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답안 #252911

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
252911 2020-07-26T12:38:09 Z user202729 원 고르기 (APIO18_circle_selection) C++17
100 / 100
 2366 ms 111768 KB 
// scanf/printf.
#ifndef LOCAL
#define NDEBUG 1
#endif
#include<bits/stdc++.h>

#pragma GCC optimize("O3")

auto const callRange=[](auto& object, int first, int last, auto function){
	auto iterator=object.lower_bound(first);
	while(iterator!=object.end() and iterator->first<last){
		function(iterator->second);
		++iterator;
	}
};

int main(){
	using Index=int; // for circles
	struct Circle{
		int x, y, r;
		bool intersect(Circle other) const{
			assert(r>0); assert(other.r>0);
			return int64_t(x-other.x)*(x-other.x)+int64_t(y-other.y)*(y-other.y)<=
				int64_t(r+other.r)*(r+other.r);
		}
	};
	int number; std::scanf("%d",&number);
	std::vector<Circle> circles(number);
	for(auto& [x, y, r]: circles){
		std::scanf("%d%d%d",&x,&y,&r);
		x+=1000000000; y+=1000000000;
		assert(x>=0 and y>=0);
	}

	struct A{
		Index index; int r;
		bool operator<(A other) const{
			return r!=other.r ? r<other.r: index>other.index;
		}
	};
	std::priority_queue<A> q;
	for(Index index=0; index<number; ++index)
		q.push({index, circles[index].r});


	std::vector<int> result(number);
	assert((result.assign(number, -1), true));

	struct Cell{
		std::vector<Index> indices;
		std::array<std::array<Cell*, 3>, 3> adjacent; // the numbering scheme is obvious. Note that [1][1] is always *this.
		std::array<std::array<Cell*, 2>, 2> children;
	};
	std::deque<Cell> grid;
	grid.resize(1);
	for(Index index=0; index<number; ++index)
		grid[0].indices.push_back(index);
	grid[0].adjacent[1][1]=&grid[0];

	std::vector<Cell*> contain(number, &grid[0]);

	for(int step=30; step>1;--step){
		auto oldGrid=std::move(grid);
		grid.clear();

		// construct all cells and children link of old layer & new contain array
		for(auto& cell: oldGrid){
			std::array<std::array<Cell, 2>, 2> children{};
			for(Index index: cell.indices){
				auto const [x, y, r]=circles[index];
				assert(r>0);
				children[x>>step&1][y>>step&1].indices.push_back(index);
			}

			for(int c=0; c<2; ++c)
				for(int d=0; d<2; ++d)
					if(not children[c][d].indices.empty()){
						grid.push_back(std::move(children[c][d]));
						auto const cur=&grid.back();
						cell.children[c][d]=cur;
						for(Index index: cur->indices) contain[index]=cur;
					}
		}

		// construct adjacent link of new layer
		for(auto& cell: oldGrid){
			std::array<std::array<Cell*, 4>, 4> data{};
			for(int c=0; c<3; ++c)
			for(int d=0; d<3; ++d){
				Cell* cur=(c==1 and d==1 ? &cell: cell.adjacent[c][d]);
				if(not cur) continue;
				for(int e=0; e<2; ++e)
				for(int f=0; f<2; ++f){
					unsigned const g=c*2+e-1, h=d*2+f-1;
					if(g<4 and h<4) data[g][h]=cur->children[e][f];
				}
			}

			for(int e=0; e<2; ++e)
			for(int f=0; f<2; ++f){
				Cell* cur=cell.children[e][f];
				if(not cur) continue;
				for(int c=0; c<3; ++c)
				for(int d=0; d<3; ++d){
					cur->adjacent[c][d]=data[c+e][d+f];
				}
			}
		}
					
		while(true){
			if(q.empty())
				goto break_outer;

			auto [index, r_]=q.top();
			auto const cur=circles[index]; auto const [x, y, r]=cur;
			if(r==0) {
				q.pop();
				continue;
			}
			assert(r==r_);
			if(r<((1<<step)>>2))
				break; // goto next step -- without popping from q

			q.pop();
			circles[index].r=0;

			assert(result[index]==-1); result[index]=index;
			auto const curCell=contain[index];
			assert(std::any_of(begin(grid), end(grid), [&](auto const& it){ return &it==curCell; }));

			assert(curCell->adjacent[1][1]==curCell);
			
			auto const process=[&](Cell* cell){
				if(not cell) return;
				cell->indices.erase(std::remove_if(begin(cell->indices), end(cell->indices), [&](Index index1){
					if(index1==index){
						return true;
					}

					auto& cur1=circles[index1];
					assert(cur1.r>0);
					if(cur1.intersect(cur)){
						assert(result[index1]==-1);
						result[index1]=index;
						cur1.r=0;
						return true;
					} else return false;
				}),cell->indices.end());
			};
			for(int c=0; c<3; ++c)
			for(int d=0; d<3; ++d)
				process(curCell->adjacent[c][d]);
		}
	}
break_outer:

