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diff --git a/assets/viz/1/goog/math/long.js b/assets/viz/1/goog/math/long.js
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+// Copyright 2009 The Closure Library Authors. All Rights Reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//      http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS-IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+/**
+ * @fileoverview Defines a Long class for representing a 64-bit two's-complement
+ * integer value, which faithfully simulates the behavior of a Java "long". This
+ * implementation is derived from LongLib in GWT.
+ *
+ */
+
+goog.provide('goog.math.Long');
+
+goog.require('goog.reflect');
+
+
+
+/**
+ * Constructs a 64-bit two's-complement integer, given its low and high 32-bit
+ * values as *signed* integers.  See the from* functions below for more
+ * convenient ways of constructing Longs.
+ *
+ * The internal representation of a long is the two given signed, 32-bit values.
+ * We use 32-bit pieces because these are the size of integers on which
+ * Javascript performs bit-operations.  For operations like addition and
+ * multiplication, we split each number into 16-bit pieces, which can easily be
+ * multiplied within Javascript's floating-point representation without overflow
+ * or change in sign.
+ *
+ * In the algorithms below, we frequently reduce the negative case to the
+ * positive case by negating the input(s) and then post-processing the result.
+ * Note that we must ALWAYS check specially whether those values are MIN_VALUE
+ * (-2^63) because -MIN_VALUE == MIN_VALUE (since 2^63 cannot be represented as
+ * a positive number, it overflows back into a negative).  Not handling this
+ * case would often result in infinite recursion.
+ *
+ * @param {number} low  The low (signed) 32 bits of the long.
+ * @param {number} high  The high (signed) 32 bits of the long.
+ * @struct
+ * @constructor
+ * @final
+ */
+goog.math.Long = function(low, high) {
+  /**
+   * @type {number}
+   * @private
+   */
+  this.low_ = low | 0;  // force into 32 signed bits.
+
+  /**
+   * @type {number}
+   * @private
+   */
+  this.high_ = high | 0;  // force into 32 signed bits.
+};
+
+
+// NOTE: Common constant values ZERO, ONE, NEG_ONE, etc. are defined below the
+// from* methods on which they depend.
+
+
+/**
+ * A cache of the Long representations of small integer values.
+ * @type {!Object<number, !goog.math.Long>}
+ * @private
+ */
+goog.math.Long.IntCache_ = {};
+
+
+/**
+ * A cache of the Long representations of common values.
+ * @type {!Object<goog.math.Long.ValueCacheId_, !goog.math.Long>}
+ * @private
+ */
+goog.math.Long.valueCache_ = {};
+
+
+/**
+ * Returns a Long representing the given (32-bit) integer value.
+ * @param {number} value The 32-bit integer in question.
+ * @return {!goog.math.Long} The corresponding Long value.
+ */
+goog.math.Long.fromInt = function(value) {
+  if (-128 <= value && value < 128) {
+    return goog.reflect.cache(goog.math.Long.IntCache_, value, function(val) {
+      return new goog.math.Long(val | 0, val < 0 ? -1 : 0);
+    });
+  } else {
+    return new goog.math.Long(value | 0, value < 0 ? -1 : 0);
+  }
+};
+
+
+/**
+ * Returns a Long representing the given value.
+ * NaN will be returned as zero. Infinity is converted to max value and
+ * -Infinity to min value.
+ * @param {number} value The number in question.
+ * @return {!goog.math.Long} The corresponding Long value.
+ */
+goog.math.Long.fromNumber = function(value) {
+  if (isNaN(value)) {
+    return goog.math.Long.getZero();
+  } else if (value <= -goog.math.Long.TWO_PWR_63_DBL_) {
+    return goog.math.Long.getMinValue();
+  } else if (value + 1 >= goog.math.Long.TWO_PWR_63_DBL_) {
+    return goog.math.Long.getMaxValue();
+  } else if (value < 0) {
+    return goog.math.Long.fromNumber(-value).negate();
+  } else {
+    return new goog.math.Long(
+        (value % goog.math.Long.TWO_PWR_32_DBL_) | 0,
+        (value / goog.math.Long.TWO_PWR_32_DBL_) | 0);
+  }
+};
+
+
+/**
+ * Returns a Long representing the 64-bit integer that comes by concatenating
+ * the given high and low bits.  Each is assumed to use 32 bits.
