oj.uz

Submission #373423

# Submission time Handle Problem Language Result Execution time Memory
373423 2021-03-04T14:24:06 Z pit4h Comparing Plants (IOI20_plants) C++14
100 / 100
 1682 ms 89964 KB 
#include "plants.h"
#include<bits/stdc++.h>
#define st first
#define nd second
#define mp make_pair
using namespace std;
using pii = pair<int, int>;

const int MAXN = 2e5+1, base = (1<<18);
int n, k, when[MAXN], nr;
int ptr[MAXN], ptrr[MAXN];
vector<int> R;

pii tree_max[2*base+1];
void upd(int x) {
	pii val = mp(when[x], x);
	x+=base;
	while(x) {
		tree_max[x] = max(tree_max[x], val);	
		x/=2;
	}
}
pii find_max(int l, int r) {
	if(l>r) {
		return max(find_max(l, n-1), find_max(0, r));
	}
	l+=base, r+=base;
	pii res = tree_max[l];
	if(l!=r) res = max(res, tree_max[r]);
	while(l/2 != r/2) {
		if(l%2==0) res = max(res, tree_max[l+1]);
		if(r%2==1) res = max(res, tree_max[r-1]);
		l /= 2;
		r /= 2;
	}
	return res;
}

int tree[2*base+1], push[2*base+1];
void ADD(int id, int val) {
	tree[id] += val;
	push[id] += val;
}
void add(int l, int r, int val, int id=1, int rl=0, int rr=base-1) {
	if(l>r) {
		add(l, n-1, val), add(0, r, val);
		return;
	}
	if(l>rr || r<rl) return;
	if(l<=rl && r>=rr) {
		ADD(id, val);
		return;
	}
	ADD(id*2, push[id]), ADD(id*2+1, push[id]);
	push[id] = 0;
	add(l, r, val, id*2, rl, (rl+rr)/2), add(l, r, val, id*2+1, (rl+rr)/2+1, rr);
	tree[id] = min(tree[id*2], tree[id*2+1]);
}
int find_closest_zero(int l, int r, int id=1, int rl=0, int rr=base-1) {
	if(l>rr || r<rl || tree[id]>0) return -1;
	if(rl==rr) {
		return rl;
	}

	ADD(id*2, push[id]), ADD(id*2+1, push[id]);
	push[id] = 0;

	int rs = find_closest_zero(l, r, id*2+1, (rl+rr)/2+1, rr);
	if(rs!=-1) return rs;
	return find_closest_zero(l, r, id*2, rl, (rl+rr)/2);
}
int clw_dist(int x, int y) {
	return (x<=y)? y-x: n-(x-y);
}

void solve(int x) {
	//cerr<<"solve("<<x<<")\n";
	while(true) {
		int prv = -1;
		if(x>0) {
			prv = find_closest_zero(0, x-1);
		}
		if(x<n-1 && prv==-1) {
			prv = find_closest_zero(x+1, n-1);
		}
		if(prv != -1 && clw_dist(prv, x) < k) {
			//cerr<<"->";
			solve(prv);
		}
		else {
			break;
		}
	}
	when[x] = ++nr;
	ptr[x] = find_max((x+1)%n, (x+k-1)%n).second;
	ptrr[x] = find_max((x-(k-1)+n)%n, (x-1+n)%n).second;

	add((x-(k-1)+n)%n, (x-1+n)%n, -1);
	add(x, x, n);
	upd(x);
}

void prep_jumps();
void init(int _k, vector<int> _r) {
	k = _k, R = _r, n = R.size();	

	for(int i=0; i<2*base; ++i) {
		tree_max[i] = mp(-1, -1);
	}

	for(int i=0; i<n; ++i) {
		tree[i+base] = R[i];
	}
	for(int i=base-1; i>=1; --i) {
		tree[i] = min(tree[i*2], tree[i*2+1]);
	}

	while(nr < n) {
		int cur = find_closest_zero(0, n-1);	
		assert(cur != -1);
		solve(cur);
	}
	prep_jumps();
}

const int L = 19;
pii jump[L][MAXN], jumpr[L][MAXN];
void prep_jumps() {
	for(int i=0; i<n; ++i) {
		jump[0][i] = mp(ptr[i], clw_dist(i, ptr[i]));
		jumpr[0][i] = mp(ptrr[i], clw_dist(ptrr[i], i));
	}
	for(int l=1; l<L; ++l) {
		for(int i=0; i<n; ++i) {
			if(jump[l-1][i].st != -1) {
				jump[l][i] = jump[l-1][jump[l-1][i].st];
				jump[l][i].nd += jump[l-1][i].nd;
				jump[l][i].nd = min(n, jump[l][i].nd);
			}
			else {
				jump[l][i] = mp(-1, 1);
			}

