Submission #219612

#	Time	Username	Problem	Language	Result	Execution time	Memory
219612		mode149256	Horses (IOI15_horses)	C++14	17 / 100	1603 ms	225656 KiB

horses

#include <bits/stdc++.h>
#include "horses.h"
using namespace std;

typedef long long ll;
typedef vector<int> vi;
#define x first
#define y second
const int MOD = 1000000007;

const int base = 1000000000;
const int base_digits = 9;

struct Int {
	vector<int> a;
	int sign;
	Int() :
		sign(1) {
	}
	Int(long long v) {
		*this = v;
	}
	void operator=(const Int &v) {
		sign = v.sign;
		a = v.a;
	}
	void operator=(long long v) {
		sign = 1;
		a.clear();
		if (v < 0)
			sign = -1, v = -v;
		for (; v > 0; v = v / base)
			a.push_back(v % base);
	}
	Int operator+(const Int &v) const {
		if (sign == v.sign) {
			Int res = v;
			for (int i = 0, carry = 0; i < (int) max(a.size(), v.a.size()) || carry; ++i) {
				if (i == (int) res.a.size())
					res.a.push_back(0);
				res.a[i] += carry + (i < (int) a.size() ? a[i] : 0);
				carry = res.a[i] >= base;
				if (carry)
					res.a[i] -= base;
			}
			return res;
		}
		return *this - (-v);
	}
	Int operator-(const Int &v) const {
		if (sign == v.sign) {
			if (abs() >= v.abs()) {
				Int res = *this;
				for (int i = 0, carry = 0; i < (int) v.a.size() || carry; ++i) {
					res.a[i] -= carry + (i < (int) v.a.size() ? v.a[i] : 0);
					carry = res.a[i] < 0;
					if (carry)
						res.a[i] += base;
				}
				res.trim();
				return res;
			}
			return -(v - *this);
		}
		return *this + (-v);
	}
	void operator*=(int v) {
		if (v < 0) {
			sign = -sign, v = -v;
		}

