Submission #430570

# Submission time Handle Problem Language Result Execution time Memory
430570 2021-06-16T16:06:31 Z nvmdava Comparing Plants (IOI20_plants) C++17
100 / 100
1460 ms 56688 KB
#include "plants.h"
#include <bits/stdc++.h>
#define ff first
#define ss second
using namespace std;
int n;

struct Segtree{
	pair<int, int> mn[800005];
	int lz[800005];
	void push(int id, int l, int r){
		mn[id].ff += lz[id];
		if(l != r){
			lz[id << 1] += lz[id];
			lz[id << 1 | 1] += lz[id];
		}
		lz[id] = 0;
	}

	void build(int id, int l, int r, vector<int>& v){
		if(l == r){
			mn[id] = {v[l], l};
			return;
		}
		int m = (l + r) >> 1;
		build(id << 1, l, m, v);
		build(id << 1 | 1, m + 1, r, v);

		mn[id] = min(mn[id << 1], mn[id << 1 | 1]);
	}

	void update(int id, int l, int r, int L, int R, int x){
		if(L <= l && r <= R){
			lz[id] += x;
			push(id, l, r);
			return;
		}
		push(id, l, r);
		if(l > R || r < L) return;
		int m = (l + r) >> 1;
		update(id << 1, l, m, L, R, x);
		update(id << 1 | 1, m + 1, r, L, R, x);
		mn[id] = min(mn[id << 1], mn[id << 1 | 1]);
	}

	pair<int, int> query(int id, int l, int r, int L, int R){
		push(id, l, r);
		if(l > R || r < L)
			return {1'000'000, 1};
		if(L <= l && r <= R)
			return mn[id];
		int m = (l + r) >> 1;
		return min(query(id << 1, l, m, L, R), query(id << 1 | 1, m + 1, r, L, R));
	}
} s, t;

int le[200005][20], ri[200005][20];
vector<int> q;
int h[200005];

bool cw(int x, int y, int z){
	if(x <= y && y <= z)
		return 1;
	if(y <= z && z <= x)
		return 1;
	if(z <= x && x <= y)
		return 1;
	return 0;
}

int k;

void init(int k, std::vector<int> v) {
	n = v.size();
	--k;
	::k = k;
	for(auto& x : v)
		x = k - x;
	s.build(1, 0, n - 1, v);
	
	for(auto& x : v)
		x = 0;
	t.build(1, 0, n - 1, v);
	for(int i = 0; i < n; ++i)
		for(int j = 0; j < 20; ++j)
			ri[i][j] = le[i][j] = -1;
	for(int i = 1; i <= n; ++i){
		int now;
		if(q.empty())
			now = s.query(1, 0, n - 1, 0, n - 1).ss;
		else {
			now = q.back();
			q.pop_back();
		}

		pair<int, int> tmp = min(s.query(1, 0, n - 1, now - k, now - 1), s.query(1, 0, n - 1, now - k + n, n - 1));
		
		while(tmp.ff == 0){
			q.push_back(now);
			now = tmp.ss;
			tmp = min(s.query(1, 0, n - 1, now - k, now - 1), s.query(1, 0, n - 1, now - k + n, n - 1));
		}
		
		s.update(1, 0, n - 1, now, now, 800'005);
		s.update(1, 0, n - 1, now - k, now - 1, -1);
		s.update(1, 0, n - 1, now - k + n, n - 1, -1);
		
		h[now] = i;
		
		tmp = min(t.query(1, 0, n - 1, now - k, now - 1), t.query(1, 0, n - 1, now - k + n, n - 1));
		le[now][0] = tmp.ff == 0 ? -1 : tmp.ss;

		tmp = min(t.query(1, 0, n - 1, now + 1, now + k), t.query(1, 0, n - 1, 0, now + k - n));
		ri[now][0] = tmp.ff == 0 ? -1 : tmp.ss;
		for(int i = 0; le[now][i] != -1; ++i){
			le[now][i + 1] = le[le[now][i]][i];
			if(le[now][i + 1] != -1 && cw(le[now][i], le[now][i + 1], now))
				le[now][i + 1] = -1;
		}

		for(int i = 0; ri[now][i] != -1; ++i){
			ri[now][i + 1] = ri[ri[now][i]][i];
			if(ri[now][i + 1] != -1 && cw(now, ri[now][i + 1], ri[now][i]))
				ri[now][i + 1] = -1;
		}
		
		t.update(1, 0, n - 1, now, now, -i);
	}

}

int compare_plants(int x, int y){
	if(h[x] > h[y]) return -compare_plants(y, x);
	int ry = y, ly = y;

	for(int i = 19; i >= 0; --i)
		if(ri[ry][i] != -1 && cw(ry, ri[ry][i], x) && x != ry)
			ry = ri[ry][i];

	if(min(abs(ry - x), n - abs(ry - x)) <= k && h[ry] >= h[x])
		return -1;

	for(int i = 19; i >= 0; --i)
		if(le[ly][i] != -1 && cw(x, le[ly][i], ly) && x != ly)
			ly = le[ly][i];

	if(min(abs(ly - x), n - abs(ly - x)) <= k && h[ly] >= h[x])
		return -1;

