diff --git a/static/tornado.umd.js b/static/tornado.umd.js
index 76b3f2d..30e3b9f 100644
--- a/static/tornado.umd.js
+++ b/static/tornado.umd.js
@@ -11112,1455 +11112,1455 @@ function unstringifyBigInts(o) {
 /***/ ((module, exports, __webpack_require__) => {
 
 /* module decorator */ module = __webpack_require__.nmd(module);
-var __WEBPACK_AMD_DEFINE_ARRAY__, __WEBPACK_AMD_DEFINE_RESULT__;var bigInt = (function (undefined) {
-    "use strict";
-
-    var BASE = 1e7,
-        LOG_BASE = 7,
-        MAX_INT = 9007199254740992,
-        MAX_INT_ARR = smallToArray(MAX_INT),
-        DEFAULT_ALPHABET = "0123456789abcdefghijklmnopqrstuvwxyz";
-
-    var supportsNativeBigInt = typeof BigInt === "function";
-
-    function Integer(v, radix, alphabet, caseSensitive) {
-        if (typeof v === "undefined") return Integer[0];
-        if (typeof radix !== "undefined") return +radix === 10 && !alphabet ? parseValue(v) : parseBase(v, radix, alphabet, caseSensitive);
-        return parseValue(v);
-    }
-
-    function BigInteger(value, sign) {
-        this.value = value;
-        this.sign = sign;
-        this.isSmall = false;
-    }
-    BigInteger.prototype = Object.create(Integer.prototype);
-
-    function SmallInteger(value) {
-        this.value = value;
-        this.sign = value < 0;
-        this.isSmall = true;
-    }
-    SmallInteger.prototype = Object.create(Integer.prototype);
-
-    function NativeBigInt(value) {
-        this.value = value;
-    }
-    NativeBigInt.prototype = Object.create(Integer.prototype);
-
-    function isPrecise(n) {
-        return -MAX_INT < n && n < MAX_INT;
-    }
-
-    function smallToArray(n) { // For performance reasons doesn't reference BASE, need to change this function if BASE changes
-        if (n < 1e7)
-            return [n];
-        if (n < 1e14)
-            return [n % 1e7, Math.floor(n / 1e7)];
-        return [n % 1e7, Math.floor(n / 1e7) % 1e7, Math.floor(n / 1e14)];
-    }
-
-    function arrayToSmall(arr) { // If BASE changes this function may need to change
-        trim(arr);
-        var length = arr.length;
-        if (length < 4 && compareAbs(arr, MAX_INT_ARR) < 0) {
-            switch (length) {
-                case 0: return 0;
-                case 1: return arr[0];
-                case 2: return arr[0] + arr[1] * BASE;
-                default: return arr[0] + (arr[1] + arr[2] * BASE) * BASE;
-            }
-        }
-        return arr;
-    }
-
-    function trim(v) {
-        var i = v.length;
-        while (v[--i] === 0);
-        v.length = i + 1;
-    }
-
-    function createArray(length) { // function shamelessly stolen from Yaffle's library https://github.com/Yaffle/BigInteger
-        var x = new Array(length);
-        var i = -1;
-        while (++i < length) {
-            x[i] = 0;
-        }
-        return x;
-    }
-
-    function truncate(n) {
-        if (n > 0) return Math.floor(n);
-        return Math.ceil(n);
-    }
-
-    function add(a, b) { // assumes a and b are arrays with a.length >= b.length
-        var l_a = a.length,
-            l_b = b.length,
-            r = new Array(l_a),
-            carry = 0,
-            base = BASE,
-            sum, i;
-        for (i = 0; i < l_b; i++) {
-            sum = a[i] + b[i] + carry;
-            carry = sum >= base ? 1 : 0;
-            r[i] = sum - carry * base;
-        }
-        while (i < l_a) {
-            sum = a[i] + carry;
-            carry = sum === base ? 1 : 0;
-            r[i++] = sum - carry * base;
-        }
-        if (carry > 0) r.push(carry);
-        return r;
-    }
-
-    function addAny(a, b) {
-        if (a.length >= b.length) return add(a, b);
-        return add(b, a);
-    }
-
-    function addSmall(a, carry) { // assumes a is array, carry is number with 0 <= carry < MAX_INT
-        var l = a.length,
-            r = new Array(l),
-            base = BASE,
-            sum, i;
-        for (i = 0; i < l; i++) {
-            sum = a[i] - base + carry;
-            carry = Math.floor(sum / base);
-            r[i] = sum - carry * base;
-            carry += 1;
-        }
-        while (carry > 0) {
-            r[i++] = carry % base;
-            carry = Math.floor(carry / base);
-        }
-        return r;
-    }
-
-    BigInteger.prototype.add = function (v) {
-        var n = parseValue(v);
-        if (this.sign !== n.sign) {
-            return this.subtract(n.negate());
-        }
-        var a = this.value, b = n.value;
-        if (n.isSmall) {
-            return new BigInteger(addSmall(a, Math.abs(b)), this.sign);
-        }
-        return new BigInteger(addAny(a, b), this.sign);
-    };
-    BigInteger.prototype.plus = BigInteger.prototype.add;
-
-    SmallInteger.prototype.add = function (v) {
-        var n = parseValue(v);
-        var a = this.value;
-        if (a < 0 !== n.sign) {
-            return this.subtract(n.negate());
-        }
-        var b = n.value;
-        if (n.isSmall) {
-            if (isPrecise(a + b)) return new SmallInteger(a + b);
-            b = smallToArray(Math.abs(b));
-        }
-        return new BigInteger(addSmall(b, Math.abs(a)), a < 0);
-    };
-    SmallInteger.prototype.plus = SmallInteger.prototype.add;
-
-    NativeBigInt.prototype.add = function (v) {
-        return new NativeBigInt(this.value + parseValue(v).value);
-    }
-    NativeBigInt.prototype.plus = NativeBigInt.prototype.add;
-
-    function subtract(a, b) { // assumes a and b are arrays with a >= b
-        var a_l = a.length,
-            b_l = b.length,
-            r = new Array(a_l),
-            borrow = 0,
-            base = BASE,
-            i, difference;
-        for (i = 0; i < b_l; i++) {
-            difference = a[i] - borrow - b[i];
-            if (difference < 0) {
-                difference += base;
-                borrow = 1;
-            } else borrow = 0;
-            r[i] = difference;
-        }
-        for (i = b_l; i < a_l; i++) {
-            difference = a[i] - borrow;
-            if (difference < 0) difference += base;
-            else {
-                r[i++] = difference;
-                break;
-            }
-            r[i] = difference;
-        }
-        for (; i < a_l; i++) {
-            r[i] = a[i];
-        }
-        trim(r);
-        return r;
-    }
-
-    function subtractAny(a, b, sign) {
-        var value;
-        if (compareAbs(a, b) >= 0) {
-            value = subtract(a, b);
-        } else {
-            value = subtract(b, a);
-            sign = !sign;
-        }
-        value = arrayToSmall(value);
-        if (typeof value === "number") {
-            if (sign) value = -value;
-            return new SmallInteger(value);
-        }
-        return new BigInteger(value, sign);
-    }
-
-    function subtractSmall(a, b, sign) { // assumes a is array, b is number with 0 <= b < MAX_INT
-        var l = a.length,
-            r = new Array(l),
-            carry = -b,
-            base = BASE,
-            i, difference;
-        for (i = 0; i < l; i++) {
-            difference = a[i] + carry;
-            carry = Math.floor(difference / base);
-            difference %= base;
-            r[i] = difference < 0 ? difference + base : difference;
-        }
-        r = arrayToSmall(r);
-        if (typeof r === "number") {
-            if (sign) r = -r;
-            return new SmallInteger(r);
-        } return new BigInteger(r, sign);
-    }
-
-    BigInteger.prototype.subtract = function (v) {
-        var n = parseValue(v);
-        if (this.sign !== n.sign) {
-            return this.add(n.negate());
-        }
-        var a = this.value, b = n.value;
-        if (n.isSmall)
-            return subtractSmall(a, Math.abs(b), this.sign);
-        return subtractAny(a, b, this.sign);
-    };
-    BigInteger.prototype.minus = BigInteger.prototype.subtract;
-
-    SmallInteger.prototype.subtract = function (v) {
-        var n = parseValue(v);
-        var a = this.value;
-        if (a < 0 !== n.sign) {
-            return this.add(n.negate());
-        }
-        var b = n.value;
-        if (n.isSmall) {
-            return new SmallInteger(a - b);
-        }
-        return subtractSmall(b, Math.abs(a), a >= 0);
-    };
-    SmallInteger.prototype.minus = SmallInteger.prototype.subtract;
-
-    NativeBigInt.prototype.subtract = function (v) {
-        return new NativeBigInt(this.value - parseValue(v).value);
-    }
-    NativeBigInt.prototype.minus = NativeBigInt.prototype.subtract;
-
-    BigInteger.prototype.negate = function () {
-        return new BigInteger(this.value, !this.sign);
-    };
-    SmallInteger.prototype.negate = function () {
-        var sign = this.sign;
-        var small = new SmallInteger(-this.value);
-        small.sign = !sign;
-        return small;
-    };
-    NativeBigInt.prototype.negate = function () {
-        return new NativeBigInt(-this.value);
-    }
-
-    BigInteger.prototype.abs = function () {
-        return new BigInteger(this.value, false);
-    };
-    SmallInteger.prototype.abs = function () {
-        return new SmallInteger(Math.abs(this.value));
-    };
-    NativeBigInt.prototype.abs = function () {
-        return new NativeBigInt(this.value >= 0 ? this.value : -this.value);
-    }
-
-
-    function multiplyLong(a, b) {
-        var a_l = a.length,
-            b_l = b.length,
-            l = a_l + b_l,
-            r = createArray(l),
-            base = BASE,
-            product, carry, i, a_i, b_j;
-        for (i = 0; i < a_l; ++i) {
-            a_i = a[i];
-            for (var j = 0; j < b_l; ++j) {
-                b_j = b[j];
-                product = a_i * b_j + r[i + j];
-                carry = Math.floor(product / base);
-                r[i + j] = product - carry * base;
-                r[i + j + 1] += carry;
-            }
-        }
-        trim(r);
-        return r;
-    }
-
-    function multiplySmall(a, b) { // assumes a is array, b is number with |b| < BASE
-        var l = a.length,
-            r = new Array(l),
-            base = BASE,
-            carry = 0,
-            product, i;
-        for (i = 0; i < l; i++) {
-            product = a[i] * b + carry;
-            carry = Math.floor(product / base);
-            r[i] = product - carry * base;
-        }
-        while (carry > 0) {
-            r[i++] = carry % base;
-            carry = Math.floor(carry / base);
-        }
-        return r;
-    }
-
-    function shiftLeft(x, n) {
-        var r = [];
-        while (n-- > 0) r.push(0);
-        return r.concat(x);
-    }
-
-    function multiplyKaratsuba(x, y) {
-        var n = Math.max(x.length, y.length);
-
-        if (n <= 30) return multiplyLong(x, y);
-        n = Math.ceil(n / 2);
-
-        var b = x.slice(n),
-            a = x.slice(0, n),
-            d = y.slice(n),
-            c = y.slice(0, n);
-
-        var ac = multiplyKaratsuba(a, c),
-            bd = multiplyKaratsuba(b, d),
-            abcd = multiplyKaratsuba(addAny(a, b), addAny(c, d));
-
-        var product = addAny(addAny(ac, shiftLeft(subtract(subtract(abcd, ac), bd), n)), shiftLeft(bd, 2 * n));
-        trim(product);
-        return product;
-    }
-
-    // The following function is derived from a surface fit of a graph plotting the performance difference
-    // between long multiplication and karatsuba multiplication versus the lengths of the two arrays.
-    function useKaratsuba(l1, l2) {
-        return -0.012 * l1 - 0.012 * l2 + 0.000015 * l1 * l2 > 0;
-    }
-
-    BigInteger.prototype.multiply = function (v) {
-        var n = parseValue(v),
-            a = this.value, b = n.value,
-            sign = this.sign !== n.sign,
-            abs;
-        if (n.isSmall) {
-            if (b === 0) return Integer[0];
-            if (b === 1) return this;
-            if (b === -1) return this.negate();
-            abs = Math.abs(b);
-            if (abs < BASE) {
-                return new BigInteger(multiplySmall(a, abs), sign);
-            }
-            b = smallToArray(abs);
-        }
-        if (useKaratsuba(a.length, b.length)) // Karatsuba is only faster for certain array sizes
-            return new BigInteger(multiplyKaratsuba(a, b), sign);
-        return new BigInteger(multiplyLong(a, b), sign);
-    };
-
-    BigInteger.prototype.times = BigInteger.prototype.multiply;
-
-    function multiplySmallAndArray(a, b, sign) { // a >= 0
-        if (a < BASE) {
-            return new BigInteger(multiplySmall(b, a), sign);
-        }
-        return new BigInteger(multiplyLong(b, smallToArray(a)), sign);
-    }
-    SmallInteger.prototype._multiplyBySmall = function (a) {
-        if (isPrecise(a.value * this.value)) {
-            return new SmallInteger(a.value * this.value);
-        }
-        return multiplySmallAndArray(Math.abs(a.value), smallToArray(Math.abs(this.value)), this.sign !== a.sign);
-    };
-    BigInteger.prototype._multiplyBySmall = function (a) {
-        if (a.value === 0) return Integer[0];
-        if (a.value === 1) return this;
-        if (a.value === -1) return this.negate();
-        return multiplySmallAndArray(Math.abs(a.value), this.value, this.sign !== a.sign);
-    };
-    SmallInteger.prototype.multiply = function (v) {
-        return parseValue(v)._multiplyBySmall(this);
-    };
-    SmallInteger.prototype.times = SmallInteger.prototype.multiply;
-
-    NativeBigInt.prototype.multiply = function (v) {
-        return new NativeBigInt(this.value * parseValue(v).value);
-    }
-    NativeBigInt.prototype.times = NativeBigInt.prototype.multiply;
-
-    function square(a) {
-        //console.assert(2 * BASE * BASE < MAX_INT);
-        var l = a.length,
-            r = createArray(l + l),
-            base = BASE,
-            product, carry, i, a_i, a_j;
-        for (i = 0; i < l; i++) {
-            a_i = a[i];
-            carry = 0 - a_i * a_i;
-            for (var j = i; j < l; j++) {
-                a_j = a[j];
-                product = 2 * (a_i * a_j) + r[i + j] + carry;
-                carry = Math.floor(product / base);
-                r[i + j] = product - carry * base;
-            }
-            r[i + l] = carry;
-        }
-        trim(r);
-        return r;
-    }
-
-    BigInteger.prototype.square = function () {
-        return new BigInteger(square(this.value), false);
-    };
-
-    SmallInteger.prototype.square = function () {
-        var value = this.value * this.value;
-        if (isPrecise(value)) return new SmallInteger(value);
-        return new BigInteger(square(smallToArray(Math.abs(this.value))), false);
-    };
-
-    NativeBigInt.prototype.square = function (v) {
-        return new NativeBigInt(this.value * this.value);
-    }
-
-    function divMod1(a, b) { // Left over from previous version. Performs faster than divMod2 on smaller input sizes.
-        var a_l = a.length,
-            b_l = b.length,
-            base = BASE,
-            result = createArray(b.length),
-            divisorMostSignificantDigit = b[b_l - 1],
-            // normalization
-            lambda = Math.ceil(base / (2 * divisorMostSignificantDigit)),
-            remainder = multiplySmall(a, lambda),
-            divisor = multiplySmall(b, lambda),
-            quotientDigit, shift, carry, borrow, i, l, q;
-        if (remainder.length <= a_l) remainder.push(0);
-        divisor.push(0);
-        divisorMostSignificantDigit = divisor[b_l - 1];
-        for (shift = a_l - b_l; shift >= 0; shift--) {
-            quotientDigit = base - 1;
-            if (remainder[shift + b_l] !== divisorMostSignificantDigit) {
-                quotientDigit = Math.floor((remainder[shift + b_l] * base + remainder[shift + b_l - 1]) / divisorMostSignificantDigit);
-            }
-            // quotientDigit <= base - 1
-            carry = 0;
-            borrow = 0;
-            l = divisor.length;
-            for (i = 0; i < l; i++) {
-                carry += quotientDigit * divisor[i];
-                q = Math.floor(carry / base);
-                borrow += remainder[shift + i] - (carry - q * base);
-                carry = q;
-                if (borrow < 0) {
-                    remainder[shift + i] = borrow + base;
-                    borrow = -1;
-                } else {
-                    remainder[shift + i] = borrow;
-                    borrow = 0;
-                }
-            }
-            while (borrow !== 0) {
-                quotientDigit -= 1;
-                carry = 0;
-                for (i = 0; i < l; i++) {
-                    carry += remainder[shift + i] - base + divisor[i];
-                    if (carry < 0) {
-                        remainder[shift + i] = carry + base;
-                        carry = 0;
-                    } else {
-                        remainder[shift + i] = carry;
-                        carry = 1;
-                    }
-                }
-                borrow += carry;
-            }
-            result[shift] = quotientDigit;
-        }
-        // denormalization
-        remainder = divModSmall(remainder, lambda)[0];
-        return [arrayToSmall(result), arrayToSmall(remainder)];
-    }
-
-    function divMod2(a, b) { // Implementation idea shamelessly stolen from Silent Matt's library http://silentmatt.com/biginteger/
-        // Performs faster than divMod1 on larger input sizes.
-        var a_l = a.length,
-            b_l = b.length,
-            result = [],
-            part = [],
-            base = BASE,
-            guess, xlen, highx, highy, check;
-        while (a_l) {
-            part.unshift(a[--a_l]);
-            trim(part);
-            if (compareAbs(part, b) < 0) {
-                result.push(0);
-                continue;
-            }
-            xlen = part.length;
-            highx = part[xlen - 1] * base + part[xlen - 2];
-            highy = b[b_l - 1] * base + b[b_l - 2];
-            if (xlen > b_l) {
-                highx = (highx + 1) * base;
-            }
-            guess = Math.ceil(highx / highy);
-            do {
-                check = multiplySmall(b, guess);
-                if (compareAbs(check, part) <= 0) break;
-                guess--;
-            } while (guess);
-            result.push(guess);
-            part = subtract(part, check);
-        }
-        result.reverse();
-        return [arrayToSmall(result), arrayToSmall(part)];
-    }
-
-    function divModSmall(value, lambda) {
-        var length = value.length,
-            quotient = createArray(length),
-            base = BASE,
-            i, q, remainder, divisor;
-        remainder = 0;
-        for (i = length - 1; i >= 0; --i) {
-            divisor = remainder * base + value[i];
-            q = truncate(divisor / lambda);
-            remainder = divisor - q * lambda;
-            quotient[i] = q | 0;
-        }
-        return [quotient, remainder | 0];
-    }
-
-    function divModAny(self, v) {
-        var value, n = parseValue(v);
-        if (supportsNativeBigInt) {
-            return [new NativeBigInt(self.value / n.value), new NativeBigInt(self.value % n.value)];
-        }
-        var a = self.value, b = n.value;
-        var quotient;
-        if (b === 0) throw new Error("Cannot divide by zero");
-        if (self.isSmall) {
-            if (n.isSmall) {
-                return [new SmallInteger(truncate(a / b)), new SmallInteger(a % b)];
-            }
-            return [Integer[0], self];
-        }
-        if (n.isSmall) {
-            if (b === 1) return [self, Integer[0]];
-            if (b == -1) return [self.negate(), Integer[0]];
-            var abs = Math.abs(b);
-            if (abs < BASE) {
-                value = divModSmall(a, abs);
-                quotient = arrayToSmall(value[0]);
-                var remainder = value[1];
-                if (self.sign) remainder = -remainder;
-                if (typeof quotient === "number") {
-                    if (self.sign !== n.sign) quotient = -quotient;
-                    return [new SmallInteger(quotient), new SmallInteger(remainder)];
-                }
-                return [new BigInteger(quotient, self.sign !== n.sign), new SmallInteger(remainder)];
-            }
-            b = smallToArray(abs);
-        }
-        var comparison = compareAbs(a, b);
-        if (comparison === -1) return [Integer[0], self];
-        if (comparison === 0) return [Integer[self.sign === n.sign ? 1 : -1], Integer[0]];
-
-        // divMod1 is faster on smaller input sizes
-        if (a.length + b.length <= 200)
-            value = divMod1(a, b);
-        else value = divMod2(a, b);
-
-        quotient = value[0];
-        var qSign = self.sign !== n.sign,
-            mod = value[1],
-            mSign = self.sign;
-        if (typeof quotient === "number") {
-            if (qSign) quotient = -quotient;
-            quotient = new SmallInteger(quotient);
-        } else quotient = new BigInteger(quotient, qSign);
-        if (typeof mod === "number") {
-            if (mSign) mod = -mod;
-            mod = new SmallInteger(mod);
-        } else mod = new BigInteger(mod, mSign);
-        return [quotient, mod];
-    }
-
-    BigInteger.prototype.divmod = function (v) {
-        var result = divModAny(this, v);
-        return {
-            quotient: result[0],
-            remainder: result[1]
-        };
-    };
-    NativeBigInt.prototype.divmod = SmallInteger.prototype.divmod = BigInteger.prototype.divmod;
-
-
-    BigInteger.prototype.divide = function (v) {
-        return divModAny(this, v)[0];
-    };
-    NativeBigInt.prototype.over = NativeBigInt.prototype.divide = function (v) {
-        return new NativeBigInt(this.value / parseValue(v).value);
-    };
-    SmallInteger.prototype.over = SmallInteger.prototype.divide = BigInteger.prototype.over = BigInteger.prototype.divide;
-
-    BigInteger.prototype.mod = function (v) {
-        return divModAny(this, v)[1];
-    };
-    NativeBigInt.prototype.mod = NativeBigInt.prototype.remainder = function (v) {
-        return new NativeBigInt(this.value % parseValue(v).value);
-    };
-    SmallInteger.prototype.remainder = SmallInteger.prototype.mod = BigInteger.prototype.remainder = BigInteger.prototype.mod;
-
-    BigInteger.prototype.pow = function (v) {
-        var n = parseValue(v),
-            a = this.value,
-            b = n.value,
-            value, x, y;
-        if (b === 0) return Integer[1];
-        if (a === 0) return Integer[0];
-        if (a === 1) return Integer[1];
-        if (a === -1) return n.isEven() ? Integer[1] : Integer[-1];
-        if (n.sign) {
-            return Integer[0];
-        }
-        if (!n.isSmall) throw new Error("The exponent " + n.toString() + " is too large.");
-        if (this.isSmall) {
-            if (isPrecise(value = Math.pow(a, b)))
-                return new SmallInteger(truncate(value));
-        }
-        x = this;
-        y = Integer[1];
-        while (true) {
-            if (b & 1 === 1) {
-                y = y.times(x);
-                --b;
-            }
-            if (b === 0) break;
-            b /= 2;
-            x = x.square();
-        }
-        return y;
-    };
-    SmallInteger.prototype.pow = BigInteger.prototype.pow;
-
-    NativeBigInt.prototype.pow = function (v) {
-        var n = parseValue(v);
-        var a = this.value, b = n.value;
-        var _0 = BigInt(0), _1 = BigInt(1), _2 = BigInt(2);
-        if (b === _0) return Integer[1];
-        if (a === _0) return Integer[0];
-        if (a === _1) return Integer[1];
-        if (a === BigInt(-1)) return n.isEven() ? Integer[1] : Integer[-1];
-        if (n.isNegative()) return new NativeBigInt(_0);
-        var x = this;
-        var y = Integer[1];
-        while (true) {
-            if ((b & _1) === _1) {
-                y = y.times(x);
-                --b;
-            }
-            if (b === _0) break;
-            b /= _2;
-            x = x.square();
-        }
-        return y;
-    }
-
-    BigInteger.prototype.modPow = function (exp, mod) {
-        exp = parseValue(exp);
-        mod = parseValue(mod);
-        if (mod.isZero()) throw new Error("Cannot take modPow with modulus 0");
-        var r = Integer[1],
-            base = this.mod(mod);
-        while (exp.isPositive()) {
-            if (base.isZero()) return Integer[0];
-            if (exp.isOdd()) r = r.multiply(base).mod(mod);
-            exp = exp.divide(2);
-            base = base.square().mod(mod);
-        }
-        return r;
-    };
-    NativeBigInt.prototype.modPow = SmallInteger.prototype.modPow = BigInteger.prototype.modPow;
-
-    function compareAbs(a, b) {
-        if (a.length !== b.length) {
-            return a.length > b.length ? 1 : -1;
-        }
-        for (var i = a.length - 1; i >= 0; i--) {
-            if (a[i] !== b[i]) return a[i] > b[i] ? 1 : -1;
-        }
-        return 0;
-    }
-
-    BigInteger.prototype.compareAbs = function (v) {
-        var n = parseValue(v),
-            a = this.value,
-            b = n.value;
-        if (n.isSmall) return 1;
-        return compareAbs(a, b);
-    };
-    SmallInteger.prototype.compareAbs = function (v) {
-        var n = parseValue(v),
-            a = Math.abs(this.value),
-            b = n.value;
-        if (n.isSmall) {
-            b = Math.abs(b);
-            return a === b ? 0 : a > b ? 1 : -1;
-        }
-        return -1;
-    };
-    NativeBigInt.prototype.compareAbs = function (v) {
-        var a = this.value;
-        var b = parseValue(v).value;
-        a = a >= 0 ? a : -a;
-        b = b >= 0 ? b : -b;
-        return a === b ? 0 : a > b ? 1 : -1;
-    }
-
-    BigInteger.prototype.compare = function (v) {
-        // See discussion about comparison with Infinity:
-        // https://github.com/peterolson/BigInteger.js/issues/61
-        if (v === Infinity) {
-            return -1;
-        }
-        if (v === -Infinity) {
-            return 1;
-        }
-
-        var n = parseValue(v),
-            a = this.value,
-            b = n.value;
-        if (this.sign !== n.sign) {
-            return n.sign ? 1 : -1;
-        }
-        if (n.isSmall) {
-            return this.sign ? -1 : 1;
-        }
-        return compareAbs(a, b) * (this.sign ? -1 : 1);
-    };
-    BigInteger.prototype.compareTo = BigInteger.prototype.compare;
-
-    SmallInteger.prototype.compare = function (v) {
-        if (v === Infinity) {
-            return -1;
-        }
-        if (v === -Infinity) {
-            return 1;
-        }
-
-        var n = parseValue(v),
-            a = this.value,
-            b = n.value;
-        if (n.isSmall) {
-            return a == b ? 0 : a > b ? 1 : -1;
-        }
-        if (a < 0 !== n.sign) {
-            return a < 0 ? -1 : 1;
-        }
-        return a < 0 ? 1 : -1;
-    };
-    SmallInteger.prototype.compareTo = SmallInteger.prototype.compare;
-
-    NativeBigInt.prototype.compare = function (v) {
-        if (v === Infinity) {
-            return -1;
-        }
-        if (v === -Infinity) {
-            return 1;
-        }
-        var a = this.value;
-        var b = parseValue(v).value;
-        return a === b ? 0 : a > b ? 1 : -1;
-    }
-    NativeBigInt.prototype.compareTo = NativeBigInt.prototype.compare;
-
-    BigInteger.prototype.equals = function (v) {
-        return this.compare(v) === 0;
-    };
-    NativeBigInt.prototype.eq = NativeBigInt.prototype.equals = SmallInteger.prototype.eq = SmallInteger.prototype.equals = BigInteger.prototype.eq = BigInteger.prototype.equals;
-
-    BigInteger.prototype.notEquals = function (v) {
-        return this.compare(v) !== 0;
-    };
-    NativeBigInt.prototype.neq = NativeBigInt.prototype.notEquals = SmallInteger.prototype.neq = SmallInteger.prototype.notEquals = BigInteger.prototype.neq = BigInteger.prototype.notEquals;
-
-    BigInteger.prototype.greater = function (v) {
-        return this.compare(v) > 0;
-    };
-    NativeBigInt.prototype.gt = NativeBigInt.prototype.greater = SmallInteger.prototype.gt = SmallInteger.prototype.greater = BigInteger.prototype.gt = BigInteger.prototype.greater;
-
-    BigInteger.prototype.lesser = function (v) {
-        return this.compare(v) < 0;
-    };
-    NativeBigInt.prototype.lt = NativeBigInt.prototype.lesser = SmallInteger.prototype.lt = SmallInteger.prototype.lesser = BigInteger.prototype.lt = BigInteger.prototype.lesser;
-
-    BigInteger.prototype.greaterOrEquals = function (v) {
-        return this.compare(v) >= 0;
-    };
-    NativeBigInt.prototype.geq = NativeBigInt.prototype.greaterOrEquals = SmallInteger.prototype.geq = SmallInteger.prototype.greaterOrEquals = BigInteger.prototype.geq = BigInteger.prototype.greaterOrEquals;
-
-    BigInteger.prototype.lesserOrEquals = function (v) {
-        return this.compare(v) <= 0;
-    };
-    NativeBigInt.prototype.leq = NativeBigInt.prototype.lesserOrEquals = SmallInteger.prototype.leq = SmallInteger.prototype.lesserOrEquals = BigInteger.prototype.leq = BigInteger.prototype.lesserOrEquals;
-
-    BigInteger.prototype.isEven = function () {
-        return (this.value[0] & 1) === 0;
-    };
-    SmallInteger.prototype.isEven = function () {
-        return (this.value & 1) === 0;
-    };
-    NativeBigInt.prototype.isEven = function () {
-        return (this.value & BigInt(1)) === BigInt(0);
-    }
-
-    BigInteger.prototype.isOdd = function () {
-        return (this.value[0] & 1) === 1;
-    };
-    SmallInteger.prototype.isOdd = function () {
-        return (this.value & 1) === 1;
-    };
-    NativeBigInt.prototype.isOdd = function () {
-        return (this.value & BigInt(1)) === BigInt(1);
-    }
-
-    BigInteger.prototype.isPositive = function () {
-        return !this.sign;
-    };
-    SmallInteger.prototype.isPositive = function () {
-        return this.value > 0;
-    };
-    NativeBigInt.prototype.isPositive = SmallInteger.prototype.isPositive;
-
-    BigInteger.prototype.isNegative = function () {
-        return this.sign;
-    };
-    SmallInteger.prototype.isNegative = function () {
-        return this.value < 0;
-    };
-    NativeBigInt.prototype.isNegative = SmallInteger.prototype.isNegative;
-
-    BigInteger.prototype.isUnit = function () {
-        return false;
-    };
-    SmallInteger.prototype.isUnit = function () {
-        return Math.abs(this.value) === 1;
-    };
-    NativeBigInt.prototype.isUnit = function () {
-        return this.abs().value === BigInt(1);
-    }
-
-    BigInteger.prototype.isZero = function () {
-        return false;
-    };
-    SmallInteger.prototype.isZero = function () {
-        return this.value === 0;
-    };
-    NativeBigInt.prototype.isZero = function () {
-        return this.value === BigInt(0);
-    }
-
-    BigInteger.prototype.isDivisibleBy = function (v) {
-        var n = parseValue(v);
-        if (n.isZero()) return false;
-        if (n.isUnit()) return true;
-        if (n.compareAbs(2) === 0) return this.isEven();
-        return this.mod(n).isZero();
-    };
-    NativeBigInt.prototype.isDivisibleBy = SmallInteger.prototype.isDivisibleBy = BigInteger.prototype.isDivisibleBy;
-
-    function isBasicPrime(v) {
-        var n = v.abs();
-        if (n.isUnit()) return false;
-        if (n.equals(2) || n.equals(3) || n.equals(5)) return true;
-        if (n.isEven() || n.isDivisibleBy(3) || n.isDivisibleBy(5)) return false;
-        if (n.lesser(49)) return true;
-        // we don't know if it's prime: let the other functions figure it out
-    }
-
-    function millerRabinTest(n, a) {
-        var nPrev = n.prev(),
-            b = nPrev,
-            r = 0,
-            d, t, i, x;
-        while (b.isEven()) b = b.divide(2), r++;
-        next: for (i = 0; i < a.length; i++) {
-            if (n.lesser(a[i])) continue;
-            x = bigInt(a[i]).modPow(b, n);
-            if (x.isUnit() || x.equals(nPrev)) continue;
-            for (d = r - 1; d != 0; d--) {
-                x = x.square().mod(n);
-                if (x.isUnit()) return false;
-                if (x.equals(nPrev)) continue next;
-            }
-            return false;
-        }
-        return true;
-    }
-
-    // Set "strict" to true to force GRH-supported lower bound of 2*log(N)^2
-    BigInteger.prototype.isPrime = function (strict) {
-        var isPrime = isBasicPrime(this);
-        if (isPrime !== undefined) return isPrime;
-        var n = this.abs();
-        var bits = n.bitLength();
-        if (bits <= 64)
-            return millerRabinTest(n, [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]);
-        var logN = Math.log(2) * bits.toJSNumber();
-        var t = Math.ceil((strict === true) ? (2 * Math.pow(logN, 2)) : logN);
-        for (var a = [], i = 0; i < t; i++) {
-            a.push(bigInt(i + 2));
-        }
-        return millerRabinTest(n, a);
-    };
-    NativeBigInt.prototype.isPrime = SmallInteger.prototype.isPrime = BigInteger.prototype.isPrime;
-
-    BigInteger.prototype.isProbablePrime = function (iterations) {
-        var isPrime = isBasicPrime(this);
-        if (isPrime !== undefined) return isPrime;
-        var n = this.abs();
-        var t = iterations === undefined ? 5 : iterations;
-        for (var a = [], i = 0; i < t; i++) {
-            a.push(bigInt.randBetween(2, n.minus(2)));
-        }
-        return millerRabinTest(n, a);
-    };
-    NativeBigInt.prototype.isProbablePrime = SmallInteger.prototype.isProbablePrime = BigInteger.prototype.isProbablePrime;
-
-    BigInteger.prototype.modInv = function (n) {
-        var t = bigInt.zero, newT = bigInt.one, r = parseValue(n), newR = this.abs(), q, lastT, lastR;
-        while (!newR.isZero()) {
-            q = r.divide(newR);
-            lastT = t;
-            lastR = r;
-            t = newT;
-            r = newR;
-            newT = lastT.subtract(q.multiply(newT));
-            newR = lastR.subtract(q.multiply(newR));
-        }
-        if (!r.isUnit()) throw new Error(this.toString() + " and " + n.toString() + " are not co-prime");
-        if (t.compare(0) === -1) {
-            t = t.add(n);
-        }
-        if (this.isNegative()) {
-            return t.negate();
-        }
-        return t;
-    };
-
-    NativeBigInt.prototype.modInv = SmallInteger.prototype.modInv = BigInteger.prototype.modInv;
-
-    BigInteger.prototype.next = function () {
-        var value = this.value;
-        if (this.sign) {
-            return subtractSmall(value, 1, this.sign);
-        }
-        return new BigInteger(addSmall(value, 1), this.sign);
