|
| 1 | +``` |
| 2 | +import java.io.*; |
| 3 | +import java.util.*; |
| 4 | +
|
| 5 | +public class Main { |
| 6 | + private static final BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); |
| 7 | + private static final BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out)); |
| 8 | + private static final long INF = (long)1e18; |
| 9 | + private static long[][] grass; |
| 10 | + private static int N, M; |
| 11 | + public static void main(String[] args) throws IOException { |
| 12 | + init(); |
| 13 | + long answer = binarySearch(); |
| 14 | +
|
| 15 | + bw.write(answer + "\n"); |
| 16 | + bw.flush(); |
| 17 | + bw.close(); |
| 18 | + br.close(); |
| 19 | + } |
| 20 | +
|
| 21 | + private static void init() throws IOException { |
| 22 | + StringTokenizer st = new StringTokenizer(br.readLine()); |
| 23 | + N = Integer.parseInt(st.nextToken()); |
| 24 | + M = Integer.parseInt(st.nextToken()); |
| 25 | +
|
| 26 | + grass = new long[M][2]; |
| 27 | +
|
| 28 | + for (int i = 0; i < M; i++) { |
| 29 | + st = new StringTokenizer(br.readLine()); |
| 30 | + grass[i][0] = Long.parseLong(st.nextToken()); |
| 31 | + grass[i][1] = Long.parseLong(st.nextToken()); |
| 32 | + } |
| 33 | +
|
| 34 | + Arrays.sort(grass, (o1, o2) -> Long.compare(o1[0], o2[0])); |
| 35 | + } |
| 36 | +
|
| 37 | + public static long binarySearch() { |
| 38 | + long left = 0; |
| 39 | + long right = INF; |
| 40 | + long result = -1; |
| 41 | +
|
| 42 | + while (left <= right) { |
| 43 | + long mid = left + (right - left) / 2; |
| 44 | +
|
| 45 | + if (valid(mid)) { |
| 46 | + result = mid; |
| 47 | + left = mid + 1; |
| 48 | + } else { |
| 49 | + right = mid - 1; |
| 50 | + } |
| 51 | + } |
| 52 | +
|
| 53 | + return result; |
| 54 | + } |
| 55 | +
|
| 56 | + private static boolean valid(long target) { |
| 57 | + long count = 0; |
| 58 | + long pos = -INF; |
| 59 | +
|
| 60 | + for (long[] e : grass) { |
| 61 | + long nextPos = pos + target; |
| 62 | +
|
| 63 | + if (nextPos > e[1]) continue; |
| 64 | +
|
| 65 | + nextPos = Math.max(nextPos, e[0]); |
| 66 | +
|
| 67 | + long canPlace = (e[1] - nextPos) / target + 1; |
| 68 | + count += canPlace; |
| 69 | +
|
| 70 | + pos = nextPos + (canPlace - 1) * target; |
| 71 | + } |
| 72 | +
|
| 73 | + return count >= N; |
| 74 | + } |
| 75 | +} |
| 76 | +``` |
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