Part 1 done

Co-authored-by: sigonasr2 <sigonasr2@gmail.com>
2 years ago · 6552fb154b
parent 50d0a0fa27
commit 6552fb154b
5 changed files with 560 additions and 76 deletions
--- a/BigInt.cpp
+++ b/BigInt.cpp
@ -0,0 +1,368 @@
+#include "BigInt.h"
+
+BigInt::BigInt(std::string & s){
+	digits = "";
+	int n = s.size();
+	for (int i = n - 1; i >= 0;i--){
+		if(!isdigit(s[i]))
+			throw("ERROR");
+		digits.push_back(s[i] - '0');
+	}
+}
+BigInt::BigInt(unsigned long long nr){
+	do{
+		digits.push_back(nr % 10);
+		nr /= 10;
+	} while (nr);
+}
+BigInt::BigInt(const char *s){
+	digits = "";
+	for (int i = strlen(s) - 1; i >= 0;i--)
+	{
+		if(!isdigit(s[i]))
+			throw("ERROR");
+		digits.push_back(s[i] - '0');
+	}
+}
+BigInt::BigInt(BigInt & a){
+	digits = a.digits;
+}
+
+bool Null(const BigInt& a){
+	if(a.digits.size() == 1 && a.digits[0] == 0)
+		return true;
+	return false;
+}
+int Length(const BigInt & a){
+	return a.digits.size();
+}
+int BigInt::operator[](const int index)const{
+	if(digits.size() <= index || index < 0)
+		throw("ERROR");
+	return digits[index];
+}
+bool operator==(const BigInt &a, const BigInt &b){
+	return a.digits == b.digits;
+}
+bool operator!=(const BigInt & a,const BigInt &b){
+	return !(a == b);
+}
+bool operator<(const BigInt&a,const BigInt&b){
+	int n = Length(a), m = Length(b);
+	if(n != m)
+		return n < m;
+	while(n--)
+		if(a.digits[n] != b.digits[n])
+			return a.digits[n] < b.digits[n];
+	return false;
+}
+bool operator>(const BigInt&a,const BigInt&b){
+	return b < a;
+}
+bool operator>=(const BigInt&a,const BigInt&b){
+	return !(a < b);
+}
+bool operator<=(const BigInt&a,const BigInt&b){
+	return !(a > b);
+}
+
+BigInt &BigInt::operator=(const BigInt &a){
+	digits = a.digits;
+	return *this;
+}
+
+BigInt &BigInt::operator++(){
+	int i, n = digits.size();
+	for (i = 0; i < n && digits[i] == 9;i++)
+		digits[i] = 0;
+	if(i == n)
+		digits.push_back(1);
+	else
+		digits[i]++;
+	return *this;
+}
+BigInt BigInt::operator++(int temp){
+	BigInt aux;
+	aux = *this;
+	++(*this);
+	return aux;
+}
+
+BigInt &BigInt::operator--(){
+	if(digits[0] == 0 && digits.size() == 1)
+		throw("UNDERFLOW");
+	int i, n = digits.size();
+	for (i = 0; digits[i] == 0 && i < n;i++)
+		digits[i] = 9;
+	digits[i]--;
+	if(n > 1 && digits[n - 1] == 0)
+		digits.pop_back();
+	return *this;
+}
+BigInt BigInt::operator--(int temp){
+	BigInt aux;
+	aux = *this;
+	--(*this);
+	return aux;
+}
+
+BigInt &operator+=(BigInt &a,const BigInt& b){
+	int t = 0, s, i;
+	int n = Length(a), m = Length(b);
+	if(m > n)
+		a.digits.append(m - n, 0);
+	n = Length(a);
+	for (i = 0; i < n;i++){
+		if(i < m)
+			s = (a.digits[i] + b.digits[i]) + t;
+		else
+			s = a.digits[i] + t;
+		t = s / 10;
+		a.digits[i] = (s % 10);
+	}
+	if(t)
+		a.digits.push_back(t);
+	return a;
+}
+BigInt operator+(const BigInt &a, const BigInt &b){
+	BigInt temp;
+	temp = a;
+	temp += b;
+	return temp;
+}
+
+BigInt &operator-=(BigInt&a,const BigInt &b){
+	if(a < b)
+		throw("UNDERFLOW");
+	int n = Length(a), m = Length(b);
+	int i, t = 0, s;
+	for (i = 0; i < n;i++){
+		if(i < m)
+			s = a.digits[i] - b.digits[i]+ t;
+		else
+			s = a.digits[i]+ t;