-    };
-    SmallInteger.prototype.next = function () {
-        var value = this.value;
-        if (value + 1 < MAX_INT) return new SmallInteger(value + 1);
-        return new BigInteger(MAX_INT_ARR, false);
-    };
-    NativeBigInt.prototype.next = function () {
-        return new NativeBigInt(this.value + BigInt(1));
-    }
-
-    BigInteger.prototype.prev = function () {
-        var value = this.value;
-        if (this.sign) {
-            return new BigInteger(addSmall(value, 1), true);
-        }
-        return subtractSmall(value, 1, this.sign);
-    };
-    SmallInteger.prototype.prev = function () {
-        var value = this.value;
-        if (value - 1 > -MAX_INT) return new SmallInteger(value - 1);
-        return new BigInteger(MAX_INT_ARR, true);
-    };
-    NativeBigInt.prototype.prev = function () {
-        return new NativeBigInt(this.value - BigInt(1));
-    }
-
-    var powersOfTwo = [1];
-    while (2 * powersOfTwo[powersOfTwo.length - 1] <= BASE) powersOfTwo.push(2 * powersOfTwo[powersOfTwo.length - 1]);
-    var powers2Length = powersOfTwo.length, highestPower2 = powersOfTwo[powers2Length - 1];
-
-    function shift_isSmall(n) {
-        return Math.abs(n) <= BASE;
-    }
-
-    BigInteger.prototype.shiftLeft = function (v) {
-        var n = parseValue(v).toJSNumber();
-        if (!shift_isSmall(n)) {
-            throw new Error(String(n) + " is too large for shifting.");
-        }
-        if (n < 0) return this.shiftRight(-n);
-        var result = this;
-        if (result.isZero()) return result;
-        while (n >= powers2Length) {
-            result = result.multiply(highestPower2);
-            n -= powers2Length - 1;
-        }
-        return result.multiply(powersOfTwo[n]);
-    };
-    NativeBigInt.prototype.shiftLeft = SmallInteger.prototype.shiftLeft = BigInteger.prototype.shiftLeft;
-
-    BigInteger.prototype.shiftRight = function (v) {
-        var remQuo;
-        var n = parseValue(v).toJSNumber();
-        if (!shift_isSmall(n)) {
-            throw new Error(String(n) + " is too large for shifting.");
-        }
-        if (n < 0) return this.shiftLeft(-n);
-        var result = this;
-        while (n >= powers2Length) {
-            if (result.isZero() || (result.isNegative() && result.isUnit())) return result;
-            remQuo = divModAny(result, highestPower2);
-            result = remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0];
-            n -= powers2Length - 1;
-        }
-        remQuo = divModAny(result, powersOfTwo[n]);
-        return remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0];
-    };
-    NativeBigInt.prototype.shiftRight = SmallInteger.prototype.shiftRight = BigInteger.prototype.shiftRight;
-
-    function bitwise(x, y, fn) {
-        y = parseValue(y);
-        var xSign = x.isNegative(), ySign = y.isNegative();
-        var xRem = xSign ? x.not() : x,
-            yRem = ySign ? y.not() : y;
-        var xDigit = 0, yDigit = 0;
-        var xDivMod = null, yDivMod = null;
-        var result = [];
-        while (!xRem.isZero() || !yRem.isZero()) {
-            xDivMod = divModAny(xRem, highestPower2);
-            xDigit = xDivMod[1].toJSNumber();
-            if (xSign) {
-                xDigit = highestPower2 - 1 - xDigit; // two's complement for negative numbers
-            }
-
-            yDivMod = divModAny(yRem, highestPower2);
-            yDigit = yDivMod[1].toJSNumber();
-            if (ySign) {
-                yDigit = highestPower2 - 1 - yDigit; // two's complement for negative numbers
-            }
-
-            xRem = xDivMod[0];
-            yRem = yDivMod[0];
-            result.push(fn(xDigit, yDigit));
-        }
-        var sum = fn(xSign ? 1 : 0, ySign ? 1 : 0) !== 0 ? bigInt(-1) : bigInt(0);
-        for (var i = result.length - 1; i >= 0; i -= 1) {
-            sum = sum.multiply(highestPower2).add(bigInt(result[i]));
-        }
-        return sum;
-    }
-
-    BigInteger.prototype.not = function () {
-        return this.negate().prev();
-    };
-    NativeBigInt.prototype.not = SmallInteger.prototype.not = BigInteger.prototype.not;
-
-    BigInteger.prototype.and = function (n) {
-        return bitwise(this, n, function (a, b) { return a & b; });
-    };
-    NativeBigInt.prototype.and = SmallInteger.prototype.and = BigInteger.prototype.and;
-
-    BigInteger.prototype.or = function (n) {
-        return bitwise(this, n, function (a, b) { return a | b; });
-    };
-    NativeBigInt.prototype.or = SmallInteger.prototype.or = BigInteger.prototype.or;
-
-    BigInteger.prototype.xor = function (n) {
-        return bitwise(this, n, function (a, b) { return a ^ b; });
-    };
-    NativeBigInt.prototype.xor = SmallInteger.prototype.xor = BigInteger.prototype.xor;
-
-    var LOBMASK_I = 1 << 30, LOBMASK_BI = (BASE & -BASE) * (BASE & -BASE) | LOBMASK_I;
-    function roughLOB(n) { // get lowestOneBit (rough)
-        // SmallInteger: return Min(lowestOneBit(n), 1 << 30)
-        // BigInteger: return Min(lowestOneBit(n), 1 << 14) [BASE=1e7]
-        var v = n.value,
-            x = typeof v === "number" ? v | LOBMASK_I :
-                typeof v === "bigint" ? v | BigInt(LOBMASK_I) :
-                    v[0] + v[1] * BASE | LOBMASK_BI;
-        return x & -x;
-    }
-
-    function integerLogarithm(value, base) {
-        if (base.compareTo(value) <= 0) {
-            var tmp = integerLogarithm(value, base.square(base));
-            var p = tmp.p;
-            var e = tmp.e;
-            var t = p.multiply(base);
-            return t.compareTo(value) <= 0 ? { p: t, e: e * 2 + 1 } : { p: p, e: e * 2 };
-        }
-        return { p: bigInt(1), e: 0 };
-    }
-
-    BigInteger.prototype.bitLength = function () {
-        var n = this;
-        if (n.compareTo(bigInt(0)) < 0) {
-            n = n.negate().subtract(bigInt(1));
-        }
-        if (n.compareTo(bigInt(0)) === 0) {
-            return bigInt(0);
-        }
-        return bigInt(integerLogarithm(n, bigInt(2)).e).add(bigInt(1));
-    }
-    NativeBigInt.prototype.bitLength = SmallInteger.prototype.bitLength = BigInteger.prototype.bitLength;
-
-    function max(a, b) {
-        a = parseValue(a);
-        b = parseValue(b);
-        return a.greater(b) ? a : b;
-    }
-    function min(a, b) {
-        a = parseValue(a);
-        b = parseValue(b);
-        return a.lesser(b) ? a : b;
-    }
-    function gcd(a, b) {
-        a = parseValue(a).abs();
-        b = parseValue(b).abs();
-        if (a.equals(b)) return a;
-        if (a.isZero()) return b;
-        if (b.isZero()) return a;
-        var c = Integer[1], d, t;
-        while (a.isEven() && b.isEven()) {
-            d = min(roughLOB(a), roughLOB(b));
-            a = a.divide(d);
-            b = b.divide(d);
-            c = c.multiply(d);
-        }
-        while (a.isEven()) {
-            a = a.divide(roughLOB(a));
-        }
-        do {
-            while (b.isEven()) {
-                b = b.divide(roughLOB(b));
-            }
-            if (a.greater(b)) {
-                t = b; b = a; a = t;
-            }
-            b = b.subtract(a);
-        } while (!b.isZero());
-        return c.isUnit() ? a : a.multiply(c);
-    }
-    function lcm(a, b) {
-        a = parseValue(a).abs();
-        b = parseValue(b).abs();
-        return a.divide(gcd(a, b)).multiply(b);
-    }
-    function randBetween(a, b) {
-        a = parseValue(a);
-        b = parseValue(b);
-        var low = min(a, b), high = max(a, b);
-        var range = high.subtract(low).add(1);
-        if (range.isSmall) return low.add(Math.floor(Math.random() * range));
-        var digits = toBase(range, BASE).value;
-        var result = [], restricted = true;
-        for (var i = 0; i < digits.length; i++) {
-            var top = restricted ? digits[i] : BASE;
-            var digit = truncate(Math.random() * top);
-            result.push(digit);
-            if (digit < top) restricted = false;
-        }
-        return low.add(Integer.fromArray(result, BASE, false));
-    }
-
-    var parseBase = function (text, base, alphabet, caseSensitive) {
-        alphabet = alphabet || DEFAULT_ALPHABET;
-        text = String(text);
-        if (!caseSensitive) {
-            text = text.toLowerCase();
-            alphabet = alphabet.toLowerCase();
-        }
-        var length = text.length;
-        var i;
-        var absBase = Math.abs(base);
-        var alphabetValues = {};
-        for (i = 0; i < alphabet.length; i++) {
-            alphabetValues[alphabet[i]] = i;
-        }
-        for (i = 0; i < length; i++) {
-            var c = text[i];
-            if (c === "-") continue;
-            if (c in alphabetValues) {
-                if (alphabetValues[c] >= absBase) {
-                    if (c === "1" && absBase === 1) continue;
-                    throw new Error(c + " is not a valid digit in base " + base + ".");
-                }
-            }
-        }
-        base = parseValue(base);
-        var digits = [];
-        var isNegative = text[0] === "-";
-        for (i = isNegative ? 1 : 0; i < text.length; i++) {
-            var c = text[i];
-            if (c in alphabetValues) digits.push(parseValue(alphabetValues[c]));
-            else if (c === "<") {
-                var start = i;
-                do { i++; } while (text[i] !== ">" && i < text.length);
-                digits.push(parseValue(text.slice(start + 1, i)));
-            }
-            else throw new Error(c + " is not a valid character");
-        }
-        return parseBaseFromArray(digits, base, isNegative);
-    };
-
-    function parseBaseFromArray(digits, base, isNegative) {
-        var val = Integer[0], pow = Integer[1], i;
-        for (i = digits.length - 1; i >= 0; i--) {
-            val = val.add(digits[i].times(pow));
-            pow = pow.times(base);
-        }
-        return isNegative ? val.negate() : val;
-    }
-
-    function stringify(digit, alphabet) {
-        alphabet = alphabet || DEFAULT_ALPHABET;
-        if (digit < alphabet.length) {
-            return alphabet[digit];
-        }
-        return "<" + digit + ">";
-    }
-
-    function toBase(n, base) {
-        base = bigInt(base);
-        if (base.isZero()) {
-            if (n.isZero()) return { value: [0], isNegative: false };
-            throw new Error("Cannot convert nonzero numbers to base 0.");
-        }
-        if (base.equals(-1)) {
-            if (n.isZero()) return { value: [0], isNegative: false };
-            if (n.isNegative())
-                return {
-                    value: [].concat.apply([], Array.apply(null, Array(-n.toJSNumber()))
-                        .map(Array.prototype.valueOf, [1, 0])
-                    ),
-                    isNegative: false
-                };
-
-            var arr = Array.apply(null, Array(n.toJSNumber() - 1))
-                .map(Array.prototype.valueOf, [0, 1]);
-            arr.unshift([1]);
-            return {
-                value: [].concat.apply([], arr),
-                isNegative: false
-            };
-        }
-
-        var neg = false;
-        if (n.isNegative() && base.isPositive()) {
-            neg = true;
-            n = n.abs();
-        }
-        if (base.isUnit()) {
-            if (n.isZero()) return { value: [0], isNegative: false };
-
-            return {
-                value: Array.apply(null, Array(n.toJSNumber()))
-                    .map(Number.prototype.valueOf, 1),
-                isNegative: neg
-            };
-        }
-        var out = [];
-        var left = n, divmod;
-        while (left.isNegative() || left.compareAbs(base) >= 0) {
-            divmod = left.divmod(base);
-            left = divmod.quotient;
-            var digit = divmod.remainder;
-            if (digit.isNegative()) {
-                digit = base.minus(digit).abs();
-                left = left.next();
-            }
-            out.push(digit.toJSNumber());
-        }
-        out.push(left.toJSNumber());
-        return { value: out.reverse(), isNegative: neg };
-    }
-
-    function toBaseString(n, base, alphabet) {
-        var arr = toBase(n, base);
-        return (arr.isNegative ? "-" : "") + arr.value.map(function (x) {
-            return stringify(x, alphabet);
-        }).join('');
-    }
-
-    BigInteger.prototype.toArray = function (radix) {
-        return toBase(this, radix);
-    };
-
-    SmallInteger.prototype.toArray = function (radix) {
-        return toBase(this, radix);
-    };
-
-    NativeBigInt.prototype.toArray = function (radix) {
-        return toBase(this, radix);
-    };
-
-    BigInteger.prototype.toString = function (radix, alphabet) {
-        if (radix === undefined) radix = 10;
-        if (radix !== 10) return toBaseString(this, radix, alphabet);
-        var v = this.value, l = v.length, str = String(v[--l]), zeros = "0000000", digit;
-        while (--l >= 0) {
-            digit = String(v[l]);
-            str += zeros.slice(digit.length) + digit;
-        }
-        var sign = this.sign ? "-" : "";
-        return sign + str;
-    };
-
-    SmallInteger.prototype.toString = function (radix, alphabet) {
-        if (radix === undefined) radix = 10;
-        if (radix != 10) return toBaseString(this, radix, alphabet);
-        return String(this.value);
-    };
-
-    NativeBigInt.prototype.toString = SmallInteger.prototype.toString;
-
-    NativeBigInt.prototype.toJSON = BigInteger.prototype.toJSON = SmallInteger.prototype.toJSON = function () { return this.toString(); }
-
-    BigInteger.prototype.valueOf = function () {
-        return parseInt(this.toString(), 10);
-    };
-    BigInteger.prototype.toJSNumber = BigInteger.prototype.valueOf;
-
-    SmallInteger.prototype.valueOf = function () {
-        return this.value;
-    };
-    SmallInteger.prototype.toJSNumber = SmallInteger.prototype.valueOf;
-    NativeBigInt.prototype.valueOf = NativeBigInt.prototype.toJSNumber = function () {
-        return parseInt(this.toString(), 10);
-    }
-
-    function parseStringValue(v) {
-        if (isPrecise(+v)) {
-            var x = +v;
-            if (x === truncate(x))
-                return supportsNativeBigInt ? new NativeBigInt(BigInt(x)) : new SmallInteger(x);
-            throw new Error("Invalid integer: " + v);
-        }
-        var sign = v[0] === "-";
-        if (sign) v = v.slice(1);
-        var split = v.split(/e/i);
-        if (split.length > 2) throw new Error("Invalid integer: " + split.join("e"));
-        if (split.length === 2) {
-            var exp = split[1];
-            if (exp[0] === "+") exp = exp.slice(1);
-            exp = +exp;
-            if (exp !== truncate(exp) || !isPrecise(exp)) throw new Error("Invalid integer: " + exp + " is not a valid exponent.");
-            var text = split[0];
-            var decimalPlace = text.indexOf(".");
-            if (decimalPlace >= 0) {
-                exp -= text.length - decimalPlace - 1;
-                text = text.slice(0, decimalPlace) + text.slice(decimalPlace + 1);
-            }
-            if (exp < 0) throw new Error("Cannot include negative exponent part for integers");
-            text += (new Array(exp + 1)).join("0");
-            v = text;
-        }
-        var isValid = /^([0-9][0-9]*)$/.test(v);
-        if (!isValid) throw new Error("Invalid integer: " + v);
-        if (supportsNativeBigInt) {
-            return new NativeBigInt(BigInt(sign ? "-" + v : v));
-        }
-        var r = [], max = v.length, l = LOG_BASE, min = max - l;
-        while (max > 0) {
-            r.push(+v.slice(min, max));
-            min -= l;
-            if (min < 0) min = 0;
-            max -= l;
-        }
-        trim(r);
-        return new BigInteger(r, sign);
-    }
-
-    function parseNumberValue(v) {
-        if (supportsNativeBigInt) {
-            return new NativeBigInt(BigInt(v));
-        }
-        if (isPrecise(v)) {
-            if (v !== truncate(v)) throw new Error(v + " is not an integer.");
-            return new SmallInteger(v);
-        }
-        return parseStringValue(v.toString());
-    }
-
-    function parseValue(v) {
-        if (typeof v === "number") {
-            return parseNumberValue(v);
-        }
-        if (typeof v === "string") {
-            return parseStringValue(v);
-        }
-        if (typeof v === "bigint") {
-            return new NativeBigInt(v);
-        }
-        return v;
-    }
-    // Pre-define numbers in range [-999,999]
-    for (var i = 0; i < 1000; i++) {
-        Integer[i] = parseValue(i);
-        if (i > 0) Integer[-i] = parseValue(-i);
-    }
-    // Backwards compatibility
-    Integer.one = Integer[1];
-    Integer.zero = Integer[0];
-    Integer.minusOne = Integer[-1];
-    Integer.max = max;
-    Integer.min = min;
-    Integer.gcd = gcd;
-    Integer.lcm = lcm;
-    Integer.isInstance = function (x) { return x instanceof BigInteger || x instanceof SmallInteger || x instanceof NativeBigInt; };
-    Integer.randBetween = randBetween;
-
-    Integer.fromArray = function (digits, base, isNegative) {
-        return parseBaseFromArray(digits.map(parseValue), parseValue(base || 10), isNegative);
-    };
-
-    return Integer;
-})();
-
-// Node.js check
-if ( true && module.hasOwnProperty("exports")) {
-    module.exports = bigInt;
-}
-
-//amd check
-if (true) {
-    !(__WEBPACK_AMD_DEFINE_ARRAY__ = [], __WEBPACK_AMD_DEFINE_RESULT__ = (function () {
-        return bigInt;
+var __WEBPACK_AMD_DEFINE_ARRAY__, __WEBPACK_AMD_DEFINE_RESULT__;var bigInt = (function (undefined) {
+    "use strict";
+
+    var BASE = 1e7,
+        LOG_BASE = 7,
+        MAX_INT = 9007199254740992,
+        MAX_INT_ARR = smallToArray(MAX_INT),
+        DEFAULT_ALPHABET = "0123456789abcdefghijklmnopqrstuvwxyz";
+
+    var supportsNativeBigInt = typeof BigInt === "function";
+
+    function Integer(v, radix, alphabet, caseSensitive) {
+        if (typeof v === "undefined") return Integer[0];
+        if (typeof radix !== "undefined") return +radix === 10 && !alphabet ? parseValue(v) : parseBase(v, radix, alphabet, caseSensitive);
+        return parseValue(v);
+    }
+
+    function BigInteger(value, sign) {
+        this.value = value;
+        this.sign = sign;
+        this.isSmall = false;
+    }
+    BigInteger.prototype = Object.create(Integer.prototype);
+
+    function SmallInteger(value) {
+        this.value = value;
+        this.sign = value < 0;
+        this.isSmall = true;
+    }
+    SmallInteger.prototype = Object.create(Integer.prototype);
+
+    function NativeBigInt(value) {
+        this.value = value;
+    }
+    NativeBigInt.prototype = Object.create(Integer.prototype);
+
+    function isPrecise(n) {
+        return -MAX_INT < n && n < MAX_INT;
+    }
+
+    function smallToArray(n) { // For performance reasons doesn't reference BASE, need to change this function if BASE changes
+        if (n < 1e7)
+            return [n];
+        if (n < 1e14)
+            return [n % 1e7, Math.floor(n / 1e7)];
+        return [n % 1e7, Math.floor(n / 1e7) % 1e7, Math.floor(n / 1e14)];
+    }
+
+    function arrayToSmall(arr) { // If BASE changes this function may need to change
+        trim(arr);
+        var length = arr.length;
+        if (length < 4 && compareAbs(arr, MAX_INT_ARR) < 0) {
+            switch (length) {
+                case 0: return 0;
+                case 1: return arr[0];
+                case 2: return arr[0] + arr[1] * BASE;
+                default: return arr[0] + (arr[1] + arr[2] * BASE) * BASE;
+            }
+        }
+        return arr;
+    }
+
+    function trim(v) {
+        var i = v.length;
+        while (v[--i] === 0);
+        v.length = i + 1;
+    }
+
+    function createArray(length) { // function shamelessly stolen from Yaffle's library https://github.com/Yaffle/BigInteger
+        var x = new Array(length);
+        var i = -1;
+        while (++i < length) {
+            x[i] = 0;
+        }
+        return x;
+    }
+
+    function truncate(n) {
+        if (n > 0) return Math.floor(n);
+        return Math.ceil(n);
+    }
+
+    function add(a, b) { // assumes a and b are arrays with a.length >= b.length
+        var l_a = a.length,
+            l_b = b.length,
+            r = new Array(l_a),
+            carry = 0,
+            base = BASE,
+            sum, i;
+        for (i = 0; i < l_b; i++) {
+            sum = a[i] + b[i] + carry;
+            carry = sum >= base ? 1 : 0;
+            r[i] = sum - carry * base;
+        }
+        while (i < l_a) {
+            sum = a[i] + carry;
+            carry = sum === base ? 1 : 0;
+            r[i++] = sum - carry * base;
+        }
+        if (carry > 0) r.push(carry);
+        return r;
+    }
+
+    function addAny(a, b) {
+        if (a.length >= b.length) return add(a, b);
+        return add(b, a);
+    }
+
+    function addSmall(a, carry) { // assumes a is array, carry is number with 0 <= carry < MAX_INT
+        var l = a.length,
+            r = new Array(l),
+            base = BASE,
+            sum, i;
+        for (i = 0; i < l; i++) {
+            sum = a[i] - base + carry;
+            carry = Math.floor(sum / base);
+            r[i] = sum - carry * base;
+            carry += 1;
+        }
+        while (carry > 0) {
+            r[i++] = carry % base;
+            carry = Math.floor(carry / base);
+        }
+        return r;
+    }
+
+    BigInteger.prototype.add = function (v) {
+        var n = parseValue(v);
+        if (this.sign !== n.sign) {
+            return this.subtract(n.negate());
+        }
+        var a = this.value, b = n.value;
+        if (n.isSmall) {
+            return new BigInteger(addSmall(a, Math.abs(b)), this.sign);
+        }
+        return new BigInteger(addAny(a, b), this.sign);
+    };
+    BigInteger.prototype.plus = BigInteger.prototype.add;
+
+    SmallInteger.prototype.add = function (v) {
+        var n = parseValue(v);
+        var a = this.value;
+        if (a < 0 !== n.sign) {
+            return this.subtract(n.negate());
+        }
+        var b = n.value;
+        if (n.isSmall) {
+            if (isPrecise(a + b)) return new SmallInteger(a + b);
+            b = smallToArray(Math.abs(b));
+        }
+        return new BigInteger(addSmall(b, Math.abs(a)), a < 0);
+    };
+    SmallInteger.prototype.plus = SmallInteger.prototype.add;
+
+    NativeBigInt.prototype.add = function (v) {
+        return new NativeBigInt(this.value + parseValue(v).value);
+    }
+    NativeBigInt.prototype.plus = NativeBigInt.prototype.add;
+
+    function subtract(a, b) { // assumes a and b are arrays with a >= b
+        var a_l = a.length,
+            b_l = b.length,
+            r = new Array(a_l),
+            borrow = 0,
+            base = BASE,
+            i, difference;
+        for (i = 0; i < b_l; i++) {
+            difference = a[i] - borrow - b[i];
+            if (difference < 0) {
+                difference += base;
+                borrow = 1;
+            } else borrow = 0;
+            r[i] = difference;
+        }
+        for (i = b_l; i < a_l; i++) {
+            difference = a[i] - borrow;
+            if (difference < 0) difference += base;
+            else {
+                r[i++] = difference;
+                break;
+            }
+            r[i] = difference;
+        }
+        for (; i < a_l; i++) {
+            r[i] = a[i];
+        }
+        trim(r);
+        return r;
+    }
+
+    function subtractAny(a, b, sign) {
+        var value;
+        if (compareAbs(a, b) >= 0) {
+            value = subtract(a, b);
+        } else {
+            value = subtract(b, a);
+            sign = !sign;
+        }
+        value = arrayToSmall(value);
+        if (typeof value === "number") {
+            if (sign) value = -value;
+            return new SmallInteger(value);
+        }
+        return new BigInteger(value, sign);
+    }
+
+    function subtractSmall(a, b, sign) { // assumes a is array, b is number with 0 <= b < MAX_INT
+        var l = a.length,
+            r = new Array(l),
+            carry = -b,
+            base = BASE,
+            i, difference;
+        for (i = 0; i < l; i++) {
+            difference = a[i] + carry;
+            carry = Math.floor(difference / base);
+            difference %= base;
+            r[i] = difference < 0 ? difference + base : difference;
+        }
+        r = arrayToSmall(r);
+        if (typeof r === "number") {
+            if (sign) r = -r;
+            return new SmallInteger(r);
+        } return new BigInteger(r, sign);
+    }
+
+    BigInteger.prototype.subtract = function (v) {
+        var n = parseValue(v);
+        if (this.sign !== n.sign) {
+            return this.add(n.negate());
+        }
+        var a = this.value, b = n.value;
+        if (n.isSmall)
+            return subtractSmall(a, Math.abs(b), this.sign);
+        return subtractAny(a, b, this.sign);
+    };
+    BigInteger.prototype.minus = BigInteger.prototype.subtract;
+
+    SmallInteger.prototype.subtract = function (v) {
+        var n = parseValue(v);
+        var a = this.value;
+        if (a < 0 !== n.sign) {
+            return this.add(n.negate());
+        }
+        var b = n.value;
+        if (n.isSmall) {
+            return new SmallInteger(a - b);
+        }
+        return subtractSmall(b, Math.abs(a), a >= 0);
+    };
+    SmallInteger.prototype.minus = SmallInteger.prototype.subtract;
+
+    NativeBigInt.prototype.subtract = function (v) {
+        return new NativeBigInt(this.value - parseValue(v).value);
+    }
+    NativeBigInt.prototype.minus = NativeBigInt.prototype.subtract;
+
+    BigInteger.prototype.negate = function () {
+        return new BigInteger(this.value, !this.sign);
+    };
+    SmallInteger.prototype.negate = function () {
+        var sign = this.sign;
+        var small = new SmallInteger(-this.value);
+        small.sign = !sign;
+        return small;
+    };
+    NativeBigInt.prototype.negate = function () {
+        return new NativeBigInt(-this.value);
+    }
+
+    BigInteger.prototype.abs = function () {
+        return new BigInteger(this.value, false);
+    };
+    SmallInteger.prototype.abs = function () {
+        return new SmallInteger(Math.abs(this.value));
+    };
+    NativeBigInt.prototype.abs = function () {
+        return new NativeBigInt(this.value >= 0 ? this.value : -this.value);
+    }
+
+
+    function multiplyLong(a, b) {
+        var a_l = a.length,
+            b_l = b.length,
+            l = a_l + b_l,
+            r = createArray(l),
+            base = BASE,
+            product, carry, i, a_i, b_j;
+        for (i = 0; i < a_l; ++i) {
+            a_i = a[i];
+            for (var j = 0; j < b_l; ++j) {
+                b_j = b[j];
+                product = a_i * b_j + r[i + j];
+                carry = Math.floor(product / base);
+                r[i + j] = product - carry * base;
+                r[i + j + 1] += carry;
+            }
+        }
+        trim(r);
+        return r;
+    }
+
+    function multiplySmall(a, b) { // assumes a is array, b is number with |b| < BASE
+        var l = a.length,
+            r = new Array(l),
+            base = BASE,
+            carry = 0,
+            product, i;
+        for (i = 0; i < l; i++) {
+            product = a[i] * b + carry;
+            carry = Math.floor(product / base);
+            r[i] = product - carry * base;
+        }
+        while (carry > 0) {
+            r[i++] = carry % base;
+            carry = Math.floor(carry / base);
+        }
+        return r;
+    }
+
+    function shiftLeft(x, n) {
+        var r = [];
+        while (n-- > 0) r.push(0);
+        return r.concat(x);
+    }
+
+    function multiplyKaratsuba(x, y) {
+        var n = Math.max(x.length, y.length);
+
+        if (n <= 30) return multiplyLong(x, y);
+        n = Math.ceil(n / 2);
+
+        var b = x.slice(n),
+            a = x.slice(0, n),
+            d = y.slice(n),
+            c = y.slice(0, n);
+
+        var ac = multiplyKaratsuba(a, c),
+            bd = multiplyKaratsuba(b, d),
+            abcd = multiplyKaratsuba(addAny(a, b), addAny(c, d));
+
+        var product = addAny(addAny(ac, shiftLeft(subtract(subtract(abcd, ac), bd), n)), shiftLeft(bd, 2 * n));
+        trim(product);
+        return product;
+    }
+
+    // The following function is derived from a surface fit of a graph plotting the performance difference
+    // between long multiplication and karatsuba multiplication versus the lengths of the two arrays.
+    function useKaratsuba(l1, l2) {
+        return -0.012 * l1 - 0.012 * l2 + 0.000015 * l1 * l2 > 0;
+    }
+
+    BigInteger.prototype.multiply = function (v) {
+        var n = parseValue(v),
+            a = this.value, b = n.value,
+            sign = this.sign !== n.sign,
+            abs;
+        if (n.isSmall) {
+            if (b === 0) return Integer[0];
+            if (b === 1) return this;
+            if (b === -1) return this.negate();
+            abs = Math.abs(b);
+            if (abs < BASE) {
+                return new BigInteger(multiplySmall(a, abs), sign);
+            }
+            b = smallToArray(abs);
+        }
+        if (useKaratsuba(a.length, b.length)) // Karatsuba is only faster for certain array sizes
+            return new BigInteger(multiplyKaratsuba(a, b), sign);
+        return new BigInteger(multiplyLong(a, b), sign);
+    };
+
+    BigInteger.prototype.times = BigInteger.prototype.multiply;
+
+    function multiplySmallAndArray(a, b, sign) { // a >= 0
+        if (a < BASE) {
+            return new BigInteger(multiplySmall(b, a), sign);
+        }
+        return new BigInteger(multiplyLong(b, smallToArray(a)), sign);
+    }
+    SmallInteger.prototype._multiplyBySmall = function (a) {
+        if (isPrecise(a.value * this.value)) {
+            return new SmallInteger(a.value * this.value);
+        }
+        return multiplySmallAndArray(Math.abs(a.value), smallToArray(Math.abs(this.value)), this.sign !== a.sign);
+    };
+    BigInteger.prototype._multiplyBySmall = function (a) {
+        if (a.value === 0) return Integer[0];
+        if (a.value === 1) return this;
+        if (a.value === -1) return this.negate();
+        return multiplySmallAndArray(Math.abs(a.value), this.value, this.sign !== a.sign);
+    };
+    SmallInteger.prototype.multiply = function (v) {
+        return parseValue(v)._multiplyBySmall(this);
+    };
+    SmallInteger.prototype.times = SmallInteger.prototype.multiply;
+
+    NativeBigInt.prototype.multiply = function (v) {
+        return new NativeBigInt(this.value * parseValue(v).value);
+    }
+    NativeBigInt.prototype.times = NativeBigInt.prototype.multiply;
+
+    function square(a) {
+        //console.assert(2 * BASE * BASE < MAX_INT);
+        var l = a.length,
+            r = createArray(l + l),
+            base = BASE,
+            product, carry, i, a_i, a_j;
+        for (i = 0; i < l; i++) {
+            a_i = a[i];
+            carry = 0 - a_i * a_i;
+            for (var j = i; j < l; j++) {
+                a_j = a[j];
+                product = 2 * (a_i * a_j) + r[i + j] + carry;
+                carry = Math.floor(product / base);
+                r[i + j] = product - carry * base;
+            }
+            r[i + l] = carry;
+        }
+        trim(r);
+        return r;
+    }
+
+    BigInteger.prototype.square = function () {
+        return new BigInteger(square(this.value), false);
+    };
+
+    SmallInteger.prototype.square = function () {
+        var value = this.value * this.value;
+        if (isPrecise(value)) return new SmallInteger(value);
+        return new BigInteger(square(smallToArray(Math.abs(this.value))), false);
+    };
+
+    NativeBigInt.prototype.square = function (v) {
+        return new NativeBigInt(this.value * this.value);
+    }
+
+    function divMod1(a, b) { // Left over from previous version. Performs faster than divMod2 on smaller input sizes.
+        var a_l = a.length,
+            b_l = b.length,
+            base = BASE,
+            result = createArray(b.length),
+            divisorMostSignificantDigit = b[b_l - 1],
+            // normalization
+            lambda = Math.ceil(base / (2 * divisorMostSignificantDigit)),
+            remainder = multiplySmall(a, lambda),
+            divisor = multiplySmall(b, lambda),
+            quotientDigit, shift, carry, borrow, i, l, q;
+        if (remainder.length <= a_l) remainder.push(0);
+        divisor.push(0);
+        divisorMostSignificantDigit = divisor[b_l - 1];
+        for (shift = a_l - b_l; shift >= 0; shift--) {
+            quotientDigit = base - 1;
+            if (remainder[shift + b_l] !== divisorMostSignificantDigit) {
+                quotientDigit = Math.floor((remainder[shift + b_l] * base + remainder[shift + b_l - 1]) / divisorMostSignificantDigit);
+            }
+            // quotientDigit <= base - 1
+            carry = 0;
+            borrow = 0;
+            l = divisor.length;
+            for (i = 0; i < l; i++) {
+                carry += quotientDigit * divisor[i];
+                q = Math.floor(carry / base);
+                borrow += remainder[shift + i] - (carry - q * base);
+                carry = q;
+                if (borrow < 0) {
+                    remainder[shift + i] = borrow + base;
+                    borrow = -1;
+                } else {
+                    remainder[shift + i] = borrow;
+                    borrow = 0;
+                }
+            }
+            while (borrow !== 0) {
+                quotientDigit -= 1;
+                carry = 0;
+                for (i = 0; i < l; i++) {
+                    carry += remainder[shift + i] - base + divisor[i];
+                    if (carry < 0) {
+                        remainder[shift + i] = carry + base;
+                        carry = 0;
+                    } else {
+                        remainder[shift + i] = carry;
+                        carry = 1;
+                    }
+                }
+                borrow += carry;
+            }
+            result[shift] = quotientDigit;
+        }
+        // denormalization
+        remainder = divModSmall(remainder, lambda)[0];
+        return [arrayToSmall(result), arrayToSmall(remainder)];
+    }
+
+    function divMod2(a, b) { // Implementation idea shamelessly stolen from Silent Matt's library http://silentmatt.com/biginteger/
+        // Performs faster than divMod1 on larger input sizes.
