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Saruman's Army
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 4420 | Accepted: 2285 |
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 R units, and must be carried by some troop in the army (i.e., palantirs are not allowed to “free float” in mid-air). Help Saruman take control of Middle Earth by determining the minimum number of palantirs needed for Saruman to ensure that each of his minions is within R units of some palantir.
Input
The input test file will contain multiple cases. Each test case begins with a single line containing an integer R, the maximum effective range of all palantirs (where 0 ≤ R ≤ 1000), and an integer n, the number of troops in Saruman’s army (where 1 ≤ n ≤ 1000). The next line contains n integers, indicating the positions x1, …, xn of each troop (where 0 ≤ xi ≤ 1000). The end-of-file is marked by a test case with R = n = −1.
Output
For each test case, print a single integer indicating the minimum number of palantirs needed.
Sample Input
0 310 20 2010 770 30 1 7 15 20 50-1 -1
Sample Output
24
#define _CRT_SECURE_NO_DEPRECATE#include<iostream>#include<stdio.h>#include<stdlib.h>#include<string.h>#include<algorithm>#define MAX 1001using namespace std;int troop[MAX];void solve(){ int r, n, res; while (cin >> r >> n){ if (r == -1 && n == -1)return; res = 0; for (int i = 0; i < n; i++)cin >> troop[i]; sort(troop, troop + n); for (int i = 0, far; i < n;){ far = troop[i]; while (i < n&&troop[i] - far <= r)i++; res++; //cout << "round:" << res << endl; far = troop[i - 1]; while (i < n&&troop[i] - far <= r)i++; } cout << res << endl; }}int main(){ solve(); //system("pause"); return 0;}
Saruman's Army