oj.uz

Submission #412359

# Submission time Handle Problem Language Result Execution time Memory
412359 2021-05-26T17:50:17 Z atoiz Comparing Plants (IOI20_plants) C++14
100 / 100
 1182 ms 69756 KB 
#include "plants.h"
#include <iostream>
#include <vector>
#include <algorithm>
#include <cstdio>
#include <cmath>
#include <cassert>
 
using namespace std;
 
const int N = 1 << 18, K = 18;
// const int K = 6, N = 1 << K;
 
struct min_val_t {
	struct node_t {
		int pos, val, inc;
		node_t(int _pos = 0, int _val = 0, int _inc = 0): pos(_pos), val(_val), inc(_inc) {}
	} a[N << 2];
	int n;
 
	void pull(int rt) {
		int lc = rt << 1, rc = lc | 1;
		a[rt].pos = (a[lc].val < a[rc].val) ? a[lc].pos : a[rc].pos;
		a[rt].val = min(a[lc].val, a[rc].val) + a[rt].inc;
	}
 
	void build(int rt, int lo, int hi, vector<int> &r) {
		if (lo == hi) {
			a[rt] = {lo, r[lo], 0}; 
		} else {
			int lc = rt << 1, rc = lc | 1, md = (lo + hi) >> 1;
			build(lc, lo, md, r);
			build(rc, md + 1, hi, r);
			a[rt].inc = 0;
			pull(rt);
		}
	}
 
	int get_val() { return a[1].val; }
	int get_pos() { return a[1].pos; }
 
	void modify(int rt, int lo, int hi, int l, int r, int x) {
		if (r < lo || hi < l) return;
		if (l <= lo && hi <= r) {
			a[rt].val += x, a[rt].inc += x;
			return;
		}
 
		int lc = rt << 1, rc = lc | 1, md = (lo + hi) >> 1;
		modify(lc, lo, md, l, r, x);
		modify(rc, md + 1, hi, l, r, x);
		pull(rt);
	}
 
	void modify(int l, int r, int x) {
		modify(1, 0, n - 1, l, r, x);
	}
 
	min_val_t(vector<int> r) {
		// fprintf(stderr, "%s\n", "OK");
		n = (int) r.size();
		build(1, 0, n - 1, r);
	}
};
 
struct max_dist_t {
	struct node_t {
		int pos, lef, rig, len, best_pos, best_dist;
		node_t(int _pos = -1, int _lef = -1, int _rig = -1, int _len = 0, int _best_pos = -1, int _best_dist = -1):
			pos(_pos), lef(_lef), rig(_rig), len(_len), best_pos(_best_pos), best_dist(_best_dist) {}
 
		void on(int p) {
			pos = p, lef = 0, rig = 0, len = 1, best_pos = -1, best_dist = -1;
		}
 
		void off(int p) {
			pos = -1, lef = -1, rig = -1, len = 1, best_pos = -1, best_dist = -1;	
		}
 
		friend node_t operator+ (node_t l, node_t r) {
			node_t x;
			if (l.pos == -1) x = r, x.lef += l.len, x.len += l.len;
			else if (r.pos == -1) x = l, x.rig += r.len, x.len += r.len;
			else {
				x.pos = l.pos;
				x.lef = l.lef;
				x.rig = r.rig;
				x.len = l.len + r.len;
				if (l.best_dist > r.best_dist) {
					x.best_pos = l.best_pos;
					x.best_dist = l.best_dist;
				} else {
					x.best_pos = r.best_pos;
					x.best_dist = r.best_dist;
				}
				if (l.rig + r.lef > x.best_dist) {
					x.best_pos = r.pos;
					x.best_dist = l.rig + r.lef;
				}
			}
			return x;
		}
	} a[N << 1];
	int n;
 
	max_dist_t(int _n) {
		n = _n;
		for (int i = 0; i < N; ++i) a[N + i].off(i);
		for (int i = n; i < N; ++i) a[N + i].len = 0;
		for (int i = N - 1; i > 0; --i) a[i] = a[i << 1] + a[i << 1 | 1];
	}
 
	void turn_on(int i) {
		a[i + N].on(i);
		for (i = (i + N) / 2; i > 0; i >>= 1) a[i] = a[i << 1] + a[i << 1 | 1];
	}
 
	void turn_off(int i) {
		a[i + N].off(i);
		for (i = (i + N) / 2; i > 0; i >>= 1) a[i] = a[i << 1] + a[i << 1 | 1];
	}
	
	int get() {
		int pos = a[1].best_pos;
		// cout << "S" << a[1].pos << endl;
		if (a[1].lef + a[1].rig > a[1].best_dist) pos = a[1].pos;
		assert(pos != -1);
		return pos;
	}
};
 
struct assign_t {
	int n, a[N << 2];
 
