oj.uz

Submission #304383

# Submission time Handle Problem Language Result Execution time Memory
304383 2020-09-21T08:32:51 Z myungwoo Comparing Plants (IOI20_plants) C++17
100 / 100
 1382 ms 43444 KB 
#include <bits/stdc++.h>
#include "plants.h"
using namespace std;

#define MAXN 200005
#define debug(...) fprintf(stderr, __VA_ARGS__); fflush(stderr);
typedef pair<int, int> pii;

int N, K, R[MAXN];
int H[MAXN], _right[MAXN][18], _left[MAXN][18];

template <typename T>
struct SegTree{
	int n_bits, TS, ST;
	int range_l(int x){ return ((x<<(__builtin_clz(x)-31+n_bits)) ^ (1<<n_bits)) + 1; }
	int range_r(int x){ return ((x<<(__builtin_clz(x)-31+n_bits) ^ ((1<<(__builtin_clz(x)-31+n_bits))-1)) ^ (1<<n_bits)) + 1; }
	struct Value{
		T value, lazysum;
	};
	vector<Value> tree;
	SegTree(int arr[]){
		n_bits = 32-__builtin_clz(N-1);
		TS = 1 << n_bits+1; ST = TS/2-1;
		tree.resize(TS, {0, 0});
		for (int i=ST+1;i<TS;i++) tree[i].value = i-ST <= N ? arr[i-ST] : 1e9;
		for (int i=ST;i;i--) tree[i].value = min(tree[i*2].value, tree[i*2+1].value);
	}
	void propagate(int n){
		if (n <= ST){
			tree[n*2].value += tree[n].lazysum, tree[n*2+1].value += tree[n].lazysum;
			tree[n*2].lazysum += tree[n].lazysum, tree[n*2+1].lazysum += tree[n].lazysum;
		}
		tree[n].lazysum = 0;
	}
	void update(int n, int l, int r, const int &v){
		int s = range_l(n), e = range_r(n);
		if (l > r || e < l || r < s) return;
		if (l <= s && e <= r){
			tree[n].value += v, tree[n].lazysum += v;
			return;
		}
		propagate(n);
		update(n*2, l, r, v);
		update(n*2+1, l, r, v);
		tree[n].value = min(tree[n*2].value, tree[n*2+1].value);
	}
	int findzero(int n){
		if (tree[n].value != 0) return 0;
		propagate(n);
		if (n > ST) return n-ST;
		if (!tree[n*2].value) return findzero(n*2);
		else if (!tree[n*2+1].value) return findzero(n*2+1);
		else assert(0);
	}
};

struct ZeroContainer{
	set<int> pos, non_covered;
	set<int>::iterator _left(set<int>::iterator it){
		auto ret = it;
		if (ret == pos.begin()) ret = pos.end();
		return --ret;
	}
	set<int>::iterator _right(set<int>::iterator it){
		auto ret = it; ret++;
		if (ret == pos.end()) return pos.begin();
		return ret;
	}
	void insert(int p){
		auto it = pos.insert(p).first;
		auto l = _left(it), r = _right(it);
		if (l == it || (*it-*l+N)%N >= K) non_covered.insert(p);
		if (r != it && (*r-*it+N)%N < K) non_covered.erase(*r);
	}
	void remove(int p){
		auto it = pos.find(p);
		auto l = _left(it), r = _right(it);
		if (l != it && r != it && (l == r || (*r-*l+N)%N >= K)) non_covered.insert(*r);
		pos.erase(it);
	}
	int pop_smallest(){
		int ret = *non_covered.begin(); non_covered.erase(ret);
		remove(ret);
		return ret;
	}
};

int go_left(int n, int d)
{
	n -= d%N;
	if (n < 1) n += N;
	return n;
}

int go_right(int n, int d)
{
	n += d%N;
	if (n > N) n -= N;
	return n;
}

void init(int K, vector<int> r)
{
	::K = K;
	N = r.size();
	for (int i=1;i<=N;i++) R[i] = r[i-1];

	{
		SegTree<int> segtree(R);
		ZeroContainer zc;
		for (int ord=N;ord;ord--){
			for (;;){
				int p = segtree.findzero(1);
				if (!p) break;
				zc.insert(p);
				segtree.update(1, p, p, 1e9);
			}
			int x = zc.pop_smallest();
			H[x] = ord;
			segtree.update(1, max(1, x-K+1), x-1, -1);
			if (x-K+1 < 1) segtree.update(1, N-(1-(x-K+1))+1, N, -1);
		}
	}

