From dc6f9e07c79570544c8c793d6e4abca3cccd4f5a Mon Sep 17 00:00:00 2001 From: sigonasr2 Date: Sun, 11 Dec 2022 03:22:54 -0600 Subject: [PATCH] In progress? Co-authored-by: sigonasr2 --- C++ProjectTemplate | Bin 582280 -> 662312 bytes InfInt.h | 1371 ++++++++++++++++++++++++++++++++++++++++++++ main.cpp | 116 +++- testInput | 27 + 4 files changed, 1500 insertions(+), 14 deletions(-) create mode 100644 InfInt.h create mode 100644 testInput diff --git a/C++ProjectTemplate b/C++ProjectTemplate index c747ac0aa985c455cb855a4ae90b48a6a9db296e..ba98c90efa7bb6463ee9f889c176863546205705 100755 GIT binary patch literal 662312 zcmdqK3w%_?6+gZKB0<3fm6}=~!AA?lM}mMsMHAubqQpiZ8Xp*92#}hW$u0&J3=L_s zuG>Z{iY?gK`ar7%TEJ)#H;8PssKH`QmDbf_-5AuUSffSxf6tk@vvX(nBGBLe^ZR^$ zt7Px_&Y3f3&YU^(xO4B`ZcV#*KuXF$kNgbuT;NH;b+|zQc@mEub-29pc=9~Co?-Yq z(v#&m4Co;I%af_*clQ91V1K7cJ}Qv%Wy+Gx@8cz({Y^U2hrTJF+o!8Uq}bn{3_(-A zRJxo^fAE>jf7N%#140q|ThAxTvrBb;|Kc8@nf63g|EQ;&--Xhi_P1?M(u)4&N_(2$*+`?0{cYx(FY}q-Q$#k8{Y_=iXU2QJ zIfqhSq0HAXR7f(vw@nrD?QgrhE0B-ua-bh+PS12%o?AOK%6727Z9hA!vf_pb&?snI9;F>4(}}-v z!YLPj6FK^O@07f?=JVP~_rCDlg*%9c^rk$-Lm!eSn_SWV#1-+7Jz7)NdZv1^1`rm- 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Arithmetic Library + * Copyright (C) 2013 Sercan Tutar + * + * This Source Code Form is subject to the terms of the Mozilla Public + * License, v. 2.0. If a copy of the MPL was not distributed with this + * file, You can obtain one at http://mozilla.org/MPL/2.0/. + * + * + * USAGE: + * It is pretty straight forward to use the library. Just create an instance of + * InfInt class and start using it. + * + * Useful methods: + * intSqrt: integer square root operation + * digitAt: returns digit at index + * numberOfDigits: returns number of digits + * size: returns size in bytes + * toString: converts it to a string + * + * There are also conversion methods which allow conversion to primitive types: + * toInt, toLong, toLongLong, toUnsignedInt, toUnsignedLong, toUnsignedLongLong. + * + * You may define INFINT_USE_EXCEPTIONS and library methods will start raising + * InfIntException in case of error instead of writing error messages using + * std::cerr. + * + * See ReadMe.txt for more info. + * + * + * No overflows, happy programmers! + * + */ + +#ifndef INFINT_H_ +#define INFINT_H_ + +#include +#include +#include +#include +#include + +//#include +//#include + +#ifdef _WIN32 +#define LONG_LONG_MIN LLONG_MIN +#define LONG_LONG_MAX LLONG_MAX +#define ULONG_LONG_MAX ULLONG_MAX +#endif + +#ifdef INFINT_USE_EXCEPTIONS +#include +#endif + +typedef int ELEM_TYPE; +typedef long long PRODUCT_TYPE; +static const ELEM_TYPE BASE = 1000000000; +static const ELEM_TYPE UPPER_BOUND = 999999999; +static const ELEM_TYPE DIGIT_COUNT = 9; +static const int powersOfTen[] = { 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000 }; + +#ifdef INFINT_USE_EXCEPTIONS +class InfIntException: public std::exception +{ +public: + InfIntException(const std::string& txt) throw (); + ~InfIntException() throw (); + const char* what() const throw (); +private: + std::string txt; +}; + +inline InfIntException::InfIntException(const std::string& txt) throw () : +std::exception(), txt(txt) +{ +} + +inline InfIntException::~InfIntException() throw () +{ +} + +inline const char* InfIntException::what() const throw () +{ + return txt.c_str(); +} +#endif + +inline static div_t my_div(int num, int denom) +{ + div_t result; + result.quot = num / denom; + result.rem = num - denom * result.quot; + return result; +} + +inline static ldiv_t my_ldiv(long num, long denom) +{ + ldiv_t result; + result.quot = num / denom; + result.rem = num - denom * result.quot; + return result; +} + +inline static lldiv_t my_lldiv(long long num, long long denom) +{ + lldiv_t result; + result.quot = num / denom; + result.rem = num - denom * result.quot; + return result; +} + +class InfInt +{ + friend