Submission #567347

# Submission time Handle Problem Language Result Execution time Memory
567347 2022-05-23T10:44:41 Z amunduzbaev Rainforest Jumps (APIO21_jumps) C++17
77 / 100
4000 ms 884416 KB
#include "jumps.h"

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

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

const int B = 500;
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 7040 KB Output is correct
2 Correct 5 ms 6992 KB Output is correct
3 Correct 2013 ms 705768 KB Output is correct
4 Execution timed out 4077 ms 883708 KB Time limit exceeded
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 7 ms 6992 KB Output is correct
2 Correct 5 ms 7040 KB Output is correct
3 Correct 6 ms 7092 KB Output is correct
4 Correct 6 ms 6992 KB Output is correct
5 Correct 9 ms 6992 KB Output is correct
6 Correct 8 ms 7120 KB Output is correct
7 Correct 8 ms 7120 KB Output is correct
8 Correct 7 ms 7120 KB Output is correct
9 Correct 9 ms 7152 KB Output is correct
10 Correct 7 ms 7156 KB Output is correct
11 Correct 10 ms 7084 KB Output is correct
12 Correct 8 ms 7120 KB Output is correct
13 Correct 7 ms 7120 KB Output is correct
14 Correct 9 ms 7120 KB Output is correct
15 Correct 8 ms 7120 KB Output is correct
16 Correct 8 ms 7120 KB Output is correct
17 Correct 7 ms 7120 KB Output is correct
18 Correct 5 ms 6992 KB Output is correct
19 Correct 7 ms 7120 KB Output is correct
20 Correct 9 ms 7120 KB Output is correct
21 Correct 7 ms 7140 KB Output is correct
22 Correct 7 ms 7120 KB Output is correct
23 Correct 9 ms 7120 KB Output is correct
24 Correct 7 ms 7120 KB Output is correct
25 Correct 5 ms 7020 KB Output is correct
26 Correct 5 ms 6992 KB Output is correct
27 Correct 8 ms 7028 KB Output is correct
28 Correct 7 ms 7120 KB Output is correct
29 Correct 9 ms 7120 KB Output is correct
30 Correct 10 ms 7120 KB Output is correct
31 Correct 8 ms 7120 KB Output is correct
32 Correct 10 ms 7172 KB Output is correct
33 Correct 6 ms 6992 KB Output is correct
34 Correct 6 ms 7120 KB Output is correct
35 Correct 5 ms 7120 KB Output is correct
36 Correct 5 ms 7120 KB Output is correct
37 Correct 6 ms 7120 KB Output is correct
38 Correct 5 ms 7148 KB Output is correct
39 Correct 9 ms 7120 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 6992 KB Output is correct
2 Correct 5 ms 7040 KB Output is correct
3 Correct 6 ms 7092 KB Output is correct
4 Correct 6 ms 6992 KB Output is correct
5 Correct 9 ms 6992 KB Output is correct
6 Correct 8 ms 7120 KB Output is correct
7 Correct 8 ms 7120 KB Output is correct
8 Correct 7 ms 7120 KB Output is correct
9 Correct 9 ms 7152 KB Output is correct
10 Correct 7 ms 7156 KB Output is correct
11 Correct 10 ms 7084 KB Output is correct
12 Correct 8 ms 7120 KB Output is correct
13 Correct 7 ms 7120 KB Output is correct
14 Correct 9 ms 7120 KB Output is correct
15 Correct 8 ms 7120 KB Output is correct
16 Correct 8 ms 7120 KB Output is correct
17 Correct 7 ms 7120 KB Output is correct
18 Correct 5 ms 6992 KB Output is correct
19 Correct 7 ms 7120 KB Output is correct
20 Correct 9 ms 7120 KB Output is correct
21 Correct 7 ms 7140 KB Output is correct
22 Correct 7 ms 7120 KB Output is correct
