+{"id":"country-postman","title":"Country postman","description":"Country postman has to delivery the mail all the inhabitants of the area, who live in the villages and next to the roads linking villages.\n\nYou need to help pave the postman route - find a path that will allow him to ride along every road and visit every village in the area at least once. That's fortunate that in the considered examples of such a route is always there. However, the marked routes may differ quality, ie. the postman can receive different payment for his work depending on the chosen route (as we will see, it does not gain the postman is the most important, but the profit of his company, the post office).\n\nThe inhabitants of each village would like to postman reached them as soon as possible. Each village has concluded with the post office the following agreement: if `i'th` village is visited by the postman as `k'th` in order (means the postman visited already `k - 1` other villages before he reached `i'th` village) and `k <= w(i)`, then village pays the post office `w(i) - k`CHF. Although, if `k > w(i)`, then the post office pays village `k - w(i)`CHF. \n\nMoreover, the post office pays to country postman one CHF for each passage between two successive villages along his route.\n\n### Notes\n* We mark villages with `id` - which is number between `1..n`, `n` is number of villages.\n* The post office is located in the village identified by a number `1` and thus the postman route must begin in this village.\n* In each village coincides 2, 4 or 8 roads.\n* Between the two villages there may be several different ways; the road may also return to the same village, from which it emerged.\n\nWrite method `findPath` to find the route that runs through every village and along every road, and which achieves the post maximum profit (or suffer minimal loss).\n\nIf there is more than one solution, your program should calculate one of them.\n\n### Input\n* `villages` - id of village is `i = index + 1`, the values in array represents `w(i)`, where `1<=w(i) <= 1000`, that is the initial amount paid by the village to the post office number `i` (this amount is obviously modified as described at the beginning of the task the way).\n* `roads` - array of paths, every path contains two village ids which it connects\n\n### Examples\n\n* `[1,7,4,10,20,5], [[2,4],[1,5],[2,1],[4,5],[3,6],[1,6],[1,3]]` -> `[1,5,4,2,1,6,3,1]`\n","timeLimit":1,"memoryLimit":32,"level":3,"func":{"name":"findPath","returnStatement":{"type":"[I","comment":"Array of village ids as the most optimal path for country postman"},"parameters":[{"name":"villages","type":"[I","comment":"array of village ids"},{"name":"roads","type":"[[I","comment":"paths joining different villages"}]},"testCases":[{"input":[[1,7,4,10,20,5],[[2,4],[1,5],[2,1],[4,5],[3,6],[1,6],[1,3]]],"output":[1,5,4,2,1,6,3,1]},{"input":[[1,2,5,1,12,2,3],[[1,2],[7,7],[2,5],[3,7],[4,3],[1,4],[5,2],[2,3],[3,6],[6,6],[6,7]]],"output":[1,2,5,2,3,7,7,6,6,3,4,1]},{"input":[[1,1,1,1,1,1,1,1,1,1],[[7,7],[4,10],[2,7],[1,3],[5,4],[10,4],[3,1],[3,8],[8,7],[4,5],[7,8],[4,3],[5,1],[5,2],[6,7],[7,4],[9,9],[8,9],[8,8],[4,4],[8,3],[7,6],[6,1],[2,2],[3,2],[5,2],[9,6],[1,1],[2,5],[3,10],[10,8],[1,5],[1