Submission #725993

# Submission time Handle Problem Language Result Execution time Memory
725993 2023-04-18T09:46:18 Z SanguineChameleon Rainforest Jumps (APIO21_jumps) C++17
100 / 100
1683 ms 116260 KB
#include "jumps.h"
#include <bits/stdc++.h>
using namespace std;

const int maxN = 2e5 + 20;
const int maxL = 20;
int lg[maxN];
pair<int, int> range[maxN];
pair<int, int> sparse[maxN][maxL];
pair<int, int> par[maxN][maxL];
int pos[maxN];
int ch[maxN][2];
int H[maxN];
int N;
int node_cnt;
int time_in[maxN];
int time_out[maxN];
int id[maxN];
pair<int, int> jump[maxN][maxL];
int T;

int get(int lt, int rt) {
	int k = lg[rt - lt + 1];
	return max(sparse[lt][k], sparse[rt - (1 << k) + 1][k]).second;
}

int dfs1(int lt, int rt) {
	if (lt > rt) {
		return -1;
	}
	int u = node_cnt++;
	range[u] = {lt, rt};
	int mt = get(lt, rt);
	id[mt] = u;
	pos[u] = mt;
	ch[u][0] = dfs1(lt, mt - 1);
	ch[u][1] = dfs1(mt + 1, rt);
	if (ch[u][0] != -1) {
		par[ch[u][0]][0] = {u, pos[ch[u][0]]};
	}
	if (ch[u][1] != -1) {
		par[ch[u][1]][0] = {u, pos[ch[u][1]]};
	}
	return u;
}

void dfs4(int u, int cur_0, int cur_1) {
	time_in[u] = ++T;
	if (ch[u][0] != -1) {
		jump[ch[u][0]][0] = {cur_1, max(pos[ch[u][0]], pos[u])};
		dfs4(ch[u][0], u, cur_1);
	}
	if (ch[u][1] != -1) {
		jump[ch[u][1]][0] = {cur_0, max(pos[ch[u][1]], pos[u])};
		dfs4(ch[u][1], cur_0, u);
	}
	time_out[u] = ++T;
}

bool anc(int u, int v) {
	return (u != -1 && v != -1) && (time_in[u] <= time_in[v] && time_out[v] <= time_out[u]);
}

void init(int _N, vector<int> _H) {
	for (int i = 2; i < maxN; i++) {
		lg[i] = lg[i / 2] + 1;
	}
	N = _N;
	for (int i = 0; i < N; i++) {
		H[i] = _H[i];
		sparse[i][0] = {H[i], i};
	}
	for (int k = 1; k < maxL; k++) {
		for (int i = 0; i + (1 << k) <= N; i++) {
			sparse[i][k] = max(sparse[i][k - 1], sparse[i + (1 << (k - 1))][k - 1]);
		}
	}
	dfs1(0, N - 1);
	dfs4(0, -1, -1);
	par[0][0] = {-1, -1};
	jump[0][0] = {-1, -1};
	for (int k = 1; k < maxL; k++) {
		for (int u = 0; u < N; u++) {
			int v = jump[u][k - 1].first;
			if (v == -1) {
				jump[u][k] = {-1, -1};
			}
			else {
				jump[u][k] = {jump[v][k - 1].first, max(jump[u][k - 1].second, jump[v][k - 1].second)};
			}
			v = par[u][k - 1].first;
			if (v == -1) {
				par[u][k] = {-1, -1};
			}
			else {
				par[u][k] = {par[v][k - 1].first, max(par[u][k - 1].second, par[v][k - 1].second)};
			}
		}
	}
}

int minimum_jumps(int A, int B, int C, int D) {
	int lt = A;
	int rt = B;
	int start = -1;
	while (lt <= rt) {
		int mt = (lt + rt) / 2;
		if (H[get(mt, B)] < H[get(C, D)]) {
			start = id[get(mt, B)];
			rt = mt - 1;
		}
		else {
			lt = mt + 1;
		}
	}
	int fin = id[get(C, D)];
	if (!anc(fin, start)) {
		return -1;
	}
	int cur = start;
	int res = 0;
	for (int k = maxL - 1; k >= 0; k--) {
		int nxt = jump[cur][k].first;
		int mx = jump[cur][k].second;
		if (C > mx && anc(fin, nxt)) {
			cur = nxt;
			res += (1 << k);
		}
	}
	for (int k = maxL - 1; k >= 0; k--) {
		int nxt = par[cur][k].first;
		int mx = par[cur][k].second;
		if (nxt != -1 && C > mx) {
			cur = nxt;
			res += (1 << k);
		}
	}
	return res;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1104 KB Output is correct
2 Correct 1 ms 1104 KB Output is correct
3 Correct 307 ms 92688 KB Output is correct
4 Correct 1315 ms 116152 KB Output is correct
5 Correct 1044 ms 58988 KB Output is correct
6 Correct 1436 ms 116148 KB Output is correct
7 Correct 1022 ms 79668 KB Output is correct
8 Correct 1683 ms 116156 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1104 KB Output is correct
2 Correct 1 ms 1124 KB Output is correct
3 Correct 1 ms 1104 KB Output is correct
4 Correct 1 ms 1104 KB Output is correct
5 Correct 4 ms 1104 KB Output is correct
6 Correct 3 ms 1232 KB Output is correct
7 Correct 3 ms 1104 KB Output is correct
8 Correct 3 ms 1232 KB Output is correct
9 Correct 1 ms 1104 KB Output is correct
10 Correct 4 ms 1232 KB Output is correct
11 Correct 5 ms 1232 KB Output is correct
12 Correct 4 ms 1232 KB Output is correct
13 Correct 3 ms 1232 KB Output is correct
14 Correct 2 ms 1232 KB Output is correct
15 Correct 4 ms 1232 KB Output is correct
16 Correct 3 ms 1232 KB Output is correct
17 Correct 3 ms 1232 KB Output is correct
18 Correct 1 ms 1104 KB Output is correct
19 Correct 3 ms 1104 KB Output is correct
20 Correct 2 ms 1232 KB Output is correct
21 Correct 3 ms 1232 KB Output is correct
22 Correct 3 ms 1232 KB Output is correct
23 Correct 3 ms 1232 KB Output is correct
24 Correct 3 ms 1232 KB Output is correct
25 Correct 1 ms 1104 KB Output is correct
26 Correct 1 ms 1104 KB Output is correct
27 Correct 2 ms 1104 KB Output is correct
28 Correct 4 ms 1232 KB Output is correct
29 Correct 3 ms 1232 KB Output is correct