+		if(s < 0)
+			s += 10,
+			t = -1;
+		else
+			t = 0;
+		a.digits[i] = s;
+	}
+	while(n > 1 && a.digits[n - 1] == 0)
+		a.digits.pop_back(),
+		n--;
+	return a;
+}
+BigInt operator-(const BigInt& a,const BigInt&b){
+	BigInt temp;
+	temp = a;
+	temp -= b;
+	return temp;
+}
+
+BigInt &operator*=(BigInt &a, const BigInt &b)
+{
+	if(Null(a) || Null(b)){
+		a = BigInt();
+		return a;
+	}
+	int n = a.digits.size(), m = b.digits.size();
+	std::vector<int> v(n + m, 0);
+	for (int i = 0; i < n;i++)
+		for (int j = 0; j < m;j++){
+			v[i + j] += (a.digits[i] ) * (b.digits[j]);
+		}
+	n += m;
+	a.digits.resize(v.size());
+	for (int s, i = 0, t = 0; i < n; i++)
+	{
+		s = t + v[i];
+		v[i] = s % 10;
+		t = s / 10;
+		a.digits[i] = v[i] ;
+	}
+	for (int i = n - 1; i >= 1 && !v[i];i--)
+			a.digits.pop_back();
+	return a;
+}
+BigInt operator*(const BigInt&a,const BigInt&b){
+	BigInt temp;
+	temp = a;
+	temp *= b;
+	return temp;
+}
+
+BigInt &operator/=(BigInt& a,const BigInt &b){
+	if(Null(b))
+		throw("Arithmetic Error: Division By 0");
+	if(a < b){
+		a = BigInt();
+		return a;
+	}
+	if(a == b){
+		a = BigInt(1);
+		return a;
+	}
+	int i, lgcat = 0, cc;
+	int n = Length(a), m = Length(b);
+	std::vector<int> cat(n, 0);
+	BigInt t;
+	for (i = n - 1; t * 10 + a.digits[i] < b;i--){
+		t *= 10;
+		t += a.digits[i] ;
+	}
+	for (; i >= 0; i--){
+		t = t * 10 + a.digits[i];
+		for (cc = 9; cc * b > t;cc--);
+		t -= cc * b;
+		cat[lgcat++] = cc;
+	}
+	a.digits.resize(cat.size());
+	for (i = 0; i < lgcat;i++)
+		a.digits[i] = cat[lgcat - i - 1];
+	a.digits.resize(lgcat);
+	return a;
+}
+BigInt operator/(const BigInt &a,const BigInt &b){
+	BigInt temp;
+	temp = a;
+	temp /= b;
+	return temp;
+}
+
+BigInt &operator%=(BigInt& a,const BigInt &b){
+	if(Null(b))
+		throw("Arithmetic Error: Division By 0");
+	if(a < b){
+		a = BigInt();
+		return a;
+	}
+	if(a == b){
+		a = BigInt(1);
+		return a;
+	}
+	int i, lgcat = 0, cc;
+	int n = Length(a), m = Length(b);
+	std::vector<int> cat(n, 0);
+	BigInt t;
+	for (i = n - 1; t * 10 + a.digits[i] < b;i--){
+		t *= 10;
+		t += a.digits[i];
+	}
+	for (; i >= 0; i--){
+		t = t * 10 + a.digits[i];
+		for (cc = 9; cc * b > t;cc--);
+		t -= cc * b;
+		cat[lgcat++] = cc;
+	}
+	a = t;
+	return a;
+}
+BigInt operator%(const BigInt &a,BigInt &b){
+	BigInt temp;
+	temp = a;
+	temp %= b;
+	return temp;
+}
+
+BigInt &operator^=(BigInt & a,const BigInt & b){
+	BigInt Exponent, Base(a);
+	Exponent = b;
+	a = 1;
+	while(!Null(Exponent)){
+		if(Exponent[0] & 1)
+			a *= Base;
+		Base *= Base;
+		divide_by_2(Exponent);
+	}
+	return a;
+}
+BigInt operator^(BigInt & a,BigInt & b){
+	BigInt temp(a);
+	temp ^= b;
+	return temp;
+}
+
+void divide_by_2(BigInt & a){
+	int add = 0;
+	for (int i = a.digits.size() - 1; i >= 0;i--){
+		int digit = (a.digits[i] >> 1) + add;
+		add = ((a.digits[i] & 1) * 5);
+		a.digits[i] = digit;
+	}
+	while(a.digits.size() > 1 && !a.digits.back())
+		a.digits.pop_back();
+}
+
+BigInt sqrt(BigInt & a){
+	BigInt left(1), right(a), v(1), mid, prod;
+	divide_by_2(right);
+	while(left <= right){
+		mid += left;
+		mid += right;
+		divide_by_2(mid);
+		prod = (mid * mid);