23 Correct 9 ms 7120 KB Output is correct
24 Correct 7 ms 7120 KB Output is correct
25 Correct 5 ms 7020 KB Output is correct
26 Correct 5 ms 6992 KB Output is correct
27 Correct 8 ms 7028 KB Output is correct
28 Correct 7 ms 7120 KB Output is correct
29 Correct 9 ms 7120 KB Output is correct
30 Correct 10 ms 7120 KB Output is correct
31 Correct 8 ms 7120 KB Output is correct
32 Correct 10 ms 7172 KB Output is correct
33 Correct 6 ms 6992 KB Output is correct
34 Correct 6 ms 7120 KB Output is correct
35 Correct 5 ms 7120 KB Output is correct
36 Correct 5 ms 7120 KB Output is correct
37 Correct 6 ms 7120 KB Output is correct
38 Correct 5 ms 7148 KB Output is correct
39 Correct 9 ms 7120 KB Output is correct
40 Correct 5 ms 6992 KB Output is correct
41 Correct 7 ms 7052 KB Output is correct
42 Correct 7 ms 7096 KB Output is correct
43 Correct 7 ms 7072 KB Output is correct
44 Correct 7 ms 7148 KB Output is correct
45 Correct 10 ms 7120 KB Output is correct
46 Correct 8 ms 7120 KB Output is correct
47 Correct 9 ms 7120 KB Output is correct
48 Correct 7 ms 7120 KB Output is correct
49 Correct 8 ms 7040 KB Output is correct
50 Correct 10 ms 7120 KB Output is correct
51 Correct 9 ms 7140 KB Output is correct
52 Correct 6 ms 7120 KB Output is correct
53 Correct 8 ms 7148 KB Output is correct
54 Correct 7 ms 7120 KB Output is correct
55 Correct 10 ms 7120 KB Output is correct
56 Correct 8 ms 7120 KB Output is correct
57 Correct 7 ms 7120 KB Output is correct
58 Correct 27 ms 13676 KB Output is correct
59 Correct 37 ms 13844 KB Output is correct
60 Correct 11 ms 9356 KB Output is correct
61 Correct 31 ms 13812 KB Output is correct
62 Correct 19 ms 7144 KB Output is correct
63 Correct 31 ms 13748 KB Output is correct
64 Correct 61 ms 13736 KB Output is correct
65 Correct 77 ms 13776 KB Output is correct
66 Correct 68 ms 13792 KB Output is correct
67 Correct 31 ms 13776 KB Output is correct
68 Correct 75 ms 13776 KB Output is correct
69 Correct 43 ms 13812 KB Output is correct
70 Correct 68 ms 13792 KB Output is correct
71 Correct 5 ms 7148 KB Output is correct
72 Correct 5 ms 7168 KB Output is correct
73 Correct 9 ms 7056 KB Output is correct
74 Correct 8 ms 7120 KB Output is correct
75 Correct 7 ms 7132 KB Output is correct
76 Correct 6 ms 7120 KB Output is correct
77 Correct 8 ms 7064 KB Output is correct
78 Correct 5 ms 7156 KB Output is correct
79 Correct 7 ms 6992 KB Output is correct
80 Correct 5 ms 6992 KB Output is correct
81 Correct 7 ms 7120 KB Output is correct
82 Correct 7 ms 7140 KB Output is correct
83 Correct 7 ms 7140 KB Output is correct
84 Correct 8 ms 7120 KB Output is correct
85 Correct 7 ms 7168 KB Output is correct
86 Correct 7 ms 7156 KB Output is correct
87 Correct 7 ms 7120 KB Output is correct
88 Correct 5 ms 7120 KB Output is correct
89 Correct 6 ms 7120 KB Output is correct
90 Correct 5 ms 7148 KB Output is correct
91 Correct 7 ms 7120 KB Output is correct
92 Correct 7 ms 7120 KB Output is correct
93 Correct 7 ms 7120 KB Output is correct
94 Correct 9 ms 7120 KB Output is correct
95 Correct 33 ms 13824 KB Output is correct
96 Correct 41 ms 13816 KB Output is correct
97 Correct 32 ms 13776 KB Output is correct
98 Correct 32 ms 13824 KB Output is correct