+ * @param {number} lowBits The low 32-bits.
+ * @param {number} highBits The high 32-bits.
+ * @return {!goog.math.Long} The corresponding Long value.
+ */
+goog.math.Long.fromBits = function(lowBits, highBits) {
+  return new goog.math.Long(lowBits, highBits);
+};
+
+
+/**
+ * Returns a Long representation of the given string, written using the given
+ * radix.
+ * @param {string} str The textual representation of the Long.
+ * @param {number=} opt_radix The radix in which the text is written.
+ * @return {!goog.math.Long} The corresponding Long value.
+ */
+goog.math.Long.fromString = function(str, opt_radix) {
+  if (str.length == 0) {
+    throw Error('number format error: empty string');
+  }
+
+  var radix = opt_radix || 10;
+  if (radix < 2 || 36 < radix) {
+    throw Error('radix out of range: ' + radix);
+  }
+
+  if (str.charAt(0) == '-') {
+    return goog.math.Long.fromString(str.substring(1), radix).negate();
+  } else if (str.indexOf('-') >= 0) {
+    throw Error('number format error: interior "-" character: ' + str);
+  }
+
+  // Do several (8) digits each time through the loop, so as to
+  // minimize the calls to the very expensive emulated div.
+  var radixToPower = goog.math.Long.fromNumber(Math.pow(radix, 8));
+
+  var result = goog.math.Long.getZero();
+  for (var i = 0; i < str.length; i += 8) {
+    var size = Math.min(8, str.length - i);
+    var value = parseInt(str.substring(i, i + size), radix);
+    if (size < 8) {
+      var power = goog.math.Long.fromNumber(Math.pow(radix, size));
+      result = result.multiply(power).add(goog.math.Long.fromNumber(value));
+    } else {
+      result = result.multiply(radixToPower);
+      result = result.add(goog.math.Long.fromNumber(value));
+    }
+  }
+  return result;
+};
+
+
+// NOTE: the compiler should inline these constant values below and then remove
+// these variables, so there should be no runtime penalty for these.
+
+
+/**
+ * Number used repeated below in calculations.  This must appear before the
+ * first call to any from* function below.
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_16_DBL_ = 1 << 16;
+
+
+/**
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_32_DBL_ =
+    goog.math.Long.TWO_PWR_16_DBL_ * goog.math.Long.TWO_PWR_16_DBL_;
+
+
+/**
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_64_DBL_ =
+    goog.math.Long.TWO_PWR_32_DBL_ * goog.math.Long.TWO_PWR_32_DBL_;
+
+
+/**
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_63_DBL_ = goog.math.Long.TWO_PWR_64_DBL_ / 2;
+
+
+/**
+ * @return {!goog.math.Long}
+ * @public
+ */
+goog.math.Long.getZero = function() {
+  return goog.reflect.cache(
+      goog.math.Long.valueCache_, goog.math.Long.ValueCacheId_.ZERO,
+      function() { return goog.math.Long.fromInt(0); });
+};
+
+
+/**
+ * @return {!goog.math.Long}
+ * @public
+ */
+goog.math.Long.getOne = function() {
+  return goog.reflect.cache(
+      goog.math.Long.valueCache_, goog.math.Long.ValueCacheId_.ONE,
+      function() { return goog.math.Long.fromInt(1); });
+};
+
+
+/**
+ * @return {!goog.math.Long}
+ * @public
+ */
+goog.math.Long.getNegOne = function() {
+  return goog.reflect.cache(
+      goog.math.Long.valueCache_, goog.math.Long.ValueCacheId_.NEG_ONE,
+      function() { return goog.math.Long.fromInt(-1); });
+};
+
+
+/**
+ * @return {!goog.math.Long}
+ * @public
+ */
+goog.math.Long.getMaxValue = function() {
+  return goog.reflect.cache(
