical nature means that the bridges can be one-way only. This means \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is not necessarily symmetric. That is, it is possible to have \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) = 1 (you can travel directly from island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) = 0 (you can’t travel directly from island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 52.5px; text-align: left; transform-origin: 385px 52.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBecause Lord Ned likes to torture visitors with math problems, the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNedsburg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e transit system has an \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-bridge pass which allows you to cross up to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e bridges in one journey. Not surprisingly, the pricing scheme gets eye-\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewateringly\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e expensive as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e increases and once you purchase your pass, you are locked in to that price (at least until the connectivity matrix changes). Visitors are therefore advised to pick the smallest possible value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that allows them to get from any island to any other island in one journey.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTo prepare for your upcoming trip to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNedsburg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to watch the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNedball\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e World Cup, you need to write a function that, given \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, returns the minimum \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e needed so that there is a path from every island to every other island in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e steps or fewer. That is, find the smallest \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e such that every pair of islands is at most \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e bridges away from each other.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 128.2px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 64.1px; text-align: left; transform-origin: 385px 64.1px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA handy bit of math that might help is that the value of \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"53\" height=\"21\" style=\"vertical-align: baseline;width: 53px;height: 21px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e represents the number of paths of exactly \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e steps from island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. (Here, \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"22\" height=\"21\" style=\"vertical-align: baseline;width: 22px;height: 21px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the matrix power; that is, \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"91\" height=\"18\" style=\"vertical-align: baseline;width: 91px;height: 18px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, using matrix multiplication.) Therefore, if \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"79\" height=\"21\" style=\"vertical-align: baseline;width: 79px;height: 21px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, then there is no way to get from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in exactly \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e steps. If \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"79\" height=\"21\" style=\"vertical-align: baseline;width: 79px;height: 21px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, there is at least one path (of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e steps) from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Therefore, one way to solve the problem is to find the smallest \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e such that, for every \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e pair, there is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003esome\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e ≤ \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e such that \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"79\" height=\"21\" style=\"vertical-align: baseline;width: 79px;height: 21px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConsider this arrangement of three islands with four bridges (1→2, 1→3, 2→3, 3→1)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 366.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 183.4px; text-align: left; transform-origin: 385px 183.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"704\" height=\"361\" style=\"vertical-align: baseline;width: 704px;height: 361px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThere are no bridges to get from 2 to 1 or from 3 to 2 in one step. However,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 122.625px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 61.3125px; transform-origin: 405px 61.3125px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eC = [0 1 1;0 0 1;1 0 0];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eC^2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eans =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e1     0     1\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e1     0     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e0     1     1\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis means it is possible to get from 2 to 1 and from 3 to 2 in two steps. While there is no 2-step path from 3 to 1, this can be achieved in one step (C(3,1) = 1). So in this case, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 2: you can get from every island to every other island with a journey that crosses no more than two bridges.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 676.8px; font-family: 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\" alt=\"The matrices C and C^2 are shown in two different colors. A grid representing all the possible pairs of nodes has entries in each location showing the minimum number of steps, and the associated path, needed to travel between each pair. (The diagonal entries are blank, as these would represent traveling to the same node/island.) The four non-zero elements of C correspond to four pairs of islands that are connected with a single-step journey. The remaining two pairs (2 to 1 and 3 to 2) are connected with two-step journeys.\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eAssumptions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhile it is dangerous to expect too much rational behavior from Lord Ned, he won't strand his citizens, so you can assume that a finite \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e exists for the given connectivity matrix \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. This also means the problem is trivial for one or two islands, so your solution only needs to work when \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is at least 3-by-3.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = numbridges(C)\r\nn = sum(C==1,\"all\");\r\nend","test_suite":"%% Test case #1: m = 3\r\nC = zeros(3);\r\nidx = [3;4;8];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,2))\r\n\r\n%% Test case #2: m = 3\r\nC = zeros(3);\r\nidx = [3;4;7;8];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,2))\r\n\r\n%% Test case #3: m = 4\r\nC = zeros(4);\r\nidx = [2;7;8;10;13];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,3))\r\n\r\n%% Test case #4: m = 4\r\nC = zeros(4);\r\nidx = [4;5;7;8;9;14];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,3))\r\n\r\n%% Test case #5: m = 5\r\nC = zeros(5);\r\nidx = [5;8;11;12;14;18;22;23];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,3))\r\n\r\n%% Test case #6: m = 5\r\nC = zeros(5);\r\nidx = [2;5;8;14;20;21;24];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,4))\r\n\r\n%% Test case #7: m = 6\r\nC = zeros(6);\r\nidx = [3;4;7;11;18;23;24;26;30;32];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,4))\r\n\r\n%% Test case #8: m = 6\r\nC = zeros(6);\r\nidx = [3;11;12;13;18;19;28;32];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,5))\r\n\r\n%% Test case #9: m = 7\r\nC = zeros(7);\r\nidx = [3;4;6;8;13;14;20;21;23;31;36;47];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,6))\r\n\r\n%% Test case #10: m = 7\r\nC = zeros(7);\r\nidx = [4;11;13;14;19;22;23;26;28;30;34;35;37;38;45];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,5))\r\n\r\n%% Test case #11: m = 8\r\nC = zeros(8);\r\nidx = [2;4;5;6;8;12;13;17;27;39;44;48;54;58;60;62];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,5))\r\n\r\n%% Test case #12: m = 8\r\nC = zeros(8);\r\nidx = [3;9;12;20;24;29;30;31;33;44;48;50;53;54;58];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,4))\r\n\r\n%% Test case #13: m = 9\r\nC = zeros(9);\r\nidx = [8;9;10;14;15;22;25;26;29;33;36;42;44;47;48;50;53;54;55;67;80];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,5))\r\n\r\n%% Test case #14: m = 9\r\nC = zeros(9);\r\nidx = [8;10;22;32;37;40;43;45;47;53;56;57;62;64;69;70;73;77;79];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,7))\r\n\r\n%% Test case #15: m = 10\r\nC = zeros(10);\r\nidx = [2;5;8;13;16;20;24;27;28;36;43;49;53;62;71;75;77;83;86;87;95];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,5))\r\n\r\n%% Test case #16: m = 10\r\nC = zeros(10);\r\nidx = [4;9;14;21;22;35;37;38;44;47;50;51;53;55;59;61;63;66;69;76;77;84;85;86;90;97];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,4))","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":287,"edited_by":287,"edited_at":"2025-11-10T02:22:17.000Z","deleted_by":null,"deleted_at":null,"solvers_count":87,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-04T20:34:09.000Z","updated_at":"2026-02-13T15:41:43.000Z","published_at":"2025-11-10T02:22:17.