30 Correct 2 ms 1232 KB Output is correct
31 Correct 4 ms 1232 KB Output is correct
32 Correct 4 ms 1232 KB Output is correct
33 Correct 1 ms 1104 KB Output is correct
34 Correct 1 ms 1232 KB Output is correct
35 Correct 1 ms 1232 KB Output is correct
36 Correct 1 ms 1232 KB Output is correct
37 Correct 1 ms 1232 KB Output is correct
38 Correct 1 ms 1232 KB Output is correct
39 Correct 1 ms 1232 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1104 KB Output is correct
2 Correct 1 ms 1124 KB Output is correct
3 Correct 1 ms 1104 KB Output is correct
4 Correct 1 ms 1104 KB Output is correct
5 Correct 4 ms 1104 KB Output is correct
6 Correct 3 ms 1232 KB Output is correct
7 Correct 3 ms 1104 KB Output is correct
8 Correct 3 ms 1232 KB Output is correct
9 Correct 1 ms 1104 KB Output is correct
10 Correct 4 ms 1232 KB Output is correct
11 Correct 5 ms 1232 KB Output is correct
12 Correct 4 ms 1232 KB Output is correct
13 Correct 3 ms 1232 KB Output is correct
14 Correct 2 ms 1232 KB Output is correct
15 Correct 4 ms 1232 KB Output is correct
16 Correct 3 ms 1232 KB Output is correct
17 Correct 3 ms 1232 KB Output is correct
18 Correct 1 ms 1104 KB Output is correct
19 Correct 3 ms 1104 KB Output is correct
20 Correct 2 ms 1232 KB Output is correct
21 Correct 3 ms 1232 KB Output is correct
22 Correct 3 ms 1232 KB Output is correct
23 Correct 3 ms 1232 KB Output is correct
24 Correct 3 ms 1232 KB Output is correct
25 Correct 1 ms 1104 KB Output is correct
26 Correct 1 ms 1104 KB Output is correct
27 Correct 2 ms 1104 KB Output is correct
28 Correct 4 ms 1232 KB Output is correct
29 Correct 3 ms 1232 KB Output is correct
30 Correct 2 ms 1232 KB Output is correct
31 Correct 4 ms 1232 KB Output is correct
32 Correct 4 ms 1232 KB Output is correct
33 Correct 1 ms 1104 KB Output is correct
34 Correct 1 ms 1232 KB Output is correct
35 Correct 1 ms 1232 KB Output is correct
36 Correct 1 ms 1232 KB Output is correct
37 Correct 1 ms 1232 KB Output is correct
38 Correct 1 ms 1232 KB Output is correct
39 Correct 1 ms 1232 KB Output is correct
40 Correct 1 ms 1104 KB Output is correct
41 Correct 1 ms 1104 KB Output is correct
42 Correct 1 ms 1104 KB Output is correct
43 Correct 1 ms 1104 KB Output is correct
44 Correct 3 ms 1104 KB Output is correct
45 Correct 3 ms 1232 KB Output is correct
46 Correct 2 ms 1232 KB Output is correct
47 Correct 3 ms 1232 KB Output is correct
48 Correct 2 ms 1104 KB Output is correct
49 Correct 3 ms 1232 KB Output is correct
50 Correct 3 ms 1232 KB Output is correct
51 Correct 3 ms 1232 KB Output is correct
52 Correct 3 ms 1232 KB Output is correct
53 Correct 4 ms 1232 KB Output is correct
54 Correct 3 ms 1232 KB Output is correct
55 Correct 4 ms 1232 KB Output is correct
56 Correct 3 ms 1232 KB Output is correct
57 Correct 1 ms 1232 KB Output is correct
58 Correct 8 ms 2000 KB Output is correct
59 Correct 21 ms 2148 KB Output is correct
60 Correct 7 ms 1488 KB Output is correct
61 Correct 25 ms 2128 KB Output is correct
62 Correct 9 ms 1232 KB Output is correct
63 Correct 22 ms 2128 KB Output is correct
64 Correct 24 ms 2280 KB Output is correct
65 Correct 11 ms 2280 KB Output is correct
66 Correct 18 ms 2256 KB Output is correct
67 Correct 54 ms 2140 KB Output is correct
68 Correct 32 ms 2256 KB Output is correct
69 Correct 13 ms 2256 KB Output is correct
70 Correct 10 ms 2256 KB Output is correct
71 Correct 1 ms 1104 KB Output is correct
72 Correct 1 ms 1104 KB Output is correct
73 Correct 11 ms 1232 KB Output is correct
74 Correct 3 ms 1232 KB Output is correct
75 Correct 2 ms 1232 KB Output is correct
76 Correct 3 ms 1232 KB Output is correct
77 Correct 3 ms 1232 KB Output is correct
78 Correct 1 ms 1104 KB Output is correct
79 Correct 1 ms 1104 KB Output is correct
80 Correct 6 ms 1104 KB Output is correct
81 Correct 8 ms 1232 KB Output is correct
82 Correct 4 ms 1232 KB Output is correct
83 Correct 3 ms 1232 KB Output is correct
84 Correct 4 ms 1232 KB Output is correct
85 Correct 3 ms 1232 KB Output is correct
86 Correct 1 ms 1104 KB Output is correct
87 Correct 1 ms 1232 KB Output is correct
88 Correct 1 ms 1232 KB Output is correct
89 Correct 1 ms 1232 KB Output is correct
90 Correct 1 ms 1232 KB Output is correct
91 Correct 1 ms 1232 KB Output is correct
92 Correct 1 ms 1232 KB Output is correct
93 Correct 1 ms 1232 KB Output is correct
94 Correct 5 ms 1172 KB Output is correct
95 Correct 20 ms 2128 KB Output is correct
96 Correct 24 ms 2128 KB Output is correct
97 Correct 26 ms 2128 KB Output is correct
98 Correct 26 ms 2256 KB Output is correct
99 Correct 25 ms 2256 KB Output is correct
100 Correct 1 ms 1192 KB Output is correct
101 Correct 2 ms 1488 KB Output is correct
102 Correct 19 ms 2128 KB Output is correct