std::ostream& operator<<(std::ostream &s, const InfInt &n); + friend std::istream& operator>>(std::istream &s, InfInt &val); + +public: + /* constructors */ + InfInt(); + InfInt(const char* c); + InfInt(const std::string& s); + InfInt(int l); + InfInt(long l); + InfInt(long long l); + InfInt(unsigned int l); + InfInt(unsigned long l); + InfInt(unsigned long long l); + InfInt(const InfInt& l); + + /* assignment operators */ + const InfInt& operator=(const char* c); + const InfInt& operator=(const std::string& s); + const InfInt& operator=(int l); + const InfInt& operator=(long l); + const InfInt& operator=(long long l); + const InfInt& operator=(unsigned int l); + const InfInt& operator=(unsigned long l); + const InfInt& operator=(unsigned long long l); + const InfInt& operator=(const InfInt& l); + + /* unary increment/decrement operators */ + const InfInt& operator++(); + const InfInt& operator--(); + InfInt operator++(int); + InfInt operator--(int); + + /* operational assignments */ + const InfInt& operator+=(const InfInt& rhs); + const InfInt& operator-=(const InfInt& rhs); + const InfInt& operator*=(const InfInt& rhs); + const InfInt& operator/=(const InfInt& rhs); // throw + const InfInt& operator%=(const InfInt& rhs); // throw + const InfInt& operator*=(ELEM_TYPE rhs); + + /* operations */ + InfInt operator-() const; + InfInt operator+(const InfInt& rhs) const; + InfInt operator-(const InfInt& rhs) const; + InfInt operator*(const InfInt& rhs) const; + InfInt operator/(const InfInt& rhs) const; // throw + InfInt operator%(const InfInt& rhs) const; // throw + InfInt operator*(ELEM_TYPE rhs) const; + + /* relational operations */ + bool operator==(const InfInt& rhs) const; + bool operator!=(const InfInt& rhs) const; + bool operator<(const InfInt& rhs) const; + bool operator<=(const InfInt& rhs) const; + bool operator>(const InfInt& rhs) const; + bool operator>=(const InfInt& rhs) const; + + /* integer square root */ + InfInt intSqrt() const; // throw + + /* digit operations */ + char digitAt(size_t i) const; // throw + size_t numberOfDigits() const; + + /* size in bytes */ + size_t size() const; + + /* string conversion */ + std::string toString() const; + + /* conversion to primitive types */ + int toInt() const; // throw + long toLong() const; // throw + long long toLongLong() const; // throw + unsigned int toUnsignedInt() const; // throw + unsigned long toUnsignedLong() const; // throw + unsigned long long toUnsignedLongLong() const; // throw + +private: + static ELEM_TYPE dInR(const InfInt& R, const InfInt& D); + static void multiplyByDigit(ELEM_TYPE factor, std::vector& val); + + void correct(bool justCheckLeadingZeros = false, bool hasValidSign = false); + void fromString(const std::string& s); + void optimizeSqrtSearchBounds(InfInt& lo, InfInt& hi) const; + void truncateToBase(); + bool equalizeSigns(); + void removeLeadingZeros(); + + std::vector val; // number with base FACTOR + bool pos; // true if number is positive +}; + +inline InfInt::InfInt() : pos(true) +{ + //PROFINY_SCOPE + val.push_back((ELEM_TYPE) 0); +} + +inline InfInt::InfInt(const char* c) +{ + //PROFINY_SCOPE + fromString(c); +} + +inline InfInt::InfInt(const std::string& s) +{ + //PROFINY_SCOPE + fromString(s); +} + +inline InfInt::InfInt(int l) : pos(l >= 0) +{ + //PROFINY_SCOPE + bool subtractOne = false; + if (l == INT_MIN) + { + subtractOne = true; + ++l; + } + + if (!pos) + { + l = -l; + } + do + { + div_t dt = my_div(l, BASE); + val.push_back((ELEM_TYPE) dt.rem); + l = dt.quot; + } while (l > 0); + + if (subtractOne) + { + --*this; + } +} + +inline InfInt::InfInt(long l) : pos(l >= 0) +{ + //PROFINY_SCOPE + bool subtractOne = false; + if (l == LONG_MIN) + { + subtractOne = true; + ++l; + } + + if (!pos) + { + l = -l; + } + do + { + ldiv_t dt = my_ldiv(l, BASE); + val.push_back((ELEM_TYPE) dt.rem); + l = dt.quot; + } while (l > 0); + + if (subtractOne) + { + --*this; + } +} + +inline InfInt::InfInt(long long l) : pos(l >= 0) +{ + //PROFINY_SCOPE + bool subtractOne = false; + if (l == LONG_LONG_MIN) + { + subtractOne = true; + ++l; + } + + if (!pos) + { + l = -l; + } + do + { + lldiv_t dt = my_lldiv(l, BASE); + val.push_back((ELEM_TYPE) dt.rem); + l = dt.quot; + } while (l > 0); + + if (subtractOne) + { + --*this; + } +} + +inline InfInt::InfInt(unsigned int l) : pos(true) +{ + //PROFINY_SCOPE + do + { + val.push_back((ELEM_TYPE) (l % BASE)); + l = l / BASE; + } while (l > 0); +} + +inline InfInt::InfInt(unsigned long l) : pos(true) +{ + //PROFINY_SCOPE + do + { + val.push_back((ELEM_TYPE) (l % BASE)); + l = l / BASE; + } while (l > 0); +} + +inline InfInt::InfInt(unsigned long long l) : pos(true) +{ + //PROFINY_SCOPE + do + { + val.push_back((ELEM_TYPE) (l % BASE)); + l = l / BASE; + } while (l > 0); +} + +inline InfInt::InfInt(const InfInt& l) : pos(l.pos), val(l.val) +{ + //PROFINY_SCOPE +} + +inline const InfInt& InfInt::operator=(const char* c) +{ + //PROFINY_SCOPE + fromString(c); + return *this; +} + +inline const InfInt& InfInt::operator=(const std::string& s) +{ + //PROFINY_SCOPE + fromString(s); + return *this; +} + +inline const InfInt& InfInt::operator=(int l) +{ + //PROFINY_SCOPE + bool subtractOne = false; + if (l == INT_MIN) + { + subtractOne = true; + ++l; + } + + pos = l >= 0; + val.clear(); + if (!pos) + { + l = -l; + } + do + { + div_t dt = my_div(l, BASE); + val.push_back((ELEM_TYPE) dt.rem); + l = dt.quot; + } while (l > 0); + + return subtractOne ? --*this : *this; +} + +inline const InfInt& InfInt::operator=(long l) +{ + //PROFINY_SCOPE + bool subtractOne = false; + if (l == LONG_MIN) + { + subtractOne = true; + ++l; + } + + pos = l >= 0; + val.clear(); + if (!pos) + { + l = -l; + } + do + { + ldiv_t dt = my_ldiv(l, BASE); + val.push_back((ELEM_TYPE) dt.rem); + l = dt.quot; + } while (l > 0); + + return subtractOne ? --*this : *this; +} + +inline const InfInt& InfInt::operator=(long long l) +{ + //PROFINY_SCOPE + bool subtractOne = false; + if (l == LONG_LONG_MIN) + { + subtractOne = true; + ++l; + } + + pos = l >= 0; + val.clear(); + if (!pos) + { + l = -l; + } + do + { + lldiv_t dt = my_lldiv(l, BASE); + val.push_back((ELEM_TYPE) dt.rem); + l = dt.quot; + } while (l > 0); + + return subtractOne ? --*this : *this; +} + +inline const InfInt& InfInt::operator=(unsigned int l) +{ + //PROFINY_SCOPE + pos = true; + val.clear(); + do + { + val.push_back((ELEM_TYPE) (l % BASE)); + l = l / BASE; + } while (l > 0); + return *this; +} + +inline const InfInt& InfInt::operator=(unsigned long l) +{ + //PROFINY_SCOPE + pos = true; + val.clear(); + do + { + val.push_back((ELEM_TYPE) (l % BASE)); + l = l / BASE; + } while (l > 0); + return *this; +} + +inline const InfInt& InfInt::operator=(unsigned long long l) +{ + //PROFINY_SCOPE + pos = true; + val.clear(); + do + { + val.push_back((ELEM_TYPE) (l % BASE)); + l = l / BASE; + } while (l > 0); + return *this; +} + +inline const InfInt& InfInt::operator=(const InfInt& l) +{ + //PROFINY_SCOPE + pos = l.pos; + val = l.val; + return *this; +} + +inline const InfInt& InfInt::operator++() +{ + //PROFINY_SCOPE + val[0] += (pos ? 1 : -1); + this->correct(false, true); + return *this; +} + +inline const InfInt& InfInt::operator--() +{ + //PROFINY_SCOPE + val[0] -= (pos ? 1 : -1); + this->correct(false, true); + return *this; +} + +inline InfInt InfInt::operator++(int) +{ + //PROFINY_SCOPE + InfInt result = *this; + val[0] += (pos ? 1 : -1); + this->correct(false, true); + return result; +} + +inline InfInt InfInt::operator--(int) +{ + //PROFINY_SCOPE + InfInt result = *this; + val[0] -= (pos ? 