programming-examples/java/Data_Structures/RmqSparseTable.java
2019-11-15 12:59:38 +01:00

43 lines
853 B
Java

public class RmqSparseTable {
int[] logTable;
int[][] rmq;
int[] a;
public RmqSparseTable(int[] a) {
this.a = a;
int n = a.length;
logTable = new int[n + 1];
for (int i = 2; i <= n; i++)
logTable[i] = logTable[i >> 1] + 1;
rmq = new int[logTable[n] + 1][n];
for (int i = 0; i < n; ++i)
rmq[0][i] = i;
for (int k = 1; (1 << k) < n; ++k) {
for (int i = 0; i + (1 << k) <= n; i++) {
int x = rmq[k - 1][i];
int y = rmq[k - 1][i + (1 << k - 1)];
rmq[k][i] = a[x] <= a[y] ? x : y;
}
}
}
public int minPos(int i, int j) {
int k = logTable[j - i];
int x = rmq[k][i];
int y = rmq[k][j - (1 << k) + 1];
return a[x] <= a[y] ? x : y;
}
public static void main(String[] args) {
int[] a = { 1, 5, -2, 3 };
RmqSparseTable st = new RmqSparseTable(a);
System.out.println(2 == st.minPos(0, 3));
}
}