	for(Index index=0; index<number; ++index){
		auto const [x, y, r]=circles[index];
		assert(result[index]!=-1);
		assert(r==0);
	}

	for(auto it: result) std::printf("%d ",it+1);
	std::printf("\n");
}

Compilation message

circle_selection.cpp: In function 'int main()':
circle_selection.cpp:70:24: warning: unused variable 'r' [-Wunused-variable]
     auto const [x, y, r]=circles[index];
                        ^
circle_selection.cpp:114:19: warning: unused variable 'r_' [-Wunused-variable]
    auto [index, r_]=q.top();
                   ^
circle_selection.cpp:115:54: warning: unused variable 'x' [-Wunused-variable]
    auto const cur=circles[index]; auto const [x, y, r]=cur;
                                                      ^
circle_selection.cpp:115:54: warning: unused variable 'y' [-Wunused-variable]
circle_selection.cpp:158:22: warning: unused variable 'x' [-Wunused-variable]
   auto const [x, y, r]=circles[index];
                      ^
circle_selection.cpp:158:22: warning: unused variable 'y' [-Wunused-variable]
circle_selection.cpp:158:22: warning: unused variable 'r' [-Wunused-variable]
circle_selection.cpp:27:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  int number; std::scanf("%d",&number);
              ~~~~~~~~~~^~~~~~~~~~~~~~
circle_selection.cpp:30:13: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   std::scanf("%d%d%d",&x,&y,&r);
   ~~~~~~~~~~^~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 4 ms 768 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 760 KB Output is correct
22 Correct 14 ms 2304 KB Output is correct
23 Correct 14 ms 2176 KB Output is correct
24 Correct 15 ms 2304 KB Output is correct
25 Correct 17 ms 2176 KB Output is correct
26 Correct 14 ms 2304 KB Output is correct

Subtask #2
12.0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 239 ms 15020 KB Output is correct
2 Correct 266 ms 14820 KB Output is correct
3 Correct 245 ms 18656 KB Output is correct
4 Correct 271 ms 15332 KB Output is correct
5 Correct 436 ms 16932 KB Output is correct
6 Correct 572 ms 30180 KB Output is correct
7 Correct 417 ms 17780 KB Output is correct
8 Correct 472 ms 18556 KB Output is correct

Subtask #3
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 325 ms 36204 KB Output is correct
3 Correct 1255 ms 108768 KB Output is correct
4 Correct 1219 ms 108260 KB Output is correct
5 Correct 880 ms 74224 KB Output is correct
6 Correct 378 ms 36840 KB Output is correct
7 Correct 186 ms 20844 KB Output is correct
8 Correct 37 ms 4848 KB Output is correct
9 Correct 1042 ms 99484 KB Output is correct
10 Correct 788 ms 62180 KB Output is correct

Subtask #4
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1190 ms 111768 KB Output is correct
2 Correct 2366 ms 111616 KB Output is correct
3 Correct 341 ms 18272 KB Output is correct
4 Correct 1554 ms 111264 KB Output is correct
5 Correct 1559 ms 111248 KB Output is correct
6 Correct 310 ms 15820 KB Output is correct

Subtask #5
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 4 ms 768 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 760 KB Output is correct
22 Correct 14 ms 2304 KB Output is correct
23 Correct 14 ms 2176 KB Output is correct
24 Correct 15 ms 2304 KB Output is correct
25 Correct 17 ms 2176 KB Output is correct
26 Correct 14 ms 2304 KB Output is correct
27 Correct 8 ms 1152 KB Output is correct
28 Correct 8 ms 1152 KB Output is correct
29 Correct 8 ms 1152 KB Output is correct
30 Correct 34 ms 4216 KB Output is correct
31 Correct 27 ms 4224 KB Output is correct
32 Correct 28 ms 4216 KB Output is correct
33 Correct 80 ms 7268 KB Output is correct
34 Correct 85 ms 7284 KB Output is correct
35 Correct 83 ms 6636 KB Output is correct
36 Correct 371 ms 37724 KB Output is correct
37 Correct 402 ms 38152 KB Output is correct
38 Correct 321 ms 37840 KB Output is correct
39 Correct 152 ms 9572 KB Output is correct
40 Correct 154 ms 9556 KB Output is correct
41 Correct 152 ms 9552 KB Output is correct
42 Correct 110 ms 9068 KB Output is correct
43 Correct 267 ms 36204 KB Output is correct
44 Correct 261 ms 36204 KB Output is correct
45 Correct 266 ms 36204 KB Output is correct
46 Correct 254 ms 36204 KB Output is correct
47 Correct 257 ms 36204 KB Output is correct
48 Correct 264 ms 36204 KB Output is correct
49 Correct 263 ms 36204 KB Output is correct
50 Correct 272 ms 36236 KB Output is correct

Subtask #6
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 256 KB Output is correct
