Submission #811193

# Submission time Handle Problem Language Result Execution time Memory
811193 2023-08-07T02:16:16 Z LittleCube Comparing Plants (IOI20_plants) C++17
100 / 100
1470 ms 115252 KB
#include "plants.h"
#include <bits/stdc++.h>
#define pii pair<int, int>
#define pll pair<ll, ll>
#define F first
#define S second
#define ll long long
using namespace std;

namespace
{
	int n, k, order[200005], out[200005], in[200005];
	ll l[200005][20], r[200005][20];
}

struct segTree
{
	pll seg[800005];
	ll lazy[800005];

	void init(int i = 1, int L = 0, int R = n - 1)
	{
		seg[i].S = L;
		if (L == R)
			return;
		int mid = (L + R) / 2;
		init(i << 1, L, mid);
		init(i << 1 | 1, mid + 1, R);
	}

	void modify(int mL, int mR, ll val, int i = 1, int L = 0, int R = n - 1)
	{
		if (mL <= L && R <= mR)
		{
			lazy[i] += val;
			seg[i].F += val;
		}
		else if (R < mL || mR < L)
			return;
		else
		{
			int mid = (L + R) / 2;
			lazy[i << 1] += lazy[i];
			lazy[i << 1 | 1] += lazy[i];
			seg[i << 1].F += lazy[i];
			seg[i << 1 | 1].F += lazy[i];
			lazy[i] = 0;
			modify(mL, mR, val, i << 1, L, mid);
			modify(mL, mR, val, i << 1 | 1, mid + 1, R);
			seg[i] = min(seg[i << 1], seg[i << 1 | 1]);
		}
	}

	pll query(int qL, int qR, int i = 1, int L = 0, int R = n - 1)
	{
		if (qL <= L && R <= qR)
			return seg[i];
		else if (R < qL || qR < L)
			return pll(1e9, n + 1);
		else
		{
			int mid = (L + R) / 2;
			lazy[i << 1] += lazy[i];
			lazy[i << 1 | 1] += lazy[i];
			seg[i << 1].F += lazy[i];
			seg[i << 1 | 1].F += lazy[i];
			lazy[i] = 0;
			return min(query(qL, qR, i << 1, L, mid),
					   query(qL, qR, i << 1 | 1, mid + 1, R));
		}
	}
	void safe_modify(int l, int r, ll val)
	{
		if (l <= r)
			modify(l, r, val);
		else
		{
			modify(l, n - 1, val);
			modify(0, r, val);
		}
	}
} seg, zero;

struct changeValseg
{
	ll seg[800005];

	void init(int i = 1, int L = 0, int R = n - 1)
	{
		seg[i] = -1;
		if (L == R)
			return;
		int mid = (L + R) / 2;
		init(i << 1, L, mid);
		init(i << 1 | 1, mid + 1, R);
	}

	void modify(int mL, int mR, ll val, int i = 1, int L = 0, int R = n - 1)
	{
		if (mL <= L && R <= mR)
			seg[i] = val;
		else if (R < mL || mR < L)
			return;
		else
		{
			if (seg[i] != -1)
			{
				seg[i << 1] = seg[i << 1 | 1] = seg[i];
				seg[i] = -1;
			}
			int mid = (L + R) / 2;
			modify(mL, mR, val, i << 1, L, mid);
			modify(mL, mR, val, i << 1 | 1, mid + 1, R);
		}
	}

	ll query(int pos, int i = 1, int L = 0, int R = n - 1)
	{
		if (seg[i] != -1 || L == R)
			return seg[i];
		else
		{
			int mid = (L + R) / 2;
			if (pos <= mid)
				return query(pos, i << 1, L, mid);
			else
				return query(pos, i << 1 | 1, mid + 1, R);
		}
	}

	void safe_modify(int l, int r, ll val)
	{
		if (l <= r)
			modify(l, r, val);
		else
		{
			modify(l, n - 1, val);
			modify(0, r, val);
		}
	}
} open, conceal;

const ll inf = 1e9;

