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+```java
+import java.io.*;
+import java.util.Stack;
+import java.util.StringTokenizer;
+
+public class BJ_24241_Elder_price_robot {
+
+	private static final BufferedReader  br = new BufferedReader(new InputStreamReader(System.in));
+	private static final BufferedWriter  bw = new BufferedWriter(new OutputStreamWriter(System.out));
+	private static final StringBuilder   sb = new StringBuilder();
+	private static       StringTokenizer st;
+
+	private static int   N;
+	private static int[] nums, ans;
+	private static Stack<Integer> s;
+
+	public static void main(String[] args) throws IOException {
+		init();
+		sol();
+	}
+
+	private static void init() throws IOException {
+		N = Integer.parseInt(br.readLine());
+
+		nums = new int[N];
+		ans = new int[N];
+		st = new StringTokenizer(br.readLine());
+		for (int i = 0; i < N; i++) {
+			nums[i] = Integer.parseInt(st.nextToken());
+		}
+		s = new Stack<>();
+	}
+
+	private static void sol() throws IOException {
+		for (int i = N - 1; i >= 0; i--) {
+			while (!s.isEmpty() && nums[s.peek()] > nums[i]) {
+				s.pop();
+			}
+
+			if (s.isEmpty()) {
+				ans[i] = -1; // Inf
+			} else {
+				ans[i] = s.peek() - i;
+			}
+			s.push(i);
+		}
+
+		for (int i = 0; i < N; i++) {
+			sb.append(ans[i] != -1 ? ans[i] + "\n" : "infinity\n");
+		}
+		bw.write(sb.toString());
+		bw.flush();
+		bw.close();
+		br.close();
+	}
+
+}
+```
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