	void build(int rt, int lo, int hi) {
		if (lo == hi) {
			a[rt] = lo;
		} else {
			a[rt] = -1;
			int lc = rt << 1, rc = lc | 1, md = (lo + hi) >> 1;
			build(lc, lo, md);
			build(rc, md + 1, hi);
		}
	}
 
	assign_t(int _n) {
		n = _n;
		build(1, 0, n - 1);
	}
 
	void modify(int rt, int lo, int hi, int l, int r, int x) {
		if (r < lo || hi < l) return;
		if (l <= lo && hi <= r) return a[rt] = x, void(0);
 
		int lc = rt << 1, rc = lc | 1, md = (lo + hi) >> 1;
		if (a[rt] != -1) a[lc] = a[rc] = a[rt], a[rt] = -1;
		modify(lc, lo, md, l, r, x);
		modify(rc, md + 1, hi, l, r, x);
	}
	void modify(int l, int r, int x) {
		l = max(0, l), r = min(n - 1, r);
		if (l <= r) modify(1, 0, n - 1, l, r, x);
	}
 
	int get(int i) {
		int rt = 1, lo = 0, hi = n - 1;
		while (a[rt] == -1) {
			int md = (lo + hi) >> 1;
			if (i <= md) rt = rt << 1, hi = md;
			else rt = rt << 1 | 1, lo = md + 1;
		}
		return a[rt];
	}
};
 
int n, k, init_rank[N], jump_lef[K][N], jump_rig[K][N];
 
int calc_dist(int l, int r) {
	int d = r - l;
	if (d < 0) d += n;
	return d;
}
 
int move_idx(int i, int d) {
	return (((i + d) % n) + n) % n;
}
 
void init(int _k, vector<int> a) {
	// for (int x : a) cout << x << ' '; cout << endl;
	n = (int) a.size(), k = _k;
	min_val_t min_val_query(a);
	max_dist_t max_dist_query(n);
	assign_t assign_left_query(n), assign_right_query(n);
 
	for (int rnk = 0; rnk < n; ++rnk) {
		while (min_val_query.get_val() == 0) {
			int i = min_val_query.get_pos();
			max_dist_query.turn_on(i);
			min_val_query.modify(i, i, N);
		}
 
		int i = max_dist_query.get();
		min_val_query.modify(i - k + 1, i, -1);
		min_val_query.modify(i + n - k + 1, n - 1, -1);
		max_dist_query.turn_off(i);
 
		init_rank[i] = rnk;
		jump_lef[0][i] = calc_dist(assign_left_query.get(i), i);
		jump_rig[0][i] = calc_dist(i, assign_right_query.get(i));
 
		assign_right_query.modify(i - k + 1, i, i);
		assign_right_query.modify(i + n - k + 1, n - 1, i);
 
		assign_left_query.modify(i, i + k - 1, i);
		assign_left_query.modify(0, i - n + k - 1, i);
	}
 
	for (int j = 1; j < K; ++j) {
		for (int u = 0; u < n; ++u) {
			int v;
 
			v = move_idx(u, -jump_lef[j - 1][u]);
			jump_lef[j][u] = jump_lef[j - 1][u] + jump_lef[j - 1][v];
			jump_lef[j][u] = min(jump_lef[j][u], N);
 
			v = move_idx(u, jump_rig[j - 1][u]);
			jump_rig[j][u] = jump_rig[j - 1][u] + jump_rig[j - 1][v];
			jump_rig[j][u] = min(jump_rig[j][u], N);
		}
	}
 
	return;
}
 
bool is_shorter(int x, int y) {
	// fprintf(stderr, "shorter %d %d\n", x, y);
	if (init_rank[x] <= init_rank[y]) return false;
	int u;
 
	u = x;
	for (int j = K - 1; j >= 0; --j) {
		if (jump_lef[j][u] <= calc_dist(y, u)) u = move_idx(u, -jump_lef[j][u]);
	}
	// fprintf(stderr, "u = %d\n", u);
	if ((calc_dist(u, y) < k || calc_dist(y, u) < k) && init_rank[u] >= init_rank[y]) return true;
 
	u = x;
	for (int j = K - 1; j >= 0; --j) {
		if (jump_rig[j][u] <= calc_dist(u, y)) u = move_idx(u, jump_rig[j][u]);
	}
	// fprintf(stderr, "u = %d\n", u);
	if ((calc_dist(u, y) < k || calc_dist(y, u) < k) && init_rank[u] >= init_rank[y]) return true;
 
	return false;
}
 
int compare_plants(int x, int y) {
	if (is_shorter(y, x)) return 1;
	if (is_shorter(x, y)) return -1;
	return 0;
}
 