+		if(prod <= a){
+			v = mid;
+			++mid;
+			left = mid;
+		}
+		else{
+			--mid;
+			right = mid;
+		}
+		mid = BigInt();
+	}
+	return v;
+}
+
+BigInt NthCatalan(int n){
+	BigInt a(1),b;
+	for (int i = 2; i <= n;i++)
+		a *= i;
+	b = a;
+	for (int i = n + 1; i <= 2 * n;i++)
+		b *= i;
+	a *= a;
+	a *= (n + 1);
+	b /= a;
+	return b;
+}
+
+BigInt NthFibonacci(int n){
+	BigInt a(1), b(1), c;
+	if(!n)
+		return c;
+	n--;
+	while(n--){
+		c = a + b;
+		b = a;
+		a = c;
+	}
+	return b;
+}
+
+BigInt Factorial(int n){
+	BigInt f(1);
+	for (int i = 2; i <= n;i++)
+		f *= i;
+	return f;
+}
+
+std::istream &operator>>(std::istream &in,BigInt&a){
+	std::string s;
+	in >> s;
+	int n = s.size();
+	for (int i = n - 1; i >= 0;i--){
+		if(!isdigit(s[i]))
+			throw("INVALID NUMBER");
+		a.digits[n - i - 1] = s[i];
+	}
+	return in;
+}
+
+std::ostream &operator<<(std::ostream &out,const BigInt &a){
+	for (int i = a.digits.size() - 1; i >= 0;i--)
+		std::cout << (short)a.digits[i];
+	return std::cout;
+}
--- a/BigInt.h
+++ b/BigInt.h
@ -0,0 +1,70 @@
+#include "pixelGameEngine.h"
+
+class BigInt{
+	std::string digits;
+public:
+
+	//Constructors:
+	BigInt(unsigned long long n = 0);
+	BigInt(std::string &);
+	BigInt(const char *);
+	BigInt(BigInt &);
+
+	//Helper Functions:
+	friend void divide_by_2(BigInt &a);
+	friend bool Null(const BigInt &);
+	friend int Length(const BigInt &);
+	int operator[](const int)const;
+
+			/* * * * Operator Overloading * * * */
+
+	//Direct assignment
+	BigInt &operator=(const BigInt &);
+
+	//Post/Pre - Incrementation
+	BigInt &operator++();
+	BigInt operator++(int temp);
+	BigInt &operator--();
+	BigInt operator--(int temp);
+
+	//Addition and Subtraction
+	friend BigInt &operator+=(BigInt &, const BigInt &);
+	friend BigInt operator+(const BigInt &, const BigInt &);
+	friend BigInt operator-(const BigInt &, const BigInt &);
+	friend BigInt &operator-=(BigInt &, const BigInt &);
+
+	//Comparison operators
+	friend bool operator==(const BigInt &, const BigInt &);
+	friend bool operator!=(const BigInt &, const BigInt &);
+
+	friend bool operator>(const BigInt &, const BigInt &);
+	friend bool operator>=(const BigInt &, const BigInt &);
+	friend bool operator<(const BigInt &, const BigInt &);
+	friend bool operator<=(const BigInt &, const BigInt &);
+
+	//Multiplication and Division
+	friend BigInt &operator*=(BigInt &, const BigInt &);
+	friend BigInt operator*(const BigInt &, const BigInt &);
+	friend BigInt &operator/=(BigInt &, const BigInt &);
+	friend BigInt operator/(const BigInt &, const BigInt &);
+
+	//Modulo
+	friend BigInt operator%(const BigInt &, const BigInt &);
+	friend BigInt &operator%=(BigInt &, const BigInt &);
+
+	//Power Function
+	friend BigInt &operator^=(BigInt &,const BigInt &);
+	friend BigInt operator^(BigInt &, const BigInt &);
+	
+	//Square Root Function
+	friend BigInt sqrt(BigInt &a);
+
+	//Read and Write
+	friend std::ostream &operator<<(std::ostream &,const BigInt &);
+	friend std::istream &operator>>(std::istream &, BigInt &);
+
+	//Others
+	friend BigInt NthCatalan(int n);
+	friend BigInt NthFibonacci(int n);
+	friend BigInt Factorial(int n);
+};
