Submission #567349

# Submission time Handle Problem Language Result Execution time Memory
567349 2022-05-23T10:46:26 Z amunduzbaev Rainforest Jumps (APIO21_jumps) C++17
77 / 100
4000 ms 976976 KB
#include "jumps.h"

#ifndef EVAL
#include "stub.cpp"
#endif

#include "bits/stdc++.h"
using namespace std;

const int B = 450;
const int N = 2e5 + 5;
const int M = N / B + 5;
const int lg = 18;
vector<int> edges[N];
int mx[N][lg], mn[N][lg], h[N], pos[N];
int st[N][lg], pre[N];
int lx[N], rx[N];

struct ST{
	int tree[N << 2];
	void build(int lx = 0, int rx = N - 1, int x = 1){
		if(lx == rx) { tree[x] = pre[lx]; return; }
		int m = (lx + rx) >> 1;
		build(lx, m, x << 1);
		build(m + 1, rx, x << 1 | 1);
		tree[x] = min(tree[x<<1], tree[x<<1 | 1]);
	}
	
	int get(int l, int r, int lx = 0, int rx = N - 1, int x = 1){
		if(lx > r || rx < l) return N;
		if(lx >= l && rx <= r) return tree[x];
		int m = (lx + rx) >> 1;
		return min(get(l, r, lx, m, x<<1), get(l, r, m+1, rx, x<<1|1));
	}
}tree[M];

void init(int n, vector<int> H){
	for(int i=0;i<n;i++){
		h[i] = H[i];
		pos[h[i]] = i;
		st[i][0] = h[i];
	}
	
	vector<int> ss;
	for(int i=0;i<n;i++){
		while(!ss.empty() && h[ss.back()] < h[i]) ss.pop_back();
		if(!ss.empty()) lx[i] = ss.back();
		else lx[i] = n;
		ss.push_back(i);
	} ss.clear();
	
	for(int i=n-1;~i;i--){
		while(!ss.empty() && h[ss.back()] < h[i]) ss.pop_back();
		if(!ss.empty()) rx[i] = ss.back();
		else rx[i] = n;
		ss.push_back(i);
	} ss.clear();
	h[n] = N;
	
	for(int i=0;i<n;i++){
		if(h[lx[i]] < h[rx[i]]){
			swap(lx[i], rx[i]);
		} 
		edges[lx[i]].push_back(i);
		edges[rx[i]].push_back(i);
		mn[i][0] = rx[i];
		mx[i][0] = lx[i];
		lx[i] = min(lx[i], rx[i]);
		if(i < lx[i]) lx[i] = -1;
	}
	mn[n][0] = mx[n][0] = n;
	edges[n].clear();
	
	for(int b=0;b * B<n;b++){
		for(int i=0;i<n;i++) pre[i] = N;
		queue<int> q;
		for(int i=0;b * B + i<n && i<B;i++){
			q.push(b * B + i);
			pre[b * B + i] = 0;
		}
		
		while(!q.empty()){
			int u = q.front(); q.pop();
			for(auto x : edges[u]){
				if(pre[x] > pre[u] + 1){
					pre[x] = pre[u] + 1;
					q.push(x);
				}
			}
		}
		
		tree[b].build();
	}
	
	for(int j=1;j<lg;j++){
		for(int i=0;i<=n;i++){
			if(i + (1 << (j - 1)) < n) st[i][j] = max(st[i][j - 1], st[i + (1 << (j - 1))][j-1]);
			mn[i][j] = mn[mn[i][j-1]][j-1];
			mx[i][j] = mx[mx[i][j-1]][j-1];
		}
	}
}

int get(int l, int r){
	int lg = __lg(r - l + 1);
	return max(st[l][lg], st[r - (1 << lg) + 1][lg]);
}

int check(int a, int c){
	int res = 0;
	for(int i=lg-1;~i;i--){
		if(h[mx[a][i]] <= h[c]){
			//~ cout<<mx[a][i]<<" "<<h[mx[a][i]]<<" "<<h[c]<<"\n";
			//~ cout<<i<<"\n";
			a = mx[a][i], res += (1 << i);
		}
	}
	