	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 8 ms 12748 KB Output is correct
2 Correct 9 ms 12748 KB Output is correct
3 Correct 8 ms 12748 KB Output is correct
4 Correct 6 ms 12736 KB Output is correct
5 Correct 6 ms 12748 KB Output is correct
6 Correct 75 ms 15588 KB Output is correct
7 Correct 142 ms 19508 KB Output is correct
8 Correct 656 ms 52860 KB Output is correct
9 Correct 686 ms 52876 KB Output is correct
10 Correct 647 ms 52864 KB Output is correct
11 Correct 732 ms 53052 KB Output is correct
12 Correct 752 ms 53288 KB Output is correct
13 Correct 808 ms 53040 KB Output is correct
14 Correct 800 ms 52952 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 12748 KB Output is correct
2 Correct 8 ms 12748 KB Output is correct
3 Correct 7 ms 12836 KB Output is correct
4 Correct 7 ms 12748 KB Output is correct
5 Correct 8 ms 12876 KB Output is correct
6 Correct 13 ms 13096 KB Output is correct
7 Correct 94 ms 16632 KB Output is correct
8 Correct 9 ms 12876 KB Output is correct
9 Correct 12 ms 13088 KB Output is correct
10 Correct 106 ms 16556 KB Output is correct
11 Correct 115 ms 16452 KB Output is correct
12 Correct 106 ms 16756 KB Output is correct
13 Correct 99 ms 16636 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 12748 KB Output is correct
2 Correct 8 ms 12748 KB Output is correct
3 Correct 7 ms 12836 KB Output is correct
4 Correct 7 ms 12748 KB Output is correct
5 Correct 8 ms 12876 KB Output is correct
6 Correct 13 ms 13096 KB Output is correct
7 Correct 94 ms 16632 KB Output is correct
8 Correct 9 ms 12876 KB Output is correct
9 Correct 12 ms 13088 KB Output is correct
10 Correct 106 ms 16556 KB Output is correct
11 Correct 115 ms 16452 KB Output is correct
12 Correct 106 ms 16756 KB Output is correct
13 Correct 99 ms 16636 KB Output is correct
14 Correct 169 ms 19468 KB Output is correct
15 Correct 1335 ms 52944 KB Output is correct
16 Correct 162 ms 19460 KB Output is correct
17 Correct 1396 ms 52936 KB Output is correct
18 Correct 1111 ms 52828 KB Output is correct
19 Correct 979 ms 52816 KB Output is correct
20 Correct 1187 ms 53060 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 12748 KB Output is correct
2 Correct 7 ms 12748 KB Output is correct
3 Correct 104 ms 15968 KB Output is correct
4 Correct 1047 ms 53164 KB Output is correct
5 Correct 994 ms 52984 KB Output is correct
6 Correct 1339 ms 56228 KB Output is correct
7 Correct 1394 ms 56384 KB Output is correct
8 Correct 1412 ms 56620 KB Output is correct
9 Correct 942 ms 55904 KB Output is correct
10 Correct 953 ms 55972 KB Output is correct
11 Correct 763 ms 55780 KB Output is correct
12 Correct 919 ms 55996 KB Output is correct
13 Correct 1016 ms 56172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 12748 KB Output is correct
2 Correct 8 ms 12820 KB Output is correct
3 Correct 10 ms 12876 KB Output is correct
4 Correct 8 ms 12748 KB Output is correct
5 Correct 8 ms 12748 KB Output is correct
6 Correct 10 ms 12876 KB Output is correct
7 Correct 28 ms 13444 KB Output is correct
8 Correct 24 ms 13448 KB Output is correct
9 Correct 27 ms 13764 KB Output is correct
10 Correct 25 ms 13756 KB Output is correct
11 Correct 25 ms 13804 KB Output is correct
12 Correct 27 ms 13760 KB Output is correct
13 Correct 24 ms 13776 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 12748 KB Output is correct
2 Correct 8 ms 12748 KB Output is correct
3 Correct 8 ms 12748 KB Output is correct
4 Correct 7 ms 12748 KB Output is correct
5 Correct 10 ms 13004 KB Output is correct
6 Correct 860 ms 52844 KB Output is correct
7 Correct 1284 ms 52940 KB Output is correct
8 Correct 1352 ms 52944 KB Output is correct
9 Correct 1327 ms 52948 KB Output is correct