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe fabled city of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eNedsburg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e consists of several islands connected by bridges. Due to tectonic forces, shoddy civil engineering, and the whims of the city's capricious dictator, Lord Ned, the number of islands and the arrangement of bridges are constantly changing.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTherefore, instead of a map, visitors to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eNedsburg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are given a connectivity matrix (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e): a square matrix of 0s and 1s, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) = 1 if there is a bridge from island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) = 0 if not. Lord Ned’s diabolical nature means that the bridges can be one-way only. This means \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is not necessarily symmetric. That is, it is possible to have \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) = 1 (you can travel directly from island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) = 0 (you can’t travel directly from island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBecause Lord Ned likes to torture visitors with math problems, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eNedsburg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e transit system has an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e-bridge pass which allows you to cross up to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e bridges in one journey. Not surprisingly, the pricing scheme gets eye-\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ewateringly\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e expensive as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e increases and once you purchase your pass, you are locked in to that price (at least until the connectivity matrix changes). Visitors are therefore advised to pick the smallest possible value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that allows them to get from any island to any other island in one journey.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTo prepare for your upcoming trip to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eNedsburg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to watch the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eNedball\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e World Cup, you need to write a function that, given \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, returns the minimum \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e needed so that there is a path from every island to every other island in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e steps or fewer. That is, find the smallest \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e such that every pair of islands is at most \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e bridges away from each other.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA handy bit of math that might help is that the value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"21\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"53\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e represents the number of paths of exactly \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e steps from island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. (Here, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"21\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"22\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the matrix power; that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"18\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"91\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId3\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, using matrix multiplication.) Therefore, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"21\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"79\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then there is no way to get from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in exactly \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e steps. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"21\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"79\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId5\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, there is at least one path (of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e steps) from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore, one way to solve the problem is to find the smallest \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e such that, for every \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e pair, there is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esome\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e ≤ \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"21\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"79\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId5\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConsider this arrangement of three islands with four bridges (1→2, 1→3, 2→3, 3→1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"361\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"704\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId6\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are no bridges to get from 2 to 1 or from 3 to 2 in one step. However,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[C = [0 1 1;0 0 1;1 0 0];\\nC^2\\nans =\\n1     0     1\\n1     0     0\\n0     1     1]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis means it is possible to get from 2 to 1 and from 3 to 2 in two steps. While there is no 2-step path from 3 to 1, this can be achieved in one step (C(3,1) = 1). So in this case, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e = 2: you can get from every island to every other island with a journey that crosses no more than two bridges.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"671\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"708\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"The matrices C and C^2 are shown in two different colors. A grid representing all the possible pairs of nodes has entries in each location showing the minimum number of steps, and the associated path, needed to travel between each pair. (The diagonal entries are blank, as these would represent traveling to the same node/island.) The four non-zero elements of C correspond to four pairs of islands that are connected with a single-step journey. The remaining two pairs (2 to 1 and 3 to 2) are connected with two-step journeys.\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId7\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eAssumptions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhile it is dangerous to expect too much rational behavior from Lord Ned, he won't strand his citizens, so you can assume that a finite \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e exists for the given connectivity matrix \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. This also means the problem is trivial for one or two islands, so your solution only needs to work when \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is at least 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Bridges of Nedsburg","description":"The fabled city of Nedsburg consists of several islands connected by bridges. Due to tectonic forces, shoddy civil engineering, and the whims of the city's capricious dictator, Lord Ned, the number of islands and the arrangement of bridges are constantly changing.\r\nTherefore, instead of a map, visitors to Nedsburg are given a connectivity matrix (C): a square matrix of 0s and 1s, where C(j,k) = 1 if there is a bridge from island j to island k, and C(j,k) = 0 if not. Lord Ned’s diabolical nature means that the bridges can be one-way only. This means C is not necessarily symmetric. That is, it is possible to have C(j,k) = 1 (you can travel directly from island j to island k) and C(k,j) = 0 (you can’t travel directly from island k to island j).\r\nBecause Lord Ned likes to torture visitors with math problems, the Nedsburg transit system has an n-bridge pass which allows you to cross up to n bridges in one journey. Not surprisingly, the pricing scheme gets eye-wateringly expensive as n increases and once you purchase your pass, you are locked in to that price (at least until the connectivity matrix changes). Visitors are therefore advised to pick the smallest possible value of n that allows them to get from any island to any other island in one journey.