103 Correct 19 ms 2256 KB Output is correct
104 Correct 17 ms 2128 KB Output is correct
105 Correct 30 ms 2256 KB Output is correct
106 Correct 19 ms 2256 KB Output is correct
107 Correct 1 ms 1232 KB Output is correct
108 Correct 9 ms 1560 KB Output is correct
109 Correct 2 ms 2128 KB Output is correct
110 Correct 2 ms 2256 KB Output is correct
111 Correct 2 ms 2128 KB Output is correct
112 Correct 2 ms 2256 KB Output is correct
113 Correct 2 ms 2256 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1104 KB Output is correct
2 Correct 1 ms 1104 KB Output is correct
3 Correct 1 ms 1104 KB Output is correct
4 Correct 1 ms 1104 KB Output is correct
5 Correct 182 ms 83552 KB Output is correct
6 Correct 203 ms 103624 KB Output is correct
7 Correct 110 ms 53612 KB Output is correct
8 Correct 180 ms 103620 KB Output is correct
9 Correct 21 ms 16504 KB Output is correct
10 Correct 223 ms 103652 KB Output is correct
11 Correct 200 ms 116152 KB Output is correct
12 Correct 195 ms 112804 KB Output is correct
13 Correct 208 ms 112464 KB Output is correct
14 Correct 303 ms 103644 KB Output is correct
15 Correct 207 ms 116032 KB Output is correct
16 Correct 237 ms 116116 KB Output is correct
17 Correct 186 ms 116148 KB Output is correct
18 Correct 1 ms 1104 KB Output is correct
19 Correct 1 ms 1232 KB Output is correct
20 Correct 2 ms 1232 KB Output is correct
21 Correct 1 ms 1232 KB Output is correct
22 Correct 1 ms 1232 KB Output is correct
23 Correct 1 ms 1232 KB Output is correct
24 Correct 1 ms 1232 KB Output is correct
25 Correct 1 ms 1232 KB Output is correct
26 Correct 1 ms 1616 KB Output is correct
27 Correct 2 ms 2128 KB Output is correct
28 Correct 2 ms 2256 KB Output is correct
29 Correct 2 ms 2128 KB Output is correct
30 Correct 2 ms 2256 KB Output is correct
31 Correct 2 ms 2288 KB Output is correct
32 Correct 1 ms 1104 KB Output is correct
33 Correct 218 ms 103328 KB Output is correct
34 Correct 194 ms 103620 KB Output is correct
35 Correct 207 ms 113228 KB Output is correct
36 Correct 186 ms 103612 KB Output is correct
37 Correct 204 ms 116144 KB Output is correct
38 Correct 213 ms 116152 KB Output is correct
39 Correct 1 ms 1104 KB Output is correct
40 Correct 125 ms 60484 KB Output is correct
41 Correct 245 ms 103632 KB Output is correct
42 Correct 176 ms 114200 KB Output is correct
43 Correct 198 ms 103612 KB Output is correct
44 Correct 199 ms 116148 KB Output is correct
45 Correct 243 ms 116156 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1104 KB Output is correct
2 Correct 1 ms 1104 KB Output is correct
3 Correct 1 ms 1104 KB Output is correct
4 Correct 281 ms 48004 KB Output is correct
5 Correct 1224 ms 103620 KB Output is correct
6 Correct 667 ms 18000 KB Output is correct
7 Correct 951 ms 103636 KB Output is correct
8 Correct 641 ms 36388 KB Output is correct
9 Correct 1104 ms 103592 KB Output is correct
10 Correct 1097 ms 116164 KB Output is correct
11 Correct 823 ms 115256 KB Output is correct
12 Correct 1194 ms 114376 KB Output is correct
13 Correct 763 ms 103628 KB Output is correct
14 Correct 746 ms 116072 KB Output is correct
15 Correct 958 ms 116040 KB Output is correct
16 Correct 1000 ms 116140 KB Output is correct
17 Correct 1 ms 1104 KB Output is correct
18 Correct 1 ms 1104 KB Output is correct
19 Correct 2 ms 1104 KB Output is correct
20 Correct 3 ms 1232 KB Output is correct
21 Correct 3 ms 1232 KB Output is correct
22 Correct 3 ms 1164 KB Output is correct
23 Correct 4 ms 1232 KB Output is correct
24 Correct 3 ms 1232 KB Output is correct
25 Correct 1 ms 1232 KB Output is correct
26 Correct 1 ms 1488 KB Output is correct
27 Correct 20 ms 2128 KB Output is correct
28 Correct 22 ms 2256 KB Output is correct
29 Correct 22 ms 2128 KB Output is correct
30 Correct 14 ms 2256 KB Output is correct
31 Correct 21 ms 2256 KB Output is correct
32 Correct 1 ms 1104 KB Output is correct
33 Correct 99 ms 60360 KB Output is correct
34 Correct 188 ms 103628 KB Output is correct
35 Correct 174 ms 114212 KB Output is correct
36 Correct 178 ms 103608 KB Output is correct
37 Correct 222 ms 116148 KB Output is correct
38 Correct 179 ms 116128 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1104 KB Output is correct
2 Correct 1 ms 1104 KB Output is correct
3 Correct 1 ms 1104 KB Output is correct
4 Correct 281 ms 48004 KB Output is correct
5 Correct 1224 ms 103620 KB Output is correct
6 Correct 667 ms 18000 KB Output is correct
7 Correct 951 ms 103636 KB Output is correct
8 Correct 641 ms 36388 KB Output is correct
9 Correct 1104 ms 103592 KB Output is correct
10 Correct 1097 ms 116164 KB Output is correct
11 Correct 823 ms 115256 KB Output is correct
12 Correct 1194 ms 114376 KB Output is correct
13 Correct 763 ms 103628 KB Output is correct