void init(int k, vector<int> r)
{
	n = r.size();
	::k = k;
	seg.init();
	zero.init();
	open.init();
	conceal.init();
	for (int i = 0; i < n; i++)
	{
		r[i] = k - 1 - r[i];
		seg.modify(i, i, r[i]);
		zero.modify(i, i, r[i]);
	}
	for (int it = 1; it <= n; it++)
	{
		{
			auto [v, p] = zero.query(0, n - 1);
			while (v == 0)
			{
				seg.safe_modify((p + 1) % n, (p + k - 1) % n, inf);
				zero.modify(p, p, inf);
				out[p] = open.query(p);
				tie(v, p) = zero.query(0, n - 1);
			}
		}
		int cur = seg.query(0, n - 1).S;
		in[cur] = conceal.query(cur);
		// cerr << cur << "->" << in[cur] << ' ' << out[cur] << '\n';
		seg.modify(cur, cur, inf);
		seg.safe_modify((cur + 1) % n, (cur + k - 1) % n, -inf);
		zero.safe_modify((cur - k + 1 + n) % n, cur, -1);
		seg.safe_modify((cur - k + 1 + n) % n, cur, -1);
		conceal.safe_modify((cur + 1) % n, (cur + k - 1) % n, cur);
		open.safe_modify((cur - k + 1 + n) % n, cur, cur);
		assert(order[cur] == 0);
		order[cur] = it;
	}

	vector<int> ord(n);
	for (int i = 0; i < n; i++)
		ord[order[i] - 1] = i;
	for (int i = 0; i < n; i++)
	{
		int u = ord[i];
		if (in[u] >= 0)
			l[u][0] = (u - in[u] + n) % n;
		else
			l[u][0] = 0;
		if (out[u] >= 0)
			::r[u][0] = (out[u] - u + n) % n;
		else
			::r[u][0] = 0;
	}
	for (int p = 0; p + 1 < 20; p++)
		for (int i = 0; i < n; i++)
		{
			l[i][p + 1] = l[i][p] + l[((i - l[i][p]) % n + n) % n][p];
			::r[i][p + 1] = ::r[i][p] + ::r[(i + ::r[i][p]) % n][p];
		}
	// for (int i = 0; i < n; i++)
	// 	cerr << in[i] << ' ' << l[i] << ' ' << out[i] << ' ' << ::r[i] << '\n';
}

bool reach(int x, int y)
{
	// check left
	int u = x, v = y;
	if (u > v)
		u -= n;
	for (int p = 19; p >= 0; p--)
		if (u <= v - l[(v + n) % n][p])
			v = v - l[(v + n) % n][p];
	if (abs(u - v) < k && order[(u + n) % n] <= order[(v + n) % n])
		return 1;
	u = x, v = y;
	if (u < v)
		u += n;
	for (int p = 19; p >= 0; p--)
		if (v + r[v % n][p] <= u)
			v = v + r[v % n][p];
	if (abs(u - v) < k)
		return order[u % n] <= order[v % n];
	return 0;
}

