var bigInt = (function(undefined) {
  'use strict';
  var BASE = 1e7,
    LOG_BASE = 7,
    MAX_INT = 9007199254740992,
    MAX_INT_ARR = smallToArray(MAX_INT),
    LOG_MAX_INT = Math.log(MAX_INT);
  function Integer(v, radix) {
    if (typeof v === 'undefined') return Integer[0];
    if (typeof radix !== 'undefined')
      return +radix === 10 ? parseValue(v) : parseBase(v, radix);
    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 isPrecise(n) {
    return -MAX_INT < n && n < MAX_INT;
  }
  function smallToArray(n) {
    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) {
    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) {
    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) {
    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) {
    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;
  function subtract(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) {
    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;
  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;
  };
  BigInteger.prototype.abs = function() {
    return new BigInteger(this.value, false);
  };
  SmallInteger.prototype.abs = function() {
    return new SmallInteger(Math.abs(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) {
    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;
  }
  function useKaratsuba(l1, l2) {
    return -0.012 * l1 - 0.012 * l2 + 15e-6 * 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))
      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) {
    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;
  function square(a) {
    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);
  };
  function divMod1(a, b) {
    var a_l = a.length,
      b_l = b.length,
      base = BASE,
      result = createArray(b.length),
      divisorMostSignificantDigit = b[b_l - 1],
      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
        );
      }
      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;
    }
    remainder = divModSmall(remainder, lambda)[0];
    return [arrayToSmall(result), arrayToSmall(remainder)];
  }
  function divMod2(a, b) {
    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);
    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]];
    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] };
  };
  SmallInteger.prototype.divmod = BigInteger.prototype.divmod;
  BigInteger.prototype.divide = function(v) {
    return divModAny(this, v)[0];
  };
  SmallInteger.prototype.over = SmallInteger.prototype.divide = BigInteger.prototype.over =
    BigInteger.prototype.divide;
  BigInteger.prototype.mod = function(v) {
    return divModAny(this, v)[1];
  };
  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;
  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;
  };
  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;
  };
  BigInteger.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 (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;
  BigInteger.prototype.equals = function(v) {
    return this.compare(v) === 0;
  };
  SmallInteger.prototype.eq = SmallInteger.prototype.equals = BigInteger.prototype.eq =
    BigInteger.prototype.equals;
  BigInteger.prototype.notEquals = function(v) {
    return this.compare(v) !== 0;
  };
  SmallInteger.prototype.neq = SmallInteger.prototype.notEquals = BigInteger.prototype.neq =
    BigInteger.prototype.notEquals;
  BigInteger.prototype.greater = function(v) {
    return this.compare(v) > 0;
  };
  SmallInteger.prototype.gt = SmallInteger.prototype.greater = BigInteger.prototype.gt =
    BigInteger.prototype.greater;
  BigInteger.prototype.lesser = function(v) {
    return this.compare(v) < 0;
  };
  SmallInteger.prototype.lt = SmallInteger.prototype.lesser = BigInteger.prototype.lt =
    BigInteger.prototype.lesser;
  BigInteger.prototype.greaterOrEquals = function(v) {
    return this.compare(v) >= 0;
  };
  SmallInteger.prototype.geq = SmallInteger.prototype.greaterOrEquals = BigInteger.prototype.geq =
    BigInteger.prototype.greaterOrEquals;
  BigInteger.prototype.lesserOrEquals = function(v) {
    return this.compare(v) <= 0;
  };
  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;
  };
  BigInteger.prototype.isOdd = function() {
    return (this.value[0] & 1) === 1;
  };
  SmallInteger.prototype.isOdd = function() {
    return (this.value & 1) === 1;
  };
  BigInteger.prototype.isPositive = function() {
    return !this.sign;
  };
  SmallInteger.prototype.isPositive = function() {
    return this.value > 0;
  };
  BigInteger.prototype.isNegative = function() {
    return this.sign;
  };
  SmallInteger.prototype.isNegative = function() {
    return this.value < 0;
  };
  BigInteger.prototype.isUnit = function() {
    return false;
  };
  SmallInteger.prototype.isUnit = function() {
    return Math.abs(this.value) === 1;
  };
  BigInteger.prototype.isZero = function() {
    return false;
  };
  SmallInteger.prototype.isZero = function() {
    return this.value === 0;
  };
  BigInteger.prototype.isDivisibleBy = function(v) {
    var n = parseValue(v);
    var value = n.value;
    if (value === 0) return false;
    if (value === 1) return true;
    if (value === 2) return this.isEven();
    return this.mod(n).equals(Integer[0]);
  };
  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;
  }
  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.equals(Integer[1]) || 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;
  }
  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,
        325,
        9375,
        28178,
        450775,
        9780504,
        1795265022
      ]);
    var logN = Math.log(2) * bits;
    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);
  };
  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);
  };
  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.equals(bigInt.zero)) {
      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.equals(1))
      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;
  };
  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);
  };
  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);
  };
  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 (
      ((typeof n === 'number' || typeof n === 'string') &&
        +Math.abs(n) <= BASE) ||
      (n instanceof BigInteger && n.value.length <= 1)
    );
  }
  BigInteger.prototype.shiftLeft = function(n) {
    if (!shift_isSmall(n)) {
      throw new Error(String(n) + ' is too large for shifting.');
    }
    n = +n;
    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]);
  };
  SmallInteger.prototype.shiftLeft = BigInteger.prototype.shiftLeft;
  BigInteger.prototype.shiftRight = function(n) {
    var remQuo;
    if (!shift_isSmall(n)) {
      throw new Error(String(n) + ' is too large for shifting.');
    }
    n = +n;
    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];
  };
  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;
      }
      yDivMod = divModAny(yRem, highestPower2);
      yDigit = yDivMod[1].toJSNumber();
      if (ySign) {
        yDigit = highestPower2 - 1 - yDigit;
      }
      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();
  };
  SmallInteger.prototype.not = BigInteger.prototype.not;
  BigInteger.prototype.and = function(n) {
    return bitwise(this, n, function(a, b) {
      return a & b;
    });
  };
  SmallInteger.prototype.and = BigInteger.prototype.and;
  BigInteger.prototype.or = function(n) {
    return bitwise(this, n, function(a, b) {
      return a | b;
    });
  };
  SmallInteger.prototype.or = BigInteger.prototype.or;
  BigInteger.prototype.xor = function(n) {
    return bitwise(this, n, function(a, b) {
      return a ^ b;
    });
  };
  SmallInteger.prototype.xor = BigInteger.prototype.xor;
  var LOBMASK_I = 1 << 30,
    LOBMASK_BI = ((BASE & -BASE) * (BASE & -BASE)) | LOBMASK_I;
  function roughLOB(n) {
    var v = n.value,
      x =
        typeof v === 'number'
          ? v | 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));
  };
  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 = Math.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 length = range.value.length - 1;
    var result = [],
      restricted = true;
    for (var i = length; i >= 0; i--) {
      var top = restricted ? range.value[i] : BASE;
      var digit = truncate(Math.random() * top);
      result.unshift(digit);
      if (digit < top) restricted = false;
    }
    result = arrayToSmall(result);
    return low.add(
      typeof result === 'number'
        ? new SmallInteger(result)
        : new BigInteger(result, false)
    );
  }
  var parseBase = function(text, base) {
    var length = text.length;
    var i;
    var absBase = Math.abs(base);
    for (var i = 0; i < length; i++) {
      var c = text[i].toLowerCase();
      if (c === '-') continue;
      if (/[a-z0-9]/.test(c)) {
        if (/[0-9]/.test(c) && +c >= absBase) {
          if (c === '1' && absBase === 1) continue;
          throw new Error(c + ' is not a valid digit in base ' + base + '.');
        } else if (c.charCodeAt(0) - 87 >= absBase) {
          throw new Error(c + ' is not a valid digit in base ' + base + '.');
        }
      }
    }
    if (2 <= base && base <= 36) {
      if (length <= LOG_MAX_INT / Math.log(base)) {
        var result = parseInt(text, base);
        if (isNaN(result)) {
          throw new Error(c + ' is not a valid digit in base ' + base + '.');
        }
        return new SmallInteger(parseInt(text, base));
      }
    }
    base = parseValue(base);
    var digits = [];
    var isNegative = text[0] === '-';
    for (i = isNegative ? 1 : 0; i < text.length; i++) {
      var c = text[i].toLowerCase(),
        charCode = c.charCodeAt(0);
      if (48 <= charCode && charCode <= 57) digits.push(parseValue(c));
      else if (97 <= charCode && charCode <= 122)
        digits.push(parseValue(c.charCodeAt(0) - 87));
      else if (c === '<') {
        var start = i;
        do {
          i++;
        } while (text[i] !== '>');
        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) {
    if (digit <= 35) {
      return '0123456789abcdefghijklmnopqrstuvwxyz'.charAt(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)).map(Array.prototype.valueOf, [1, 0])
          ),
          isNegative: false
        };
      var arr = Array.apply(null, Array(+n - 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.equals(1)) {
      if (n.isZero()) return { value: [0], isNegative: false };
      return {
        value: Array.apply(null, Array(+n)).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) {
    var arr = toBase(n, base);
    return (arr.isNegative ? '-' : '') + arr.value.map(stringify).join('');
  }
  BigInteger.prototype.toArray = function(radix) {
    return toBase(this, radix);
  };
  SmallInteger.prototype.toArray = function(radix) {
    return toBase(this, radix);
  };
  BigInteger.prototype.toString = function(radix) {
    if (radix === undefined) radix = 10;
    if (radix !== 10) return toBaseString(this, radix);
    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) {
    if (radix === undefined) radix = 10;
    if (radix != 10) return toBaseString(this, radix);
    return String(this.value);
  };
  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;
  function parseStringValue(v) {
    if (isPrecise(+v)) {
      var x = +v;
      if (x === truncate(x)) return 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);
    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 (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);
    }
    return v;
  }
  for (var i = 0; i < 1e3; i++) {
    Integer[i] = new SmallInteger(i);
    if (i > 0) Integer[-i] = new SmallInteger(-i);
  }
  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;
  };
  Integer.randBetween = randBetween;
  Integer.fromArray = function(digits, base, isNegative) {
    return parseBaseFromArray(
      digits.map(parseValue),
      parseValue(base || 10),
      isNegative
    );
  };
  return Integer;
})();
if (typeof module !== 'undefined' && module.hasOwnProperty('exports')) {
  module.exports = bigInt;
}
if (typeof define === 'function' && define.amd) {
  define('big-integer', [], function() {
    return bigInt;
  });
}