14 Correct 746 ms 116072 KB Output is correct
15 Correct 958 ms 116040 KB Output is correct
16 Correct 1000 ms 116140 KB Output is correct
17 Correct 1 ms 1104 KB Output is correct
18 Correct 1 ms 1104 KB Output is correct
19 Correct 2 ms 1104 KB Output is correct
20 Correct 3 ms 1232 KB Output is correct
21 Correct 3 ms 1232 KB Output is correct
22 Correct 3 ms 1164 KB Output is correct
23 Correct 4 ms 1232 KB Output is correct
24 Correct 3 ms 1232 KB Output is correct
25 Correct 1 ms 1232 KB Output is correct
26 Correct 1 ms 1488 KB Output is correct
27 Correct 20 ms 2128 KB Output is correct
28 Correct 22 ms 2256 KB Output is correct
29 Correct 22 ms 2128 KB Output is correct
30 Correct 14 ms 2256 KB Output is correct
31 Correct 21 ms 2256 KB Output is correct
32 Correct 1 ms 1104 KB Output is correct
33 Correct 99 ms 60360 KB Output is correct
34 Correct 188 ms 103628 KB Output is correct
35 Correct 174 ms 114212 KB Output is correct
36 Correct 178 ms 103608 KB Output is correct
37 Correct 222 ms 116148 KB Output is correct
38 Correct 179 ms 116128 KB Output is correct
39 Correct 1 ms 1104 KB Output is correct
40 Correct 1 ms 1096 KB Output is correct
41 Correct 1 ms 1104 KB Output is correct
42 Correct 301 ms 47964 KB Output is correct
43 Correct 875 ms 103752 KB Output is correct
44 Correct 621 ms 17920 KB Output is correct
45 Correct 1020 ms 103624 KB Output is correct
46 Correct 635 ms 36444 KB Output is correct
47 Correct 1120 ms 103572 KB Output is correct
48 Correct 1298 ms 116028 KB Output is correct
49 Correct 1136 ms 115104 KB Output is correct
50 Correct 921 ms 114336 KB Output is correct
51 Correct 1199 ms 103572 KB Output is correct
52 Correct 1324 ms 116116 KB Output is correct
53 Correct 1234 ms 116148 KB Output is correct
54 Correct 1107 ms 116148 KB Output is correct
55 Correct 1 ms 1104 KB Output is correct
56 Correct 245 ms 103284 KB Output is correct
57 Correct 1008 ms 103600 KB Output is correct
58 Correct 511 ms 19016 KB Output is correct
59 Correct 1155 ms 103608 KB Output is correct
60 Correct 494 ms 37536 KB Output is correct
61 Correct 871 ms 103496 KB Output is correct
62 Correct 1078 ms 116040 KB Output is correct
63 Correct 1030 ms 112932 KB Output is correct
64 Correct 1242 ms 111512 KB Output is correct
65 Correct 1136 ms 103588 KB Output is correct
66 Correct 1203 ms 116120 KB Output is correct
67 Correct 805 ms 116148 KB Output is correct
68 Correct 1018 ms 116040 KB Output is correct
69 Correct 1 ms 1104 KB Output is correct
70 Correct 1 ms 1108 KB Output is correct
71 Correct 3 ms 1232 KB Output is correct
72 Correct 3 ms 1232 KB Output is correct
73 Correct 3 ms 1232 KB Output is correct
74 Correct 3 ms 1232 KB Output is correct
75 Correct 3 ms 1232 KB Output is correct
76 Correct 1 ms 1104 KB Output is correct
77 Correct 1 ms 1104 KB Output is correct
78 Correct 2 ms 1104 KB Output is correct
79 Correct 3 ms 1232 KB Output is correct
80 Correct 3 ms 1232 KB Output is correct
81 Correct 3 ms 1232 KB Output is correct
82 Correct 2 ms 1232 KB Output is correct
83 Correct 3 ms 1232 KB Output is correct
84 Correct 1 ms 1232 KB Output is correct
85 Correct 5 ms 1232 KB Output is correct
86 Correct 21 ms 2128 KB Output is correct
87 Correct 19 ms 2128 KB Output is correct
88 Correct 20 ms 2128 KB Output is correct
89 Correct 13 ms 2256 KB Output is correct
90 Correct 21 ms 2256 KB Output is correct
91 Correct 1 ms 1232 KB Output is correct
92 Correct 2 ms 1488 KB Output is correct
93 Correct 18 ms 2128 KB Output is correct
94 Correct 23 ms 2256 KB Output is correct
95 Correct 16 ms 2164 KB Output is correct
96 Correct 22 ms 2256 KB Output is correct
97 Correct 15 ms 2256 KB Output is correct
98 Correct 1 ms 1104 KB Output is correct
99 Correct 179 ms 103460 KB Output is correct
100 Correct 201 ms 103588 KB Output is correct
101 Correct 200 ms 113324 KB Output is correct
102 Correct 176 ms 103624 KB Output is correct
103 Correct 181 ms 116132 KB Output is correct
104 Correct 199 ms 116168 KB Output is correct
105 Correct 1 ms 1104 KB Output is correct
106 Correct 100 ms 60376 KB Output is correct
107 Correct 189 ms 103624 KB Output is correct
108 Correct 208 ms 114104 KB Output is correct
109 Correct 176 ms 103584 KB Output is correct
110 Correct 179 ms 116120 KB Output is correct
111 Correct 190 ms 116020 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1104 KB Output is correct
2 Correct 1 ms 1104 KB Output is correct
3 Correct 307 ms 92688 KB Output is correct
4 Correct 1315 ms 116152 KB Output is correct
5 Correct 1044 ms 58988 KB Output is correct
6 Correct 1436 ms 116148 KB Output is correct
7 Correct 1022 ms 79668 KB Output is correct
8 Correct 1683 ms 116156 KB Output is correct