9 Correct 1 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 2 ms 512 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 4 ms 768 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 760 KB Output is correct
22 Correct 14 ms 2304 KB Output is correct
23 Correct 14 ms 2176 KB Output is correct
24 Correct 15 ms 2304 KB Output is correct
25 Correct 17 ms 2176 KB Output is correct
26 Correct 14 ms 2304 KB Output is correct
27 Correct 239 ms 15020 KB Output is correct
28 Correct 266 ms 14820 KB Output is correct
29 Correct 245 ms 18656 KB Output is correct
30 Correct 271 ms 15332 KB Output is correct
31 Correct 436 ms 16932 KB Output is correct
32 Correct 572 ms 30180 KB Output is correct
33 Correct 417 ms 17780 KB Output is correct
34 Correct 472 ms 18556 KB Output is correct
35 Correct 0 ms 256 KB Output is correct
36 Correct 325 ms 36204 KB Output is correct
37 Correct 1255 ms 108768 KB Output is correct
38 Correct 1219 ms 108260 KB Output is correct
39 Correct 880 ms 74224 KB Output is correct
40 Correct 378 ms 36840 KB Output is correct
41 Correct 186 ms 20844 KB Output is correct
42 Correct 37 ms 4848 KB Output is correct
43 Correct 1042 ms 99484 KB Output is correct
44 Correct 788 ms 62180 KB Output is correct
45 Correct 1190 ms 111768 KB Output is correct
46 Correct 2366 ms 111616 KB Output is correct
47 Correct 341 ms 18272 KB Output is correct
48 Correct 1554 ms 111264 KB Output is correct
49 Correct 1559 ms 111248 KB Output is correct
50 Correct 310 ms 15820 KB Output is correct
51 Correct 8 ms 1152 KB Output is correct
52 Correct 8 ms 1152 KB Output is correct
53 Correct 8 ms 1152 KB Output is correct
54 Correct 34 ms 4216 KB Output is correct
55 Correct 27 ms 4224 KB Output is correct
56 Correct 28 ms 4216 KB Output is correct
57 Correct 80 ms 7268 KB Output is correct
58 Correct 85 ms 7284 KB Output is correct
59 Correct 83 ms 6636 KB Output is correct
60 Correct 371 ms 37724 KB Output is correct
61 Correct 402 ms 38152 KB Output is correct
62 Correct 321 ms 37840 KB Output is correct
63 Correct 152 ms 9572 KB Output is correct
64 Correct 154 ms 9556 KB Output is correct
65 Correct 152 ms 9552 KB Output is correct
66 Correct 110 ms 9068 KB Output is correct
67 Correct 267 ms 36204 KB Output is correct
68 Correct 261 ms 36204 KB Output is correct
69 Correct 266 ms 36204 KB Output is correct
70 Correct 254 ms 36204 KB Output is correct
71 Correct 257 ms 36204 KB Output is correct
72 Correct 264 ms 36204 KB Output is correct
73 Correct 263 ms 36204 KB Output is correct
74 Correct 272 ms 36236 KB Output is correct
75 Correct 263 ms 15712 KB Output is correct
76 Correct 271 ms 15844 KB Output is correct
77 Correct 279 ms 16508 KB Output is correct
78 Correct 252 ms 17504 KB Output is correct
79 Correct 315 ms 16228 KB Output is correct
80 Correct 256 ms 17504 KB Output is correct
81 Correct 1236 ms 108720 KB Output is correct
82 Correct 1244 ms 108200 KB Output is correct
83 Correct 1203 ms 108972 KB Output is correct
84 Correct 1080 ms 106180 KB Output is correct
85 Correct 1246 ms 108512 KB Output is correct
86 Correct 1180 ms 108524 KB Output is correct
87 Correct 1040 ms 98372 KB Output is correct
88 Correct 550 ms 26436 KB Output is correct
89 Correct 563 ms 26296 KB Output is correct
90 Correct 550 ms 26336 KB Output is correct
91 Correct 555 ms 26272 KB Output is correct
92 Correct 551 ms 26336 KB Output is correct
93 Correct 1285 ms 107852 KB Output is correct
94 Correct 1272 ms 105952 KB Output is correct
95 Correct 1326 ms 108000 KB Output is correct
96 Correct 1173 ms 105332 KB Output is correct
97 Correct 1696 ms 109280 KB Output is correct
98 Correct 674 ms 30944 KB Output is correct
99 Correct 1294 ms 107360 KB Output is correct
100 Correct 1580 ms 110996 KB Output is correct
101 Correct 658 ms 39644 KB Output is correct
102 Correct 1153 ms 94972 KB Output is correct
103 Correct 1072 ms 95060 KB Output is correct
104 Correct 1396 ms 108820 KB Output is correct
105 Correct 435 ms 23660 KB Output is correct
106 Correct 888 ms 91488 KB Output is correct
107 Correct 858 ms 91744 KB Output is correct
108 Correct 874 ms 91512 KB Output is correct
109 Correct 934 ms 91756 KB Output is correct
110 Correct 888 ms 91584 KB Output is correct
111 Correct 985 ms 91552 KB Output is correct
112 Correct 850 ms 91472 KB Output is correct
113 Correct 856 ms 91488 KB Output is correct
114 Correct 860 ms 91448 KB Output is correct
115 Correct 849 ms 91488 KB Output is correct
116 Correct 909 ms 91744 KB Output is correct