function substract(a, b) {
  if (a.eq(0) || b.eq(0)) {
    return { a, b };
  } else if (a.greaterOrEquals(b.multiply(2))) {
    a = a.mod(b.multiply(2));
    return substract(a, b);
  } else if (b.greaterOrEquals(a.multiply(2))) {
    b = b.mod(a.multiply(2));
    return substract(a, b);
  } else {
    return { a, b };
  }
}

const nd = readline().split(' ');

const result = substract(bigInt(nd[0]), bigInt(nd[1]));

print(result.a.toString() + ' ' + result.b.toString() + '\n');


var bigInt = (function(undefined) {
  'use strict';
  var BASE = 1e7,
    LOG_BASE = 7,
    MAX_INT = 9007199254740992,
    MAX_INT_ARR = smallToArray(MAX_INT),
    LOG_MAX_INT = Math.log(MAX_INT);
  function Integer(v, radix) {
    if (typeof v === 'undefined') return Integer[0];
    if (typeof radix !== 'undefined')
      return +radix === 10 ? parseValue(v) : parseBase(v, radix);
    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 isPrecise(n) {
    return -MAX_INT < n && n < MAX_INT;
  }
  function smallToArray(n) {
    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) {
    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) {
    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) {
    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) {
    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;
  function subtract(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) {
    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;
  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;
  };
  BigInteger.prototype.abs = function() {
    return new BigInteger(this.value, false);
  };
  SmallInteger.prototype.abs = function() {
    return new SmallInteger(Math.abs(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) {
    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;
  }
  function useKaratsuba(l1, l2) {
    return -0.012 * l1 - 0.012 * l2 + 15e-6 * 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))
      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) {
    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;
  function square(a) {
    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);
  };
  function divMod1(a, b) {
    var a_l = a.length,
      b_l = b.length,
      base = BASE,
      result = createArray(b.length),
      divisorMostSignificantDigit = b[b_l - 1],
      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
        );
      }
      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;
    }
    remainder = divModSmall(remainder, lambda)[0];
    return [arrayToSmall(result), arrayToSmall(remainder)];
  }
  function divMod2(a, b) {
    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);
    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]];
    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] };
  };
  SmallInteger.prototype.divmod = BigInteger.prototype.divmod;
  BigInteger.prototype.divide = function(v) {
    return divModAny(this, v)[0];
  };
  SmallInteger.prototype.over = SmallInteger.prototype.divide = BigInteger.prototype.over =
    BigInteger.prototype.divide;
  BigInteger.prototype.mod = function(v) {
    return divModAny(this, v)[1];
  };
  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;
  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;
  };
  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;
  };
  BigInteger.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 (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;
  BigInteger.prototype.equals = function(v) {
    return this.compare(v) === 0;
  };
  SmallInteger.prototype.eq = SmallInteger.prototype.equals = BigInteger.prototype.eq =
    BigInteger.prototype.equals;
  BigInteger.prototype.notEquals = function(v) {
    return this.compare(v) !== 0;
  };
  SmallInteger.prototype.neq = SmallInteger.prototype.notEquals = BigInteger.prototype.neq =
    BigInteger.prototype.notEquals;
  BigInteger.prototype.greater = function(v) {
    return this.compare(v) > 0;
  };
  SmallInteger.prototype.gt = SmallInteger.prototype.greater = BigInteger.prototype.gt =
    BigInteger.prototype.greater;
  BigInteger.prototype.lesser = function(v) {
    return this.compare(v) < 0;
  };
  SmallInteger.prototype.lt = SmallInteger.prototype.lesser = BigInteger.prototype.lt =
    BigInteger.prototype.lesser;
  BigInteger.prototype.greaterOrEquals = function(v) {
    return this.compare(v) >= 0;
  };
  SmallInteger.prototype.geq = SmallInteger.prototype.greaterOrEquals = BigInteger.prototype.geq =
    BigInteger.prototype.greaterOrEquals;
  BigInteger.prototype.lesserOrEquals = function(v) {
    return this.compare(v) <= 0;
  };
  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;
  };
  BigInteger.prototype.isOdd = function() {
    return (this.value[0] & 1) === 1;
  };
  SmallInteger.prototype.isOdd = function() {
    return (this.value & 1) === 1;
  };
  BigInteger.prototype.isPositive = function() {
    return !this.sign;
  };
  SmallInteger.prototype.isPositive = function() {
    return this.value > 0;
  };
  BigInteger.prototype.isNegative = function() {
    return this.sign;
  };
  SmallInteger.prototype.isNegative = function() {
    return this.value < 0;
  };
  BigInteger.prototype.isUnit = function() {
    return false;
  };
  SmallInteger.prototype.isUnit = function() {
    return Math.abs(this.value) === 1;
  };
  BigInteger.prototype.isZero = function() {
    return false;
  };
  SmallInteger.prototype.isZero = function() {
    return this.value === 0;
  };
  BigInteger.prototype.isDivisibleBy = function(v) {
    var n = parseValue(v);
    var value = n.value;
    if (value === 0) return false;
    if (value === 1) return true;
    if (value === 2) return this.isEven();
    return this.mod(n).equals(Integer[0]);
  };
  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;
  }
  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.equals(Integer[1]) || 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;
  }
  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,
        325,
        9375,
        28178,
        450775,
        9780504,
        1795265022
      ]);
    var logN = Math.log(2) * bits;
    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);
  };
  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);
  };
  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.equals(bigInt.zero)) {