9 Correct 1 ms 1104 KB Output is correct
10 Correct 1 ms 1124 KB Output is correct
11 Correct 1 ms 1104 KB Output is correct
12 Correct 1 ms 1104 KB Output is correct
13 Correct 4 ms 1104 KB Output is correct
14 Correct 3 ms 1232 KB Output is correct
15 Correct 3 ms 1104 KB Output is correct
16 Correct 3 ms 1232 KB Output is correct
17 Correct 1 ms 1104 KB Output is correct
18 Correct 4 ms 1232 KB Output is correct
19 Correct 5 ms 1232 KB Output is correct
20 Correct 4 ms 1232 KB Output is correct
21 Correct 3 ms 1232 KB Output is correct
22 Correct 2 ms 1232 KB Output is correct
23 Correct 4 ms 1232 KB Output is correct
24 Correct 3 ms 1232 KB Output is correct
25 Correct 3 ms 1232 KB Output is correct
26 Correct 1 ms 1104 KB Output is correct
27 Correct 3 ms 1104 KB Output is correct
28 Correct 2 ms 1232 KB Output is correct
29 Correct 3 ms 1232 KB Output is correct
30 Correct 3 ms 1232 KB Output is correct
31 Correct 3 ms 1232 KB Output is correct
32 Correct 3 ms 1232 KB Output is correct
33 Correct 1 ms 1104 KB Output is correct
34 Correct 1 ms 1104 KB Output is correct
35 Correct 2 ms 1104 KB Output is correct
36 Correct 4 ms 1232 KB Output is correct
37 Correct 3 ms 1232 KB Output is correct
38 Correct 2 ms 1232 KB Output is correct
39 Correct 4 ms 1232 KB Output is correct
40 Correct 4 ms 1232 KB Output is correct
41 Correct 1 ms 1104 KB Output is correct
42 Correct 1 ms 1232 KB Output is correct
43 Correct 1 ms 1232 KB Output is correct
44 Correct 1 ms 1232 KB Output is correct
45 Correct 1 ms 1232 KB Output is correct
46 Correct 1 ms 1232 KB Output is correct
47 Correct 1 ms 1232 KB Output is correct
48 Correct 1 ms 1104 KB Output is correct
49 Correct 1 ms 1104 KB Output is correct
50 Correct 1 ms 1104 KB Output is correct
51 Correct 1 ms 1104 KB Output is correct
52 Correct 3 ms 1104 KB Output is correct
53 Correct 3 ms 1232 KB Output is correct
54 Correct 2 ms 1232 KB Output is correct
55 Correct 3 ms 1232 KB Output is correct
56 Correct 2 ms 1104 KB Output is correct
57 Correct 3 ms 1232 KB Output is correct
58 Correct 3 ms 1232 KB Output is correct
59 Correct 3 ms 1232 KB Output is correct
60 Correct 3 ms 1232 KB Output is correct
61 Correct 4 ms 1232 KB Output is correct
62 Correct 3 ms 1232 KB Output is correct
63 Correct 4 ms 1232 KB Output is correct
64 Correct 3 ms 1232 KB Output is correct
65 Correct 1 ms 1232 KB Output is correct
66 Correct 8 ms 2000 KB Output is correct
67 Correct 21 ms 2148 KB Output is correct
68 Correct 7 ms 1488 KB Output is correct
69 Correct 25 ms 2128 KB Output is correct
70 Correct 9 ms 1232 KB Output is correct
71 Correct 22 ms 2128 KB Output is correct
72 Correct 24 ms 2280 KB Output is correct
73 Correct 11 ms 2280 KB Output is correct
74 Correct 18 ms 2256 KB Output is correct
75 Correct 54 ms 2140 KB Output is correct
76 Correct 32 ms 2256 KB Output is correct
77 Correct 13 ms 2256 KB Output is correct
78 Correct 10 ms 2256 KB Output is correct
79 Correct 1 ms 1104 KB Output is correct
80 Correct 1 ms 1104 KB Output is correct
81 Correct 11 ms 1232 KB Output is correct
82 Correct 3 ms 1232 KB Output is correct
83 Correct 2 ms 1232 KB Output is correct
84 Correct 3 ms 1232 KB Output is correct
85 Correct 3 ms 1232 KB Output is correct
86 Correct 1 ms 1104 KB Output is correct
87 Correct 1 ms 1104 KB Output is correct
88 Correct 6 ms 1104 KB Output is correct
89 Correct 8 ms 1232 KB Output is correct
90 Correct 4 ms 1232 KB Output is correct
91 Correct 3 ms 1232 KB Output is correct
92 Correct 4 ms 1232 KB Output is correct
93 Correct 3 ms 1232 KB Output is correct
94 Correct 1 ms 1104 KB Output is correct
95 Correct 1 ms 1232 KB Output is correct
96 Correct 1 ms 1232 KB Output is correct
97 Correct 1 ms 1232 KB Output is correct
98 Correct 1 ms 1232 KB Output is correct
99 Correct 1 ms 1232 KB Output is correct
100 Correct 1 ms 1232 KB Output is correct
101 Correct 1 ms 1232 KB Output is correct
102 Correct 5 ms 1172 KB Output is correct
103 Correct 20 ms 2128 KB Output is correct
104 Correct 24 ms 2128 KB Output is correct
105 Correct 26 ms 2128 KB Output is correct
106 Correct 26 ms 2256 KB Output is correct
107 Correct 25 ms 2256 KB Output is correct
108 Correct 1 ms 1192 KB Output is correct
109 Correct 2 ms 1488 KB Output is correct
110 Correct 19 ms 2128 KB Output is correct
111 Correct 19 ms 2256 KB Output is correct
112 Correct 17 ms 2128 KB Output is correct
113 Correct 30 ms 2256 KB Output is correct
114 Correct 19 ms 2256 KB Output is correct
115 Correct 1 ms 1232 KB Output is correct
116 Correct 9 ms 1560 KB Output is correct
117 Correct 2 ms 2128 KB Output is correct
118 Correct 2 ms 2256 KB Output is correct
119 Correct 2 ms 2128 KB Output is correct