	for(int i=lg-1;~i;i--){
		if(h[mn[a][i]] <= h[c]){
			//~ cout<<mx[a][i]<<" "<<h[mx[a][i]]<<" "<<h[c]<<"\n";
			a = mn[a][i], res += (1 << i);
		}
	}
	
	if(a != c) return N;
	return res;
}

int minimum_jumps(int a, int b, int c, int d) {
	int bl = c / B, br = d / B;
	int res = N;
	for(int j=bl+1;j<br;j++){
		//~ assert(false);
		res = min(res, tree[j].get(a, b));
	}
	
	auto calc = [&](int l, int r){
		for(int i=l;i<=r;i++){
			int L = max(lx[i] + 1, a);
			if(L <= b){
				int mx = pos[get(L, b)];
				res = min(res, check(mx, i));
			}
		}
	};
	
	if(bl == br){
		calc(c, d);
	} else {
		if(c % B == 0) res = min(res, tree[bl].get(a, b));
		else calc(c, (bl + 1) * B - 1);
		if((d + 1) % B == 0) res = min(res, tree[br].get(a, b));
		else calc(br * B, d);
	}
	
	if(res == N) return -1;
	return res;
}

/*

7 2
3 2 1 6 4 5 7
4 4 6 6
0 1 2 2

*/
# Verdict Execution time Memory Grader output
1 Correct 6 ms 6992 KB Output is correct
2 Correct 6 ms 6992 KB Output is correct
3 Correct 2037 ms 777824 KB Output is correct
4 Execution timed out 4163 ms 976512 KB Time limit exceeded
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 5 ms 6992 KB Output is correct
2 Correct 7 ms 6992 KB Output is correct
3 Correct 6 ms 7024 KB Output is correct
4 Correct 6 ms 7044 KB Output is correct
5 Correct 6 ms 7008 KB Output is correct
6 Correct 8 ms 7152 KB Output is correct
7 Correct 6 ms 7120 KB Output is correct
8 Correct 9 ms 7120 KB Output is correct
9 Correct 7 ms 7168 KB Output is correct
10 Correct 9 ms 7120 KB Output is correct
11 Correct 8 ms 7120 KB Output is correct
12 Correct 8 ms 7120 KB Output is correct
13 Correct 8 ms 7120 KB Output is correct
14 Correct 8 ms 7120 KB Output is correct
15 Correct 7 ms 7120 KB Output is correct
16 Correct 7 ms 7120 KB Output is correct
17 Correct 5 ms 7168 KB Output is correct
18 Correct 6 ms 7016 KB Output is correct
19 Correct 5 ms 7120 KB Output is correct
20 Correct 7 ms 7156 KB Output is correct
21 Correct 6 ms 7120 KB Output is correct
22 Correct 9 ms 7168 KB Output is correct
23 Correct 7 ms 7168 KB Output is correct
24 Correct 9 ms 7192 KB Output is correct
25 Correct 5 ms 6992 KB Output is correct
26 Correct 5 ms 6992 KB Output is correct
27 Correct 6 ms 6992 KB Output is correct
28 Correct 8 ms 7060 KB Output is correct
29 Correct 9 ms 7120 KB Output is correct
30 Correct 7 ms 7056 KB Output is correct
31 Correct 9 ms 7120 KB Output is correct
32 Correct 8 ms 7140 KB Output is correct
33 Correct 6 ms 6992 KB Output is correct
34 Correct 4 ms 7120 KB Output is correct
35 Correct 6 ms 7052 KB Output is correct
36 Correct 6 ms 7120 KB Output is correct
37 Correct 7 ms 7120 KB Output is correct
38 Correct 4 ms 7120 KB Output is correct
39 Correct 5 ms 7120 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 6992 KB Output is correct
2 Correct 7 ms 6992 KB Output is correct
3 Correct 6 ms 7024 KB Output is correct
4 Correct 6 ms 7044 KB Output is correct
5 Correct 6 ms 7008 KB Output is correct
6 Correct 8 ms 7152 KB Output is correct
7 Correct 6 ms 7120 KB Output is correct
8 Correct 9 ms 7120 KB Output is correct
9 Correct 7 ms 7168 KB Output is correct
10 Correct 9 ms 7120 KB Output is correct
11 Correct 8 ms 7120 KB Output is correct
12 Correct 8 ms 7120 KB Output is correct
13 Correct 8 ms 7120 KB Output is correct