      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.equals(1))
      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;
  };
  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);
  };
  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);
  };
  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 (
      ((typeof n === 'number' || typeof n === 'string') &&
        +Math.abs(n) <= BASE) ||
      (n instanceof BigInteger && n.value.length <= 1)
    );
  }
  BigInteger.prototype.shiftLeft = function(n) {
    if (!shift_isSmall(n)) {
      throw new Error(String(n) + ' is too large for shifting.');
    }
    n = +n;
    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]);
  };
  SmallInteger.prototype.shiftLeft = BigInteger.prototype.shiftLeft;
  BigInteger.prototype.shiftRight = function(n) {
    var remQuo;
    if (!shift_isSmall(n)) {
      throw new Error(String(n) + ' is too large for shifting.');
    }
    n = +n;
    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];
  };
  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;
      }
      yDivMod = divModAny(yRem, highestPower2);
      yDigit = yDivMod[1].toJSNumber();
      if (ySign) {
        yDigit = highestPower2 - 1 - yDigit;
      }
      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();
  };
  SmallInteger.prototype.not = BigInteger.prototype.not;
  BigInteger.prototype.and = function(n) {
    return bitwise(this, n, function(a, b) {
      return a & b;
    });
  };
  SmallInteger.prototype.and = BigInteger.prototype.and;
  BigInteger.prototype.or = function(n) {
    return bitwise(this, n, function(a, b) {
      return a | b;
    });
  };
  SmallInteger.prototype.or = BigInteger.prototype.or;
  BigInteger.prototype.xor = function(n) {
    return bitwise(this, n, function(a, b) {
      return a ^ b;
    });
  };
  SmallInteger.prototype.xor = BigInteger.prototype.xor;
  var LOBMASK_I = 1 << 30,
    LOBMASK_BI = ((BASE & -BASE) * (BASE & -BASE)) | LOBMASK_I;
  function roughLOB(n) {
    var v = n.value,
      x =
        typeof v === 'number'
          ? v | 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));
  };
  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 = Math.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 length = range.value.length - 1;
    var result = [],
      restricted = true;
    for (var i = length; i >= 0; i--) {
      var top = restricted ? range.value[i] : BASE;
      var digit = truncate(Math.random() * top);
      result.unshift(digit);
      if (digit < top) restricted = false;
    }
    result = arrayToSmall(result);
    return low.add(
      typeof result === 'number'
        ? new SmallInteger(result)
        : new BigInteger(result, false)
    );
  }
  var parseBase = function(text, base) {
    var length = text.length;
    var i;
    var absBase = Math.abs(base);
    for (var i = 0; i < length; i++) {
      var c = text[i].toLowerCase();
      if (c === '-') continue;
      if (/[a-z0-9]/.test(c)) {
        if (/[0-9]/.test(c) && +c >= absBase) {
          if (c === '1' && absBase === 1) continue;
          throw new Error(c + ' is not a valid digit in base ' + base + '.');
        } else if (c.charCodeAt(0) - 87 >= absBase) {
          throw new Error(c + ' is not a valid digit in base ' + base + '.');
        }
      }
    }
    if (2 <= base && base <= 36) {
      if (length <= LOG_MAX_INT / Math.log(base)) {
        var result = parseInt(text, base);
        if (isNaN(result)) {
          throw new Error(c + ' is not a valid digit in base ' + base + '.');
        }
        return new SmallInteger(parseInt(text, base));
      }
    }
    base = parseValue(base);
    var digits = [];
    var isNegative = text[0] === '-';
    for (i = isNegative ? 1 : 0; i < text.length; i++) {
      var c = text[i].toLowerCase(),
        charCode = c.charCodeAt(0);
      if (48 <= charCode && charCode <= 57) digits.push(parseValue(c));
      else if (97 <= charCode && charCode <= 122)
        digits.push(parseValue(c.charCodeAt(0) - 87));
      else if (c === '<') {
        var start = i;
        do {
          i++;
        } while (text[i] !== '>');
        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) {
    if (digit <= 35) {
      return '0123456789abcdefghijklmnopqrstuvwxyz'.charAt(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)).map(Array.prototype.valueOf, [1, 0])
          ),
          isNegative: false
        };
      var arr = Array.apply(null, Array(+n - 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.equals(1)) {
      if (n.isZero()) return { value: [0], isNegative: false };
      return {
        value: Array.apply(null, Array(+n)).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) {
    var arr = toBase(n, base);
    return (arr.isNegative ? '-' : '') + arr.value.map(stringify).join('');
  }
  BigInteger.prototype.toArray = function(radix) {
    return toBase(this, radix);
  };
  SmallInteger.prototype.toArray = function(radix) {
    return toBase(this, radix);
  };
  BigInteger.prototype.toString = function(radix) {
    if (radix === undefined) radix = 10;
    if (radix !== 10) return toBaseString(this, radix);
    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) {
    if (radix === undefined) radix = 10;
    if (radix != 10) return toBaseString(this, radix);
    return String(this.value);
  };
  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;
  function parseStringValue(v) {
    if (isPrecise(+v)) {
      var x = +v;
      if (x === truncate(x)) return 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);
    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 (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);
    }
    return v;
  }
  for (var i = 0; i < 1e3; i++) {
    Integer[i] = new SmallInteger(i);
    if (i > 0) Integer[-i] = new SmallInteger(-i);
  }
  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;
  };
  Integer.randBetween = randBetween;
  Integer.fromArray = function(digits, base, isNegative) {
    return parseBaseFromArray(
      digits.map(parseValue),
      parseValue(base || 10),
      isNegative
    );
  };
  return Integer;
})();
if (typeof module !== 'undefined' && module.hasOwnProperty('exports')) {
  module.exports = bigInt;
}
if (typeof define === 'function' && define.amd) {
  define('big-integer', [], function() {
    return bigInt;
  });
}

