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#include <stdio.h>
#include <iostream>
#include <vector>
#include <map>
#include "bignum.h"
//Integer to string conversion
std::string intToDecimal(int branch) {
if (branch < 10) return nums.substr(branch, 1);
else return intToDecimal(branch / 10) + nums.substr(branch % 10,1);
}
//Add two strings representing decimal values
std::string decimalAdd(std::string a, std::string b) {
std::string o = a;
while (b.length() < a.length()) b = "0" + b;
while (o.length() < b.length()) o = "0" + o;
bool carry = false;
for (int i = o.length() - 1; i >= 0; i--) {
o[i] = o[i] + b[i] - '0';
if (carry) o[i]++;
if (o[i] > '9') {
o[i] -= 10;
carry = true;
}
else carry = false;
}
if (carry) o = "1" + o;
return o;
}
//Helper function for decimalMul
std::string decimalDigitMul(std::string a, int dig) {
if (dig == 0) return "0";
else return decimalAdd(a, decimalDigitMul(a, dig - 1));
}
//Multiply two strings representing decimal values
std::string decimalMul(std::string a, std::string b) {
std::string o = "0";
for (unsigned i = 0; i < b.length(); i++) {
std::string n = decimalDigitMul(a, b[i] - '0');
if (n != "0") {
for (unsigned j = i + 1; j < b.length(); j++) n += "0";
}
o = decimalAdd(o, n);
}
return o;
}
//Is a greater than b? Flag allows equality
bool decimalGt(std::string a, std::string b, bool eqAllowed) {
if (a == b) return eqAllowed;
return (a.length() > b.length()) || (a.length() >= b.length() && a > b);
}
//Subtract the two strings representing decimal values
std::string decimalSub(std::string a, std::string b) {
if (b == "0") return a;
if (b == a) return "0";
while (b.length() < a.length()) b = "0" + b;
std::string c = b;
for (unsigned i = 0; i < c.length(); i++) c[i] = '0' + ('9' - c[i]);
std::string o = decimalAdd(decimalAdd(a, c).substr(1), "1");
while (o.size() > 1 && o[0] == '0') o = o.substr(1);
return o;
}
//Divide the two strings representing decimal values
std::string decimalDiv(std::string a, std::string b) {
std::string c = b;
if (decimalGt(c, a)) return "0";
int zeroes = -1;
while (decimalGt(a, c, true)) {
zeroes += 1;
c = c + "0";
}
c = c.substr(0, c.size() - 1);
std::string quot = "0";
while (decimalGt(a, c, true)) {
a = decimalSub(a, c);
quot = decimalAdd(quot, "1");
}
for (int i = 0; i < zeroes; i++) quot += "0";
return decimalAdd(quot, decimalDiv(a, b));
}
//Modulo the two strings representing decimal values
std::string decimalMod(std::string a, std::string b) {
return decimalSub(a, decimalMul(decimalDiv(a, b), b));
}
//String to int conversion
int decimalToInt(std::string a) {
if (a.size() == 0) return 0;
else return (a[a.size() - 1] - '0')
+ decimalToInt(a.substr(0,a.size()-1)) * 10;
}