14 Correct 8 ms 7120 KB Output is correct
15 Correct 7 ms 7120 KB Output is correct
16 Correct 7 ms 7120 KB Output is correct
17 Correct 5 ms 7168 KB Output is correct
18 Correct 6 ms 7016 KB Output is correct
19 Correct 5 ms 7120 KB Output is correct
20 Correct 7 ms 7156 KB Output is correct
21 Correct 6 ms 7120 KB Output is correct
22 Correct 9 ms 7168 KB Output is correct
23 Correct 7 ms 7168 KB Output is correct
24 Correct 9 ms 7192 KB Output is correct
25 Correct 5 ms 6992 KB Output is correct
26 Correct 5 ms 6992 KB Output is correct
27 Correct 6 ms 6992 KB Output is correct
28 Correct 8 ms 7060 KB Output is correct
29 Correct 9 ms 7120 KB Output is correct
30 Correct 7 ms 7056 KB Output is correct
31 Correct 9 ms 7120 KB Output is correct
32 Correct 8 ms 7140 KB Output is correct
33 Correct 6 ms 6992 KB Output is correct
34 Correct 4 ms 7120 KB Output is correct
35 Correct 6 ms 7052 KB Output is correct
36 Correct 6 ms 7120 KB Output is correct
37 Correct 7 ms 7120 KB Output is correct
38 Correct 4 ms 7120 KB Output is correct
39 Correct 5 ms 7120 KB Output is correct
40 Correct 6 ms 6992 KB Output is correct
41 Correct 6 ms 6992 KB Output is correct
42 Correct 4 ms 6992 KB Output is correct
43 Correct 5 ms 6992 KB Output is correct
44 Correct 7 ms 7040 KB Output is correct
45 Correct 9 ms 7120 KB Output is correct
46 Correct 7 ms 7140 KB Output is correct
47 Correct 7 ms 7136 KB Output is correct
48 Correct 6 ms 7120 KB Output is correct
49 Correct 9 ms 7120 KB Output is correct
50 Correct 8 ms 7120 KB Output is correct
51 Correct 10 ms 7120 KB Output is correct
52 Correct 6 ms 7120 KB Output is correct
53 Correct 9 ms 7120 KB Output is correct
54 Correct 10 ms 7096 KB Output is correct
55 Correct 7 ms 7120 KB Output is correct
56 Correct 7 ms 7120 KB Output is correct
57 Correct 7 ms 7120 KB Output is correct
58 Correct 32 ms 13648 KB Output is correct
59 Correct 27 ms 15824 KB Output is correct
60 Correct 12 ms 9344 KB Output is correct
61 Correct 38 ms 15824 KB Output is correct
62 Correct 25 ms 7144 KB Output is correct
63 Correct 35 ms 15824 KB Output is correct
64 Correct 76 ms 15884 KB Output is correct
65 Correct 74 ms 15872 KB Output is correct
66 Correct 76 ms 15872 KB Output is correct
67 Correct 31 ms 15796 KB Output is correct
68 Correct 68 ms 15880 KB Output is correct
69 Correct 44 ms 15884 KB Output is correct
70 Correct 70 ms 15824 KB Output is correct
71 Correct 4 ms 6992 KB Output is correct
72 Correct 5 ms 7000 KB Output is correct
73 Correct 8 ms 7120 KB Output is correct
74 Correct 7 ms 7152 KB Output is correct
75 Correct 8 ms 7120 KB Output is correct
76 Correct 9 ms 7120 KB Output is correct
77 Correct 9 ms 7120 KB Output is correct
78 Correct 7 ms 6992 KB Output is correct
79 Correct 6 ms 6992 KB Output is correct
80 Correct 6 ms 6992 KB Output is correct
81 Correct 6 ms 7120 KB Output is correct
82 Correct 10 ms 7168 KB Output is correct
83 Correct 9 ms 7168 KB Output is correct
84 Correct 8 ms 7100 KB Output is correct
85 Correct 8 ms 7168 KB Output is correct
86 Correct 4 ms 6992 KB Output is correct
87 Correct 5 ms 7120 KB Output is correct
88 Correct 5 ms 7120 KB Output is correct
89 Correct 5 ms 7120 KB Output is correct
90 Correct 5 ms 7156 KB Output is correct
91 Correct 6 ms 7120 KB Output is correct