int compare_plants(int x, int y)
{
	if (reach(x, y))
		return -1;
	if (reach(y, x))
		return 1;
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 10 ms 25300 KB Output is correct
2 Correct 10 ms 25364 KB Output is correct
3 Correct 10 ms 25376 KB Output is correct
4 Correct 10 ms 25380 KB Output is correct
5 Correct 10 ms 25300 KB Output is correct
6 Correct 131 ms 29132 KB Output is correct
7 Correct 199 ms 39156 KB Output is correct
8 Correct 777 ms 114264 KB Output is correct
9 Correct 782 ms 114352 KB Output is correct
10 Correct 793 ms 114356 KB Output is correct
11 Correct 820 ms 114392 KB Output is correct
12 Correct 858 ms 114328 KB Output is correct
13 Correct 918 ms 114364 KB Output is correct
14 Correct 738 ms 114364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 25300 KB Output is correct
2 Correct 10 ms 25328 KB Output is correct
3 Correct 11 ms 25300 KB Output is correct
4 Correct 10 ms 25380 KB Output is correct
5 Correct 12 ms 25380 KB Output is correct
6 Correct 16 ms 25912 KB Output is correct
7 Correct 130 ms 32344 KB Output is correct
8 Correct 13 ms 25556 KB Output is correct
9 Correct 16 ms 25804 KB Output is correct
10 Correct 128 ms 32304 KB Output is correct
11 Correct 180 ms 32280 KB Output is correct
12 Correct 98 ms 32344 KB Output is correct
13 Correct 127 ms 32332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 25300 KB Output is correct
2 Correct 10 ms 25328 KB Output is correct
3 Correct 11 ms 25300 KB Output is correct
4 Correct 10 ms 25380 KB Output is correct
5 Correct 12 ms 25380 KB Output is correct
6 Correct 16 ms 25912 KB Output is correct
7 Correct 130 ms 32344 KB Output is correct
8 Correct 13 ms 25556 KB Output is correct
9 Correct 16 ms 25804 KB Output is correct
10 Correct 128 ms 32304 KB Output is correct
11 Correct 180 ms 32280 KB Output is correct
12 Correct 98 ms 32344 KB Output is correct
13 Correct 127 ms 32332 KB Output is correct
14 Correct 192 ms 39136 KB Output is correct
15 Correct 1387 ms 115148 KB Output is correct
16 Correct 198 ms 39216 KB Output is correct
17 Correct 1392 ms 115188 KB Output is correct
18 Correct 1064 ms 114792 KB Output is correct
19 Correct 953 ms 115252 KB Output is correct
20 Correct 1234 ms 115200 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 25300 KB Output is correct
2 Correct 10 ms 25428 KB Output is correct
3 Correct 139 ms 30664 KB Output is correct
4 Correct 982 ms 114384 KB Output is correct
5 Correct 1006 ms 114476 KB Output is correct
6 Correct 1227 ms 114920 KB Output is correct
7 Correct 1342 ms 114904 KB Output is correct
8 Correct 1356 ms 115060 KB Output is correct
9 Correct 1022 ms 114520 KB Output is correct
10 Correct 906 ms 114380 KB Output is correct
11 Correct 890 ms 114392 KB Output is correct
12 Correct 842 ms 114580 KB Output is correct
13 Correct 1148 ms 114668 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 25328 KB Output is correct
2 Correct 11 ms 25388 KB Output is correct
3 Correct 10 ms 25368 KB Output is correct
4 Correct 10 ms 25428 KB Output is correct
5 Correct 10 ms 25380 KB Output is correct
6 Correct 14 ms 25556 KB Output is correct
7 Correct 42 ms 26388 KB Output is correct
8 Correct 33 ms 26396 KB Output is correct
9 Correct 40 ms 26392 KB Output is correct
10 Correct 33 ms 26400 KB Output is correct
11 Correct 40 ms 26400 KB Output is correct
12 Correct 37 ms 26392 KB Output is correct
13 Correct 32 ms 26400 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 25300 KB Output is correct
2 Correct 10 ms 25376 KB Output is correct
3 Correct 10 ms 25348 KB Output is correct
4 Correct 11 ms 25304 KB Output is correct
5 Correct 13 ms 25812 KB Output is correct
6 Correct 935 ms 113776 KB Output is correct
7 Correct 1106 ms 113848 KB Output is correct
8 Correct 1345 ms 114076 KB Output is correct