1 : -1); + this->correct(false, true); + return result; +} + +inline const InfInt& InfInt::operator+=(const InfInt& rhs) +{ + //PROFINY_SCOPE + if (rhs.val.size() > val.size()) + { + val.resize(rhs.val.size(), 0); + } + for (size_t i = 0; i < val.size(); ++i) + { + val[i] = (pos ? val[i] : -val[i]) + (i < rhs.val.size() ? (rhs.pos ? rhs.val[i] : -rhs.val[i]) : 0); + } + correct(); + return *this; +} + +inline const InfInt& InfInt::operator-=(const InfInt& rhs) +{ + //PROFINY_SCOPE + if (rhs.val.size() > val.size()) + { + val.resize(rhs.val.size(), 0); + } + for (size_t i = 0; i < val.size(); ++i) + { + val[i] = (pos ? val[i] : -val[i]) - (i < rhs.val.size() ? (rhs.pos ? rhs.val[i] : -rhs.val[i]) : 0); + } + correct(); + return *this; +} + +inline const InfInt& InfInt::operator*=(const InfInt& rhs) +{ + //PROFINY_SCOPE + // TODO: optimize (do not use operator*) + *this = *this * rhs; + return *this; +} + +inline const InfInt& InfInt::operator/=(const InfInt& rhs) +{ + //PROFINY_SCOPE + if (rhs == 0) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("division by zero"); +#else + std::cerr << "Division by zero!" << std::endl; + return *this; +#endif + } + InfInt R, D = (rhs.pos ? rhs : -rhs), N = (pos ? *this : -*this); + bool oldpos = pos; + std::fill(val.begin(), val.end(), 0); + for (int i = (int) N.val.size() - 1; i >= 0; --i) + { + R.val.insert(R.val.begin(), N.val[i]); + R.correct(true); + ELEM_TYPE cnt = dInR(R, D); + R -= D * cnt; + val[i] += cnt; + } + correct(); + pos = (val.size() == 1 && val[0] == 0) ? true : (oldpos == rhs.pos); + return *this; +} + +inline const InfInt& InfInt::operator%=(const InfInt& rhs) +{ + //PROFINY_SCOPE + // TODO: optimize (do not use operator%) + *this = *this % rhs; + return *this; +// if (rhs == 0) +// { +//#ifdef INFINT_USE_EXCEPTIONS +// throw InfIntException("division by zero"); +//#else +// std::cerr << "Division by zero!" << std::endl; +// return *this; +//#endif +// } +// InfInt D = (rhs.pos ? rhs : -rhs), N = (pos ? *this : -*this); +// bool oldpos = pos; +// val.clear(); +// for (int i = (int) N.val.size() - 1; i >= 0; --i) +// { +// val.insert(val.begin(), N.val[i]); +// correct(true); +// *this -= D * dInR(*this, D); +// } +// correct(); +// pos = (val.size() == 1 && val[0] == 0) ? true : oldpos; +// return *this; +} + +inline const InfInt& InfInt::operator*=(ELEM_TYPE rhs) +{ + //PROFINY_SCOPE + ELEM_TYPE factor = rhs < 0 ? -rhs : rhs; + bool oldpos = pos; + multiplyByDigit(factor, val); + correct(); + pos = (val.size() == 1 && val[0] == 0) ? true : (oldpos == (rhs >= 0)); + return *this; +} + +inline InfInt InfInt::operator-() const +{ + //PROFINY_SCOPE + InfInt result = *this; + result.pos = !pos; + return result; +} + +inline InfInt InfInt::operator+(const InfInt& rhs) const +{ + //PROFINY_SCOPE + InfInt result; + result.val.resize(val.size() > rhs.val.size() ? val.size() : rhs.val.size(), 0); + for (size_t i = 0; i < val.size() || i < rhs.val.size(); ++i) + { + result.val[i] = (i < val.size() ? (pos ? val[i] : -val[i]) : 0) + (i < rhs.val.size() ? (rhs.pos ? rhs.val[i] : -rhs.val[i]) : 0); + } + result.correct(); + return result; +} + +inline InfInt InfInt::operator-(const InfInt& rhs) const +{ + //PROFINY_SCOPE + InfInt result; + result.val.resize(val.size() > rhs.val.size() ? val.size() : rhs.val.size(), 0); + for (size_t i = 0; i < val.size() || i < rhs.val.size(); ++i) + { + result.val[i] = (i < val.size() ? (pos ? val[i] : -val[i]) : 0) - (i < rhs.val.size() ? (rhs.pos ? rhs.val[i] : -rhs.val[i]) : 0); + } + result.correct(); + return result; +} + +inline InfInt InfInt::operator*(const InfInt& rhs) const +{ + //PROFINY_SCOPE + InfInt result; + result.val.resize(val.size() + rhs.val.size(), 0); + PRODUCT_TYPE carry = 0; + size_t digit = 0; + for (;; ++digit) + { + lldiv_t dt = my_lldiv(carry, BASE); + carry = dt.quot; + result.val[digit] = (ELEM_TYPE) dt.rem; + + bool found = false; + for (size_t i = digit < rhs.val.size() ? 