+        var a_l = a.length,
+            b_l = b.length,
+            result = [],
+            part = [],
+            base = BASE,
+            guess, xlen, highx, highy, check;
+        while (a_l) {
+            part.unshift(a[--a_l]);
+            trim(part);
+            if (compareAbs(part, b) < 0) {
+                result.push(0);
+                continue;
+            }
+            xlen = part.length;
+            highx = part[xlen - 1] * base + part[xlen - 2];
+            highy = b[b_l - 1] * base + b[b_l - 2];
+            if (xlen > b_l) {
+                highx = (highx + 1) * base;
+            }
+            guess = Math.ceil(highx / highy);
+            do {
+                check = multiplySmall(b, guess);
+                if (compareAbs(check, part) <= 0) break;
+                guess--;
+            } while (guess);
+            result.push(guess);
+            part = subtract(part, check);
+        }
+        result.reverse();
+        return [arrayToSmall(result), arrayToSmall(part)];
+    }
+
+    function divModSmall(value, lambda) {
+        var length = value.length,
+            quotient = createArray(length),
+            base = BASE,
+            i, q, remainder, divisor;
+        remainder = 0;
+        for (i = length - 1; i >= 0; --i) {
+            divisor = remainder * base + value[i];
+            q = truncate(divisor / lambda);
+            remainder = divisor - q * lambda;
+            quotient[i] = q | 0;
+        }
+        return [quotient, remainder | 0];
+    }
+
+    function divModAny(self, v) {
+        var value, n = parseValue(v);
+        if (supportsNativeBigInt) {
+            return [new NativeBigInt(self.value / n.value), new NativeBigInt(self.value % n.value)];
+        }
+        var a = self.value, b = n.value;
+        var quotient;
+        if (b === 0) throw new Error("Cannot divide by zero");
+        if (self.isSmall) {
+            if (n.isSmall) {
+                return [new SmallInteger(truncate(a / b)), new SmallInteger(a % b)];
+            }
+            return [Integer[0], self];
+        }
+        if (n.isSmall) {
+            if (b === 1) return [self, Integer[0]];
+            if (b == -1) return [self.negate(), Integer[0]];
+            var abs = Math.abs(b);
+            if (abs < BASE) {
+                value = divModSmall(a, abs);
+                quotient = arrayToSmall(value[0]);
+                var remainder = value[1];
+                if (self.sign) remainder = -remainder;
+                if (typeof quotient === "number") {
+                    if (self.sign !== n.sign) quotient = -quotient;
+                    return [new SmallInteger(quotient), new SmallInteger(remainder)];
+                }
+                return [new BigInteger(quotient, self.sign !== n.sign), new SmallInteger(remainder)];
+            }
+            b = smallToArray(abs);
+        }
+        var comparison = compareAbs(a, b);
+        if (comparison === -1) return [Integer[0], self];
+        if (comparison === 0) return [Integer[self.sign === n.sign ? 1 : -1], Integer[0]];
+
+        // divMod1 is faster on smaller input sizes
+        if (a.length + b.length <= 200)
+            value = divMod1(a, b);
+        else value = divMod2(a, b);
+
+        quotient = value[0];
+        var qSign = self.sign !== n.sign,
+            mod = value[1],
+            mSign = self.sign;
+        if (typeof quotient === "number") {
+            if (qSign) quotient = -quotient;
+            quotient = new SmallInteger(quotient);
+        } else quotient = new BigInteger(quotient, qSign);
+        if (typeof mod === "number") {
+            if (mSign) mod = -mod;
+            mod = new SmallInteger(mod);
+        } else mod = new BigInteger(mod, mSign);
+        return [quotient, mod];
+    }
+
+    BigInteger.prototype.divmod = function (v) {
+        var result = divModAny(this, v);
+        return {
+            quotient: result[0],
+            remainder: result[1]
+        };
+    };
+    NativeBigInt.prototype.divmod = SmallInteger.prototype.divmod = BigInteger.prototype.divmod;
+
+
+    BigInteger.prototype.divide = function (v) {
+        return divModAny(this, v)[0];
+    };
+    NativeBigInt.prototype.over = NativeBigInt.prototype.divide = function (v) {
+        return new NativeBigInt(this.value / parseValue(v).value);
+    };
+    SmallInteger.prototype.over = SmallInteger.prototype.divide = BigInteger.prototype.over = BigInteger.prototype.divide;
+
+    BigInteger.prototype.mod = function (v) {
+        return divModAny(this, v)[1];
+    };
+    NativeBigInt.prototype.mod = NativeBigInt.prototype.remainder = function (v) {
+        return new NativeBigInt(this.value % parseValue(v).value);
+    };
+    SmallInteger.prototype.remainder = SmallInteger.prototype.mod = BigInteger.prototype.remainder = BigInteger.prototype.mod;
+
+    BigInteger.prototype.pow = function (v) {
+        var n = parseValue(v),
+            a = this.value,
+            b = n.value,
+            value, x, y;
+        if (b === 0) return Integer[1];
+        if (a === 0) return Integer[0];
+        if (a === 1) return Integer[1];
+        if (a === -1) return n.isEven() ? Integer[1] : Integer[-1];
+        if (n.sign) {
+            return Integer[0];
+        }
+        if (!n.isSmall) throw new Error("The exponent " + n.toString() + " is too large.");
+        if (this.isSmall) {
+            if (isPrecise(value = Math.pow(a, b)))
+                return new SmallInteger(truncate(value));
+        }
+        x = this;
+        y = Integer[1];
+        while (true) {
+            if (b & 1 === 1) {
+                y = y.times(x);
+                --b;
+            }
+            if (b === 0) break;
+            b /= 2;
+            x = x.square();
+        }
+        return y;
+    };
+    SmallInteger.prototype.pow = BigInteger.prototype.pow;
+
+    NativeBigInt.prototype.pow = function (v) {
+        var n = parseValue(v);
+        var a = this.value, b = n.value;
+        var _0 = BigInt(0), _1 = BigInt(1), _2 = BigInt(2);
+        if (b === _0) return Integer[1];
+        if (a === _0) return Integer[0];
+        if (a === _1) return Integer[1];
+        if (a === BigInt(-1)) return n.isEven() ? Integer[1] : Integer[-1];
+        if (n.isNegative()) return new NativeBigInt(_0);
+        var x = this;
+        var y = Integer[1];
+        while (true) {
+            if ((b & _1) === _1) {
+                y = y.times(x);
+                --b;
+            }
+            if (b === _0) break;
+            b /= _2;
+            x = x.square();
+        }
+        return y;
+    }
+
+    BigInteger.prototype.modPow = function (exp, mod) {
+        exp = parseValue(exp);
+        mod = parseValue(mod);
+        if (mod.isZero()) throw new Error("Cannot take modPow with modulus 0");
+        var r = Integer[1],
+            base = this.mod(mod);
+        while (exp.isPositive()) {
+            if (base.isZero()) return Integer[0];
+            if (exp.isOdd()) r = r.multiply(base).mod(mod);
+            exp = exp.divide(2);
+            base = base.square().mod(mod);
+        }
+        return r;
+    };
+    NativeBigInt.prototype.modPow = SmallInteger.prototype.modPow = BigInteger.prototype.modPow;
+
+    function compareAbs(a, b) {
+        if (a.length !== b.length) {
+            return a.length > b.length ? 1 : -1;
+        }
+        for (var i = a.length - 1; i >= 0; i--) {
+            if (a[i] !== b[i]) return a[i] > b[i] ? 1 : -1;
+        }
+        return 0;
+    }
+
+    BigInteger.prototype.compareAbs = function (v) {
+        var n = parseValue(v),
+            a = this.value,
+            b = n.value;
+        if (n.isSmall) return 1;
+        return compareAbs(a, b);
+    };
+    SmallInteger.prototype.compareAbs = function (v) {
+        var n = parseValue(v),
+            a = Math.abs(this.value),
+            b = n.value;
+        if (n.isSmall) {
+            b = Math.abs(b);
+            return a === b ? 0 : a > b ? 1 : -1;
+        }
+        return -1;
+    };
+    NativeBigInt.prototype.compareAbs = function (v) {
+        var a = this.value;
+        var b = parseValue(v).value;
+        a = a >= 0 ? a : -a;
+        b = b >= 0 ? b : -b;
+        return a === b ? 0 : a > b ? 1 : -1;
+    }
+
+    BigInteger.prototype.compare = function (v) {
+        // See discussion about comparison with Infinity:
+        // https://github.com/peterolson/BigInteger.js/issues/61
+        if (v === Infinity) {
+            return -1;
+        }
+        if (v === -Infinity) {
+            return 1;
+        }
+
+        var n = parseValue(v),
+            a = this.value,
+            b = n.value;
+        if (this.sign !== n.sign) {
+            return n.sign ? 1 : -1;
+        }
+        if (n.isSmall) {
+            return this.sign ? -1 : 1;
+        }
+        return compareAbs(a, b) * (this.sign ? -1 : 1);
+    };
+    BigInteger.prototype.compareTo = BigInteger.prototype.compare;
+
+    SmallInteger.prototype.compare = function (v) {
+        if (v === Infinity) {
+            return -1;
+        }
+        if (v === -Infinity) {
+            return 1;
+        }
+
+        var n = parseValue(v),
+            a = this.value,
+            b = n.value;
+        if (n.isSmall) {
+            return a == b ? 0 : a > b ? 1 : -1;
+        }
+        if (a < 0 !== n.sign) {
+            return a < 0 ? -1 : 1;
+        }
+        return a < 0 ? 1 : -1;
+    };
+    SmallInteger.prototype.compareTo = SmallInteger.prototype.compare;
+
+    NativeBigInt.prototype.compare = function (v) {
+        if (v === Infinity) {
+            return -1;
+        }
+        if (v === -Infinity) {
+            return 1;
+        }
+        var a = this.value;
+        var b = parseValue(v).value;
+        return a === b ? 0 : a > b ? 1 : -1;
+    }
+    NativeBigInt.prototype.compareTo = NativeBigInt.prototype.compare;
+
+    BigInteger.prototype.equals = function (v) {
+        return this.compare(v) === 0;
+    };
+    NativeBigInt.prototype.eq = NativeBigInt.prototype.equals = SmallInteger.prototype.eq = SmallInteger.prototype.equals = BigInteger.prototype.eq = BigInteger.prototype.equals;
+
+    BigInteger.prototype.notEquals = function (v) {
+        return this.compare(v) !== 0;
+    };
+    NativeBigInt.prototype.neq = NativeBigInt.prototype.notEquals = SmallInteger.prototype.neq = SmallInteger.prototype.notEquals = BigInteger.prototype.neq = BigInteger.prototype.notEquals;
+
+    BigInteger.prototype.greater = function (v) {
+        return this.compare(v) > 0;
+    };
+    NativeBigInt.prototype.gt = NativeBigInt.prototype.greater = SmallInteger.prototype.gt = SmallInteger.prototype.greater = BigInteger.prototype.gt = BigInteger.prototype.greater;
+
+    BigInteger.prototype.lesser = function (v) {
+        return this.compare(v) < 0;
+    };
+    NativeBigInt.prototype.lt = NativeBigInt.prototype.lesser = SmallInteger.prototype.lt = SmallInteger.prototype.lesser = BigInteger.prototype.lt = BigInteger.prototype.lesser;
+
+    BigInteger.prototype.greaterOrEquals = function (v) {
+        return this.compare(v) >= 0;
+    };
+    NativeBigInt.prototype.geq = NativeBigInt.prototype.greaterOrEquals = SmallInteger.prototype.geq = SmallInteger.prototype.greaterOrEquals = BigInteger.prototype.geq = BigInteger.prototype.greaterOrEquals;
+
+    BigInteger.prototype.lesserOrEquals = function (v) {
+        return this.compare(v) <= 0;
+    };
+    NativeBigInt.prototype.leq = NativeBigInt.prototype.lesserOrEquals = SmallInteger.prototype.leq = SmallInteger.prototype.lesserOrEquals = BigInteger.prototype.leq = BigInteger.prototype.lesserOrEquals;
+
+    BigInteger.prototype.isEven = function () {
+        return (this.value[0] & 1) === 0;
+    };
+    SmallInteger.prototype.isEven = function () {
+        return (this.value & 1) === 0;
+    };
+    NativeBigInt.prototype.isEven = function () {
+        return (this.value & BigInt(1)) === BigInt(0);
+    }
+
+    BigInteger.prototype.isOdd = function () {
+        return (this.value[0] & 1) === 1;
+    };
+    SmallInteger.prototype.isOdd = function () {
+        return (this.value & 1) === 1;
+    };
+    NativeBigInt.prototype.isOdd = function () {
+        return (this.value & BigInt(1)) === BigInt(1);
+    }
+
+    BigInteger.prototype.isPositive = function () {
+        return !this.sign;
+    };
+    SmallInteger.prototype.isPositive = function () {
+        return this.value > 0;
+    };
+    NativeBigInt.prototype.isPositive = SmallInteger.prototype.isPositive;
+
+    BigInteger.prototype.isNegative = function () {
+        return this.sign;
+    };
+    SmallInteger.prototype.isNegative = function () {
+        return this.value < 0;
+    };
+    NativeBigInt.prototype.isNegative = SmallInteger.prototype.isNegative;
+
+    BigInteger.prototype.isUnit = function () {
+        return false;
+    };
+    SmallInteger.prototype.isUnit = function () {
+        return Math.abs(this.value) === 1;
+    };
+    NativeBigInt.prototype.isUnit = function () {
+        return this.abs().value === BigInt(1);
+    }
+
+    BigInteger.prototype.isZero = function () {
+        return false;
+    };
+    SmallInteger.prototype.isZero = function () {
+        return this.value === 0;
+    };
+    NativeBigInt.prototype.isZero = function () {
+        return this.value === BigInt(0);
+    }
+
+    BigInteger.prototype.isDivisibleBy = function (v) {
+        var n = parseValue(v);
+        if (n.isZero()) return false;
+        if (n.isUnit()) return true;
+        if (n.compareAbs(2) === 0) return this.isEven();
+        return this.mod(n).isZero();
+    };
+    NativeBigInt.prototype.isDivisibleBy = SmallInteger.prototype.isDivisibleBy = BigInteger.prototype.isDivisibleBy;
+
+    function isBasicPrime(v) {
+        var n = v.abs();
+        if (n.isUnit()) return false;
+        if (n.equals(2) || n.equals(3) || n.equals(5)) return true;
+        if (n.isEven() || n.isDivisibleBy(3) || n.isDivisibleBy(5)) return false;
+        if (n.lesser(49)) return true;
+        // we don't know if it's prime: let the other functions figure it out
+    }
+
+    function millerRabinTest(n, a) {
+        var nPrev = n.prev(),
+            b = nPrev,
+            r = 0,
+            d, t, i, x;
+        while (b.isEven()) b = b.divide(2), r++;
+        next: for (i = 0; i < a.length; i++) {
+            if (n.lesser(a[i])) continue;
+            x = bigInt(a[i]).modPow(b, n);
+            if (x.isUnit() || x.equals(nPrev)) continue;
+            for (d = r - 1; d != 0; d--) {
+                x = x.square().mod(n);
+                if (x.isUnit()) return false;
+                if (x.equals(nPrev)) continue next;
+            }
+            return false;
+        }
+        return true;
+    }
+
+    // Set "strict" to true to force GRH-supported lower bound of 2*log(N)^2
+    BigInteger.prototype.isPrime = function (strict) {
+        var isPrime = isBasicPrime(this);
+        if (isPrime !== undefined) return isPrime;
+        var n = this.abs();
+        var bits = n.bitLength();
+        if (bits <= 64)
+            return millerRabinTest(n, [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]);
+        var logN = Math.log(2) * bits.toJSNumber();
+        var t = Math.ceil((strict === true) ? (2 * Math.pow(logN, 2)) : logN);
+        for (var a = [], i = 0; i < t; i++) {
+            a.push(bigInt(i + 2));
+        }
+        return millerRabinTest(n, a);
+    };
+    NativeBigInt.prototype.isPrime = SmallInteger.prototype.isPrime = BigInteger.prototype.isPrime;
+
+    BigInteger.prototype.isProbablePrime = function (iterations) {
+        var isPrime = isBasicPrime(this);
+        if (isPrime !== undefined) return isPrime;
+        var n = this.abs();
+        var t = iterations === undefined ? 5 : iterations;
+        for (var a = [], i = 0; i < t; i++) {
+            a.push(bigInt.randBetween(2, n.minus(2)));
+        }
+        return millerRabinTest(n, a);
+    };
+    NativeBigInt.prototype.isProbablePrime = SmallInteger.prototype.isProbablePrime = BigInteger.prototype.isProbablePrime;
+
+    BigInteger.prototype.modInv = function (n) {
+        var t = bigInt.zero, newT = bigInt.one, r = parseValue(n), newR = this.abs(), q, lastT, lastR;
+        while (!newR.isZero()) {
+            q = r.divide(newR);
+            lastT = t;
+            lastR = r;
+            t = newT;
+            r = newR;
+            newT = lastT.subtract(q.multiply(newT));
+            newR = lastR.subtract(q.multiply(newR));
+        }
+        if (!r.isUnit()) throw new Error(this.toString() + " and " + n.toString() + " are not co-prime");
+        if (t.compare(0) === -1) {
+            t = t.add(n);
+        }
+        if (this.isNegative()) {
+            return t.negate();
+        }
+        return t;
+    };
+
+    NativeBigInt.prototype.modInv = SmallInteger.prototype.modInv = BigInteger.prototype.modInv;
+
+    BigInteger.prototype.next = function () {
+        var value = this.value;
+        if (this.sign) {
+            return subtractSmall(value, 1, this.sign);
+        }
+        return new BigInteger(addSmall(value, 1), this.sign);
+    };
+    SmallInteger.prototype.next = function () {
+        var value = this.value;
+        if (value + 1 < MAX_INT) return new SmallInteger(value + 1);
+        return new BigInteger(MAX_INT_ARR, false);
+    };
+    NativeBigInt.prototype.next = function () {
+        return new NativeBigInt(this.value + BigInt(1));
+    }
+
+    BigInteger.prototype.prev = function () {
+        var value = this.value;
+        if (this.sign) {
+            return new BigInteger(addSmall(value, 1), true);
+        }
+        return subtractSmall(value, 1, this.sign);
+    };
+    SmallInteger.prototype.prev = function () {
+        var value = this.value;
+        if (value - 1 > -MAX_INT) return new SmallInteger(value - 1);
+        return new BigInteger(MAX_INT_ARR, true);
+    };
+    NativeBigInt.prototype.prev = function () {
+        return new NativeBigInt(this.value - BigInt(1));
+    }
+
+    var powersOfTwo = [1];
+    while (2 * powersOfTwo[powersOfTwo.length - 1] <= BASE) powersOfTwo.push(2 * powersOfTwo[powersOfTwo.length - 1]);
+    var powers2Length = powersOfTwo.length, highestPower2 = powersOfTwo[powers2Length - 1];
+
+    function shift_isSmall(n) {
+        return Math.abs(n) <= BASE;
+    }
+
+    BigInteger.prototype.shiftLeft = function (v) {
+        var n = parseValue(v).toJSNumber();
+        if (!shift_isSmall(n)) {
+            throw new Error(String(n) + " is too large for shifting.");
+        }
+        if (n < 0) return this.shiftRight(-n);
+        var result = this;
+        if (result.isZero()) return result;
+        while (n >= powers2Length) {
+            result = result.multiply(highestPower2);
+            n -= powers2Length - 1;
+        }
+        return result.multiply(powersOfTwo[n]);
+    };
+    NativeBigInt.prototype.shiftLeft = SmallInteger.prototype.shiftLeft = BigInteger.prototype.shiftLeft;
+
+    BigInteger.prototype.shiftRight = function (v) {
+        var remQuo;
+        var n = parseValue(v).toJSNumber();
+        if (!shift_isSmall(n)) {
+            throw new Error(String(n) + " is too large for shifting.");
+        }
+        if (n < 0) return this.shiftLeft(-n);
+        var result = this;
+        while (n >= powers2Length) {
+            if (result.isZero() || (result.isNegative() && result.isUnit())) return result;
+            remQuo = divModAny(result, highestPower2);
+            result = remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0];
+            n -= powers2Length - 1;
+        }
+        remQuo = divModAny(result, powersOfTwo[n]);
+        return remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0];
+    };
+    NativeBigInt.prototype.shiftRight = SmallInteger.prototype.shiftRight = BigInteger.prototype.shiftRight;
+
+    function bitwise(x, y, fn) {
+        y = parseValue(y);
+        var xSign = x.isNegative(), ySign = y.isNegative();
+        var xRem = xSign ? x.not() : x,
+            yRem = ySign ? y.not() : y;
+        var xDigit = 0, yDigit = 0;
+        var xDivMod = null, yDivMod = null;
+        var result = [];
+        while (!xRem.isZero() || !yRem.isZero()) {
+            xDivMod = divModAny(xRem, highestPower2);
+            xDigit = xDivMod[1].toJSNumber();
+            if (xSign) {
+                xDigit = highestPower2 - 1 - xDigit; // two's complement for negative numbers
+            }
+
+            yDivMod = divModAny(yRem, highestPower2);
+            yDigit = yDivMod[1].toJSNumber();
+            if (ySign) {
+                yDigit = highestPower2 - 1 - yDigit; // two's complement for negative numbers
+            }
+
+            xRem = xDivMod[0];
+            yRem = yDivMod[0];
+            result.push(fn(xDigit, yDigit));
+        }
+        var sum = fn(xSign ? 1 : 0, ySign ? 1 : 0) !== 0 ? bigInt(-1) : bigInt(0);
+        for (var i = result.length - 1; i >= 0; i -= 1) {
+            sum = sum.multiply(highestPower2).add(bigInt(result[i]));
+        }
+        return sum;
+    }
+
+    BigInteger.prototype.not = function () {
+        return this.negate().prev();
+    };
+    NativeBigInt.prototype.not = SmallInteger.prototype.not = BigInteger.prototype.not;
+
+    BigInteger.prototype.and = function (n) {
+        return bitwise(this, n, function (a, b) { return a & b; });
+    };
+    NativeBigInt.prototype.and = SmallInteger.prototype.and = BigInteger.prototype.and;
+
+    BigInteger.prototype.or = function (n) {
+        return bitwise(this, n, function (a, b) { return a | b; });
+    };
+    NativeBigInt.prototype.or = SmallInteger.prototype.or = BigInteger.prototype.or;
+
+    BigInteger.prototype.xor = function (n) {
+        return bitwise(this, n, function (a, b) { return a ^ b; });
+    };
+    NativeBigInt.prototype.xor = SmallInteger.prototype.xor = BigInteger.prototype.xor;
+
+    var LOBMASK_I = 1 << 30, LOBMASK_BI = (BASE & -BASE) * (BASE & -BASE) | LOBMASK_I;
+    function roughLOB(n) { // get lowestOneBit (rough)
+        // SmallInteger: return Min(lowestOneBit(n), 1 << 30)
+        // BigInteger: return Min(lowestOneBit(n), 1 << 14) [BASE=1e7]
+        var v = n.value,
+            x = typeof v === "number" ? v | LOBMASK_I :
+                typeof v === "bigint" ? v | BigInt(LOBMASK_I) :
+                    v[0] + v[1] * BASE | LOBMASK_BI;
+        return x & -x;
+    }
+
+    function integerLogarithm(value, base) {
+        if (base.compareTo(value) <= 0) {
+            var tmp = integerLogarithm(value, base.square(base));
+            var p = tmp.p;
+            var e = tmp.e;
+            var t = p.multiply(base);
+            return t.compareTo(value) <= 0 ? { p: t, e: e * 2 + 1 } : { p: p, e: e * 2 };
+        }
+        return { p: bigInt(1), e: 0 };
+    }
+
+    BigInteger.prototype.bitLength = function () {
+        var n = this;
+        if (n.compareTo(bigInt(0)) < 0) {
+            n = n.negate().subtract(bigInt(1));
+        }
+        if (n.compareTo(bigInt(0)) === 0) {
+            return bigInt(0);
+        }
+        return bigInt(integerLogarithm(n, bigInt(2)).e).add(bigInt(1));
+    }
+    NativeBigInt.prototype.bitLength = SmallInteger.prototype.bitLength = BigInteger.prototype.bitLength;
+
+    function max(a, b) {
+        a = parseValue(a);
+        b = parseValue(b);
+        return a.greater(b) ? a : b;
+    }
+    function min(a, b) {
+        a = parseValue(a);
+        b = parseValue(b);
+        return a.lesser(b) ? a : b;
+    }
+    function gcd(a, b) {
+        a = parseValue(a).abs();
+        b = parseValue(b).abs();
+        if (a.equals(b)) return a;
+        if (a.isZero()) return b;
+        if (b.isZero()) return a;
+        var c = Integer[1], d, t;
+        while (a.isEven() && b.isEven()) {
+            d = min(roughLOB(a), roughLOB(b));
+            a = a.divide(d);
+            b = b.divide(d);
+            c = c.multiply(d);
+        }
+        while (a.isEven()) {
+            a = a.divide(roughLOB(a));
+        }
+        do {
+            while (b.isEven()) {
+                b = b.divide(roughLOB(b));
+            }
+            if (a.greater(b)) {
+                t = b; b = a; a = t;
+            }
+            b = b.subtract(a);
+        } while (!b.isZero());
+        return c.isUnit() ? a : a.multiply(c);
+    }
+    function lcm(a, b) {
+        a = parseValue(a).abs();
+        b = parseValue(b).abs();
+        return a.divide(gcd(a, b)).multiply(b);
+    }
+    function randBetween(a, b) {
+        a = parseValue(a);
+        b = parseValue(b);
+        var low = min(a, b), high = max(a, b);
+        var range = high.subtract(low).add(1);
+        if (range.isSmall) return low.add(Math.floor(Math.random() * range));
+        var digits = toBase(range, BASE).value;
+        var result = [], restricted = true;
+        for (var i = 0; i < digits.length; i++) {
+            var top = restricted ? digits[i] : BASE;
+            var digit = truncate(Math.random() * top);
+            result.push(digit);
+            if (digit < top) restricted = false;
+        }
+        return low.add(Integer.fromArray(result, BASE, false));
+    }
+
+    var parseBase = function (text, base, alphabet, caseSensitive) {
+        alphabet = alphabet || DEFAULT_ALPHABET;
+        text = String(text);
+        if (!caseSensitive) {
+            text = text.toLowerCase();
+            alphabet = alphabet.toLowerCase();
+        }
+        var length = text.length;
+        var i;
+        var absBase = Math.abs(base);
+        var alphabetValues = {};
+        for (i = 0; i < alphabet.length; i++) {
+            alphabetValues[alphabet[i]] = i;
+        }
+        for (i = 0; i < length; i++) {
+            var c = text[i];
+            if (c === "-") continue;
+            if (c in alphabetValues) {
+                if (alphabetValues[c] >= absBase) {
+                    if (c === "1" && absBase === 1) continue;
+                    throw new Error(c + " is not a valid digit in base " + base + ".");
+                }
+            }
+        }
+        base = parseValue(base);
+        var digits = [];
+        var isNegative = text[0] === "-";
+        for (i = isNegative ? 1 : 0; i < text.length; i++) {
+            var c = text[i];
+            if (c in alphabetValues) digits.push(parseValue(alphabetValues[c]));
+            else if (c === "<") {
+                var start = i;
+                do { i++; } while (text[i] !== ">" && i < text.length);
+                digits.push(parseValue(text.slice(start + 1, i)));
+            }
+            else throw new Error(c + " is not a valid character");
+        }
+        return parseBaseFromArray(digits, base, isNegative);
+    };
+
+    function parseBaseFromArray(digits, base, isNegative) {
+        var val = Integer[0], pow = Integer[1], i;
+        for (i = digits.length - 1; i >= 0; i--) {
+            val = val.add(digits[i].times(pow));
+            pow = pow.times(base);
+        }
+        return isNegative ? val.negate() : val;
+    }
+
+    function stringify(digit, alphabet) {
+        alphabet = alphabet || DEFAULT_ALPHABET;
+        if (digit < alphabet.length) {
+            return alphabet[digit];
+        }
+        return "<" + digit + ">";
+    }
+
+    function toBase(n, base) {
+        base = bigInt(base);
+        if (base.isZero()) {
+            if (n.isZero()) return { value: [0], isNegative: false };
+            throw new Error("Cannot convert nonzero numbers to base 0.");
+        }
+        if (base.equals(-1)) {
+            if (n.isZero()) return { value: [0], isNegative: false };
+            if (n.isNegative())
+                return {
+                    value: [].concat.apply([], Array.apply(null, Array(-n.toJSNumber()))
+                        .map(Array.prototype.valueOf, [1, 0])
+                    ),
+                    isNegative: false
+                };
+
+            var arr = Array.apply(null, Array(n.toJSNumber() - 1))
+                .map(Array.prototype.valueOf, [0, 1]);
+            arr.unshift([1]);
+            return {
+                value: [].concat.apply([], arr),
+                isNegative: false
+            };
+        }
+
+        var neg = false;
+        if (n.isNegative() && base.isPositive()) {
+            neg = true;
+            n = n.abs();
+        }
+        if (base.isUnit()) {
+            if (n.isZero()) return { value: [0], isNegative: false };
+
+            return {
+                value: Array.apply(null, Array(n.toJSNumber()))
+                    .map(Number.prototype.valueOf, 1),
+                isNegative: neg
+            };
+        }
+        var out = [];
+        var left = n, divmod;
+        while (left.isNegative() || left.compareAbs(base) >= 0) {
+            divmod = left.divmod(base);
+            left = divmod.quotient;
+            var digit = divmod.remainder;
+            if (digit.isNegative()) {
+                digit = base.minus(digit).abs();
+                left = left.next();
+            }
+            out.push(digit.toJSNumber());
+        }
+        out.push(left.toJSNumber());
+        return { value: out.reverse(), isNegative: neg };
+    }
+
+    function toBaseString(n, base, alphabet) {
+        var arr = toBase(n, base);
+        return (arr.isNegative ? "-" : "") + arr.value.map(function (x) {
+            return stringify(x, alphabet);
+        }).join('');
+    }
+
+    BigInteger.prototype.toArray = function (radix) {
+        return toBase(this, radix);
+    };
+
+    SmallInteger.prototype.toArray = function (radix) {
+        return toBase(this, radix);
+    };
+
+    NativeBigInt.prototype.toArray = function (radix) {
+        return toBase(this, radix);
+    };
+
+    BigInteger.prototype.toString = function (radix, alphabet) {
+        if (radix === undefined) radix = 10;
+        if (radix !== 10) return toBaseString(this, radix, alphabet);
+        var v = this.value, l = v.length, str = String(v[--l]), zeros = "0000000", digit;
+        while (--l >= 0) {
+            digit = String(v[l]);
+            str += zeros.slice(digit.length) + digit;
+        }
+        var sign = this.sign ? "-" : "";
+        return sign + str;
+    };
+
+    SmallInteger.prototype.toString = function (radix, alphabet) {
+        if (radix === undefined) radix = 10;
+        if (radix != 10) return toBaseString(this, radix, alphabet);
+        return String(this.value);
+    };
+
+    NativeBigInt.prototype.toString = SmallInteger.prototype.toString;
+
+    NativeBigInt.prototype.toJSON = BigInteger.prototype.toJSON = SmallInteger.prototype.toJSON = function () { return this.toString(); }
+
+    BigInteger.prototype.valueOf = function () {
+        return parseInt(this.toString(), 10);
+    };
+    BigInteger.prototype.toJSNumber = BigInteger.prototype.valueOf;
+
+    SmallInteger.prototype.valueOf = function () {
+        return this.value;
+    };
+    SmallInteger.prototype.toJSNumber = SmallInteger.prototype.valueOf;
+    NativeBigInt.prototype.valueOf = NativeBigInt.prototype.toJSNumber = function () {
+        return parseInt(this.toString(), 10);
+    }
+
+    function parseStringValue(v) {
+        if (isPrecise(+v)) {
+            var x = +v;
+            if (x === truncate(x))
+                return supportsNativeBigInt ? new NativeBigInt(BigInt(x)) : new SmallInteger(x);
+            throw new Error("Invalid integer: " + v);
+        }
+        var sign = v[0] === "-";
+        if (sign) v = v.slice(1);
+        var split = v.split(/e/i);
+        if (split.length > 2) throw new Error("Invalid integer: " + split.join("e"));
+        if (split.length === 2) {
+            var exp = split[1];
+            if (exp[0] === "+") exp = exp.slice(1);
+            exp = +exp;
+            if (exp !== truncate(exp) || !isPrecise(exp)) throw new Error("Invalid integer: " + exp + " is not a valid exponent.");
+            var text = split[0];
+            var decimalPlace = text.indexOf(".");
+            if (decimalPlace >= 0) {
+                exp -= text.length - decimalPlace - 1;
+                text = text.slice(0, decimalPlace) + text.slice(decimalPlace + 1);
+            }
+            if (exp < 0) throw new Error("Cannot include negative exponent part for integers");
+            text += (new Array(exp + 1)).join("0");
+            v = text;
+        }
+        var isValid = /^([0-9][0-9]*)$/.test(v);
+        if (!isValid) throw new Error("Invalid integer: " + v);
+        if (supportsNativeBigInt) {
+            return new NativeBigInt(BigInt(sign ? "-" + v : v));
+        }
+        var r = [], max = v.length, l = LOG_BASE, min = max - l;
+        while (max > 0) {
+            r.push(+v.slice(min, max));
+            min -= l;
+            if (min < 0) min = 0;
+            max -= l;
+        }
+        trim(r);
+        return new BigInteger(r, sign);
+    }
+
+    function parseNumberValue(v) {
+        if (supportsNativeBigInt) {
+            return new NativeBigInt(BigInt(v));
+        }
+        if (isPrecise(v)) {
+            if (v !== truncate(v)) throw new Error(v + " is not an integer.");
+            return new SmallInteger(v);
+        }
+        return parseStringValue(v.toString());
+    }
+
+    function parseValue(v) {
+        if (typeof v === "number") {
+            return parseNumberValue(v);
+        }
+        if (typeof v === "string") {
+            return parseStringValue(v);
+        }
+        if (typeof v === "bigint") {
+            return new NativeBigInt(v);
+        }
+        return v;
+    }
+    // Pre-define numbers in range [-999,999]
+    for (var i = 0; i < 1000; i++) {
+        Integer[i] = parseValue(i);
+        if (i > 0) Integer[-i] = parseValue(-i);
+    }
+    // Backwards compatibility
+    Integer.one = Integer[1];
+    Integer.zero = Integer[0];
+    Integer.minusOne = Integer[-1];
+    Integer.max = max;
+    Integer.min = min;
+    Integer.gcd = gcd;
+    Integer.lcm = lcm;
+    Integer.isInstance = function (x) { return x instanceof BigInteger || x instanceof SmallInteger || x instanceof NativeBigInt; };
+    Integer.randBetween = randBetween;
+
+    Integer.fromArray = function (digits, base, isNegative) {
+        return parseBaseFromArray(digits.map(parseValue), parseValue(base || 10), isNegative);
+    };
+
+    return Integer;
+})();
+
+// Node.js check
+if ( true && module.hasOwnProperty("exports")) {
+    module.exports = bigInt;
+}
+
+//amd check
+if (true) {
+    !(__WEBPACK_AMD_DEFINE_ARRAY__ = [], __WEBPACK_AMD_DEFINE_RESULT__ = (function () {
+        return bigInt;
     }).apply(exports, __WEBPACK_AMD_DEFINE_ARRAY__),
-		__WEBPACK_AMD_DEFINE_RESULT__ !== undefined && (module.exports = __WEBPACK_AMD_DEFINE_RESULT__));
-}
+		__WEBPACK_AMD_DEFINE_RESULT__ !== undefined && (module.exports = __WEBPACK_AMD_DEFINE_RESULT__));
+}
 
 
 /***/ }),
@@ -27200,1460 +27200,1460 @@ function fromByteArray (uint8) {
 /***/ ((module, exports, __webpack_require__) => {
 
 /* module decorator */ module = __webpack_require__.nmd(module);
-var __WEBPACK_AMD_DEFINE_RESULT__;var bigInt = (function (undefined) {
-    "use strict";
-
-    var BASE = 1e7,
-        LOG_BASE = 7,
-        MAX_INT = 9007199254740992,
-        MAX_INT_ARR = smallToArray(MAX_INT),
-        DEFAULT_ALPHABET = "0123456789abcdefghijklmnopqrstuvwxyz";
-
-    var supportsNativeBigInt = typeof BigInt === "function";
-
-    function Integer(v, radix, alphabet, caseSensitive) {
-        if (typeof v === "undefined") return Integer[0];
-        if (typeof radix !== "undefined") return +radix === 10 && !alphabet ? parseValue(v) : parseBase(v, radix, alphabet, caseSensitive);
-        return parseValue(v);
-    }
-
-    function BigInteger(value, sign) {
-        this.value = value;
-        this.sign = sign;
-        this.isSmall = false;
-    }
-    BigInteger.prototype = Object.create(Integer.prototype);
-
-    function SmallInteger(value) {
-        this.value = value;
-        this.sign = value < 0;
-        this.isSmall = true;
-    }
-    SmallInteger.prototype = Object.create(Integer.prototype);
-
-    function NativeBigInt(value) {
-        this.value = value;
-    }
-    NativeBigInt.prototype = Object.create(Integer.prototype);
-
-    function isPrecise(n) {
-        return -MAX_INT < n && n < MAX_INT;
-    }
-
-    function smallToArray(n) { // For performance reasons doesn't reference BASE, need to change this function if BASE changes
-        if (n < 1e7)
-            return [n];
-        if (n < 1e14)
-            return [n % 1e7, Math.floor(n / 1e7)];
-        return [n % 1e7, Math.floor(n / 1e7) % 1e7, Math.floor(n / 1e14)];
-    }
-
-    function arrayToSmall(arr) { // If BASE changes this function may need to change
-        trim(arr);
-        var length = arr.length;
-        if (length < 4 && compareAbs(arr, MAX_INT_ARR) < 0) {
-            switch (length) {
-                case 0: return 0;
-                case 1: return arr[0];
-                case 2: return arr[0] + arr[1] * BASE;
-                default: return arr[0] + (arr[1] + arr[2] * BASE) * BASE;
-            }
-        }
-        return arr;
-    }
-
-    function trim(v) {
-        var i = v.length;
-        while (v[--i] === 0);
-        v.length = i + 1;
-    }
-
-    function createArray(length) { // function shamelessly stolen from Yaffle's library https://github.com/Yaffle/BigInteger
-        var x = new Array(length);
-        var i = -1;
-        while (++i < length) {
-            x[i] = 0;
-        }
-        return x;
-    }
-
-    function truncate(n) {
-        if (n > 0) return Math.floor(n);
-        return Math.ceil(n);
-    }
-
-    function add(a, b) { // assumes a and b are arrays with a.length >= b.length
-        var l_a = a.length,
-            l_b = b.length,
-            r = new Array(l_a),
-            carry = 0,
-            base = BASE,
-            sum, i;
-        for (i = 0; i < l_b; i++) {
-            sum = a[i] + b[i] + carry;
-            carry = sum >= base ? 1 : 0;
-            r[i] = sum - carry * base;
-        }
-        while (i < l_a) {
-            sum = a[i] + carry;
-            carry = sum === base ? 1 : 0;
-            r[i++] = sum - carry * base;
-        }
-        if (carry > 0) r.push(carry);
-        return r;
-    }
-
-    function addAny(a, b) {
-        if (a.length >= b.length) return add(a, b);
-        return add(b, a);
-    }
-
-    function addSmall(a, carry) { // assumes a is array, carry is number with 0 <= carry < MAX_INT
-        var l = a.length,
-            r = new Array(l),
-            base = BASE,
-            sum, i;
-        for (i = 0; i < l; i++) {
-            sum = a[i] - base + carry;
-            carry = Math.floor(sum / base);
-            r[i] = sum - carry * base;
-            carry += 1;
-        }
-        while (carry > 0) {
-            r[i++] = carry % base;
-            carry = Math.floor(carry / base);
-        }
-        return r;
-    }
-
-    BigInteger.prototype.add = function (v) {
-        var n = parseValue(v);
-        if (this.sign !== n.sign) {
-            return this.subtract(n.negate());
-        }
-        var a = this.value, b = n.value;
-        if (n.isSmall) {
-            return new BigInteger(addSmall(a, Math.abs(b)), this.sign);
-        }
-        return new BigInteger(addAny(a, b), this.sign);
-    };
-    BigInteger.prototype.plus = BigInteger.prototype.add;
-
-    SmallInteger.prototype.add = function (v) {
-        var n = parseValue(v);
-        var a = this.value;
-        if (a < 0 !== n.sign) {
-            return this.subtract(n.negate());
-        }
-        var b = n.value;
-        if (n.isSmall) {
-            if (isPrecise(a + b)) return new SmallInteger(a + b);
-            b = smallToArray(Math.abs(b));
-        }
-        return new BigInteger(addSmall(b, Math.abs(a)), a < 0);
-    };
-    SmallInteger.prototype.plus = SmallInteger.prototype.add;
-
-    NativeBigInt.prototype.add = function (v) {
-        return new NativeBigInt(this.value + parseValue(v).value);
-    }
-    NativeBigInt.prototype.plus = NativeBigInt.prototype.add;
-
-    function subtract(a, b) { // assumes a and b are arrays with a >= b
-        var a_l = a.length,
-            b_l = b.length,
-            r = new Array(a_l),
-            borrow = 0,
-            base = BASE,
-            i, difference;
-        for (i = 0; i < b_l; i++) {
-            difference = a[i] - borrow - b[i];
-            if (difference < 0) {
-                difference += base;
-                borrow = 1;
-            } else borrow = 0;
-            r[i] = difference;
-        }
-        for (i = b_l; i < a_l; i++) {
-            difference = a[i] - borrow;
-            if (difference < 0) difference += base;
-            else {
-                r[i++] = difference;
-                break;
-            }
-            r[i] = difference;
-        }
-        for (; i < a_l; i++) {
-            r[i] = a[i];
-        }
-        trim(r);
-        return r;
-    }
-
-    function subtractAny(a, b, sign) {
-        var value;
-        if (compareAbs(a, b) >= 0) {
-            value = subtract(a, b);
-        } else {
-            value = subtract(b, a);
-            sign = !sign;
-        }
-        value = arrayToSmall(value);
-        if (typeof value === "number") {
-            if (sign) value = -value;
-            return new SmallInteger(value);
-        }
-        return new BigInteger(value, sign);
-    }
-
-    function subtractSmall(a, b, sign) { // assumes a is array, b is number with 0 <= b < MAX_INT
-        var l = a.length,
-            r = new Array(l),
-            carry = -b,
-            base = BASE,
-            i, difference;
-        for (i = 0; i < l; i++) {
-            difference = a[i] + carry;
-            carry = Math.floor(difference / base);
-            difference %= base;
-            r[i] = difference < 0 ? difference + base : difference;
-        }
-        r = arrayToSmall(r);
-        if (typeof r === "number") {
-            if (sign) r = -r;
-            return new SmallInteger(r);
-        } return new BigInteger(r, sign);
-    }
-
-    BigInteger.prototype.subtract = function (v) {
-        var n = parseValue(v);
-        if (this.sign !== n.sign) {
-            return this.add(n.negate());
-        }
-        var a = this.value, b = n.value;
-        if (n.isSmall)
-            return subtractSmall(a, Math.abs(b), this.sign);
-        return subtractAny(a, b, this.sign);
-    };
-    BigInteger.prototype.minus = BigInteger.prototype.subtract;
-
-    SmallInteger.prototype.subtract = function (v) {
-        var n = parseValue(v);
-        var a = this.value;
-        if (a < 0 !== n.sign) {
-            return this.add(n.negate());
-        }
-        var b = n.value;
-        if (n.isSmall) {
-            return new SmallInteger(a - b);
-        }
-        return subtractSmall(b, Math.abs(a), a >= 0);
-    };
-    SmallInteger.prototype.minus = SmallInteger.prototype.subtract;
-
-    NativeBigInt.prototype.subtract = function (v) {
-        return new NativeBigInt(this.value - parseValue(v).value);
-    }
-    NativeBigInt.prototype.minus = NativeBigInt.prototype.subtract;
-
-    BigInteger.prototype.negate = function () {
-        return new BigInteger(this.value, !this.sign);
-    };
-    SmallInteger.prototype.negate = function () {
-        var sign = this.sign;
-        var small = new SmallInteger(-this.value);
-        small.sign = !sign;
-        return small;
-    };
-    NativeBigInt.prototype.negate = function () {
-        return new NativeBigInt(-this.value);
-    }
-
-    BigInteger.prototype.abs = function () {
-        return new BigInteger(this.value, false);
-    };
-    SmallInteger.prototype.abs = function () {
-        return new SmallInteger(Math.abs(this.value));
-    };
-    NativeBigInt.prototype.abs = function () {
-        return new NativeBigInt(this.value >= 0 ? this.value : -this.value);
-    }
-
-
-    function multiplyLong(a, b) {
-        var a_l = a.length,
-            b_l = b.length,
-            l = a_l + b_l,
-            r = createArray(l),
-            base = BASE,
-            product, carry, i, a_i, b_j;
-        for (i = 0; i < a_l; ++i) {
-            a_i = a[i];
-            for (var j = 0; j < b_l; ++j) {
-                b_j = b[j];
-                product = a_i * b_j + r[i + j];
-                carry = Math.floor(product / base);
-                r[i + j] = product - carry * base;
-                r[i + j + 1] += carry;
-            }
-        }
-        trim(r);
-        return r;
-    }
-
-    function multiplySmall(a, b) { // assumes a is array, b is number with |b| < BASE
-        var l = a.length,
-            r = new Array(l),
-            base = BASE,
-            carry = 0,
-            product, i;
-        for (i = 0; i < l; i++) {
-            product = a[i] * b + carry;
-            carry = Math.floor(product / base);
-            r[i] = product - carry * base;
-        }
-        while (carry > 0) {
-            r[i++] = carry % base;
-            carry = Math.floor(carry / base);
-        }
-        return r;
-    }
-
-    function shiftLeft(x, n) {
-        var r = [];
-        while (n-- > 0) r.push(0);
-        return r.concat(x);
-    }
-
-    function multiplyKaratsuba(x, y) {
-        var n = Math.max(x.length, y.length);
-
-        if (n <= 30) return multiplyLong(x, y);
-        n = Math.ceil(n / 2);
-
-        var b = x.slice(n),
-            a = x.slice(0, n),
-            d = y.slice(n),
-            c = y.slice(0, n);
-
-        var ac = multiplyKaratsuba(a, c),
-            bd = multiplyKaratsuba(b, d),
-            abcd = multiplyKaratsuba(addAny(a, b), addAny(c, d));
-
-        var product = addAny(addAny(ac, shiftLeft(subtract(subtract(abcd, ac), bd), n)), shiftLeft(bd, 2 * n));
-        trim(product);
-        return product;
-    }
-
-    // The following function is derived from a surface fit of a graph plotting the performance difference
-    // between long multiplication and karatsuba multiplication versus the lengths of the two arrays.