function substract(a, b) {
  if (a.eq(0) || b.eq(0)) {
    return { a, b };
  } else if (a.greaterOrEquals(b.multiply(2))) {
    a = a.mod(b.multiply(2));
    return substract(a, b);
  } else if (b.greaterOrEquals(a.multiply(2))) {
    b = b.mod(a.multiply(2));
    return substract(a, b);
  } else {
    return { a, b };
  }
}

const nd = readline().split(' ');

const result = substract(bigInt(nd[0]), bigInt(nd[1]));

print(result.a.toJSNumber() + ' ' + result.b.toJSNumber() + '\n');


var input = readline()
var touched = Array(parseInt(input)).fill(false)
var step = 1

for(var i=0;i<=input;i++){
    step += i
  	if(step>input) step-=input
  	touched[step]=true
}

var isAllVisited=true
for(var i=1;i<=input;i++){
    if(!touched[i]) isAllVisited=false
}

isAllVisited? print("YES"):print("NO")


  var n = parseInt(readline());
  var res = 0;
  res += (n - 1) / 2 | 0;
  print(res);


var n = +readline();
if (n%2 == 0) print (n/2 - 1);
else print (Math.floor(n/2));


var n = parseInt(readline());
  var money = 0;
  if(n>2){
  	money += (n - 1) / 2;
  }else{
  	money += 0;
  }
  print(parseInt(money));


var n = +readline();
print(Math.floor((n-1)/2));