// int main() {
	// vector<int> r = {0, 1, 4, 2, 3, 6, 7, 5};
	// min_val_t mv(r);
	// for (int k = 0; k < 8; ++k) {
	// 	cout << mv.get_pos() << ": " << mv.get_val() << endl;
	// 	mv.modify(mv.get_pos(), mv.get_pos(), N * 2);
	// 	mv.modify(0, 7, -1);
	// }
 
	// max_dist_t md(8);
	// // md.turn_on(5);
	// // md.turn_on(0);
	// cout << md.get() << endl;
 
	// assign_t a(8);
	// cout << a.get(3) << endl;
	// a.modify(1, 4, 2);
	// cout << a.get(3) << endl;
	// a.modify(1, 1, 3);
	// cout << a.get(3) << endl;
// }

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 33228 KB Output is correct
2 Correct 25 ms 33240 KB Output is correct
3 Correct 27 ms 33248 KB Output is correct
4 Correct 25 ms 33228 KB Output is correct
5 Correct 23 ms 33248 KB Output is correct
6 Correct 176 ms 36128 KB Output is correct
7 Correct 333 ms 39080 KB Output is correct
8 Correct 964 ms 66044 KB Output is correct
9 Correct 980 ms 66064 KB Output is correct
10 Correct 890 ms 66116 KB Output is correct
11 Correct 883 ms 66104 KB Output is correct
12 Correct 874 ms 66060 KB Output is correct
13 Correct 652 ms 66040 KB Output is correct
14 Correct 1073 ms 66108 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 33220 KB Output is correct
2 Correct 24 ms 33320 KB Output is correct
3 Correct 24 ms 33252 KB Output is correct
4 Correct 24 ms 33252 KB Output is correct
5 Correct 23 ms 33312 KB Output is correct
6 Correct 30 ms 33456 KB Output is correct
7 Correct 144 ms 36952 KB Output is correct
8 Correct 30 ms 33312 KB Output is correct
9 Correct 38 ms 33520 KB Output is correct
10 Correct 116 ms 36980 KB Output is correct
11 Correct 138 ms 36876 KB Output is correct
12 Correct 211 ms 37000 KB Output is correct
13 Correct 117 ms 37096 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 33220 KB Output is correct
2 Correct 24 ms 33320 KB Output is correct
3 Correct 24 ms 33252 KB Output is correct
4 Correct 24 ms 33252 KB Output is correct
5 Correct 23 ms 33312 KB Output is correct
6 Correct 30 ms 33456 KB Output is correct
7 Correct 144 ms 36952 KB Output is correct
8 Correct 30 ms 33312 KB Output is correct
9 Correct 38 ms 33520 KB Output is correct
10 Correct 116 ms 36980 KB Output is correct
11 Correct 138 ms 36876 KB Output is correct
12 Correct 211 ms 37000 KB Output is correct
13 Correct 117 ms 37096 KB Output is correct
14 Correct 180 ms 39172 KB Output is correct
15 Correct 936 ms 66036 KB Output is correct
16 Correct 173 ms 39208 KB Output is correct
17 Correct 931 ms 66180 KB Output is correct
18 Correct 727 ms 66104 KB Output is correct
19 Correct 909 ms 66096 KB Output is correct
20 Correct 873 ms 66112 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 33252 KB Output is correct
2 Correct 24 ms 33256 KB Output is correct
3 Correct 182 ms 36456 KB Output is correct
4 Correct 788 ms 66124 KB Output is correct
5 Correct 985 ms 66032 KB Output is correct
6 Correct 942 ms 66108 KB Output is correct
7 Correct 974 ms 66080 KB Output is correct
8 Correct 945 ms 66088 KB Output is correct
9 Correct 678 ms 69064 KB Output is correct
10 Correct 859 ms 69068 KB Output is correct
11 Correct 618 ms 68960 KB Output is correct
12 Correct 1076 ms 69160 KB Output is correct
13 Correct 732 ms 69300 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 33220 KB Output is correct
2 Correct 22 ms 33320 KB Output is correct
3 Correct 24 ms 33288 KB Output is correct
4 Correct 24 ms 33252 KB Output is correct
5 Correct 24 ms 33208 KB Output is correct
6 Correct 28 ms 33304 KB Output is correct
7 Correct 58 ms 33852 KB Output is correct
8 Correct 43 ms 33880 KB Output is correct
9 Correct 52 ms 33944 KB Output is correct
10 Correct 41 ms 33860 KB Output is correct
11 Correct 59 ms 33848 KB Output is correct
12 Correct 52 ms 33864 KB Output is correct
13 Correct 48 ms 33860 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 33336 KB Output is correct
2 Correct 23 ms 33312 KB Output is correct
3 Correct 23 ms 33248 KB Output is correct