0 : digit - rhs.val.size() + 1; i < val.size() && i <= digit; ++i) + { + PRODUCT_TYPE pval = result.val[digit] + val[i] * (PRODUCT_TYPE) rhs.val[digit - i]; + if (pval >= BASE || pval <= -BASE) + { + lldiv_t dt = my_lldiv(pval, BASE); + carry += dt.quot; + pval = dt.rem; + } + result.val[digit] = (ELEM_TYPE) pval; + found = true; + } + if (!found) + { + break; + } + } + for (; carry > 0; ++digit) + { + lldiv_t dt = my_lldiv(carry, BASE); + result.val[digit] = (ELEM_TYPE) dt.rem; + carry = dt.quot; + } + result.correct(); + result.pos = (result.val.size() == 1 && result.val[0] == 0) ? true : (pos == rhs.pos); + return result; +} + +inline InfInt InfInt::operator/(const InfInt& rhs) const +{ + //PROFINY_SCOPE + if (rhs == 0) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("division by zero"); +#else + std::cerr << "Division by zero!" << std::endl; + return 0; +#endif + } + InfInt Q, R, D = (rhs.pos ? rhs : -rhs), N = (pos ? *this : -*this); + Q.val.resize(N.val.size(), 0); + for (int i = (int) N.val.size() - 1; i >= 0; --i) + { + R.val.insert(R.val.begin(), N.val[i]); + R.correct(true); + ELEM_TYPE cnt = dInR(R, D); + R -= D * cnt; + Q.val[i] += cnt; + } + Q.correct(); + Q.pos = (Q.val.size() == 1 && Q.val[0] == 0) ? true : (pos == rhs.pos); + return Q; +} + +inline InfInt InfInt::operator%(const InfInt& rhs) const +{ + //PROFINY_SCOPE + if (rhs == 0) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("division by zero"); +#else + std::cerr << "Division by zero!" << std::endl; + return 0; +#endif + } + InfInt R, D = (rhs.pos ? rhs : -rhs), N = (pos ? *this : -*this); + for (int i = (int) N.val.size() - 1; i >= 0; --i) + { + R.val.insert(R.val.begin(), N.val[i]); + R.correct(true); + R -= D * dInR(R, D); + } + R.correct(); + R.pos = (R.val.size() == 1 && R.val[0] == 0) ? true : pos; + return R; +} + +inline InfInt InfInt::operator*(ELEM_TYPE rhs) const +{ + //PROFINY_SCOPE + InfInt result = *this; + ELEM_TYPE factor = rhs < 0 ? -rhs : rhs; + multiplyByDigit(factor, result.val); + result.correct(); + result.pos = (result.val.size() == 1 && result.val[0] == 0) ? true : (pos == (rhs >= 0)); + return result; +} + +inline bool InfInt::operator==(const InfInt& rhs) const +{ + //PROFINY_SCOPE + if (pos != rhs.pos || val.size() != rhs.val.size()) + { + return false; + } + for (int i = (int) val.size() - 1; i >= 0; --i) + { + if (val[i] != rhs.val[i]) + { + return false; + } + } + return true; +} + +inline bool InfInt::operator!=(const InfInt& rhs) const +{ + //PROFINY_SCOPE + if (pos != rhs.pos || val.size() != rhs.val.size()) + { + return true; + } + for (int i = (int) val.size() - 1; i >= 0; --i) + { + if (val[i] != rhs.val[i]) + { + return true; + } + } + return false; +} + +inline bool InfInt::operator<(const InfInt& rhs) const +{ + //PROFINY_SCOPE + if (pos && !rhs.pos) + { + return false; + } + if (!pos && rhs.pos) + { + return true; + } + if (val.size() > rhs.val.size()) + { + return pos ? false : true; + } + if (val.size() < rhs.val.size()) + { + return pos ? true : false; + } + for (int i = (int) val.size() - 1; i >= 0; --i) + { + if (val[i] < rhs.val[i]) + { + return pos ? true : false; + } + if (val[i] > rhs.val[i]) + { + return pos ? false : true; + } + } + return false; +} + +inline bool InfInt::operator<=(const InfInt& rhs) const +{ + //PROFINY_SCOPE + if (pos && !rhs.pos) + { + return false; + } + if (!pos && rhs.pos) + { + return true; + } + if (val.size() > rhs.val.size()) + { + return pos ? false : true; + } + if (val.size() < rhs.val.size()) + { + return pos ? true : false; + } + for (int i = (int) val.size() - 1; i >= 0; --i) + { + if (val[i] < rhs.val[i]) + { + return pos ? true : false; + } + if (val[i] > rhs.val[i]) + { + return pos ? false : true; + } + } + return true; +} + +inline bool InfInt::operator>(const InfInt& rhs) const +{ + //PROFINY_SCOPE + if (pos && !rhs.pos) + { + return true; + } + if (!pos && rhs.pos) + { + return