백준 10868번 - 최솟값

박진형·2021년 8월 5일
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algorithm

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문제 풀이

이전에 풀었던 백준 2357번 - 최솟값과 최댓값에서 최솟값만 구하는 문제로 구체적인 설명은 이전 포스팅을 확인하면 된다.

문제 링크

boj/10868

소스코드

PS/10868.java

import java.io.*;
import java.lang.reflect.Array;
import java.util.*;


public class Main {

  static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
  static BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
  static int []arr;
  static int []segTree;

  static double baseLog(double x, double base) {
      return Math.log(x) / Math.log(base);
  }

  static int make_seg(int node , int start, int end)
  {
      if(start == end)
          return segTree[node] = arr[start];
      segTree[node] =Math.min(make_seg(node * 2, start , (start + end) / 2) ,
      make_seg(node * 2 + 1, (start+end)/2 + 1 , end));
      return segTree[node];
  }

  static int findMin(int node, int start , int end , int left, int right)
  {
      if(end < left || right < start)
          return 2147483647;
      if(left<= start && end <= right)
          return segTree[node];
      int min = Math.min(findMin(node * 2, start, (start + end) / 2, left, right), findMin(node * 2 + 1, (start + end) / 2 + 1, end, left, right));
      return min;
  }
  public static void main(String[] args) throws IOException {

      StringTokenizer st = new StringTokenizer(br.readLine());

      int n = Integer.parseInt(st.nextToken());
      int m = Integer.parseInt(st.nextToken());
      int treeHeight = (int) Math.ceil(baseLog(n,2));
      int treeSize = (int) Math.pow(2,treeHeight+1);
      arr = new int[n+2];
      for(int i=0;i<n;i++)
      {
          arr[i] = Integer.parseInt(br.readLine());
      }

      segTree = new int[treeSize+2];
      make_seg(1,0,n-1);
      for(int i=0;i<m;i++)
      {
          st = new StringTokenizer(br.readLine());

          int s = Integer.parseInt(st.nextToken());
          int e = Integer.parseInt(st.nextToken());
          bw.write(Integer.toString(findMin(1, 0, n-1 , s-1,e-1))+"\n");
          bw.flush();
      }


  }

}
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