oj.uz

Submission #406457

# Submission time Handle Problem Language Result Execution time Memory
406457 2021-05-17T15:39:19 Z atoiz Nicelines (RMI20_nicelines) C++14
99.9228 / 100
 12 ms 424 KB 
#include <stdio.h>
#include <math.h>
#include <algorithm>
#include <vector>

#include "nice_lines.h"

const int X = 100000;

bool equals(long double x, long double y) { 
	return std::abs(x - y) <= std::max((long double) 0.0000001, std::abs(std::max(x, y) / 10000000000)); 
}

void add(int64_t Y, std::vector<int> &A, std::vector<int> &B) {
	int b = int(Y % X);
	while (b > 10000) b -= X;
	while (b < -10000) b += X;
	A.push_back((Y - b) / X), B.push_back(b);
}

int64_t roundDouble(long double x) {
	if (x < 0) return -int64_t(0.5 - x);
	else return int64_t(x + 0.5);
}

void solve_range(int64_t lo, long double dist_lo_0, long double dist_lo_1, int64_t hi, long double dist_hi_0, long double dist_hi_1, std::vector<int> &a, std::vector<int> &b) {
	long double slope_lo = (dist_lo_1 - dist_lo_0) / 40000, slope_hi = (dist_hi_1 - dist_hi_0) / 40000;
	if (equals(slope_lo, slope_hi)) return;
	if (lo >= hi) return;
	// fprintf(stderr, "%lld %lld\n", lo, hi);
	// fprintf(stderr, "%lf %lf\n", (double) slope_lo, (double) slope_hi);

	long double dy = ((dist_lo_0 - slope_lo * lo) - (dist_hi_0 - slope_hi * hi)) / (slope_hi - slope_lo);
	// fprintf(stderr, "%lf\n", (double) dy);
	int64_t y = roundDouble(dy);
	// fprintf(stderr, "%lf\n", double(((dist_lo_0 - slope_lo * lo) - (dist_hi_0 - slope_hi * hi)) / (slope_hi - slope_lo)));
	long double dist_y = query(X, y - 20000);
	fprintf(stderr, "%.10lf == %.10lf\n", double(dist_y), double(dist_lo_0 + (y - lo) * slope_lo));
	fprintf(stderr, "%.10lf == %.10lf\n", double(dist_y), double(dist_hi_0 + (y - hi) * slope_hi));
	if (equals(dist_y, dist_lo_0 + (y - lo) * slope_lo) && equals(dist_y, dist_hi_0 + (y - hi) * slope_hi)) {
		add(y - 20000, a, b);
		return;
	}

	int64_t md = y - (y % 100000) + 50000 + (y % 100000 > 80000) * 100000;
	if (md == lo) md += 100000;
	if (md == hi) md -= 100000;
	long double dist_md_0 = query(X, md - 20000);
	long double dist_md_1 = query(X, md + 20000);

	solve_range(lo, dist_lo_0, dist_lo_1, md, dist_md_0, dist_md_1, a, b);
	solve_range(md, dist_md_0, dist_md_1, hi, dist_hi_0, dist_hi_1, a, b);
}

void solve(int subtask_id, int N) {
	int64_t lo = -1100000000ll + 50000, hi = 1100000000ll + 50000;
	std::vector<int> a, b;
	solve_range(lo, query(X, lo - 20000), query(X, lo + 20000), hi, query(X, hi - 20000), query(X, hi + 20000), a, b);
    the_lines_are(a, b);
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 200 KB Output is correct
2 Correct 1 ms 200 KB Output is correct
3 Correct 1 ms 200 KB Output is correct
4 Correct 1 ms 200 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 200 KB Output is correct
2 Correct 1 ms 276 KB Output is correct
3 Correct 1 ms 200 KB Output is correct
4 Correct 1 ms 200 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 200 KB Output is correct
2 Correct 2 ms 280 KB Output is correct
3 Correct 1 ms 200 KB Output is correct
4 Correct 1 ms 284 KB Output is correct

Subtask #4
18.9681287768 / 19.0

# Verdict Execution time Memory Grader output
1 Partially correct 10 ms 280 KB Output is partially correct
2 Partially correct 12 ms 200 KB Output is partially correct
3 Partially correct 9 ms 200 KB Output is partially correct
4 Partially correct 9 ms 200 KB Output is partially correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 200 KB Output is correct
2 Correct 4 ms 200 KB Output is correct
3 Correct 4 ms 200 KB Output is correct
4 Correct 4 ms 200 KB Output is correct

Subtask #6
26.9547093144 / 27.0

# Verdict Execution time Memory Grader output
1 Partially correct 10 ms 280 KB Output is partially correct
2 Partially correct 12 ms 200 KB Output is partially correct
3 Partially correct 9 ms 200 KB Output is partially correct
4 Partially correct 9 ms 200 KB Output is partially correct
5 Correct 5 ms 200 KB Output is correct
6 Correct 4 ms 200 KB Output is correct
7 Correct 4 ms 200 KB Output is correct
8 Correct 4 ms 200 KB Output is correct
9 Correct 11 ms 424 KB Output is correct
10 Correct 9 ms 200 KB Output is correct
11 Partially correct 12 ms 200 KB Output is partially correct
12 Correct 6 ms 280 KB Output is correct