false; + } + if (val.size() > rhs.val.size()) + { + return pos ? true : false; + } + if (val.size() < rhs.val.size()) + { + return pos ? false : true; + } + for (int i = (int) val.size() - 1; i >= 0; --i) + { + if (val[i] < rhs.val[i]) + { + return pos ? false : true; + } + if (val[i] > rhs.val[i]) + { + return pos ? true : false; + } + } + return false; +} + +inline bool InfInt::operator>=(const InfInt& rhs) const +{ + //PROFINY_SCOPE + if (pos && !rhs.pos) + { + return true; + } + if (!pos && rhs.pos) + { + return false; + } + if (val.size() > rhs.val.size()) + { + return pos ? true : false; + } + if (val.size() < rhs.val.size()) + { + return pos ? false : true; + } + for (int i = (int) val.size() - 1; i >= 0; --i) + { + if (val[i] < rhs.val[i]) + { + return pos ? false : true; + } + if (val[i] > rhs.val[i]) + { + return pos ? true : false; + } + } + return true; +} + +inline void InfInt::optimizeSqrtSearchBounds(InfInt& lo, InfInt& hi) const +{ + //PROFINY_SCOPE + InfInt hdn = 1; + for (int i = (int) this->numberOfDigits() / 2; i >= 2; --i) + { + hdn *= 10; + } + if (lo < hdn) + { + lo = hdn; + } + hdn *= 100; + if (hi > hdn) + { + hi = hdn; + } +} + +inline InfInt InfInt::intSqrt() const +{ + //PROFINY_SCOPE + if (*this <= 0) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("intSqrt called for non-positive integer"); +#else + std::cerr << "intSqrt called for non-positive integer: " << *this << std::endl; + return 0; +#endif + } + InfInt hi = *this / 2 + 1, lo = 0, mid, mid2; + optimizeSqrtSearchBounds(lo, hi); + do + { + mid = (hi + lo) / 2; // 8 factor + mid2 = mid * mid; // 1 factor + if (mid2 == *this) + { + lo = mid; + break; + } + else if (mid2 < *this) + { + lo = mid; + } + else + { + hi = mid; + } + } while (lo < hi - 1 && mid2 != *this); + return lo; +} + +inline char InfInt::digitAt(size_t i) const +{ + //PROFINY_SCOPE + if (numberOfDigits() <= i) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("invalid digit index"); +#else + std::cerr << "Invalid digit index: " << i << std::endl; + return -1; +#endif + } + return (val[i / DIGIT_COUNT] / powersOfTen[i % DIGIT_COUNT]) % 10; +} + +inline size_t InfInt::numberOfDigits() const +{ + //PROFINY_SCOPE + return (val.size() - 1) * DIGIT_COUNT + + (val.back() > 99999999 ? 9 : (val.back() > 9999999 ? 8 : (val.back() > 999999 ? 7 : (val.back() > 99999 ? 6 : + (val.back() > 9999 ? 5 : (val.back() > 999 ? 4 : (val.back() > 99 ? 3 : (val.back() > 9 ? 2 : 1)))))))); +} + +inline std::string InfInt::toString() const +{ + //PROFINY_SCOPE + std::ostringstream oss; + oss << *this; + return oss.str(); +} + +inline size_t InfInt::size() const +{ + //PROFINY_SCOPE + return val.size() * sizeof(ELEM_TYPE) + sizeof(bool); +} + +inline int InfInt::toInt() const +{ + //PROFINY_SCOPE + if (*this > INT_MAX || *this < INT_MIN) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("out of bounds"); +#else + std::cerr << "Out of INT bounds: " << *this << std::endl; +#endif + } + int result = 0; + for (int i = (int) val.size() - 1; i >= 0; --i) + { + result = result * BASE + val[i]; + } + return pos ? result : -result; +} + +inline long InfInt::toLong() const +{ + //PROFINY_SCOPE + if (*this > LONG_MAX || *this < LONG_MIN) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("out of bounds"); +#else + std::cerr << "Out of LONG bounds: " << *this << std::endl; +#endif + } + long result = 0; + for (int i = (int) val.size() - 1; i >= 0; --i) + { + result = result * BASE + val[i]; + } + return pos ? result : -result; +} + +inline long long InfInt::toLongLong() const +{ + //PROFINY_SCOPE + if (*this > LONG_LONG_MAX || *this < LONG_LONG_MIN) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("out of bounds"); +#else + std::cerr << "Out of LLONG bounds: " << *this << std::endl; +#endif + } + long long result = 0; + for (int i = (int) val.size() - 1; i >= 