-    function useKaratsuba(l1, l2) {
-        return -0.012 * l1 - 0.012 * l2 + 0.000015 * l1 * l2 > 0;
-    }
-
-    BigInteger.prototype.multiply = function (v) {
-        var n = parseValue(v),
-            a = this.value, b = n.value,
-            sign = this.sign !== n.sign,
-            abs;
-        if (n.isSmall) {
-            if (b === 0) return Integer[0];
-            if (b === 1) return this;
-            if (b === -1) return this.negate();
-            abs = Math.abs(b);
-            if (abs < BASE) {
-                return new BigInteger(multiplySmall(a, abs), sign);
-            }
-            b = smallToArray(abs);
-        }
-        if (useKaratsuba(a.length, b.length)) // Karatsuba is only faster for certain array sizes
-            return new BigInteger(multiplyKaratsuba(a, b), sign);
-        return new BigInteger(multiplyLong(a, b), sign);
-    };
-
-    BigInteger.prototype.times = BigInteger.prototype.multiply;
-
-    function multiplySmallAndArray(a, b, sign) { // a >= 0
-        if (a < BASE) {
-            return new BigInteger(multiplySmall(b, a), sign);
-        }
-        return new BigInteger(multiplyLong(b, smallToArray(a)), sign);
-    }
-    SmallInteger.prototype._multiplyBySmall = function (a) {
-        if (isPrecise(a.value * this.value)) {
-            return new SmallInteger(a.value * this.value);
-        }
-        return multiplySmallAndArray(Math.abs(a.value), smallToArray(Math.abs(this.value)), this.sign !== a.sign);
-    };
-    BigInteger.prototype._multiplyBySmall = function (a) {
-        if (a.value === 0) return Integer[0];
-        if (a.value === 1) return this;
-        if (a.value === -1) return this.negate();
-        return multiplySmallAndArray(Math.abs(a.value), this.value, this.sign !== a.sign);
-    };
-    SmallInteger.prototype.multiply = function (v) {
-        return parseValue(v)._multiplyBySmall(this);
-    };
-    SmallInteger.prototype.times = SmallInteger.prototype.multiply;
-
-    NativeBigInt.prototype.multiply = function (v) {
-        return new NativeBigInt(this.value * parseValue(v).value);
-    }
-    NativeBigInt.prototype.times = NativeBigInt.prototype.multiply;
-
-    function square(a) {
-        //console.assert(2 * BASE * BASE < MAX_INT);
-        var l = a.length,
-            r = createArray(l + l),
-            base = BASE,
-            product, carry, i, a_i, a_j;
-        for (i = 0; i < l; i++) {
-            a_i = a[i];
-            carry = 0 - a_i * a_i;
-            for (var j = i; j < l; j++) {
-                a_j = a[j];
-                product = 2 * (a_i * a_j) + r[i + j] + carry;
-                carry = Math.floor(product / base);
-                r[i + j] = product - carry * base;
-            }
-            r[i + l] = carry;
-        }
-        trim(r);
-        return r;
-    }
-
-    BigInteger.prototype.square = function () {
-        return new BigInteger(square(this.value), false);
-    };
-
-    SmallInteger.prototype.square = function () {
-        var value = this.value * this.value;
-        if (isPrecise(value)) return new SmallInteger(value);
-        return new BigInteger(square(smallToArray(Math.abs(this.value))), false);
-    };
-
-    NativeBigInt.prototype.square = function (v) {
-        return new NativeBigInt(this.value * this.value);
-    }
-
-    function divMod1(a, b) { // Left over from previous version. Performs faster than divMod2 on smaller input sizes.
-        var a_l = a.length,
-            b_l = b.length,
-            base = BASE,
-            result = createArray(b.length),
-            divisorMostSignificantDigit = b[b_l - 1],
-            // normalization
-            lambda = Math.ceil(base / (2 * divisorMostSignificantDigit)),
-            remainder = multiplySmall(a, lambda),
-            divisor = multiplySmall(b, lambda),
-            quotientDigit, shift, carry, borrow, i, l, q;
-        if (remainder.length <= a_l) remainder.push(0);
-        divisor.push(0);
-        divisorMostSignificantDigit = divisor[b_l - 1];
-        for (shift = a_l - b_l; shift >= 0; shift--) {
-            quotientDigit = base - 1;
-            if (remainder[shift + b_l] !== divisorMostSignificantDigit) {
-                quotientDigit = Math.floor((remainder[shift + b_l] * base + remainder[shift + b_l - 1]) / divisorMostSignificantDigit);
-            }
-            // quotientDigit <= base - 1
-            carry = 0;
-            borrow = 0;
-            l = divisor.length;
-            for (i = 0; i < l; i++) {
-                carry += quotientDigit * divisor[i];
-                q = Math.floor(carry / base);
-                borrow += remainder[shift + i] - (carry - q * base);
-                carry = q;
-                if (borrow < 0) {
-                    remainder[shift + i] = borrow + base;
-                    borrow = -1;
-                } else {
-                    remainder[shift + i] = borrow;
-                    borrow = 0;
-                }
-            }
-            while (borrow !== 0) {
-                quotientDigit -= 1;
-                carry = 0;
-                for (i = 0; i < l; i++) {
-                    carry += remainder[shift + i] - base + divisor[i];
-                    if (carry < 0) {
-                        remainder[shift + i] = carry + base;
-                        carry = 0;
-                    } else {
-                        remainder[shift + i] = carry;
-                        carry = 1;
-                    }
-                }
-                borrow += carry;
-            }
-            result[shift] = quotientDigit;
-        }
-        // denormalization
-        remainder = divModSmall(remainder, lambda)[0];
-        return [arrayToSmall(result), arrayToSmall(remainder)];
-    }
-
-    function divMod2(a, b) { // Implementation idea shamelessly stolen from Silent Matt's library http://silentmatt.com/biginteger/
-        // Performs faster than divMod1 on larger input sizes.
-        var a_l = a.length,
-            b_l = b.length,
-            result = [],
-            part = [],
-            base = BASE,
-            guess, xlen, highx, highy, check;
-        while (a_l) {
-            part.unshift(a[--a_l]);
-            trim(part);
-            if (compareAbs(part, b) < 0) {
-                result.push(0);
-                continue;
-            }
-            xlen = part.length;
-            highx = part[xlen - 1] * base + part[xlen - 2];
-            highy = b[b_l - 1] * base + b[b_l - 2];
-            if (xlen > b_l) {
-                highx = (highx + 1) * base;
-            }
-            guess = Math.ceil(highx / highy);
-            do {
-                check = multiplySmall(b, guess);
-                if (compareAbs(check, part) <= 0) break;
-                guess--;
-            } while (guess);
-            result.push(guess);
-            part = subtract(part, check);
-        }
-        result.reverse();
-        return [arrayToSmall(result), arrayToSmall(part)];
-    }
-
-    function divModSmall(value, lambda) {
-        var length = value.length,
-            quotient = createArray(length),
-            base = BASE,
-            i, q, remainder, divisor;
-        remainder = 0;
-        for (i = length - 1; i >= 0; --i) {
-            divisor = remainder * base + value[i];
-            q = truncate(divisor / lambda);
-            remainder = divisor - q * lambda;
-            quotient[i] = q | 0;
-        }
-        return [quotient, remainder | 0];
-    }
-
-    function divModAny(self, v) {
-        var value, n = parseValue(v);
-        if (supportsNativeBigInt) {
-            return [new NativeBigInt(self.value / n.value), new NativeBigInt(self.value % n.value)];
-        }
-        var a = self.value, b = n.value;
-        var quotient;
-        if (b === 0) throw new Error("Cannot divide by zero");
-        if (self.isSmall) {
-            if (n.isSmall) {
-                return [new SmallInteger(truncate(a / b)), new SmallInteger(a % b)];
-            }
-            return [Integer[0], self];
-        }
-        if (n.isSmall) {
-            if (b === 1) return [self, Integer[0]];
-            if (b == -1) return [self.negate(), Integer[0]];
-            var abs = Math.abs(b);
-            if (abs < BASE) {
-                value = divModSmall(a, abs);
-                quotient = arrayToSmall(value[0]);
-                var remainder = value[1];
-                if (self.sign) remainder = -remainder;
-                if (typeof quotient === "number") {
-                    if (self.sign !== n.sign) quotient = -quotient;
-                    return [new SmallInteger(quotient), new SmallInteger(remainder)];
-                }
-                return [new BigInteger(quotient, self.sign !== n.sign), new SmallInteger(remainder)];
-            }
-            b = smallToArray(abs);
-        }
-        var comparison = compareAbs(a, b);
-        if (comparison === -1) return [Integer[0], self];
-        if (comparison === 0) return [Integer[self.sign === n.sign ? 1 : -1], Integer[0]];
-
-        // divMod1 is faster on smaller input sizes
-        if (a.length + b.length <= 200)
-            value = divMod1(a, b);
-        else value = divMod2(a, b);
-
-        quotient = value[0];
-        var qSign = self.sign !== n.sign,
-            mod = value[1],
-            mSign = self.sign;
-        if (typeof quotient === "number") {
-            if (qSign) quotient = -quotient;
-            quotient = new SmallInteger(quotient);
-        } else quotient = new BigInteger(quotient, qSign);
-        if (typeof mod === "number") {
-            if (mSign) mod = -mod;
-            mod = new SmallInteger(mod);
-        } else mod = new BigInteger(mod, mSign);
-        return [quotient, mod];
-    }
-
-    BigInteger.prototype.divmod = function (v) {
-        var result = divModAny(this, v);
-        return {
-            quotient: result[0],
-            remainder: result[1]
-        };
-    };
-    NativeBigInt.prototype.divmod = SmallInteger.prototype.divmod = BigInteger.prototype.divmod;
-
-
-    BigInteger.prototype.divide = function (v) {
-        return divModAny(this, v)[0];
-    };
-    NativeBigInt.prototype.over = NativeBigInt.prototype.divide = function (v) {
-        return new NativeBigInt(this.value / parseValue(v).value);
-    };
-    SmallInteger.prototype.over = SmallInteger.prototype.divide = BigInteger.prototype.over = BigInteger.prototype.divide;
-
-    BigInteger.prototype.mod = function (v) {
-        return divModAny(this, v)[1];
-    };
-    NativeBigInt.prototype.mod = NativeBigInt.prototype.remainder = function (v) {
-        return new NativeBigInt(this.value % parseValue(v).value);
-    };
-    SmallInteger.prototype.remainder = SmallInteger.prototype.mod = BigInteger.prototype.remainder = BigInteger.prototype.mod;
-
-    BigInteger.prototype.pow = function (v) {
-        var n = parseValue(v),
-            a = this.value,
-            b = n.value,
-            value, x, y;
-        if (b === 0) return Integer[1];
-        if (a === 0) return Integer[0];
-        if (a === 1) return Integer[1];
-        if (a === -1) return n.isEven() ? Integer[1] : Integer[-1];
-        if (n.sign) {
-            return Integer[0];
-        }
-        if (!n.isSmall) throw new Error("The exponent " + n.toString() + " is too large.");
-        if (this.isSmall) {
-            if (isPrecise(value = Math.pow(a, b)))
-                return new SmallInteger(truncate(value));
-        }
-        x = this;
-        y = Integer[1];
-        while (true) {
-            if (b & 1 === 1) {
-                y = y.times(x);
-                --b;
-            }
-            if (b === 0) break;
-            b /= 2;
-            x = x.square();
-        }
-        return y;
-    };
-    SmallInteger.prototype.pow = BigInteger.prototype.pow;
-
-    NativeBigInt.prototype.pow = function (v) {
-        var n = parseValue(v);
-        var a = this.value, b = n.value;
-        var _0 = BigInt(0), _1 = BigInt(1), _2 = BigInt(2);
-        if (b === _0) return Integer[1];
-        if (a === _0) return Integer[0];
-        if (a === _1) return Integer[1];
-        if (a === BigInt(-1)) return n.isEven() ? Integer[1] : Integer[-1];
-        if (n.isNegative()) return new NativeBigInt(_0);
-        var x = this;
-        var y = Integer[1];
-        while (true) {
-            if ((b & _1) === _1) {
-                y = y.times(x);
-                --b;
-            }
-            if (b === _0) break;
-            b /= _2;
-            x = x.square();
-        }
-        return y;
-    }
-
-    BigInteger.prototype.modPow = function (exp, mod) {
-        exp = parseValue(exp);
-        mod = parseValue(mod);
-        if (mod.isZero()) throw new Error("Cannot take modPow with modulus 0");
-        var r = Integer[1],
-            base = this.mod(mod);
-        if (exp.isNegative()) {
-            exp = exp.multiply(Integer[-1]);
-            base = base.modInv(mod);
-        }
-        while (exp.isPositive()) {
-            if (base.isZero()) return Integer[0];
-            if (exp.isOdd()) r = r.multiply(base).mod(mod);
-            exp = exp.divide(2);
-            base = base.square().mod(mod);
-        }
-        return r;
-    };
-    NativeBigInt.prototype.modPow = SmallInteger.prototype.modPow = BigInteger.prototype.modPow;
-
-    function compareAbs(a, b) {
-        if (a.length !== b.length) {
-            return a.length > b.length ? 1 : -1;
-        }
-        for (var i = a.length - 1; i >= 0; i--) {
-            if (a[i] !== b[i]) return a[i] > b[i] ? 1 : -1;
-        }
-        return 0;
-    }
-
-    BigInteger.prototype.compareAbs = function (v) {
-        var n = parseValue(v),
-            a = this.value,
-            b = n.value;
-        if (n.isSmall) return 1;
-        return compareAbs(a, b);
-    };
-    SmallInteger.prototype.compareAbs = function (v) {
-        var n = parseValue(v),
-            a = Math.abs(this.value),
-            b = n.value;
-        if (n.isSmall) {
-            b = Math.abs(b);
-            return a === b ? 0 : a > b ? 1 : -1;
-        }
-        return -1;
-    };
-    NativeBigInt.prototype.compareAbs = function (v) {
-        var a = this.value;
-        var b = parseValue(v).value;
-        a = a >= 0 ? a : -a;
-        b = b >= 0 ? b : -b;
-        return a === b ? 0 : a > b ? 1 : -1;
-    }
-
-    BigInteger.prototype.compare = function (v) {
-        // See discussion about comparison with Infinity:
-        // https://github.com/peterolson/BigInteger.js/issues/61
-        if (v === Infinity) {
-            return -1;
-        }
-        if (v === -Infinity) {
-            return 1;
-        }
-
-        var n = parseValue(v),
-            a = this.value,
-            b = n.value;
-        if (this.sign !== n.sign) {
-            return n.sign ? 1 : -1;
-        }
-        if (n.isSmall) {
-            return this.sign ? -1 : 1;
-        }
-        return compareAbs(a, b) * (this.sign ? -1 : 1);
-    };
-    BigInteger.prototype.compareTo = BigInteger.prototype.compare;
-
-    SmallInteger.prototype.compare = function (v) {
-        if (v === Infinity) {
-            return -1;
-        }
-        if (v === -Infinity) {
-            return 1;
-        }
-
-        var n = parseValue(v),
-            a = this.value,
-            b = n.value;
-        if (n.isSmall) {
-            return a == b ? 0 : a > b ? 1 : -1;
-        }
-        if (a < 0 !== n.sign) {
-            return a < 0 ? -1 : 1;
-        }
-        return a < 0 ? 1 : -1;
-    };
-    SmallInteger.prototype.compareTo = SmallInteger.prototype.compare;
-
-    NativeBigInt.prototype.compare = function (v) {
-        if (v === Infinity) {
-            return -1;
-        }
-        if (v === -Infinity) {
-            return 1;
-        }
-        var a = this.value;
-        var b = parseValue(v).value;
-        return a === b ? 0 : a > b ? 1 : -1;
-    }
-    NativeBigInt.prototype.compareTo = NativeBigInt.prototype.compare;
-
-    BigInteger.prototype.equals = function (v) {
-        return this.compare(v) === 0;
-    };
-    NativeBigInt.prototype.eq = NativeBigInt.prototype.equals = SmallInteger.prototype.eq = SmallInteger.prototype.equals = BigInteger.prototype.eq = BigInteger.prototype.equals;
-
-    BigInteger.prototype.notEquals = function (v) {
-        return this.compare(v) !== 0;
-    };
-    NativeBigInt.prototype.neq = NativeBigInt.prototype.notEquals = SmallInteger.prototype.neq = SmallInteger.prototype.notEquals = BigInteger.prototype.neq = BigInteger.prototype.notEquals;
-
-    BigInteger.prototype.greater = function (v) {
-        return this.compare(v) > 0;
-    };
-    NativeBigInt.prototype.gt = NativeBigInt.prototype.greater = SmallInteger.prototype.gt = SmallInteger.prototype.greater = BigInteger.prototype.gt = BigInteger.prototype.greater;
-
-    BigInteger.prototype.lesser = function (v) {
-        return this.compare(v) < 0;
-    };
-    NativeBigInt.prototype.lt = NativeBigInt.prototype.lesser = SmallInteger.prototype.lt = SmallInteger.prototype.lesser = BigInteger.prototype.lt = BigInteger.prototype.lesser;
-
-    BigInteger.prototype.greaterOrEquals = function (v) {
-        return this.compare(v) >= 0;
-    };
-    NativeBigInt.prototype.geq = NativeBigInt.prototype.greaterOrEquals = SmallInteger.prototype.geq = SmallInteger.prototype.greaterOrEquals = BigInteger.prototype.geq = BigInteger.prototype.greaterOrEquals;
-
-    BigInteger.prototype.lesserOrEquals = function (v) {
-        return this.compare(v) <= 0;
-    };
-    NativeBigInt.prototype.leq = NativeBigInt.prototype.lesserOrEquals = SmallInteger.prototype.leq = SmallInteger.prototype.lesserOrEquals = BigInteger.prototype.leq = BigInteger.prototype.lesserOrEquals;
-
-    BigInteger.prototype.isEven = function () {
-        return (this.value[0] & 1) === 0;
-    };
-    SmallInteger.prototype.isEven = function () {
-        return (this.value & 1) === 0;
-    };
-    NativeBigInt.prototype.isEven = function () {
-        return (this.value & BigInt(1)) === BigInt(0);
-    }
-
-    BigInteger.prototype.isOdd = function () {
-        return (this.value[0] & 1) === 1;
-    };
-    SmallInteger.prototype.isOdd = function () {
-        return (this.value & 1) === 1;
-    };
-    NativeBigInt.prototype.isOdd = function () {
-        return (this.value & BigInt(1)) === BigInt(1);
-    }
-
-    BigInteger.prototype.isPositive = function () {
-        return !this.sign;
-    };
-    SmallInteger.prototype.isPositive = function () {
-        return this.value > 0;
-    };
-    NativeBigInt.prototype.isPositive = SmallInteger.prototype.isPositive;
-
-    BigInteger.prototype.isNegative = function () {
-        return this.sign;
-    };
-    SmallInteger.prototype.isNegative = function () {
-        return this.value < 0;
-    };
-    NativeBigInt.prototype.isNegative = SmallInteger.prototype.isNegative;
-
-    BigInteger.prototype.isUnit = function () {
-        return false;
-    };
-    SmallInteger.prototype.isUnit = function () {
-        return Math.abs(this.value) === 1;
-    };
-    NativeBigInt.prototype.isUnit = function () {
-        return this.abs().value === BigInt(1);
-    }
-
-    BigInteger.prototype.isZero = function () {
-        return false;
-    };
-    SmallInteger.prototype.isZero = function () {
-        return this.value === 0;
-    };
-    NativeBigInt.prototype.isZero = function () {
-        return this.value === BigInt(0);
-    }
-
-    BigInteger.prototype.isDivisibleBy = function (v) {
-        var n = parseValue(v);
-        if (n.isZero()) return false;
-        if (n.isUnit()) return true;
-        if (n.compareAbs(2) === 0) return this.isEven();
-        return this.mod(n).isZero();
-    };
-    NativeBigInt.prototype.isDivisibleBy = SmallInteger.prototype.isDivisibleBy = BigInteger.prototype.isDivisibleBy;
-
-    function isBasicPrime(v) {
-        var n = v.abs();
-        if (n.isUnit()) return false;
-        if (n.equals(2) || n.equals(3) || n.equals(5)) return true;
-        if (n.isEven() || n.isDivisibleBy(3) || n.isDivisibleBy(5)) return false;
-        if (n.lesser(49)) return true;
-        // we don't know if it's prime: let the other functions figure it out
-    }
-
-    function millerRabinTest(n, a) {
-        var nPrev = n.prev(),
-            b = nPrev,
-            r = 0,
-            d, t, i, x;
-        while (b.isEven()) b = b.divide(2), r++;
-        next: for (i = 0; i < a.length; i++) {
-            if (n.lesser(a[i])) continue;
-            x = bigInt(a[i]).modPow(b, n);
-            if (x.isUnit() || x.equals(nPrev)) continue;
-            for (d = r - 1; d != 0; d--) {
-                x = x.square().mod(n);
-                if (x.isUnit()) return false;
-                if (x.equals(nPrev)) continue next;
-            }
-            return false;
-        }
-        return true;
-    }
-
-    // Set "strict" to true to force GRH-supported lower bound of 2*log(N)^2
-    BigInteger.prototype.isPrime = function (strict) {
-        var isPrime = isBasicPrime(this);
-        if (isPrime !== undefined) return isPrime;
-        var n = this.abs();
-        var bits = n.bitLength();
-        if (bits <= 64)
-            return millerRabinTest(n, [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]);
-        var logN = Math.log(2) * bits.toJSNumber();
-        var t = Math.ceil((strict === true) ? (2 * Math.pow(logN, 2)) : logN);
-        for (var a = [], i = 0; i < t; i++) {
-            a.push(bigInt(i + 2));
-        }
-        return millerRabinTest(n, a);
-    };
-    NativeBigInt.prototype.isPrime = SmallInteger.prototype.isPrime = BigInteger.prototype.isPrime;
-
-    BigInteger.prototype.isProbablePrime = function (iterations, rng) {
-        var isPrime = isBasicPrime(this);
-        if (isPrime !== undefined) return isPrime;
-        var n = this.abs();
-        var t = iterations === undefined ? 5 : iterations;
-        for (var a = [], i = 0; i < t; i++) {
-            a.push(bigInt.randBetween(2, n.minus(2), rng));
-        }
-        return millerRabinTest(n, a);
-    };
-    NativeBigInt.prototype.isProbablePrime = SmallInteger.prototype.isProbablePrime = BigInteger.prototype.isProbablePrime;
-
-    BigInteger.prototype.modInv = function (n) {
-        var t = bigInt.zero, newT = bigInt.one, r = parseValue(n), newR = this.abs(), q, lastT, lastR;
-        while (!newR.isZero()) {
-            q = r.divide(newR);
-            lastT = t;
-            lastR = r;
-            t = newT;
-            r = newR;
-            newT = lastT.subtract(q.multiply(newT));
-            newR = lastR.subtract(q.multiply(newR));
-        }
-        if (!r.isUnit()) throw new Error(this.toString() + " and " + n.toString() + " are not co-prime");
-        if (t.compare(0) === -1) {
-            t = t.add(n);
-        }
-        if (this.isNegative()) {
-            return t.negate();
-        }
-        return t;
-    };
-
-    NativeBigInt.prototype.modInv = SmallInteger.prototype.modInv = BigInteger.prototype.modInv;
-
-    BigInteger.prototype.next = function () {
-        var value = this.value;
-        if (this.sign) {
-            return subtractSmall(value, 1, this.sign);
-        }
-        return new BigInteger(addSmall(value, 1), this.sign);
-    };
-    SmallInteger.prototype.next = function () {
-        var value = this.value;
-        if (value + 1 < MAX_INT) return new SmallInteger(value + 1);
-        return new BigInteger(MAX_INT_ARR, false);
-    };
-    NativeBigInt.prototype.next = function () {
-        return new NativeBigInt(this.value + BigInt(1));
-    }
-
-    BigInteger.prototype.prev = function () {
-        var value = this.value;
-        if (this.sign) {
-            return new BigInteger(addSmall(value, 1), true);
-        }
-        return subtractSmall(value, 1, this.sign);
-    };
-    SmallInteger.prototype.prev = function () {
-        var value = this.value;
-        if (value - 1 > -MAX_INT) return new SmallInteger(value - 1);
-        return new BigInteger(MAX_INT_ARR, true);
-    };
-    NativeBigInt.prototype.prev = function () {
-        return new NativeBigInt(this.value - BigInt(1));
-    }
-
-    var powersOfTwo = [1];
-    while (2 * powersOfTwo[powersOfTwo.length - 1] <= BASE) powersOfTwo.push(2 * powersOfTwo[powersOfTwo.length - 1]);
-    var powers2Length = powersOfTwo.length, highestPower2 = powersOfTwo[powers2Length - 1];
-
-    function shift_isSmall(n) {
-        return Math.abs(n) <= BASE;
-    }
-
-    BigInteger.prototype.shiftLeft = function (v) {
-        var n = parseValue(v).toJSNumber();
-        if (!shift_isSmall(n)) {
-            throw new Error(String(n) + " is too large for shifting.");
-        }
-        if (n < 0) return this.shiftRight(-n);
-        var result = this;
-        if (result.isZero()) return result;
-        while (n >= powers2Length) {
-            result = result.multiply(highestPower2);
-            n -= powers2Length - 1;
-        }
-        return result.multiply(powersOfTwo[n]);
-    };
-    NativeBigInt.prototype.shiftLeft = SmallInteger.prototype.shiftLeft = BigInteger.prototype.shiftLeft;
-
-    BigInteger.prototype.shiftRight = function (v) {
-        var remQuo;
-        var n = parseValue(v).toJSNumber();
-        if (!shift_isSmall(n)) {
-            throw new Error(String(n) + " is too large for shifting.");
-        }
-        if (n < 0) return this.shiftLeft(-n);
-        var result = this;
-        while (n >= powers2Length) {
-            if (result.isZero() || (result.isNegative() && result.isUnit())) return result;
-            remQuo = divModAny(result, highestPower2);
-            result = remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0];
-            n -= powers2Length - 1;
-        }
-        remQuo = divModAny(result, powersOfTwo[n]);
-        return remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0];
-    };
-    NativeBigInt.prototype.shiftRight = SmallInteger.prototype.shiftRight = BigInteger.prototype.shiftRight;
-
-    function bitwise(x, y, fn) {
-        y = parseValue(y);
-        var xSign = x.isNegative(), ySign = y.isNegative();
-        var xRem = xSign ? x.not() : x,
-            yRem = ySign ? y.not() : y;
-        var xDigit = 0, yDigit = 0;
-        var xDivMod = null, yDivMod = null;
-        var result = [];
-        while (!xRem.isZero() || !yRem.isZero()) {
-            xDivMod = divModAny(xRem, highestPower2);
-            xDigit = xDivMod[1].toJSNumber();
-            if (xSign) {
-                xDigit = highestPower2 - 1 - xDigit; // two's complement for negative numbers
-            }
-
-            yDivMod = divModAny(yRem, highestPower2);
-            yDigit = yDivMod[1].toJSNumber();
-            if (ySign) {
-                yDigit = highestPower2 - 1 - yDigit; // two's complement for negative numbers
-            }
-
-            xRem = xDivMod[0];
-            yRem = yDivMod[0];
-            result.push(fn(xDigit, yDigit));
-        }
-        var sum = fn(xSign ? 1 : 0, ySign ? 1 : 0) !== 0 ? bigInt(-1) : bigInt(0);
-        for (var i = result.length - 1; i >= 0; i -= 1) {
-            sum = sum.multiply(highestPower2).add(bigInt(result[i]));
-        }
-        return sum;
-    }
-
-    BigInteger.prototype.not = function () {
-        return this.negate().prev();
-    };
-    NativeBigInt.prototype.not = SmallInteger.prototype.not = BigInteger.prototype.not;
-
-    BigInteger.prototype.and = function (n) {
-        return bitwise(this, n, function (a, b) { return a & b; });
-    };
-    NativeBigInt.prototype.and = SmallInteger.prototype.and = BigInteger.prototype.and;
-
-    BigInteger.prototype.or = function (n) {
-        return bitwise(this, n, function (a, b) { return a | b; });
-    };
-    NativeBigInt.prototype.or = SmallInteger.prototype.or = BigInteger.prototype.or;
-
-    BigInteger.prototype.xor = function (n) {
-        return bitwise(this, n, function (a, b) { return a ^ b; });
-    };
-    NativeBigInt.prototype.xor = SmallInteger.prototype.xor = BigInteger.prototype.xor;
-
-    var LOBMASK_I = 1 << 30, LOBMASK_BI = (BASE & -BASE) * (BASE & -BASE) | LOBMASK_I;
-    function roughLOB(n) { // get lowestOneBit (rough)
-        // SmallInteger: return Min(lowestOneBit(n), 1 << 30)
-        // BigInteger: return Min(lowestOneBit(n), 1 << 14) [BASE=1e7]
-        var v = n.value,
-            x = typeof v === "number" ? v | LOBMASK_I :
-                typeof v === "bigint" ? v | BigInt(LOBMASK_I) :
-                    v[0] + v[1] * BASE | LOBMASK_BI;
-        return x & -x;
-    }
-
-    function integerLogarithm(value, base) {
-        if (base.compareTo(value) <= 0) {
-            var tmp = integerLogarithm(value, base.square(base));
-            var p = tmp.p;
-            var e = tmp.e;
-            var t = p.multiply(base);
-            return t.compareTo(value) <= 0 ? { p: t, e: e * 2 + 1 } : { p: p, e: e * 2 };
-        }
-        return { p: bigInt(1), e: 0 };
-    }
-
-    BigInteger.prototype.bitLength = function () {
-        var n = this;
-        if (n.compareTo(bigInt(0)) < 0) {
-            n = n.negate().subtract(bigInt(1));
-        }
-        if (n.compareTo(bigInt(0)) === 0) {
-            return bigInt(0);
-        }
-        return bigInt(integerLogarithm(n, bigInt(2)).e).add(bigInt(1));
-    }
-    NativeBigInt.prototype.bitLength = SmallInteger.prototype.bitLength = BigInteger.prototype.bitLength;
-
-    function max(a, b) {
-        a = parseValue(a);
-        b = parseValue(b);
-        return a.greater(b) ? a : b;
-    }
-    function min(a, b) {
-        a = parseValue(a);
-        b = parseValue(b);
-        return a.lesser(b) ? a : b;
-    }
-    function gcd(a, b) {
-        a = parseValue(a).abs();
-        b = parseValue(b).abs();
-        if (a.equals(b)) return a;
-        if (a.isZero()) return b;
-        if (b.isZero()) return a;
-        var c = Integer[1], d, t;
-        while (a.isEven() && b.isEven()) {
-            d = min(roughLOB(a), roughLOB(b));
-            a = a.divide(d);
-            b = b.divide(d);
-            c = c.multiply(d);
-        }
-        while (a.isEven()) {
-            a = a.divide(roughLOB(a));
-        }
-        do {
-            while (b.isEven()) {
-                b = b.divide(roughLOB(b));
-            }
-            if (a.greater(b)) {
-                t = b; b = a; a = t;
-            }
-            b = b.subtract(a);
-        } while (!b.isZero());
-        return c.isUnit() ? a : a.multiply(c);
-    }
-    function lcm(a, b) {
-        a = parseValue(a).abs();
-        b = parseValue(b).abs();
-        return a.divide(gcd(a, b)).multiply(b);
-    }
-    function randBetween(a, b, rng) {
-        a = parseValue(a);
-        b = parseValue(b);
-        var usedRNG = rng || Math.random;
-        var low = min(a, b), high = max(a, b);
-        var range = high.subtract(low).add(1);
-        if (range.isSmall) return low.add(Math.floor(usedRNG() * range));
-        var digits = toBase(range, BASE).value;
-        var result = [], restricted = true;
-        for (var i = 0; i < digits.length; i++) {
-            var top = restricted ? digits[i] + (i + 1 < digits.length ? digits[i + 1] / BASE : 0) : BASE;
-            var digit = truncate(usedRNG() * top);
-            result.push(digit);
-            if (digit < digits[i]) restricted = false;
-        }
-        return low.add(Integer.fromArray(result, BASE, false));
-    }
-
-    var parseBase = function (text, base, alphabet, caseSensitive) {
-        alphabet = alphabet || DEFAULT_ALPHABET;
-        text = String(text);
-        if (!caseSensitive) {
-            text = text.toLowerCase();
-            alphabet = alphabet.toLowerCase();
-        }
-        var length = text.length;
-        var i;
-        var absBase = Math.abs(base);
-        var alphabetValues = {};
-        for (i = 0; i < alphabet.length; i++) {
-            alphabetValues[alphabet[i]] = i;
-        }
-        for (i = 0; i < length; i++) {
-            var c = text[i];
-            if (c === "-") continue;
-            if (c in alphabetValues) {
-                if (alphabetValues[c] >= absBase) {
-                    if (c === "1" && absBase === 1) continue;
-                    throw new Error(c + " is not a valid digit in base " + base + ".");
-                }
-            }
-        }
-        base = parseValue(base);
-        var digits = [];
-        var isNegative = text[0] === "-";
-        for (i = isNegative ? 1 : 0; i < text.length; i++) {
-            var c = text[i];
-            if (c in alphabetValues) digits.push(parseValue(alphabetValues[c]));
-            else if (c === "<") {
-                var start = i;
-                do { i++; } while (text[i] !== ">" && i < text.length);
-                digits.push(parseValue(text.slice(start + 1, i)));
-            }
-            else throw new Error(c + " is not a valid character");
-        }
-        return parseBaseFromArray(digits, base, isNegative);
-    };
-
-    function parseBaseFromArray(digits, base, isNegative) {
-        var val = Integer[0], pow = Integer[1], i;
-        for (i = digits.length - 1; i >= 0; i--) {
-            val = val.add(digits[i].times(pow));
-            pow = pow.times(base);
-        }
-        return isNegative ? val.negate() : val;
-    }
-
-    function stringify(digit, alphabet) {
-        alphabet = alphabet || DEFAULT_ALPHABET;
-        if (digit < alphabet.length) {
-            return alphabet[digit];
-        }
-        return "<" + digit + ">";
-    }
-
-    function toBase(n, base) {
-        base = bigInt(base);
-        if (base.isZero()) {
-            if (n.isZero()) return { value: [0], isNegative: false };
-            throw new Error("Cannot convert nonzero numbers to base 0.");
-        }
-        if (base.equals(-1)) {
-            if (n.isZero()) return { value: [0], isNegative: false };
-            if (n.isNegative())
-                return {
-                    value: [].concat.apply([], Array.apply(null, Array(-n.toJSNumber()))
-                        .map(Array.prototype.valueOf, [1, 0])
-                    ),
-                    isNegative: false
-                };
-
-            var arr = Array.apply(null, Array(n.toJSNumber() - 1))
-                .map(Array.prototype.valueOf, [0, 1]);
-            arr.unshift([1]);
-            return {
-                value: [].concat.apply([], arr),
-                isNegative: false
-            };
-        }
-
-        var neg = false;
-        if (n.isNegative() && base.isPositive()) {
-            neg = true;
-            n = n.abs();
-        }