,5],[2,3]]],"output":[1,3,1,5,4,10,4,5,2,2,7,7,8,3,4,4,7,6,7,8,8,3,2,5,2,3,10,8,9,9,6,1,1,5,1]},{"input":[[32,32,25,15,64,49,87,28,72,85,75,79,56,85,97,37,86,31,81,80],[[5,7],[9,10],[15,17],[1,10],[10,9],[20,19],[6,5],[14,16],[19,20],[2,1],[13,15],[6,8],[11,13],[16,15],[12,11],[13,14],[4,3],[20,10],[10,12],[7,8],[15,16],[18,20],[2,4],[16,18],[1,2],[4,6],[8,7],[9,11],[7,9],[17,18],[11,12],[18,17],[2,1],[5,6],[1,1],[14,13],[3,5],[8,10],[3,4],[1,20],[20,19],[20,20],[17,19],[1,3],[10,10],[12,14]]],"output":[1,2,1,1,10,9,10,12,11,13,15,16,14,13,14,12,11,9,7,5,6,8,7,8,10,10,20,19,20,18,16,15,17,18,17,19,20,20,1,2,4,3,5,6,4,3,1]},{"input":[[35,95,25,8,10,98,52,45,25,6,55,46,46,52,61,7,9,43,92,79,84,28,52,75,12,100,58,56,83,64,22,47,94,78,40,22,10,63,34,46],[[2,19],[20,20],[8,9],[8,3],[39,40],[35,13],[25,26],[9,13],[37,21],[2,21],[34,2],[22,38],[36,12],[27,28],[40,1],[32,40],[9,3],[6,6],[10,19],[30,28],[20,39],[12,13],[25,3],[29,9],[11,3],[18,6],[22,15],[17,18],[23,24],[4,5],[10,10],[29,30],[31,13],[18,19],[15,15],[35,40],[16,17],[9,20],[3,4],[8,4],[13,14],[21,25],[28,11],[8,8],[33,24],[31,19],[21,16],[31,34],[4,27],[36,35],[30,31],[9,10],[5,38],[17,16],[18,18],[21,22],[37,38],[36,37],[9,9],[21,19],[3,14],[10,11],[2,3],[27,26],[32,33],[11,25],[32,2],[38,38],[34,35],[4,4],[31,32],[25,18],[13,29],[36,18],[31,40],[22,24],[33,34],[4,36],[20,34],[35,14],[32,35],[17,11],[15,13],[11,23],[16,13],[26,27],[36,36],[1,2],[6,7],[28,29],[11,2],[30,1],[12,25],[32,10],[14,15],[28,26],[8,6],[19,37],[38,30],[23,23],[30,19],[35,28],[20,21],[7,8],[8,30],[15,16],[10,40],[22,23],[23,22],[14,14],[24,25],[34,32],[15,16],[22,28],[15,10],[16,16],[35,36],[11,12],[33,4],[40,38],[23,32],[1,5],[14,22],[30,31],[28,39],[25,18],[38,39],[3,6],[5,6],[19,20],[23,2],[20,21],[34,34],[14,6],[40,31]]],"output":[1,40,39,20,20,9,8,8,3,9,29,30,28,11,3,25,21,2,19,10,10,9,9,13,35,36,12,13,31,34,35,40,32,33,34,2,32,31,19,18,18,17,16,17,11,25,18,6,6,8,4,3,14,13,29,28,27,4,4,5,38,22,15,15,13,16,21,37,36,36,4,33,24,23,23,11,10,32,35,14,14,15,16,16,15,10,40,31,30,1,2,11,12,25,26,27,26,28,35,36,18,25,24,22,23,22,21,19,37,38,38,30,19,20,21,20,34,34,32,23,2,3,6,7,8,30,31,40,38,39,28,22,14,6,5,1]},{"input":[[12,266,129,692,640,907,337,828,382,413,559,495,342,717,291,798,855,855,41,651,813,570,673,892,385,815,813,94,775,896,851,555,364,519,488,189,517,652,663,654,721,586,238,392,505,663,288,82,901,8,169,179,251,109,993,110,668,638,876,244,868,553,203,267,404,981,779,451,777,111,201,960,212,935,175,749,385,580,100,74,372,963,293,241,932,884,682,201,308,270,984,986,65,106,970,83,775,615,232,109],[[19,12],[88,15],[63,38],[50,2],[1,50],[30,3],[37,100],[21,21],[70,72],[22,95],[23,79],[28,58],[33,98],[14,42],[28,19],[2,71],[36,83],[32,42],[24,69],[72,8],[84,97],[44,83],[75,49],[79,63],[35,11],[16,69],[74,50],[23,31],[92,1],[99,32],[83,66],[78,43],[88,88],[36,83],[47,6],[12,4],[70,92],[64,11],[70,39],[77,42],[68,58],[3,50],[59,59],[76,47],[6,47],[85,27],[84,84],[60,66],[29,13],[17,26],[72,76],[16,39],[76,18],[34,89],[74,81],[100,47],[31,23],[86,36],[48,19],[79,85],[41,41],[93,40],[96,31],[59,41],[46,60],[58,68],[15,65],[91,34],[84,42],[90,72],[77,52],[19,95],[82,21],[96,80],[51,28],[8,72],[86,66],[87,25],[73,73],[63,34],[9,21],[74,8],[58,81],[55