4 Correct 24 ms 33248 KB Output is correct
5 Correct 26 ms 33404 KB Output is correct
6 Correct 836 ms 66076 KB Output is correct
7 Correct 827 ms 66076 KB Output is correct
8 Correct 942 ms 66112 KB Output is correct
9 Correct 869 ms 66036 KB Output is correct
10 Correct 889 ms 68208 KB Output is correct
11 Correct 758 ms 68844 KB Output is correct
12 Correct 637 ms 68148 KB Output is correct
13 Correct 760 ms 68260 KB Output is correct
14 Correct 830 ms 68452 KB Output is correct
15 Correct 849 ms 68772 KB Output is correct
16 Correct 638 ms 68232 KB Output is correct
17 Correct 733 ms 68280 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 33228 KB Output is correct
2 Correct 25 ms 33240 KB Output is correct
3 Correct 27 ms 33248 KB Output is correct
4 Correct 25 ms 33228 KB Output is correct
5 Correct 23 ms 33248 KB Output is correct
6 Correct 176 ms 36128 KB Output is correct
7 Correct 333 ms 39080 KB Output is correct
8 Correct 964 ms 66044 KB Output is correct
9 Correct 980 ms 66064 KB Output is correct
10 Correct 890 ms 66116 KB Output is correct
11 Correct 883 ms 66104 KB Output is correct
12 Correct 874 ms 66060 KB Output is correct
13 Correct 652 ms 66040 KB Output is correct
14 Correct 1073 ms 66108 KB Output is correct
15 Correct 25 ms 33220 KB Output is correct
16 Correct 24 ms 33320 KB Output is correct
17 Correct 24 ms 33252 KB Output is correct
18 Correct 24 ms 33252 KB Output is correct
19 Correct 23 ms 33312 KB Output is correct
20 Correct 30 ms 33456 KB Output is correct
21 Correct 144 ms 36952 KB Output is correct
22 Correct 30 ms 33312 KB Output is correct
23 Correct 38 ms 33520 KB Output is correct
24 Correct 116 ms 36980 KB Output is correct
25 Correct 138 ms 36876 KB Output is correct
26 Correct 211 ms 37000 KB Output is correct
27 Correct 117 ms 37096 KB Output is correct
28 Correct 180 ms 39172 KB Output is correct
29 Correct 936 ms 66036 KB Output is correct
30 Correct 173 ms 39208 KB Output is correct
31 Correct 931 ms 66180 KB Output is correct
32 Correct 727 ms 66104 KB Output is correct
33 Correct 909 ms 66096 KB Output is correct
34 Correct 873 ms 66112 KB Output is correct
35 Correct 22 ms 33252 KB Output is correct
36 Correct 24 ms 33256 KB Output is correct
37 Correct 182 ms 36456 KB Output is correct
38 Correct 788 ms 66124 KB Output is correct
39 Correct 985 ms 66032 KB Output is correct
40 Correct 942 ms 66108 KB Output is correct
41 Correct 974 ms 66080 KB Output is correct
42 Correct 945 ms 66088 KB Output is correct
43 Correct 678 ms 69064 KB Output is correct
44 Correct 859 ms 69068 KB Output is correct
45 Correct 618 ms 68960 KB Output is correct
46 Correct 1076 ms 69160 KB Output is correct
47 Correct 732 ms 69300 KB Output is correct
48 Correct 24 ms 33220 KB Output is correct
49 Correct 22 ms 33320 KB Output is correct
50 Correct 24 ms 33288 KB Output is correct
51 Correct 24 ms 33252 KB Output is correct
52 Correct 24 ms 33208 KB Output is correct
53 Correct 28 ms 33304 KB Output is correct
54 Correct 58 ms 33852 KB Output is correct
55 Correct 43 ms 33880 KB Output is correct
56 Correct 52 ms 33944 KB Output is correct
57 Correct 41 ms 33860 KB Output is correct
58 Correct 59 ms 33848 KB Output is correct
59 Correct 52 ms 33864 KB Output is correct
60 Correct 48 ms 33860 KB Output is correct
61 Correct 292 ms 38232 KB Output is correct
62 Correct 413 ms 41172 KB Output is correct
63 Correct 1182 ms 69080 KB Output is correct
64 Correct 906 ms 69212 KB Output is correct
65 Correct 975 ms 69320 KB Output is correct
66 Correct 976 ms 69644 KB Output is correct
67 Correct 944 ms 69712 KB Output is correct
68 Correct 985 ms 69108 KB Output is correct
69 Correct 891 ms 69756 KB Output is correct
70 Correct 905 ms 68956 KB Output is correct
71 Correct 1024 ms 69168 KB Output is correct
72 Correct 953 ms 69316 KB Output is correct
73 Correct 970 ms 69512 KB Output is correct
74 Correct 1020 ms 69096 KB Output is correct
75 Correct 826 ms 69240 KB Output is correct