-        if (base.isUnit()) {
-            if (n.isZero()) return { value: [0], isNegative: false };
-
-            return {
-                value: Array.apply(null, Array(n.toJSNumber()))
-                    .map(Number.prototype.valueOf, 1),
-                isNegative: neg
-            };
-        }
-        var out = [];
-        var left = n, divmod;
-        while (left.isNegative() || left.compareAbs(base) >= 0) {
-            divmod = left.divmod(base);
-            left = divmod.quotient;
-            var digit = divmod.remainder;
-            if (digit.isNegative()) {
-                digit = base.minus(digit).abs();
-                left = left.next();
-            }
-            out.push(digit.toJSNumber());
-        }
-        out.push(left.toJSNumber());
-        return { value: out.reverse(), isNegative: neg };
-    }
-
-    function toBaseString(n, base, alphabet) {
-        var arr = toBase(n, base);
-        return (arr.isNegative ? "-" : "") + arr.value.map(function (x) {
-            return stringify(x, alphabet);
-        }).join('');
-    }
-
-    BigInteger.prototype.toArray = function (radix) {
-        return toBase(this, radix);
-    };
-
-    SmallInteger.prototype.toArray = function (radix) {
-        return toBase(this, radix);
-    };
-
-    NativeBigInt.prototype.toArray = function (radix) {
-        return toBase(this, radix);
-    };
-
-    BigInteger.prototype.toString = function (radix, alphabet) {
-        if (radix === undefined) radix = 10;
-        if (radix !== 10 || alphabet) return toBaseString(this, radix, alphabet);
-        var v = this.value, l = v.length, str = String(v[--l]), zeros = "0000000", digit;
-        while (--l >= 0) {
-            digit = String(v[l]);
-            str += zeros.slice(digit.length) + digit;
-        }
-        var sign = this.sign ? "-" : "";
-        return sign + str;
-    };
-
-    SmallInteger.prototype.toString = function (radix, alphabet) {
-        if (radix === undefined) radix = 10;
-        if (radix != 10 || alphabet) return toBaseString(this, radix, alphabet);
-        return String(this.value);
-    };
-
-    NativeBigInt.prototype.toString = SmallInteger.prototype.toString;
-
-    NativeBigInt.prototype.toJSON = BigInteger.prototype.toJSON = SmallInteger.prototype.toJSON = function () { return this.toString(); }
-
-    BigInteger.prototype.valueOf = function () {
-        return parseInt(this.toString(), 10);
-    };
-    BigInteger.prototype.toJSNumber = BigInteger.prototype.valueOf;
-
-    SmallInteger.prototype.valueOf = function () {
-        return this.value;
-    };
-    SmallInteger.prototype.toJSNumber = SmallInteger.prototype.valueOf;
-    NativeBigInt.prototype.valueOf = NativeBigInt.prototype.toJSNumber = function () {
-        return parseInt(this.toString(), 10);
-    }
-
-    function parseStringValue(v) {
-        if (isPrecise(+v)) {
-            var x = +v;
-            if (x === truncate(x))
-                return supportsNativeBigInt ? new NativeBigInt(BigInt(x)) : new SmallInteger(x);
-            throw new Error("Invalid integer: " + v);
-        }
-        var sign = v[0] === "-";
-        if (sign) v = v.slice(1);
-        var split = v.split(/e/i);
-        if (split.length > 2) throw new Error("Invalid integer: " + split.join("e"));
-        if (split.length === 2) {
-            var exp = split[1];
-            if (exp[0] === "+") exp = exp.slice(1);
-            exp = +exp;
-            if (exp !== truncate(exp) || !isPrecise(exp)) throw new Error("Invalid integer: " + exp + " is not a valid exponent.");
-            var text = split[0];
-            var decimalPlace = text.indexOf(".");
-            if (decimalPlace >= 0) {
-                exp -= text.length - decimalPlace - 1;
-                text = text.slice(0, decimalPlace) + text.slice(decimalPlace + 1);
-            }
-            if (exp < 0) throw new Error("Cannot include negative exponent part for integers");
-            text += (new Array(exp + 1)).join("0");
-            v = text;
-        }
-        var isValid = /^([0-9][0-9]*)$/.test(v);
-        if (!isValid) throw new Error("Invalid integer: " + v);
-        if (supportsNativeBigInt) {
-            return new NativeBigInt(BigInt(sign ? "-" + v : v));
-        }
-        var r = [], max = v.length, l = LOG_BASE, min = max - l;
-        while (max > 0) {
-            r.push(+v.slice(min, max));
-            min -= l;
-            if (min < 0) min = 0;
-            max -= l;
-        }
-        trim(r);
-        return new BigInteger(r, sign);
-    }
-
-    function parseNumberValue(v) {
-        if (supportsNativeBigInt) {
-            return new NativeBigInt(BigInt(v));
-        }
-        if (isPrecise(v)) {
-            if (v !== truncate(v)) throw new Error(v + " is not an integer.");
-            return new SmallInteger(v);
-        }
-        return parseStringValue(v.toString());
-    }
-
-    function parseValue(v) {
-        if (typeof v === "number") {
-            return parseNumberValue(v);
-        }
-        if (typeof v === "string") {
-            return parseStringValue(v);
-        }
-        if (typeof v === "bigint") {
-            return new NativeBigInt(v);
-        }
-        return v;
-    }
-    // Pre-define numbers in range [-999,999]
-    for (var i = 0; i < 1000; i++) {
-        Integer[i] = parseValue(i);
-        if (i > 0) Integer[-i] = parseValue(-i);
-    }
-    // Backwards compatibility
-    Integer.one = Integer[1];
-    Integer.zero = Integer[0];
-    Integer.minusOne = Integer[-1];
-    Integer.max = max;
-    Integer.min = min;
-    Integer.gcd = gcd;
-    Integer.lcm = lcm;
-    Integer.isInstance = function (x) { return x instanceof BigInteger || x instanceof SmallInteger || x instanceof NativeBigInt; };
-    Integer.randBetween = randBetween;
-
-    Integer.fromArray = function (digits, base, isNegative) {
-        return parseBaseFromArray(digits.map(parseValue), parseValue(base || 10), isNegative);
-    };
-
-    return Integer;
-})();
-
-// Node.js check
-if ( true && module.hasOwnProperty("exports")) {
-    module.exports = bigInt;
-}
-
-//amd check
-if (true) {
-    !(__WEBPACK_AMD_DEFINE_RESULT__ = (function () {
-        return bigInt;
+var __WEBPACK_AMD_DEFINE_RESULT__;var bigInt = (function (undefined) {
+    "use strict";
+
+    var BASE = 1e7,
+        LOG_BASE = 7,
+        MAX_INT = 9007199254740992,
+        MAX_INT_ARR = smallToArray(MAX_INT),
+        DEFAULT_ALPHABET = "0123456789abcdefghijklmnopqrstuvwxyz";
+
+    var supportsNativeBigInt = typeof BigInt === "function";
+
+    function Integer(v, radix, alphabet, caseSensitive) {
+        if (typeof v === "undefined") return Integer[0];
+        if (typeof radix !== "undefined") return +radix === 10 && !alphabet ? parseValue(v) : parseBase(v, radix, alphabet, caseSensitive);
+        return parseValue(v);
+    }
+
+    function BigInteger(value, sign) {
+        this.value = value;
+        this.sign = sign;
+        this.isSmall = false;
+    }
+    BigInteger.prototype = Object.create(Integer.prototype);
+
+    function SmallInteger(value) {
+        this.value = value;
+        this.sign = value < 0;
+        this.isSmall = true;
+    }
+    SmallInteger.prototype = Object.create(Integer.prototype);
+
+    function NativeBigInt(value) {
+        this.value = value;
+    }
+    NativeBigInt.prototype = Object.create(Integer.prototype);
+
+    function isPrecise(n) {
+        return -MAX_INT < n && n < MAX_INT;
+    }
+
+    function smallToArray(n) { // For performance reasons doesn't reference BASE, need to change this function if BASE changes
+        if (n < 1e7)
+            return [n];
+        if (n < 1e14)
+            return [n % 1e7, Math.floor(n / 1e7)];
+        return [n % 1e7, Math.floor(n / 1e7) % 1e7, Math.floor(n / 1e14)];
+    }
+
+    function arrayToSmall(arr) { // If BASE changes this function may need to change
+        trim(arr);
+        var length = arr.length;
+        if (length < 4 && compareAbs(arr, MAX_INT_ARR) < 0) {
+            switch (length) {
+                case 0: return 0;
+                case 1: return arr[0];
+                case 2: return arr[0] + arr[1] * BASE;
+                default: return arr[0] + (arr[1] + arr[2] * BASE) * BASE;
+            }
+        }
+        return arr;
+    }
+
+    function trim(v) {
+        var i = v.length;
+        while (v[--i] === 0);
+        v.length = i + 1;
+    }
+
+    function createArray(length) { // function shamelessly stolen from Yaffle's library https://github.com/Yaffle/BigInteger
+        var x = new Array(length);
+        var i = -1;
+        while (++i < length) {
+            x[i] = 0;
+        }
+        return x;
+    }
+
+    function truncate(n) {
+        if (n > 0) return Math.floor(n);
+        return Math.ceil(n);
+    }
+
+    function add(a, b) { // assumes a and b are arrays with a.length >= b.length
+        var l_a = a.length,
+            l_b = b.length,
+            r = new Array(l_a),
+            carry = 0,
+            base = BASE,
+            sum, i;
+        for (i = 0; i < l_b; i++) {
+            sum = a[i] + b[i] + carry;
+            carry = sum >= base ? 1 : 0;
+            r[i] = sum - carry * base;
+        }
+        while (i < l_a) {
+            sum = a[i] + carry;
+            carry = sum === base ? 1 : 0;
+            r[i++] = sum - carry * base;
+        }
+        if (carry > 0) r.push(carry);
+        return r;
+    }
+
+    function addAny(a, b) {
+        if (a.length >= b.length) return add(a, b);
+        return add(b, a);
+    }
+
+    function addSmall(a, carry) { // assumes a is array, carry is number with 0 <= carry < MAX_INT
+        var l = a.length,
+            r = new Array(l),
+            base = BASE,
+            sum, i;
+        for (i = 0; i < l; i++) {
+            sum = a[i] - base + carry;
+            carry = Math.floor(sum / base);
+            r[i] = sum - carry * base;
+            carry += 1;
+        }
+        while (carry > 0) {
+            r[i++] = carry % base;
+            carry = Math.floor(carry / base);
+        }
+        return r;
+    }
+
+    BigInteger.prototype.add = function (v) {
+        var n = parseValue(v);
+        if (this.sign !== n.sign) {
+            return this.subtract(n.negate());
+        }
+        var a = this.value, b = n.value;
+        if (n.isSmall) {
+            return new BigInteger(addSmall(a, Math.abs(b)), this.sign);
+        }
+        return new BigInteger(addAny(a, b), this.sign);
+    };
+    BigInteger.prototype.plus = BigInteger.prototype.add;
+
+    SmallInteger.prototype.add = function (v) {
+        var n = parseValue(v);
+        var a = this.value;
+        if (a < 0 !== n.sign) {
+            return this.subtract(n.negate());
+        }
+        var b = n.value;
+        if (n.isSmall) {
+            if (isPrecise(a + b)) return new SmallInteger(a + b);
+            b = smallToArray(Math.abs(b));
+        }
+        return new BigInteger(addSmall(b, Math.abs(a)), a < 0);
+    };
+    SmallInteger.prototype.plus = SmallInteger.prototype.add;
+
+    NativeBigInt.prototype.add = function (v) {
+        return new NativeBigInt(this.value + parseValue(v).value);
+    }
+    NativeBigInt.prototype.plus = NativeBigInt.prototype.add;
+
+    function subtract(a, b) { // assumes a and b are arrays with a >= b
+        var a_l = a.length,
+            b_l = b.length,
+            r = new Array(a_l),
+            borrow = 0,
+            base = BASE,
+            i, difference;
+        for (i = 0; i < b_l; i++) {
+            difference = a[i] - borrow - b[i];
+            if (difference < 0) {
+                difference += base;
+                borrow = 1;
+            } else borrow = 0;
+            r[i] = difference;
+        }
+        for (i = b_l; i < a_l; i++) {
+            difference = a[i] - borrow;
+            if (difference < 0) difference += base;
+            else {
+                r[i++] = difference;
+                break;
+            }
+            r[i] = difference;
+        }
+        for (; i < a_l; i++) {
+            r[i] = a[i];
+        }
+        trim(r);
+        return r;
+    }
+
+    function subtractAny(a, b, sign) {
+        var value;
+        if (compareAbs(a, b) >= 0) {
+            value = subtract(a, b);
+        } else {
+            value = subtract(b, a);
+            sign = !sign;
+        }
+        value = arrayToSmall(value);
+        if (typeof value === "number") {
+            if (sign) value = -value;
+            return new SmallInteger(value);
+        }
+        return new BigInteger(value, sign);
+    }
+
+    function subtractSmall(a, b, sign) { // assumes a is array, b is number with 0 <= b < MAX_INT
+        var l = a.length,
+            r = new Array(l),
+            carry = -b,
+            base = BASE,
+            i, difference;
+        for (i = 0; i < l; i++) {
+            difference = a[i] + carry;
+            carry = Math.floor(difference / base);
+            difference %= base;
+            r[i] = difference < 0 ? difference + base : difference;
+        }
+        r = arrayToSmall(r);
+        if (typeof r === "number") {
+            if (sign) r = -r;
+            return new SmallInteger(r);
+        } return new BigInteger(r, sign);
+    }
+
+    BigInteger.prototype.subtract = function (v) {
+        var n = parseValue(v);
+        if (this.sign !== n.sign) {
+            return this.add(n.negate());
+        }
+        var a = this.value, b = n.value;
+        if (n.isSmall)
+            return subtractSmall(a, Math.abs(b), this.sign);
+        return subtractAny(a, b, this.sign);
+    };
+    BigInteger.prototype.minus = BigInteger.prototype.subtract;
+
+    SmallInteger.prototype.subtract = function (v) {
+        var n = parseValue(v);
+        var a = this.value;
+        if (a < 0 !== n.sign) {
+            return this.add(n.negate());
+        }
+        var b = n.value;
+        if (n.isSmall) {
+            return new SmallInteger(a - b);
+        }
+        return subtractSmall(b, Math.abs(a), a >= 0);
+    };
+    SmallInteger.prototype.minus = SmallInteger.prototype.subtract;
+
+    NativeBigInt.prototype.subtract = function (v) {
+        return new NativeBigInt(this.value - parseValue(v).value);
+    }
+    NativeBigInt.prototype.minus = NativeBigInt.prototype.subtract;
+
+    BigInteger.prototype.negate = function () {
+        return new BigInteger(this.value, !this.sign);
+    };
+    SmallInteger.prototype.negate = function () {
+        var sign = this.sign;
+        var small = new SmallInteger(-this.value);
+        small.sign = !sign;
+        return small;
+    };
+    NativeBigInt.prototype.negate = function () {
+        return new NativeBigInt(-this.value);
+    }
+
+    BigInteger.prototype.abs = function () {
+        return new BigInteger(this.value, false);
+    };
+    SmallInteger.prototype.abs = function () {
+        return new SmallInteger(Math.abs(this.value));
+    };
+    NativeBigInt.prototype.abs = function () {
+        return new NativeBigInt(this.value >= 0 ? this.value : -this.value);
+    }
+
+
+    function multiplyLong(a, b) {
+        var a_l = a.length,
+            b_l = b.length,
+            l = a_l + b_l,
+            r = createArray(l),
+            base = BASE,
+            product, carry, i, a_i, b_j;
+        for (i = 0; i < a_l; ++i) {
+            a_i = a[i];
+            for (var j = 0; j < b_l; ++j) {
+                b_j = b[j];
+                product = a_i * b_j + r[i + j];
+                carry = Math.floor(product / base);
+                r[i + j] = product - carry * base;
+                r[i + j + 1] += carry;
+            }
+        }
+        trim(r);
+        return r;
+    }
+
+    function multiplySmall(a, b) { // assumes a is array, b is number with |b| < BASE
+        var l = a.length,
+            r = new Array(l),
+            base = BASE,
+            carry = 0,
+            product, i;
+        for (i = 0; i < l; i++) {
+            product = a[i] * b + carry;
+            carry = Math.floor(product / base);
+            r[i] = product - carry * base;
+        }
+        while (carry > 0) {
+            r[i++] = carry % base;
+            carry = Math.floor(carry / base);
+        }
+        return r;
+    }
+
+    function shiftLeft(x, n) {
+        var r = [];
+        while (n-- > 0) r.push(0);
+        return r.concat(x);
+    }
+
+    function multiplyKaratsuba(x, y) {
+        var n = Math.max(x.length, y.length);
+
+        if (n <= 30) return multiplyLong(x, y);
+        n = Math.ceil(n / 2);
+
+        var b = x.slice(n),
+            a = x.slice(0, n),
+            d = y.slice(n),
+            c = y.slice(0, n);
+
+        var ac = multiplyKaratsuba(a, c),
+            bd = multiplyKaratsuba(b, d),
+            abcd = multiplyKaratsuba(addAny(a, b), addAny(c, d));
+
+        var product = addAny(addAny(ac, shiftLeft(subtract(subtract(abcd, ac), bd), n)), shiftLeft(bd, 2 * n));
+        trim(product);
+        return product;
+    }
+
+    // The following function is derived from a surface fit of a graph plotting the performance difference
+    // between long multiplication and karatsuba multiplication versus the lengths of the two arrays.
+    function useKaratsuba(l1, l2) {
+        return -0.012 * l1 - 0.012 * l2 + 0.000015 * l1 * l2 > 0;
+    }
+
+    BigInteger.prototype.multiply = function (v) {
+        var n = parseValue(v),
+            a = this.value, b = n.value,
+            sign = this.sign !== n.sign,
+            abs;
+        if (n.isSmall) {
+            if (b === 0) return Integer[0];
+            if (b === 1) return this;
+            if (b === -1) return this.negate();
+            abs = Math.abs(b);
+            if (abs < BASE) {
+                return new BigInteger(multiplySmall(a, abs), sign);
+            }
+            b = smallToArray(abs);
+        }
+        if (useKaratsuba(a.length, b.length)) // Karatsuba is only faster for certain array sizes
+            return new BigInteger(multiplyKaratsuba(a, b), sign);
+        return new BigInteger(multiplyLong(a, b), sign);
+    };
+
+    BigInteger.prototype.times = BigInteger.prototype.multiply;
+
+    function multiplySmallAndArray(a, b, sign) { // a >= 0
+        if (a < BASE) {
+            return new BigInteger(multiplySmall(b, a), sign);
+        }
+        return new BigInteger(multiplyLong(b, smallToArray(a)), sign);
+    }
+    SmallInteger.prototype._multiplyBySmall = function (a) {
+        if (isPrecise(a.value * this.value)) {
+            return new SmallInteger(a.value * this.value);
+        }
+        return multiplySmallAndArray(Math.abs(a.value), smallToArray(Math.abs(this.value)), this.sign !== a.sign);
+    };
+    BigInteger.prototype._multiplyBySmall = function (a) {
+        if (a.value === 0) return Integer[0];
+        if (a.value === 1) return this;
+        if (a.value === -1) return this.negate();
+        return multiplySmallAndArray(Math.abs(a.value), this.value, this.sign !== a.sign);
+    };
+    SmallInteger.prototype.multiply = function (v) {
+        return parseValue(v)._multiplyBySmall(this);
+    };
+    SmallInteger.prototype.times = SmallInteger.prototype.multiply;
+
+    NativeBigInt.prototype.multiply = function (v) {
+        return new NativeBigInt(this.value * parseValue(v).value);
+    }
+    NativeBigInt.prototype.times = NativeBigInt.prototype.multiply;
+
+    function square(a) {
+        //console.assert(2 * BASE * BASE < MAX_INT);
+        var l = a.length,
+            r = createArray(l + l),
+            base = BASE,
+            product, carry, i, a_i, a_j;
+        for (i = 0; i < l; i++) {
+            a_i = a[i];
+            carry = 0 - a_i * a_i;
+            for (var j = i; j < l; j++) {
+                a_j = a[j];
+                product = 2 * (a_i * a_j) + r[i + j] + carry;
+                carry = Math.floor(product / base);
+                r[i + j] = product - carry * base;
+            }
+            r[i + l] = carry;
+        }
+        trim(r);
+        return r;
+    }
+
+    BigInteger.prototype.square = function () {
+        return new BigInteger(square(this.value), false);
+    };
+
+    SmallInteger.prototype.square = function () {
+        var value = this.value * this.value;
+        if (isPrecise(value)) return new SmallInteger(value);
+        return new BigInteger(square(smallToArray(Math.abs(this.value))), false);
+    };
+
+    NativeBigInt.prototype.square = function (v) {
+        return new NativeBigInt(this.value * this.value);
+    }
+
+    function divMod1(a, b) { // Left over from previous version. Performs faster than divMod2 on smaller input sizes.
+        var a_l = a.length,
+            b_l = b.length,
+            base = BASE,
+            result = createArray(b.length),
+            divisorMostSignificantDigit = b[b_l - 1],
+            // normalization
+            lambda = Math.ceil(base / (2 * divisorMostSignificantDigit)),
+            remainder = multiplySmall(a, lambda),
+            divisor = multiplySmall(b, lambda),
+            quotientDigit, shift, carry, borrow, i, l, q;
+        if (remainder.length <= a_l) remainder.push(0);
+        divisor.push(0);
+        divisorMostSignificantDigit = divisor[b_l - 1];
+        for (shift = a_l - b_l; shift >= 0; shift--) {
+            quotientDigit = base - 1;
+            if (remainder[shift + b_l] !== divisorMostSignificantDigit) {
+                quotientDigit = Math.floor((remainder[shift + b_l] * base + remainder[shift + b_l - 1]) / divisorMostSignificantDigit);
+            }
+            // quotientDigit <= base - 1
+            carry = 0;
+            borrow = 0;
+            l = divisor.length;
+            for (i = 0; i < l; i++) {
+                carry += quotientDigit * divisor[i];
+                q = Math.floor(carry / base);
+                borrow += remainder[shift + i] - (carry - q * base);
+                carry = q;
+                if (borrow < 0) {
+                    remainder[shift + i] = borrow + base;
+                    borrow = -1;
+                } else {
+                    remainder[shift + i] = borrow;
+                    borrow = 0;
+                }
+            }
+            while (borrow !== 0) {
+                quotientDigit -= 1;
+                carry = 0;
+                for (i = 0; i < l; i++) {
+                    carry += remainder[shift + i] - base + divisor[i];
+                    if (carry < 0) {
+                        remainder[shift + i] = carry + base;
+                        carry = 0;
+                    } else {
+                        remainder[shift + i] = carry;
+                        carry = 1;
+                    }
+                }
+                borrow += carry;
+            }
+            result[shift] = quotientDigit;
+        }
+        // denormalization
+        remainder = divModSmall(remainder, lambda)[0];
+        return [arrayToSmall(result), arrayToSmall(remainder)];
+    }
+
+    function divMod2(a, b) { // Implementation idea shamelessly stolen from Silent Matt's library http://silentmatt.com/biginteger/
+        // Performs faster than divMod1 on larger input sizes.
+        var a_l = a.length,
+            b_l = b.length,
+            result = [],
+            part = [],
+            base = BASE,
+            guess, xlen, highx, highy, check;
+        while (a_l) {
+            part.unshift(a[--a_l]);
+            trim(part);
+            if (compareAbs(part, b) < 0) {
+                result.push(0);
+                continue;
+            }
+            xlen = part.length;
+            highx = part[xlen - 1] * base + part[xlen - 2];
+            highy = b[b_l - 1] * base + b[b_l - 2];
+            if (xlen > b_l) {
+                highx = (highx + 1) * base;
+            }
+            guess = Math.ceil(highx / highy);
+            do {
+                check = multiplySmall(b, guess);
+                if (compareAbs(check, part) <= 0) break;
+                guess--;
+            } while (guess);
+            result.push(guess);
+            part = subtract(part, check);
+        }
+        result.reverse();
+        return [arrayToSmall(result), arrayToSmall(part)];
+    }
+
+    function divModSmall(value, lambda) {
+        var length = value.length,
+            quotient = createArray(length),
+            base = BASE,
+            i, q, remainder, divisor;
+        remainder = 0;
+        for (i = length - 1; i >= 0; --i) {
+            divisor = remainder * base + value[i];
+            q = truncate(divisor / lambda);
+            remainder = divisor - q * lambda;
+            quotient[i] = q | 0;
+        }
+        return [quotient, remainder | 0];
+    }
+
+    function divModAny(self, v) {
+        var value, n = parseValue(v);
+        if (supportsNativeBigInt) {
+            return [new NativeBigInt(self.value / n.value), new NativeBigInt(self.value % n.value)];
+        }
+        var a = self.value, b = n.value;
+        var quotient;
+        if (b === 0) throw new Error("Cannot divide by zero");
+        if (self.isSmall) {
+            if (n.isSmall) {
+                return [new SmallInteger(truncate(a / b)), new SmallInteger(a % b)];
+            }
+            return [Integer[0], self];
+        }
+        if (n.isSmall) {
+            if (b === 1) return [self, Integer[0]];
+            if (b == -1) return [self.negate(), Integer[0]];
+            var abs = Math.abs(b);
+            if (abs < BASE) {
+                value = divModSmall(a, abs);
+                quotient = arrayToSmall(value[0]);
+                var remainder = value[1];
+                if (self.sign) remainder = -remainder;
+                if (typeof quotient === "number") {
+                    if (self.sign !== n.sign) quotient = -quotient;
+                    return [new SmallInteger(quotient), new SmallInteger(remainder)];
+                }
+                return [new BigInteger(quotient, self.sign !== n.sign), new SmallInteger(remainder)];
+            }
+            b = smallToArray(abs);
+        }
+        var comparison = compareAbs(a, b);
+        if (comparison === -1) return [Integer[0], self];
+        if (comparison === 0) return [Integer[self.sign === n.sign ? 1 : -1], Integer[0]];
+
+        // divMod1 is faster on smaller input sizes
+        if (a.length + b.length <= 200)
+            value = divMod1(a, b);
+        else value = divMod2(a, b);
+
+        quotient = value[0];
+        var qSign = self.sign !== n.sign,
+            mod = value[1],
+            mSign = self.sign;
+        if (typeof quotient === "number") {
+            if (qSign) quotient = -quotient;
+            quotient = new SmallInteger(quotient);
+        } else quotient = new BigInteger(quotient, qSign);
+        if (typeof mod === "number") {
+            if (mSign) mod = -mod;
+            mod = new SmallInteger(mod);
+        } else mod = new BigInteger(mod, mSign);
+        return [quotient, mod];
+    }
+
+    BigInteger.prototype.divmod = function (v) {
+        var result = divModAny(this, v);
+        return {
+            quotient: result[0],
+            remainder: result[1]
+        };
+    };
+    NativeBigInt.prototype.divmod = SmallInteger.prototype.divmod = BigInteger.prototype.divmod;
+
+
+    BigInteger.prototype.divide = function (v) {
+        return divModAny(this, v)[0];
+    };
+    NativeBigInt.prototype.over = NativeBigInt.prototype.divide = function (v) {
+        return new NativeBigInt(this.value / parseValue(v).value);
+    };
+    SmallInteger.prototype.over = SmallInteger.prototype.divide = BigInteger.prototype.over = BigInteger.prototype.divide;
+
+    BigInteger.prototype.mod = function (v) {
+        return divModAny(this, v)[1];
+    };
+    NativeBigInt.prototype.mod = NativeBigInt.prototype.remainder = function (v) {
+        return new NativeBigInt(this.value % parseValue(v).value);
+    };
+    SmallInteger.prototype.remainder = SmallInteger.prototype.mod = BigInteger.prototype.remainder = BigInteger.prototype.mod;
+
+    BigInteger.prototype.pow = function (v) {
+        var n = parseValue(v),
+            a = this.value,
+            b = n.value,
+            value, x, y;
+        if (b === 0) return Integer[1];
+        if (a === 0) return Integer[0];
+        if (a === 1) return Integer[1];
+        if (a === -1) return n.isEven() ? Integer[1] : Integer[-1];
+        if (n.sign) {
+            return Integer[0];
+        }
+        if (!n.isSmall) throw new Error("The exponent " + n.toString() + " is too large.");
+        if (this.isSmall) {
+            if (isPrecise(value = Math.pow(a, b)))
+                return new SmallInteger(truncate(value));
+        }
+        x = this;
+        y = Integer[1];
+        while (true) {
+            if (b & 1 === 1) {
+                y = y.times(x);
+                --b;
+            }
+            if (b === 0) break;
+            b /= 2;
+            x = x.square();
+        }
+        return y;
+    };
+    SmallInteger.prototype.pow = BigInteger.prototype.pow;
+
+    NativeBigInt.prototype.pow = function (v) {
+        var n = parseValue(v);
+        var a = this.value, b = n.value;
+        var _0 = BigInt(0), _1 = BigInt(1), _2 = BigInt(2);
+        if (b === _0) return Integer[1];
+        if (a === _0) return Integer[0];
+        if (a === _1) return Integer[1];
+        if (a === BigInt(-1)) return n.isEven() ? Integer[1] : Integer[-1];
+        if (n.isNegative()) return new NativeBigInt(_0);
+        var x = this;
+        var y = Integer[1];
+        while (true) {
+            if ((b & _1) === _1) {
+                y = y.times(x);
+                --b;
+            }
+            if (b === _0) break;
+            b /= _2;
+            x = x.square();
+        }
+        return y;
+    }
+
+    BigInteger.prototype.modPow = function (exp, mod) {
+        exp = parseValue(exp);
+        mod = parseValue(mod);
+        if (mod.isZero()) throw new Error("Cannot take modPow with modulus 0");
+        var r = Integer[1],
+            base = this.mod(mod);
+        if (exp.isNegative()) {
+            exp = exp.multiply(Integer[-1]);
+            base = base.modInv(mod);
+        }
+        while (exp.isPositive()) {
+            if (base.isZero()) return Integer[0];
+            if (exp.isOdd()) r = r.multiply(base).mod(mod);
+            exp = exp.divide(2);
+            base = base.square().mod(mod);
+        }
+        return r;
+    };
+    NativeBigInt.prototype.modPow = SmallInteger.prototype.modPow = BigInteger.prototype.modPow;
+
+    function compareAbs(a, b) {
+        if (a.length !== b.length) {
+            return a.length > b.length ? 1 : -1;
+        }
+        for (var i = a.length - 1; i >= 0; i--) {
+            if (a[i] !== b[i]) return a[i] > b[i] ? 1 : -1;
+        }
+        return 0;
+    }
+
+    BigInteger.prototype.compareAbs = function (v) {
+        var n = parseValue(v),
+            a = this.value,
+            b = n.value;
+        if (n.isSmall) return 1;
+        return compareAbs(a, b);
+    };
+    SmallInteger.prototype.compareAbs = function (v) {
+        var n = parseValue(v),
+            a = Math.abs(this.value),
+            b = n.value;
+        if (n.isSmall) {
+            b = Math.abs(b);
+            return a === b ? 0 : a > b ? 1 : -1;
+        }
+        return -1;
+    };
+    NativeBigInt.prototype.compareAbs = function (v) {
+        var a = this.value;
+        var b = parseValue(v).value;
+        a = a >= 0 ? a : -a;
+        b = b >= 0 ? b : -b;
+        return a === b ? 0 : a > b ? 1 : -1;
+    }
+
+    BigInteger.prototype.compare = function (v) {
+        // See discussion about comparison with Infinity:
+        // https://github.com/peterolson/BigInteger.js/issues/61
+        if (v === Infinity) {
+            return -1;
+        }
+        if (v === -Infinity) {
+            return 1;
+        }
+
+        var n = parseValue(v),
+            a = this.value,
+            b = n.value;
+        if (this.sign !== n.sign) {
+            return n.sign ? 1 : -1;
+        }
+        if (n.isSmall) {
+            return this.sign ? -1 : 1;
+        }
+        return compareAbs(a, b) * (this.sign ? -1 : 1);
+    };
+    BigInteger.prototype.compareTo = BigInteger.prototype.compare;
+
+    SmallInteger.prototype.compare = function (v) {
+        if (v === Infinity) {
+            return -1;
+        }
+        if (v === -Infinity) {
+            return 1;
+        }
+
+        var n = parseValue(v),
+            a = this.value,
+            b = n.value;
+        if (n.isSmall) {
+            return a == b ? 0 : a > b ? 1 : -1;
+        }
+        if (a < 0 !== n.sign) {
+            return a < 0 ? -1 : 1;
+        }
+        return a < 0 ? 1 : -1;
+    };
+    SmallInteger.prototype.compareTo = SmallInteger.prototype.compare;
+
+    NativeBigInt.prototype.compare = function (v) {
+        if (v === Infinity) {
+            return -1;
+        }
+        if (v === -Infinity) {
+            return 1;
+        }
+        var a = this.value;
+        var b = parseValue(v).value;
+        return a === b ? 0 : a > b ? 1 : -1;
+    }
+    NativeBigInt.prototype.compareTo = NativeBigInt.prototype.compare;
+
+    BigInteger.prototype.equals = function (v) {
+        return this.compare(v) === 0;
+    };
+    NativeBigInt.prototype.eq = NativeBigInt.prototype.equals = SmallInteger.prototype.eq = SmallInteger.prototype.equals = BigInteger.prototype.eq = BigInteger.prototype.equals;
+
+    BigInteger.prototype.notEquals = function (v) {
+        return this.compare(v) !== 0;
+    };
+    NativeBigInt.prototype.neq = NativeBigInt.prototype.notEquals = SmallInteger.prototype.neq = SmallInteger.prototype.notEquals = BigInteger.prototype.neq = BigInteger.prototype.notEquals;
+
+    BigInteger.prototype.greater = function (v) {
+        return this.compare(v) > 0;
+    };
+    NativeBigInt.prototype.gt = NativeBigInt.prototype.greater = SmallInteger.prototype.gt = SmallInteger.prototype.greater = BigInteger.prototype.gt = BigInteger.prototype.greater;
+
+    BigInteger.prototype.lesser = function (v) {
+        return this.compare(v) < 0;
+    };
+    NativeBigInt.prototype.lt = NativeBigInt.prototype.lesser = SmallInteger.prototype.lt = SmallInteger.prototype.lesser = BigInteger.prototype.lt = BigInteger.prototype.lesser;
+
+    BigInteger.prototype.greaterOrEquals = function (v) {
+        return this.compare(v) >= 0;
+    };
+    NativeBigInt.prototype.geq = NativeBigInt.prototype.greaterOrEquals = SmallInteger.prototype.geq = SmallInteger.prototype.greaterOrEquals = BigInteger.prototype.geq = BigInteger.prototype.greaterOrEquals;