	{
		set <pii> s;
		for (int i=1;i<=K;i++) s.insert({H[i], i});
		for (int i=1;i<=N;i++){
			auto it = s.lower_bound({H[i], 0});
			if (it != s.begin()){
				it--;
				_right[i][0] = (it->second - i + N) % N;
			}
			int t = (i+K-1)%N+1;
			s.insert({H[t], t});
			s.erase({H[i], i});
		}
	}
	{
		set <pii> s;
		for (int i=1;i<K;i++) s.insert({H[i], i});
		for (int i=1;i<=N;i++){
			int t = (i+K-2)%N+1;
			auto it = s.lower_bound({H[t], 0});
			if (it != s.begin()){
				it--;
				_left[t][0] = (t - it->second + N) % N;
			}
			s.insert({H[t], t});
			s.erase({H[i], i});
		}
	}
	// for (int i=1;i<=N;i++) debug("%d: %d %d\n", i, _right[i][0], _left[i][0]);
	for (int i=0;i+1<18;i++) for (int j=1;j<=N;j++){
		_left[j][i+1] = min(N+10, _left[go_left(j, _left[j][i])][i] + _left[j][i]);
		_right[j][i+1] = min(N+10, _right[go_right(j, _right[j][i])][i] + _right[j][i]);
	}
}

bool has_left_path(int a, int b)
{
	int d = (a-b+N)%N;
	for (int i=18;i--;) if (d >= _left[a][i]){
		d -= _left[a][i];
		a = go_left(a, _left[a][i]);
	}
	return (a-b+N)%N < K && H[a] >= H[b];
}

bool has_right_path(int a, int b)
{
	int d = (b-a+N)%N;
	for (int i=18;i--;) if (d >= _right[a][i]){
		d -= _right[a][i];
		a = go_right(a, _right[a][i]);
	}
	return (b-a+N)%N < K && H[a] >= H[b];
}

int compare_plants(int a, int b)
{
	a++; b++;
	if (has_left_path(a, b) || has_right_path(a, b)) return 1;
	if (has_left_path(b, a) || has_right_path(b, a)) return -1;
	return 0;
}