const input = readline();
const lastIndex = input.length - 1;
const halfLength = Math.floor(lastIndex * 0.5);
const flip = [8, NaN, NaN, 3, 6, 9, 4, 7, 0, 5];
print((() => {
  for (var i = 0; i <= halfLength; i++)
    if (flip[input.charCodeAt(i) - 48 /* 0 */] !== input.charCodeAt(lastIndex - i) - 48 /* 0 */) return false;
  return true;
})() ? "Yes" : "No");


function stradd(a, b) {
  var res = "",
      carry = 0,
      tmp = 0
  for (var i = a.length-1, j = b.length-1 ; i >= 0 || j >= 0 ; i--, j--) {
    tmp = (parseInt(a[i])||0) + (parseInt(b[j])||0) + carry
    carry = tmp >= 10 ? 1 : 0
    res = (tmp%10).toString() + res
  }
  return carry ? '1'+res : res
}

function strsub(a, b) {
  var res = "",
      carry = 0,
      tmp = 0
  for (var i = a.length-1, j = b.length-1 ; i >= 0 || j >= 0 ; i--, j--) {
    tmp = (parseInt(a[i])||0) - (parseInt(b[j])||0) - carry
    if (tmp < 0) tmp += 10, carry = 1
    else carry = 0
    res = tmp.toString() + res
  }
  return res
}

function strz(a, n) {
  if (a.length >= n) return a
  var res = a
  for (var i = a.length ; i < n ; i++) {
    res = '0' + res
  }
  return res
}

function trimz(a) {
  var i = 0
  while (a[i] === '0') i++
  return a.substr(i)||'0'
}

var given = readline().split(' '),
    length = given.reduce((p,v,i,a)=>{return Math.max(p,v.length)}, 0),
    normz = given.map((v,i,a)=>{return strz(v, length)}),
    start = normz[0] > normz[2] ? normz[0] : normz[2],
    end = normz[1] > normz[3] ? normz[3] : normz [1]

if (end < start) print('0')
else if (normz[4] >= start && normz[4] <= end) print(trimz(strsub(end,start)))
else print(trimz(stradd('1', strsub(end, start))))

/*
function readIntTabLine(n) {
  var l = readline().split(' ')
  for (var i = 0 ; i < n ; i++) {
    l[i] = parseInt(l[i])
  }
  return l
}

var given = readIntTabLine(5)

var start = Math.max(given[0],given[2]),
    end = Math.min(given[1],given[3])

if (end < start) print(0)
else if (given[4] >= start && given[4] <= end) print(end - start)
else print(end - start + 1)
*/


function stradd(a, b) {
  var res = "",
      carry = 0,
      tmp = 0
  for (var i = a.length-1, j = b.length-1 ; i >= 0 || j >= 0 ; i--, j--) {
    tmp = (parseInt(a[i])||0) + (parseInt(b[j])||0) + carry
    carry = tmp >= 10 ? 1 : 0
    res = (tmp%10).toString() + res
  }
  return carry ? '1'+res : res
}

function strsub(a, b) {
  var res = "",
      carry = 0,
      tmp = 0
  for (var i = a.length-1, j = b.length-1 ; i >= 0 || j >= 0 ; i--, j--) {
    tmp = (parseInt(a[i])||0) - (parseInt(b[j])||0) - carry
    if (tmp < 0) tmp += 10, carry = 1
    res = tmp.toString() + res
  }
  return res
}

function strz(a, n) {
  if (a.length >= n) return a
  var res = a
  for (var i = a.length ; i < n ; i++) {
    res = '0' + res
  }
  return res
}

function trimz(a) {
  var i = 0
  while (a[i] === '0') i++
  return a.substr(i)||'0'
}

var given = readline().split(' '),
    length = given.reduce((p,v,i,a)=>{return Math.max(p,v.length)}, 0),
    normz = given.map((v,i,a)=>{return strz(v, length)}),
    start = normz[0] > normz[2] ? normz[0] : normz[2],
    end = normz[1] > normz[3] ? normz[3] : normz [1]

if (end < start) print('0')
else if (normz[4] >= start && normz[4] <= end) print(trimz(strsub(end,start)))
else print(trimz(stradd('1', strsub(end, start))))

/*
function readIntTabLine(n) {
  var l = readline().split(' ')
  for (var i = 0 ; i < n ; i++) {
    l[i] = parseInt(l[i])
  }
  return l
}

var given = readIntTabLine(5)

var start = Math.max(given[0],given[2]),
    end = Math.min(given[1],given[3])

if (end < start) print(0)
else if (given[4] >= start && given[4] <= end) print(end - start)
else print(end - start + 1)
*/


function stradd(a, b) {
  var res = "",
      carry = 0,
      tmp = 0
  for (var i = a.length-1, j = b.length-1 ; i >= 0 || j >= 0 ; i--, j--) {
    tmp = (parseInt(a[i])||0) + (parseInt(b[j])||0) + carry
    carry = tmp >= 10 ? 1 : 0
    res = (tmp%10).toString() + res
  }
  return carry ? '1'+res : res
}

function strsub(a, b) {
  var res = "",
      carry = 0,
      tmp = 0
  for (var i = a.length-1, j = b.length-1 ; i >= 0 || j >= 0 ; i--, j--) {
    tmp = (parseInt(a[i])||0) - (parseInt(b[j])||0) - carry
    if (tmp < 0) tmp += 10, carry = 1
    res = tmp.toString() + res
  }
  return res
}

function strz(a, n) {
  if (a.length >= n) return a
  var res = a
  for (var i = a.length ; i < n ; i++) {
    res = '0' + res
  }
  return res
}

function trimz(a) {
  var i = 0
  while (a[i] === '0') i++
  return a.substr(i)
}

var given = readline().split(' '),
    length = given.reduce((p,v,i,a)=>{return Math.max(p,v.length)}, 0),
    normz = given.map((v,i,a)=>{return strz(v, length)}),
    start = normz[0] > normz[2] ? normz[0] : normz[2],
    end = normz[1] > normz[3] ? normz[3] : normz [1]

if (end < start) print('0')
else if (normz[4] >= start && normz[4] <= end) print(trimz(strsub(end,start)))
else print(trimz(stradd(1, strsub(end, start))))