9 Correct 1317 ms 114224 KB Output is correct
10 Correct 871 ms 113732 KB Output is correct
11 Correct 1135 ms 114196 KB Output is correct
12 Correct 821 ms 113632 KB Output is correct
13 Correct 963 ms 113728 KB Output is correct
14 Correct 1196 ms 113884 KB Output is correct
15 Correct 1243 ms 114124 KB Output is correct
16 Correct 841 ms 113556 KB Output is correct
17 Correct 888 ms 113680 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 25300 KB Output is correct
2 Correct 10 ms 25364 KB Output is correct
3 Correct 10 ms 25376 KB Output is correct
4 Correct 10 ms 25380 KB Output is correct
5 Correct 10 ms 25300 KB Output is correct
6 Correct 131 ms 29132 KB Output is correct
7 Correct 199 ms 39156 KB Output is correct
8 Correct 777 ms 114264 KB Output is correct
9 Correct 782 ms 114352 KB Output is correct
10 Correct 793 ms 114356 KB Output is correct
11 Correct 820 ms 114392 KB Output is correct
12 Correct 858 ms 114328 KB Output is correct
13 Correct 918 ms 114364 KB Output is correct
14 Correct 738 ms 114364 KB Output is correct
15 Correct 10 ms 25300 KB Output is correct
16 Correct 10 ms 25328 KB Output is correct
17 Correct 11 ms 25300 KB Output is correct
18 Correct 10 ms 25380 KB Output is correct
19 Correct 12 ms 25380 KB Output is correct
20 Correct 16 ms 25912 KB Output is correct
21 Correct 130 ms 32344 KB Output is correct
22 Correct 13 ms 25556 KB Output is correct
23 Correct 16 ms 25804 KB Output is correct
24 Correct 128 ms 32304 KB Output is correct
25 Correct 180 ms 32280 KB Output is correct
26 Correct 98 ms 32344 KB Output is correct
27 Correct 127 ms 32332 KB Output is correct
28 Correct 192 ms 39136 KB Output is correct
29 Correct 1387 ms 115148 KB Output is correct
30 Correct 198 ms 39216 KB Output is correct
31 Correct 1392 ms 115188 KB Output is correct
32 Correct 1064 ms 114792 KB Output is correct
33 Correct 953 ms 115252 KB Output is correct
34 Correct 1234 ms 115200 KB Output is correct
35 Correct 10 ms 25300 KB Output is correct
36 Correct 10 ms 25428 KB Output is correct
37 Correct 139 ms 30664 KB Output is correct
38 Correct 982 ms 114384 KB Output is correct
39 Correct 1006 ms 114476 KB Output is correct
40 Correct 1227 ms 114920 KB Output is correct
41 Correct 1342 ms 114904 KB Output is correct
42 Correct 1356 ms 115060 KB Output is correct
43 Correct 1022 ms 114520 KB Output is correct
44 Correct 906 ms 114380 KB Output is correct
45 Correct 890 ms 114392 KB Output is correct
46 Correct 842 ms 114580 KB Output is correct
47 Correct 1148 ms 114668 KB Output is correct
48 Correct 10 ms 25328 KB Output is correct
49 Correct 11 ms 25388 KB Output is correct
50 Correct 10 ms 25368 KB Output is correct
51 Correct 10 ms 25428 KB Output is correct
52 Correct 10 ms 25380 KB Output is correct
53 Correct 14 ms 25556 KB Output is correct
54 Correct 42 ms 26388 KB Output is correct
55 Correct 33 ms 26396 KB Output is correct
56 Correct 40 ms 26392 KB Output is correct
57 Correct 33 ms 26400 KB Output is correct
58 Correct 40 ms 26400 KB Output is correct
59 Correct 37 ms 26392 KB Output is correct
60 Correct 32 ms 26400 KB Output is correct
61 Correct 161 ms 30664 KB Output is correct
62 Correct 221 ms 39076 KB Output is correct
63 Correct 883 ms 114380 KB Output is correct
64 Correct 977 ms 114560 KB Output is correct
65 Correct 1197 ms 114784 KB Output is correct
66 Correct 1322 ms 114844 KB Output is correct
67 Correct 1352 ms 115196 KB Output is correct
68 Correct 967 ms 114488 KB Output is correct
69 Correct 1199 ms 115056 KB Output is correct
70 Correct 1037 ms 114340 KB Output is correct
71 Correct 1109 ms 114556 KB Output is correct
72 Correct 1415 ms 114704 KB Output is correct
73 Correct 1470 ms 114896 KB Output is correct
74 Correct 996 ms 114332 KB Output is correct
75 Correct 947 ms 114560 KB Output is correct