Task: | Spiraali |
Sender: | mbezirgan |
Submission time: | 2021-10-14 19:58:05 +0300 |
Language: | C++ (C++17) |
Status: | READY |
Result: | 100 |
group | verdict | score |
---|---|---|
#1 | ACCEPTED | 15 |
#2 | ACCEPTED | 20 |
#3 | ACCEPTED | 65 |
test | verdict | time | group | |
---|---|---|---|---|
#1 | ACCEPTED | 0.01 s | 1 | details |
#2 | ACCEPTED | 0.01 s | 2 | details |
#3 | ACCEPTED | 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 - (2 * ringFromCenter + 2)*(2 * ringFromCenter + 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: ACCEPTED
input |
---|
1000000000 1000 177757853 827347032 409613589 419171337 739269360 256524697 328695530 896842209 ... |
correct output |
---|
571375684522141210 967321186816598569 762879105851175000 370065046779516790 936897883750373771 ... |
user output |
---|
571375684522141210 967321186816598569 762879105851175000 370065046779516790 93689788375037 ... Truncated |