92 Correct 5 ms 7120 KB Output is correct
93 Correct 5 ms 7120 KB Output is correct
94 Correct 8 ms 7120 KB Output is correct
95 Correct 27 ms 15800 KB Output is correct
96 Correct 32 ms 15832 KB Output is correct
97 Correct 30 ms 15800 KB Output is correct
98 Correct 31 ms 15872 KB Output is correct
99 Correct 29 ms 15824 KB Output is correct
100 Correct 5 ms 7120 KB Output is correct
101 Correct 7 ms 9296 KB Output is correct
102 Correct 35 ms 15816 KB Output is correct
103 Correct 29 ms 15820 KB Output is correct
104 Correct 34 ms 15828 KB Output is correct
105 Correct 33 ms 15824 KB Output is correct
106 Correct 28 ms 15824 KB Output is correct
107 Correct 5 ms 7120 KB Output is correct
108 Correct 8 ms 11344 KB Output is correct
109 Correct 15 ms 15824 KB Output is correct
110 Correct 14 ms 15828 KB Output is correct
111 Correct 12 ms 15816 KB Output is correct
112 Correct 14 ms 15824 KB Output is correct
113 Correct 14 ms 15788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 6992 KB Output is correct
2 Correct 6 ms 7000 KB Output is correct
3 Correct 5 ms 6992 KB Output is correct
4 Correct 6 ms 6992 KB Output is correct
5 Correct 773 ms 784124 KB Output is correct
6 Correct 1038 ms 973496 KB Output is correct
7 Correct 489 ms 501152 KB Output is correct
8 Correct 1045 ms 973496 KB Output is correct
9 Correct 144 ms 150760 KB Output is correct
10 Correct 961 ms 973488 KB Output is correct
11 Correct 1350 ms 976424 KB Output is correct
12 Correct 1171 ms 976660 KB Output is correct
13 Correct 1252 ms 976456 KB Output is correct
14 Correct 1046 ms 973764 KB Output is correct
15 Correct 1314 ms 975244 KB Output is correct
16 Correct 1531 ms 976452 KB Output is correct
17 Correct 1410 ms 976292 KB Output is correct
18 Correct 5 ms 7040 KB Output is correct
19 Correct 5 ms 7120 KB Output is correct
20 Correct 5 ms 7120 KB Output is correct
21 Correct 5 ms 7120 KB Output is correct
22 Correct 5 ms 7120 KB Output is correct
23 Correct 5 ms 7120 KB Output is correct
24 Correct 6 ms 7120 KB Output is correct
25 Correct 5 ms 7120 KB Output is correct
26 Correct 9 ms 11384 KB Output is correct
27 Correct 12 ms 15748 KB Output is correct
28 Correct 12 ms 15860 KB Output is correct
29 Correct 12 ms 15824 KB Output is correct
30 Correct 11 ms 15824 KB Output is correct
31 Correct 12 ms 15824 KB Output is correct
32 Correct 5 ms 6992 KB Output is correct
33 Correct 1041 ms 971320 KB Output is correct
34 Correct 858 ms 973504 KB Output is correct
35 Correct 1088 ms 976528 KB Output is correct
36 Correct 916 ms 973732 KB Output is correct
37 Correct 1259 ms 975140 KB Output is correct
38 Correct 1279 ms 976608 KB Output is correct
39 Correct 7 ms 6992 KB Output is correct
40 Correct 497 ms 566500 KB Output is correct
41 Correct 905 ms 973472 KB Output is correct
42 Correct 1198 ms 976448 KB Output is correct
43 Correct 981 ms 973732 KB Output is correct
44 Correct 1291 ms 975212 KB Output is correct
45 Correct 1374 ms 976644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 6992 KB Output is correct
2 Correct 6 ms 7004 KB Output is correct
3 Correct 5 ms 6992 KB Output is correct
4 Correct 641 ms 448896 KB Output is correct
5 Correct 1774 ms 973408 KB Output is correct
6 Correct 796 ms 166032 KB Output is correct
7 Correct 1949 ms 973496 KB Output is correct