\r\nTo prepare for your upcoming trip to Nedsburg to watch the Nedball World Cup, you need to write a function that, given C, returns the minimum n needed so that there is a path from every island to every other island in n steps or fewer. That is, find the smallest n such that every pair of islands is at most n bridges away from each other.\r\nA handy bit of math that might help is that the value of  represents the number of paths of exactly m steps from island j to island k. (Here,  is the matrix power; that is, , using matrix multiplication.) Therefore, if , then there is no way to get from j to k in exactly m steps. If , there is at least one path (of m steps) from j to k. Therefore, one way to solve the problem is to find the smallest n such that, for every j,k pair, there is some m ≤ n such that .\r\n\r\nExample\r\nConsider this arrangement of three islands with four bridges (1→2, 1→3, 2→3, 3→1)\r\n\r\n\r\nThere are no bridges to get from 2 to 1 or from 3 to 2 in one step. However,\r\nC = [0 1 1;0 0 1;1 0 0];\r\nC^2\r\nans =\r\n1     0     1\r\n1     0     0\r\n0     1     1\r\nThis means it is possible to get from 2 to 1 and from 3 to 2 in two steps. While there is no 2-step path from 3 to 1, this can be achieved in one step (C(3,1) = 1). So in this case, n = 2: you can get from every island to every other island with a journey that crosses no more than two bridges.\r\n\r\nAssumptions\r\nWhile it is dangerous to expect too much rational behavior from Lord Ned, he won't strand his citizens, so you can assume that a finite n exists for the given connectivity matrix C. This also means the problem is trivial for one or two islands, so your solution only needs to work when C is at least 3-by-3.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1998.43px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 999.213px; transform-origin: 408px 999.213px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe fabled city of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNedsburg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e consists of several islands connected by bridges. Due to tectonic forces, shoddy civil engineering, and the whims of the city's capricious dictator, Lord Ned, the number of islands and the arrangement of bridges are constantly changing.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 42px; text-align: left; transform-origin: 385px 42px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTherefore, instead of a map, visitors to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNedsburg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are given a connectivity matrix (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e): a square matrix of 0s and 1s, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) = 1 if there is a bridge from island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) = 0 if not. Lord Ned’s diabolical nature means that the bridges can be one-way only. This means \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is not necessarily symmetric. That is, it is possible to have \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) = 1 (you can travel directly from island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) = 0 (you can’t travel directly from island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 52.5px; text-align: left; transform-origin: 385px 52.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBecause Lord Ned likes to torture visitors with math problems, the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNedsburg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e transit system has an \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-bridge pass which allows you to cross up to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e bridges in one journey. Not surprisingly, the pricing scheme gets eye-\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewateringly\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e expensive as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e increases and once you purchase your pass, you are locked in to that price (at least until the connectivity matrix changes). Visitors are therefore advised to pick the smallest possible value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that allows them to get from any island to any other island in one journey.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTo prepare for your upcoming trip to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNedsburg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to watch the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNedball\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e World Cup, you need to write a function that, given \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, returns the minimum \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e needed so that there is a path from every island to every other island in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e steps or fewer. That is, find the smallest \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e such that every pair of islands is at most \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e bridges away from each other.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 128.2px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 64.1px; text-align: left; transform-origin: 385px 64.1px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA handy bit of math that might help is that the value of \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"53\" height=\"21\" style=\"vertical-align: baseline;width: 53px;height: 21px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e represents the number of paths of exactly \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e steps from island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to island \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. (Here, \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"22\" height=\"21\" style=\"vertical-align: baseline;width: 22px;height: 21px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the matrix power; that is, \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"91\" height=\"18\" style=\"vertical-align: baseline;width: 91px;height: 18px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, using matrix multiplication.) Therefore, if \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"79\" height=\"21\" style=\"vertical-align: baseline;width: 79px;height: 21px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, then there is no way to get from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in exactly \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e steps. If \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"79\" height=\"21\" style=\"vertical-align: baseline;width: 79px;height: 21px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, there is at least one path (of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e steps) from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Therefore, one way to solve the problem is to find the smallest \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e such that, for every \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ej\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e pair, there is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003esome\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e ≤ \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e such that \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"79\" height=\"21\" style=\"vertical-align: baseline;width: 79px;height: 21px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConsider this arrangement of three islands with four bridges (1→2, 1→3, 2→3, 3→1)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 366.