Compilation message

plants.cpp: In instantiation of 'SegTree<T>::SegTree(int*) [with T = int]':
plants.cpp:109:25:   required from here
plants.cpp:23:19: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
   23 |   TS = 1 << n_bits+1; ST = TS/2-1;
      |             ~~~~~~^~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 179 ms 3192 KB Output is correct
7 Correct 226 ms 6772 KB Output is correct
8 Correct 613 ms 39148 KB Output is correct
9 Correct 626 ms 38584 KB Output is correct
10 Correct 645 ms 38612 KB Output is correct
11 Correct 672 ms 39096 KB Output is correct
12 Correct 658 ms 38892 KB Output is correct
13 Correct 686 ms 43372 KB Output is correct
14 Correct 703 ms 34028 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 5 ms 640 KB Output is correct
7 Correct 104 ms 4212 KB Output is correct
8 Correct 3 ms 384 KB Output is correct
9 Correct 5 ms 640 KB Output is correct
10 Correct 111 ms 4212 KB Output is correct
11 Correct 144 ms 3952 KB Output is correct
12 Correct 180 ms 4212 KB Output is correct
13 Correct 102 ms 4212 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 5 ms 640 KB Output is correct
7 Correct 104 ms 4212 KB Output is correct
8 Correct 3 ms 384 KB Output is correct
9 Correct 5 ms 640 KB Output is correct
10 Correct 111 ms 4212 KB Output is correct
11 Correct 144 ms 3952 KB Output is correct
12 Correct 180 ms 4212 KB Output is correct
13 Correct 102 ms 4212 KB Output is correct
14 Correct 164 ms 6772 KB Output is correct
15 Correct 1254 ms 39844 KB Output is correct
16 Correct 164 ms 6900 KB Output is correct
17 Correct 1382 ms 39788 KB Output is correct
18 Correct 868 ms 38636 KB Output is correct
19 Correct 948 ms 38636 KB Output is correct
20 Correct 1220 ms 43376 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 148 ms 3576 KB Output is correct
4 Correct 799 ms 37064 KB Output is correct
5 Correct 886 ms 34668 KB Output is correct
6 Correct 933 ms 34028 KB Output is correct
7 Correct 991 ms 34540 KB Output is correct
8 Correct 1298 ms 38252 KB Output is correct
9 Correct 810 ms 36320 KB Output is correct
10 Correct 819 ms 34876 KB Output is correct
11 Correct 682 ms 43444 KB Output is correct
12 Correct 712 ms 34092 KB Output is correct
13 Correct 856 ms 40556 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 41 ms 1016 KB Output is correct
8 Correct 21 ms 1024 KB Output is correct
9 Correct 32 ms 1016 KB Output is correct
10 Correct 21 ms 1024 KB Output is correct
11 Correct 39 ms 1016 KB Output is correct
12 Correct 34 ms 1016 KB Output is correct
13 Correct 19 ms 1024 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 3 ms 512 KB Output is correct
6 Correct 733 ms 34156 KB Output is correct
7 Correct 796 ms 34156 KB Output is correct
8 Correct 794 ms 34540 KB Output is correct
9 Correct 1077 ms 38508 KB Output is correct
10 Correct 741 ms 36332 KB Output is correct
11 Correct 843 ms 37704 KB Output is correct
12 Correct 674 ms 37100 KB Output is correct
13 Correct 776 ms 34668 KB Output is correct
14 Correct 750 ms 34036 KB Output is correct
15 Correct 852 ms 34540 KB Output is correct
16 Correct 654 ms 35596 KB Output is correct
17 Correct 706 ms 34412 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 179 ms 3192 KB Output is correct
7 Correct 226 ms 6772 KB Output is correct
8 Correct 613 ms 39148 KB Output is correct
9 Correct 626 ms 38584 KB Output is correct
10 Correct 645 ms 38612 KB Output is correct
11 Correct 672 ms 39096 KB Output is correct
12 Correct 658 ms 38892 KB Output is correct
13 Correct 686 ms 43372 KB Output is correct
14 Correct 703 ms 34028 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 5 ms 640 KB Output is correct
21 Correct 104 ms 4212 KB Output is correct
22 Correct 3 ms 384 KB Output is correct
23 Correct 5 ms 640 KB Output is correct
24 Correct 111 ms 4212 KB Output is correct
25 Correct 144 ms 3952 KB Output is correct
26 Correct 180 ms 4212 KB Output is correct
27 Correct 102 ms 4212 KB Output is correct
28 Correct 164 ms 6772 KB Output is correct
29 Correct 1254 ms 39844 KB Output is correct
30 Correct 164 ms 6900 KB Output is correct
31 Correct 1382 ms 39788 KB Output is correct
32 Correct 868 ms 38636 KB Output is correct
33 Correct 948 ms 38636 KB Output is correct
34 Correct 1220 ms 43376 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 148 ms 3576 KB Output is correct
38 Correct 799 ms 37064 KB Output is correct
39 Correct 886 ms 34668 KB Output is correct
40 Correct 933 ms 34028 KB Output is correct
41 Correct 991 ms 34540 KB Output is correct
42 Correct 1298 ms 38252 KB Output is correct
43 Correct 810 ms 36320 KB Output is correct
44 Correct 819 ms 34876 KB Output is correct
45 Correct 682 ms 43444 KB Output is correct
46 Correct 712 ms 34092 KB Output is correct
47 Correct 856 ms 40556 KB Output is correct
48 Correct 1 ms 384 KB Output is correct
49 Correct 0 ms 384 KB Output is correct
50 Correct 0 ms 384 KB Output is correct
51 Correct 1 ms 384 KB Output is correct
52 Correct 1 ms 384 KB Output is correct
53 Correct 5 ms 384 KB Output is correct
54 Correct 41 ms 1016 KB Output is correct
55 Correct 21 ms 1024 KB Output is correct
56 Correct 32 ms 1016 KB Output is correct
57 Correct 21 ms 1024 KB Output is correct
58 Correct 39 ms 1016 KB Output is correct
59 Correct 34 ms 1016 KB Output is correct
60 Correct 19 ms 1024 KB Output is correct
61 Correct 197 ms 3704 KB Output is correct
62 Correct 252 ms 6388 KB Output is correct
63 Correct 765 ms 35524 KB Output is correct
64 Correct 804 ms 34092 KB Output is correct
65 Correct 907 ms 34136 KB Output is correct
66 Correct 940 ms 34540 KB Output is correct
67 Correct 1196 ms 38256 KB Output is correct
68 Correct 810 ms 36332 KB Output is correct
69 Correct 952 ms 37840 KB Output is correct
70 Correct 797 ms 37228 KB Output is correct
71 Correct 904 ms 34740 KB Output is correct
72 Correct 925 ms 34108 KB Output is correct
73 Correct 935 ms 34540 KB Output is correct
74 Correct 760 ms 34924 KB Output is correct
75 Correct 752 ms 34216 KB Output is correct