/*
function readIntTabLine(n) {
  var l = readline().split(' ')
  for (var i = 0 ; i < n ; i++) {
    l[i] = parseInt(l[i])
  }
  return l
}

var given = readIntTabLine(5)

var start = Math.max(given[0],given[2]),
    end = Math.min(given[1],given[3])

if (end < start) print(0)
else if (given[4] >= start && given[4] <= end) print(end - start)
else print(end - start + 1)
*/


function stradd(a, b) {
  var res = "",
      carry = 0,
      tmp = 0
  for (var i = a.length-1, j = b.length-1 ; i >= 0 || j >= 0 ; i--, j--) {
    tmp = (parseInt(a[i])||0) + (parseInt(b[j])||0) + carry
    carry = tmp >= 10 ? 1 : 0
    res = (tmp%10).toString() + res
  }
  return carry ? '1'+res : res
}

function strsub(a, b) {
  var res = "",
      carry = 0,
      tmp = 0
  for (var i = a.length-1, j = b.length-1 ; i >= 0 || j >= 0 ; i--, j--) {
    tmp = (parseInt(a[i])||0) - (parseInt(b[j])||0) - carry
    if (tmp < 0) tmp += 10, carry = 1
    res = tmp.toString() + res
  }
  return res
}

function strz(a, n) {
  if (a.length >= n) return a
  var res = a
  for (var i = a.length ; i < n ; i++) {
    res = '0' + res
  }
  return res
}

function trimz(a) {
  var i = 0
  while (a[i] === '0') i++
  return a.substr(i)
}

var given = readline().split(' '),
    length = given.reduce((p,v,i,a)=>{return Math.max(p,v.length)}, 0),
    normz = given.map((v,i,a)=>{return strz(v, length)}),
    start = normz[0] > normz[2] ? normz[0] : normz[2],
    end = normz[1] > normz[3] ? normz[3] : normz [1]

if (end < start) print('0')
else if (normz[4] >= start && normz[4] <= end) print(trimz(strsub(end,start)))
else print(trimz(stradd('1', strsub(end, start))))

/*
function readIntTabLine(n) {
  var l = readline().split(' ')
  for (var i = 0 ; i < n ; i++) {
    l[i] = parseInt(l[i])
  }
  return l
}

var given = readIntTabLine(5)

var start = Math.max(given[0],given[2]),
    end = Math.min(given[1],given[3])

if (end < start) print(0)
else if (given[4] >= start && given[4] <= end) print(end - start)
else print(end - start + 1)
*/


function readIntTabLine(n) {
  var l = readline().split(' ')
  for (var i = 0 ; i < n ; i++) {
    l[i] = parseInt(l[i])
  }
  return l
}

var given = readIntTabLine(5)

var start = Math.max(given[0],given[2]),
    end = Math.min(given[1],given[3])

if (end < start) print(0)
else if (given[4] >= start && given[4] <= end) print(end - start)
else print(end - start + 1)


const input = readline();
const arr = ["Danil", "Olya", "Slava", "Ann" , "Nikita"];
var arr2 = [false, false,false,false,false];
var check = false;
for (var i =0 ;i<arr.length;i++){
  var index = input.indexOf(arr[i]);
  if (index != -1){
    arr2[i] = true;
  }
}
var n = 0;
for (var i =0 ;i<arr.length;i++){
  if (arr2[i]){
    n++
  }
}
if (n == 1)
  print("YES");
else
  print('NO');


const input = readline();
const arr = ["Danil", "Olya", "Slava", "Ann" , "Nikita"];
var check = false;
for (var i =0 ;i<arr.length;i++){
  var index = input.indexOf(arr[i]);
  if (index != -1 && input.indexOf(arr[i], index+1) == -1){
    if (check) {
      check = false;
      break;
    }
    check = true;
  }
  else if(index != -1){
    check = false;
  }
}
if (check)
  print("YES");
else
  print('NO');


var input=readline();
processData(input);
function processData(input) {
    var phraseArr=['Danil','Olya','Nikita','Ann','Slava'];
    var counter=0;
    for(var i in phraseArr){
        counter+=count(phraseArr[i],input,0);
    }
    if(counter==1){
        print('YES');
    }
    else{
        print('NO');
    }
}

function count(phrase, str, counter) {
    var s = str.search(phrase);
    strn = str.split('');
    strn.splice(s, phrase.length);
    strn=strn.join('');
    if (s == -1) {
        return counter;
    }
    else {
        counter++;
        return count(phrase, strn, counter);
    }
}


s=readline()
s=s.replace("Danil","1")
s=s.replace("Olya","1")
s=s.replace("Slava","1")
s=s.replace("Ann","1")
s=s.replace("Nikita","1")
res=0
for (i=0;i<s.length;i++)
{
    if (s[i]=='1')
    {
        res++
    }
}
if(res==1)
    print("Yes")
else
    print("No")


const input = readline();
const arr = ["Danil", "Olya", "Slava", "Ann" , "Nikita"];
var check = false;
for (var i =0 ;i<arr.length;i++){
  var index = input.indexOf(arr[i]);
  if (index != -1 && input.indexOf(arr[i], index) == -1){
    if (check) {
      check = false;
      break;
    }
    check = true;
  }
}
if (check)
  print("YES");
else
  print('NO');


const input = readline();
const arr = ["Danil", "Olya", "Slava", "Ann" , "Nikita"];
var check = false;
for (var i =0 ;i<arr.length;i++){
  if (input.indexOf(arr[i]) != -1){
    if (check) {
      check = false;
      break;
    }
    check = true;
  }
}
if (check)
  print("YES");
else
  print('NO');