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 183.4px; text-align: left; transform-origin: 385px 183.4px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"704\" height=\"361\" style=\"vertical-align: baseline;width: 704px;height: 361px\" 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6elBT08PwuEw4vE4jEYj/H4/mpqa0NbWhpqammKXSUREpBvhhIJtAxMIJ7K4aI4TTT4LRKFMJ3qcgdMiI5VVoWpaQf8NLpvrRiqrYlt/BJc3uyCV60QbKntlE0CSySR++9vf4ve//z22bNmCsbGx036vz+fDJZdcgtWrV+P222+Hy+UqYKVERET6kc6q2Hs0jsFgEg6zjI92+OG2lM3twzmxGiWMxzNQchqMcuFCgCAAFzY68Pt3ArAYRVw021mwn000ncqi/+53v/sdLr74Ytx7771Ys2bNh4YPAAgGg1i7di3uv/9+LFmyBE899VRhCiUiItKRo5EM/r93juLgaAKd9XZcvcBb8eEDAOxGGSpQsInox/NYDbhyvge7hqMYiaQLXwDRNND1u4imafjiF7+Ixx577JRfr6qqgs/ng9PpRCQSQSgUQiAQyPuevr4+3H333Vi/fj2efPJJyLKu/0mIiIjOWyKTw96ROHoCCdS5jLi4yQW7iZ+P7zMZBESSOSjFSCAA5ldbEU5ksbVvAjd2VsEgcSgW6Ytu300URcEdd9yBZ599Nu+4z+fDZz7zGfzVX/0V2tra4PV6IYoiVFVFOBzGzp078ac//Qm//OUvEQ6HJ8976qmnJodxCRU6ppWIiOjweAqbD4bhMMtY1uLmikun4LUZEE8ryCgqYCrO6l9LZjtxpGsUb/SM4+oF3qLUQHSudDsE6x//8R9PCh+f+MQnsH37djz66KNYvnw5/H4/RPHYSxRFEV6vFytXrsQPfvADbN++HZ/85Cfzzn/66afx3e9+t2CvgYiIqFSE4lm8PTCBbQMTqHGasHKBl+HjNKT3HlRmi9QDAgCyKODyFjcC0TQOBBJFq4PoXOgygLz44ov40Y9+lHfs/vvvxzPPPIPZs2dP6Rpz587F008/jc9+9rN5xx9++GH09fVNW61ERESlrmsoihd2jSKcVHBtmw9XzffAzGVeT0sUALfVcKwHpIiq7EYsaXRi28AExmLZotZCdDZ09+6iKAq+/vWv5x1buXIlnnjiiXO63k9/+lNccMEFk+10Oo0nn3zyvGokIiLSg9FoBq/uC2LvkTgumOXANQt8cJp1Ozq7YCRRgN0kIVgCN/2tNTbUOk3Y1j9RlEnxROdCdwHkhRdewDvvvDPZNhgM+M///M9znrchCAIefPDBvGNr1qxBLpc7rzqJiIhK2bb+CazpGoUsiVi10I9FDQ5wCuTUiIIAq0FCIqNAK4Gb/qvmuZHK5vDWwESxSyGaEt0FkF/84hd57Y9//ONYuHDheV3z6quvzmt3dXWht7f3vK5JRERUikYiaby0N4iDY0lcOteFq+Z74OLSumdFEACzUUI8k4NaAglElkRc1uzGYCjJoVikC7p6xwmFQtiwYUPesbvuuuu8r1tdXY0nnngCwWAQwLHlfa1W6zld64033sDQ0NDk5PdzpaoqGhoasHz58vO6DhEREQAksyre6p/AaDyDZp8VlzS5GDzOg9MsYfewAlUDirMOVr46lwnNfite2juGjy2qgoND6aiE6eq3c/v27XlL5/p8vmm5QRdFEX/3d3933tcBgG9961t49dVXp+VaK1euxGuvvTYt1yIiosqkqBoOj6fQE0ggrahY3uJBtcNY7LJ0z26SoGkaNE0DUBpj1xbW2zE8kcY7h6K4ar6n2OUQnZauhmDt3r07r71o0SJ4PKX1B3a+PR8zdS0iIqo8wXgW6/aMYdvABBrcJtzY6Wf4mCYGSYDDLCGWLp05oyZZxLIWN4Yn0tgzHC92OUSnpasekAMHDuS1W1tbi1TJ6TU0NGDWrFnTdi0iIqKzpagaegIJ7DkSg8kgYlWHn6tbTTOjLMIkSxiLZeG1GYpdziSP1YDFDXbsOBxBvccEN4fZUQnS1W/l+3M03ldbW1ukSk7vZz/7GRRFOe/d1DVNgyzr6r+HiIhKQCCawZaDYSiqhrZaGzrq7MUuqSzJogiTQUQ8rRS7lJN01NkxFE5j88Ewrm/3QRJLY4gY0ft0dYcbj+d3J5rNpbdDq8lkgslkKnYZRERUYdKKip5AAl1DUXisBqxodnOS+QySRQEmWSypIVjHu7zZjRd3j2L/0ThDKJUcvjMRERHp3IFAAu8ejsJvlXHVfA9qnCY+9Z5hggC4LTL2jZTmXAu7ScIlTW683h1CtcMIv51zf6h06CqA2Gy2vHY6nS5SJaeXy+Wgquq0DMESRRGSVAqL+xERUSmKpXPoGoriQCCB9jobFjc4YJK5gEmh2IwSFFVDWtFgkksv8M32mjHHZ8bmg2HcvKgazKRUKnQVQHw+X157ZGSkSJWc3t///d/j9ddfn5Z9QFasWIEnnnhimiojIqJysuNwFPtH4nBaZNzU6ecT7iKQJAGapmEikUW1szT//a9o9uClvUF0DUVxwSxHscshAqCzANLS0pLX7u7uLlIlp9fd3Y29e/dOy7VKcZI9EREV13gii93DMfSMJrCowYGLZjuLXVLFcpgk+O1GJDKlOQ8EOLZccGe9Ha91B1HlMKLexXmqVHy6CiDt7e157Z07d2J8fHxa9gLp7+9HLBYDcKz3YdasWfB6vWd9nUwmc961zMS1iIhI37I5DTsPR3FoPAWXRcLNnVWo4p4eRWV+b7hbKJFFEyxFrub0ZnvN6Kx34J3BCKo6/DBIHItFxaWrAHLRRRfB4XAgGo0COLYs7xtvvIFbbrnlvK6rqipuvfVW7Nq1a7K9bt06XH/99Wd9rS996Uu49dZbp2UOSHNz83ldg4iIysN4Iou3ByMYDqexdI6TqxqVCFkWYTaICCWyxS7ljDrr7RgMprCtfwJXtLiLXQ5VOF0FkKqqKixfvhxr166dPPbf//3f5x1AhoeH0d3dDVVVAQCSJGHevHnndK3bbrvtvGohIiJ6XzKrYlv/BALRNOZX27B0josby5UQAYDTIiOcUKBpx1bGKlUmWcRFcxx4szeMJp8F9W4OxaLi0d1SGffdd19e+7nnnsP+/fvP65ovvfQSUqnUZHvRokWYO3fueV2TiIjoXGkAhsIprNs9ikA0jUvnunHBLAfDRwlymiWIAhBOlt6GhCea7bVgfo0N7xyKIJ1Vi10OVTDdBZCbb74ZnZ2dk+1UKoUvfOEL53w9RVHwwx/+MO/Ybbfddt5DqIiIiM7FRFLBa/tDeLM3jEavGbdeUINGT+ltvEvHGCUJKjQkS3gi+vE66x2Ip3N493C02KVQBdNdADGZTPiP//iPvGMvv/wyPve5z53T9b7yla+gq6trsm2323HPPfecV41ERERnS9OAg6MJvLwviEhSwTVtPlw028UJwyXOaZGhaYIu5oEAgEkWcOV8DwZDSd3UTOVHdwEEAG688caTej2eeOIJ3H777RgcHJzSNYLBIO655x489thjeccffvhhzJo1a9pqJSIiOpOjkQxe3hdE72gC86utuHlRFXw2Q7HLoimwGI7dSh2NlN7myKdT5zJhrt+CN3vDyOa0YpdDFUi3g0kfffRRjIyM4He/+93ksWeeeQavvfYa7rzzTtxyyy3o6OiA0+mELMvIZrOIx+Po7u7GunXr8Ktf/QoDAwN51/zbv/1bfPGLXyz0SyEiogqVUzXsHYmhayiOWR4TPtLohM0kFbssOktui4yMoq85FQvrHOgPBvDuoQgubnIVuxyqMLoNIAaDAU8//TS+8IUv5O0WPjo6ikcffRSPPvoo3G43/H4/TCYTUqkUxsfHEQqFTnm9e++9Fz/72c8KVT4REVW4g2MJ7BqKQZYEXNHsxhwf53nolccmIxDNIpVVYTboY3CJxSji8mY3Nh4IY36NjQscUEHp46/kNERRxOOPP45nnnkGHR0dJ309HA6jp6cHu3fvRm9v7ynDR2NjI37605/i5z//OSSJT52IiGhmJTM5bO2fwEt7Q6hxmnD1Ah/Dh85V201IpHO6m1PR4DajzmXC+u5TP5wlmim6DiDv+8QnPoFt27bhF7/4BW666Sa43R++wY7NZsPy5cvx4x//GDt37sT9999foEqJiKiSHQgk8Or+EEYiadzU6celc12TcwhIv1wWGRNJBcGYvgIIACyeZUc8ncNOropFBVQ2/W1WqxX33HMP7rnnHoyMjKC7uxvd3d2IRqOIxWIwGo3weDyYO3cu2tra0NjYWOySiYioQsTSObxzKIKDo0ksaXRgYb0dksjVrcqFLAlwWCSM66wHBAA8VgOWzHbi7YEI5vgscHEoFhVAWf6W1dbWora2FldddVWxSyEiogqm5DTsHIriaCQDm0nCtW1ezOKeHmXJazUglVWh5DTIOls6ua3GhoFgEtsPRbByvrekd3Sn8sB+XyIiohkQimfx/K5R7D8ax/xqK66a72H4KGO1ThMEACmdrYYFAIIAXDrXhaHxFPaNxIpdDlUABhAiIqJplHhvkvnL+4Lw2Qy4qbMK86qtxS6LZpjHasDhcBqRpFLsUs6Jx2pAW60de47EkcrqL0SRvpTlECwiIqJiGI1msOHAOFKKihXs8agoLqsMUQAmUgrqYSp2OedkSaMDY7EMdg5FcQn3BqEZxB4QIiKi8zSeULClL4wNB0KocRpx24XVDB8VRgDgtsoIRDLQdLq5uCQKWNTgwN4jMd0tKUz6wgBCRER0Hg6OJfHy3jGEE1ksn+/B8nkeWI3cV6oS1ThNSCk5ZHP6HcLU4DahtcaGNw6MI6fXJEUljwGEiIjoHIxE0nhtfwjdR+Nor7Nj1cIq1Dj0OfSGpsccrwWprIq0ou8b98WzHEhmVfQEEsUuhcoUAwgREdFZ0ADsPBzFut1jkETgsmY3Ouvt4Mql5DRLSGZySGVzxS7lvNiMEpY0OrD/aBxJTkinGcAAQkRENEXDE2n8efcYekcTuKzZjavme+Hmxm30HlEUUO00Yjyhz5WwjjfXbwUgYMvBcLFLoTLEAEJERHQGaUXFzqEY1u0Zg8Ms47p2HxbU2IpdFpUYWRTgsxkxPJGCqu9RWDBIAi6c5UAgmsZwOF3scqjMMIAQERGdhqpq6B1N4M3eMPqDCSxv8eCKFjccZvZ60KnZTTL6g0koek8gAGZ7zWjyWdA1FCuL10OlgwGEiIjoFCZSCv68N4i/9E2gxmnExxZVYT43FKQz8NllWAwSojrdkPBEnfUOpJQcBoLJYpdCZYSPcIiIiI6j5DTsD8SxfyQOi1HCR9t9qHIYi10W6YTNKKHRY8ZIJA2f3VDscs6bzSRhfrUV2wejqHebYTHw2TWdP/4WERERvSeSVPDcjgB2Ho5iYZ0dNy70M3zQWTFIInIq0DdWPj0GrTU2yBKwayha7FKoTDCAEBFRxUsrKnYNx/DnvWOwmySs6vBjQS0nmdO58dkNCCeVstnITxYFXDnPgz1HYhiZ4IR0On8cgkVERBXt8HgKmw9OwCQLWDrHhdleC0Ru6kHnoc5lRJXDgLFoFjXO8uhB89uNaK2xYddwDLUubrhJ54c9IEREVJEiSQXvHo5i+2AEbquMlQu8aPIxfND5sxllyKKIoYlUsUuZVp31dqQUFYfHy+t1UeGxB4SIiCrOgUAC2wYm4LbIWDbPA59N/5OFqXQYJAGKquFwKIWPNDqLXc60cZhlzPKY8dbABGqdJsgS0zqdG/aAEBFRxRhPZLHxwDjeORRBa7UN17f7GT5o2gkCMNdnhiAIyCjlMQ/kfa3VVqga8M6hSLFLIR1jACEiooqw50gcL+waQzan4epWL5bOcfIJLs2YKocJVqOIo9HymrRtNUpoq7Xh4GgCkVR57HVChccAQkREZW0slsGGAyF0DUXRWW/HNW1eLq1LM85plhBPqzhShqtGLaixwWGRsX2AvSB0bjgHhIiIylJaUbHjUBQDoSQW1Nhw4SwnnBZ+7FFhSKIAn11GIqMWu5RpJ4kCljS6sKl3HEejGdQw0NNZYg8IERGVFU0DDo2n8Pr+EIYn0riixYPFsxwMH1RwtS4TVE1DPJ0rdinTrs5lhNdqwN7hGNTymuZCBcAAQkREZSOeyeGVfUG82TuOaocRH1tchQY39yyg4qhzmpBWVIzGMsUuZUZcMMuB4Yn9f+s8AAAgAElEQVQ0jkbKb5gZzayyeBwUCoXw5ptvYseOHRgeHoaqqvB6vWhtbcWVV16J5ubmYpd4Wps2bcLIyAgEQYDVasX1118PUSzNXPj222+jv78fgiDAaDTiox/9KEwmfrATUfFpGtA7lsCeIzFoGrCy1Vc2G8CRflmNEjQVGI1m0eSzFLucaeezGzCv2oq3ByO4qbOKe+jQlOk6gGQyGXznO9/Bz3/+cwwPD5/ye2w2G/7mb/4G//Iv/4KmpqbCFngGa9aswS233DLZ9vl8GB4ehtFYeh+aW7duxYoVK5BKHdt8SJIkDA8Po7q6usiVEVGlCycV/KUvjHRWxWyfBZ11dq5uRSXDbzdgNJZGOqvCZCjNB4zno73Whv1H4xgIJjHXX34hi2aGbv8ShoaGsGrVKjz00EOnDR8AEI/H8atf/QqXXnopXn/99cIVeAZ/+MMf8MlPfjLvmNNZmpsVrV+/Hrfccstk+AAAl8sFQeAHPBEVTzan4UAggZf3jiGraLhyvgcXznIwfFBJOTYPBEhky28eCHBsc8IFNTa8NTBR7FJIR3QZQJLJJG677baTAsW8efNwyy23YPXq1Vi8eHHe1wKBAFavXo29e/cWsNKTqaqK7373u7jtttuQTCaLWstUPP7447j++usRCASKXQoR0aRD4yms2RlAz2gclza5cf1CHzxWbihIpWeWx4SsomIsli12KTOmo84OURTQNRQtdimkE7oMIF/96lexbdu2ybbZbMaTTz6Jrq4u/PGPf8Tvf/97vPvuu3jhhRfQ0NAw+X0TExO47777oKrFWRJv3bp1uPLKK/GNb3yjKD//bGzYsAGrVq3C5z//eWQy5Tl5joj0J5nJYfuhCNZ3h+C3G7FivheNXjOMki4/zqgCiIKAWpcJ44ksVK08l4uymyS0VlvRNRRDNld+yw7T9NPdHJADBw7gJz/5yWRbkiT89re/xerVq/O+TxAE3HjjjVizZg2uvfZahEIhAMCbb76JF154AR/72McKUu+bb76JdevWYe3atXmhCQDcbjcURUEsFitILWeyfft2rF27Fi+++CLeeOONvK85HA5IkoRwOFyk6oio0h0IJPDuoQjMBglXL/CiwW0udklEU9Lks2D7YASprAqrUSp2OTOipcqKvmAS2wejuHSuq9jlUInT3SOjJ554ArncB+Mo77zzzpPCx/EuvPBCPPjgg3nHfvSjH81YfSf60pe+hIceeuik8PGRj3wEzz77LGw2W8FqOZOHHnoI//zP/3xS+GhpacEf/vAH1NfXF6kyIqpU2ZyGQ+MpPLcjgA3dIdS7Tbip08/wQbrisxswkVQQSZXnPBDg2IpfC6pt6A8mES3DfU9oeukqgKTTafzv//7vZFuW5ZPCxancf//98Pv9k+3XX38dvb29M1LjiaxWa17b6XTiwQcfxIYNG7B06dKS6f0Ajg1lO57FYsHnP/95bNmyBddccw2iUY7tJKKZk8oeGyd/YDSBtwcm8MedATz++iH84KUB9I0lcW27D8taPJC41ifpjCgIcFlkDIZKf+7n+WipssJrk7HvSLzYpVCJ09UQrJ07d2JgYGCyfemll6Ktre2M57lcLtxwww34zW9+AwDI5XLYsGEDWlpaZqxWANA0DclkEoIg4KKLLsLq1avx6U9/GnPmzAEADAwMlNRKUu+vcrVo0SJ8/OMfx5133okFCxYAACKRSEnVSkT6ls6qSOdUHI1kEIimMRbLIhTPHlstKJNDKJ5F31gS4wkF17X7cO+y+rIdukLlTxYFVDmMOBBI4COznZDLNETLkoAFNXa8PRBBS5UFXhsXhqBT01UAOXFo0MqVK6d87rXXXjsZQIBjS8vefffd01XaKWmahu9///vw+Xxob28/6euldkP/9a9/Hd/+9rfR2dkJScr/oC+1WolI3xLZHAZCKfQGEhgIJZFRVCiq9l4viIJYWoHdJOG6di/+z8U1DB+ke81+C/rGkkhmcnCYdXX7dVZme83YcySGA4EE54LQaenqL2DPnj157VPd1J9Oa2trXrunp2daavowoihi+fLlM/5zpssll1xS7BKIqEI4LTLaamyYV2VBKqthPJHBX/omsLEnjFgqh1keE/wOI65Z4EWVvfQ2ZyU6Ww6zfGxTwmi2rAMIACxqcGDzwTBaa6xcHptOSVdzQPr6+vLac+fOnfK5jY2NsFg+2KHzyJEjutiHg4ioHEmCALNBhN0kw2OVEYwrcJhlNPksmFdtQZXDiItnO9FRZy92qUTTwiiJ8NuNODiWKHYpM67BbYLdJKEnUP6vlc6NbgKIqqo4dOjQZFsURfh8vimf73K58nYaDwQCmJjgrp1ERMU0GEph7a4xDIdTWDrHhRa/BaoGtPgtuKzZDY7+pHIhCEC1w4jxRBaxMl4N630XznKgbyyJiaRS7FKoBOkmgGSz2bweC7vdDrt96k/GzGYzXK4PxiKm02kkEkzmRETFEIhm8PLeIPaOxNDgNuHmRVVwmCSMxTPw2gy4vNkNs0E3H1FEU+KyyKhyGHEkki52KTOuxmmCx2bAvhGuiEUn0827eyqVQjabnWybTCYYjVMfFyzLct4QrFLaAJCIqFKomobdR2J4cfcoNACXNrmwZLYTJllEXzCBtKLi6lYval2mYpdKNO2sRgkOs4yBYPkPARcEYFGDHUcjaURT7AWhfLqZBaUoSt4GhLIsn7RS04cRRRGy/MHL1TQN6XTxn0BwdSkiqhSHx1PYORRFKqvi8mYPWqqsOH41UkUFls5xYVED531Q+fJYZRwKpRBL52A3lffqblV2I1wWA7qGYriixV3scqiE6KYHxGAw5AWIbDYLRZl6olZVNa8HRRTFvB4RIiKaGWlFxa6hGF7cPQaLQcKqhX7Mr84PH6qmwWmWsLDOzo0GqazVOc2wmyQMhVPFLmXGSaKAuX4LhsMpzgWhPLrpATGZTHkBJJVKIZPJTPn8E+eQyLIMm802rTWeLUEQ2ANCRGVtIJjEvpE4klkVKxd4Ma/KesrvEwXhvR4RvidSebMYRViMIobCaSyoKe59SCHUu03w2ozYNRzDMvaC0Ht01QNyfGCIx+OIRqNTPj+VSmF8fHyybbFYih5A9IZhiYimKpVVsbV/Aq8fCMFtNeDmRVWnDR/vY/igSlHnMiOtqBXRKyCLApqrLAhE0xhPZM98AlUE3QQQURQxe/bsybamaRgdHZ3y+aFQKC+w1NTUwO0ubhLX0w29nmolouLaNRzDq/uCSGZyuHKeB5fOdcEg8T2E6H2zvWZomoajFbAaFgDM9lpgN8lcEYsm6SaAAEBzc3Neu7e3d8rnDgwM5E06r6urO6tVtGaKnm7s9VQrERVeNJ3Dn/eO4Z1DEcz2WXDVfC+a/R/e60FUiWRRgMUo4Wg0A1UrdjUzTxSA1hobRiJphOLsBSGdBZBFixbltbu6uqZ87p49e/LabW1t01LT+eANPRGVg7SiYsfhKNbtHoUsCLipswqd9XZuIkj0IeZXWRFL5xCpkCVq53jNsBgkHBwr/yWI6cx0FUCWL1+ed9P+yiuvQNOm9uhg3bp1ee2rr756Wms7V3oJIXqpk4gKKxTP4pV9QewZjuGiOS6sXOCFz2YodllEJW+Wx4x4OodgrHJ6BDrr7RiZSGMiWTmvmU5NVwGko6MD8+bNm2x3dXVh69atZzxveHgYr7322mTbbDZj2bJlM1Lj2dDbTb3e6iWimRNL5/D2YASbesdhkkXcvLgKc30WTiQnOgs1DiMC0XRFDMMCjoWulKKiJ8BekEqnqwAiyzLuuOOOybamaXj44YfPeN4Pf/jDvAnoN954I2bNmjUjNZ4tvdzU66VOIpp5RybSeGlPEEcjaVzS5MK1bT44zbpZ1Z2oZLTV2ipup/CLZjvRH0oimVWLXQoVka4CCAB89rOfhdlsnmw///zz+OEPf3ja71+zZg0ee+yxvGP/8A//MGP1lTOGEKLKFoxnseFACO8eiqDJb8ZH2/2ocZqKXRaRbnltBqQVDYHo1Pc107tGrxk5VcPB0USxS6Ei0l0Aqa+vxze/+c28Y1/+8pfx1a9+Ff39/ZPHxsbG8OMf/xi333573oaFn/rUp7BixYpClfuheENPRHrRE0jg+a5RpBUNF81xYUmjk0vrEp0nURDQ7LciEE2jQkZhQRYFfKTRia6hKDI59oJUKl32mX/961/H5s2bsWbNmslj//7v/46f/OQnaGlpgSRJOHz4MAKBQN55bW1teOKJJwpd7ofSSwjhru1ElWk0lsGuoRiC8QyWNDrQUWeHJPK9gGg6CAIw12/GS3uDuGBWDnaTVOySCqLBY8au4Rj6x5JorYDd4OlkuusBed9vf/tb3H333XnHYrEYduzYge3bt58UPq666iqsW7cOLperkGWeUTb7wUoQilLaY0CPr+/4uomo/GRz2ntL647BZBBxXbsfixocDB9E08xhluG2GHBkojI2JQQAi0FEc5UFe45wY8JKpdsAYrfb8ctf/hJPPfUUli5dClE89UtpbW3Fww8/jJdffjlvJ/VSIIoinE4nLBYLLBYL7HZ7sUs6LUEQ4HA4Jmt1OBzsESEqU72jCWzqGcdAMIkLG524otkNt0WXHeZEJc8oi6hzmdBXYftj1LtMUFQNg6FUsUuhItD9J8pdd92Fu+66C7t27cLu3bsRCASQy+Xg9XrR3t6OxYsXw2QqzUmSVVVV2Lp1K3K5HIBjq3wZDKW5fr7JZMJLL72EbDYLQRAgiiK8Xm+xyyKiaZTMqvhLXxg9gQQWz3LgylYPJD5oIJpRAoB6twm9owkE49mK2UfHZzOiymFEz2gCs73mM59AZUX3AeR9nZ2d6OzsLHYZZ0UURdTX1xe7jCkRBAG1tbXFLoOIZoCmaegZTWLvkRgEAbixswoN7tJ8cENUjjxWGSaDiF1DUaxorYyHe4JwbBnibf0TCEQzqHYYi10SFVDZBBAiIjp7qayKV/eHMBY7Nsm8vc4OmfM8iArKIIlo9JixbySOtKLCJOt2hPxZqXYYYTVIOBCIM4BUmMr4DSciojzZnIruo3G8uHsMqqbh+nYfFjU4GD6IiqTZb4HTLOPweOXMiRAAzPKY0H00gdFY5eyFQgwgREQVZzSWwYu7x9A1FENHnR2rOvyodXHIFVExOcwyXBYZ/cHKmozeUmXFcDiN594dhVopm6EQAwgRUaWIpRV0DcWwtW8CNqOM69p9aK2xckNBohJR6zIhk9MQSZX2svzTSRIF1LlN+NPOUby6LwiNIaQicA4IEVEFODiWwFv9EdhMEpY0OlDv5qozRKWm3m3CniMxHA6l0FFfukvzT7dqhxGapmHdniDMBhGXN7u551CZYwAhIipj0ZSCPUfiGAgl0eg145ImFz/YiUqUWRbhsxnQH0piXrUVxgqZjG4xiKh1mRCMZ7H+wDhUDVjW4oFUGS+/IvG/loioTPWNJfGnnaMIJ7NY1uLhU0UiHWirtWE8oWAsli12KQVjkETUOA3IKCpi6Rw29YxjY884cpwUUrbYA0JEVGbGE1nsG4ljMJTCvGorljQ6Oc+DSCc8VgN8NgOGwmnUuUyohL1ATbIAu+nYJPxIUoHFIGJ9dwiqpmFlqxd8blJ+2ANCRFQmMoqKHYejeGlPELIoYFWHD5c0uRg+iHRmQY0NQxMpJLO5YpdSEFaTBJMswm2RIYsC5ngtsJskbOodxxs941By7AkpN+wBISIqA0cm0nj3UASRVA4XN7kw12epiCenROWo0WvGO4ciOBrJYK7fMnk8lVVhkISyG0opAMipGlwWGa01NixusKPBY0bXUBT9wSRcFhkddXY+TCkjDCBERDqWVlRs6h0/dqPis+DqBT6YDezcJtIzWRTQ6DVj51AUc3wWiAIQT+cwOJ7CbI8ZNpNU7BKnlSgI0KDhI3OcqHMd25hwyWwnrm3zIZlVMRxOIaOoMEjl9borGT+liIh0ajCUwkt7gzgayeCKZjcua3YzfBCViflVVsTSOYQTxyajD4SSCEQyZTkfQhYFWAwSOuvsaPFbYTaIGAgd2xHeYhDRUmUtu9BV6dgDQkSkM8lMDlv6JhBOZtHoseDaNi8sBn44E5UTp0VGvcuEA4EELp3rQk8gibSSg1CGYytlScRcvwV2swyzQYTPakBPII45Xu5XVK74qIyISCcUVcNgKImX9wURSmRx2Vw3ls5xMnwQlYnBUAqHxlPI5DSIgoC2WhuC8Sy6Awn0BxNI51TkynCrcIdJxqVNbtiMx97LapxGjEYzCEQzRa6MZgp7QIiIdGA0msGWvgmomobFDQ7UuUwcbkVUZrw2AzYeGMearlFc0OBAa40VogC8vDeIcFJB1Xs7hpcbn80A8bi3swa3GUZZRO9oAtUOY/EKoxnDAEJEVMLSioqeQAI7h6Lw2Y24tMkFl4Vv3UTlyG6ScEWLG8F4Fmt3j+HtQSMiKQUDwRQaPaZilzdjxBOepciSgHnVVhyZSCOZVWHhw5ayw08xIqISNRhKYWt/GLIo4tK5LjT7rcUuiYhmmMsi42OLqgAAB0bjUFUgm1MRSeWQyOSQUTSgfLPIpHlVVgwGUzgaSaPJZznzCaQrjJRERCUmmVXxzqEI3ugZh8tiwA0L/QwfRBXEbT0WQhbU2GGURZhkEcF4BsmMCrX8RmCdktUowWIUcXA0AaVSXnQFYQAhIioh+4/G8creMYzHs7is2Y2PtnNfD6JK5LbKuHGhH601VjhMEnIqEEpkUX5rYJ1eW60Nh8bTGI9ni10KTTMOwSIiKgGxdA57j8RxcCyBzno7FtTYIHPXX6KK5rHKWNXuBzTgD+8GEIhkoJbhJPTTqXOZYTWKCMazqOJk9LLCx2pEREWUzal4ezCCtbvGkFZyuL7Dh4X1doYPIgJwrCfkps4qLJ3jwtFoBqGEUuySCkYUgAtmOTE4fmwndCofDCBEREUyFstgw4Fx7D0Sw5JGB65occNjNRS7LCIqMQ6zhHuWNaDFb8XRSLrY5RTUbK8ZwVgGQQ7DKiscgkVEVGBpRcXOw1EMhdNwW2TcekE1HGa+HRPR6XmsMm5bUo3+YBJpRYVJroxnyEZZQIPbjKFwGnWuClj+q0KUxSfeyMgINm7ciHfffRfDw8NQVRU+nw+tra1YsWIF2tvbi13ipPHxcWzYsAHbt2/HoUOHoCgKPB4P5s+fj+XLl+PCCy8sdomntWnTJvT19QEATCYTPv7xj8Nk4psB0dkYiaSxtX8CyUwOV7R40OgxF7skItKJRQ129IwmcDSSwWxvZbx3iIKARo8ZOw5HsaTRAUnk8NRyoOsAkkgk8K1vfQtPPfUUxsbGTvk9RqMRq1evxsMPP4zW1tYCV/gBVVXx3e9+F0888QSGh4dP+T2CIODmm2/GQw89hCVLlhS4wg+3ceNGXHPNNVCUY2NPBUHAyMgIqquri1wZkT5MJBVsPhiGoqpodJvRXGXlhoJEdFasRgktfisOBBJo9JorZkWsaqcRqqahL5jEvCouSV4OdNt/19/fj+uuuw7f//73Txs+ACCTyeCZZ57BZZddhnXr1hWwwg+MjY3h5ptvxje/+c3Thg8A0DQNa9aswRVXXIGnn366gBV+uD//+c+49dZbJ8MHAHg8HghCpbz1EZ07DcDBsQTWdAWQyqpYOseNJbOdDB9EdE7m11gRjGUQilXOnAirQYLfbkTXUKzYpdA00eUnYCwWw+rVq7Fjx46844sWLUJHRwdkWUZvby+2bNky+bXx8XH89V//NTZt2oQLLrigYLUqioJPfOITeP311/OOL1iwAIsXL4bZbMbBgwexefNmqOqxFR5SqRTuuOMOVFVV4ZprrilYrSfSNA0/+MEP8OCDD07WRkRTdzSSwY6hKCJJBRfOcnJpXSI6bx6rAbO9Fuw/GscVdnexyykIQQCafBaMRNKIp3OwmaRil0TnSZcB5Ctf+Upe+HA4HPjpT3+K22+/HZL0wS/l+vXrcffdd0/OW4jH47jvvvuwefNmyHJhXvpDDz2UFz4MBgMef/xxfOYzn4HR+MGa1m+99Rbuvfde7Ny5E8CxIVv33nsvduzYAafTWZBaj/fiiy/iO9/5Dt54442C/2wivcvmNPQHk9jUO44qhxGrOnycZE5E00IUgNk+M9Z3h3DBLEfF3IzXuUyodZpwIBDHhY2Fvy+i6aW7IVh79+7Fk08+Odk2GAx49tlncccdd+SFDwBYsWIFnn/++bx5Cm+99Rb++Mc/FqTW4eFh/OAHP8g79vOf/xz33XdfXvgAgKVLl+KFF15AY2Pj5LH+/n78+te/LkitALB582Z87Wtfw0UXXYQbb7wxL3x4PB54vd6C1UKkV4fGU1jfHcKuoSgunuPCTZ1VDB9ENK2q7EbUuUx451C02KUUjEES4LLIODSeglo5ezGWLd0FkMcffxzacbuA3n333Vi1atVpv7+9vR1f+9rX8o499thjedeYKf/1X/+FRCIx2b7lllvwmc985rTf39DQgEceeSTv2OOPP450ujBrfv/bv/0bHnnkEWzfvj3veEdHB9asWYPa2tqC1EGkRzlVw/bBCF7fH4LZIOKGhX4srLdXzCRRIiocgyRgtteCQ+NJRFOVszFhjcMISRAQjGWKXQqdJ10FkFQqheeee26ybTAY8MADD5zxvHvvvRc1NTWT7Y0bN+LAgQMzUuP7NE3D7373u7xjX/7yl8943u233563WteePXvw9ttvT3t9p2K15q8s4XQ68cADD2Dz5s244oorEI1WzpMWoqnKacD+o3Gs2zOGiaSC5fM9WD7PA4uxMoZFEFFxzPKYYDdJ2DlUOZ/N1U4TzEYRB4PJYpdC50lXAWTHjh04dOjQZPvyyy/H/Pnzz3iew+HADTfcMNlWVRUbN26ckRrf19vbiz179ky229racOWVV57xPEmSsHr16rxjr7zyyrTXdyrpdBqSJOHiiy/Gv/7rv2LHjh343ve+B6fTiUgkwlWviE6QyqrY0B3CX/omMNtrwbIWD+b6LMUui4gqgFESMa/aitFoFrF0ZfSCiALgsxkRTSrI5jgOS890FUBOnBC9YsWKKZ974mpS69evn5aaTmfLli3IZD7oIly2bNlJc1ROZ+XKlXntmQ5L7/vWt76F3bt3Y+vWrfjGN76Bpqamya8xfBB9IKdq2HMkhrW7xpBRVNyw0I/OejuMMv9OiKhwmv1WZBQVfWOpYpdSMI0eM3KaxmFYOqermZF79+7Na5/NDucn9pT09vZOS02ns2/fvrz2woULp3xuS0sLjEbjZIAZGBiAoigzvnJXKe/CTlQqJpIKtg9GcGg8iUua3GipssLApXWJqAhM8rFekMFQEvOrrTAbdPVc+Zx4bQbkVA2HwynUukzFLofOka5+Uw8ePJjXPv4J/Zk0NjbmzXE4cuQIksmZG0N4YsCZO3fulM+tq6vLW3EqEAh86GaLRDTz0oqKHYej2HwwjJyq4abOKrTV2hg+iKioFtbbEU4qGAxVUi+IBYmMiozCPcr0SjcBJJfLYWhoaLItSRJ8Pt+Uz3e5XHn7aYyOjiIcDk9rjccbHBzMax+/FPCZ2Gw2eDyeyXY4HEYwGJy22ojo7IxE0vjzniD6xhJY1GDHde0++O3GM59IRDTDTLKIzno7ekYTyOQq44Z8js+CYDyLYLxydoMvN7oJIIqi5PVY2Gw22Gy2KZ9vMpngcrkm2+l0ekZ7QI5fflcQhLPaTFAUxbwAAhzb/Z2ICiuSUvBmbxhbDoZR7TBi1UI/GtzmYpdFRJSnrcaGRCaHofHCLNtfbE6zBLMsYjTKAKJXupkDkkql8iZ1m0ymkzbz+zCyLMNs/uDGQVGUGbup1zQtb+8Oo9F4VrUCyKsVAJfAJSqw/lASr+0LocphxKVz3ajjWGMiKlEmg4gmrwU7h2KY7TNDqoCFY5r9FhyJpJHNqTBIunmeTu/Rzf+YoihQ1Q+6FmVZnvKqUsCxXoXjJ3GfGBKmUy6XQy6Xm2xLknTWE8gNBkNeu1CbERJVunBCwaaeMP5ycAKd9XZc3+5j+CCikreg1oZsTkV/hayI1eAx48hEGuOJyliCuNzoJoAYDIa8m/hsNgtFmfovXS6Xy+tBEUXxpI33possyyfVms2eXTfhiYHjbIabEdHZUzUN3UcTeH7XKNK5HK5r9+HiJheMsm7eJomogjnMEub4zNg1HEUl7JBhNYqodhgxFuMwLD3SzSeryWTKu6k/cUjWmZw4h0SW5Rm9qTeZPnhims1mz7oH48T5KQwgRDNnKJzG5t4w9h+No63WhhXzvfDZDGc+kYiohCyosUHJaThwNF7sUmacKAiY7bWgP5hATq2EyFVedBNADAZD3k14PB4/q3kRyWQyb9Uri8Uyozf1Docjrz0+Pj7lc3O5XN6qV6IontUk9pnCzQip3ORUDVv6wnh5XxAQgOs7fLhothOSyN91ItIfp1nGLK8ZB8dmbpGdUlLtMCKaznEYlg7pJoCIoog5c+ZMtjVNQyAQmPL5oVAoL7DU1tbC7XZPa43HO3GPkqNHj0753ImJibyw5Pf74ff7p6u0c8LwQeVmIJTEi3vGMDKRwfIWN5a1eGDicCsi0rm2GhtSWRW9Y4kzf7POWY0iGlwmjExUxryXcqKrT9vm5ua89tnsZj4wMJA3DKquru6kid7Tad68eXnt7u7uKZ97+PDhvB6TqqqqvI0Ji4UhhMqBktOw/sA4Xt4bRI3DhFULfWipmpn5YEREheayyKhzm9A9Ei/7fUEMkgi/3Yi+YGX0+JQTXQWQxYsX57V37tw55XN37dqV1+7o6JiWmk5n4cKFee2urq4pn7tv3768VbRaW1t58090nhRVQ99YEuv2jCEUz+K6Nh+Wzvn/27vzMLvr+v77z+9+9jN79oQshJAFjChLCLK1KFqrdYHaYlu1drmtuFS56uV2XfYSteWyIN6xrcUbtRtavaZ6r7kAACAASURBVG/9uQBFBEFQEGRPIITs22T2M3OW73r/cSaTDElIAjPnzExej+vigu+ZcybvCcnM93U+n8/7XSDtnHg3PRGR6WDN3BzVMGFb78xfGWjJ2PhhQp+GEk4r02YOCMD69esxTXOsHe/PfvYzkiQ5oZvzO+64Y9z1pZdeOik1HnT++eeTzWYZGakfBLvvvvsYGRk5oXMnt99++7jrya71RCgAyXQ2WAn59dYByn7MyjlZFralSTnT6v0XEZETlnEtFrWleL67zMLW1Iz+fteWcenKu2zvq9Cm5iHTxrT6E3nmmWeyfPnyseunnnqKBx544Liv27lzJ/fcc8/YdSaTYd26dZNR4pi5c+eydu3aseu9e/ceESyOZmhoiJ/85CfjHpsKAQQUQmT6qQYxz+wd5sEXBrBMg8vOaGP5rOyM/mEsIgKwak6O/pGAnf0zexXEtQ3yKZvdA5qXNp1Mq5/ClmVxzTXXjHvsc5/73HFfd8MNN4ytRAD83u/9HnPnzp3w+l7sT//0T8ddX3/99cd9zYYNG8YdWH/d617H6tWrJ7y2k6XwIdPNnsEaP3ryAM/tL3PGrCyXr2inkJ5Wi74iIi+b55ismpfjmb3D+OHMPguSS1n4YcxgRd2wpotpFUAA/vzP/3zcNqY777zzJW/sv/vd77Jhw4Zxj33oQx+atPoO9653vWtc0Hn00Uf58Ic/fMzn33PPPUcEqpd6fqMphMh0UAliHtkxxANb+unIObx+VQeLO9LNLktEpOHOnJ2lVI1mfEeszpxLNYjZpsPo08a0CyCzZs064ib9k5/8JB/84AfZuHEjvu8TRRG7du3ii1/8Itdcc824ienvec97Jn371UHZbJYvfvGL4x676aab+OM//mMee+wxarUaURSxf/9+vvrVr/L7v//74wYQvulNb+Itb3lLQ2oVmQm291X54ePd7Bmo8tpFRS5Z3kZa261E5BTl2SZnzcvx2x0lwhk8rK+YtmnJ2PQMn/iAammuabkf4aMf/SgPPvgg//M//zP22Fe/+lX+9V//ldNOOw3Lsti9ezdDQ0PjXnf22Wfzla98paG1vvvd7+aBBx7gn//5n8ce+8///E9uu+02lixZguM47Nu3j76+vnGvO+2007jlllswzalx82QYhlZAZMoaqoQ8113m+e4y81o8XnOauluJiAAsn53lhd4Kj+8qcc7C5g81niyLOzLsHahRC2I8vfE05U3LAALw7W9/m87OTr72ta+NPeb7/jHnbVxxxRXceuut5HK5RpU4ZsOGDbS1tY3bKhZFEZs3bz7q888//3z+4z/+g1mzZjWqxBMSBIda3Pm+T5LM3HdTZHqIE3hyd4ln9g6zoDXF61e105pRFxQRkYNStsnquTl+uWWAlXNyM3ZVeG7RY0dfhb5ywJyi1+xy5Dim7Z/CVCrFhg0buO2221i/fj2ed+QfNtM0WbNmDTfccAO33347c+bMaUKl9dWDz3/+8/zkJz/hd3/3d0mnj74f/YwzzuBzn/scd9999xFDF5vNMAza29spFosUi0U6OjqmzOqMnJoODPvc81wfT+8Z5qx5edYtbVH4EBE5igWtKbryLr/ZPtjsUiZNMW3jhzF7BtUNazqYtisgB1111VVcddVVbN68mY0bN9Ld3U0cx7S2tnLGGWewatUqLGtqbMW48sorufLKK9m6dSvPPPMM+/fvJwgCisUiy5cvZ/Xq1biu2+wyjyqVSnHXXXeNnacxTXNKTGeXU0+cwINbB9jWU2F+S4rfP7uTnDftv5WJiEwazzZZNSfHPc/2sWJWls781LzXeKVaMg77h2r4YYxr603SqWzG/NQ+/fTTOf3005tdxglZvHgxixcvbnYZJ02BQ5pt32CNJ3YPc2DY59ULCpw55/iDPUVEBOa3eMxr9XhqzzCXnjEzf57PKXhs7SkzVA3pyM3MkDVTKB6KyJRX9iPu3dzPL7cMUEjbvPmsToUPEZGTYJoGq+bm6S8H7BuamduUFrSliBODAc0DmfJmzAqIiMw8cZKwb7DG47uHGSwHnLekhcXtmukhIvJyzC64zC56vNBTYVbeY6Y1t/Rsk8UdKUrViCRhxn19M4kCiIhMSYOVkAe3DjBcCTlrfp4Fra2k3alxnktEZLpaMzfPnc/0sLO/wsK2mfeGzqK2NM/tL1MN4xnb8Wsm0P8ZEZlSwijhue4R/veZHsIo4ZIV7SyflVX4EBGZAPmUxbwWj0e2D1EL4maXM+FmFTx6hn2qftTsUuQlaAVERKaM7pLPQ9sG8cOYlXNzrJzT+Lk9IiIz3Zp5eTYfKPP8gTKr5s6s77OWaZBP2QzXIlqzas0+VWkFRESaLogSntozzM+f7cMxDa5Y2aHwISIySbKexbolLTy+q0SpOrMObDumwayCy/6S3+xS5CUogIhIU23vq3L70z30DPucs6jAFSs7yHnabiUiMpkWd2RIuxZP7h5udikTyjBgXjHFjr4KYZw0uxw5BgUQEWmKsh/x8LZBHtjSz9yix7qlLSzrzKhriYhIA5gGvGZRgZ39VQZnWNvaXMqiGsQMlINmlyLHoAAiIg0VJQlP7C7xk6d6GKiE/M6Z7ZyzqIBr6duRiEgjzWvxaM+6PLJ9qNmlTCjXNmjN2tqGNYXpJ76INMxAOeT+5wd4aOsgK2ZnufSMNjo1rVZEpClMw+Cs+Tl6RwJ29FWbXc6E8WyL2YUUvcMKIFOVumCJyKSLk4Qndw+zvbdCyrH4g1d10a7gISLSdF15l9kFl99sH2RO0cOxpv8+WNOA1ozNlgPlZpcix6AVEBGZVH0jAT/b2MeTu0ucOSfLFSvbFT5ERKaQ1ywqkABP7C41u5QJk3JMUo5Jqap5IFORVkBEZFKU/YjfbB9iqBowu5Bi7cI8HQoeIiJTTtq1WD03x1O7h1nelSGfmv63h4WUTc6z2DtYJZ/KNrsceRGtgIjIhNs/HHHPC2UqicP5y7p4zaKCwoeIyBR2xqwsLRmbp/eONLuUCZFxLfKezfYZdLZlJlEAEZEJ018O+dWOMvc+ewBjaC+Lkt3Eg3