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Language: Saruman's Army
Description Saruman the White must lead his army along a straight path from Isengard to Helm’s Deep. To keep track of his forces, Saruman distributes seeing stones, known as palantirs, among the troops. Each palantir has a maximum effective range of Input The input test file will contain multiple cases. Each test case begins with a single line containing an integer x ≤ 1000). The end-of-file is marked by a test case with _{i}R = n = −1.Output For each test case, print a single integer indicating the minimum number of palantirs needed. Sample Input 0 3 10 20 20 10 7 70 30 1 7 15 20 50 -1 -1 Sample Output 2 4 Hint In the first test case, Saruman may place a palantir at positions 10 and 20. Here, note that a single palantir with range 0 can cover both of the troops at position 20. In the second test case, Saruman can place palantirs at position 7 (covering troops at 1, 7, and 15), position 20 (covering positions 20 and 30), position 50, and position 70. Here, note that palantirs must be distributed among troops and are not allowed to “free float.” Thus, Saruman cannot place a palantir at position 60 to cover the troops at positions 50 and 70. Source |

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