| Task: | Spiraali |
| Sender: | mbezirgan |
| Submission time: | 2021-10-14 19:57:21 +0300 |
| Language: | C++ (C++17) |
| Status: | READY |
| Result: | 35 |
| group | verdict | score |
|---|---|---|
| #1 | ACCEPTED | 15 |
| #2 | ACCEPTED | 20 |
| #3 | WRONG ANSWER | 0 |
| test | verdict | time | group | |
|---|---|---|---|---|
| #1 | ACCEPTED | 0.01 s | 1 | details |
| #2 | ACCEPTED | 0.01 s | 2 | details |
| #3 | WRONG ANSWER | 0.01 s | 3 | details |
Code
#include <iostream>
#include <cmath>
struct ULong2
{
uint64_t x, y;
};
uint64_t GetSpiralValue(uint64_t size, const ULong2& pos)
{
// Distance form center for each axis
ULong2 distance =
{
pos.x >= size / 2 ? pos.x - size / 2 : size / 2 - pos.x - 1,
pos.y >= size / 2 ? pos.y - size / 2 : size / 2 - pos.y - 1
};
// Maximum distance from the center tells witch ring it is.
// Maybe can be optimized, but no.
uint64_t ringFromCenter = std::max(distance.x, distance.y);
uint64_t ringInToCenter = (ringFromCenter <= size / 2 ? size / 2 - ringFromCenter : (size / 2 + 1) - ringFromCenter) - 1;
// Can be optimized as its a linear sum (I think).
uint64_t ringStartPoint = 1 + size * size - std::pow(2 * ringFromCenter + 2, 2);
ULong2 RelativePos =
{
pos.x - ringInToCenter,
pos.y - ringInToCenter,
};
if (RelativePos.x == 0 && RelativePos.y == 0)
return ringStartPoint;
if (RelativePos.x == 0)
return ringStartPoint + RelativePos.y;
if (RelativePos.y == 2 * ringFromCenter + 1)
return ringStartPoint + RelativePos.x + 2 * ringFromCenter + 1;
if (RelativePos.x == 2 * ringFromCenter + 1)
return ringStartPoint - RelativePos.y + 2*(2 * ringFromCenter + 2) + (2 * ringFromCenter) - 1;
if (RelativePos.y == 0)
return ringStartPoint - RelativePos.x + 2 * (2 * ringFromCenter + 2) + 2 * (2 * ringFromCenter);
return 0;
}
int main()
{
int n, t;
std::cin >> n;
std::cin >> t;
ULong2* positions = new ULong2[t];
for (int i = 0; i < t; i++)
{
uint64_t x, y;
std::cin >> x;
std::cin >> y;
positions[i] = { y - 1, x - 1 };
}
for (int i = 0; i < t; i++)
{
auto& pos = positions[i];
std::cout << GetSpiralValue(n, pos) << "\n";
}
delete[] positions;
//for (int y = 0; y < n; y++)
//{
// for (int x = 0; x < n; x++)
// {
// std::cout << GetSpiralValue(n, { (uint64_t)x, (uint64_t)y }) << " ";
// }
// std::cout << "\n";
//}
}Test details
Test 1
Group: 1
Verdict: ACCEPTED
| input |
|---|
| 10 100 1 1 1 2 1 3 1 4 ... |
| correct output |
|---|
| 1 36 35 34 33 ... |
| user output |
|---|
| 1 36 35 34 33 ... Truncated |
Test 2
Group: 2
Verdict: ACCEPTED
| input |
|---|
| 1000 1000 371 263 915 322 946 880 53 738 ... |
| correct output |
|---|
| 773533 312166 206053 200080 593922 ... |
| user output |
|---|
| 773533 312166 206053 200080 593922 ... Truncated |
Test 3
Group: 3
Verdict: WRONG ANSWER
| input |
|---|
| 1000000000 1000 177757853 827347032 409613589 419171337 739269360 256524697 328695530 896842209 ... |
| correct output |
|---|
| 571375684522141210 967321186816598569 762879105851175000 370065046779516790 936897883750373771 ... |
| user output |
|---|
| 571375684522141209 967321186816598632 762879105851174999 370065046779516793 93689788375037 ... Truncated |