sB9WIXEZnq1szLs3HvMPuHZsbh7bRrEkQxiX4ETTnTf41NRJouThJ29dd4eOcIu3dsY+v9/y+P/vJuypUqbirNW9/6Vt7//vfT0tLS7FJFROQYuvIui9pTPPBCP7+3pmvaH0hvzTjsHfTpKwe0Z51mlyOHUQARkeN6cvcwCQlLOjJHTCnfO+izcV+JSmSRjwb49W1fZs/OHbztnVexeMlSHn7oIb71rW8xMDDAJz/5STKZTJO+ChEROZ7zTmvhB09089z+EVbNzTW7nFekNePghzF7B2sKIFOMAoiIHNNz+0f45oN7+enTPVgmrJid5XXL2viTC+bg2SbP7B3mid3DzG1JcemyFv7PbT9iy+bNfP76L3D55ZcD8PtvfjMLFy5kw4YNXH755Vx22WVN/qpERORYsp7FBYtbeHxXicUdaTKudfwXTVEpxyROEro1kHDKUQARkaN68IUBPvmD5/n5pj4c28QyDX6zbYjvPtLNM/uGuXJ1O65lct5pRRZ3pCGJefKZTSxZuoxzzjln3Oe64IILuOWWW9izZ0+TvhoRETlRC9tSPLtvhIe2DXLJ8rZml/OKzCq6HCgFBFEy7beUzSQKICJyhHItYsM9u/j5xl6KWQfLMEiAtGNSDWP+9b5dnDErw3vWzcOz670s4gTe8573EMcx+Xx+3Od7+umnCYKAefPmNeGrERGRk2GZBmvm57lvcx+7BqrMb0k1u6SXrTPrsm+wxmAlUDfGKUQBRESOsGn/CE/sLmE71lj4OMixDMIoYWd/bSx8AJimydKlS4/4XNu3b+cb3/gGq1evZu3atQ2oXkREXql5LR6ndaT59dZBZp/tYZvTc/WgmHawzfqbZzJ1qA2viBxh31CNUjXEtYwjGugao//sG6zRXw4IomN/U9+xYyef+MQnCMOQj33sY+qCJSIyjayZm8cxTTbtm76zQVoyNlGc0D8SNrsUOYxWQETkCB05l4xnEQwkpOzxUzwSIErqKyGP7BgijBLyKZusZ5F1TdpyKYoZi8d/+zhf+NxnqNWqfPmGf2DNmjXN+nJERORlyHoWa+bl+NXWAWYX3Gm7hSmftqmGUbPLkMPMyADy3e9+l97eXgzDoLOzk7e97W3NLmnM3r17+fnPf86jjz7Kzp07CcOQlpYWli9fzute9zouuOCCZpc4pre3l3vuuYeHH36Y7du34/s+hUKBZcuWsX79ei6++OJmlyiT5JyFBS5c0sLTu4YJRg+gY0CSwEgtZllXmnefP5eFbSn2DNYYqoSUqiGJYZEZjnn8/rv4f27+EqFX5LN/fz3zzjyH3pGAfMrG1SFAEZFpY3FHmue6R/jtjhKXndmGZUy/7+Fzix67+quU/Whad/WaSWZcALnxxhv5yEc+MnZ9+umnT4kA4vs+n/3sZ/n6179Ob2/vMZ932WWX8fd///esW7eugdUd6frrr+fmm29m3759x3zO+eefz2c/+1ne8IY3NLAyaQTLNLju9YvZ0V/ljqd7cCwT0zSoBTFLOtN86Q9O58Kl9e1UC1oPHU6MgH//7g/51y9/ngsvOJdr/q/rKMxayMY9JQYrAaVKQNY1aM86tGYc2rMuLRkb1zKZhj/TREROCeuWtnDXM73sHfCZ3+o1u5yTlnEtStWQahArgEwRMyqA3HDDDXz84x8f99hU2HO+Z88e/uiP/oh77733uM+9++67uffee/n617/Oe97zngZUN16pVOKaa67hhz/84XGf+6tf/Yorr7ySf/zHf+RjH/tYA6qTRlramebr717JfZsHuOe5PnYP1FjSkeaPz53DeYuLR33NU4/9lv/++s28+Q2X86lPf4ZsNksURZQLKYZrLv3lkFoQURkdDLWjr0rvSIBhQFvGoT3r0JZ1mFWoH3g0DLBNo74CIyIiTZH3bFbMyfHAC/285eyucQ1IpoP2rEMliCn7EW0aSDglzIgA0tvby3XXXcc3vvGNZpdyBN/3ecc73sGDDz447vGzzz6bs88+m1QqxZYtW7jvvvvw/fqgnCiKeO9738ucOXMavrrw7ne/+4jwceaZZ3LOOeeQzWbZtWsXv/jFLyiVSmMf//jHP05XVxd/8id/0tBaZfLNb0nxrtfO5s1ndVDxY/Ipm5Rz9B88lUqF/3vD1/jFLx8gwuADH/gAtVoNg4QoDMll0/z1X/01rzl/HUkClSCiFsaM1CLKfsxQNaDix2ztqfDw9iFMAxzToDVr05px6cy5eE59O1hqdFuYerqLiDTGss4MLxwY4ZEdg6xb0trsck6KZ5ukHItKoE5YU8W0DiADAwN897vf5frrr2fbtm3NLueoPvOZz4wLH6lUin/7t3/jXe96F6Z56Ebuqaee4r3vfS8PP/zw2GPvf//7efLJJxu2inPTTTfxgx/8YOzaNE1uuukm/vIv/xLHOfSOwZYtW/iLv/gL7r777rHHrr32Wi677DLmz5/fkFqlsXKeTe44q+6lUgnLsjjvvPOwbZvdu3ePfcz3fbLZLKVKDQDDqC+JZ1yL1syhP1thlBDGCdUwJghj+sshQ9WA4VrI5u4yUZxgmwZtWQfPMWlNO6Qck5RjknEtbNMg62l5XURkojmWwQVLWvnZpl52D9SY1zK9tmLNLboMVELiOMHUqnrTTbsAkiQJ3/ve97j99tu588472blz57iPz58/n97eXiqVSpMqPGTXrl3cdNNN4x679dZbufrqq4947urVq/nRj37E+eefz9atW8def+utt/LhD3940msdGhri+uuvH/fYjTfeyN/8zd8c8dylS5fywx/+kPXr1/PYY48BMDg4yM0338yXvvSlSa9VpqbOzk5uvvnmo34sSRIMwxgXuo/GtgxsyxhbZenM1zuuxElCFEMQxQxVQ/pHAmphzNbeMpUgJmWb9dURA9KuTco2SbsmhZSNa5sU0/a07WEvIjJVtGUdlnVleHjbILPP6pxW22MLKYfN3SPUoixpU29UNdv02sRH/Ubmb//2b7nllluOCB9vf/vb+da3vkUcT40ltltuuYVqtTp2/ba3ve2o4eOgrq4u/uEf/mHcY1/72tfGfY7Jctttt9Hd3T12fdFFF/HBD37wmM/PZrN85StfGffYrbfeSn9//6TVKFObYRjYtn3UfxzHwbbt4waQYzGN+narjGsxu+Bx5pwcr1pQ4I2rO3n72llcfHorp3dmmNeaIoxidg9W2dZb4andJX69dYB7n+vj3s19/Gb7IFsOlNk9UGW4ppaMIiIn64xZWeIk4aFtg80u5aQU0jZ9IwF++OLpVtIM024FBCCfz4+7XrJkCR//+Mf5q7/6KzZt2kStVmtSZYccXKk53OHduY7lbW97G2eeeSYbN24E4LnnnuPhhx/moosumpQ6D/rOd74z7vpEVl0uuugiLrroIu677z4Auru7+dnPfsY73vGOSalR5FhyKZtcqv7tbHlXFoAwTugfCRiuRZSqIYPVkMFKRO9IQBTXfwAlCaRdk7aMQ86zyadtOnMOplpyiYgcVca1OGdhgXs3D7CoLc3cabIVqy1j49kmgSaiTwnTLoBEUUQYhrS2trJ+/Xre8Y538Pa3v51stn7TMTIyNaZ1bt68mU2bNo1dr1y58oRa65qmyVvf+taxAAL1zliTGUB6enp45JFHxq7nzJnDFVdccUKvfec73zkWQKBeqwKITAW2adCZd+k87P2KJIGhakAtTCj79WBSCWIGyiE7+6uM+BGmYZB2LFrSNu05h6xr0ZZ1ce16Ny7LMNQyWEROaYva0yztr/HojkHacx3ToiuWaRi05Rx6ywEd+ek5UHEmmXYBBOC//uu/mDdvHl1dXUd8zJgidwa/+tWvCIJg7PrCCy884e0nF198MV/4whfGru+///4Jr+9wjzzyyLitU+eeey65XO6EXrt+/fpx1w888MCE1iYykQwDiukjWzDWwphqEFMNImphMhpKAvYN1tg35FMLYwppm47RQOLaFm2Z+vR3zzZxLFMduUTklPKa0wr8f4918/iuEueedvTW7FOJZRpkXYsDJZ/lXZkpc794qpp2AcRxHNauXdvsMo7r2WefHXe9cuXKE37tkiVL8DxvbCvZ9u3bCYJgXCeqifTiWs8888wTfu3ChQvp6Oigp6cHqM886e/vp7V1erXok1ObZ5t4o4fVD0oS8KMYP4ypBDFRnDBQCRkoB2zvG2GoEpJxLQopi3zKppCy8RyTtFPv7pVyTLKehX7EichM5NkmFy5t4VdbB1jSkaYjN7VXFQwDWjMOuwaqxAnoPaPmmnYBZLp4/vnnx10vXrz4hF87Z84cWltbx6aQd3d309PTw5w5cya0xoNeXOvSpUtP+LXt7e3MmjVrLID09/ezd+9eBRCZ9gzjUDDJjw57n1P0iJOEeLQjVxDD/qEaI7WQ/SWfnmEfMMg4JrmURdazSdsmjl3f1pXzLAppe1psVxAROZ75rSnm9qf45fMDvGH11N+K1ZFz+M32IcIomVYdvGaiGRdApsqS2os7dB1tu9ixZDIZ2traxgLI4OAgvb29kxZAduzYMe76ZGoF6OjoGPvvMAzp7u4+qRUfkenENAxMC2zLIg0UUplxH68EMT3DPtUgpnfEZ/dgjThJCKOEtGPi2ibm6BDFQsqmJWOTcy1aMprOKyLTz6sXFPg/Txzgmb3DrF1QaHY5L8kyDaI4ob8SMtuZ2is2M92MCyBTxeFzSAzDOKJz10sxTfOI4YPDw8MTVtuLlcvlcdfF4snt5Wxraxt3PZm1ikx1acdkQWt9yeR06uEkSWCgElD2I4YqIT0jAbUgZne1yr5BgyhJCKIEz6535CqkLTKuzeyCq3fpRGRKSzkm65a28Mst/cxvSY3Nb5qKHMukNWszojbsTTfjAshUWAFJkmRcK2DXdfG8k2tTl06nx11P5k39i4c2vtJaS6XSK65JZCY5uPe4NeMw77D3FipBTNmPqAQRfSMBQZQQhDFbe3z8KMEPYyzToCVt05Jx8GyTOUWPtGNiGPWuXMonItJs81o85hY97t3cz1vO7pqyTTlSjklXzqNUC5tdyilvxgWQqSCKIqLoULq2LAvLOrmpm7Y9/n+N7/sTUtvRHN6t62i/9vG8+PlTYQ6LyHSQdkzSjgk4zG+pr5pEcb1FsB8llGsRtSim4kf0lwPKfsxTe4aJ4oR8yqI14+BaJrMKHhm33onLtU0s09DkdxFpqHMWFvnxUwd4dMcg5y1uOf4LmsAy62/c9I1M3j2VnJgZF0AMw8AwDJKkeZMuD05/PigIgiNu8o/nxTfxmUzmGM985V684nGyYefFtR6cySIiJ88yDfKjQxXbs4fOhfhRTBQl+FFCLYzpHQkYqgSUaiE7d1Sp+BEpx6KYtjAwaM86FDM2rm2ScSzSjoVrK5SIyORIuybnLS7y82f7mF3wWNSePv6LGswA2rI223orx32uTK4ZF0CmilQqNfbfQRBQrVZP6vUvPpdxonM5Xo4Xb6E62VpfPPxxMmsVOVW5lgkWHPzb2pV3SZL6ls8wSYiihL5ySN9IQM+wzwu9FcLuBMuEjGPh2ubYVrB8yiLv2fVWwa7NCY4oEhF5SQtaU6yYneXRnSVmF70p2RXLtgz8MKYWxlOyvlPFjAsgU+EMCHDEofOBgYETfm0YhvT19Y1dW5Z1UofYT9aLP3dvb+9Jvf7Fz3/xAXoRmRyGUf+e52KABfNci3kth1Y0E2CoUg8lvSM++4Z8+sohnmVgmmBiUAsT8mlr7JxJIWXTlnE07V1EXpbXLCqyZ6CbR3cMccGSqXc/kHJM8imL4VqkANJEMy6AAE3fggVw2mmnce+9945d792794RfOzg4OG4yeUdHB52dnRNa3+GWLFky7vpkag3DcGwGCNRXU2bNmjVhtYnIy2cAxbRNMW2zuOPQSmfFj+kb8SkHEd2lgJFa/RD8vqEatmlSCWJIEvJpm46sQzHtMLvgaQuXiByXacB5i4vc81wfC9vS494UmQoyTn1QbP9IMG6bqzTWjAsgU2UFZNmyZeOun3vuuRN+7a5du8YFkM7Ozkkd7PfiWl88Gf2l7Nu3b1xgaWtrY/bs2RNWm4hMvLRrMs8dbRU8OvYnSWCgHFANY/pGAoZrEdUgZt9gjf1DPo/uGALAtQxaMg4tGZs5BY9sqn7mRB25ROSgOUWP1XPz/GJzH28+q5OcN3VuN127viW1HKgVbzNNnT8RM8yaNWvGXT/xxBMn/NpnnnmGOI7HrlesWDGpwerFtT755JMn/NrNmzePaxG8bNmyST0wLyKTwzCgdfTdwDnFQ+9Ylv2IIEoYqoZUR9sGD1YCDpR8nts/QjVMcCyDzpxD1rNpz7oU0xaWaeBaJrZpYE/RlpwiMnlWzsmyZ7DKr7cOcvmK9maXM8azDVK2yb4hn7PmNbuaU9eMCyAHu2A12/nnn08+nx+biXH//fdTKpVO6CzHT3/603HXl1566aTUeNBZZ53FggULxqa3P/LII+zevZt5847/N/OOO+4Yd33xxRdPSo0i0hwZt95CvJg+9OMijBKiJKESxPhhzIgf0T8S4IcxT+8tMVgOybgWhbSFbRoU0w4taRvHrrcd9uz6PxqyKDJzWabB+qWt/PTpHh7bVeJV8yfvLOvJ8hwTf+TkupPKxJpxAWSqmDVrFq9+9avHzoHs37+fH//4x/zhH/7hS75uYGBgXAAxDINLLrlkMkslk8mwbt06brvtNqDeget73/se11577Uu+zvd9vv/974977PLLL5+0OkVkarAtAxtj3AHOxe1p4iQhiutT3atBTO+wT3+l3pVrc3cZyzTIuiamYZByTArpepvgvGePzURJuyc3M0lEpq6sZ/Gq+Xl+uWWAeS0enbmpMSU941oYQBAlU3Zo4kw34wLIVFj9OOjP/uzPxh1E/8IXvsDVV1/9kjV+5StfGXeo+9JLL2XlypWTWifUaz0YQABuuOEG3ve+973kTI9vfvObbN68eez6rLPOYt26dZNap4hMXaZhYFoGjlX/Ad922AHPJIHa6PmSvnL94PvOvipxUt/+5ZgGUQJZ1yLjmuRT9a5cOc8i5ymUiExXy7oy7B6s8cvnB3jjmo56S/EmSzsWGDBcC2nN6CB6MzT/T8EkmCoh5Oqrr2bBggVj10888QR//dd/fczn33HHHVx//fXjHvvIRz4yafUd7vWvfz1r164du965cyfvfe97x51FOdxvfvMbrrvuunGPXXvttSc9RV1ETg2GUW9/ObfFY/XcHOctLvKmNZ28aXUn551WZMXsLPNaPBISStWIbb0VHt81xO1P9/D933Zz96ZeHto2yJYDZbpLPn7U3E6HInLiXruoQELCk7uGj//kBkg59ZXYsn/0exyZfDPubnGqhA+ot6S94YYbuPrqq8ce+5d/+RcOHDjAddddx6pVq3Ach/3793Pbbbfx2c9+dtxU8T/4gz/gTW96U0NqNQyDL3/5y1x++eVjoeM73/kOfX19fOpTn+JVr3oVqVSKnp4efvCDH/DpT3963GyT9evX8+53v7shtYrIzGGa0Jmvb8tYdNjjI7WI4VpIfzlksBKSAGU/ZqhSob8cUA1i8imbjpxDS9oh49VnmeRTNqYBpmkwdX4aiJzaMq7FhUtauXNjL7MLLvNaU8d/0SRKOSaWARVfnbCaZcYFkKnmqquu4sEHH+TGG28ce+z73/8+3//+91m4cOFYADm8kxTA8uXL+frXv97QQHXJJZfw+c9/nk984hNjj911113cddddzJ8/H8/z6OnpYXBwcNzr5syZwze/+U1cd2rs7RSR6S/rWWQ9i1mFQx25wjih4kcM1yJK1ZAohoFKQM9wjf4DEf3lgLRj0path5L2nEM+ZZOyTRzLwLZMXO33FmmKroLLqjlZHto+yO+Obq9stRCY7AAAFspJREFUloxjAQZD1bBpNZzqZmQACcNDf6B8329iJXX/9E//RHt7O5/+9KfHPb5jx46jPv/iiy/m29/+Nu3tjW9b93d/93fk83k+8pGPEASHOkTs2rXrqM9fu3Yt//7v/37EMEMRkYlmmwb5VH2V42Cr4DhO8KOEIIop+zFBnDBYDhiqhLzQU2b/oE8C5FMWrWmH1qxDa8bBsQwcyyDjWjiWqYOoIg2wdmGBnpGAB7b0c/mK9qZ1wrOtehONUk0rIM0y4wKIbdvMmTNnLIRMlancn/rUp7jwwgu58cYbuffee49YRbBtm1WrVnHNNdfwoQ99CMdp3qGoD3zgA7z2ta/ly1/+MnfddRe9vb3jPm6aJitWrOCqq67iox/96Am1FhYRmQymaZAy61218qO7Oua3eMRJQhgnhAc7co0ElGshpWrI891l4iTBsUyKaRvXrgcb1zJxbZNi2sKzdfhdZDKcv6SFHz3RzcZ9I6yem2taHZ5jUAt1lqxZZlwAWbZsGRs3bgQgSZIpdSj60ksv5dJLL2XPnj1s2rSJ7u5ufN+npaWFpUuXsnLlyilzhuXcc8/lv//7v+nu7mbTpk3s27eParVKoVBg8eLFrFq1akr93oqIHM40DFzLwD1GRy4/ihkoBwxVI0b8iN0DVYIQEhIyjollGTiWiWuZ5FIWxZSNZ5u051xNfBd5BfKexUWnt/Kzjb105BxmH7bNspHSjkU1CAnjBFt/qRtuxt1BmqZJsVhsdhkvae7cucydO7fZZZyQrq4uurq6ml2GiMiEMQzwbJNZBY9ZhfpjB4ekDdciBsoBtTBm31CN4dpoQOmvEkQxlmViGQb5lEVbxsGzTTpyLlmtloicsHnFFKd3Zfnlln5ev7KzKauNWc+id6Te0EKrnY034wKIiIjIy3X43JGlnRmgPvl9oBJQCWJK1ZARP6Lsx2zvq4eSKE4I4/pr27MOKcekPevSlnUwDLAMg0YsbiejM1VEpjrDgAuWtnD70z3c/3w/b1jV0fAaXMugGkQKIE2iACIiIvISbMug40UTnOMEyn5IECaUg3ogKVXrrYN39ld53C9hGAZpx6Q1Uz/4nnEt2rN2fZK8WT9v8kp2fsRJfep82a/fRGVci0LKVgiRacEAzjutyO1P9/DUnuGGnwfJujaWaeBHmgXSDAogIiIiJ8k0IOfZ4EErh86X+FGMHyb4YUwQJQzX6u2B9w/V2DNYI0nqWz/ynkXLaDeutmw9nKRdE8c0STlHzgiOk4RaGDNcjaiFCT3DPrsHqhwo+QRxwrolLXTlXYUPmVbasg5rF+b59dZB2rPOWHe7Rsh6FnEC1UCdsJpBAURERGSCuJaJawGjWzpmAUmSJozrrYL9MMGP6l25Bso+W3t8nt4zTMazyLomnm3hOaMhJDm0rapvJKC/HNAzHDDiR0RxQjWIWNCa4g0rO5jX6mEqfcg0dObsHBU/5r7n+7lyVQf5VGNuTVOOSXV05VIaTwFERERkEhkGo3NHLDKjO7m68i6QJUkgjGNqYcK+wRqVIGb/UI0Xuit0D/s8vqtEGMWkXQvLrM8usE2DrGdxweIWXre8pb4SIzKNrV1QYO+QzyPbh7jkjLaG/bpp1yRRJ96m0HctERGRJqmHExPHgmVd9UPva+bV98JXg5jfbB/kgRcGeHZ/mSBKCKOIME7IeRauY/DojhJJktCWdSikbVrT9X+LTCeGAZcsb+V7j+7nyd0l1sxrzHwx1zaohjoD0gz6LiUiIjIFpRyT9ctaWT0vzzN7hnl8V4nuko8fxbRkbAqp+iHaih+xv+TTXfKphfVtXq5tUEw7tGdsCmmHzryLaYJJYzpyiZysrGtxwZIiD28boi3rMK8lNem/pmdbVEa3NDZrKvupSgFERERkCmtJ26xb2sKyrgy/3jrIU3tKDFUj+sshr1/ZDkAliPDDhBE/olQNqQUxpVrI/mGfbX1VBishnm3QmnXIuTZZz2JWwR1dfTGwTKNh7YJFjuX0riyDlYhfbO7nrWd3kXYntz1uzrMYjBOiBNSIt7EUQERERKaBrrzLlas7WNiW4v7n+3l0xyAtGZvzTiuSdizSDhTTNox2EoriepteP4op1yJqUUKpGtI34tMz4vPE7hJQn0ydT9l4jklXzsVzTDzbJGWb2KMBRaRR1i7IM1QJ+eWWAS5b0f6KWlUfT86z6BsJ8MMY11IEaSQFEBERkWnCNg3Onp9nWWeG3+4c4oUDZRa1pZhdOLJ9qWXWVzZSjknhsM5CUZwQjc4QqQUxB0o+pVpI2Y94dGeJIIpJ2SYZ1yIB2nMuudE2wTnPIuNaePaRrYJFJoJlGpy7uMidz/Tw0LYBzj2tOGkd3lKORRglhFGM1kAaSwFERERkmsl6FuuXtbJ3sEbtJA/RWqaBhYFr1ffdt2UPzTGJk4QwSugZrrf97R0J2DNQJYrrrYLSjkWcJJiGQVvWJu1YFNM2+ZRNLmWjxRKZCDnP4oIlLfz06QN05V2WdGQm5dexTYM4SYjVCavhFEBERESmqYke3GYaBq5tMLfFY27L+M89WAkZqAT0DgccGPY5MBwAAWY/BHFCNYgppGxaM3Z9+nu2PgFeZ3vl5ZhT9Dj/tBYe2jZE3nPozDvHf9FJynkWfpScdIiXV04BRERERI6rmLYppm0WtaXHHvOjhKFKwEAlHNtLP+JH9JUD6IGhSoRp1g/Sd+TqgWR2IYVtGRigQ+/yklbOzdFfCXnghX7euLpzws8jZVwLP4zxIwWQRlMAERERkZfFtQw6ci4dORc6649FccJwLaISxAxWAip+PZT0jgR0l3x+vXUI06jPYGjLOrRmXGYVXFKOiQk4tolpoMnuAsAFS1r48ZPdPLCln4uXT+yQQsOobzuMlT8aTgFEREREJoxlGqOrJTC7UB/9ngC1ICaIY0Zq9ZbBg5WQUjXkwHCNZ/YOE8YxjmXSmXPJOCZtOZesa2GZ9bMntmXo8PspyDTgotPbuPOZHp7YVeKs+RM7pDDlmEQah95wCiAiIiIyqQzqN3opTPLeoVuPOEmIYsa2wZSqEf3l+laup/YMU/EjTKO+/SvtWuQ9u96FyzHq0+Atk6xn65zJDNeStnnNoiK/eK6flozDwraJG1LoWKZWQJpAAURERESawjQMTAscyyKLRethN5dxkhDGCSO1iJ5hn1qY0F2q8UJPhGsbeJZBnNT38addk9RoR66UbZJL2aQdrZbMJEs60gxXQ+5/vp83rOoY173tlXBtk5FaNCGfS06cAoiIiIhMOaZh4FoGbsakNXPwZjMHQC2M6R0OGKoGlKoRfSMBUeyzE4OEBMs0sE2DlGPRmrHJeRY5z56wm1ZpjrPm56mGMb/aOsDlK9onZEueaxkEUUycoJW0BlIAERERkWnFs816q2AOtQqO4oSBckgliBjxIwbKIbUwZvdAjWoQUfFjXNsk7ZgU0zYdOZesZ9OWtXEsUzef08TaBQX+d2MP/7uxl9ev7HjFnbFc2yCIEpIkUVu2BlIAERERkWnPMg3acw4wfpWj7EeU/XooqfgxtTBmqBqyrbdCd8nHjxKKaZvOnEM+VR+u2JZ1yLgmjmVimYbCyRTiWAavO72Nuzb28OTuEq9eWHhFn8+1TCp+SJxoFnojKYCIiIjIjJVxLTKuRcdhj4WjgxMrQUS5FhElMFwNGayGPLe/TKkaknEtWrP12SetGYeMa5GyTTzHxLVMUjpj0jQ5z+J1p7fxkycPkPUszpiVfdmfy7ZM/CgmjhOY4DkjcmwKICIiInJKsU1j9FyIdfBYCQkQRglhFFMNY8IYuks1RmoRW3sqHCj5GIZBPmVSSDm0ZGyyno1jGniOScYxyXk2tm5iG6It63D+0hbuebaPtGO97M5YKdvENOpnh6RxFEBERETklGdQ397jWBZpt74ZpzNX385VbxecUPZjeod9KkFMXzlgW28Vkvqta9azyLoWnm3i2CZZt96VK+2Y5FO63ZoMyzozdA/5/GJzH285u+tl/T7X2/AmqBNvY+lvhIiIiMhLqLcLNiim6wfYDxdECf3lgJFaxFA1YP9QQBQnxEmCaxsYGBhG/eB8MW1TSNfPmXTl3SZ9NTPLuYuLDFVD7n62jytWtpN2Tu4kh2ub+HFS34IlDaMAIiIiIvIyOZZRDxN5gPTY46VqxHCt3pXrQCkgiGL6RkL2D/nESUItTLBNg2LGpjXt4DkmswsuacdSM6aTYJsGl69o5+fP9vLI9iEuXNp6Ur9/rm0QRgnKH42lACIiIiIywfIpi3yq/m78ktET8EGUMOJH+GFMfzmgFsT4UcLewSrVMObxXTFRDIVUfWaJZxvMKnjkPGtstolpGiifjOdYBhed3sqPnjjAw9sGOXdx8cRfaxqUqiGREkhDKYCIiIiINIBjGbSMbuE6fAtWxY8I4oSKH1MNIvrLIcO1kIFyxJYDZSpBTNa1aMk42JZBe9ahLevgmAaubeLZ9XbBp7K0Y3HRsjb+d2MPaddizbzcCb3OtkZXQHQIpKEUQERERESaKO1apIHCaCOnRe31jlxRkhBECUEU018O6S8H9A777B6oEUUxjm2S92yyrjUWTNKuRdYz8SyTlGudUqsls4sul61o5xeb++jKu8wqHP+cjWHUQ5y2vTWWAoiIiIjIFGNbBjYGng1g0ZpxgDRxUn+3Pk4ShqoRvSM+fSM+u/prvNBTJufZpF0TA4hixg6+F1IWOc8+4hD9TDOvxeP0rgx3P9vL757ZTkfupUPIwdyhLViNNbP/FIqIiIjMIPWOXAAGHTmTjpwD1AfxxQnURlsED5QD9g3V2DdUo28kICHBs02i0a1G+VR94nshZdOVd2fUFq7XLCpS9mPufa6PK1d3knFfujNWGCf4oQJIIymAiIiIiMwApgFp12Se6zGvxWPV3Po5iChO6Bn2qQYxB4Z9hqoRQ9WQgXKAbRr4UYJh1FvStqRtWjIOs/Le2CH66Wj9shbu3tTHLzb38zsr2o85INIwIOWYGBps31AKICIiIiIzmGXWu2kBLGqvtwqOExiuhvij50vKfkQ1iBmohAxWQp7ZM4wfJTiWQWfOJZ+yaM+6tGRsLNPAMo36aswUXTgxDYMLl7Vyx9M9/GJzP5ee0XbMcx6ubaL80VgKICIiIiKnGNOAwuh5kMPPSdTCmCBKKPvRWCgZHA0l2/uqDFVCMq5Fa8bGc0yKKYeOXL07l2uZo9Pkp8ah7rRjctkZbfzk6R4efGGAdUtbjvo8TUJvPAUQEREREQHqE9s9G3Leoe1XcVLfxuVHMbUgphrG9I8E9JcDdvRXeHxXCccyyKdtXMsg7Vi05xxc2yTjmKQcE8eqtwtutELa5vUrO/jfjT08tWeY1XPHt+c1AAODih81vLZTmQKIiIiIiByTaYBpGTiWRXb0QPfcokeS1LtxHTzE3V8O6Bn2GfEjntpdIk7AtUw8x8S2DAqejeuY5FyLQtom41qknckPJa0Zm9cuKvLzZ3vJe9bYNjSot+FNuyYvp1/x5s2bcV2XRYsWTWC1pwYFEBERERE5aYYBllE/D+LZ9c5aC9tSYx/3w/rh9+Fa/YxJz0hAbSghoX62JIwSHNsk65rkPJu2jEMuVW8VPNFnSxZ3pBmoFLhncz+XmwbzW1OjX0NSD1gn+ett2rSJT37yk7zxjW/kfe9738QWewpQABERERGRCefaBnNbPMAb9/hgJWSoEjJQCRiuRQRRwv4hn/1DNYZrMX4YU0jbdOQcWtI2GdemJWOP2xb2cqxdUCBO4N7N/VxxZjudeRfbNOvT5K0T/9xbtmzhM5/5DI8++ijvfOc7X1FNpyoFEBERERFpmGK6vsqxgPGrJaXaoWASxVD2I3ZUqgzXIgYqAVm3frakNe3QnnMppm0828Q2DUyz3vnqeM5ZWCAIEx7ZOcRrFha47/kBfvrUAS5Y0srbX91FIXXsW+MoirjjjjvYsGED+/btY9asWRhT4bT9NKQAIiIiIiJN5doG7bZDe7Y+8R0gjBKqYUw1iBiuRfhRwkg1ZKga0j3s010KIEkoZurbt9qyDh05F8cysE0DzzbHWgYf7rzFRf7lvp187kcvsK2nQiWI+fGTPWy4dycfuXwhf3TunKPW+NBDD3HDDTdw9tlnc+2117JhwwaCIJjs35oZSQFERERERKYc2zLIWRY5z6LjsOZVfhTXw8loR66Bcn0r14GSz1N7hoH64fe2rI1n1ye+u3a9PXBbxuGZvcPc+sBefr11gLRr4VgG/ZWQPQOD/O3/PEdL2uGNazqOqMfzPK677jouu+wydu7cSRSpc9bLpQAiIiIiItOGa5m4FmQO68gF9XkeYZzgRwkD5YCBSkg1iNi4dxg/inEsk7xn858P7+WRHYMUMw6WAQlgmwYp22TfYI3//s0+LlzWQjE9/jb51a9+9dh/VyoVkiRp2Nc80yiAiIiIiMi0Z5oGrmngjs4xmd86+oFF9TkmtTBm074RdvfXsM36sMSDEeLgv1OuxcZ9I+zqr1JM547yq8hE0OR5EREREZnRLNMg4462CTYg4eirF3GSkPcs0u4r67glL00BREREREROCfmUzdnz89TCmCQ5NH/QoL4K4vsRy7oyzCm4Taxy5lMAEREREZFTgmebvOPVs1jelWWwHFAOIsKovj1roByyfHaWPzp3tlZAJpkCiIiIiIicMl6zqMDNf7iC9ae30jnatte1Tc5bXOCfrlrBJcvbml3ijKdD6CIiIiJySrliZTvrl7XwwAsDPLV7mJxn8/pV7SxoTR3/xUAYhgwMDFCtVie50plJAURERERETjkZ1+J3VrTzOyvaT/q1XV1dvOtd72LNmjWTUNnMpwAiIiIiInIS5s6dywc+8IFmlzFt6QyIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIiIiIiIg0jAKIyKgkSTBNE8/zml2KiIiISFO5rgvU748mmj3hn1FkmjJNkz179nDnnXeyaNEifN9vdkkiIiIiDee6Lo899hgDAwNYljXhn18BRGTU7NmzOeOMM9i2bRvd3d3EcdzskkREREQazjAMRkZGWL16NcViceI/fzIZ6yoi01Acx1QqFarVarNLEREREWkqwzBIp9OkUikMw5iwz5skiQKIiIiIiIg0RpIkOoQuIiIiIiKNowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINowAiIiIiIiINYydJ0uwaRERERETkFPH/AxDCbkM5Z59PAAAAAElFTkSuQmCC\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThere are no bridges to get from 2 to 1 or from 3 to 2 in one step. However,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 122.625px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 61.3125px; transform-origin: 405px 61.3125px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eC = [0 1 1;0 0 1;1 0 0];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eC^2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eans =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e1     0     1\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e1     0     0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4375px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.8px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.8px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.8px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.8px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2125px; text-wrap-mode: nowrap; transform-origin: 405px 10.2188px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e0     1     1\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis means it is possible to get from 2 to 1 and from 3 to 2 in two steps. While there is no 2-step path from 3 to 1, this can be achieved in one step (C(3,1) = 1). So in this case, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 2: you can get from every island to every other island with a journey that crosses no more than two bridges.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 676.8px; font-family: 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\" alt=\"The matrices C and C^2 are shown in two different colors. A grid representing all the possible pairs of nodes has entries in each location showing the minimum number of steps, and the associated path, needed to travel between each pair. (The diagonal entries are blank, as these would represent traveling to the same node/island.) The four non-zero elements of C correspond to four pairs of islands that are connected with a single-step journey. The remaining two pairs (2 to 1 and 3 to 2) are connected with two-step journeys.\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eAssumptions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhile it is dangerous to expect too much rational behavior from Lord Ned, he won't strand his citizens, so you can assume that a finite \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e exists for the given connectivity matrix \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. This also means the problem is trivial for one or two islands, so your solution only needs to work when \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is at least 3-by-3.