+      goog.math.Long.valueCache_, goog.math.Long.ValueCacheId_.MAX_VALUE,
+      function() {
+        return goog.math.Long.fromBits(0xFFFFFFFF | 0, 0x7FFFFFFF | 0);
+      });
+};
+
+
+/**
+ * @return {!goog.math.Long}
+ * @public
+ */
+goog.math.Long.getMinValue = function() {
+  return goog.reflect.cache(
+      goog.math.Long.valueCache_, goog.math.Long.ValueCacheId_.MIN_VALUE,
+      function() { return goog.math.Long.fromBits(0, 0x80000000 | 0); });
+};
+
+
+/**
+ * @return {!goog.math.Long}
+ * @public
+ */
+goog.math.Long.getTwoPwr24 = function() {
+  return goog.reflect.cache(
+      goog.math.Long.valueCache_, goog.math.Long.ValueCacheId_.TWO_PWR_24,
+      function() { return goog.math.Long.fromInt(1 << 24); });
+};
+
+
+/** @return {number} The value, assuming it is a 32-bit integer. */
+goog.math.Long.prototype.toInt = function() {
+  return this.low_;
+};
+
+
+/** @return {number} The closest floating-point representation to this value. */
+goog.math.Long.prototype.toNumber = function() {
+  return this.high_ * goog.math.Long.TWO_PWR_32_DBL_ +
+      this.getLowBitsUnsigned();
+};
+
+
+/**
+ * @param {number=} opt_radix The radix in which the text should be written.
+ * @return {string} The textual representation of this value.
+ * @override
+ */
+goog.math.Long.prototype.toString = function(opt_radix) {
+  var radix = opt_radix || 10;
+  if (radix < 2 || 36 < radix) {
+    throw Error('radix out of range: ' + radix);
+  }
+
+  if (this.isZero()) {
+    return '0';
+  }
+
+  if (this.isNegative()) {
+    if (this.equals(goog.math.Long.getMinValue())) {
+      // We need to change the Long value before it can be negated, so we remove
+      // the bottom-most digit in this base and then recurse to do the rest.
+      var radixLong = goog.math.Long.fromNumber(radix);
+      var div = this.div(radixLong);
+      var rem = div.multiply(radixLong).subtract(this);
+      return div.toString(radix) + rem.toInt().toString(radix);
+    } else {
+      return '-' + this.negate().toString(radix);
+    }
+  }
+
+  // Do several (6) digits each time through the loop, so as to
+  // minimize the calls to the very expensive emulated div.
+  var radixToPower = goog.math.Long.fromNumber(Math.pow(radix, 6));
+
+  var rem = this;
+  var result = '';
+  while (true) {
+    var remDiv = rem.div(radixToPower);
+    // The right shifting fixes negative values in the case when
+    // intval >= 2^31; for more details see
+    // https://github.com/google/closure-library/pull/498
+    var intval = rem.subtract(remDiv.multiply(radixToPower)).toInt() >>> 0;
+    var digits = intval.toString(radix);
+
+    rem = remDiv;
+    if (rem.isZero()) {
+      return digits + result;
+    } else {
+      while (digits.length < 6) {
+        digits = '0' + digits;
+      }
+      result = '' + digits + result;
+    }
+  }
+};
+
+
+/** @return {number} The high 32-bits as a signed value. */
+goog.math.Long.prototype.getHighBits = function() {
+  return this.high_;
+};
+
+
+/** @return {number} The low 32-bits as a signed value. */
+goog.math.Long.prototype.getLowBits = function() {
+  return this.low_;
+};
+
+
+/** @return {number} The low 32-bits as an unsigned value. */
+goog.math.Long.prototype.getLowBitsUnsigned = function() {
+  return (this.low_ >= 0) ? this.low_ :
+                            goog.math.Long.TWO_PWR_32_DBL_ + this.low_;
+};
+
+
+/**
+ * @return {number} Returns the number of bits needed to represent the absolute
+ *     value of this Long.