const input = readline();
const arr = ["Danil", "Olya", "Slava", "Ann" , "Nikita"];
var check = false;
for (var i =0 ;i<arr.length;i++){
  var index = input.indexOf(arr[i]);
  if (index != -1 && input.indexOf(arr[i], index+1) == -1){
    if (check) {
      check = false;
      break;
    }
    check = true;
  }
}
if (check)
  print("YES");
else
  print('NO');


const input = readline();
const arr = ["Danil", "Olya", "Slava", "Ann" , "Nikita"];
var check = false;
for (var i =0 ;i<arr.length;i++){
  var index = input.indexOf(arr[i]);
  if (index != -1 && input.indexOf(arr[i], index+1) == -1){
    if (check) {
      check = false;
      break;
    }
    check = true;
  }
  else if(index != -1){
    check = false;
    break;
  }
}
if (check)
  print("YES");
else
  print('NO');


s=readline()
s=s.replace(/Danil/g,"1")
s=s.replace(/Olya/g,"1")
s=s.replace(/Slava/g,"1")
s=s.replace(/Ann/g,"1")
s=s.replace(/Nikita/g,"1")
res=0
for (i=0;i<s.length;i++)
{
    if (s[i]=='1')
    {
        res++
    }
}
if(res==1)
    print("Yes")
else
    print("No")


(function main(){
    //http://codeforces.com/problemset/problem/877/A

    var nombres = ["Danil", "Olya", "Slava", "Ann" , "Nikita"];
    var linea = readline();

    var hits = 0;

    for (var i = 0; i < nombres.length; i++) {
        hits += getHitsPara(nombres[i]);
    }

    function getHitsPara(nombre){
        var regex = new RegExp(nombre, "g");
        var hits = 0;
        while(regex.test(linea)){
            hits++;
        }
        return hits;
    }

    hits == 1 ? write("YES") : write("NO");
})();


var input=readline();
processData(input);
function processData(input) {
    var phraseArr=['Danil','Olya','Nikita','Ann','Slava'];
    var counter=0;
    for(var i in phraseArr){
        counter+=count(phraseArr[i],input,0);
    }
    if(counter==1){
        print('YES');
    }
    else{
        print('NO');
    }
}

function count(phrase, str, counter) {
    var s = str.search(phrase);
    strn = str.split('');
    strn.splice(s,phrase.length,'*','*');
    strn=strn.join('');
    if (s == -1) {
        return counter;
    }
    else {
        counter++;
        return count(phrase, strn, counter);
    }
}


function processData(input) {
    var phraseArr=['Danil','Olya','Nikita','Ann','Slava'];
    var counter=0;
    for(var i in phraseArr){
        counter+=count(phraseArr[i],input,0);
    }
    if(counter==1){
        console.log('YES');
    }
    else{
        console.log('NO');
    }
}

function count(phrase, str, counter) {
    var s = str.search(phrase);
    strn = str.split('');
    strn.splice(s, phrase.length);
    strn=strn.join('');
    if (s == -1) {
        return counter;
    }
    else {
        counter++;
        return count(phrase, strn, counter);
    }
}
process.stdin.resume();
process.stdin.setEncoding("utf-8");
_input = "";
process.stdin.on("data", function (input) {
    _input += input;
});
process.stdin.on("end", function () {
    processData(_input);
});


print(function(n) {

	var x = readline().split(' ').map(Number);
	var a = [];

	for (var i = 1; i < n; i++)
		a.push([Math.min(x[i - 1], x[i]), Math.max(x[i - 1], x[i])]);

	for (var i = 0; i < n - 1; i++)
		for (var j = 0; j < n - 1; j++)
			if (a[i][0] < a[j][0] && a[j][0] < a[i][1] && a[i][1] < a[j][1])
				return 'yes';

	return 'no'

}(+readline()));


function trim(s) {
	return s.replace(/^\s+|\s+$/gm, '');
}

function tokenize(s) {
	return trim(s).split(/\s+/);
}

function tokenizeIntegers(s) {
	var tokens = tokenize(s);
	for (var i = 0; i < tokens.length; i += 1) {
		tokens[i] = parseInt(tokens[i]);
	};
	return tokens;
}

function main() {
	var pointNum = parseInt(readline());
	var points = tokenizeIntegers(readline());

	for (var i = 3; i < pointNum; ++i) {
		var leftA = Math.min(points[i-1], points[i]),
			rightA = Math.max(points[i-1], points[i]);
		for (var j = i-2; j > 0; --j) {
			var leftB = Math.min(points[j-1], points[j]),
				rightB = Math.max(points[j-1], points[j]);
			if (Math.min(rightA, rightB) <= Math.max(leftA, leftB)) {
				continue;
			}
			if (leftA >= leftB && rightA <= rightB) {
				continue;
			}
			if (leftB >= leftA && rightB <= rightA) {
				continue;
			}
			print("yes");
			return;
		}
	}

	print("no");
}

main();


print(function(n, x) {

	var left = -Infinity,
		right = Infinity;
	for (var i = 1; i < n; i++) {
		if (x[i] > x[i - 1]) {
			if (x[i] > right) return 'yes';
			else left = x[i - 1];
		} else {
			if (x[i] < left) return 'yes';
			else right = x[i - 1];
		}
	}

	return 'no';

}(+readline(), readline().split(' ').map(Number)));


const readline = require('readline');
const rl = readline.createInterface({
  input: process.stdin,
  output: process.stdout,
  terminal: false
});
let c = 0;
let a, b;

rl.on('line', (d) => {
  if (c === 0) {
    c++;
    a = +d;
    return;
  }

  b = +d;
  const a1 = Math.floor(Math.abs(a - b) / 2);
  const b1 = Math.ceil(Math.abs(a - b) / 2);
  const leftSum = a1 * (a1 + 1) / 2;
  const rigthSum = b1 * (b1 + 1) / 2;
  const ans = leftSum + rigthSum;

  console.log(ans);

  c++;
});


a = readline();
b = readline();

var max = Math.max(a, b);
var min = Math.min(a, b);
var way = max - min;

var fatigueA = 0, fatigueB = 0, fatigueACount = 1, fatigueBCount = 1;

while (way > 1) {
	fatigueA = fatigueA + fatigueACount;
	fatigueB = fatigueB + fatigueBCount;

	fatigueACount++;
	fatigueBCount++;

	way = way - 2;
};

if (way !== 0) {
	fatigueA = fatigueA + fatigueACount;
};

print(fatigueA + fatigueB);