--- a/BIN
+++ b/BIN
--- a/55
+++ b/55
@ -0,0 +1,55 @@
+Monkey 0:
+  Starting items: 89, 95, 92, 64, 87, 68
+  Operation: new = old * 11
+  Test: divisible by 2
+    If true: throw to monkey 7
+    If false: throw to monkey 4
+
+Monkey 1:
+  Starting items: 87, 67
+  Operation: new = old + 1
+  Test: divisible by 13
+    If true: throw to monkey 3
+    If false: throw to monkey 6
+
+Monkey 2:
+  Starting items: 95, 79, 92, 82, 60
+  Operation: new = old + 6
+  Test: divisible by 3
+    If true: throw to monkey 1
+    If false: throw to monkey 6
+
+Monkey 3:
+  Starting items: 67, 97, 56
+  Operation: new = old * old
+  Test: divisible by 17
+    If true: throw to monkey 7
+    If false: throw to monkey 0
+
+Monkey 4:
+  Starting items: 80, 68, 87, 94, 61, 59, 50, 68
+  Operation: new = old * 7
+  Test: divisible by 19
+    If true: throw to monkey 5
+    If false: throw to monkey 2
+
+Monkey 5:
+  Starting items: 73, 51, 76, 59
+  Operation: new = old + 8
+  Test: divisible by 7
+    If true: throw to monkey 2
+    If false: throw to monkey 1
+
+Monkey 6:
+  Starting items: 92
+  Operation: new = old + 5
+  Test: divisible by 11
+    If true: throw to monkey 3
+    If false: throw to monkey 0
+
+Monkey 7:
+  Starting items: 99, 76, 78, 76, 79, 90, 89
+  Operation: new = old + 7
+  Test: divisible by 5
+    If true: throw to monkey 4
+    If false: throw to monkey 5
--- a/main.cpp
+++ b/main.cpp
@ -1,89 +1,80 @@
 #define OLC_PGE_APPLICATION
 #include "pixelGameEngine.h"
 #include "olcutils.h"
+#include "BigInt.h"

 using namespace olc;
+// C++ program to implement
+// the above approach
+
+struct Monkey{
+    std::vector<BigInt> items;
+    char operation;
+    int operation_amt;
+    int divisible;
+    int trueThrow;
+    int falseThrow;
+    int inspAmt;
+};

-class Example : public olc::PixelGameEngine
-{
-public:
-	Example()
+int main()
 {
-		sAppName = "Example";
+    std::vector<Monkey> monkeys;
+	std::ifstream file("input");
+
+    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});
+
+    for (int round=0;round<10000;round++){
+        for (int i=0;i<monkeys.size();i++){
+            Monkey&m=monkeys[i];
+            m.inspAmt+=m.items.size();
+            for (int j=0;j<m.items.size();j++){
+                BigInt worryLevel=m.items[j];
+                std::cout<<worryLevel<<std::endl;
+                if (m.operation=='+'){
+                    if (m.operation_amt!=-1){
+                        worryLevel+=m.operation_amt;
+                    } else {
+                        worryLevel*=2;
                    }
-
-public:
-    bool RayVsRect(const vf2d ray_origin, const vf2d ray_dir, const olc::utils::geom2d::rect<float> target, vf2d&contact_point, vf2d&contact_normal, float&t_hit_near){
-
-        contact_normal = { 0, 0 };
-        contact_point = { 0, 0 };
-
-        vf2d t_near = {(target.pos.x - ray_origin.x) / ray_dir.x, (target.pos.y - ray_origin.y) / ray_dir.y};
-        vf2d t_far = {(target.pos.x + target.size.x - ray_origin.x) / ray_dir.x, (target.pos.y + target.size.y - ray_origin.y) / ray_dir.y};
-
-        if (t_near.x > t_far.x) {float b; b = t_near.x; t_near.x = t_far.x; t_far.x = b;};
