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| 1 | +package hackerrank.FlatlandSpaceStations; |
| 2 | + |
| 3 | +import org.junit.jupiter.api.Assertions; |
| 4 | +import org.junit.jupiter.api.Disabled; |
| 5 | +import org.junit.jupiter.api.Test; |
| 6 | + |
| 7 | +import java.util.Arrays; |
| 8 | + |
| 9 | +/** |
| 10 | + * Flatland Space Stations |
| 11 | + * Flatland is a country with a number of cities, |
| 12 | + * some of which have space stations. Cities are |
| 13 | + * numbered consecutively and each has a road of |
| 14 | + * length 1km connecting it to the next city. |
| 15 | + * |
| 16 | + * It is not a circular route, so the first city |
| 17 | + * doesn't connect with the last city. |
| 18 | + * |
| 19 | + * Determine the maximum distance from any city |
| 20 | + * to its nearest space station. |
| 21 | + * |
| 22 | + * Function Description |
| 23 | + * Complete the flatlandSpaceStations function in the editor below. |
| 24 | + * |
| 25 | + * flatlandSpaceStations has the following parameter(s): |
| 26 | + * |
| 27 | + * int n: the number of cities |
| 28 | + * int c[m]: the indices of cities with a space station |
| 29 | + * |
| 30 | + * Returns |
| 31 | + * - int: the maximum distance any city is from a space station |
| 32 | + * |
| 33 | + * Input Format |
| 34 | + * The first line consists of two space-separated integers n and m. |
| 35 | + * |
| 36 | + * The second line contains space-separated integers, |
| 37 | + * the indices of each city that has a space-station. |
| 38 | + * These values are unordered and distinct. |
| 39 | + * |
| 40 | + * Constraints |
| 41 | + * 1 <= n <= 10^5 |
| 42 | + * 1 <= m <= n |
| 43 | + * |
| 44 | + * There will be at least 1 city with a space station. |
| 45 | + * No city has more than one space station. |
| 46 | + * |
| 47 | + * Problem: https://www.hackerrank.com/challenges/flatland-space-stations/problem |
| 48 | + * |
| 49 | + * # Solution |
| 50 | + * The maximum distance any city is from a space station. |
| 51 | + * |
| 52 | + * Example 1 |
| 53 | + * 5 2 n = 5, c[] size m = 2 |
| 54 | + * 0 4 space stations |
| 55 | + * |
| 56 | + * There are five cities, c0,c1,c2,c3,c4. |
| 57 | + * c0 and c4 has space stations. |
| 58 | + * c2 has the maximum distance either to c0 or c4. |
| 59 | + * So maximum distance is 2. |
| 60 | + * |
| 61 | + * We only need to find the distances from those |
| 62 | + * cities which do not have the space station. |
| 63 | + * |
| 64 | + * Example 2 |
| 65 | + * 6 6 n=6, m=6 |
| 66 | + * 0 1 2 4 3 5 |
| 67 | + * As all the cities have stations, maximum |
| 68 | + * distance from any city to a space station |
| 69 | + * is 0. |
| 70 | + * |
| 71 | + * |
| 72 | + * |
| 73 | + * Pseudocode |
| 74 | + * maxDistance = 0 |
| 75 | + * We have to calculate the distance for each |
| 76 | + * city to another, so we need two loops. |
| 77 | + * |
| 78 | + * for i=0;i<cities.length;i++ |
| 79 | + * for j=i+1;j< |
| 80 | + * |
| 81 | + * I think we just need to find maximum distance |
| 82 | + * between two stations, i.e. from a city to a |
| 83 | + * station between the stations. |
| 84 | + * |
| 85 | + * The distance from one (minimum) end point to |
| 86 | + * a space station. |
| 87 | + * |
| 88 | + * If there is only space station, calculate the |
| 89 | + * max distance from both ends. |
| 90 | + * |
| 91 | + * If there is only space station which is at |
| 92 | + * the either ends, get the distance from the |
| 93 | + * number of cities-1. |
| 94 | + */ |
| 95 | +public class FlatlandSpaceStations { |
| 96 | + public static int flatlandSpaceStations( |