//Don't have to see. start------------------------------------------
var read = require('readline').createInterface({
	input: process.stdin, output: process.stdout
});
var obj; var inLine = [];
read.on('line', function(input){inLine.push(input);});
read.on('close', function(){
	obj = init(inLine);
	console.error('\n↑入力 ↓出力');
	Main();
});
function makeClone(obj){return (obj instanceof Set) ? new Set(Array.from(obj)) : JSON.parse(JSON.stringify(obj));}
function nextInt(){return myconv(next(),1);} function nextStrArray(){return myconv(next(),2);}
function nextIntArray(){return myconv(next(),4);} function nextCharArray(){return myconv(next(),6);}
function next(){return obj.next();} function hasNext(){return obj.hasNext();}
function init(input){
	return {
		list : input, index : 0, max : input.length,
		hasNext : function(){return (this.index < this.max);},
		next : function(){if(this.hasNext()){return this.list[this.index++];}else{throw 'ArrayIndexOutOfBoundsException ‚There is no more input';}}
	};
}
function myout(s){console.log(s);}
function myerr(s){console.error('debug:' + require('util').inspect(s,false,null));}
//param "no" is
//unknown or outlier : return i. 1: parseInt.
//2: split space. 4: split space and parseInt.
//6: split 1 character. 7: split 1 character and parseInt.
//8: join space. 9: join nextline. 0: join no character.
function myconv(i,no){try{switch(no){case 1:return parseInt(i);case 2:return i.split(' ');case 4:return i.split(' ').map(Number);case 6:return i.split('');case 7:return i.split('').map(Number);case 8:return i.join(' ');case 9:return i.join('\n');case 0:return i.join('');default:return i;}}catch(e){return i;}}

//Don't have to see. end------------------------------------------
function Main(){
	var a = nextInt();
	var b = nextInt();
	var diff = Math.abs(a - b);
	if(diff % 2 == 0){
		diff /= 2;
		myout(diff * (diff + 1));
	}else{
		var tmp = diff - 1;
		tmp /= 2;
		myout((tmp * (tmp + 1)) + (tmp + 1));
	}
}


function main() {
    var line = readline().split('');
    if(line.length < 26){
        return print(-1);
    }
    var start = 0;
    var end = 26;
    var found = false;
    while(end <= line.length && !found){
        var pos = [];
        for(var i=65;i<=90;i++){
            pos[i-65] = false;
        }
        var unknown = 0;
        for(var i=start;i<end;i++){
            var it = line[i];
            if(it == "?"){
                unknown++;
                continue;
            }
            pos[it.charCodeAt()] = true;
        }
        if(pos.filter(it => it).length + unknown != 26){
            start++;
            end++;
        } else {
            found = true;
            for(var i=start;i<end;i++){
                var it = line[i];
                if(it == "?"){
                    var j = 0;
                    while(pos[j]){
                        j++;
                    }
                    line[i] = String.fromCharCode(j + 65);
                    pos[j] = true;
                }
            }
        }
    }
    if(!found){
        print(-1)
    }

    print(line.join('').replace(/\?/g, "A"))
}

main()


function main() {
    var line = readline().split('');
    var all = {};
    for(var i=65;i<=90;i++){
        all[i] = false;
    }
    var used = 0;
    for(var i=0;i<line.length;i++){
        var it = line[i];
        if(it == "?"){
            continue
        }
        if(all[it.charCodeAt()]){
            continue;
        }
        used++;
        all[it.charCodeAt()] = true;
    };
    if(used + line.filter(it => it =="?").length < 26){
        return print('-1');
    }
    for(var i=0;i<line.length;i++){
        var j=65;
        if(line[i]!="?"){
            continue;
        }
        while(j<=90 && all[j]){
            j++;
        }
        if(j>90){
           j=65;
        }
        line[i] = String.fromCharCode(j);
        all[j] = true;
    }
    print(line.join(''))
}

main()


var line = readline();
var alp = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
function check(start){
    var map = {}, ch = "";
    for(var i = start; i < start + 26; i++) {
        ch = line[i];
        if (map[ch]) return false;
        if (ch == "?") continue;
        map[ch] = 1
    }
    return true
}

var index = -1;
if (line.length < 26) {
    write(-1);
} else {
    for(var i = 0; i <= line.length - 26; i++) {
        if (check(i)) {
            index = i;
            break
        }
    }
    if (index == -1) {
        write(-1)
    } else {
        var str = line.substr(index, 26);
        while (str.indexOf("?") > -1) {
            str = str.replace("?", function () {
                for(var i = 0 ; i < alp.length; i++) {
                    if (str.indexOf(alp[i]) == -1) return alp[i]
                }
            });
        }
        write(str)
    }
}


function main() {
    var line = readline().split('');
    var all = {};
    for(var i=65;i<=90;i++){
        all[i] = false;
    }
    var used = 0;
    for(var i=0;i<line.length;i++){
        var it = line[i];
        if(it == "?"){
            continue
        }
        if(all[it.charCodeAt()]){
            return print('-1');
        }
        used++;
        all[it.charCodeAt()] = true;
    };
    if(used + line.filter(it => it =="?").length != 26){
        return print('-1');
    }
    for(var i=0;i<line.length;i++){
        var j=65;
        if(line[i]!="?"){
            continue;
        }
        while(j<=90 && all[j]){
            j++;
        }
        if(j>90){
            return print('-1');
        }
        line[i] = String.fromCharCode(j);
        all[j] = true;
    }
    print(line)
}

main()