+
+    BigInteger.prototype.lesserOrEquals = function (v) {
+        return this.compare(v) <= 0;
+    };
+    NativeBigInt.prototype.leq = NativeBigInt.prototype.lesserOrEquals = SmallInteger.prototype.leq = SmallInteger.prototype.lesserOrEquals = BigInteger.prototype.leq = BigInteger.prototype.lesserOrEquals;
+
+    BigInteger.prototype.isEven = function () {
+        return (this.value[0] & 1) === 0;
+    };
+    SmallInteger.prototype.isEven = function () {
+        return (this.value & 1) === 0;
+    };
+    NativeBigInt.prototype.isEven = function () {
+        return (this.value & BigInt(1)) === BigInt(0);
+    }
+
+    BigInteger.prototype.isOdd = function () {
+        return (this.value[0] & 1) === 1;
+    };
+    SmallInteger.prototype.isOdd = function () {
+        return (this.value & 1) === 1;
+    };
+    NativeBigInt.prototype.isOdd = function () {
+        return (this.value & BigInt(1)) === BigInt(1);
+    }
+
+    BigInteger.prototype.isPositive = function () {
+        return !this.sign;
+    };
+    SmallInteger.prototype.isPositive = function () {
+        return this.value > 0;
+    };
+    NativeBigInt.prototype.isPositive = SmallInteger.prototype.isPositive;
+
+    BigInteger.prototype.isNegative = function () {
+        return this.sign;
+    };
+    SmallInteger.prototype.isNegative = function () {
+        return this.value < 0;
+    };
+    NativeBigInt.prototype.isNegative = SmallInteger.prototype.isNegative;
+
+    BigInteger.prototype.isUnit = function () {
+        return false;
+    };
+    SmallInteger.prototype.isUnit = function () {
+        return Math.abs(this.value) === 1;
+    };
+    NativeBigInt.prototype.isUnit = function () {
+        return this.abs().value === BigInt(1);
+    }
+
+    BigInteger.prototype.isZero = function () {
+        return false;
+    };
+    SmallInteger.prototype.isZero = function () {
+        return this.value === 0;
+    };
+    NativeBigInt.prototype.isZero = function () {
+        return this.value === BigInt(0);
+    }
+
+    BigInteger.prototype.isDivisibleBy = function (v) {
+        var n = parseValue(v);
+        if (n.isZero()) return false;
+        if (n.isUnit()) return true;
+        if (n.compareAbs(2) === 0) return this.isEven();
+        return this.mod(n).isZero();
+    };
+    NativeBigInt.prototype.isDivisibleBy = SmallInteger.prototype.isDivisibleBy = BigInteger.prototype.isDivisibleBy;
+
+    function isBasicPrime(v) {
+        var n = v.abs();
+        if (n.isUnit()) return false;
+        if (n.equals(2) || n.equals(3) || n.equals(5)) return true;
+        if (n.isEven() || n.isDivisibleBy(3) || n.isDivisibleBy(5)) return false;
+        if (n.lesser(49)) return true;
+        // we don't know if it's prime: let the other functions figure it out
+    }
+
+    function millerRabinTest(n, a) {
+        var nPrev = n.prev(),
+            b = nPrev,
+            r = 0,
+            d, t, i, x;
+        while (b.isEven()) b = b.divide(2), r++;
+        next: for (i = 0; i < a.length; i++) {
+            if (n.lesser(a[i])) continue;
+            x = bigInt(a[i]).modPow(b, n);
+            if (x.isUnit() || x.equals(nPrev)) continue;
+            for (d = r - 1; d != 0; d--) {
+                x = x.square().mod(n);
+                if (x.isUnit()) return false;
+                if (x.equals(nPrev)) continue next;
+            }
+            return false;
+        }
+        return true;
+    }
+
+    // Set "strict" to true to force GRH-supported lower bound of 2*log(N)^2
+    BigInteger.prototype.isPrime = function (strict) {
+        var isPrime = isBasicPrime(this);
+        if (isPrime !== undefined) return isPrime;
+        var n = this.abs();
+        var bits = n.bitLength();
+        if (bits <= 64)
+            return millerRabinTest(n, [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]);
+        var logN = Math.log(2) * bits.toJSNumber();
+        var t = Math.ceil((strict === true) ? (2 * Math.pow(logN, 2)) : logN);
+        for (var a = [], i = 0; i < t; i++) {
+            a.push(bigInt(i + 2));
+        }
+        return millerRabinTest(n, a);
+    };
+    NativeBigInt.prototype.isPrime = SmallInteger.prototype.isPrime = BigInteger.prototype.isPrime;
+
+    BigInteger.prototype.isProbablePrime = function (iterations, rng) {
+        var isPrime = isBasicPrime(this);
+        if (isPrime !== undefined) return isPrime;
+        var n = this.abs();
+        var t = iterations === undefined ? 5 : iterations;
+        for (var a = [], i = 0; i < t; i++) {
+            a.push(bigInt.randBetween(2, n.minus(2), rng));
+        }
+        return millerRabinTest(n, a);
+    };
+    NativeBigInt.prototype.isProbablePrime = SmallInteger.prototype.isProbablePrime = BigInteger.prototype.isProbablePrime;
+
+    BigInteger.prototype.modInv = function (n) {
+        var t = bigInt.zero, newT = bigInt.one, r = parseValue(n), newR = this.abs(), q, lastT, lastR;
+        while (!newR.isZero()) {
+            q = r.divide(newR);
+            lastT = t;
+            lastR = r;
+            t = newT;
+            r = newR;
+            newT = lastT.subtract(q.multiply(newT));
+            newR = lastR.subtract(q.multiply(newR));
+        }
+        if (!r.isUnit()) throw new Error(this.toString() + " and " + n.toString() + " are not co-prime");
+        if (t.compare(0) === -1) {
+            t = t.add(n);
+        }
+        if (this.isNegative()) {
+            return t.negate();
+        }
+        return t;
+    };
+
+    NativeBigInt.prototype.modInv = SmallInteger.prototype.modInv = BigInteger.prototype.modInv;
+
+    BigInteger.prototype.next = function () {
+        var value = this.value;
+        if (this.sign) {
+            return subtractSmall(value, 1, this.sign);
+        }
+        return new BigInteger(addSmall(value, 1), this.sign);
+    };
+    SmallInteger.prototype.next = function () {
+        var value = this.value;
+        if (value + 1 < MAX_INT) return new SmallInteger(value + 1);
+        return new BigInteger(MAX_INT_ARR, false);
+    };
+    NativeBigInt.prototype.next = function () {
+        return new NativeBigInt(this.value + BigInt(1));
+    }
+
+    BigInteger.prototype.prev = function () {
+        var value = this.value;
+        if (this.sign) {
+            return new BigInteger(addSmall(value, 1), true);
+        }
+        return subtractSmall(value, 1, this.sign);
+    };
+    SmallInteger.prototype.prev = function () {
+        var value = this.value;
+        if (value - 1 > -MAX_INT) return new SmallInteger(value - 1);
+        return new BigInteger(MAX_INT_ARR, true);
+    };
+    NativeBigInt.prototype.prev = function () {
+        return new NativeBigInt(this.value - BigInt(1));
+    }
+
+    var powersOfTwo = [1];
+    while (2 * powersOfTwo[powersOfTwo.length - 1] <= BASE) powersOfTwo.push(2 * powersOfTwo[powersOfTwo.length - 1]);
+    var powers2Length = powersOfTwo.length, highestPower2 = powersOfTwo[powers2Length - 1];
+
+    function shift_isSmall(n) {
+        return Math.abs(n) <= BASE;
+    }
+
+    BigInteger.prototype.shiftLeft = function (v) {
+        var n = parseValue(v).toJSNumber();
+        if (!shift_isSmall(n)) {
+            throw new Error(String(n) + " is too large for shifting.");
+        }
+        if (n < 0) return this.shiftRight(-n);
+        var result = this;
+        if (result.isZero()) return result;
+        while (n >= powers2Length) {
+            result = result.multiply(highestPower2);
+            n -= powers2Length - 1;
+        }
+        return result.multiply(powersOfTwo[n]);
+    };
+    NativeBigInt.prototype.shiftLeft = SmallInteger.prototype.shiftLeft = BigInteger.prototype.shiftLeft;
+
+    BigInteger.prototype.shiftRight = function (v) {
+        var remQuo;
+        var n = parseValue(v).toJSNumber();
+        if (!shift_isSmall(n)) {
+            throw new Error(String(n) + " is too large for shifting.");
+        }
+        if (n < 0) return this.shiftLeft(-n);
+        var result = this;
+        while (n >= powers2Length) {
+            if (result.isZero() || (result.isNegative() && result.isUnit())) return result;
+            remQuo = divModAny(result, highestPower2);
+            result = remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0];
+            n -= powers2Length - 1;
+        }
+        remQuo = divModAny(result, powersOfTwo[n]);
+        return remQuo[1].isNegative() ? remQuo[0].prev() : remQuo[0];
+    };
+    NativeBigInt.prototype.shiftRight = SmallInteger.prototype.shiftRight = BigInteger.prototype.shiftRight;
+
+    function bitwise(x, y, fn) {
+        y = parseValue(y);
+        var xSign = x.isNegative(), ySign = y.isNegative();
+        var xRem = xSign ? x.not() : x,
+            yRem = ySign ? y.not() : y;
+        var xDigit = 0, yDigit = 0;
+        var xDivMod = null, yDivMod = null;
+        var result = [];
+        while (!xRem.isZero() || !yRem.isZero()) {
+            xDivMod = divModAny(xRem, highestPower2);
+            xDigit = xDivMod[1].toJSNumber();
+            if (xSign) {
+                xDigit = highestPower2 - 1 - xDigit; // two's complement for negative numbers
+            }
+
+            yDivMod = divModAny(yRem, highestPower2);
+            yDigit = yDivMod[1].toJSNumber();
+            if (ySign) {
+                yDigit = highestPower2 - 1 - yDigit; // two's complement for negative numbers
+            }
+
+            xRem = xDivMod[0];
+            yRem = yDivMod[0];
+            result.push(fn(xDigit, yDigit));
+        }
+        var sum = fn(xSign ? 1 : 0, ySign ? 1 : 0) !== 0 ? bigInt(-1) : bigInt(0);
+        for (var i = result.length - 1; i >= 0; i -= 1) {
+            sum = sum.multiply(highestPower2).add(bigInt(result[i]));
+        }
+        return sum;
+    }
+
+    BigInteger.prototype.not = function () {
+        return this.negate().prev();
+    };
+    NativeBigInt.prototype.not = SmallInteger.prototype.not = BigInteger.prototype.not;
+
+    BigInteger.prototype.and = function (n) {
+        return bitwise(this, n, function (a, b) { return a & b; });
+    };
+    NativeBigInt.prototype.and = SmallInteger.prototype.and = BigInteger.prototype.and;
+
+    BigInteger.prototype.or = function (n) {
+        return bitwise(this, n, function (a, b) { return a | b; });
+    };
+    NativeBigInt.prototype.or = SmallInteger.prototype.or = BigInteger.prototype.or;
+
+    BigInteger.prototype.xor = function (n) {
+        return bitwise(this, n, function (a, b) { return a ^ b; });
+    };
+    NativeBigInt.prototype.xor = SmallInteger.prototype.xor = BigInteger.prototype.xor;
+
+    var LOBMASK_I = 1 << 30, LOBMASK_BI = (BASE & -BASE) * (BASE & -BASE) | LOBMASK_I;
+    function roughLOB(n) { // get lowestOneBit (rough)
+        // SmallInteger: return Min(lowestOneBit(n), 1 << 30)
+        // BigInteger: return Min(lowestOneBit(n), 1 << 14) [BASE=1e7]
+        var v = n.value,
+            x = typeof v === "number" ? v | LOBMASK_I :
+                typeof v === "bigint" ? v | BigInt(LOBMASK_I) :
+                    v[0] + v[1] * BASE | LOBMASK_BI;
+        return x & -x;
+    }
+
+    function integerLogarithm(value, base) {
+        if (base.compareTo(value) <= 0) {
+            var tmp = integerLogarithm(value, base.square(base));
+            var p = tmp.p;
+            var e = tmp.e;
+            var t = p.multiply(base);
+            return t.compareTo(value) <= 0 ? { p: t, e: e * 2 + 1 } : { p: p, e: e * 2 };
+        }
+        return { p: bigInt(1), e: 0 };
+    }
+
+    BigInteger.prototype.bitLength = function () {
+        var n = this;
+        if (n.compareTo(bigInt(0)) < 0) {
+            n = n.negate().subtract(bigInt(1));
+        }
+        if (n.compareTo(bigInt(0)) === 0) {
+            return bigInt(0);
+        }
+        return bigInt(integerLogarithm(n, bigInt(2)).e).add(bigInt(1));
+    }
+    NativeBigInt.prototype.bitLength = SmallInteger.prototype.bitLength = BigInteger.prototype.bitLength;
+
+    function max(a, b) {
+        a = parseValue(a);
+        b = parseValue(b);
+        return a.greater(b) ? a : b;
+    }
+    function min(a, b) {
+        a = parseValue(a);
+        b = parseValue(b);
+        return a.lesser(b) ? a : b;
+    }
+    function gcd(a, b) {
+        a = parseValue(a).abs();
+        b = parseValue(b).abs();
+        if (a.equals(b)) return a;
+        if (a.isZero()) return b;
+        if (b.isZero()) return a;
+        var c = Integer[1], d, t;
+        while (a.isEven() && b.isEven()) {
+            d = min(roughLOB(a), roughLOB(b));
+            a = a.divide(d);
+            b = b.divide(d);
+            c = c.multiply(d);
+        }
+        while (a.isEven()) {
+            a = a.divide(roughLOB(a));
+        }
+        do {
+            while (b.isEven()) {
+                b = b.divide(roughLOB(b));
+            }
+            if (a.greater(b)) {
+                t = b; b = a; a = t;
+            }
+            b = b.subtract(a);
+        } while (!b.isZero());
+        return c.isUnit() ? a : a.multiply(c);
+    }
+    function lcm(a, b) {
+        a = parseValue(a).abs();
+        b = parseValue(b).abs();
+        return a.divide(gcd(a, b)).multiply(b);
+    }
+    function randBetween(a, b, rng) {
+        a = parseValue(a);
+        b = parseValue(b);
+        var usedRNG = rng || Math.random;
+        var low = min(a, b), high = max(a, b);
+        var range = high.subtract(low).add(1);
+        if (range.isSmall) return low.add(Math.floor(usedRNG() * range));
+        var digits = toBase(range, BASE).value;
+        var result = [], restricted = true;
+        for (var i = 0; i < digits.length; i++) {
+            var top = restricted ? digits[i] + (i + 1 < digits.length ? digits[i + 1] / BASE : 0) : BASE;
+            var digit = truncate(usedRNG() * top);
+            result.push(digit);
+            if (digit < digits[i]) restricted = false;
+        }
+        return low.add(Integer.fromArray(result, BASE, false));
+    }
+
+    var parseBase = function (text, base, alphabet, caseSensitive) {
+        alphabet = alphabet || DEFAULT_ALPHABET;
+        text = String(text);
+        if (!caseSensitive) {
+            text = text.toLowerCase();
+            alphabet = alphabet.toLowerCase();
+        }
+        var length = text.length;
+        var i;
+        var absBase = Math.abs(base);
+        var alphabetValues = {};
+        for (i = 0; i < alphabet.length; i++) {
+            alphabetValues[alphabet[i]] = i;
+        }
+        for (i = 0; i < length; i++) {
+            var c = text[i];
+            if (c === "-") continue;
+            if (c in alphabetValues) {
+                if (alphabetValues[c] >= absBase) {
+                    if (c === "1" && absBase === 1) continue;
+                    throw new Error(c + " is not a valid digit in base " + base + ".");
+                }
+            }
+        }
+        base = parseValue(base);
+        var digits = [];
+        var isNegative = text[0] === "-";
+        for (i = isNegative ? 1 : 0; i < text.length; i++) {
+            var c = text[i];
+            if (c in alphabetValues) digits.push(parseValue(alphabetValues[c]));
+            else if (c === "<") {
+                var start = i;
+                do { i++; } while (text[i] !== ">" && i < text.length);
+                digits.push(parseValue(text.slice(start + 1, i)));
+            }
+            else throw new Error(c + " is not a valid character");
+        }
+        return parseBaseFromArray(digits, base, isNegative);
+    };
+
+    function parseBaseFromArray(digits, base, isNegative) {
+        var val = Integer[0], pow = Integer[1], i;
+        for (i = digits.length - 1; i >= 0; i--) {
+            val = val.add(digits[i].times(pow));
+            pow = pow.times(base);
+        }
+        return isNegative ? val.negate() : val;
+    }
+
+    function stringify(digit, alphabet) {
+        alphabet = alphabet || DEFAULT_ALPHABET;
+        if (digit < alphabet.length) {
+            return alphabet[digit];
+        }
+        return "<" + digit + ">";
+    }
+
+    function toBase(n, base) {
+        base = bigInt(base);
+        if (base.isZero()) {
+            if (n.isZero()) return { value: [0], isNegative: false };
+            throw new Error("Cannot convert nonzero numbers to base 0.");
+        }
+        if (base.equals(-1)) {
+            if (n.isZero()) return { value: [0], isNegative: false };
+            if (n.isNegative())
+                return {
+                    value: [].concat.apply([], Array.apply(null, Array(-n.toJSNumber()))
+                        .map(Array.prototype.valueOf, [1, 0])
+                    ),
+                    isNegative: false
+                };
+
+            var arr = Array.apply(null, Array(n.toJSNumber() - 1))
+                .map(Array.prototype.valueOf, [0, 1]);
+            arr.unshift([1]);
+            return {
+                value: [].concat.apply([], arr),
+                isNegative: false
+            };
+        }
+
+        var neg = false;
+        if (n.isNegative() && base.isPositive()) {
+            neg = true;
+            n = n.abs();
+        }
+        if (base.isUnit()) {
+            if (n.isZero()) return { value: [0], isNegative: false };
+
+            return {
+                value: Array.apply(null, Array(n.toJSNumber()))
+                    .map(Number.prototype.valueOf, 1),
+                isNegative: neg
+            };
+        }
+        var out = [];
+        var left = n, divmod;
+        while (left.isNegative() || left.compareAbs(base) >= 0) {
+            divmod = left.divmod(base);
+            left = divmod.quotient;
+            var digit = divmod.remainder;
+            if (digit.isNegative()) {
+                digit = base.minus(digit).abs();
+                left = left.next();
+            }
+            out.push(digit.toJSNumber());
+        }
+        out.push(left.toJSNumber());
+        return { value: out.reverse(), isNegative: neg };
+    }
+
+    function toBaseString(n, base, alphabet) {
+        var arr = toBase(n, base);
+        return (arr.isNegative ? "-" : "") + arr.value.map(function (x) {
+            return stringify(x, alphabet);
+        }).join('');
+    }
+
+    BigInteger.prototype.toArray = function (radix) {
+        return toBase(this, radix);
+    };
+
+    SmallInteger.prototype.toArray = function (radix) {
+        return toBase(this, radix);
+    };
+
+    NativeBigInt.prototype.toArray = function (radix) {
+        return toBase(this, radix);
+    };
+
+    BigInteger.prototype.toString = function (radix, alphabet) {
+        if (radix === undefined) radix = 10;
+        if (radix !== 10 || alphabet) return toBaseString(this, radix, alphabet);
+        var v = this.value, l = v.length, str = String(v[--l]), zeros = "0000000", digit;
+        while (--l >= 0) {
+            digit = String(v[l]);
+            str += zeros.slice(digit.length) + digit;
+        }
+        var sign = this.sign ? "-" : "";
+        return sign + str;
+    };
+
+    SmallInteger.prototype.toString = function (radix, alphabet) {
+        if (radix === undefined) radix = 10;
+        if (radix != 10 || alphabet) return toBaseString(this, radix, alphabet);
+        return String(this.value);
+    };
+
+    NativeBigInt.prototype.toString = SmallInteger.prototype.toString;
+
+    NativeBigInt.prototype.toJSON = BigInteger.prototype.toJSON = SmallInteger.prototype.toJSON = function () { return this.toString(); }
+
+    BigInteger.prototype.valueOf = function () {
+        return parseInt(this.toString(), 10);
+    };
+    BigInteger.prototype.toJSNumber = BigInteger.prototype.valueOf;
+
+    SmallInteger.prototype.valueOf = function () {
+        return this.value;
+    };
+    SmallInteger.prototype.toJSNumber = SmallInteger.prototype.valueOf;
+    NativeBigInt.prototype.valueOf = NativeBigInt.prototype.toJSNumber = function () {
+        return parseInt(this.toString(), 10);
+    }
+
+    function parseStringValue(v) {
+        if (isPrecise(+v)) {
+            var x = +v;
+            if (x === truncate(x))
+                return supportsNativeBigInt ? new NativeBigInt(BigInt(x)) : new SmallInteger(x);
+            throw new Error("Invalid integer: " + v);
+        }
+        var sign = v[0] === "-";
+        if (sign) v = v.slice(1);
+        var split = v.split(/e/i);
+        if (split.length > 2) throw new Error("Invalid integer: " + split.join("e"));
+        if (split.length === 2) {
+            var exp = split[1];
+            if (exp[0] === "+") exp = exp.slice(1);
+            exp = +exp;
+            if (exp !== truncate(exp) || !isPrecise(exp)) throw new Error("Invalid integer: " + exp + " is not a valid exponent.");
+            var text = split[0];
+            var decimalPlace = text.indexOf(".");
+            if (decimalPlace >= 0) {
+                exp -= text.length - decimalPlace - 1;
+                text = text.slice(0, decimalPlace) + text.slice(decimalPlace + 1);
+            }
+            if (exp < 0) throw new Error("Cannot include negative exponent part for integers");
+            text += (new Array(exp + 1)).join("0");
+            v = text;
+        }
+        var isValid = /^([0-9][0-9]*)$/.test(v);
+        if (!isValid) throw new Error("Invalid integer: " + v);
+        if (supportsNativeBigInt) {
+            return new NativeBigInt(BigInt(sign ? "-" + v : v));
+        }
+        var r = [], max = v.length, l = LOG_BASE, min = max - l;
+        while (max > 0) {
+            r.push(+v.slice(min, max));
+            min -= l;
+            if (min < 0) min = 0;
+            max -= l;
+        }
+        trim(r);
+        return new BigInteger(r, sign);
+    }
+
+    function parseNumberValue(v) {
+        if (supportsNativeBigInt) {
+            return new NativeBigInt(BigInt(v));
+        }
+        if (isPrecise(v)) {
+            if (v !== truncate(v)) throw new Error(v + " is not an integer.");
+            return new SmallInteger(v);
+        }
+        return parseStringValue(v.toString());
+    }
+
+    function parseValue(v) {
+        if (typeof v === "number") {
+            return parseNumberValue(v);
+        }
+        if (typeof v === "string") {
+            return parseStringValue(v);
+        }
+        if (typeof v === "bigint") {
+            return new NativeBigInt(v);
+        }
+        return v;
+    }
+    // Pre-define numbers in range [-999,999]
+    for (var i = 0; i < 1000; i++) {
+        Integer[i] = parseValue(i);
+        if (i > 0) Integer[-i] = parseValue(-i);
+    }
+    // Backwards compatibility
+    Integer.one = Integer[1];
+    Integer.zero = Integer[0];
+    Integer.minusOne = Integer[-1];
+    Integer.max = max;
+    Integer.min = min;
+    Integer.gcd = gcd;
+    Integer.lcm = lcm;
+    Integer.isInstance = function (x) { return x instanceof BigInteger || x instanceof SmallInteger || x instanceof NativeBigInt; };
+    Integer.randBetween = randBetween;
+
+    Integer.fromArray = function (digits, base, isNegative) {
+        return parseBaseFromArray(digits.map(parseValue), parseValue(base || 10), isNegative);
+    };
+
+    return Integer;
+})();
+
+// Node.js check
+if ( true && module.hasOwnProperty("exports")) {
+    module.exports = bigInt;
+}
+
+//amd check
+if (true) {
+    !(__WEBPACK_AMD_DEFINE_RESULT__ = (function () {
+        return bigInt;
     }).call(exports, __webpack_require__, exports, module),
-		__WEBPACK_AMD_DEFINE_RESULT__ !== undefined && (module.exports = __WEBPACK_AMD_DEFINE_RESULT__));
-}
+		__WEBPACK_AMD_DEFINE_RESULT__ !== undefined && (module.exports = __WEBPACK_AMD_DEFINE_RESULT__));
+}
 
 
 /***/ }),
@@ -201036,276 +201036,276 @@ var COMPRESSED$1 = 'AEEUdwmgDS8BxQKKAP4BOgDjATAAngDUAIMAoABoAOAAagCOAEQAhABMAHIA
 const FENCED = new Map([[8217,"apostrophe"],[8260,"fraction slash"],[12539,"middle dot"]]);
 const NSM_MAX = 4;
 
-function decode_arithmetic(bytes) {
-	let pos = 0;
-	function u16() { return (bytes[pos++] << 8) | bytes[pos++]; }
-	
-	// decode the frequency table
-	let symbol_count = u16();
-	let total = 1;
-	let acc = [0, 1]; // first symbol has frequency 1
-	for (let i = 1; i < symbol_count; i++) {
-		acc.push(total += u16());
-	}
-
-	// skip the sized-payload that the last 3 symbols index into
-	let skip = u16();
-	let pos_payload = pos;
-	pos += skip;
-
-	let read_width = 0;
-	let read_buffer = 0; 
-	function read_bit() {
-		if (read_width == 0) {
-			// this will read beyond end of buffer
-			// but (undefined|0) => zero pad
-			read_buffer = (read_buffer << 8) | bytes[pos++];
-			read_width = 8;
-		}
-		return (read_buffer >> --read_width) & 1;
-	}
-
-	const N = 31;
-	const FULL = 2**N;
-	const HALF = FULL >>> 1;
-	const QRTR = HALF >> 1;
-	const MASK = FULL - 1;
-
-	// fill register
-	let register = 0;
-	for (let i = 0; i < N; i++) register = (register << 1) | read_bit();
-
-	let symbols = [];
-	let low = 0;
-	let range = FULL; // treat like a float
-	while (true) {
-		let value = Math.floor((((register - low + 1) * total) - 1) / range);
-		let start = 0;
-		let end = symbol_count;
-		while (end - start > 1) { // binary search
-			let mid = (start + end) >>> 1;
-			if (value < acc[mid]) {
-				end = mid;
-			} else {
-				start = mid;
-			}
-		}
-		if (start == 0) break; // first symbol is end mark
-		symbols.push(start);
-		let a = low + Math.floor(range * acc[start]   / total);
-		let b = low + Math.floor(range * acc[start+1] / total) - 1;
-		while (((a ^ b) & HALF) == 0) {
-			register = (register << 1) & MASK | read_bit();
-			a = (a << 1) & MASK;
-			b = (b << 1) & MASK | 1;
-		}
-		while (a & ~b & QRTR) {
-			register = (register & HALF) | ((register << 1) & (MASK >>> 1)) | read_bit();
-			a = (a << 1) ^ HALF;
-			b = ((b ^ HALF) << 1) | HALF | 1;
-		}
-		low = a;
-		range = 1 + b - a;
-	}
-	let offset = symbol_count - 4;
-	return symbols.map(x => { // index into payload
-		switch (x - offset) {
-			case 3: return offset + 0x10100 + ((bytes[pos_payload++] << 16) | (bytes[pos_payload++] << 8) | bytes[pos_payload++]);
-			case 2: return offset + 0x100 + ((bytes[pos_payload++] << 8) | bytes[pos_payload++]);
-			case 1: return offset + bytes[pos_payload++];
-			default: return x - 1;
-		}
-	});
-}	
-
-// returns an iterator which returns the next symbol
-function read_payload(v) {
-	let pos = 0;
-	return () => v[pos++];
-}
-function read_compressed_payload(s) {
-	return read_payload(decode_arithmetic(unsafe_atob(s)));
+function decode_arithmetic(bytes) {
+	let pos = 0;
+	function u16() { return (bytes[pos++] << 8) | bytes[pos++]; }
+	
+	// decode the frequency table
+	let symbol_count = u16();
+	let total = 1;
+	let acc = [0, 1]; // first symbol has frequency 1
+	for (let i = 1; i < symbol_count; i++) {
+		acc.push(total += u16());
+	}
+
+	// skip the sized-payload that the last 3 symbols index into
+	let skip = u16();
+	let pos_payload = pos;
+	pos += skip;
+
+	let read_width = 0;
+	let read_buffer = 0; 
+	function read_bit() {
+		if (read_width == 0) {
+			// this will read beyond end of buffer
+			// but (undefined|0) => zero pad
+			read_buffer = (read_buffer << 8) | bytes[pos++];
+			read_width = 8;
+		}
+		return (read_buffer >> --read_width) & 1;
+	}
+
+	const N = 31;
+	const FULL = 2**N;
+	const HALF = FULL >>> 1;
+	const QRTR = HALF >> 1;
+	const MASK = FULL - 1;
+
+	// fill register
+	let register = 0;
+	for (let i = 0; i < N; i++) register = (register << 1) | read_bit();
+
+	let symbols = [];
+	let low = 0;
+	let range = FULL; // treat like a float
+	while (true) {
+		let value = Math.floor((((register - low + 1) * total) - 1) / range);
+		let start = 0;
+		let end = symbol_count;
+		while (end - start > 1) { // binary search
+			let mid = (start + end) >>> 1;
+			if (value < acc[mid]) {
+				end = mid;
+			} else {
+				start = mid;
+			}
+		}
+		if (start == 0) break; // first symbol is end mark
+		symbols.push(start);
+		let a = low + Math.floor(range * acc[start]   / total);
+		let b = low + Math.floor(range * acc[start+1] / total) - 1;
+		while (((a ^ b) & HALF) == 0) {
+			register = (register << 1) & MASK | read_bit();
+			a = (a << 1) & MASK;
+			b = (b << 1) & MASK | 1;
+		}
+		while (a & ~b & QRTR) {
+			register = (register & HALF) | ((register << 1) & (MASK >>> 1)) | read_bit();
+			a = (a << 1) ^ HALF;
+			b = ((b ^ HALF) << 1) | HALF | 1;
+		}
+		low = a;
+		range = 1 + b - a;
+	}
+	let offset = symbol_count - 4;
+	return symbols.map(x => { // index into payload
+		switch (x - offset) {
+			case 3: return offset + 0x10100 + ((bytes[pos_payload++] << 16) | (bytes[pos_payload++] << 8) | bytes[pos_payload++]);
+			case 2: return offset + 0x100 + ((bytes[pos_payload++] << 8) | bytes[pos_payload++]);
+			case 1: return offset + bytes[pos_payload++];
+			default: return x - 1;
+		}
+	});
+}	
+
+// returns an iterator which returns the next symbol
+function read_payload(v) {
+	let pos = 0;
+	return () => v[pos++];
+}
+function read_compressed_payload(s) {
+	return read_payload(decode_arithmetic(unsafe_atob(s)));
+}
+
+// unsafe in the sense:
+// expected well-formed Base64 w/o padding 
+// 20220922: added for https://github.com/adraffy/ens-normalize.js/issues/4
+function unsafe_atob(s) {
+	let lookup = [];
+	[...'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/'].forEach((c, i) => lookup[c.charCodeAt(0)] = i);
+	let n = s.length;
+	let ret = new Uint8Array((6 * n) >> 3);
+	for (let i = 0, pos = 0, width = 0, carry = 0; i < n; i++) {
+		carry = (carry << 6) | lookup[s.charCodeAt(i)];
+		width += 6;
+		if (width >= 8) {
+			ret[pos++] = (carry >> (width -= 8));
+		}
+	}
+	return ret;
+}
+
+// eg. [0,1,2,3...] => [0,-1,1,-2,...]
+function signed(i) { 
+	return (i & 1) ? (~i >> 1) : (i >> 1);
+}
+
+function read_deltas(n, next) {
+	let v = Array(n);
+	for (let i = 0, x = 0; i < n; i++) v[i] = x += signed(next());
+	return v;
+}
+
+// [123][5] => [0 3] [1 1] [0 0]
+function read_sorted(next, prev = 0) {
+	let ret = [];
+	while (true) {
+		let x = next();
+		let n = next();
+		if (!n) break;
+		prev += x;
+		for (let i = 0; i < n; i++) {
+			ret.push(prev + i);
+		}
+		prev += n + 1;
+	}
+	return ret;
+}
+
+function read_sorted_arrays(next) {
+	return read_array_while(() => { 
+		let v = read_sorted(next);
+		if (v.length) return v;
+	});
+}
+
+// returns map of x => ys
+function read_mapped(next) {
+	let ret = [];
+	while (true) {
+		let w = next();
+		if (w == 0) break;
+		ret.push(read_linear_table(w, next));
+	}
+	while (true) {
+		let w = next() - 1;
+		if (w < 0) break;
+		ret.push(read_replacement_table(w, next));
+	}
+	return ret.flat();
+}
+
+// read until next is falsy
+// return array of read values
+function read_array_while(next) {
+	let v = [];
+	while (true) {
+		let x = next(v.length);
+		if (!x) break;
+		v.push(x);
+	}
+	return v;
+}
+
+// read w columns of length n
+// return as n rows of length w
+function read_transposed(n, w, next) {
+	let m = Array(n).fill().map(() => []);
+	for (let i = 0; i < w; i++) {
+		read_deltas(n, next).forEach((x, j) => m[j].push(x));
+	}
+	return m;
+}
+ 
+// returns [[x, ys], [x+dx, ys+dy], [x+2*dx, ys+2*dy], ...]
+// where dx/dy = steps, n = run size, w = length of y
+function read_linear_table(w, next) {
+	let dx = 1 + next();
+	let dy = next();
+	let vN = read_array_while(next);
+	let m = read_transposed(vN.length, 1+w, next);
+	return m.flatMap((v, i) => {
+		let [x, ...ys] = v;
+		return Array(vN[i]).fill().map((_, j) => {
+			let j_dy = j * dy;
+			return [x + j * dx, ys.map(y => y + j_dy)];
+		});
+	});
+}
+
+// return [[x, ys...], ...]
+// where w = length of y
+function read_replacement_table(w, next) { 
+	let n = 1 + next();
+	let m = read_transposed(n, 1+w, next);
+	return m.map(v => [v[0], v.slice(1)]);
+}
+
+
+function read_trie(next) {
+	let ret = [];
+	let sorted = read_sorted(next); 
+	expand(decode([]), []);
+	return ret; // not sorted
+	function decode(Q) { // characters that lead into this node
+		let S = next(); // state: valid, save, check
+		let B = read_array_while(() => { // buckets leading to new nodes
+			let cps = read_sorted(next).map(i => sorted[i]);
+			if (cps.length) return decode(cps);
+		});
+		return {S, B, Q};
+	}
+	function expand({S, B}, cps, saved) {
+		if (S & 4 && saved === cps[cps.length-1]) return;
+		if (S & 2) saved = cps[cps.length-1];
+		if (S & 1) ret.push(cps); 
+		for (let br of B) {
+			for (let cp of br.Q) {
+				expand(br, [...cps, cp], saved);
+			}
+		}
+	}
 }
 
-// unsafe in the sense:
-// expected well-formed Base64 w/o padding 
-// 20220922: added for https://github.com/adraffy/ens-normalize.js/issues/4
-function unsafe_atob(s) {
-	let lookup = [];
-	[...'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/'].forEach((c, i) => lookup[c.charCodeAt(0)] = i);
-	let n = s.length;
-	let ret = new Uint8Array((6 * n) >> 3);
-	for (let i = 0, pos = 0, width = 0, carry = 0; i < n; i++) {
-		carry = (carry << 6) | lookup[s.charCodeAt(i)];
-		width += 6;
-		if (width >= 8) {
-			ret[pos++] = (carry >> (width -= 8));
-		}
-	}
-	return ret;
-}
-
-// eg. [0,1,2,3...] => [0,-1,1,-2,...]
-function signed(i) { 
-	return (i & 1) ? (~i >> 1) : (i >> 1);
-}
-
-function read_deltas(n, next) {
-	let v = Array(n);
-	for (let i = 0, x = 0; i < n; i++) v[i] = x += signed(next());
-	return v;
-}
-
-// [123][5] => [0 3] [1 1] [0 0]
-function read_sorted(next, prev = 0) {
-	let ret = [];
-	while (true) {
-		let x = next();
-		let n = next();
-		if (!n) break;
-		prev += x;
-		for (let i = 0; i < n; i++) {
-			ret.push(prev + i);
-		}
-		prev += n + 1;
-	}
-	return ret;
-}
-
-function read_sorted_arrays(next) {
-	return read_array_while(() => { 
-		let v = read_sorted(next);
-		if (v.length) return v;
-	});
-}
-
-// returns map of x => ys
-function read_mapped(next) {
-	let ret = [];
-	while (true) {
-		let w = next();
-		if (w == 0) break;
-		ret.push(read_linear_table(w, next));
-	}
-	while (true) {
-		let w = next() - 1;
-		if (w < 0) break;
-		ret.push(read_replacement_table(w, next));
-	}
-	return ret.flat();
-}
-
-// read until next is falsy
-// return array of read values
-function read_array_while(next) {
-	let v = [];
-	while (true) {
-		let x = next(v.length);
-		if (!x) break;
-		v.push(x);
-	}
-	return v;
-}
-
-// read w columns of length n
-// return as n rows of length w
-function read_transposed(n, w, next) {
-	let m = Array(n).fill().map(() => []);
-	for (let i = 0; i < w; i++) {
-		read_deltas(n, next).forEach((x, j) => m[j].push(x));
-	}
-	return m;
-}
- 
-// returns [[x, ys], [x+dx, ys+dy], [x+2*dx, ys+2*dy], ...]
