Maximum Consecutive Ones

easy Arrays

Problem

The array has only 0 and 1. Print the length of the longest run of 1s that follow each other.

Constraints

  • 1 <= n <= 10^5
  • a[i] is 0 or 1

Examples

Input

6
1 1 0 1 1 1

Output

3

Solutions

Best approachTime O(n)Space O(1)

A common bug is to count all pairs of neighbouring ones in the whole array. The correct method resets the counter at every 0 and remembers the best run.

Same code works in Java810172125Basic features only, so nothing changes between versions.
/*
 * Problem : Process an array.
 * Input   : n, then n integers.
 * Output  : The longest run of ones.
 * Approach: Reset on a zero.
 * Time    : O(n)
 * Space   : O(1)
 * Java    : 8 or newer.
 */
import java.util.Scanner;

public class Main {
    // This method solves the task. It receives the input and returns the answer.
    static int solve(int[] a) {
        // Step 1: current = the length of the run of ones that ends here. best = the longest run so far.
        int current = 0;
        int best = 0;

        for (int value : a) {
            // Step 2: A 1 extends the run. A 0 ends the run, so we start again at 0.
            if (value == 1) {
                current++;
            } else {
                current = 0;
            }

            // Step 3: Keep the longest run.
            best = Math.max(best, current);
        }
        return best;
    }

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int size = scanner.nextInt();
        int[] a = new int[size];
        for (int i = 0; i < size; i++) {
            a[i] = scanner.nextInt();
        }
        System.out.println(solve(a));
    }
}
Hints (1)
  1. What must happen to the counter at a 0?