			if(jumpr[l-1][i].st != -1) {
				jumpr[l][i] = jumpr[l-1][jumpr[l-1][i].st];
				jumpr[l][i].nd += jumpr[l-1][i].nd;
				jumpr[l][i].nd = min(n, jumpr[l][i].nd);
			}
			else {
				jumpr[l][i] = mp(-1, 1);
			}
		}
	}
}
bool is_bigger(int _x, int y) {
	int x = _x;
	for(int l=L-1; l>=0; --l) {
		if(jump[l][x].st!=-1 && jump[l][x].nd <= clw_dist(x, y)) {
			x = jump[l][x].st;
		}
	}
	if(clw_dist(x, y)<k && when[x] >= when[y]) return true;

	x = _x;
	for(int l=L-1; l>=0; --l) {
		if(jumpr[l][x].st!=-1 && jumpr[l][x].nd <= clw_dist(y, x)) {
			x = jumpr[l][x].st;
		}
	}
	if(clw_dist(y, x)<k  && when[x] >= when[y]) return true;
	return false;
}

int compare_plants(int x, int y) {
	if(is_bigger(x, y)) return -1;
	if(is_bigger(y, x)) return 1;
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5740 KB Output is correct
2 Correct 4 ms 5740 KB Output is correct
3 Correct 4 ms 5760 KB Output is correct
4 Correct 4 ms 5740 KB Output is correct
5 Correct 4 ms 5740 KB Output is correct
6 Correct 87 ms 8684 KB Output is correct
7 Correct 241 ms 15468 KB Output is correct
8 Correct 615 ms 74604 KB Output is correct
9 Correct 678 ms 74732 KB Output is correct
10 Correct 744 ms 74988 KB Output is correct
11 Correct 820 ms 76780 KB Output is correct
12 Correct 844 ms 83816 KB Output is correct
13 Correct 1020 ms 89964 KB Output is correct
14 Correct 784 ms 77292 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5740 KB Output is correct
2 Correct 4 ms 5740 KB Output is correct
3 Correct 4 ms 5740 KB Output is correct
4 Correct 4 ms 5740 KB Output is correct
5 Correct 5 ms 5868 KB Output is correct
6 Correct 11 ms 6124 KB Output is correct
7 Correct 162 ms 10348 KB Output is correct
8 Correct 7 ms 5868 KB Output is correct
9 Correct 9 ms 6124 KB Output is correct
10 Correct 162 ms 10396 KB Output is correct
11 Correct 169 ms 10368 KB Output is correct
12 Correct 110 ms 10476 KB Output is correct
13 Correct 162 ms 10348 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5740 KB Output is correct
2 Correct 4 ms 5740 KB Output is correct
3 Correct 4 ms 5740 KB Output is correct
4 Correct 4 ms 5740 KB Output is correct
5 Correct 5 ms 5868 KB Output is correct
6 Correct 11 ms 6124 KB Output is correct
7 Correct 162 ms 10348 KB Output is correct
8 Correct 7 ms 5868 KB Output is correct
9 Correct 9 ms 6124 KB Output is correct
10 Correct 162 ms 10396 KB Output is correct
11 Correct 169 ms 10368 KB Output is correct
12 Correct 110 ms 10476 KB Output is correct
13 Correct 162 ms 10348 KB Output is correct
14 Correct 301 ms 15340 KB Output is correct
15 Correct 1661 ms 74348 KB Output is correct
16 Correct 285 ms 15340 KB Output is correct
17 Correct 1629 ms 74436 KB Output is correct
18 Correct 1101 ms 80748 KB Output is correct
19 Correct 973 ms 74348 KB Output is correct
20 Correct 1682 ms 74348 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5740 KB Output is correct
2 Correct 4 ms 5740 KB Output is correct
3 Correct 127 ms 9324 KB Output is correct
4 Correct 954 ms 77508 KB Output is correct
5 Correct 966 ms 75372 KB Output is correct
6 Correct 1211 ms 74732 KB Output is correct
7 Correct 1384 ms 74604 KB Output is correct
8 Correct 1583 ms 74604 KB Output is correct
9 Correct 991 ms 76352 KB Output is correct
10 Correct 1004 ms 76140 KB Output is correct
11 Correct 1012 ms 87276 KB Output is correct
12 Correct 846 ms 74604 KB Output is correct
13 Correct 1122 ms 83436 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5740 KB Output is correct
2 Correct 4 ms 5740 KB Output is correct
3 Correct 4 ms 5740 KB Output is correct
4 Correct 4 ms 5740 KB Output is correct
5 Correct 4 ms 5740 KB Output is correct
6 Correct 7 ms 5868 KB Output is correct
7 Correct 29 ms 6892 KB Output is correct
8 Correct 25 ms 6508 KB Output is correct
9 Correct 28 ms 6764 KB Output is correct
10 Correct 25 ms 6764 KB Output is correct
11 Correct 28 ms 6764 KB Output is correct
12 Correct 28 ms 6764 KB Output is correct
13 Correct 27 ms 6784 KB Output is correct