0; --i) + { + result = result * BASE + val[i]; + } + return pos ? result : -result; +} + +inline unsigned int InfInt::toUnsignedInt() const +{ + //PROFINY_SCOPE + if (!pos || *this > UINT_MAX) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("out of bounds"); +#else + std::cerr << "Out of UINT bounds: " << *this << std::endl; +#endif + } + unsigned int result = 0; + for (int i = (int) val.size() - 1; i >= 0; --i) + { + result = result * BASE + val[i]; + } + return result; +} + +inline unsigned long InfInt::toUnsignedLong() const +{ + //PROFINY_SCOPE + if (!pos || *this > ULONG_MAX) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("out of bounds"); +#else + std::cerr << "Out of ULONG bounds: " << *this << std::endl; +#endif + } + unsigned long result = 0; + for (int i = (int) val.size() - 1; i >= 0; --i) + { + result = result * BASE + val[i]; + } + return result; +} + +inline unsigned long long InfInt::toUnsignedLongLong() const +{ + //PROFINY_SCOPE + if (!pos || *this > ULONG_LONG_MAX) + { +#ifdef INFINT_USE_EXCEPTIONS + throw InfIntException("out of bounds"); +#else + std::cerr << "Out of ULLONG bounds: " << *this << std::endl; +#endif + } + unsigned long long result = 0; + for (int i = (int) val.size() - 1; i >= 0; --i) + { + result = result * BASE + val[i]; + } + return result; +} + +inline void InfInt::truncateToBase() +{ + //PROFINY_SCOPE + for (size_t i = 0; i < val.size(); ++i) // truncate each + { + if (val[i] >= BASE || val[i] <= -BASE) + { + div_t dt = my_div(val[i], BASE); + val[i] = dt.rem; + if (i + 1 >= val.size()) + { + val.push_back(dt.quot); + } + else + { + val[i + 1] += dt.quot; + } + } + } +} + +inline bool InfInt::equalizeSigns() +{ + //PROFINY_SCOPE + bool isPositive = true; + int i = (int) ((val.size())) - 1; + for (; i >= 0; --i) + { + if (val[i] != 0) + { + isPositive = val[i--] > 0; + break; + } + } + + if (isPositive) + { + for (; i >= 0; --i) + { + if (val[i] < 0) + { + int k = 0, index = i + 1; + for (; (size_t)(index) < val.size() && val[index] == 0; ++k, ++index) + ; // count adjacent zeros on left + //if ((size_t)(index) < val.size() && val[index] > 0) + { // number on the left is positive + val[index] -= 1; + val[i] += BASE; + for (; k > 0; --k) + { + val[i + k] = UPPER_BOUND; + } + } + } + } + } + else + { + for (; i >= 0; --i) + { + if (val[i] > 0) + { + int k = 0, index = i + 1; + for (; (size_t)(index) < val.size() && val[index] == 0; ++k, ++index) + ; // count adjacent zeros on right + //if ((size_t)(index) < val.size() && val[index] < 0) + { // number on the left is negative + val[index] += 1; + val[i] -= BASE; + for (; k > 0; --k) + { + val[i + k] = -UPPER_BOUND; + } + } + } + } + } + + return isPositive; +} + +inline void InfInt::removeLeadingZeros() +{ + //PROFINY_SCOPE + for (int i = (int) (val.size()) - 1; i > 0; --i) // remove leading 0's + { + if (val[i] != 0) + { + return; + } + else + { + val.erase(val.begin() + i); + } + } +} + +inline void InfInt::correct(bool justCheckLeadingZeros, bool hasValidSign) +{ + //PROFINY_SCOPE + if (!justCheckLeadingZeros) + { + truncateToBase(); + + if (equalizeSigns()) + { + pos = ((val.size() == 1 && val[0] == 0) || !hasValidSign) ? true : pos; + } + else + { + pos = hasValidSign ? !pos : false; + for (size_t i = 0; i < val.size(); ++i) + { + val[i] = abs(val[i]); + } + } + } + + removeLeadingZeros(); +} + +inline void InfInt::fromString(const std::string& s) +{ + //PROFINY_SCOPE + pos = true; + val.clear(); + val.reserve(s.size() / DIGIT_COUNT + 1); + int i = (int) s.size() - DIGIT_COUNT; + for (; i >= 0; i -= DIGIT_COUNT) + { + val.push_back(atoi(s.substr(i, DIGIT_COUNT).c_str())); + } + if (i > -DIGIT_COUNT) + { + std::string ss = s.substr(0, i + DIGIT_COUNT); + if (ss.size() == 1 && ss[0] == '-') + { + pos = false; + } + else + { + val.push_back(atoi(ss.c_str())); + } + } + if (val.back() < 