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String s1 = "ёйцукенгшщзхъфывапролджэячсмитьбю";
String s2 = "ЁЙЦУКЕНГШЩЗХЪФЫВАПРОЛДЖЭЯЧСМИТЬБЮ";

void setup()
{
  size(100, 100);
  textFont(createFont("Arial", 10));
  smooth();
  fill(0);
  noLoop();
}

void draw()
{
  placeText("equalsIgnoreCase", 16);
  placeText("ref test", 36);

  // equal?
  placeText("equality:", 70);
  boolean equal = (s1.equalsIgnoreCase(s2) && s2.equalsIgnoreCase(s1));
  String result = equal ? "success" : "failed";
  if (equal) {
    fill(0,200,0);
  } else {
    fill(200,0,0);
  }
  noStroke();
  rect(20, 75, 60, 20);
  fill(0);
  placeText(result, 88);
  
  exit();
}

void placeText(String s, int ypos)
{
  float tw = textWidth(s);
  float xpos = (width - tw) / 2;
  text(s, xpos, ypos);
}