		for (int i = 0, carry = 0; i < (int) a.size() || carry; ++i) {
			if (i == (int) a.size())
				a.push_back(0);
			long long cur = a[i] * (long long) v + carry;
			carry = (int) (cur / base);
			a[i] = (int) (cur % base);
		}
		trim();
	}
	Int operator*(int v) const {
		Int res = *this;
		res *= v;
		return res;
	}
	void operator*=(long long v) {
		if (v < 0) {
			sign = -sign, v = -v;
		}
		for (int i = 0, carry = 0; i < (int) a.size() || carry; ++i) {
			if (i == (int) a.size())
				a.push_back(0);
			long long cur = a[i] * (long long) v + carry;
			carry = (int) (cur / base);
			a[i] = (int) (cur % base);
		}
		trim();
	}
	Int operator*(long long v) const {
		Int res = *this;
		res *= v;
		return res;
	}
	friend pair<Int, Int> divmod(const Int &a1, const Int &b1) {
		int norm = base / (b1.a.back() + 1);
		Int a = a1.abs() * norm;
		Int b = b1.abs() * norm;
		Int q, r;
		q.a.resize(a.a.size());
		for (int i = a.a.size() - 1; i >= 0; i--) {
			r *= base;
			r += a.a[i];
			int s1 = r.a.size() <= b.a.size() ? 0 : r.a[b.a.size()];
			int s2 = r.a.size() <= b.a.size() - 1 ? 0 : r.a[b.a.size() - 1];
			int d = ((long long) base * s1 + s2) / b.a.back();
			r -= b * d;
			while (r < 0) {
				r += b, --d;
			}
			q.a[i] = d;
		}
		q.sign = a1.sign * b1.sign;
		r.sign = a1.sign;
		q.trim();
		r.trim();
		return make_pair(q, r / norm);
	}
	Int operator/(const Int &v) const {
		return divmod(*this, v).first;
	}
	Int operator%(const Int &v) const {
		return divmod(*this, v).second;
	}
	void operator/=(int v) {
		if (v < 0) {
			sign = -sign, v = -v;
		}
		for (int i = (int) a.size() - 1, rem = 0; i >= 0; --i) {
			long long cur = a[i] + rem * (long long) base;
			a[i] = (int) (cur / v);
			rem = (int) (cur % v);
		}
		trim();
	}
	Int operator/(int v) const {
		Int res = *this;
		res /= v;
		return res;
	}
	int operator%(int v) const {
		if (v < 0)
			v = -v;
		int m = 0;
		for (int i = a.size() - 1; i >= 0; --i) {
			m = (a[i] + m * (long long) base) % v;
		}
		return m * sign;
	}
	void operator+=(const Int &v) {
		*this = *this + v;
	}
	void operator-=(const Int &v) {
		*this = *this - v;
	}
	void operator*=(const Int &v) {
		*this = *this * v;
	}
	void operator/=(const Int &v) {
		*this = *this / v;
	}
	bool operator<(const Int &v) const {
		if (sign != v.sign)
			return sign < v.sign;
		if (a.size() != v.a.size())
			return a.size() * sign < v.a.size() * v.sign;
		for (int i = a.size() - 1; i >= 0; i--)
			if (a[i] != v.a[i])
				return a[i] * sign < v.a[i] * sign;
		return false;
	}
	bool operator>(const Int &v) const {
		return v < *this;
	}
	bool operator<=(const Int &v) const {
		return !(v < *this);
	}
	bool operator>=(const Int &v) const {
		return !(*this < v);
	}
	bool operator==(const Int &v) const {
		return !(*this < v) && !(v < *this);
	}
	bool operator!=(const Int &v) const {
		return *this < v || v < *this;
	}
	void trim() {
		while (!a.empty() && !a.back())
			a.pop_back();
		if (a.empty())
			sign = 1;
	}
	bool isZero() const {
		return a.empty() || (a.size() == 1 && !a[0]);
	}
	Int operator-() const {
		Int res = *this;
		res.sign = -sign;
		return res;
	}
	Int abs() const {
		Int res = *this;
		res.sign *= res.sign;
		return res;
	}
	long long longValue() const {
		long long res = 0;
		for (int i = a.size() - 1; i >= 0; i--)
			res = res * base + a[i];
		return res * sign;
	}
	static vector<int> convert_base(const vector<int> &a, int old_digits, int new_digits) {
		vector<long long> p(max(old_digits, new_digits) + 1);
		p[0] = 1;
		for (int i = 1; i < (int) p.size(); i++) {
			p[i] = p[i - 1] * 10;
		}
		vector<int> res;
		long long cur = 0;
		int cur_digits = 0;
		for (int i = 0; i < (int) a.size(); i++) {
			cur += a[i] * p[cur_digits];
			cur_digits += old_digits;
			while (cur_digits >= new_digits) {
				res.push_back(int(cur % p[new_digits]));
				cur /= p[new_digits];
				cur_digits -= new_digits;
			}
		}
		res.push_back((int) cur);
		while (!res.empty() && !res.back()) {
			res.pop_back();
		}
		return res;
	}
	typedef vector<long long> vll;
	static vll karatsubaMultiply(const vll &a, const vll &b) {
		int n = a.size();
		vll res(n + n);
		if (n <= 32) {
			for (int i = 0; i < n; i++)
				for (int j = 0; j < n; j++) {
					res[i + j] += a[i] * b[j];
				}
			return res;
		}
		int k = n >> 1;
		vll a1(a.begin(), a.begin() + k);
		vll a2(a.begin() + k, a.end());
		vll b1(b.begin(), b.begin() + k);
		vll b2(b.begin() + k, b.end());
		vll a1b1 = karatsubaMultiply(a1, b1);
		vll a2b2 = karatsubaMultiply(a2, b2);
		for (int i = 0; i < k; i++)
			a2[i] += a1[i];
		for (int i = 0; i < k; i++)
			b2[i] += b1[i];
		vll r = karatsubaMultiply(a2, b2);
		for (int i = 0; i < (int) a1b1.size(); i++)
			r[i] -= a1b1[i];
		for (int i = 0; i < (int) a2b2.size(); i++)
			r[i] -= a2b2[i];
		for (int i = 0; i < (int) r.size(); i++)
			res[i + k] += r[i];
		for (int i = 0; i < (int) a1b1.size(); i++)
			res[i] += a1b1[i];
		for (int i = 0; i < (int) a2b2.size(); i++)
			res[i + n] += a2b2[i];
		return res;
	}
	Int operator*(const Int &v) const {
		vector<int> a6 = convert_base(this->a, base_digits, 6);
		vector<int> b6 = convert_base(v.a, base_digits, 6);
		vll a(a6.begin(), a6.end());
		vll b(b6.begin(), b6.end());
		while (a.size() < b.size())
			a.push_back(0);
		while (b.size() < a.size())
			b.push_back(0);
		while (a.size() & (a.size() - 1))
			a.push_back(0), b.push_back(0);
		vll c = karatsubaMultiply(a, b);
		Int res;
		res.sign = sign * v.sign;
		for (int i = 0, carry = 0; i < (int) c.size(); i++) {
			long long cur = c[i] + carry;
			res.a.push_back((int) (cur % 1000000));
			carry = (int) (cur / 1000000);
		}
		res.a = convert_base(res.a, 6, base_digits);
		res.trim();
		return res;
	}
};
struct node {
	int l, r;
	Int did;
	Int kart;
	Int dalint;
	node *left = nullptr;
	node *right = nullptr;
	node(int a, int b): l(a), r(b) {
		did = 1;
		kart = 1;
		dalint = 1;
		if (l != r) {
			left = new node(l, (l + r) / 2);
			right = new node((l + r) / 2 + 1, r);
		}
	}
	inline void push() {
		if (kart == 1 and dalint == 1) return;
		if (dalint != 1) did /= dalint;
		did *= kart;
		if (l != r) {
			left->kart *= kart;
			left->dalint *= dalint;
			right->kart *= kart;
			right->dalint *= dalint;
		}
		kart = 1;
		dalint = 1;
	}
	inline void upd() {
		if (l == r) return;
		did = max(left->did, right->did);
	}
	void daug(int a, int b, Int val) {
		push();
		if (b < l or r < a) return;
		if (a <= l and r <= b) {
			kart *= val;
			push();
		} else {
			left->daug(a, b, val);
			right->daug(a, b, val);
			did = (left->did > right->did ? left->did : right->did);
		}
	}
	void dal(int a, int b, Int val) {
		push();
		if (b < l or r < a) return;
		if (a <= l and r <= b) {
			dalint *= val;
			push();
		} else {
			left->dal(a, b, val);
			right->dal(a, b, val);
			did = (left->did > right->did ? left->did : right->did);
		}
	}
};