99 Correct 37 ms 13824 KB Output is correct
100 Correct 6 ms 7152 KB Output is correct
101 Correct 8 ms 9344 KB Output is correct
102 Correct 36 ms 13776 KB Output is correct
103 Correct 26 ms 13776 KB Output is correct
104 Correct 36 ms 13720 KB Output is correct
105 Correct 36 ms 13824 KB Output is correct
106 Correct 38 ms 13776 KB Output is correct
107 Correct 5 ms 7120 KB Output is correct
108 Correct 7 ms 9296 KB Output is correct
109 Correct 12 ms 13824 KB Output is correct
110 Correct 14 ms 13884 KB Output is correct
111 Correct 13 ms 13824 KB Output is correct
112 Correct 11 ms 13776 KB Output is correct
113 Correct 11 ms 13776 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 6992 KB Output is correct
2 Correct 5 ms 7012 KB Output is correct
3 Correct 6 ms 6992 KB Output is correct
4 Correct 5 ms 7140 KB Output is correct
5 Correct 740 ms 710104 KB Output is correct
6 Correct 878 ms 880756 KB Output is correct
7 Correct 552 ms 453816 KB Output is correct
8 Correct 962 ms 880796 KB Output is correct
9 Correct 136 ms 138476 KB Output is correct
10 Correct 921 ms 880872 KB Output is correct
11 Correct 1315 ms 883780 KB Output is correct
12 Correct 1095 ms 884000 KB Output is correct
13 Correct 1059 ms 883872 KB Output is correct
14 Correct 1027 ms 881160 KB Output is correct
15 Correct 1246 ms 882564 KB Output is correct
16 Correct 1642 ms 883788 KB Output is correct
17 Correct 1391 ms 883732 KB Output is correct
18 Correct 6 ms 6992 KB Output is correct
19 Correct 5 ms 7168 KB Output is correct
20 Correct 5 ms 7120 KB Output is correct
21 Correct 6 ms 7120 KB Output is correct
22 Correct 7 ms 7120 KB Output is correct
23 Correct 7 ms 7056 KB Output is correct
24 Correct 7 ms 7120 KB Output is correct
25 Correct 7 ms 7120 KB Output is correct
26 Correct 8 ms 9348 KB Output is correct
27 Correct 11 ms 13776 KB Output is correct
28 Correct 15 ms 13780 KB Output is correct
29 Correct 11 ms 13868 KB Output is correct
30 Correct 14 ms 13720 KB Output is correct
31 Correct 12 ms 13764 KB Output is correct
32 Correct 6 ms 6992 KB Output is correct
33 Correct 980 ms 880816 KB Output is correct
34 Correct 989 ms 880808 KB Output is correct
35 Correct 1257 ms 883712 KB Output is correct
36 Correct 1000 ms 881092 KB Output is correct
37 Correct 1269 ms 882564 KB Output is correct
38 Correct 1352 ms 883996 KB Output is correct
39 Correct 6 ms 6992 KB Output is correct
40 Correct 528 ms 512932 KB Output is correct
41 Correct 1020 ms 880800 KB Output is correct
42 Correct 1208 ms 883896 KB Output is correct
43 Correct 1062 ms 881040 KB Output is correct
44 Correct 1254 ms 882616 KB Output is correct
45 Correct 1251 ms 883980 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 6992 KB Output is correct
2 Correct 5 ms 6992 KB Output is correct
3 Correct 5 ms 6992 KB Output is correct
4 Correct 607 ms 405728 KB Output is correct
5 Correct 1804 ms 880788 KB Output is correct
6 Correct 775 ms 149568 KB Output is correct
7 Correct 1811 ms 880780 KB Output is correct
8 Correct 693 ms 307152 KB Output is correct
9 Correct 1667 ms 880896 KB Output is correct
10 Correct 2115 ms 883728 KB Output is correct
11 Correct 2259 ms 884404 KB Output is correct