-        if (t_near.y > t_far.y) {float b; b = t_near.y; t_near.y = t_far.y; t_far.y = b;};
-
-        if (t_near.x > t_far.y || t_near.y > t_far.x) return false;
-
-        t_hit_near = fmax(t_near.x, t_near.y);
-        float t_hit_far = fmin(t_far.x, t_far.y);
-
-        if (t_hit_far < 0) return false;
-
-        contact_point.x = ray_origin.x + t_hit_near * ray_dir.x; 
-        contact_point.y = ray_origin.y + t_hit_near * ray_dir.y;
-
-        if (t_near.x > t_near.y)
-            if ( 1.0f / ray_dir.x < 0)
-                contact_normal = { 1, 0 };
-            else
-                contact_normal = { -1, 0};
-        else 
-        if ( t_near.x < t_near.y)
-            if ( 1.0f / ray_dir.y < 0)
-                contact_normal = { 0, 1 };
-            else
-                contact_normal = { 0, -1 };
-        
-        return true;
-
-        
+                } else {
+                    if (m.operation_amt!=-1){
+                        worryLevel*=m.operation_amt;
+                    } else {
+                        worryLevel*=worryLevel;
                    }
-    vf2d originPoint={16,16};
-	bool OnUserCreate() override
-	{
-		// Called once at the start, so create things here
-		return true;
                }
-
-	bool OnUserUpdate(float fElapsedTime) override
-	{
-        vf2d velocity={(GetKey(D).bHeld-GetKey(A).bHeld)*20*fElapsedTime,(GetKey(S).bHeld-GetKey(W).bHeld)*20*fElapsedTime};
-        vf2d contact_point;
-        vf2d contact_normal;
-        float t_hit_near;
-
-		Clear(Pixel(64,64,255));
-        if (!olc::utils::geom2d::overlaps(olc::utils::geom2d::circle<float>{originPoint+velocity,5},olc::utils::geom2d::rect<float>{{32,32},{64,32}})) {
-            originPoint+=velocity;
-            DrawCircle(originPoint,5);
+                //worryLevel/=3;
+                BigInt zero{"0"};
+                if (worryLevel%m.divisible==zero){
+                    Monkey&newMonkey=monkeys[m.trueThrow];
+                    newMonkey.items.push_back(worryLevel);
+                    m.items.erase(m.items.begin());
+                    j--;
                } else {
-            DrawCircle(originPoint,5,RED);
+                    Monkey&newMonkey=monkeys[m.falseThrow];
+                    newMonkey.items.push_back(worryLevel);
+                    m.items.erase(m.items.begin());
+                    j--;
+                }
+            }
        }
-        DrawLine(originPoint,GetMousePos());
-
-        DrawRect({32,32},{64,32},RayVsRect(originPoint, GetMousePos()-originPoint, olc::utils::geom2d::rect<float>{{32,32},{64,32}},contact_point,contact_normal,t_hit_near)&&t_hit_near<1?YELLOW:WHITE);
-		return true;
    }
-};

+    std::sort(monkeys.begin(),monkeys.end(),[](Monkey&first,Monkey&second){return second.inspAmt<first.inspAmt;});
+    for (int i=0;i<monkeys.size();i++){
+        Monkey&m=monkeys[i];
+        std::cout<<"Monkey "<<i<<": "<<m.inspAmt<<" inspections"<<std::endl;
+    }

-int main()
-{
-	Example demo;
-	if (demo.Construct(128, 120, 8, 8))
-		demo.Start();
+    std::cout<<(monkeys[0].inspAmt*monkeys[1].inspAmt)<<std::endl;

 	return 0;
 }