+ */
+goog.math.Long.prototype.getNumBitsAbs = function() {
+  if (this.isNegative()) {
+    if (this.equals(goog.math.Long.getMinValue())) {
+      return 64;
+    } else {
+      return this.negate().getNumBitsAbs();
+    }
+  } else {
+    var val = this.high_ != 0 ? this.high_ : this.low_;
+    for (var bit = 31; bit > 0; bit--) {
+      if ((val & (1 << bit)) != 0) {
+        break;
+      }
+    }
+    return this.high_ != 0 ? bit + 33 : bit + 1;
+  }
+};
+
+
+/** @return {boolean} Whether this value is zero. */
+goog.math.Long.prototype.isZero = function() {
+  return this.high_ == 0 && this.low_ == 0;
+};
+
+
+/** @return {boolean} Whether this value is negative. */
+goog.math.Long.prototype.isNegative = function() {
+  return this.high_ < 0;
+};
+
+
+/** @return {boolean} Whether this value is odd. */
+goog.math.Long.prototype.isOdd = function() {
+  return (this.low_ & 1) == 1;
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long equals the other.
+ */
+goog.math.Long.prototype.equals = function(other) {
+  return (this.high_ == other.high_) && (this.low_ == other.low_);
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long does not equal the other.
+ */
+goog.math.Long.prototype.notEquals = function(other) {
+  return (this.high_ != other.high_) || (this.low_ != other.low_);
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long is less than the other.
+ */
+goog.math.Long.prototype.lessThan = function(other) {
+  return this.compare(other) < 0;
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long is less than or equal to the other.
+ */
+goog.math.Long.prototype.lessThanOrEqual = function(other) {
+  return this.compare(other) <= 0;
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long is greater than the other.
+ */
+goog.math.Long.prototype.greaterThan = function(other) {
+  return this.compare(other) > 0;
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long is greater than or equal to the other.
+ */
+goog.math.Long.prototype.greaterThanOrEqual = function(other) {
+  return this.compare(other) >= 0;
+};
+
+
+/**
+ * Compares this Long with the given one.
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {number} 0 if they are the same, 1 if the this is greater, and -1
+ *     if the given one is greater.
+ */
+goog.math.Long.prototype.compare = function(other) {
+  if (this.equals(other)) {
+    return 0;
+  }
+
+  var thisNeg = this.isNegative();
+  var otherNeg = other.isNegative();
+  if (thisNeg && !otherNeg) {
+    return -1;
+  }
+  if (!thisNeg && otherNeg) {
+    return 1;
+  }
+
+  // at this point, the signs are the same, so subtraction will not overflow
+  if (this.subtract(other).isNegative()) {
+    return -1;
+  } else {
+    return 1;
+  }
+};
+
+
+/** @return {!goog.math.Long} The negation of this value. */
+goog.math.Long.prototype.negate = function() {
+  if (this.equals(goog.math.Long.getMinValue())) {
+    return goog.math.Long.getMinValue();
+  } else {
+    return this.not().add(goog.math.Long.getOne());
+  }
+};
+
+
+/**
+ * Returns the sum of this and the given Long.
+ * @param {goog.math.Long} other Long to add to this one.
+ * @return {!goog.math.Long} The sum of this and the given Long.
+ */
+goog.math.Long.prototype.add = function(other) {
+  // Divide each number into 4 chunks of 16 bits, and then sum the chunks.