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = numbridges(C)\r\nn = sum(C==1,\"all\");\r\nend","test_suite":"%% Test case #1: m = 3\r\nC = zeros(3);\r\nidx = [3;4;8];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,2))\r\n\r\n%% Test case #2: m = 3\r\nC = zeros(3);\r\nidx = [3;4;7;8];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,2))\r\n\r\n%% Test case #3: m = 4\r\nC = zeros(4);\r\nidx = [2;7;8;10;13];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,3))\r\n\r\n%% Test case #4: m = 4\r\nC = zeros(4);\r\nidx = [4;5;7;8;9;14];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,3))\r\n\r\n%% Test case #5: m = 5\r\nC = zeros(5);\r\nidx = [5;8;11;12;14;18;22;23];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,3))\r\n\r\n%% Test case #6: m = 5\r\nC = zeros(5);\r\nidx = [2;5;8;14;20;21;24];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,4))\r\n\r\n%% Test case #7: m = 6\r\nC = zeros(6);\r\nidx = [3;4;7;11;18;23;24;26;30;32];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,4))\r\n\r\n%% Test case #8: m = 6\r\nC = zeros(6);\r\nidx = [3;11;12;13;18;19;28;32];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,5))\r\n\r\n%% Test case #9: m = 7\r\nC = zeros(7);\r\nidx = [3;4;6;8;13;14;20;21;23;31;36;47];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,6))\r\n\r\n%% Test case #10: m = 7\r\nC = zeros(7);\r\nidx = [4;11;13;14;19;22;23;26;28;30;34;35;37;38;45];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,5))\r\n\r\n%% Test case #11: m = 8\r\nC = zeros(8);\r\nidx = [2;4;5;6;8;12;13;17;27;39;44;48;54;58;60;62];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,5))\r\n\r\n%% Test case #12: m = 8\r\nC = zeros(8);\r\nidx = [3;9;12;20;24;29;30;31;33;44;48;50;53;54;58];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,4))\r\n\r\n%% Test case #13: m = 9\r\nC = zeros(9);\r\nidx = [8;9;10;14;15;22;25;26;29;33;36;42;44;47;48;50;53;54;55;67;80];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,5))\r\n\r\n%% Test case #14: m = 9\r\nC = zeros(9);\r\nidx = [8;10;22;32;37;40;43;45;47;53;56;57;62;64;69;70;73;77;79];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,7))\r\n\r\n%% Test case #15: m = 10\r\nC = zeros(10);\r\nidx = [2;5;8;13;16;20;24;27;28;36;43;49;53;62;71;75;77;83;86;87;95];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,5))\r\n\r\n%% Test case #16: m = 10\r\nC = zeros(10);\r\nidx = [4;9;14;21;22;35;37;38;44;47;50;51;53;55;59;61;63;66;69;76;77;84;85;86;90;97];\r\nC(idx) = 1;\r\nn = numbridges(C);\r\nassert(isequal(n,4))","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":287,"edited_by":287,"edited_at":"2025-11-10T02:22:17.000Z","deleted_by":null,"deleted_at":null,"solvers_count":87,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-11-04T20:34:09.000Z","updated_at":"2026-02-13T15:41:43.000Z","published_at":"2025-11-10T02:22:17.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe fabled city of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eNedsburg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e consists of several islands connected by bridges. Due to tectonic forces, shoddy civil engineering, and the whims of the city's capricious dictator, Lord Ned, the number of islands and the arrangement of bridges are constantly changing.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTherefore, instead of a map, visitors to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eNedsburg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are given a connectivity matrix (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e): a square matrix of 0s and 1s, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) = 1 if there is a bridge from island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) = 0 if not. Lord Ned’s diabolical nature means that the bridges can be one-way only. This means \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is not necessarily symmetric. That is, it is possible to have \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) = 1 (you can travel directly from island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) = 0 (you can’t travel directly from island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBecause Lord Ned likes to torture visitors with math problems, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eNedsburg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e transit system has an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e-bridge pass which allows you to cross up to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e bridges in one journey. Not surprisingly, the pricing scheme gets eye-\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ewateringly\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e expensive as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e increases and once you purchase your pass, you are locked in to that price (at least until the connectivity matrix changes). Visitors are therefore advised to pick the smallest possible value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that allows them to get from any island to any other island in one journey.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTo prepare for your upcoming trip to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eNedsburg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to watch the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eNedball\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e World Cup, you need to write a function that, given \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, returns the minimum \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e needed so that there is a path from every island to every other island in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e steps or fewer. That is, find the smallest \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e such that every pair of islands is at most \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e bridges away from each other.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA handy bit of math that might help is that the value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"21\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"53\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e represents the number of paths of exactly \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e steps from island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to island \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. (Here, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"21\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"22\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the matrix power; that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"18\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"91\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId3\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, using matrix multiplication.) Therefore, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"21\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"79\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then there is no way to get from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in exactly \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e steps. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"21\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"79\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId5\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, there is at least one path (of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e steps) from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore, one way to solve the problem is to find the smallest \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e such that, for every \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e pair, there is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esome\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e ≤ \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"21\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"79\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId5\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConsider this arrangement of three islands with four bridges (1→2, 1→3, 2→3, 3→1)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"361\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"704\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId6\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are no bridges to get from 2 to 1 or from 3 to 2 in one step. However,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[C = [0 1 1;0 0 1;1 0 0];\\nC^2\\nans =\\n1     0     1\\n1     0     0\\n0     1     1]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis means it is possible to get from 2 to 1 and from 3 to 2 in two steps. While there is no 2-step path from 3 to 1, this can be achieved in one step (C(3,1) = 1). So in this case, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e = 2: you can get from every island to every other island with a journey that crosses no more than two bridges.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"671\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"708\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"The matrices C and C^2 are shown in two different colors. A grid representing all the possible pairs of nodes has entries in each location showing the minimum number of steps, and the associated path, needed to travel between each pair. (The diagonal entries are blank, as these would represent traveling to the same node/island.) The four non-zero elements of C correspond to four pairs of islands that are connected with a single-step journey. The remaining two pairs (2 to 1 and 3 to 2) are connected with two-step journeys.\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId7\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eAssumptions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhile it is dangerous to expect too much rational behavior from Lord Ned, he won't strand his citizens, so you can assume that a finite \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e exists for the given connectivity matrix \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. This also means the problem is trivial for one or two islands, so your solution only needs to work when \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is at least 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