120 Correct 2 ms 2256 KB Output is correct
121 Correct 2 ms 2256 KB Output is correct
122 Correct 1 ms 1104 KB Output is correct
123 Correct 1 ms 1104 KB Output is correct
124 Correct 1 ms 1104 KB Output is correct
125 Correct 1 ms 1104 KB Output is correct
126 Correct 182 ms 83552 KB Output is correct
127 Correct 203 ms 103624 KB Output is correct
128 Correct 110 ms 53612 KB Output is correct
129 Correct 180 ms 103620 KB Output is correct
130 Correct 21 ms 16504 KB Output is correct
131 Correct 223 ms 103652 KB Output is correct
132 Correct 200 ms 116152 KB Output is correct
133 Correct 195 ms 112804 KB Output is correct
134 Correct 208 ms 112464 KB Output is correct
135 Correct 303 ms 103644 KB Output is correct
136 Correct 207 ms 116032 KB Output is correct
137 Correct 237 ms 116116 KB Output is correct
138 Correct 186 ms 116148 KB Output is correct
139 Correct 1 ms 1104 KB Output is correct
140 Correct 1 ms 1232 KB Output is correct
141 Correct 2 ms 1232 KB Output is correct
142 Correct 1 ms 1232 KB Output is correct
143 Correct 1 ms 1232 KB Output is correct
144 Correct 1 ms 1232 KB Output is correct
145 Correct 1 ms 1232 KB Output is correct
146 Correct 1 ms 1232 KB Output is correct
147 Correct 1 ms 1616 KB Output is correct
148 Correct 2 ms 2128 KB Output is correct
149 Correct 2 ms 2256 KB Output is correct
150 Correct 2 ms 2128 KB Output is correct
151 Correct 2 ms 2256 KB Output is correct
152 Correct 2 ms 2288 KB Output is correct
153 Correct 1 ms 1104 KB Output is correct
154 Correct 218 ms 103328 KB Output is correct
155 Correct 194 ms 103620 KB Output is correct
156 Correct 207 ms 113228 KB Output is correct
157 Correct 186 ms 103612 KB Output is correct
158 Correct 204 ms 116144 KB Output is correct
159 Correct 213 ms 116152 KB Output is correct
160 Correct 1 ms 1104 KB Output is correct
161 Correct 125 ms 60484 KB Output is correct
162 Correct 245 ms 103632 KB Output is correct
163 Correct 176 ms 114200 KB Output is correct
164 Correct 198 ms 103612 KB Output is correct
165 Correct 199 ms 116148 KB Output is correct
166 Correct 243 ms 116156 KB Output is correct
167 Correct 1 ms 1104 KB Output is correct
168 Correct 1 ms 1104 KB Output is correct
169 Correct 1 ms 1104 KB Output is correct
170 Correct 281 ms 48004 KB Output is correct
171 Correct 1224 ms 103620 KB Output is correct
172 Correct 667 ms 18000 KB Output is correct
173 Correct 951 ms 103636 KB Output is correct
174 Correct 641 ms 36388 KB Output is correct
175 Correct 1104 ms 103592 KB Output is correct
176 Correct 1097 ms 116164 KB Output is correct
177 Correct 823 ms 115256 KB Output is correct
178 Correct 1194 ms 114376 KB Output is correct
179 Correct 763 ms 103628 KB Output is correct
180 Correct 746 ms 116072 KB Output is correct
181 Correct 958 ms 116040 KB Output is correct
182 Correct 1000 ms 116140 KB Output is correct
183 Correct 1 ms 1104 KB Output is correct
184 Correct 1 ms 1104 KB Output is correct
185 Correct 2 ms 1104 KB Output is correct
186 Correct 3 ms 1232 KB Output is correct
187 Correct 3 ms 1232 KB Output is correct
188 Correct 3 ms 1164 KB Output is correct
189 Correct 4 ms 1232 KB Output is correct
190 Correct 3 ms 1232 KB Output is correct
191 Correct 1 ms 1232 KB Output is correct
192 Correct 1 ms 1488 KB Output is correct
193 Correct 20 ms 2128 KB Output is correct
194 Correct 22 ms 2256 KB Output is correct
195 Correct 22 ms 2128 KB Output is correct
196 Correct 14 ms 2256 KB Output is correct
197 Correct 21 ms 2256 KB Output is correct
198 Correct 1 ms 1104 KB Output is correct
199 Correct 99 ms 60360 KB Output is correct
200 Correct 188 ms 103628 KB Output is correct
201 Correct 174 ms 114212 KB Output is correct
202 Correct 178 ms 103608 KB Output is correct
203 Correct 222 ms 116148 KB Output is correct
204 Correct 179 ms 116128 KB Output is correct
205 Correct 1 ms 1104 KB Output is correct
206 Correct 1 ms 1096 KB Output is correct
207 Correct 1 ms 1104 KB Output is correct
208 Correct 301 ms 47964 KB Output is correct
209 Correct 875 ms 103752 KB Output is correct
210 Correct 621 ms 17920 KB Output is correct
211 Correct 1020 ms 103624 KB Output is correct
212 Correct 635 ms 36444 KB Output is correct
213 Correct 1120 ms 103572 KB Output is correct
214 Correct 1298 ms 116028 KB Output is correct
215 Correct 1136 ms 115104 KB Output is correct
216 Correct 921 ms 114336 KB Output is correct
217 Correct 1199 ms 103572 KB Output is correct
218 Correct 1324 ms 116116 KB Output is correct
219 Correct 1234 ms 116148 KB Output is correct
220 Correct 1107 ms 116148 KB Output is correct
221 Correct 1 ms 1104 KB Output is correct
222 Correct 245 ms 103284 KB Output is correct
223 Correct 1008 ms 103600 KB Output is correct
