oj.uz

Submission #142494

# Submission time Handle Problem Language Result Execution time Memory
142494 2019-08-09T10:10:45 Z cookiedoth Remittance (JOI19_remittance) C++14
100 / 100
 547 ms 44560 KB 
/*

Code for problem B by cookiedoth
Generated 01 Aug 2019 at 02.00 P


СТРОИМ СТЕНУ РАБОТЯГИ!
█▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀█
█═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═█
█═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═█
█═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═█
█═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═█
█═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═█
█═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═█
█═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═█
█═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═╩═╦═█
█▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄█

o_O
-_-
~_^

*/

#include <iostream>
#include <fstream>
#include <vector>
#include <set>
#include <map>
#include <bitset>
#include <algorithm>
#include <iomanip>
#include <cmath>
#include <ctime>
#include <functional>
#include <unordered_set>
#include <unordered_map>
#include <string>
#include <queue>
#include <deque>
#include <stack>
#include <complex>
#include <cassert>
#include <random>
#include <cstring>
#include <numeric>
#define ll long long
#define ld long double
#define null NULL
#define all(a) a.begin(), a.end()
#define debug(a) cerr << #a << " = " << a << endl
#define forn(i, n) for (int i = 0; i < n; ++i)
#define sz(a) (int)a.size()

using namespace std;

template<class T> int chkmax(T &a, T b) {
	if (b > a) {
		a = b;
		return 1;
	}
	return 0;
}

template<class T> int chkmin(T &a, T b) {
	if (b < a) {
		a = b;
		return 1;
	}
	return 0;
}

template<class iterator> void output(iterator begin, iterator end, ostream& out = cerr) {
	while (begin != end) {
		out << (*begin) << " ";
		begin++;
	}
	out << endl;
}

template<class T> void output(T x, ostream& out = cerr) {
	output(x.begin(), x.end(), out);
}

void fast_io() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
}

/** Fast input-output */

template <class T = int> inline T readInt();						
inline double readDouble();
inline int readUInt();					 
inline int readChar(); // first non-blank character
inline void readWord(char *s); 
inline bool readLine(char *s); // do not save '\n'
inline bool isEof();
inline int getChar(); 
inline int peekChar();
inline bool seekEof();
inline void skipBlanks();

template <class T> inline void writeInt(T x, char end = 0, int len = -1);
inline void writeChar(int x); 
inline void writeWord(const char *s);
inline void writeDouble(double x, int len = 0);
inline void flush();

static struct buffer_flusher_t {
	~buffer_flusher_t() {
		flush();
	}
} buffer_flusher;

/** Read */

static const int buf_size = 4096;

static unsigned char buf[buf_size];
static int buf_len = 0, buf_pos = 0;

inline bool isEof() {
	if (buf_pos == buf_len) {
		buf_pos = 0, buf_len = fread(buf, 1, buf_size, stdin);
		if (buf_pos == buf_len)
			return 1;
	}
	return 0;
}

inline int getChar() { 
	return isEof() ? -1 : buf[buf_pos++];
}

inline int peekChar() { 
	return isEof() ? -1 : buf[buf_pos];
}

inline bool seekEof() { 
	int c;
	while ((c = peekChar()) != -1 && c <= 32)
		buf_pos++;
	return c == -1;
}

inline void skipBlanks() {
	while (!isEof() && buf[buf_pos] <= 32U)
		buf_pos++;
}

inline int readChar() {
	int c = getChar();
	while (c != -1 && c <= 32)
		c = getChar();
	return c;
}

inline int readUInt() {
	int c = readChar(), x = 0;
	while ('0' <= c && c <= '9')
		x = x * 10 + c - '0', c = getChar();
	return x;
}

template <class T>
inline T readInt() {
	int s = 1, c = readChar();
	T x = 0;
	if (c == '-')
		s = -1, c = getChar();
	else if (c == '+')
		c = getChar();
	while ('0' <= c && c <= '9')
		x = x * 10 + c - '0', c = getChar();
	return s == 1 ? x : -x;
}

inline double readDouble() {
	int s = 1, c = readChar();
	double x = 0;
	if (c == '-')
		s = -1, c = getChar();
	while ('0' <= c && c <= '9')
		x = x * 10 + c - '0', c = getChar();
	if (c == '.') {
		c = getChar();
		double coef = 1;
		while ('0' <= c && c <= '9')
			x += (c - '0') * (coef *= 1e-1), c = getChar();
	}
	return s == 1 ? x : -x;
}

inline void readWord(char *s) { 
	int c = readChar();
	while (c > 32)
		*s++ = c, c = getChar();
	*s = 0;
}

inline bool readLine(char *s) { 
	int c = getChar();
	while (c != '\n' && c != -1)
		*s++ = c, c = getChar();
	*s = 0;
	return c != -1;
}