-// where dx/dy = steps, n = run size, w = length of y
-function read_linear_table(w, next) {
-	let dx = 1 + next();
-	let dy = next();
-	let vN = read_array_while(next);
-	let m = read_transposed(vN.length, 1+w, next);
-	return m.flatMap((v, i) => {
-		let [x, ...ys] = v;
-		return Array(vN[i]).fill().map((_, j) => {
-			let j_dy = j * dy;
-			return [x + j * dx, ys.map(y => y + j_dy)];
-		});
-	});
-}
-
-// return [[x, ys...], ...]
-// where w = length of y
-function read_replacement_table(w, next) { 
-	let n = 1 + next();
-	let m = read_transposed(n, 1+w, next);
-	return m.map(v => [v[0], v.slice(1)]);
-}
-
-
-function read_trie(next) {
-	let ret = [];
-	let sorted = read_sorted(next); 
-	expand(decode([]), []);
-	return ret; // not sorted
-	function decode(Q) { // characters that lead into this node
-		let S = next(); // state: valid, save, check
-		let B = read_array_while(() => { // buckets leading to new nodes
-			let cps = read_sorted(next).map(i => sorted[i]);
-			if (cps.length) return decode(cps);
-		});
-		return {S, B, Q};
-	}
-	function expand({S, B}, cps, saved) {
-		if (S & 4 && saved === cps[cps.length-1]) return;
-		if (S & 2) saved = cps[cps.length-1];
-		if (S & 1) ret.push(cps); 
-		for (let br of B) {
-			for (let cp of br.Q) {
-				expand(br, [...cps, cp], saved);
-			}
-		}
-	}
-}
-
-function hex_cp(cp) {
-	return cp.toString(16).toUpperCase().padStart(2, '0');
-}
-
-function quote_cp(cp) {
-	return `{${hex_cp(cp)}}`; // raffy convention: like "\u{X}" w/o the "\u"
-}
-
-/*
-export function explode_cp(s) {
-	return [...s].map(c => c.codePointAt(0));
-}
-*/
-function explode_cp(s) { // this is about 2x faster
-	let cps = [];
-	for (let pos = 0, len = s.length; pos < len; ) {
-		let cp = s.codePointAt(pos);
-		pos += cp < 0x10000 ? 1 : 2;
-		cps.push(cp);
-	}
-	return cps;
-}
-
-function str_from_cps(cps) {
-	const chunk = 4096;
-	let len = cps.length;
-	if (len < chunk) return String.fromCodePoint(...cps);
-	let buf = [];
-	for (let i = 0; i < len; ) {
-		buf.push(String.fromCodePoint(...cps.slice(i, i += chunk)));
-	}
-	return buf.join('');
-}
-
-function compare_arrays(a, b) {
-	let n = a.length;
-	let c = n - b.length;
-	for (let i = 0; c == 0 && i < n; i++) c = a[i] - b[i];
-	return c;
+function hex_cp(cp) {
+	return cp.toString(16).toUpperCase().padStart(2, '0');
+}
+
+function quote_cp(cp) {
+	return `{${hex_cp(cp)}}`; // raffy convention: like "\u{X}" w/o the "\u"
+}
+
+/*
+export function explode_cp(s) {
+	return [...s].map(c => c.codePointAt(0));
+}
+*/
+function explode_cp(s) { // this is about 2x faster
+	let cps = [];
+	for (let pos = 0, len = s.length; pos < len; ) {
+		let cp = s.codePointAt(pos);
+		pos += cp < 0x10000 ? 1 : 2;
+		cps.push(cp);
+	}
+	return cps;
+}
+
+function str_from_cps(cps) {
+	const chunk = 4096;
+	let len = cps.length;
+	if (len < chunk) return String.fromCodePoint(...cps);
+	let buf = [];
+	for (let i = 0; i < len; ) {
+		buf.push(String.fromCodePoint(...cps.slice(i, i += chunk)));
+	}
+	return buf.join('');
+}
+
+function compare_arrays(a, b) {
+	let n = a.length;
+	let c = n - b.length;
+	for (let i = 0; c == 0 && i < n; i++) c = a[i] - b[i];
+	return c;
 }
 
 // created 2023-09-25T01:01:55.148Z
@@ -201315,955 +201315,955 @@ function compare_arrays(a, b) {
 // SHA-256: a974b6f8541fc29d919bc85118af0a44015851fab5343f8679cb31be2bdb209e
 var COMPRESSED = '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';
 
-// https://unicode.org/reports/tr15/
-// for reference implementation
-// see: /derive/nf.js
-
-
-// algorithmic hangul
-// https://www.unicode.org/versions/Unicode15.0.0/ch03.pdf (page 144)
-const S0 = 0xAC00;
-const L0 = 0x1100;
-const V0 = 0x1161;
-const T0 = 0x11A7;
-const L_COUNT = 19;
-const V_COUNT = 21;
-const T_COUNT = 28;
-const N_COUNT = V_COUNT * T_COUNT;
-const S_COUNT = L_COUNT * N_COUNT;
-const S1 = S0 + S_COUNT;
-const L1 = L0 + L_COUNT;
-const V1 = V0 + V_COUNT;
-const T1 = T0 + T_COUNT;
-
-function unpack_cc(packed) {
-	return (packed >> 24) & 0xFF;
-}
-function unpack_cp(packed) {
-	return packed & 0xFFFFFF;
+// https://unicode.org/reports/tr15/
+// for reference implementation
+// see: /derive/nf.js
+
+
+// algorithmic hangul
+// https://www.unicode.org/versions/Unicode15.0.0/ch03.pdf (page 144)
+const S0 = 0xAC00;
+const L0 = 0x1100;
+const V0 = 0x1161;
+const T0 = 0x11A7;
+const L_COUNT = 19;
+const V_COUNT = 21;
+const T_COUNT = 28;
+const N_COUNT = V_COUNT * T_COUNT;
+const S_COUNT = L_COUNT * N_COUNT;
+const S1 = S0 + S_COUNT;
+const L1 = L0 + L_COUNT;
+const V1 = V0 + V_COUNT;
+const T1 = T0 + T_COUNT;
+
+function unpack_cc(packed) {
+	return (packed >> 24) & 0xFF;
+}
+function unpack_cp(packed) {
+	return packed & 0xFFFFFF;
+}
+
+let SHIFTED_RANK, EXCLUSIONS, DECOMP, RECOMP;
+
+function init$1() {
+	//console.time('nf');
+	let r = read_compressed_payload(COMPRESSED);
+	SHIFTED_RANK = new Map(read_sorted_arrays(r).flatMap((v, i) => v.map(x => [x, (i+1) << 24]))); // pre-shifted
+	EXCLUSIONS = new Set(read_sorted(r));
+	DECOMP = new Map();
+	RECOMP = new Map();
+	for (let [cp, cps] of read_mapped(r)) {
+		if (!EXCLUSIONS.has(cp) && cps.length == 2) {
+			let [a, b] = cps;
+			let bucket = RECOMP.get(a);
+			if (!bucket) {
+				bucket = new Map();
+				RECOMP.set(a, bucket);
+			}
+			bucket.set(b, cp);
+		}
+		DECOMP.set(cp, cps.reverse()); // stored reversed
+	}
+	//console.timeEnd('nf');
+	// 20230905: 11ms
+}
+
+function is_hangul(cp) {
+	return cp >= S0 && cp < S1;
+}
+
+function compose_pair(a, b) {
+	if (a >= L0 && a < L1 && b >= V0 && b < V1) {
+		return S0 + (a - L0) * N_COUNT + (b - V0) * T_COUNT;
+	} else if (is_hangul(a) && b > T0 && b < T1 && (a - S0) % T_COUNT == 0) {
+		return a + (b - T0);
+	} else {
+		let recomp = RECOMP.get(a);
+		if (recomp) {
+			recomp = recomp.get(b);
+			if (recomp) {
+				return recomp;
+			}
+		}
+		return -1;
+	}
+}
+
+function decomposed(cps) {
+	if (!SHIFTED_RANK) init$1();
+	let ret = [];
+	let buf = [];
+	let check_order = false;
+	function add(cp) {
+		let cc = SHIFTED_RANK.get(cp);
+		if (cc) {
+			check_order = true;
+			cp |= cc;
+		}
+		ret.push(cp);
+	}
+	for (let cp of cps) {
+		while (true) {
+			if (cp < 0x80) {
+				ret.push(cp);
+			} else if (is_hangul(cp)) {
+				let s_index = cp - S0;
+				let l_index = s_index / N_COUNT | 0;
+				let v_index = (s_index % N_COUNT) / T_COUNT | 0;
+				let t_index = s_index % T_COUNT;
+				add(L0 + l_index);
+				add(V0 + v_index);
+				if (t_index > 0) add(T0 + t_index);
+			} else {
+				let mapped = DECOMP.get(cp);
+				if (mapped) {
+					buf.push(...mapped);
+				} else {
+					add(cp);
+				}
+			}
+			if (!buf.length) break;
+			cp = buf.pop();
+		}
+	}
+	if (check_order && ret.length > 1) {
+		let prev_cc = unpack_cc(ret[0]);
+		for (let i = 1; i < ret.length; i++) {
+			let cc = unpack_cc(ret[i]);
+			if (cc == 0 || prev_cc <= cc) {
+				prev_cc = cc;
+				continue;
+			}
+			let j = i-1;
+			while (true) {
+				let tmp = ret[j+1];
+				ret[j+1] = ret[j];
+				ret[j] = tmp;
+				if (!j) break;
+				prev_cc = unpack_cc(ret[--j]);
+				if (prev_cc <= cc) break;
+			}
+			prev_cc = unpack_cc(ret[i]);
+		}
+	}
+	return ret;
+}
+
+function composed_from_decomposed(v) {
+	let ret = [];
+	let stack = [];
+	let prev_cp = -1;
+	let prev_cc = 0;
+	for (let packed of v) {
+		let cc = unpack_cc(packed);
+		let cp = unpack_cp(packed);
+		if (prev_cp == -1) {
+			if (cc == 0) {
+				prev_cp = cp;
+			} else {
+				ret.push(cp);
+			}
+		} else if (prev_cc > 0 && prev_cc >= cc) {
+			if (cc == 0) {
+				ret.push(prev_cp, ...stack);
+				stack.length = 0;
+				prev_cp = cp;
+			} else {
+				stack.push(cp);
+			}
+			prev_cc = cc;
+		} else {
+			let composed = compose_pair(prev_cp, cp);
+			if (composed >= 0) {
+				prev_cp = composed;
+			} else if (prev_cc == 0 && cc == 0) {
+				ret.push(prev_cp);
+				prev_cp = cp;
+			} else {
+				stack.push(cp);
+				prev_cc = cc;
+			}
+		}
+	}
+	if (prev_cp >= 0) {
+		ret.push(prev_cp, ...stack);	
+	}
+	return ret;
+}
+
+// note: cps can be iterable
+function nfd(cps) {
+	return decomposed(cps).map(unpack_cp);
+}
+function nfc(cps) {
+	return composed_from_decomposed(decomposed(cps));
 }
 
-let SHIFTED_RANK, EXCLUSIONS, DECOMP, RECOMP;
-
-function init$1() {
-	//console.time('nf');
-	let r = read_compressed_payload(COMPRESSED);
-	SHIFTED_RANK = new Map(read_sorted_arrays(r).flatMap((v, i) => v.map(x => [x, (i+1) << 24]))); // pre-shifted
-	EXCLUSIONS = new Set(read_sorted(r));
-	DECOMP = new Map();
-	RECOMP = new Map();
-	for (let [cp, cps] of read_mapped(r)) {
-		if (!EXCLUSIONS.has(cp) && cps.length == 2) {
-			let [a, b] = cps;
-			let bucket = RECOMP.get(a);
-			if (!bucket) {
-				bucket = new Map();
-				RECOMP.set(a, bucket);
-			}
-			bucket.set(b, cp);
-		}
-		DECOMP.set(cp, cps.reverse()); // stored reversed
-	}
-	//console.timeEnd('nf');
-	// 20230905: 11ms
-}
-
-function is_hangul(cp) {
-	return cp >= S0 && cp < S1;
-}
-
-function compose_pair(a, b) {
-	if (a >= L0 && a < L1 && b >= V0 && b < V1) {
-		return S0 + (a - L0) * N_COUNT + (b - V0) * T_COUNT;
-	} else if (is_hangul(a) && b > T0 && b < T1 && (a - S0) % T_COUNT == 0) {
-		return a + (b - T0);
-	} else {
-		let recomp = RECOMP.get(a);
-		if (recomp) {
-			recomp = recomp.get(b);
-			if (recomp) {
-				return recomp;
-			}
-		}
-		return -1;
-	}
-}
-
-function decomposed(cps) {
-	if (!SHIFTED_RANK) init$1();
-	let ret = [];
-	let buf = [];
-	let check_order = false;
-	function add(cp) {
-		let cc = SHIFTED_RANK.get(cp);
-		if (cc) {
-			check_order = true;
-			cp |= cc;
-		}
-		ret.push(cp);
-	}
-	for (let cp of cps) {
-		while (true) {
-			if (cp < 0x80) {
-				ret.push(cp);
-			} else if (is_hangul(cp)) {
-				let s_index = cp - S0;
-				let l_index = s_index / N_COUNT | 0;
-				let v_index = (s_index % N_COUNT) / T_COUNT | 0;
-				let t_index = s_index % T_COUNT;
-				add(L0 + l_index);
-				add(V0 + v_index);
-				if (t_index > 0) add(T0 + t_index);
-			} else {
-				let mapped = DECOMP.get(cp);
-				if (mapped) {
-					buf.push(...mapped);
-				} else {
-					add(cp);
-				}
-			}
-			if (!buf.length) break;
-			cp = buf.pop();
-		}
-	}
-	if (check_order && ret.length > 1) {
-		let prev_cc = unpack_cc(ret[0]);
-		for (let i = 1; i < ret.length; i++) {
-			let cc = unpack_cc(ret[i]);
-			if (cc == 0 || prev_cc <= cc) {
-				prev_cc = cc;
-				continue;
-			}
-			let j = i-1;
-			while (true) {
-				let tmp = ret[j+1];
-				ret[j+1] = ret[j];
-				ret[j] = tmp;
-				if (!j) break;
-				prev_cc = unpack_cc(ret[--j]);
-				if (prev_cc <= cc) break;
-			}
-			prev_cc = unpack_cc(ret[i]);
-		}
-	}
-	return ret;
-}
-
-function composed_from_decomposed(v) {
-	let ret = [];
-	let stack = [];
-	let prev_cp = -1;
-	let prev_cc = 0;
-	for (let packed of v) {
-		let cc = unpack_cc(packed);
-		let cp = unpack_cp(packed);
-		if (prev_cp == -1) {
-			if (cc == 0) {
-				prev_cp = cp;
-			} else {
-				ret.push(cp);
-			}
-		} else if (prev_cc > 0 && prev_cc >= cc) {
-			if (cc == 0) {
-				ret.push(prev_cp, ...stack);
-				stack.length = 0;
-				prev_cp = cp;
-			} else {
-				stack.push(cp);
-			}
-			prev_cc = cc;
-		} else {
-			let composed = compose_pair(prev_cp, cp);
-			if (composed >= 0) {
-				prev_cp = composed;
-			} else if (prev_cc == 0 && cc == 0) {
-				ret.push(prev_cp);
-				prev_cp = cp;
-			} else {
-				stack.push(cp);
-				prev_cc = cc;
-			}
-		}
-	}
-	if (prev_cp >= 0) {
-		ret.push(prev_cp, ...stack);	
-	}
-	return ret;
-}
-
-// note: cps can be iterable
-function nfd(cps) {
-	return decomposed(cps).map(unpack_cp);
-}
-function nfc(cps) {
-	return composed_from_decomposed(decomposed(cps));
-}
-
-const HYPHEN = 0x2D;
-const STOP = 0x2E;
-const STOP_CH = '.';
-const FE0F = 0xFE0F;
-const UNIQUE_PH = 1;
-
-// 20230913: replace [...v] with Array_from(v) to avoid large spreads
-const Array_from = x => Array.from(x); // Array.from.bind(Array);
-
-function group_has_cp(g, cp) {
-	// 20230913: keep primary and secondary distinct instead of creating valid union
-	return g.P.has(cp) || g.Q.has(cp);
-}
-
-class Emoji extends Array {
-	get is_emoji() { return true; } // free tagging system
-}
-
-let MAPPED, IGNORED, CM, NSM, ESCAPE, NFC_CHECK, GROUPS, WHOLE_VALID, WHOLE_MAP, VALID, EMOJI_LIST, EMOJI_ROOT;
-
-function init() {
-	if (MAPPED) return;
-	
-	let r = read_compressed_payload(COMPRESSED$1);
-	const read_sorted_array = () => read_sorted(r);
-	const read_sorted_set = () => new Set(read_sorted_array());
-	const set_add_many = (set, v) => v.forEach(x => set.add(x));
-
-	MAPPED = new Map(read_mapped(r)); 
-	IGNORED = read_sorted_set(); // ignored characters are not valid, so just read raw codepoints
-
-	/*
-	// direct include from payload is smaller than the decompression code
-	const FENCED = new Map(read_array_while(() => {
-		let cp = r();
-		if (cp) return [cp, read_str(r())];
-	}));
-	*/
-	// 20230217: we still need all CM for proper error formatting
-	// but norm only needs NSM subset that are potentially-valid
-	CM = read_sorted_array();
-	NSM = new Set(read_sorted_array().map(i => CM[i]));
-	CM = new Set(CM);
-	
-	ESCAPE = read_sorted_set(); // characters that should not be printed
-	NFC_CHECK = read_sorted_set(); // only needed to illustrate ens_tokenize() transformations
-
-	let chunks = read_sorted_arrays(r);
-	let unrestricted = r();
-	//const read_chunked = () => new Set(read_sorted_array().flatMap(i => chunks[i]).concat(read_sorted_array()));
-	const read_chunked = () => {
-		// 20230921: build set in parts, 2x faster
-		let set = new Set();
-		read_sorted_array().forEach(i => set_add_many(set, chunks[i]));
-		set_add_many(set, read_sorted_array());
-		return set; 
-	};
-	GROUPS = read_array_while(i => {
-		// minifier property mangling seems unsafe
-		// so these are manually renamed to single chars
-		let N = read_array_while(r).map(x => x+0x60);
-		if (N.length) {
-			let R = i >= unrestricted; // unrestricted then restricted
-			N[0] -= 32; // capitalize
-			N = str_from_cps(N);
-			if (R) N=`Restricted[${N}]`;
-			let P = read_chunked(); // primary
-			let Q = read_chunked(); // secondary
-			let M = !r(); // not-whitelisted, check for NSM
-			// *** this code currently isn't needed ***
-			/*
-			let V = [...P, ...Q].sort((a, b) => a-b); // derive: sorted valid
-			let M = r()-1; // number of combining mark
-			if (M < 0) { // whitelisted
-				M = new Map(read_array_while(() => {
-					let i = r();
-					if (i) return [V[i-1], read_array_while(() => {
-						let v = read_array_while(r);
-						if (v.length) return v.map(x => x-1);
-					})];
-				}));
-			}*/
-			return {N, P, Q, M, R};
-		}
-	});
-
-	// decode compressed wholes
-	WHOLE_VALID = read_sorted_set();
-	WHOLE_MAP = new Map();
-	let wholes = read_sorted_array().concat(Array_from(WHOLE_VALID)).sort((a, b) => a-b); // must be sorted
-	wholes.forEach((cp, i) => {
-		let d = r(); 
-		let w = wholes[i] = d ? wholes[i-d] : {V: [], M: new Map()};
-		w.V.push(cp); // add to member set
-		if (!WHOLE_VALID.has(cp)) {
-			WHOLE_MAP.set(cp, w);  // register with whole map
-		}
-	});
-
-	// compute confusable-extent complements
-	// usage: WHOLE_MAP.get(cp).M.get(cp) = complement set
-	for (let {V, M} of new Set(WHOLE_MAP.values())) {
-		// connect all groups that have each whole character
-		let recs = [];
-		for (let cp of V) {
-			let gs = GROUPS.filter(g => group_has_cp(g, cp));
-			let rec = recs.find(({G}) => gs.some(g => G.has(g)));
-			if (!rec) {
-				rec = {G: new Set(), V: []};
-				recs.push(rec);
-			}
-			rec.V.push(cp);
-			set_add_many(rec.G, gs);
-		}
-		// per character cache groups which are not a member of the extent
-		let union = recs.flatMap(x => Array_from(x.G)); // all of the groups used by this whole
-		for (let {G, V} of recs) {
-			let complement = new Set(union.filter(g => !G.has(g))); // groups not covered by the extent
-			for (let cp of V) {
-				M.set(cp, complement); // this is the same reference
-			}
-		}
-	}
-
-	// compute valid set
-	// 20230924: VALID was union but can be re-used
-	VALID = new Set(); // exists in 1+ groups
-	let multi = new Set(); // exists in 2+ groups
-	const add_to_union = cp => VALID.has(cp) ? multi.add(cp) : VALID.add(cp);
-	for (let g of GROUPS) {
-		for (let cp of g.P) add_to_union(cp);
-		for (let cp of g.Q) add_to_union(cp);
-	}
-	// dual purpose WHOLE_MAP: return placeholder if unique non-confusable
-	for (let cp of VALID) {
-		if (!WHOLE_MAP.has(cp) && !multi.has(cp)) {
-			WHOLE_MAP.set(cp, UNIQUE_PH);
-		}
-	}
-	// add all decomposed parts
-	// see derive: "Valid is Closed (via Brute-force)"
-	set_add_many(VALID, nfd(VALID));
-	
-	// decode emoji
-	// 20230719: emoji are now fully-expanded to avoid quirk logic 
-	EMOJI_LIST = read_trie(r).map(v => Emoji.from(v)).sort(compare_arrays);
-	EMOJI_ROOT = new Map(); // this has approx 7K nodes (2+ per emoji)
-	for (let cps of EMOJI_LIST) {
-		// 20230719: change to *slightly* stricter algorithm which disallows 
-		// insertion of misplaced FE0F in emoji sequences (matching ENSIP-15)
-		// example: beautified [A B] (eg. flag emoji) 
-		//  before: allow: [A FE0F B], error: [A FE0F FE0F B] 
-		//   after: error: both
-		// note: this code now matches ENSNormalize.{cs,java} logic
-		let prev = [EMOJI_ROOT];
-		for (let cp of cps) {
-			let next = prev.map(node => {
-				let child = node.get(cp);
-				if (!child) {
-					// should this be object? 
-					// (most have 1-2 items, few have many)
-					// 20230719: no, v8 default map is 4?
-					child = new Map();
-					node.set(cp, child);
-				}
-				return child;
-			});
-			if (cp === FE0F) {
-				prev.push(...next); // less than 20 elements
-			} else {
-				prev = next;
-			}
-		}
-		for (let x of prev) {
-			x.V = cps;
-		}
-	}
-}
-
-// if escaped: {HEX}
-//       else: "x" {HEX}
-function quoted_cp(cp) {
-	return (should_escape(cp) ? '' : `${bidi_qq(safe_str_from_cps([cp]))} `) + quote_cp(cp);
-}
-
-// 20230211: some messages can be mixed-directional and result in spillover
-// use 200E after a quoted string to force the remainder of a string from 
-// acquring the direction of the quote
-// https://www.w3.org/International/questions/qa-bidi-unicode-controls#exceptions
-function bidi_qq(s) {
-	return `"${s}"\u200E`; // strong LTR
-}
-
-function check_label_extension(cps) {
-	if (cps.length >= 4 && cps[2] == HYPHEN && cps[3] == HYPHEN) {
-		throw new Error(`invalid label extension: "${str_from_cps(cps.slice(0, 4))}"`); // this can only be ascii so cant be bidi
-	}
-}
-function check_leading_underscore(cps) {
-	const UNDERSCORE = 0x5F;
-	for (let i = cps.lastIndexOf(UNDERSCORE); i > 0; ) {
-		if (cps[--i] !== UNDERSCORE) {
-			throw new Error('underscore allowed only at start');
-		}
-	}
-}
-// check that a fenced cp is not leading, trailing, or touching another fenced cp
-function check_fenced(cps) {
-	let cp = cps[0];
-	let prev = FENCED.get(cp);
-	if (prev) throw error_placement(`leading ${prev}`);
-	let n = cps.length;
-	let last = -1; // prevents trailing from throwing
-	for (let i = 1; i < n; i++) {
-		cp = cps[i];
-		let match = FENCED.get(cp);
-		if (match) {
-			// since cps[0] isn't fenced, cps[1] cannot throw
-			if (last == i) throw error_placement(`${prev} + ${match}`);
-			last = i + 1;
-			prev = match;
-		}
-	}
-	if (last == n) throw error_placement(`trailing ${prev}`);
-}
-
-// create a safe to print string 
-// invisibles are escaped
-// leading cm uses placeholder
-// if cps exceed max, middle truncate with ellipsis
-// quoter(cp) => string, eg. 3000 => "{3000}"
-// note: in html, you'd call this function then replace [<>&] with entities
-function safe_str_from_cps(cps, max = Infinity, quoter = quote_cp) {
-	//if (Number.isInteger(cps)) cps = [cps];
-	//if (!Array.isArray(cps)) throw new TypeError(`expected codepoints`);
-	let buf = [];
-	if (is_combining_mark(cps[0])) buf.push('◌');
-	if (cps.length > max) {
-		max >>= 1;
-		cps = [...cps.slice(0, max), 0x2026, ...cps.slice(-max)];
-	}
-	let prev = 0;
-	let n = cps.length;
-	for (let i = 0; i < n; i++) {
-		let cp = cps[i];
-		if (should_escape(cp)) {
-			buf.push(str_from_cps(cps.slice(prev, i)));
-			buf.push(quoter(cp));
-			prev = i + 1;
-		}
-	}
-	buf.push(str_from_cps(cps.slice(prev, n)));
-	return buf.join('');
-}
-
-// note: set(s) cannot be exposed because they can be modified
-// note: Object.freeze() doesn't work
-function is_combining_mark(cp) {
-	init();
-	return CM.has(cp);
-}
-function should_escape(cp) {
-	init();
-	return ESCAPE.has(cp);
-}
-
-// return all supported emoji as fully-qualified emoji 
-// ordered by length then lexicographic 
-function ens_emoji() {
-	init();
-	return EMOJI_LIST.map(x => x.slice()); // emoji are exposed so copy
-}
-
-function ens_normalize_fragment(frag, decompose) {
-	init();
-	let nf = decompose ? nfd : nfc;
-	return frag.split(STOP_CH).map(label => str_from_cps(tokens_from_str(explode_cp(label), nf, filter_fe0f).flat())).join(STOP_CH);
-}
-
-function ens_normalize(name) {
-	return flatten(split(name, nfc, filter_fe0f));
-}
-
-function ens_beautify(name) {
-	let labels = split(name, nfc, x => x); // emoji not exposed
-	for (let {type, output, error} of labels) {
-		if (error) break; // flatten will throw
-
-		// replace leading/trailing hyphen
-		// 20230121: consider beautifing all or leading/trailing hyphen to unicode variant
-		// not exactly the same in every font, but very similar: "-" vs "‐"
-		/*
-		const UNICODE_HYPHEN = 0x2010;
-		// maybe this should replace all for visual consistancy?
-		// `node tools/reg-count.js regex ^-\{2,\}` => 592
-		//for (let i = 0; i < output.length; i++) if (output[i] == 0x2D) output[i] = 0x2010;
-		if (output[0] == HYPHEN) output[0] = UNICODE_HYPHEN;
-		let end = output.length-1;
-		if (output[end] == HYPHEN) output[end] = UNICODE_HYPHEN;
-		*/
-		// 20230123: WHATWG URL uses "CheckHyphens" false
-		// https://url.spec.whatwg.org/#idna
-
-		// update ethereum symbol
-		// ξ => Ξ if not greek
-		if (type !== 'Greek') array_replace(output, 0x3BE, 0x39E);
-
-		// 20221213: fixes bidi subdomain issue, but breaks invariant (200E is disallowed)
-		// could be fixed with special case for: 2D (.) + 200E (LTR)
-		// https://discuss.ens.domains/t/bidi-label-ordering-spoof/15824
-		//output.splice(0, 0, 0x200E);
-	}
-	return flatten(labels);
-}
-
-function array_replace(v, a, b) {
-	let prev = 0;
-	while (true) {
-		let next = v.indexOf(a, prev);
-		if (next < 0) break;
-		v[next] = b; 
-		prev = next + 1;
-	}
-}
-
-function ens_split(name, preserve_emoji) {
-	return split(name, nfc, preserve_emoji ? x => x.slice() : filter_fe0f); // emoji are exposed so copy
-}
-
-function split(name, nf, ef) {
-	if (!name) return []; // 20230719: empty name allowance
-	init();
-	let offset = 0;
-	// https://unicode.org/reports/tr46/#Validity_Criteria
-	// 4.) "The label must not contain a U+002E ( . ) FULL STOP."
-	return name.split(STOP_CH).map(label => {
-		let input = explode_cp(label);
-		let info = {
-			input,
-			offset, // codepoint, not substring!
-		};
-		offset += input.length + 1; // + stop
-		try {
-			// 1.) "The label must be in Unicode Normalization Form NFC"
-			let tokens = info.tokens = tokens_from_str(input, nf, ef);
-			let token_count = tokens.length;
-			let type;
-			if (!token_count) { // the label was effectively empty (could of had ignored characters)
-				//norm = [];
-				//type = 'None'; // use this instead of next match, "ASCII"
-				// 20230120: change to strict
-				// https://discuss.ens.domains/t/ens-name-normalization-2nd/14564/59
-				throw new Error(`empty label`);
-			} 
-			let norm = info.output = tokens.flat();
-			check_leading_underscore(norm);
-			let emoji = info.emoji = token_count > 1 || tokens[0].is_emoji; // same as: tokens.some(x => x.is_emoji);
-			if (!emoji && norm.every(cp => cp < 0x80)) { // special case for ascii
-				// 20230123: matches matches WHATWG, see note 3.3
-				check_label_extension(norm); // only needed for ascii
-				// cant have fenced
-				// cant have cm
-				// cant have wholes
-				// see derive: "Fastpath ASCII"
-				type = 'ASCII';
-			} else {
-				let chars = tokens.flatMap(x => x.is_emoji ? [] : x); // all of the nfc tokens concat together
-				if (!chars.length) { // theres no text, just emoji
-					type = 'Emoji';
-				} else {
-					// 5.) "The label must not begin with a combining mark, that is: General_Category=Mark."
-					if (CM.has(norm[0])) throw error_placement('leading combining mark');
-					for (let i = 1; i < token_count; i++) { // we've already checked the first token
-						let cps = tokens[i];
-						if (!cps.is_emoji && CM.has(cps[0])) { // every text token has emoji neighbors, eg. EtEEEtEt...
-							// bidi_qq() not needed since emoji is LTR and cps is a CM
-							throw error_placement(`emoji + combining mark: "${str_from_cps(tokens[i-1])} + ${safe_str_from_cps([cps[0]])}"`); 
-						}
-					}
-					check_fenced(norm);
-					let unique = Array_from(new Set(chars));
-					let [g] = determine_group(unique); // take the first match
-					// see derive: "Matching Groups have Same CM Style"
-					// alternative: could form a hybrid type: Latin/Japanese/...	
-					check_group(g, chars); // need text in order
-					check_whole(g, unique); // only need unique text (order would be required for multiple-char confusables)
-					type = g.N;
-					// 20230121: consider exposing restricted flag
-					// it's simpler to just check for 'Restricted'
-					// or even better: type.endsWith(']')
-					//if (g.R) info.restricted = true;
-				}
-			}
-			info.type = type;
-		} catch (err) {
-			info.error = err; // use full error object
-		}
-		return info;
-	});
-}
-
-function check_whole(group, unique) {
-	let maker;
-	let shared = [];
-	for (let cp of unique) {
-		let whole = WHOLE_MAP.get(cp);
-		if (whole === UNIQUE_PH) return; // unique, non-confusable
-		if (whole) {
-			let set = whole.M.get(cp); // groups which have a character that look-like this character
-			maker = maker ? maker.filter(g => set.has(g)) : Array_from(set);
-			if (!maker.length) return; // confusable intersection is empty
-		} else {
-			shared.push(cp); 
-		}
-	}
-	if (maker) {
-		// we have 1+ confusable
-		// check if any of the remaining groups
-		// contain the shared characters too
-		for (let g of maker) {
-			if (shared.every(cp => group_has_cp(g, cp))) {
-				throw new Error(`whole-script confusable: ${group.N}/${g.N}`);
-			}
-		}
-	}
-}
-
-// assumption: unique.size > 0
-// returns list of matching groups
-function determine_group(unique) {
-	let groups = GROUPS;
-	for (let cp of unique) {
-		// note: we need to dodge CM that are whitelisted
-		// but that code isn't currently necessary
-		let gs = groups.filter(g => group_has_cp(g, cp));
-		if (!gs.length) {
-			if (!GROUPS.some(g => group_has_cp(g, cp))) { 
-				// the character was composed of valid parts
-				// but it's NFC form is invalid
-				// 20230716: change to more exact statement, see: ENSNormalize.{cs,java}
-				// note: this doesn't have to be a composition
-				// 20230720: change to full check
-				throw error_disallowed(cp); // this should be rare
-			} else {
-				// there is no group that contains all these characters
-				// throw using the highest priority group that matched
-				// https://www.unicode.org/reports/tr39/#mixed_script_confusables
-				throw error_group_member(groups[0], cp);
-			}
-		}
-		groups = gs;
-		if (gs.length == 1) break; // there is only one group left
-	}
-	// there are at least 1 group(s) with all of these characters
-	return groups;
-}
-
-// throw on first error
-function flatten(split) {
-	return split.map(({input, error, output}) => {
-		if (error) {
-			// don't print label again if just a single label
-			let msg = error.message;
-			// bidi_qq() only necessary if msg is digits
-			throw new Error(split.length == 1 ? msg : `Invalid label ${bidi_qq(safe_str_from_cps(input, 63))}: ${msg}`); 
-		}
-		return str_from_cps(output);
-	}).join(STOP_CH);
-}
-
-function error_disallowed(cp) {
-	// TODO: add cp to error?
-	return new Error(`disallowed character: ${quoted_cp(cp)}`); 
-}
-function error_group_member(g, cp) {
-	let quoted = quoted_cp(cp);
-	let gg = GROUPS.find(g => g.P.has(cp)); // only check primary
-	if (gg) {
-		quoted = `${gg.N} ${quoted}`;
-	}
-	return new Error(`illegal mixture: ${g.N} + ${quoted}`);
-}
-function error_placement(where) {
-	return new Error(`illegal placement: ${where}`);
-}
-
-// assumption: cps.length > 0
-// assumption: cps[0] isn't a CM
-// assumption: the previous character isn't an emoji
-function check_group(g, cps) {
-	for (let cp of cps) {
-		if (!group_has_cp(g, cp)) {
-			// for whitelisted scripts, this will throw illegal mixture on invalid cm, eg. "e{300}{300}"
-			// at the moment, it's unnecessary to introduce an extra error type
-			// until there exists a whitelisted multi-character
-			//   eg. if (M < 0 && is_combining_mark(cp)) { ... }
-			// there are 3 cases:
-			//   1. illegal cm for wrong group => mixture error
-			//   2. illegal cm for same group => cm error
-			//       requires set of whitelist cm per group: 
-			//        eg. new Set([...g.P, ...g.Q].flatMap(nfc).filter(cp => CM.has(cp)))
-			//   3. wrong group => mixture error
-			throw error_group_member(g, cp);
-		}
-	}
-	//if (M >= 0) { // we have a known fixed cm count
-	if (g.M) { // we need to check for NSM
-		let decomposed = nfd(cps);
-		for (let i = 1, e = decomposed.length; i < e; i++) { // see: assumption
-			// 20230210: bugfix: using cps instead of decomposed h/t Carbon225
-			/*
-			if (CM.has(decomposed[i])) {
-				let j = i + 1;
-				while (j < e && CM.has(decomposed[j])) j++;
-				if (j - i > M) {
-					throw new Error(`too many combining marks: ${g.N} ${bidi_qq(str_from_cps(decomposed.slice(i-1, j)))} (${j-i}/${M})`);
-				}
-				i = j;
-			}
-			*/
-			// 20230217: switch to NSM counting
-			// https://www.unicode.org/reports/tr39/#Optional_Detection
-			if (NSM.has(decomposed[i])) {
-				let j = i + 1;
-				for (let cp; j < e && NSM.has(cp = decomposed[j]); j++) {
-					// a. Forbid sequences of the same nonspacing mark.
-					for (let k = i; k < j; k++) { // O(n^2) but n < 100
-						if (decomposed[k] == cp) {
-							throw new Error(`duplicate non-spacing marks: ${quoted_cp(cp)}`);
-						}
-					}
-				}
-				// parse to end so we have full nsm count
-				// b. Forbid sequences of more than 4 nonspacing marks (gc=Mn or gc=Me).