0) + { + val.back() = -val.back(); + pos = false; + } + correct(true); +} + +inline ELEM_TYPE InfInt::dInR(const InfInt& R, const InfInt& D) +{ + //PROFINY_SCOPE + ELEM_TYPE min = 0, max = UPPER_BOUND; + while (max > min) + { + ELEM_TYPE avg = max + min; + div_t dt = my_div(avg, 2); + avg = dt.rem ? (dt.quot + 1) : dt.quot; + InfInt prod = D * avg; + if (R == prod) + { + return avg; + } + else if (R > prod) + { + min = avg; + } + else + { + max = avg - 1; + } + } + return min; +} + +inline void InfInt::multiplyByDigit(ELEM_TYPE factor, std::vector& val) +{ + //PROFINY_SCOPE + ELEM_TYPE carry = 0; + for (size_t i = 0; i < val.size(); ++i) + { + PRODUCT_TYPE pval = val[i] * (PRODUCT_TYPE) factor + carry; + if (pval >= BASE || pval <= -BASE) + { + lldiv_t dt = my_lldiv(pval, BASE); + carry = (ELEM_TYPE) dt.quot; + pval = dt.rem; + } + else + { + carry = 0; + } + val[i] = (ELEM_TYPE) pval; + } + if (carry > 0) + { + val.push_back(carry); + } +} + +/**************************************************************/ +/******************** NON-MEMBER OPERATORS ********************/ +/**************************************************************/ + +inline std::istream& operator>>(std::istream &s, InfInt &n) +{ + //PROFINY_SCOPE + std::string str; + s >> str; + n.fromString(str); + return s; +} + +inline std::ostream& operator<<(std::ostream &s, const InfInt &n) +{ + //PROFINY_SCOPE + if (!n.pos) + { + s << '-'; + } + bool first = true; + for (int i = (int) n.val.size() - 1; i >= 0; --i) + { + if (first) + { + s << n.val[i]; + first = false; + } + else + { + s << std::setfill('0') << std::setw(DIGIT_COUNT) << n.val[i]; + } + } + return s; +} + +#endif \ No newline at end of file diff --git a/main.cpp b/main.cpp index 88f303b..5ac897d 100644 --- a/main.cpp +++ b/main.cpp @@ -1,14 +1,95 @@ #define OLC_PGE_APPLICATION #include "pixelGameEngine.h" #include "olcutils.h" -#include "BigInt.h" +#include "InfInt.h" using namespace olc; -// C++ program to implement -// the above approach + + +//Break down each number into its raw factors. +//The number itself is also stored. +//If the factorization is larger than 19, we can discard it. It shouldn't matter. + +std::vectorfactor(int numb){ + std::vectorfactors; + while (numb>1){ + for (int i=2;ifactors; + std::vector>offsets; + factorNumber(int numb){ + SetupOffsets(); + } + factorNumber&operator=(int numb){ + factors.clear(); + offsets.clear(); + SetupOffsets(); + factors=factor(numb); + return*this; + } + factorNumber&operator+=(int numb){ + for (int i=0;i&offset=offsets[i]; + offset.second=(offset.second+numb)%offset.first; + } + return*this; + } + factorNumber&operator*=(int numb){ + std::vectorfactors=factor(numb); + for (int i=0;ifactors.size();j++){ + if (this->factors[j]==factors[i]){ + goto gonext; + } + } + this->factors.push_back(factors[i]); + gonext:; + } + return*this; + } + int operator%(int numb){ + for (int i=0;i items; + std::vector items; char operation; int operation_amt; int divisible; @@ -22,22 +103,26 @@ int main() std::vector monkeys; std::ifstream file("input"); - monkeys.push_back({{89,95,92,64,87,68},'*',11,2,7,4}); + /*monkeys.push_back({{89,95,92,64,87,68},'*',11,2,7,4}); monkeys.push_back({{87,67},'+',1,13,3,6}); monkeys.push_back({{95, 79, 92, 82, 60},'+',6,3,1,6}); monkeys.push_back({{67, 97, 56},'*',-1,17,7,0}); monkeys.push_back({{80, 68, 87, 94, 61, 59, 50, 68},'*',7,19,5,2}); monkeys.push_back({{73, 51, 76, 59},'+',8,7,2,1}); monkeys.push_back({{92},'+',5,11,3,0}); - monkeys.push_back({{99, 76, 78, 76, 79, 90, 89},'+',7,5,4,5}); + monkeys.push_back({{99, 76, 78, 76, 79, 90, 89},'+',7,5,4,5});*/ + monkeys.push_back({{79,98},'*',19,23,2,3}); + monkeys.push_back({{54, 65, 75, 74},'+',6,19,2,0}); + monkeys.push_back({{79, 60, 97},'*',-1,13,1,3}); + monkeys.push_back({{74},'+',3,17,0,1}); for (int round=0;round<10000;round++){ for (int i=0;i