+
+  var a48 = this.high_ >>> 16;
+  var a32 = this.high_ & 0xFFFF;
+  var a16 = this.low_ >>> 16;
+  var a00 = this.low_ & 0xFFFF;
+
+  var b48 = other.high_ >>> 16;
+  var b32 = other.high_ & 0xFFFF;
+  var b16 = other.low_ >>> 16;
+  var b00 = other.low_ & 0xFFFF;
+
+  var c48 = 0, c32 = 0, c16 = 0, c00 = 0;
+  c00 += a00 + b00;
+  c16 += c00 >>> 16;
+  c00 &= 0xFFFF;
+  c16 += a16 + b16;
+  c32 += c16 >>> 16;
+  c16 &= 0xFFFF;
+  c32 += a32 + b32;
+  c48 += c32 >>> 16;
+  c32 &= 0xFFFF;
+  c48 += a48 + b48;
+  c48 &= 0xFFFF;
+  return goog.math.Long.fromBits((c16 << 16) | c00, (c48 << 16) | c32);
+};
+
+
+/**
+ * Returns the difference of this and the given Long.
+ * @param {goog.math.Long} other Long to subtract from this.
+ * @return {!goog.math.Long} The difference of this and the given Long.
+ */
+goog.math.Long.prototype.subtract = function(other) {
+  return this.add(other.negate());
+};
+
+
+/**
+ * Returns the product of this and the given long.
+ * @param {goog.math.Long} other Long to multiply with this.
+ * @return {!goog.math.Long} The product of this and the other.
+ */
+goog.math.Long.prototype.multiply = function(other) {
+  if (this.isZero()) {
+    return goog.math.Long.getZero();
+  } else if (other.isZero()) {
+    return goog.math.Long.getZero();
+  }
+
+  if (this.equals(goog.math.Long.getMinValue())) {
+    return other.isOdd() ? goog.math.Long.getMinValue() :
+                           goog.math.Long.getZero();
+  } else if (other.equals(goog.math.Long.getMinValue())) {
+    return this.isOdd() ? goog.math.Long.getMinValue() :
+                          goog.math.Long.getZero();
+  }
+
+  if (this.isNegative()) {
+    if (other.isNegative()) {
+      return this.negate().multiply(other.negate());
+    } else {
+      return this.negate().multiply(other).negate();
+    }
+  } else if (other.isNegative()) {
+    return this.multiply(other.negate()).negate();
+  }
+
+  // If both longs are small, use float multiplication
+  if (this.lessThan(goog.math.Long.getTwoPwr24()) &&
+      other.lessThan(goog.math.Long.getTwoPwr24())) {
+    return goog.math.Long.fromNumber(this.toNumber() * other.toNumber());
+  }
+
+  // Divide each long into 4 chunks of 16 bits, and then add up 4x4 products.
+  // We can skip products that would overflow.
+
+  var a48 = this.high_ >>> 16;
+  var a32 = this.high_ & 0xFFFF;
+  var a16 = this.low_ >>> 16;
+  var a00 = this.low_ & 0xFFFF;
+
+  var b48 = other.high_ >>> 16;
+  var b32 = other.high_ & 0xFFFF;
+  var b16 = other.low_ >>> 16;
+  var b00 = other.low_ & 0xFFFF;
+
+  var c48 = 0, c32 = 0, c16 = 0, c00 = 0;
+  c00 += a00 * b00;
+  c16 += c00 >>> 16;
+  c00 &= 0xFFFF;
+  c16 += a16 * b00;
+  c32 += c16 >>> 16;
+  c16 &= 0xFFFF;
+  c16 += a00 * b16;
+  c32 += c16 >>> 16;
+  c16 &= 0xFFFF;
+  c32 += a32 * b00;
+  c48 += c32 >>> 16;
+  c32 &= 0xFFFF;
+  c32 += a16 * b16;
+  c48 += c32 >>> 16;
+  c32 &= 0xFFFF;
+  c32 += a00 * b32;
+  c48 += c32 >>> 16;
+  c32 &= 0xFFFF;
+  c48 += a48 * b00 + a32 * b16 + a16 * b32 + a00 * b48;
+  c48 &= 0xFFFF;
+  return goog.math.Long.fromBits((c16 << 16) | c00, (c48 << 16) | c32);
+};
+
+
+/**
+ * Returns this Long divided by the given one.