12 Correct 2000 ms 883704 KB Output is correct
13 Correct 1769 ms 881116 KB Output is correct
14 Correct 2130 ms 882588 KB Output is correct
15 Correct 2004 ms 883932 KB Output is correct
16 Correct 1916 ms 883904 KB Output is correct
17 Correct 5 ms 6992 KB Output is correct
18 Correct 5 ms 6992 KB Output is correct
19 Correct 6 ms 6992 KB Output is correct
20 Correct 6 ms 7120 KB Output is correct
21 Correct 6 ms 7076 KB Output is correct
22 Correct 6 ms 7120 KB Output is correct
23 Correct 18 ms 7120 KB Output is correct
24 Correct 6 ms 7120 KB Output is correct
25 Correct 4 ms 7120 KB Output is correct
26 Correct 7 ms 9296 KB Output is correct
27 Correct 24 ms 13776 KB Output is correct
28 Correct 26 ms 13776 KB Output is correct
29 Correct 34 ms 13816 KB Output is correct
30 Correct 34 ms 13772 KB Output is correct
31 Correct 26 ms 13776 KB Output is correct
32 Correct 4 ms 6992 KB Output is correct
33 Correct 446 ms 512924 KB Output is correct
34 Correct 821 ms 880884 KB Output is correct
35 Correct 1010 ms 883952 KB Output is correct
36 Correct 848 ms 881188 KB Output is correct
37 Correct 1064 ms 882588 KB Output is correct
38 Correct 1105 ms 883992 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 6992 KB Output is correct
2 Correct 5 ms 6992 KB Output is correct
3 Correct 5 ms 6992 KB Output is correct
4 Correct 607 ms 405728 KB Output is correct
5 Correct 1804 ms 880788 KB Output is correct
6 Correct 775 ms 149568 KB Output is correct
7 Correct 1811 ms 880780 KB Output is correct
8 Correct 693 ms 307152 KB Output is correct
9 Correct 1667 ms 880896 KB Output is correct
10 Correct 2115 ms 883728 KB Output is correct
11 Correct 2259 ms 884404 KB Output is correct
12 Correct 2000 ms 883704 KB Output is correct
13 Correct 1769 ms 881116 KB Output is correct
14 Correct 2130 ms 882588 KB Output is correct
15 Correct 2004 ms 883932 KB Output is correct
16 Correct 1916 ms 883904 KB Output is correct
17 Correct 5 ms 6992 KB Output is correct
18 Correct 5 ms 6992 KB Output is correct
19 Correct 6 ms 6992 KB Output is correct
20 Correct 6 ms 7120 KB Output is correct
21 Correct 6 ms 7076 KB Output is correct
22 Correct 6 ms 7120 KB Output is correct
23 Correct 18 ms 7120 KB Output is correct
24 Correct 6 ms 7120 KB Output is correct
25 Correct 4 ms 7120 KB Output is correct
26 Correct 7 ms 9296 KB Output is correct
27 Correct 24 ms 13776 KB Output is correct
28 Correct 26 ms 13776 KB Output is correct
29 Correct 34 ms 13816 KB Output is correct
30 Correct 34 ms 13772 KB Output is correct
31 Correct 26 ms 13776 KB Output is correct
32 Correct 4 ms 6992 KB Output is correct
33 Correct 446 ms 512924 KB Output is correct
34 Correct 821 ms 880884 KB Output is correct
35 Correct 1010 ms 883952 KB Output is correct
36 Correct 848 ms 881188 KB Output is correct
37 Correct 1064 ms 882588 KB Output is correct
38 Correct 1105 ms 883992 KB Output is correct
39 Correct 5 ms 6992 KB Output is correct
40 Correct 5 ms 6992 KB Output is correct
41 Correct 6 ms 6992 KB Output is correct
42 Correct 570 ms 405680 KB Output is correct
43 Correct 1615 ms 880792 KB Output is correct
44 Correct 771 ms 149500 KB Output is correct
45 Correct 1696 ms 880840 KB Output is correct