224 Correct 511 ms 19016 KB Output is correct
225 Correct 1155 ms 103608 KB Output is correct
226 Correct 494 ms 37536 KB Output is correct
227 Correct 871 ms 103496 KB Output is correct
228 Correct 1078 ms 116040 KB Output is correct
229 Correct 1030 ms 112932 KB Output is correct
230 Correct 1242 ms 111512 KB Output is correct
231 Correct 1136 ms 103588 KB Output is correct
232 Correct 1203 ms 116120 KB Output is correct
233 Correct 805 ms 116148 KB Output is correct
234 Correct 1018 ms 116040 KB Output is correct
235 Correct 1 ms 1104 KB Output is correct
236 Correct 1 ms 1108 KB Output is correct
237 Correct 3 ms 1232 KB Output is correct
238 Correct 3 ms 1232 KB Output is correct
239 Correct 3 ms 1232 KB Output is correct
240 Correct 3 ms 1232 KB Output is correct
241 Correct 3 ms 1232 KB Output is correct
242 Correct 1 ms 1104 KB Output is correct
243 Correct 1 ms 1104 KB Output is correct
244 Correct 2 ms 1104 KB Output is correct
245 Correct 3 ms 1232 KB Output is correct
246 Correct 3 ms 1232 KB Output is correct
247 Correct 3 ms 1232 KB Output is correct
248 Correct 2 ms 1232 KB Output is correct
249 Correct 3 ms 1232 KB Output is correct
250 Correct 1 ms 1232 KB Output is correct
251 Correct 5 ms 1232 KB Output is correct
252 Correct 21 ms 2128 KB Output is correct
253 Correct 19 ms 2128 KB Output is correct
254 Correct 20 ms 2128 KB Output is correct
255 Correct 13 ms 2256 KB Output is correct
256 Correct 21 ms 2256 KB Output is correct
257 Correct 1 ms 1232 KB Output is correct
258 Correct 2 ms 1488 KB Output is correct
259 Correct 18 ms 2128 KB Output is correct
260 Correct 23 ms 2256 KB Output is correct
261 Correct 16 ms 2164 KB Output is correct
262 Correct 22 ms 2256 KB Output is correct
263 Correct 15 ms 2256 KB Output is correct
264 Correct 1 ms 1104 KB Output is correct
265 Correct 179 ms 103460 KB Output is correct
266 Correct 201 ms 103588 KB Output is correct
267 Correct 200 ms 113324 KB Output is correct
268 Correct 176 ms 103624 KB Output is correct
269 Correct 181 ms 116132 KB Output is correct
270 Correct 199 ms 116168 KB Output is correct
271 Correct 1 ms 1104 KB Output is correct
272 Correct 100 ms 60376 KB Output is correct
273 Correct 189 ms 103624 KB Output is correct
274 Correct 208 ms 114104 KB Output is correct
275 Correct 176 ms 103584 KB Output is correct
276 Correct 179 ms 116120 KB Output is correct
277 Correct 190 ms 116020 KB Output is correct
278 Correct 1 ms 1104 KB Output is correct
279 Correct 1 ms 1104 KB Output is correct
280 Correct 1 ms 1092 KB Output is correct
281 Correct 291 ms 92688 KB Output is correct
282 Correct 1343 ms 116144 KB Output is correct
283 Correct 930 ms 58952 KB Output is correct
284 Correct 1201 ms 116040 KB Output is correct
285 Correct 1020 ms 79652 KB Output is correct
286 Correct 1281 ms 116128 KB Output is correct
287 Correct 1 ms 1104 KB Output is correct
288 Correct 1 ms 1104 KB Output is correct
289 Correct 1 ms 1104 KB Output is correct
290 Correct 3 ms 1096 KB Output is correct
291 Correct 3 ms 1232 KB Output is correct
292 Correct 2 ms 1104 KB Output is correct
293 Correct 3 ms 1232 KB Output is correct
294 Correct 1 ms 1104 KB Output is correct
295 Correct 2 ms 1232 KB Output is correct
296 Correct 3 ms 1148 KB Output is correct
297 Correct 3 ms 1232 KB Output is correct
298 Correct 3 ms 1232 KB Output is correct
299 Correct 3 ms 1232 KB Output is correct
300 Correct 3 ms 1232 KB Output is correct
301 Correct 3 ms 1232 KB Output is correct
302 Correct 3 ms 1232 KB Output is correct
303 Correct 1 ms 1232 KB Output is correct
304 Correct 14 ms 2000 KB Output is correct
305 Correct 19 ms 2128 KB Output is correct
306 Correct 6 ms 1488 KB Output is correct
307 Correct 22 ms 2128 KB Output is correct
308 Correct 10 ms 1232 KB Output is correct
309 Correct 10 ms 2128 KB Output is correct
310 Correct 19 ms 2256 KB Output is correct
311 Correct 18 ms 2256 KB Output is correct
312 Correct 17 ms 2256 KB Output is correct
313 Correct 20 ms 2128 KB Output is correct
314 Correct 21 ms 2256 KB Output is correct
315 Correct 21 ms 2256 KB Output is correct
316 Correct 23 ms 2256 KB Output is correct
317 Correct 1 ms 1104 KB Output is correct
318 Correct 1 ms 1104 KB Output is correct
319 Correct 1 ms 1104 KB Output is correct
320 Correct 143 ms 83504 KB Output is correct
321 Correct 179 ms 103716 KB Output is correct
322 Correct 90 ms 53648 KB Output is correct
323 Correct 178 ms 103632 KB Output is correct
324 Correct 21 ms 16464 KB Output is correct
325 Correct 193 ms 103712 KB Output is correct
326 Correct 210 ms 116024 KB Output is correct
327 Correct 173 ms 112704 KB Output is correct
328 Correct 170 ms 112408 KB Output is correct
329 Correct 183 ms 103624 KB Output is correct