/** Write */

static int write_buf_pos = 0;
static char write_buf[buf_size];

inline void writeChar(int x) {
	if (write_buf_pos == buf_size)
		fwrite(write_buf, 1, buf_size, stdout), write_buf_pos = 0;
	write_buf[write_buf_pos++] = x;
}

inline void flush() {
	if (write_buf_pos) {
		fwrite(write_buf, 1, write_buf_pos, stdout), write_buf_pos = 0;
		fflush(stdout);
	}
}

template <class T> 
inline void writeInt(T x, char end, int output_len) {
	if (x < 0)
		writeChar('-'), x = -x;

	char s[24];
	int n = 0;
	while (x || !n)
		s[n++] = '0' + x % 10, x /= 10;
	while (n < output_len)
		s[n++] = '0';
	while (n--)
		writeChar(s[n]);
	if (end)
		writeChar(end);
}

inline void writeWord(const char *s) {
	while (*s)
		writeChar(*s++);
}

inline void writeDouble(double x, int output_len) {
	if (x < 0)
		writeChar('-'), x = -x;
	int t = (int)x;
	writeInt(t), x -= t;
	writeChar('.');
	for (int i = output_len - 1; i > 0; i--) {
		x *= 10;
		t = std::min(9, (int)x);
		writeChar('0' + t), x -= t;
	}
	x *= 10;
	t = std::min(9, (int)(x + 0.5));
	writeChar('0' + t);
}

int normalize(vector<int> &a) {
	for (int i = 0; i < a.size(); ++i) {
		if (i == (int)a.size() - 1) {
			if (a[i] < 0) {
				for (int j = 0; j < a.size(); ++j) {
					a[j] = -a[j];
				}
				normalize(a);
				return -1;
			}
			if (a[i] > 1) {
				a.push_back(0);
			}
		}
		if (a[i] < 0) {
			int cnt = abs((a[i] - 1) / 2);
			a[i] += 2 * cnt;
			a[i + 1] -= cnt;
		}
		if (a[i] >= 2) {
			int cnt = a[i] / 2;
			a[i] -= 2 * cnt;
			a[i + 1] += cnt;
		}
	}
	while (a.size() > 1 && a.back() == 0) {
		a.pop_back();
	}
	return 1;
}

vector<int> multiply(vector<int> &a, vector<int> &b) {
	vector<int> res((int)a.size() + (int)b.size() - 1);
	for (int j = 0; j < b.size(); ++j) {
		if (b[j]) {
			for (int i = 0; i < a.size(); ++i) {
				res[i + j] += a[i];
			}
		}
	}
	normalize(res);
	return res;
}

int smaller_or_eq(vector<int> &a, vector<int> &b) {
	if (a.size() < b.size()) {
		return 1;
	}
	if (a.size() > b.size()) {
		return 0;
	}
	for (int i = (int)a.size() - 1; i >= 0; --i) {
		if (a[i] > b[i]) {
			return 0;
		}
		if (a[i] < b[i]) {
			return 1;
		}
	}
	return 1;
}

vector<int> divide(vector<int> &a, vector<int> &b, int bits) {
	/*cerr << "divide" << endl;
	output(all(a));
	output(all(b));*/
	vector<int> res(bits), mult;
	for (int i = bits - 1; i >= 0; --i) {
		res[i] = 1;
		mult = multiply(b, res);
		if (!smaller_or_eq(mult, a)) {
			res[i] = 0;
		}
		else {
			//cerr << "put " << i << endl;
			//output(all(mult));
		}
	}
	mult = multiply(b, res);
	if (mult != a) {
		return vector<int> ();
	}
	normalize(res);
	return res;
}

const int mx = 1e6 + 228;
int n;
ll sum_a, sum_b, d[mx], x[mx];

void yes() {
	writeWord("Yes\n");
	exit(0);
}

void no() {
	writeWord("No\n");
	exit(0);
}

const int IQ = 35;

signed main() {
	fast_io();
	n = readInt();
	for (int i = 0; i < n; ++i) {
		ll ai, bi;
		ai = readInt();
		bi = readInt();
		sum_a += ai;
		sum_b += bi;
		d[i] = bi - ai;
	}
	if (sum_b == 0) {
		if (sum_a == 0) {
			yes();
		}
		no();
	}
	//output(d, d + n);
	vector<int> vd(d, d + n);
	int sign = normalize(vd);
	//output(all(vd));
	vector<int> zero = {0};
	if (sign == 1 && vd != zero) {
		no();
	}

	vector<int> to_divide(n, 1);
	vector<int> res = divide(vd, to_divide, IQ);
	if (res.empty()) {
		no();
	}
	//output(all(res));
	for (int i = 0; i < IQ; ++i) {
		x[0] += (1LL << i) * (ll)res[i];
	}
	for (int i = n - 1; i >= 1; --i) {
		x[i] = d[i] + 2 * x[(i + 1) % n];
	}
	for (int i = 0; i < n; ++i) {
		if (x[i] < 0) {
			no();
		}
	}
	yes();
}