+ * @param {goog.math.Long} other Long by which to divide.
+ * @return {!goog.math.Long} This Long divided by the given one.
+ */
+goog.math.Long.prototype.div = function(other) {
+  if (other.isZero()) {
+    throw Error('division by zero');
+  } else if (this.isZero()) {
+    return goog.math.Long.getZero();
+  }
+
+  if (this.equals(goog.math.Long.getMinValue())) {
+    if (other.equals(goog.math.Long.getOne()) ||
+        other.equals(goog.math.Long.getNegOne())) {
+      return goog.math.Long.getMinValue();  // recall -MIN_VALUE == MIN_VALUE
+    } else if (other.equals(goog.math.Long.getMinValue())) {
+      return goog.math.Long.getOne();
+    } else {
+      // At this point, we have |other| >= 2, so |this/other| < |MIN_VALUE|.
+      var halfThis = this.shiftRight(1);
+      var approx = halfThis.div(other).shiftLeft(1);
+      if (approx.equals(goog.math.Long.getZero())) {
+        return other.isNegative() ? goog.math.Long.getOne() :
+                                    goog.math.Long.getNegOne();
+      } else {
+        var rem = this.subtract(other.multiply(approx));
+        var result = approx.add(rem.div(other));
+        return result;
+      }
+    }
+  } else if (other.equals(goog.math.Long.getMinValue())) {
+    return goog.math.Long.getZero();
+  }
+
+  if (this.isNegative()) {
+    if (other.isNegative()) {
+      return this.negate().div(other.negate());
+    } else {
+      return this.negate().div(other).negate();
+    }
+  } else if (other.isNegative()) {
+    return this.div(other.negate()).negate();
+  }
+
+  // Repeat the following until the remainder is less than other:  find a
+  // floating-point that approximates remainder / other *from below*, add this
+  // into the result, and subtract it from the remainder.  It is critical that
+  // the approximate value is less than or equal to the real value so that the
+  // remainder never becomes negative.
+  var res = goog.math.Long.getZero();
+  var rem = this;
+  while (rem.greaterThanOrEqual(other)) {
+    // Approximate the result of division. This may be a little greater or
+    // smaller than the actual value.
+    var approx = Math.max(1, Math.floor(rem.toNumber() / other.toNumber()));
+
+    // We will tweak the approximate result by changing it in the 48-th digit or
+    // the smallest non-fractional digit, whichever is larger.
+    var log2 = Math.ceil(Math.log(approx) / Math.LN2);
+    var delta = (log2 <= 48) ? 1 : Math.pow(2, log2 - 48);
+
+    // Decrease the approximation until it is smaller than the remainder.  Note
+    // that if it is too large, the product overflows and is negative.
+    var approxRes = goog.math.Long.fromNumber(approx);
+    var approxRem = approxRes.multiply(other);
+    while (approxRem.isNegative() || approxRem.greaterThan(rem)) {
+      approx -= delta;
+      approxRes = goog.math.Long.fromNumber(approx);
+      approxRem = approxRes.multiply(other);
+    }
+
+    // We know the answer can't be zero... and actually, zero would cause
+    // infinite recursion since we would make no progress.
+    if (approxRes.isZero()) {
+      approxRes = goog.math.Long.getOne();
+    }
+
+    res = res.add(approxRes);
+    rem = rem.subtract(approxRem);
+  }
+  return res;
+};
+
+
+/**
+ * Returns this Long modulo the given one.
+ * @param {goog.math.Long} other Long by which to mod.
+ * @return {!goog.math.Long} This Long modulo the given one.
+ */
+goog.math.Long.prototype.modulo = function(other) {
+  return this.subtract(this.div(other).multiply(other));
+};
+
+
+/** @return {!goog.math.Long} The bitwise-NOT of this value. */
+goog.math.Long.prototype.not = function() {
+  return goog.math.Long.fromBits(~this.low_, ~this.high_);
+};
+
+
+/**
+ * Returns the bitwise-AND of this Long and the given one.