-				if (j - i > NSM_MAX) {
-					// note: this slice starts with a base char or spacing-mark cm
-					throw new Error(`excessive non-spacing marks: ${bidi_qq(safe_str_from_cps(decomposed.slice(i-1, j)))} (${j-i}/${NSM_MAX})`);
-				}
-				i = j;
-			}
-		}
-	}
-	// *** this code currently isn't needed ***
-	/*
-	let cm_whitelist = M instanceof Map;
-	for (let i = 0, e = cps.length; i < e; ) {
-		let cp = cps[i++];
-		let seqs = cm_whitelist && M.get(cp);
-		if (seqs) { 
-			// list of codepoints that can follow
-			// if this exists, this will always be 1+
-			let j = i;
-			while (j < e && CM.has(cps[j])) j++;
-			let cms = cps.slice(i, j);
-			let match = seqs.find(seq => !compare_arrays(seq, cms));
-			if (!match) throw new Error(`disallowed combining mark sequence: "${safe_str_from_cps([cp, ...cms])}"`);
-			i = j;
-		} else if (!V.has(cp)) {
-			// https://www.unicode.org/reports/tr39/#mixed_script_confusables
-			let quoted = quoted_cp(cp);
-			for (let cp of cps) {
-				let u = UNIQUE.get(cp);
-				if (u && u !== g) {
-					// if both scripts are restricted this error is confusing
-					// because we don't differentiate RestrictedA from RestrictedB 
-					if (!u.R) quoted = `${quoted} is ${u.N}`;
-					break;
-				}
-			}
-			throw new Error(`disallowed ${g.N} character: ${quoted}`);
-			//throw new Error(`disallowed character: ${quoted} (expected ${g.N})`);
-			//throw new Error(`${g.N} does not allow: ${quoted}`);
-		}
-	}
-	if (!cm_whitelist) {
-		let decomposed = nfd(cps);
-		for (let i = 1, e = decomposed.length; i < e; i++) { // we know it can't be cm leading
-			if (CM.has(decomposed[i])) {
-				let j = i + 1;
-				while (j < e && CM.has(decomposed[j])) j++;
-				if (j - i > M) {
-					throw new Error(`too many combining marks: "${str_from_cps(decomposed.slice(i-1, j))}" (${j-i}/${M})`);
-				}
-				i = j;
-			}
-		}
-	}
-	*/
-}
-
-// given a list of codepoints
-// returns a list of lists, where emoji are a fully-qualified (as Array subclass)
-// eg. explode_cp("abc💩d") => [[61, 62, 63], Emoji[1F4A9, FE0F], [64]]
-// 20230818: rename for 'process' name collision h/t Javarome
-// https://github.com/adraffy/ens-normalize.js/issues/23
-function tokens_from_str(input, nf, ef) {
-	let ret = [];
-	let chars = [];
-	input = input.slice().reverse(); // flip so we can pop
-	while (input.length) {
-		let emoji = consume_emoji_reversed(input);
-		if (emoji) {
-			if (chars.length) {
-				ret.push(nf(chars));
-				chars = [];
-			}
-			ret.push(ef(emoji));
-		} else {
-			let cp = input.pop();
-			if (VALID.has(cp)) {
-				chars.push(cp);
-			} else {
-				let cps = MAPPED.get(cp);
-				if (cps) {
-					chars.push(...cps); // less than 10 elements
-				} else if (!IGNORED.has(cp)) {
-					// 20230912: unicode 15.1 changed the order of processing such that
-					// disallowed parts are only rejected after NFC
-					// https://unicode.org/reports/tr46/#Validity_Criteria
-					// this doesn't impact normalization as of today
-					// technically, this error can be removed as the group logic will apply similar logic
-					// however the error type might be less clear
-					throw error_disallowed(cp);
-				}
-			}
-		}
-	}
-	if (chars.length) {
-		ret.push(nf(chars));
-	}
-	return ret;
-}
-
-function filter_fe0f(cps) {
-	return cps.filter(cp => cp != FE0F);
-}
-
-// given array of codepoints
-// returns the longest valid emoji sequence (or undefined if no match)
-// *MUTATES* the supplied array
-// disallows interleaved ignored characters
-// fills (optional) eaten array with matched codepoints
-function consume_emoji_reversed(cps, eaten) {
-	let node = EMOJI_ROOT;
-	let emoji;
-	let pos = cps.length;
-	while (pos) {
-		node = node.get(cps[--pos]);
-		if (!node) break;
-		let {V} = node;
-		if (V) { // this is a valid emoji (so far)
-			emoji = V;
-			if (eaten) eaten.push(...cps.slice(pos).reverse()); // (optional) copy input, used for ens_tokenize()
-			cps.length = pos; // truncate
-		}
-	}
-	return emoji;
-}
-
-// ************************************************************
-// tokenizer 
-
-const TY_VALID = 'valid';
-const TY_MAPPED = 'mapped';
-const TY_IGNORED = 'ignored';
-const TY_DISALLOWED = 'disallowed';
-const TY_EMOJI = 'emoji';
-const TY_NFC = 'nfc';
-const TY_STOP = 'stop';
-
-function ens_tokenize(name, {
-	nf = true, // collapse unnormalized runs into a single token
-} = {}) {
-	init();
-	let input = explode_cp(name).reverse();
-	let eaten = [];
-	let tokens = [];
-	while (input.length) {
-		let emoji = consume_emoji_reversed(input, eaten);
-		if (emoji) {
-			tokens.push({
-				type: TY_EMOJI,
-				emoji: emoji.slice(), // copy emoji
-				input: eaten,
-				cps: filter_fe0f(emoji)
-			});
-			eaten = []; // reset buffer
-		} else {
-			let cp = input.pop();
-			if (cp == STOP) {
-				tokens.push({type: TY_STOP, cp});
-			} else if (VALID.has(cp)) {
-				tokens.push({type: TY_VALID, cps: [cp]});
-			} else if (IGNORED.has(cp)) {
-				tokens.push({type: TY_IGNORED, cp});
-			} else {
-				let cps = MAPPED.get(cp);
-				if (cps) {
-					tokens.push({type: TY_MAPPED, cp, cps: cps.slice()});
-				} else {
-					tokens.push({type: TY_DISALLOWED, cp});
-				}
-			}
-		}
-	}
-	if (nf) {
-		for (let i = 0, start = -1; i < tokens.length; i++) {
-			let token = tokens[i];
-			if (is_valid_or_mapped(token.type)) {
-				if (requires_check(token.cps)) { // normalization might be needed
-					let end = i + 1;
-					for (let pos = end; pos < tokens.length; pos++) { // find adjacent text
-						let {type, cps} = tokens[pos];
-						if (is_valid_or_mapped(type)) {
-							if (!requires_check(cps)) break;
-							end = pos + 1;
-						} else if (type !== TY_IGNORED) { // || type !== TY_DISALLOWED) { 
-							break;
-						}
-					}
-					if (start < 0) start = i;
-					let slice = tokens.slice(start, end);
-					let cps0 = slice.flatMap(x => is_valid_or_mapped(x.type) ? x.cps : []); // strip junk tokens
-					let cps = nfc(cps0);
-					if (compare_arrays(cps, cps0)) { // bundle into an nfc token
-						tokens.splice(start, end - start, {
-							type: TY_NFC, 
-							input: cps0, // there are 3 states: tokens0 ==(process)=> input ==(nfc)=> tokens/cps
-							cps, 
-							tokens0: collapse_valid_tokens(slice),
-							tokens: ens_tokenize(str_from_cps(cps), {nf: false})
-						});
-						i = start;
-					} else { 
-						i = end - 1; // skip to end of slice
-					}
-					start = -1; // reset
-				} else {
-					start = i; // remember last
-				}
-			} else if (token.type !== TY_IGNORED) { // 20221024: is this correct?
-				start = -1; // reset
-			}
-		}
-	}
-	return collapse_valid_tokens(tokens);
-}
-
-function is_valid_or_mapped(type) {
-	return type == TY_VALID || type == TY_MAPPED;
-}
-
-function requires_check(cps) {
-	return cps.some(cp => NFC_CHECK.has(cp));
-}
-
-function collapse_valid_tokens(tokens) {
-	for (let i = 0; i < tokens.length; i++) {
-		if (tokens[i].type == TY_VALID) {
-			let j = i + 1;
-			while (j < tokens.length && tokens[j].type == TY_VALID) j++;
-			tokens.splice(i, j - i, {type: TY_VALID, cps: tokens.slice(i, j).flatMap(x => x.cps)});
-		}
-	}
-	return tokens;
+const HYPHEN = 0x2D;
+const STOP = 0x2E;
+const STOP_CH = '.';
+const FE0F = 0xFE0F;
+const UNIQUE_PH = 1;
+
+// 20230913: replace [...v] with Array_from(v) to avoid large spreads
+const Array_from = x => Array.from(x); // Array.from.bind(Array);
+
+function group_has_cp(g, cp) {
+	// 20230913: keep primary and secondary distinct instead of creating valid union
+	return g.P.has(cp) || g.Q.has(cp);
+}
+
+class Emoji extends Array {
+	get is_emoji() { return true; } // free tagging system
+}
+
+let MAPPED, IGNORED, CM, NSM, ESCAPE, NFC_CHECK, GROUPS, WHOLE_VALID, WHOLE_MAP, VALID, EMOJI_LIST, EMOJI_ROOT;
+
+function init() {
+	if (MAPPED) return;
+	
+	let r = read_compressed_payload(COMPRESSED$1);
+	const read_sorted_array = () => read_sorted(r);
+	const read_sorted_set = () => new Set(read_sorted_array());
+	const set_add_many = (set, v) => v.forEach(x => set.add(x));
+
+	MAPPED = new Map(read_mapped(r)); 
+	IGNORED = read_sorted_set(); // ignored characters are not valid, so just read raw codepoints
+
+	/*
+	// direct include from payload is smaller than the decompression code
+	const FENCED = new Map(read_array_while(() => {
+		let cp = r();
+		if (cp) return [cp, read_str(r())];
+	}));
+	*/
+	// 20230217: we still need all CM for proper error formatting
+	// but norm only needs NSM subset that are potentially-valid
+	CM = read_sorted_array();
+	NSM = new Set(read_sorted_array().map(i => CM[i]));
+	CM = new Set(CM);
+	
+	ESCAPE = read_sorted_set(); // characters that should not be printed
+	NFC_CHECK = read_sorted_set(); // only needed to illustrate ens_tokenize() transformations
+
+	let chunks = read_sorted_arrays(r);
+	let unrestricted = r();
+	//const read_chunked = () => new Set(read_sorted_array().flatMap(i => chunks[i]).concat(read_sorted_array()));
+	const read_chunked = () => {
+		// 20230921: build set in parts, 2x faster
+		let set = new Set();
+		read_sorted_array().forEach(i => set_add_many(set, chunks[i]));
+		set_add_many(set, read_sorted_array());
+		return set; 
+	};
+	GROUPS = read_array_while(i => {
+		// minifier property mangling seems unsafe
+		// so these are manually renamed to single chars
+		let N = read_array_while(r).map(x => x+0x60);
+		if (N.length) {
+			let R = i >= unrestricted; // unrestricted then restricted
+			N[0] -= 32; // capitalize
+			N = str_from_cps(N);
+			if (R) N=`Restricted[${N}]`;
+			let P = read_chunked(); // primary
+			let Q = read_chunked(); // secondary
+			let M = !r(); // not-whitelisted, check for NSM
+			// *** this code currently isn't needed ***
+			/*
+			let V = [...P, ...Q].sort((a, b) => a-b); // derive: sorted valid
+			let M = r()-1; // number of combining mark
+			if (M < 0) { // whitelisted
+				M = new Map(read_array_while(() => {
+					let i = r();
+					if (i) return [V[i-1], read_array_while(() => {
+						let v = read_array_while(r);
+						if (v.length) return v.map(x => x-1);
+					})];
+				}));
+			}*/
+			return {N, P, Q, M, R};
+		}
+	});
+
+	// decode compressed wholes
+	WHOLE_VALID = read_sorted_set();
+	WHOLE_MAP = new Map();
+	let wholes = read_sorted_array().concat(Array_from(WHOLE_VALID)).sort((a, b) => a-b); // must be sorted
+	wholes.forEach((cp, i) => {
+		let d = r(); 
+		let w = wholes[i] = d ? wholes[i-d] : {V: [], M: new Map()};
+		w.V.push(cp); // add to member set
+		if (!WHOLE_VALID.has(cp)) {
+			WHOLE_MAP.set(cp, w);  // register with whole map
+		}
+	});
+
+	// compute confusable-extent complements
+	// usage: WHOLE_MAP.get(cp).M.get(cp) = complement set
+	for (let {V, M} of new Set(WHOLE_MAP.values())) {
+		// connect all groups that have each whole character
+		let recs = [];
+		for (let cp of V) {
+			let gs = GROUPS.filter(g => group_has_cp(g, cp));
+			let rec = recs.find(({G}) => gs.some(g => G.has(g)));
+			if (!rec) {
+				rec = {G: new Set(), V: []};
+				recs.push(rec);
+			}
+			rec.V.push(cp);
+			set_add_many(rec.G, gs);
+		}
+		// per character cache groups which are not a member of the extent
+		let union = recs.flatMap(x => Array_from(x.G)); // all of the groups used by this whole
+		for (let {G, V} of recs) {
+			let complement = new Set(union.filter(g => !G.has(g))); // groups not covered by the extent
+			for (let cp of V) {
+				M.set(cp, complement); // this is the same reference
+			}
+		}
+	}
+
+	// compute valid set
+	// 20230924: VALID was union but can be re-used
+	VALID = new Set(); // exists in 1+ groups
+	let multi = new Set(); // exists in 2+ groups
+	const add_to_union = cp => VALID.has(cp) ? multi.add(cp) : VALID.add(cp);
+	for (let g of GROUPS) {
+		for (let cp of g.P) add_to_union(cp);
+		for (let cp of g.Q) add_to_union(cp);
+	}
+	// dual purpose WHOLE_MAP: return placeholder if unique non-confusable
+	for (let cp of VALID) {
+		if (!WHOLE_MAP.has(cp) && !multi.has(cp)) {
+			WHOLE_MAP.set(cp, UNIQUE_PH);
+		}
+	}
+	// add all decomposed parts
+	// see derive: "Valid is Closed (via Brute-force)"
+	set_add_many(VALID, nfd(VALID));
+	
+	// decode emoji
+	// 20230719: emoji are now fully-expanded to avoid quirk logic 
+	EMOJI_LIST = read_trie(r).map(v => Emoji.from(v)).sort(compare_arrays);
+	EMOJI_ROOT = new Map(); // this has approx 7K nodes (2+ per emoji)
+	for (let cps of EMOJI_LIST) {
+		// 20230719: change to *slightly* stricter algorithm which disallows 
+		// insertion of misplaced FE0F in emoji sequences (matching ENSIP-15)
+		// example: beautified [A B] (eg. flag emoji) 
+		//  before: allow: [A FE0F B], error: [A FE0F FE0F B] 
+		//   after: error: both
+		// note: this code now matches ENSNormalize.{cs,java} logic
+		let prev = [EMOJI_ROOT];
+		for (let cp of cps) {
+			let next = prev.map(node => {
+				let child = node.get(cp);
+				if (!child) {
+					// should this be object? 
+					// (most have 1-2 items, few have many)
+					// 20230719: no, v8 default map is 4?
+					child = new Map();
+					node.set(cp, child);
+				}
+				return child;
+			});
+			if (cp === FE0F) {
+				prev.push(...next); // less than 20 elements
+			} else {
+				prev = next;
+			}
+		}
+		for (let x of prev) {
+			x.V = cps;
+		}
+	}
+}
+
+// if escaped: {HEX}
+//       else: "x" {HEX}
+function quoted_cp(cp) {
+	return (should_escape(cp) ? '' : `${bidi_qq(safe_str_from_cps([cp]))} `) + quote_cp(cp);
+}
+
+// 20230211: some messages can be mixed-directional and result in spillover
+// use 200E after a quoted string to force the remainder of a string from 
+// acquring the direction of the quote
+// https://www.w3.org/International/questions/qa-bidi-unicode-controls#exceptions
+function bidi_qq(s) {
+	return `"${s}"\u200E`; // strong LTR
+}
+
+function check_label_extension(cps) {
+	if (cps.length >= 4 && cps[2] == HYPHEN && cps[3] == HYPHEN) {
+		throw new Error(`invalid label extension: "${str_from_cps(cps.slice(0, 4))}"`); // this can only be ascii so cant be bidi
+	}
+}
+function check_leading_underscore(cps) {
+	const UNDERSCORE = 0x5F;
+	for (let i = cps.lastIndexOf(UNDERSCORE); i > 0; ) {
+		if (cps[--i] !== UNDERSCORE) {
+			throw new Error('underscore allowed only at start');
+		}
+	}
+}
+// check that a fenced cp is not leading, trailing, or touching another fenced cp
+function check_fenced(cps) {
+	let cp = cps[0];
+	let prev = FENCED.get(cp);
+	if (prev) throw error_placement(`leading ${prev}`);
+	let n = cps.length;
+	let last = -1; // prevents trailing from throwing
+	for (let i = 1; i < n; i++) {
+		cp = cps[i];
+		let match = FENCED.get(cp);
+		if (match) {
+			// since cps[0] isn't fenced, cps[1] cannot throw
+			if (last == i) throw error_placement(`${prev} + ${match}`);
+			last = i + 1;
+			prev = match;
+		}
+	}
+	if (last == n) throw error_placement(`trailing ${prev}`);
+}
+
+// create a safe to print string 
+// invisibles are escaped
+// leading cm uses placeholder
+// if cps exceed max, middle truncate with ellipsis
+// quoter(cp) => string, eg. 3000 => "{3000}"
+// note: in html, you'd call this function then replace [<>&] with entities
+function safe_str_from_cps(cps, max = Infinity, quoter = quote_cp) {
+	//if (Number.isInteger(cps)) cps = [cps];
+	//if (!Array.isArray(cps)) throw new TypeError(`expected codepoints`);
+	let buf = [];
+	if (is_combining_mark(cps[0])) buf.push('◌');
+	if (cps.length > max) {
+		max >>= 1;
+		cps = [...cps.slice(0, max), 0x2026, ...cps.slice(-max)];
+	}
+	let prev = 0;
+	let n = cps.length;
+	for (let i = 0; i < n; i++) {
+		let cp = cps[i];
+		if (should_escape(cp)) {
+			buf.push(str_from_cps(cps.slice(prev, i)));
+			buf.push(quoter(cp));
+			prev = i + 1;
+		}
+	}
+	buf.push(str_from_cps(cps.slice(prev, n)));
+	return buf.join('');
+}
+
+// note: set(s) cannot be exposed because they can be modified
+// note: Object.freeze() doesn't work
+function is_combining_mark(cp) {
+	init();
+	return CM.has(cp);
+}
+function should_escape(cp) {
+	init();
+	return ESCAPE.has(cp);
+}
+
+// return all supported emoji as fully-qualified emoji 
+// ordered by length then lexicographic 
+function ens_emoji() {
+	init();
+	return EMOJI_LIST.map(x => x.slice()); // emoji are exposed so copy
+}
+
+function ens_normalize_fragment(frag, decompose) {
+	init();
+	let nf = decompose ? nfd : nfc;
+	return frag.split(STOP_CH).map(label => str_from_cps(tokens_from_str(explode_cp(label), nf, filter_fe0f).flat())).join(STOP_CH);
+}
+
+function ens_normalize(name) {
+	return flatten(split(name, nfc, filter_fe0f));
+}
+
+function ens_beautify(name) {
+	let labels = split(name, nfc, x => x); // emoji not exposed
+	for (let {type, output, error} of labels) {
+		if (error) break; // flatten will throw
+
+		// replace leading/trailing hyphen
+		// 20230121: consider beautifing all or leading/trailing hyphen to unicode variant
+		// not exactly the same in every font, but very similar: "-" vs "‐"
+		/*
+		const UNICODE_HYPHEN = 0x2010;
+		// maybe this should replace all for visual consistancy?
+		// `node tools/reg-count.js regex ^-\{2,\}` => 592
+		//for (let i = 0; i < output.length; i++) if (output[i] == 0x2D) output[i] = 0x2010;
+		if (output[0] == HYPHEN) output[0] = UNICODE_HYPHEN;
+		let end = output.length-1;
+		if (output[end] == HYPHEN) output[end] = UNICODE_HYPHEN;
+		*/
+		// 20230123: WHATWG URL uses "CheckHyphens" false
+		// https://url.spec.whatwg.org/#idna
+
+		// update ethereum symbol
+		// ξ => Ξ if not greek
+		if (type !== 'Greek') array_replace(output, 0x3BE, 0x39E);
+
+		// 20221213: fixes bidi subdomain issue, but breaks invariant (200E is disallowed)
+		// could be fixed with special case for: 2D (.) + 200E (LTR)
+		// https://discuss.ens.domains/t/bidi-label-ordering-spoof/15824
+		//output.splice(0, 0, 0x200E);
+	}
+	return flatten(labels);
+}
+
+function array_replace(v, a, b) {
+	let prev = 0;
+	while (true) {
+		let next = v.indexOf(a, prev);
+		if (next < 0) break;
+		v[next] = b; 
+		prev = next + 1;
+	}
+}
+
+function ens_split(name, preserve_emoji) {
+	return split(name, nfc, preserve_emoji ? x => x.slice() : filter_fe0f); // emoji are exposed so copy
+}
+
+function split(name, nf, ef) {
+	if (!name) return []; // 20230719: empty name allowance
+	init();
+	let offset = 0;
+	// https://unicode.org/reports/tr46/#Validity_Criteria
+	// 4.) "The label must not contain a U+002E ( . ) FULL STOP."
+	return name.split(STOP_CH).map(label => {
+		let input = explode_cp(label);
+		let info = {
+			input,
+			offset, // codepoint, not substring!
+		};
+		offset += input.length + 1; // + stop
+		try {
+			// 1.) "The label must be in Unicode Normalization Form NFC"
+			let tokens = info.tokens = tokens_from_str(input, nf, ef);
+			let token_count = tokens.length;
+			let type;
+			if (!token_count) { // the label was effectively empty (could of had ignored characters)
+				//norm = [];
+				//type = 'None'; // use this instead of next match, "ASCII"
+				// 20230120: change to strict
+				// https://discuss.ens.domains/t/ens-name-normalization-2nd/14564/59
+				throw new Error(`empty label`);
+			} 
+			let norm = info.output = tokens.flat();
+			check_leading_underscore(norm);
+			let emoji = info.emoji = token_count > 1 || tokens[0].is_emoji; // same as: tokens.some(x => x.is_emoji);
+			if (!emoji && norm.every(cp => cp < 0x80)) { // special case for ascii
+				// 20230123: matches matches WHATWG, see note 3.3
+				check_label_extension(norm); // only needed for ascii
+				// cant have fenced
+				// cant have cm
+				// cant have wholes
+				// see derive: "Fastpath ASCII"
+				type = 'ASCII';
+			} else {
+				let chars = tokens.flatMap(x => x.is_emoji ? [] : x); // all of the nfc tokens concat together
+				if (!chars.length) { // theres no text, just emoji
+					type = 'Emoji';
+				} else {
+					// 5.) "The label must not begin with a combining mark, that is: General_Category=Mark."
+					if (CM.has(norm[0])) throw error_placement('leading combining mark');
+					for (let i = 1; i < token_count; i++) { // we've already checked the first token
+						let cps = tokens[i];
+						if (!cps.is_emoji && CM.has(cps[0])) { // every text token has emoji neighbors, eg. EtEEEtEt...
+							// bidi_qq() not needed since emoji is LTR and cps is a CM
+							throw error_placement(`emoji + combining mark: "${str_from_cps(tokens[i-1])} + ${safe_str_from_cps([cps[0]])}"`); 
+						}
+					}
+					check_fenced(norm);
+					let unique = Array_from(new Set(chars));
+					let [g] = determine_group(unique); // take the first match
+					// see derive: "Matching Groups have Same CM Style"
+					// alternative: could form a hybrid type: Latin/Japanese/...	
+					check_group(g, chars); // need text in order
+					check_whole(g, unique); // only need unique text (order would be required for multiple-char confusables)
+					type = g.N;
+					// 20230121: consider exposing restricted flag
+					// it's simpler to just check for 'Restricted'
+					// or even better: type.endsWith(']')
+					//if (g.R) info.restricted = true;
+				}
+			}
+			info.type = type;
+		} catch (err) {
+			info.error = err; // use full error object
+		}
+		return info;
+	});
+}
+
+function check_whole(group, unique) {
+	let maker;
+	let shared = [];
+	for (let cp of unique) {
+		let whole = WHOLE_MAP.get(cp);
+		if (whole === UNIQUE_PH) return; // unique, non-confusable
+		if (whole) {
+			let set = whole.M.get(cp); // groups which have a character that look-like this character
+			maker = maker ? maker.filter(g => set.has(g)) : Array_from(set);
+			if (!maker.length) return; // confusable intersection is empty
+		} else {
+			shared.push(cp); 
+		}
+	}
+	if (maker) {
+		// we have 1+ confusable
+		// check if any of the remaining groups
+		// contain the shared characters too
+		for (let g of maker) {
+			if (shared.every(cp => group_has_cp(g, cp))) {
+				throw new Error(`whole-script confusable: ${group.N}/${g.N}`);
+			}
+		}
+	}
+}
+
+// assumption: unique.size > 0
+// returns list of matching groups
+function determine_group(unique) {
+	let groups = GROUPS;
+	for (let cp of unique) {
+		// note: we need to dodge CM that are whitelisted
+		// but that code isn't currently necessary
+		let gs = groups.filter(g => group_has_cp(g, cp));
+		if (!gs.length) {
+			if (!GROUPS.some(g => group_has_cp(g, cp))) { 
+				// the character was composed of valid parts
+				// but it's NFC form is invalid
+				// 20230716: change to more exact statement, see: ENSNormalize.{cs,java}
+				// note: this doesn't have to be a composition
+				// 20230720: change to full check
+				throw error_disallowed(cp); // this should be rare
+			} else {
+				// there is no group that contains all these characters
+				// throw using the highest priority group that matched
+				// https://www.unicode.org/reports/tr39/#mixed_script_confusables
+				throw error_group_member(groups[0], cp);
+			}
+		}
+		groups = gs;
+		if (gs.length == 1) break; // there is only one group left
+	}
+	// there are at least 1 group(s) with all of these characters
+	return groups;
+}
+
+// throw on first error
+function flatten(split) {
+	return split.map(({input, error, output}) => {
+		if (error) {
+			// don't print label again if just a single label
+			let msg = error.message;
+			// bidi_qq() only necessary if msg is digits
+			throw new Error(split.length == 1 ? msg : `Invalid label ${bidi_qq(safe_str_from_cps(input, 63))}: ${msg}`); 
+		}
+		return str_from_cps(output);
+	}).join(STOP_CH);
+}
+
+function error_disallowed(cp) {
+	// TODO: add cp to error?
+	return new Error(`disallowed character: ${quoted_cp(cp)}`); 
+}
+function error_group_member(g, cp) {
+	let quoted = quoted_cp(cp);
+	let gg = GROUPS.find(g => g.P.has(cp)); // only check primary
+	if (gg) {
+		quoted = `${gg.N} ${quoted}`;
+	}
+	return new Error(`illegal mixture: ${g.N} + ${quoted}`);
+}
+function error_placement(where) {
+	return new Error(`illegal placement: ${where}`);
+}
+
+// assumption: cps.length > 0
+// assumption: cps[0] isn't a CM
+// assumption: the previous character isn't an emoji
+function check_group(g, cps) {
+	for (let cp of cps) {
+		if (!group_has_cp(g, cp)) {
+			// for whitelisted scripts, this will throw illegal mixture on invalid cm, eg. "e{300}{300}"
+			// at the moment, it's unnecessary to introduce an extra error type
+			// until there exists a whitelisted multi-character
+			//   eg. if (M < 0 && is_combining_mark(cp)) { ... }
+			// there are 3 cases:
+			//   1. illegal cm for wrong group => mixture error
+			//   2. illegal cm for same group => cm error
+			//       requires set of whitelist cm per group: 
+			//        eg. new Set([...g.P, ...g.Q].flatMap(nfc).filter(cp => CM.has(cp)))
+			//   3. wrong group => mixture error
+			throw error_group_member(g, cp);
+		}
+	}
+	//if (M >= 0) { // we have a known fixed cm count
+	if (g.M) { // we need to check for NSM
+		let decomposed = nfd(cps);
+		for (let i = 1, e = decomposed.length; i < e; i++) { // see: assumption
+			// 20230210: bugfix: using cps instead of decomposed h/t Carbon225
+			/*
+			if (CM.has(decomposed[i])) {
+				let j = i + 1;
+				while (j < e && CM.has(decomposed[j])) j++;
+				if (j - i > M) {
+					throw new Error(`too many combining marks: ${g.N} ${bidi_qq(str_from_cps(decomposed.slice(i-1, j)))} (${j-i}/${M})`);
+				}
+				i = j;
+			}
+			*/
+			// 20230217: switch to NSM counting
+			// https://www.unicode.org/reports/tr39/#Optional_Detection
+			if (NSM.has(decomposed[i])) {
+				let j = i + 1;
+				for (let cp; j < e && NSM.has(cp = decomposed[j]); j++) {
+					// a. Forbid sequences of the same nonspacing mark.
+					for (let k = i; k < j; k++) { // O(n^2) but n < 100
+						if (decomposed[k] == cp) {
+							throw new Error(`duplicate non-spacing marks: ${quoted_cp(cp)}`);
+						}
+					}
+				}
+				// parse to end so we have full nsm count
+				// b. Forbid sequences of more than 4 nonspacing marks (gc=Mn or gc=Me).
+				if (j - i > NSM_MAX) {
+					// note: this slice starts with a base char or spacing-mark cm
+					throw new Error(`excessive non-spacing marks: ${bidi_qq(safe_str_from_cps(decomposed.slice(i-1, j)))} (${j-i}/${NSM_MAX})`);
+				}
+				i = j;
+			}
+		}
+	}
+	// *** this code currently isn't needed ***
+	/*
+	let cm_whitelist = M instanceof Map;
+	for (let i = 0, e = cps.length; i < e; ) {
+		let cp = cps[i++];
+		let seqs = cm_whitelist && M.get(cp);
+		if (seqs) { 
+			// list of codepoints that can follow
+			// if this exists, this will always be 1+
+			let j = i;
+			while (j < e && CM.has(cps[j])) j++;
+			let cms = cps.slice(i, j);
+			let match = seqs.find(seq => !compare_arrays(seq, cms));
+			if (!match) throw new Error(`disallowed combining mark sequence: "${safe_str_from_cps([cp, ...cms])}"`);
+			i = j;
+		} else if (!V.has(cp)) {
+			// https://www.unicode.org/reports/tr39/#mixed_script_confusables
+			let quoted = quoted_cp(cp);
+			for (let cp of cps) {
+				let u = UNIQUE.get(cp);
+				if (u && u !== g) {
+					// if both scripts are restricted this error is confusing
+					// because we don't differentiate RestrictedA from RestrictedB 
+					if (!u.R) quoted = `${quoted} is ${u.N}`;
+					break;
+				}
+			}
+			throw new Error(`disallowed ${g.N} character: ${quoted}`);
+			//throw new Error(`disallowed character: ${quoted} (expected ${g.N})`);
+			//throw new Error(`${g.N} does not allow: ${quoted}`);
+		}
+	}
+	if (!cm_whitelist) {
+		let decomposed = nfd(cps);
+		for (let i = 1, e = decomposed.length; i < e; i++) { // we know it can't be cm leading
+			if (CM.has(decomposed[i])) {
+				let j = i + 1;
+				while (j < e && CM.has(decomposed[j])) j++;
+				if (j - i > M) {
+					throw new Error(`too many combining marks: "${str_from_cps(decomposed.slice(i-1, j))}" (${j-i}/${M})`);
+				}
+				i = j;
+			}
+		}
+	}
+	*/
+}
+
+// given a list of codepoints
+// returns a list of lists, where emoji are a fully-qualified (as Array subclass)
+// eg. explode_cp("abc💩d") => [[61, 62, 63], Emoji[1F4A9, FE0F], [64]]
+// 20230818: rename for 'process' name collision h/t Javarome
+// https://github.com/adraffy/ens-normalize.js/issues/23
+function tokens_from_str(input, nf, ef) {
+	let ret = [];
+	let chars = [];
+	input = input.slice().reverse(); // flip so we can pop
+	while (input.length) {
+		let emoji = consume_emoji_reversed(input);
+		if (emoji) {
+			if (chars.length) {
+				ret.push(nf(chars));
+				chars = [];
+			}
+			ret.push(ef(emoji));
+		} else {
+			let cp = input.pop();
+			if (VALID.has(cp)) {
+				chars.push(cp);
+			} else {
+				let cps = MAPPED.get(cp);
+				if (cps) {
+					chars.push(...cps); // less than 10 elements
+				} else if (!IGNORED.has(cp)) {
+					// 20230912: unicode 15.1 changed the order of processing such that
+					// disallowed parts are only rejected after NFC
+					// https://unicode.org/reports/tr46/#Validity_Criteria
+					// this doesn't impact normalization as of today
+					// technically, this error can be removed as the group logic will apply similar logic
+					// however the error type might be less clear
+					throw error_disallowed(cp);
+				}
+			}
+		}
+	}
+	if (chars.length) {
+		ret.push(nf(chars));
+	}
+	return ret;
+}
+
+function filter_fe0f(cps) {
+	return cps.filter(cp => cp != FE0F);
+}
+
+// given array of codepoints
+// returns the longest valid emoji sequence (or undefined if no match)
+// *MUTATES* the supplied array
+// disallows interleaved ignored characters
+// fills (optional) eaten array with matched codepoints
+function consume_emoji_reversed(cps, eaten) {
+	let node = EMOJI_ROOT;
+	let emoji;
+	let pos = cps.length;
+	while (pos) {
+		node = node.get(cps[--pos]);
+		if (!node) break;
+		let {V} = node;
+		if (V) { // this is a valid emoji (so far)
+			emoji = V;
+			if (eaten) eaten.push(...cps.slice(pos).reverse()); // (optional) copy input, used for ens_tokenize()
+			cps.length = pos; // truncate
+		}
+	}
+	return emoji;
+}
+
+// ************************************************************
+// tokenizer 
+
+const TY_VALID = 'valid';
+const TY_MAPPED = 'mapped';
+const TY_IGNORED = 'ignored';
+const TY_DISALLOWED = 'disallowed';
+const TY_EMOJI = 'emoji';
+const TY_NFC = 'nfc';
+const TY_STOP = 'stop';
+
+function ens_tokenize(name, {
+	nf = true, // collapse unnormalized runs into a single token
+} = {}) {
+	init();
+	let input = explode_cp(name).reverse();
+	let eaten = [];
+	let tokens = [];
+	while (input.length) {
+		let emoji = consume_emoji_reversed(input, eaten);
+		if (emoji) {
+			tokens.push({
+				type: TY_EMOJI,
+				emoji: emoji.slice(), // copy emoji
+				input: eaten,
+				cps: filter_fe0f(emoji)
+			});
+			eaten = []; // reset buffer
+		} else {
+			let cp = input.pop();
+			if (cp == STOP) {
+				tokens.push({type: TY_STOP, cp});
+			} else if (VALID.has(cp)) {
+				tokens.push({type: TY_VALID, cps: [cp]});
+			} else if (IGNORED.has(cp)) {
+				tokens.push({type: TY_IGNORED, cp});
+			} else {
+				let cps = MAPPED.get(cp);
+				if (cps) {
+					tokens.push({type: TY_MAPPED, cp, cps: cps.slice()});
+				} else {
+					tokens.push({type: TY_DISALLOWED, cp});
+				}
+			}
+		}
+	}
+	if (nf) {
+		for (let i = 0, start = -1; i < tokens.length; i++) {
+			let token = tokens[i];
+			if (is_valid_or_mapped(token.type)) {
+				if (requires_check(token.cps)) { // normalization might be needed
+					let end = i + 1;
+					for (let pos = end; pos < tokens.length; pos++) { // find adjacent text
+						let {type, cps} = tokens[pos];
+						if (is_valid_or_mapped(type)) {
+							if (!requires_check(cps)) break;
+							end = pos + 1;
+						} else if (type !== TY_IGNORED) { // || type !== TY_DISALLOWED) { 
+							break;
+						}
+					}
+					if (start < 0) start = i;
+					let slice = tokens.slice(start, end);
+					let cps0 = slice.flatMap(x => is_valid_or_mapped(x.type) ? x.cps : []); // strip junk tokens
+					let cps = nfc(cps0);
+					if (compare_arrays(cps, cps0)) { // bundle into an nfc token
+						tokens.splice(start, end - start, {
+							type: TY_NFC, 
+							input: cps0, // there are 3 states: tokens0 ==(process)=> input ==(nfc)=> tokens/cps
+							cps, 
+							tokens0: collapse_valid_tokens(slice),
+							tokens: ens_tokenize(str_from_cps(cps), {nf: false})
+						});
+						i = start;
+					} else { 
+						i = end - 1; // skip to end of slice
+					}
+					start = -1; // reset
+				} else {
+					start = i; // remember last
+				}
+			} else if (token.type !== TY_IGNORED) { // 20221024: is this correct?
+				start = -1; // reset
+			}
+		}
+	}
+	return collapse_valid_tokens(tokens);
+}
+
+function is_valid_or_mapped(type) {
+	return type == TY_VALID || type == TY_MAPPED;
+}
+
+function requires_check(cps) {
+	return cps.some(cp => NFC_CHECK.has(cp));
+}
+
+function collapse_valid_tokens(tokens) {
+	for (let i = 0; i < tokens.length; i++) {
+		if (tokens[i].type == TY_VALID) {
+			let j = i + 1;
+			while (j < tokens.length && tokens[j].type == TY_VALID) j++;
+			tokens.splice(i, j - i, {type: TY_VALID, cps: tokens.slice(i, j).flatMap(x => x.cps)});
+		}
+	}
+	return tokens;
 }