import java.util.*;
import java.util.zip.*;
import java.util.List;
import java.util.regex.*;
import java.util.concurrent.*;
import java.util.concurrent.atomic.*;
import java.util.concurrent.locks.*;
import javax.swing.*;
import javax.swing.event.*;
import javax.swing.text.*;
import javax.swing.table.*;
import java.io.*;
import java.net.*;
import java.lang.reflect.*;
import java.lang.ref.*;
import java.lang.management.*;
import java.security.*;
import java.security.spec.*;
import java.awt.*;
import java.awt.event.*;
import java.awt.image.*;
import javax.imageio.*;
import java.math.*;
class main {

static void removeNonStreaksFromBitSetShorterThan(BitSet bs, int min) {
  if (bs == null) return;
  int n = bs.length();
  int i = -1;
  while (true) {
    i = bs.nextClearBit(i+1);
    if (i >= n) break;
    int j = bs.nextSetBit(i+1);
    if (j-i < min)
      bs.set(i, j, true);
    i = j;
  }
}}