46 Correct 863 ms 307160 KB Output is correct
47 Correct 1754 ms 880764 KB Output is correct
48 Correct 2145 ms 883712 KB Output is correct
49 Correct 2296 ms 884416 KB Output is correct
50 Correct 2167 ms 883808 KB Output is correct
51 Correct 1717 ms 881100 KB Output is correct
52 Correct 2295 ms 882632 KB Output is correct
53 Correct 2120 ms 883856 KB Output is correct
54 Correct 2099 ms 883900 KB Output is correct
55 Correct 7 ms 7068 KB Output is correct
56 Correct 1119 ms 878572 KB Output is correct
57 Correct 1856 ms 880780 KB Output is correct
58 Correct 536 ms 160408 KB Output is correct
59 Correct 1414 ms 880776 KB Output is correct
60 Correct 651 ms 318000 KB Output is correct
61 Correct 1686 ms 880888 KB Output is correct
62 Correct 2194 ms 883728 KB Output is correct
63 Correct 2149 ms 884096 KB Output is correct
64 Correct 2125 ms 883916 KB Output is correct
65 Correct 1762 ms 881064 KB Output is correct
66 Correct 2005 ms 882616 KB Output is correct
67 Correct 2008 ms 884140 KB Output is correct
68 Correct 2133 ms 883820 KB Output is correct
69 Correct 5 ms 6992 KB Output is correct
70 Correct 7 ms 7168 KB Output is correct
71 Correct 7 ms 7120 KB Output is correct
72 Correct 6 ms 7148 KB Output is correct
73 Correct 6 ms 7120 KB Output is correct
74 Correct 7 ms 7124 KB Output is correct
75 Correct 6 ms 7120 KB Output is correct
76 Correct 6 ms 7092 KB Output is correct
77 Correct 6 ms 7108 KB Output is correct
78 Correct 6 ms 7008 KB Output is correct
79 Correct 7 ms 7116 KB Output is correct
80 Correct 10 ms 7120 KB Output is correct
81 Correct 8 ms 7120 KB Output is correct
82 Correct 7 ms 7164 KB Output is correct
83 Correct 8 ms 7140 KB Output is correct
84 Correct 7 ms 7120 KB Output is correct
85 Correct 12 ms 7120 KB Output is correct
86 Correct 33 ms 13776 KB Output is correct
87 Correct 29 ms 13776 KB Output is correct
88 Correct 30 ms 13756 KB Output is correct
89 Correct 27 ms 13756 KB Output is correct
90 Correct 34 ms 13776 KB Output is correct
91 Correct 5 ms 7140 KB Output is correct
92 Correct 7 ms 9296 KB Output is correct
93 Correct 30 ms 13776 KB Output is correct
94 Correct 38 ms 13808 KB Output is correct
95 Correct 28 ms 13844 KB Output is correct
96 Correct 34 ms 13772 KB Output is correct
97 Correct 29 ms 13732 KB Output is correct
98 Correct 7 ms 6992 KB Output is correct
99 Correct 883 ms 880784 KB Output is correct
100 Correct 866 ms 880768 KB Output is correct
101 Correct 1027 ms 883732 KB Output is correct
102 Correct 890 ms 881012 KB Output is correct
103 Correct 1128 ms 882536 KB Output is correct
104 Correct 1242 ms 883980 KB Output is correct
105 Correct 7 ms 6992 KB Output is correct
106 Correct 514 ms 512964 KB Output is correct
107 Correct 952 ms 880772 KB Output is correct
108 Correct 1150 ms 883752 KB Output is correct
109 Correct 985 ms 881156 KB Output is correct
110 Correct 1194 ms 882596 KB Output is correct
111 Correct 1192 ms 883972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 7040 KB Output is correct
2 Correct 5 ms 6992 KB Output is correct
3 Correct 2013 ms 705768 KB Output is correct
4 Execution timed out 4077 ms 883708 KB Time limit exceeded
5 Halted 0 ms 0 KB -