8 Correct 854 ms 337952 KB Output is correct
9 Correct 1765 ms 973388 KB Output is correct
10 Correct 2289 ms 976360 KB Output is correct
11 Correct 2463 ms 976976 KB Output is correct
12 Correct 2395 ms 976332 KB Output is correct
13 Correct 1799 ms 973664 KB Output is correct
14 Correct 2384 ms 975128 KB Output is correct
15 Correct 2198 ms 976492 KB Output is correct
16 Correct 2137 ms 976596 KB Output is correct
17 Correct 6 ms 6992 KB Output is correct
18 Correct 7 ms 6992 KB Output is correct
19 Correct 5 ms 6992 KB Output is correct
20 Correct 8 ms 7120 KB Output is correct
21 Correct 9 ms 7104 KB Output is correct
22 Correct 6 ms 7120 KB Output is correct
23 Correct 8 ms 7120 KB Output is correct
24 Correct 8 ms 7104 KB Output is correct
25 Correct 5 ms 7120 KB Output is correct
26 Correct 9 ms 9296 KB Output is correct
27 Correct 30 ms 15824 KB Output is correct
28 Correct 33 ms 15824 KB Output is correct
29 Correct 38 ms 15776 KB Output is correct
30 Correct 35 ms 15824 KB Output is correct
31 Correct 33 ms 15876 KB Output is correct
32 Correct 5 ms 6992 KB Output is correct
33 Correct 504 ms 566500 KB Output is correct
34 Correct 820 ms 973436 KB Output is correct
35 Correct 1008 ms 976408 KB Output is correct
36 Correct 776 ms 973652 KB Output is correct
37 Correct 1037 ms 975304 KB Output is correct
38 Correct 1064 ms 976756 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 6992 KB Output is correct
2 Correct 6 ms 7004 KB Output is correct
3 Correct 5 ms 6992 KB Output is correct
4 Correct 641 ms 448896 KB Output is correct
5 Correct 1774 ms 973408 KB Output is correct
6 Correct 796 ms 166032 KB Output is correct
7 Correct 1949 ms 973496 KB Output is correct
8 Correct 854 ms 337952 KB Output is correct
9 Correct 1765 ms 973388 KB Output is correct
10 Correct 2289 ms 976360 KB Output is correct
11 Correct 2463 ms 976976 KB Output is correct
12 Correct 2395 ms 976332 KB Output is correct
13 Correct 1799 ms 973664 KB Output is correct
14 Correct 2384 ms 975128 KB Output is correct
15 Correct 2198 ms 976492 KB Output is correct
16 Correct 2137 ms 976596 KB Output is correct
17 Correct 6 ms 6992 KB Output is correct
18 Correct 7 ms 6992 KB Output is correct
19 Correct 5 ms 6992 KB Output is correct
20 Correct 8 ms 7120 KB Output is correct
21 Correct 9 ms 7104 KB Output is correct
22 Correct 6 ms 7120 KB Output is correct
23 Correct 8 ms 7120 KB Output is correct
24 Correct 8 ms 7104 KB Output is correct
25 Correct 5 ms 7120 KB Output is correct
26 Correct 9 ms 9296 KB Output is correct
27 Correct 30 ms 15824 KB Output is correct
28 Correct 33 ms 15824 KB Output is correct
29 Correct 38 ms 15776 KB Output is correct
30 Correct 35 ms 15824 KB Output is correct
31 Correct 33 ms 15876 KB Output is correct
32 Correct 5 ms 6992 KB Output is correct
33 Correct 504 ms 566500 KB Output is correct
34 Correct 820 ms 973436 KB Output is correct
35 Correct 1008 ms 976408 KB Output is correct
36 Correct 776 ms 973652 KB Output is correct
37 Correct 1037 ms 975304 KB Output is correct
38 Correct 1064 ms 976756 KB Output is correct
39 Correct 4 ms 6992 KB Output is correct
40 Correct 4 ms 6992 KB Output is correct
41 Correct 5 ms 6992 KB Output is correct
42 Correct 552 ms 448840 KB Output is correct
43 Correct 1423 ms 973536 KB Output is correct