Compilation message

remittance.cpp: In function 'int normalize(std::vector<int>&)':
remittance.cpp:268:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < a.size(); ++i) {
                  ~~^~~~~~~~~~
remittance.cpp:271:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int j = 0; j < a.size(); ++j) {
                     ~~^~~~~~~~~~
remittance.cpp: In function 'std::vector<int> multiply(std::vector<int>&, std::vector<int>&)':
remittance.cpp:300:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int j = 0; j < b.size(); ++j) {
                  ~~^~~~~~~~~~
remittance.cpp:302:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for (int i = 0; i < a.size(); ++i) {
                    ~~^~~~~~~~~~

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 392 KB Output is correct
9 Correct 2 ms 428 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 2 ms 376 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 392 KB Output is correct
9 Correct 2 ms 428 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 2 ms 376 KB Output is correct
35 Correct 2 ms 376 KB Output is correct
36 Correct 2 ms 376 KB Output is correct
37 Correct 2 ms 376 KB Output is correct
38 Correct 2 ms 376 KB Output is correct
39 Correct 2 ms 376 KB Output is correct
40 Correct 2 ms 376 KB Output is correct
41 Correct 2 ms 376 KB Output is correct
42 Correct 2 ms 376 KB Output is correct
43 Correct 2 ms 376 KB Output is correct
44 Correct 2 ms 376 KB Output is correct
45 Correct 2 ms 380 KB Output is correct
46 Correct 2 ms 376 KB Output is correct
47 Correct 2 ms 380 KB Output is correct
48 Correct 2 ms 376 KB Output is correct
49 Correct 2 ms 376 KB Output is correct
50 Correct 3 ms 376 KB Output is correct
51 Correct 3 ms 376 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 4 ms 376 KB Output is correct
54 Correct 3 ms 376 KB Output is correct
55 Correct 4 ms 376 KB Output is correct
56 Correct 2 ms 376 KB Output is correct
57 Correct 2 ms 376 KB Output is correct
58 Correct 2 ms 376 KB Output is correct
59 Correct 2 ms 376 KB Output is correct
60 Correct 2 ms 376 KB Output is correct
61 Correct 2 ms 376 KB Output is correct
62 Correct 2 ms 376 KB Output is correct

Subtask #3
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 392 KB Output is correct
9 Correct 2 ms 428 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 376 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 2 ms 376 KB Output is correct
33 Correct 2 ms 376 KB Output is correct
34 Correct 2 ms 376 KB Output is correct
35 Correct 2 ms 376 KB Output is correct
36 Correct 2 ms 376 KB Output is correct
37 Correct 2 ms 376 KB Output is correct
38 Correct 2 ms 376 KB Output is correct
39 Correct 2 ms 376 KB Output is correct
40 Correct 2 ms 376 KB Output is correct
41 Correct 2 ms 376 KB Output is correct
42 Correct 2 ms 376 KB Output is correct
43 Correct 2 ms 376 KB Output is correct
44 Correct 2 ms 376 KB Output is correct
45 Correct 2 ms 380 KB Output is correct
46 Correct 2 ms 376 KB Output is correct
47 Correct 2 ms 380 KB Output is correct
48 Correct 2 ms 376 KB Output is correct
49 Correct 2 ms 376 KB Output is correct
50 Correct 3 ms 376 KB Output is correct
51 Correct 3 ms 376 KB Output is correct
52 Correct 2 ms 376 KB Output is correct
53 Correct 4 ms 376 KB Output is correct
54 Correct 3 ms 376 KB Output is correct
55 Correct 4 ms 376 KB Output is correct
56 Correct 2 ms 376 KB Output is correct
57 Correct 2 ms 376 KB Output is correct
58 Correct 2 ms 376 KB Output is correct
59 Correct 2 ms 376 KB Output is correct
60 Correct 2 ms 376 KB Output is correct
61 Correct 2 ms 376 KB Output is correct
62 Correct 2 ms 376 KB Output is correct
63 Correct 81 ms 35320 KB Output is correct
64 Correct 195 ms 27916 KB Output is correct
65 Correct 493 ms 42924 KB Output is correct
66 Correct 208 ms 27984 KB Output is correct
67 Correct 225 ms 29340 KB Output is correct
68 Correct 264 ms 31612 KB Output is correct
69 Correct 450 ms 43444 KB Output is correct
70 Correct 182 ms 27896 KB Output is correct
71 Correct 196 ms 29228 KB Output is correct
72 Correct 216 ms 31660 KB Output is correct
73 Correct 418 ms 43372 KB Output is correct
74 Correct 194 ms 27856 KB Output is correct
75 Correct 202 ms 29228 KB Output is correct
76 Correct 223 ms 31644 KB Output is correct
77 Correct 406 ms 43600 KB Output is correct
78 Correct 34 ms 19832 KB Output is correct
79 Correct 34 ms 19832 KB Output is correct
80 Correct 392 ms 35716 KB Output is correct
81 Correct 402 ms 35520 KB Output is correct
82 Correct 20 ms 12152 KB Output is correct
83 Correct 26 ms 15992 KB Output is correct
84 Correct 21 ms 12152 KB Output is correct
85 Correct 508 ms 44560 KB Output is correct
86 Correct 547 ms 44308 KB Output is correct
87 Correct 44 ms 20856 KB Output is correct
88 Correct 490 ms 36780 KB Output is correct