node *medis = nullptr;
vi x, y;
int n;
int init(int N, int X[], int Y[]) {
	medis = new node(0, N - 1);
	n = N;
	for (int i = 0; i < N; ++i)
	{
		medis->daug(i, N - 1, (Int)X[i]);
		medis->daug(i, i, (Int)Y[i]);
		x.emplace_back(X[i]);
		y.emplace_back(Y[i]);
	}
	ll ats = divmod(medis->did, MOD).y.longValue();
	return (int)ats;
}
int updateX(int pos, int val) {
	medis->dal(pos, n - 1, x[pos]);
	x[pos] = val;
	medis->daug(pos, n - 1, x[pos]);
	ll ats = divmod(medis->did, MOD).y.longValue();
	return (int)ats;
}
int updateY(int pos, int val) {
	medis->dal(pos, pos, y[pos]);
	y[pos] = val;
	medis->daug(pos, pos, y[pos]);
	ll ats = divmod(medis->did, MOD).y.longValue();
	return (int)ats;
}

Compilation message (stderr)

horses.cpp: In member function 'void Int::operator=(long long int)':
horses.cpp:33:18: warning: conversion to 'std::vector<int>::value_type {aka int}' from 'long long int' may alter its value [-Wconversion]
    a.push_back(v % base);
                ~~^~~~~~
horses.cpp: In function 'std::pair<Int, Int> divmod(const Int&, const Int&)':
horses.cpp:110:27: warning: conversion to 'int' from 'std::vector<int>::size_type {aka long unsigned int}' may alter its value [-Wconversion]
   for (int i = a.a.size() - 1; i >= 0; i--) {
                ~~~~~~~~~~~^~~
horses.cpp:115:41: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
    int d = ((long long) base * s1 + s2) / b.a.back();
            ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
horses.cpp: In member function 'int Int::operator%(int) const':
horses.cpp:154:25: warning: conversion to 'int' from 'std::vector<int>::size_type {aka long unsigned int}' may alter its value [-Wconversion]
   for (int i = a.size() - 1; i >= 0; --i) {
                ~~~~~~~~~^~~
horses.cpp:155:38: warning: conversion to 'int' from 'long long int' may alter its value [-Wconversion]
    m = (a[i] + m * (long long) base) % v;
        ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~
horses.cpp: In member function 'bool Int::operator<(const Int&) const':
horses.cpp:176:25: warning: conversion to 'int' from 'std::vector<int>::size_type {aka long unsigned int}' may alter its value [-Wconversion]
   for (int i = a.size() - 1; i >= 0; i--)
                ~~~~~~~~~^~~
horses.cpp: In member function 'long long int Int::longValue() const':
horses.cpp:217:25: warning: conversion to 'int' from 'std::vector<int>::size_type {aka long unsigned int}' may alter its value [-Wconversion]
   for (int i = a.size() - 1; i >= 0; i--)
                ~~~~~~~~~^~~
horses.cpp: In static member function 'static Int::vll Int::karatsubaMultiply(const vll&, const vll&)':
horses.cpp:247:17: warning: conversion to 'int' from 'std::vector<long long int>::size_type {aka long unsigned int}' may alter its value [-Wconversion]
   int n = a.size();
           ~~~~~~^~
horses.cpp: In member function 'Int Int::operator*(const Int&) const':
horses.cpp:283:9: warning: declaration of 'a' shadows a member of 'Int' [-Wshadow]
   vll a(a6.begin(), a6.end());
         ^~
horses.cpp:15:14: note: shadowed declaration is here
  vector<int> a;
              ^

• Subtask 1: 17 / 17
• Subtask 2: 0 / 17
• Subtask 3: 0 / 20
• Subtask 4: 0 / 23
• Subtask 5: 0 / 23