Subtask #6
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5740 KB Output is correct
2 Correct 4 ms 5740 KB Output is correct
3 Correct 4 ms 5740 KB Output is correct
4 Correct 4 ms 5752 KB Output is correct
5 Correct 8 ms 6124 KB Output is correct
6 Correct 757 ms 74680 KB Output is correct
7 Correct 750 ms 74608 KB Output is correct
8 Correct 1095 ms 74604 KB Output is correct
9 Correct 969 ms 74732 KB Output is correct
10 Correct 653 ms 76140 KB Output is correct
11 Correct 828 ms 77804 KB Output is correct
12 Correct 677 ms 80236 KB Output is correct
13 Correct 809 ms 77548 KB Output is correct
14 Correct 883 ms 76908 KB Output is correct
15 Correct 899 ms 77036 KB Output is correct
16 Correct 684 ms 78316 KB Output is correct
17 Correct 687 ms 76908 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5740 KB Output is correct
2 Correct 4 ms 5740 KB Output is correct
3 Correct 4 ms 5760 KB Output is correct
4 Correct 4 ms 5740 KB Output is correct
5 Correct 4 ms 5740 KB Output is correct
6 Correct 87 ms 8684 KB Output is correct
7 Correct 241 ms 15468 KB Output is correct
8 Correct 615 ms 74604 KB Output is correct
9 Correct 678 ms 74732 KB Output is correct
10 Correct 744 ms 74988 KB Output is correct
11 Correct 820 ms 76780 KB Output is correct
12 Correct 844 ms 83816 KB Output is correct
13 Correct 1020 ms 89964 KB Output is correct
14 Correct 784 ms 77292 KB Output is correct
15 Correct 4 ms 5740 KB Output is correct
16 Correct 4 ms 5740 KB Output is correct
17 Correct 4 ms 5740 KB Output is correct
18 Correct 4 ms 5740 KB Output is correct
19 Correct 5 ms 5868 KB Output is correct
20 Correct 11 ms 6124 KB Output is correct
21 Correct 162 ms 10348 KB Output is correct
22 Correct 7 ms 5868 KB Output is correct
23 Correct 9 ms 6124 KB Output is correct
24 Correct 162 ms 10396 KB Output is correct
25 Correct 169 ms 10368 KB Output is correct
26 Correct 110 ms 10476 KB Output is correct
27 Correct 162 ms 10348 KB Output is correct
28 Correct 301 ms 15340 KB Output is correct
29 Correct 1661 ms 74348 KB Output is correct
30 Correct 285 ms 15340 KB Output is correct
31 Correct 1629 ms 74436 KB Output is correct
32 Correct 1101 ms 80748 KB Output is correct
33 Correct 973 ms 74348 KB Output is correct
34 Correct 1682 ms 74348 KB Output is correct
35 Correct 4 ms 5740 KB Output is correct
36 Correct 4 ms 5740 KB Output is correct
37 Correct 127 ms 9324 KB Output is correct
38 Correct 954 ms 77508 KB Output is correct
39 Correct 966 ms 75372 KB Output is correct
40 Correct 1211 ms 74732 KB Output is correct
41 Correct 1384 ms 74604 KB Output is correct
42 Correct 1583 ms 74604 KB Output is correct
43 Correct 991 ms 76352 KB Output is correct
44 Correct 1004 ms 76140 KB Output is correct
45 Correct 1012 ms 87276 KB Output is correct
46 Correct 846 ms 74604 KB Output is correct
47 Correct 1122 ms 83436 KB Output is correct
48 Correct 4 ms 5740 KB Output is correct
49 Correct 4 ms 5740 KB Output is correct
50 Correct 4 ms 5740 KB Output is correct
51 Correct 4 ms 5740 KB Output is correct
52 Correct 4 ms 5740 KB Output is correct
53 Correct 7 ms 5868 KB Output is correct
54 Correct 29 ms 6892 KB Output is correct
55 Correct 25 ms 6508 KB Output is correct
56 Correct 28 ms 6764 KB Output is correct
57 Correct 25 ms 6764 KB Output is correct
58 Correct 28 ms 6764 KB Output is correct
59 Correct 28 ms 6764 KB Output is correct
60 Correct 27 ms 6784 KB Output is correct
61 Correct 131 ms 10988 KB Output is correct
62 Correct 270 ms 17388 KB Output is correct
63 Correct 783 ms 77292 KB Output is correct
64 Correct 976 ms 77676 KB Output is correct
65 Correct 1195 ms 77932 KB Output is correct
66 Correct 1391 ms 77932 KB Output is correct
67 Correct 1608 ms 78060 KB Output is correct
68 Correct 961 ms 79448 KB Output is correct
69 Correct 977 ms 78700 KB Output is correct
70 Correct 1002 ms 80748 KB Output is correct
71 Correct 1247 ms 78444 KB Output is correct
72 Correct 1275 ms 77804 KB Output is correct
73 Correct 1341 ms 77804 KB Output is correct
74 Correct 803 ms 77440 KB Output is correct
75 Correct 984 ms 77948 KB Output is correct