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<style>
  body { overflow: hidden }
  div {
    width: 10px;
    height: 10px;
    background-color: #d64203;
  }
</style>

<body>
  <div id="a"></div>
  <div id="b"></div>
  <div id="c"></div>
  <div id="d"></div>

  <!--
  Deliberately make the scrollbars appear to ensure that with 'overflow: auto'
  viewport units are calculated as if the scrollbars are _not_ there.
  -->
  <div style="width: 500px; height: 500px; background-color: black">
</body>

<script>
  // client{Width, Height} consist of the area _inside_ the scrollbars, so we need
  // to calculate these units with 'overflow: hidden' set to ensure that there are
  // no scrollbars. This reflects the fact that with 'overflow: auto' set, viewport
  // units are sized without taking the scrollbars into account.
  var vw = 0.01 * document.body.clientWidth;
  var vh = 0.01 * document.body.clientHeight;
  var vmin = Math.min(vw, vh);
  var vmax = Math.max(vw, vh);
  document.body.style.overflow = "auto";
  document.getElementById('a').style.width = (50 * vw) + "px";
  document.getElementById('b').style.height = (25 * vh) + "px";
  document.getElementById('c').style.width = (35 * vmin) + "px";
  document.getElementById('d').style.height = (25 * vmax) + "px";
</script>