+ * @param {goog.math.Long} other The Long with which to AND.
+ * @return {!goog.math.Long} The bitwise-AND of this and the other.
+ */
+goog.math.Long.prototype.and = function(other) {
+  return goog.math.Long.fromBits(
+      this.low_ & other.low_, this.high_ & other.high_);
+};
+
+
+/**
+ * Returns the bitwise-OR of this Long and the given one.
+ * @param {goog.math.Long} other The Long with which to OR.
+ * @return {!goog.math.Long} The bitwise-OR of this and the other.
+ */
+goog.math.Long.prototype.or = function(other) {
+  return goog.math.Long.fromBits(
+      this.low_ | other.low_, this.high_ | other.high_);
+};
+
+
+/**
+ * Returns the bitwise-XOR of this Long and the given one.
+ * @param {goog.math.Long} other The Long with which to XOR.
+ * @return {!goog.math.Long} The bitwise-XOR of this and the other.
+ */
+goog.math.Long.prototype.xor = function(other) {
+  return goog.math.Long.fromBits(
+      this.low_ ^ other.low_, this.high_ ^ other.high_);
+};
+
+
+/**
+ * Returns this Long with bits shifted to the left by the given amount.
+ * @param {number} numBits The number of bits by which to shift.
+ * @return {!goog.math.Long} This shifted to the left by the given amount.
+ */
+goog.math.Long.prototype.shiftLeft = function(numBits) {
+  numBits &= 63;
+  if (numBits == 0) {
+    return this;
+  } else {
+    var low = this.low_;
+    if (numBits < 32) {
+      var high = this.high_;
+      return goog.math.Long.fromBits(
+          low << numBits, (high << numBits) | (low >>> (32 - numBits)));
+    } else {
+      return goog.math.Long.fromBits(0, low << (numBits - 32));
+    }
+  }
+};
+
+
+/**
+ * Returns this Long with bits shifted to the right by the given amount.
+ * The new leading bits match the current sign bit.
+ * @param {number} numBits The number of bits by which to shift.
+ * @return {!goog.math.Long} This shifted to the right by the given amount.
+ */
+goog.math.Long.prototype.shiftRight = function(numBits) {
+  numBits &= 63;
+  if (numBits == 0) {
+    return this;
+  } else {
+    var high = this.high_;
+    if (numBits < 32) {
+      var low = this.low_;
+      return goog.math.Long.fromBits(
+          (low >>> numBits) | (high << (32 - numBits)), high >> numBits);
+    } else {
+      return goog.math.Long.fromBits(
+          high >> (numBits - 32), high >= 0 ? 0 : -1);
+    }
+  }
+};
+
+
+/**
+ * Returns this Long with bits shifted to the right by the given amount, with
+ * zeros placed into the new leading bits.
+ * @param {number} numBits The number of bits by which to shift.
+ * @return {!goog.math.Long} This shifted to the right by the given amount, with
+ *     zeros placed into the new leading bits.
+ */
+goog.math.Long.prototype.shiftRightUnsigned = function(numBits) {
+  numBits &= 63;
+  if (numBits == 0) {
+    return this;
+  } else {
+    var high = this.high_;
+    if (numBits < 32) {
+      var low = this.low_;
+      return goog.math.Long.fromBits(
+          (low >>> numBits) | (high << (32 - numBits)), high >>> numBits);
+    } else if (numBits == 32) {
+      return goog.math.Long.fromBits(high, 0);
+    } else {
+      return goog.math.Long.fromBits(high >>> (numBits - 32), 0);
+    }
+  }
+};
+
+
+/**
+ * @enum {number} Ids of commonly requested Long instances.
+ * @private
+ */
+goog.math.Long.ValueCacheId_ = {
+  MAX_VALUE: 1,
+  MIN_VALUE: 2,
+  ZERO: 3,
+  ONE: 4,
+  NEG_ONE: 5,
+  TWO_PWR_24: 6
+};