44 Correct 577 ms 165980 KB Output is correct
45 Correct 1634 ms 973432 KB Output is correct
46 Correct 708 ms 338040 KB Output is correct
47 Correct 1498 ms 973476 KB Output is correct
48 Correct 2207 ms 976400 KB Output is correct
49 Correct 2219 ms 976948 KB Output is correct
50 Correct 2307 ms 976456 KB Output is correct
51 Correct 1613 ms 973776 KB Output is correct
52 Correct 2117 ms 975212 KB Output is correct
53 Correct 1833 ms 976456 KB Output is correct
54 Correct 1844 ms 976564 KB Output is correct
55 Correct 4 ms 6992 KB Output is correct
56 Correct 857 ms 969116 KB Output is correct
57 Correct 1603 ms 973444 KB Output is correct
58 Correct 594 ms 174788 KB Output is correct
59 Correct 1670 ms 973452 KB Output is correct
60 Correct 665 ms 348916 KB Output is correct
61 Correct 1483 ms 973560 KB Output is correct
62 Correct 1890 ms 976436 KB Output is correct
63 Correct 1906 ms 976740 KB Output is correct
64 Correct 1792 ms 976544 KB Output is correct
65 Correct 1540 ms 973716 KB Output is correct
66 Correct 1961 ms 975156 KB Output is correct
67 Correct 1874 ms 976792 KB Output is correct
68 Correct 1875 ms 976432 KB Output is correct
69 Correct 6 ms 6984 KB Output is correct
70 Correct 5 ms 6992 KB Output is correct
71 Correct 6 ms 7120 KB Output is correct
72 Correct 7 ms 7120 KB Output is correct
73 Correct 8 ms 7120 KB Output is correct
74 Correct 6 ms 7120 KB Output is correct
75 Correct 6 ms 7120 KB Output is correct
76 Correct 5 ms 6992 KB Output is correct
77 Correct 4 ms 6992 KB Output is correct
78 Correct 6 ms 6992 KB Output is correct
79 Correct 6 ms 7120 KB Output is correct
80 Correct 6 ms 7120 KB Output is correct
81 Correct 5 ms 7120 KB Output is correct
82 Correct 6 ms 7120 KB Output is correct
83 Correct 6 ms 7120 KB Output is correct
84 Correct 6 ms 7120 KB Output is correct
85 Correct 7 ms 7120 KB Output is correct
86 Correct 27 ms 15832 KB Output is correct
87 Correct 28 ms 15824 KB Output is correct
88 Correct 30 ms 15824 KB Output is correct
89 Correct 30 ms 15824 KB Output is correct
90 Correct 27 ms 15824 KB Output is correct
91 Correct 4 ms 7060 KB Output is correct
92 Correct 7 ms 9264 KB Output is correct
93 Correct 21 ms 15824 KB Output is correct
94 Correct 29 ms 15824 KB Output is correct
95 Correct 28 ms 15768 KB Output is correct
96 Correct 27 ms 15824 KB Output is correct
97 Correct 22 ms 15824 KB Output is correct
98 Correct 5 ms 6992 KB Output is correct
99 Correct 882 ms 971428 KB Output is correct
100 Correct 890 ms 973444 KB Output is correct
101 Correct 1018 ms 976560 KB Output is correct
102 Correct 883 ms 973840 KB Output is correct
103 Correct 1255 ms 975152 KB Output is correct
104 Correct 1172 ms 976540 KB Output is correct
105 Correct 6 ms 7072 KB Output is correct
106 Correct 491 ms 566424 KB Output is correct
107 Correct 898 ms 973456 KB Output is correct
108 Correct 1103 ms 976384 KB Output is correct
109 Correct 899 ms 973780 KB Output is correct
110 Correct 1168 ms 975120 KB Output is correct
111 Correct 1374 ms 976596 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 6992 KB Output is correct
2 Correct 6 ms 6992 KB Output is correct
3 Correct 2037 ms 777824 KB Output is correct
4 Execution timed out 4163 ms 976512 KB Time limit exceeded
5 Halted 0 ms 0 KB -