10 Correct 886 ms 52932 KB Output is correct
11 Correct 1333 ms 53024 KB Output is correct
12 Correct 857 ms 53168 KB Output is correct
13 Correct 942 ms 52956 KB Output is correct
14 Correct 1219 ms 55352 KB Output is correct
15 Correct 1363 ms 55620 KB Output is correct
16 Correct 872 ms 54984 KB Output is correct
17 Correct 845 ms 55196 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 12748 KB Output is correct
2 Correct 9 ms 12748 KB Output is correct
3 Correct 8 ms 12748 KB Output is correct
4 Correct 6 ms 12736 KB Output is correct
5 Correct 6 ms 12748 KB Output is correct
6 Correct 75 ms 15588 KB Output is correct
7 Correct 142 ms 19508 KB Output is correct
8 Correct 656 ms 52860 KB Output is correct
9 Correct 686 ms 52876 KB Output is correct
10 Correct 647 ms 52864 KB Output is correct
11 Correct 732 ms 53052 KB Output is correct
12 Correct 752 ms 53288 KB Output is correct
13 Correct 808 ms 53040 KB Output is correct
14 Correct 800 ms 52952 KB Output is correct
15 Correct 8 ms 12748 KB Output is correct
16 Correct 8 ms 12748 KB Output is correct
17 Correct 7 ms 12836 KB Output is correct
18 Correct 7 ms 12748 KB Output is correct
19 Correct 8 ms 12876 KB Output is correct
20 Correct 13 ms 13096 KB Output is correct
21 Correct 94 ms 16632 KB Output is correct
22 Correct 9 ms 12876 KB Output is correct
23 Correct 12 ms 13088 KB Output is correct
24 Correct 106 ms 16556 KB Output is correct
25 Correct 115 ms 16452 KB Output is correct
26 Correct 106 ms 16756 KB Output is correct
27 Correct 99 ms 16636 KB Output is correct
28 Correct 169 ms 19468 KB Output is correct
29 Correct 1335 ms 52944 KB Output is correct
30 Correct 162 ms 19460 KB Output is correct
31 Correct 1396 ms 52936 KB Output is correct
32 Correct 1111 ms 52828 KB Output is correct
33 Correct 979 ms 52816 KB Output is correct
34 Correct 1187 ms 53060 KB Output is correct
35 Correct 8 ms 12748 KB Output is correct
36 Correct 7 ms 12748 KB Output is correct
37 Correct 104 ms 15968 KB Output is correct
38 Correct 1047 ms 53164 KB Output is correct
39 Correct 994 ms 52984 KB Output is correct
40 Correct 1339 ms 56228 KB Output is correct
41 Correct 1394 ms 56384 KB Output is correct
42 Correct 1412 ms 56620 KB Output is correct
43 Correct 942 ms 55904 KB Output is correct
44 Correct 953 ms 55972 KB Output is correct
45 Correct 763 ms 55780 KB Output is correct
46 Correct 919 ms 55996 KB Output is correct
47 Correct 1016 ms 56172 KB Output is correct
48 Correct 7 ms 12748 KB Output is correct
49 Correct 8 ms 12820 KB Output is correct
50 Correct 10 ms 12876 KB Output is correct
51 Correct 8 ms 12748 KB Output is correct
52 Correct 8 ms 12748 KB Output is correct
53 Correct 10 ms 12876 KB Output is correct
54 Correct 28 ms 13444 KB Output is correct
55 Correct 24 ms 13448 KB Output is correct
56 Correct 27 ms 13764 KB Output is correct
57 Correct 25 ms 13756 KB Output is correct
58 Correct 25 ms 13804 KB Output is correct
59 Correct 27 ms 13760 KB Output is correct
60 Correct 24 ms 13776 KB Output is correct
61 Correct 98 ms 17724 KB Output is correct
62 Correct 143 ms 21740 KB Output is correct
63 Correct 695 ms 55844 KB Output is correct
64 Correct 915 ms 56084 KB Output is correct
65 Correct 1338 ms 56232 KB Output is correct
66 Correct 1352 ms 56428 KB Output is correct
67 Correct 1436 ms 56644 KB Output is correct
68 Correct 861 ms 55908 KB Output is correct
69 Correct 1397 ms 56688 KB Output is correct
70 Correct 992 ms 55980 KB Output is correct
71 Correct 1054 ms 56164 KB Output is correct
72 Correct 1346 ms 56232 KB Output is correct
73 Correct 1460 ms 56420 KB Output is correct
74 Correct 735 ms 55996 KB Output is correct
75 Correct 963 ms 56132 KB Output is correct