,14],[14,55],[8,74],[6,53],[55,44],[61,56],[52,77],[22,10],[4,54],[89,77],[47,76],[12,44],[22,86],[86,22],[55,99],[61,15],[40,73],[94,54],[85,79],[95,57],[27,24],[65,8],[67,44],[71,35],[50,2],[95,19],[97,98],[17,78],[12,24],[33,38],[73,27],[65,61],[66,60],[82,78],[19,19],[38,33],[83,36],[31,29],[21,5],[28,14],[21,82],[42,75],[99,55],[20,61],[17,48],[10,87],[48,11],[36,36],[64,87],[45,79],[5,17],[50,74],[23,12],[90,10],[87,55],[16,31],[7,94],[75,6],[94,89],[92,66],[49,79],[81,63],[8,65],[31,16],[24,2],[71,88],[42,14],[61,64],[4,73],[41,6],[44,12],[29,35],[19,28],[75,53],[10,22],[15,41],[72,70],[39,67],[23,71],[82,30],[25,65],[10,5],[28,51],[70,99],[62,69],[89,94],[76,100],[44,84],[3,28],[52,85],[95,96],[26,62],[81,45],[44,67],[92,84],[68,8],[43,9],[1,24],[16,16],[4,39],[2,24],[48,48],[41,15],[80,96],[27,73],[61,65],[9,9],[100,37],[76,32],[48,17],[66,92],[54,99],[94,81],[100,76],[10,100],[58,54],[90,90],[51,94],[5,86],[46,78],[3,3],[49,55],[42,77],[39,27],[14,28],[18,56],[57,82],[52,34],[11,48],[69,32],[33,33],[65,90],[6,75],[69,62],[12,23],[9,67],[89,89],[68,59],[47,67],[15,7],[57,95],[50,3],[24,12],[63,81],[57,31],[38,35],[72,90],[99,99],[5,21],[59,68],[78,46],[46,88],[39,4],[29,100],[52,89],[65,15],[34,63],[77,77],[64,4],[85,52],[66,6],[32,69],[54,58],[34,48],[90,54],[27,29],[13,68],[35,71],[96,59],[88,46],[3,62],[62,14],[25,87],[24,1],[67,47],[45,85],[64,61],[85,58],[25,26],[78,17],[37,22],[87,87],[11,11],[8,74],[71,93],[80,80],[94,7],[58,85],[80,16],[27,39],[75,97],[55,49],[15,88],[33,35],[40,82],[26,25],[69,51],[17,36],[63,63],[36,17],[79,49],[60,70],[32,32],[59,96],[83,44],[2,80],[49,49],[87,10],[100,29],[95,97],[13,23],[71,23],[32,76],[62,9],[46,46],[67,9],[83,83],[14,52],[96,96],[53,59],[78,82],[54,4],[35,33],[91,92],[68,13],[67,64],[11,33],[54,90],[98,97],[97,95],[92,91],[79,45],[57,37],[62,3],[99,70],[42,84],[47,80],[77,20],[84,92],[66,86],[86,5],[7,86],[69,16],[11,64],[25,22],[73,40],[31,57],[4,64],[53,75],[81,94],[34,52],[2,50],[21,46],[97,75],[49,57],[41,78],[93,71],[56,61],[89,34],[98,25],[73,93],[97,72],[56,5],[22,25],[39,70],[5,10],[81,74],[6,41],[29,27],[82,57],[35,29],[80,2],[9,62],[74,91],[88,68]]],"output":[1,50,74,81,58,68,58,28,19,48,48,17,78,43,9,9,21,21,82,30,3,50,2,71,35,11,64,87,10,22,95,19,19,95,57,82,78,46,60,66,86,22,10,90,90,72,8,74,8,72,70,92,66,83,36,83,44,55,14,42,77,52,77,77,89,34,63,38,33,98,97,84,84,42,32,99,55,14,28,51,28,19,12,4,54,94,89,89,94,81,63,79,23,31,23,12,44,67,39,16,69,24,27,73,73,4,39,70,72,76,47,6,47,100,37,100,76,18,56,61,15,65,8,68,59,59,41,41,15,88,88,46,46,78,82,21,5,17,26,62,69,32,76,47,67,44,12,24,2,50,74,8,65,61,64,4,39,27,85,79,85,52,34,63,63,81,45,79,49,75,6,53,75,42,14,28,3,3,62,69,51,94,7,15,41,6,75,97,95,96,80,80,96,31,16,16,31,29,13,68,59,96,96,59,53,75,97,95,57,31,57,37,22,86,36,36,83,83,44,84,92,66,6,41,78,17,36,17,48,11,11,48,34,91,92,1,24,2,80,47,67,9,62,3,50,2,80,16,69,32,32,76,100,10,5,86,66,60,70,99,99,55,49,55,87,25,26,25,65,61,20,77,42,84,92,91,74,81,94,7,86,5,21,46,88,71,35,38,33,33,35,29,100,29,27,73,40,93,71,23,13,68,88,15,65,90,72,97,98,25,22,25,87,87,10,5,56,61,64,11,33,35,29,27,39,70,99,54,58,54,90,54,4,64,67,9,62,14,52,89,34,52,85,58,85,45,79,49,49,57,82,40,73,93,71,23,12,24,1]}]}]
0 commit comments