330 Correct 174 ms 116260 KB Output is correct
331 Correct 187 ms 116144 KB Output is correct
332 Correct 179 ms 116040 KB Output is correct
333 Correct 1 ms 1104 KB Output is correct
334 Correct 1 ms 1104 KB Output is correct
335 Correct 1 ms 1104 KB Output is correct
336 Correct 226 ms 47944 KB Output is correct
337 Correct 1074 ms 103584 KB Output is correct
338 Correct 604 ms 18020 KB Output is correct
339 Correct 1164 ms 103576 KB Output is correct
340 Correct 533 ms 36388 KB Output is correct
341 Correct 1062 ms 103624 KB Output is correct
342 Correct 1168 ms 116148 KB Output is correct
343 Correct 1065 ms 115108 KB Output is correct
344 Correct 878 ms 114360 KB Output is correct
345 Correct 1084 ms 103632 KB Output is correct
346 Correct 1146 ms 116020 KB Output is correct
347 Correct 1008 ms 116164 KB Output is correct
348 Correct 999 ms 116144 KB Output is correct
349 Correct 1 ms 1104 KB Output is correct
350 Correct 224 ms 103200 KB Output is correct
351 Correct 1111 ms 103628 KB Output is correct
352 Correct 520 ms 19024 KB Output is correct
353 Correct 839 ms 103752 KB Output is correct
354 Correct 587 ms 37660 KB Output is correct
355 Correct 1082 ms 103628 KB Output is correct
356 Correct 1211 ms 116032 KB Output is correct
357 Correct 1122 ms 112960 KB Output is correct
358 Correct 1147 ms 111532 KB Output is correct
359 Correct 990 ms 103620 KB Output is correct
360 Correct 1210 ms 116156 KB Output is correct
361 Correct 1093 ms 116156 KB Output is correct
362 Correct 974 ms 116116 KB Output is correct
363 Correct 1 ms 1104 KB Output is correct
364 Correct 510 ms 56048 KB Output is correct
365 Correct 1114 ms 103716 KB Output is correct
366 Correct 281 ms 74440 KB Output is correct
367 Correct 1324 ms 103608 KB Output is correct
368 Correct 603 ms 43040 KB Output is correct
369 Correct 1055 ms 103608 KB Output is correct
370 Correct 1293 ms 116144 KB Output is correct
371 Correct 1175 ms 112640 KB Output is correct
372 Correct 1193 ms 112020 KB Output is correct
373 Correct 1237 ms 103580 KB Output is correct
374 Correct 1290 ms 116244 KB Output is correct
375 Correct 1057 ms 116144 KB Output is correct
376 Correct 1167 ms 116056 KB Output is correct
377 Correct 1 ms 1104 KB Output is correct
378 Correct 1 ms 1104 KB Output is correct
379 Correct 2 ms 1232 KB Output is correct
380 Correct 2 ms 1232 KB Output is correct
381 Correct 2 ms 1232 KB Output is correct
382 Correct 3 ms 1232 KB Output is correct
383 Correct 3 ms 1232 KB Output is correct
384 Correct 1 ms 1104 KB Output is correct
385 Correct 1 ms 1104 KB Output is correct
386 Correct 2 ms 1104 KB Output is correct
387 Correct 2 ms 1232 KB Output is correct
388 Correct 3 ms 1232 KB Output is correct
389 Correct 3 ms 1232 KB Output is correct
390 Correct 3 ms 1232 KB Output is correct
391 Correct 3 ms 1232 KB Output is correct
392 Correct 1 ms 1104 KB Output is correct
393 Correct 1 ms 1232 KB Output is correct
394 Correct 1 ms 1232 KB Output is correct
395 Correct 1 ms 1232 KB Output is correct
396 Correct 1 ms 1232 KB Output is correct
397 Correct 1 ms 1232 KB Output is correct
398 Correct 1 ms 1232 KB Output is correct
399 Correct 1 ms 1232 KB Output is correct
400 Correct 4 ms 1232 KB Output is correct
401 Correct 12 ms 2128 KB Output is correct
402 Correct 21 ms 2128 KB Output is correct
403 Correct 16 ms 2128 KB Output is correct
404 Correct 18 ms 2256 KB Output is correct
405 Correct 18 ms 2256 KB Output is correct
406 Correct 1 ms 1232 KB Output is correct
407 Correct 2 ms 1488 KB Output is correct
408 Correct 19 ms 2128 KB Output is correct
409 Correct 17 ms 2256 KB Output is correct
410 Correct 17 ms 2128 KB Output is correct
411 Correct 22 ms 2256 KB Output is correct
412 Correct 15 ms 2256 KB Output is correct
413 Correct 1 ms 1232 KB Output is correct
414 Correct 1 ms 1616 KB Output is correct
415 Correct 2 ms 2128 KB Output is correct
416 Correct 2 ms 2276 KB Output is correct
417 Correct 2 ms 2128 KB Output is correct
418 Correct 2 ms 2256 KB Output is correct
419 Correct 2 ms 2256 KB Output is correct
420 Correct 1 ms 1104 KB Output is correct
421 Correct 173 ms 103332 KB Output is correct
422 Correct 211 ms 103624 KB Output is correct
423 Correct 176 ms 113224 KB Output is correct
424 Correct 183 ms 103608 KB Output is correct
425 Correct 174 ms 116144 KB Output is correct
426 Correct 267 ms 116148 KB Output is correct
427 Correct 1 ms 1104 KB Output is correct
428 Correct 154 ms 60400 KB Output is correct
429 Correct 272 ms 103628 KB Output is correct
430 Correct 266 ms 114232 KB Output is correct
431 Correct 199 ms 103604 KB Output is correct
432 Correct 175 ms 116124 KB Output is correct
433 Correct 201 ms 116144 KB Output is correct