| 97 | + int noOfCities, |
| 98 | + int[] spaceStations) { |
| 99 | + int noOfSpaceStations = spaceStations.length; |
| 100 | + |
| 101 | + if (noOfCities == noOfSpaceStations) |
| 102 | + return 0; |
| 103 | + |
| 104 | + else if (noOfCities == 2 && noOfSpaceStations == 1) |
| 105 | + return 1; |
| 106 | + |
| 107 | + else if (noOfCities == 3 && noOfSpaceStations == 2) |
| 108 | + return 1; |
| 109 | + |
| 110 | + else if (noOfSpaceStations == 1) { |
| 111 | + |
| 112 | + // if the space station is at first or last |
| 113 | + if (spaceStations[0] == 0 || |
| 114 | + spaceStations[0] == noOfCities - 1) |
| 115 | + return noOfCities - 1; |
| 116 | + |
| 117 | + else { |
| 118 | + return Math.max(spaceStations[0], |
| 119 | + noOfCities - 1 - spaceStations[0]); |
| 120 | + |
| 121 | + } |
| 122 | + } |
| 123 | + |
| 124 | + Arrays.sort(spaceStations); |
| 125 | + |
| 126 | + // First and last cities are the space station. |
| 127 | + if (spaceStations[0] == 0 && |
| 128 | + spaceStations[1] == noOfCities - 1) |
| 129 | + return (spaceStations[1] - spaceStations[0]) / 2; |
| 130 | + |
| 131 | + if (areSpaceStationsConsecutiveLast( |
| 132 | + spaceStations, |
| 133 | + noOfSpaceStations, |
| 134 | + noOfCities)) |
| 135 | + return spaceStations[0]; |
| 136 | + |
| 137 | + int maxDistance = 0; |
| 138 | + |
| 139 | + // If first city is not a space station |
| 140 | + if (spaceStations[0] != 0) { |
| 141 | + maxDistance = spaceStations[0]; |
| 142 | + } else if ( spaceStations[0] == 0 ) { |
| 143 | + maxDistance = (spaceStations[1]-spaceStations[0])/2; |
| 144 | + } |
| 145 | + |
| 146 | + for (int i = 1; i < noOfSpaceStations-1; i++) { |
| 147 | + int distance = (spaceStations[i+1] - spaceStations[i])/2; |
| 148 | + |
| 149 | + if ( distance > maxDistance ) |
| 150 | + maxDistance = distance; |
| 151 | + } |
| 152 | + |
| 153 | + // If last space station is not the last city |
| 154 | + if ( spaceStations[noOfSpaceStations-1] != noOfCities -1 ) { |
| 155 | + int lastSpaceStationDistance = noOfCities - 1 - |
| 156 | + spaceStations[noOfSpaceStations-1] ; |
| 157 | + |
| 158 | + return maxDistance > lastSpaceStationDistance ? |
| 159 | + maxDistance : lastSpaceStationDistance; |
| 160 | + } |
| 161 | + |
| 162 | + return maxDistance; |
| 163 | + } |
| 164 | + |
| 165 | + /** |
| 166 | + * The space stations are consecutive last, |
| 167 | + * i.e. They are the last ones. |
| 168 | + * Given 5 cities with 2 space stations that |
| 169 | + * are in the end. i.e. Cities 3 and 4 are |
| 170 | + * the space stations. |
| 171 | + * |
| 172 | + * Get the last station |
| 173 | + * Check if the last city is the last station, |
| 174 | + * spaceStations[noOfSpaceStations-1] == noOfCities-1 |
| 175 | + * |
| 176 | + * Get the first station spaceStations[0] |
| 177 | + * |
| 178 | + * How to confirm that space stations are |
| 179 | + * consecutive last? |
| 180 | + * |
| 181 | + */ |
| 182 | + public static boolean areSpaceStationsConsecutiveLast( |
| 183 | + int[] spaceStations, |
| 184 | + int numberOfSpaceStations, |
| 185 | + int numberOfCities) { |
| 186 | + |
| 187 | + int lastSpaceStation = spaceStations[numberOfSpaceStations - 1]; |
| 188 | + |
| 189 | + if ( lastSpaceStation != numberOfCities-1 ) |
| 190 | + return false; |
| 191 | + |
| 192 | + int firstSpaceStation = spaceStations[0]; |
| 193 | + int isLast = (lastSpaceStation - firstSpaceStation) - |
| 194 | + (numberOfSpaceStations - 1); |
| 195 | + |
| 196 | + return ( isLast == 0 ) ? true : false; |
| 197 | + } |
| 198 | +} |
| 199 | + |
| 200 | + |
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