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Submission #999357

# Submission time Handle Problem Language Result Execution time Memory
999357 2024-06-15T10:52:13 Z TAhmed33 Inside information (BOI21_servers) C++
50 / 100
 172 ms 116564 KB 
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 3e5 + 25;
const int B = 18;
int n, q;
array <int, 4> queries[MAXN];
vector <pair <int, int>> adj[MAXN];
int p[MAXN], dp[B][MAXN], dep[MAXN], top[B][MAXN], inc[B][MAXN], decr[B][MAXN];
void dfs (int pos, int par) {
	p[pos] = par;
	for (auto [j, k] : adj[pos]) {
		if (j == par) continue;
		dep[j] = 1 + dep[pos];
		dp[0][j] = pos;
		top[0][j] = k;
		inc[0][j] = 1;
		decr[0][j] = 1;
		for (int i = 1; i < B; i++) {
			dp[i][j] = dp[i - 1][dp[i - 1][j]];
			top[i][j] = top[i - 1][dp[i - 1][j]];
			inc[i][j] = inc[i - 1][j] && inc[i - 1][dp[i - 1][j]] && (top[i - 1][j] <= top[0][dp[i - 1][j]]);
			decr[i][j] = decr[i - 1][j] && decr[i - 1][dp[i - 1][j]] && (top[i - 1][j] >= top[0][dp[i - 1][j]]);
		} 
		dfs(j, pos);
	}
}
int jump (int a, int b) {
	for (int i = B - 1; i >= 0; i--) {
		if (b & (1 << i)) {
			a = dp[i][a];
		}
	}
	return a;
}
int lca (int a, int b) {
	if (dep[a] > dep[b]) swap(a, b);
	b = jump(b, dep[b] - dep[a]);
	if (a == b) return a;
	for (int i = B - 1; i >= 0; i--) {
		int x = dp[i][a], y = dp[i][b];
		if (x && y && x != y) {
			a = x, b = y;
		}
	}
	return dp[0][a];
}
pair <bool, int> check_inc (int a, int b, int x) {
	bool f = 1; int last = 0;
	for (int i = B - 1; i >= 0; i--) {
		int z = dp[i][a];
		if (!z || dep[z] <= dep[b]) continue;
		f &= inc[i][a]; f &= top[0][a] >= last;
		last = top[i][a]; a = z;
	}
	f &= top[0][a] <= x;
	f &= top[0][a] >= last;
	return {f, top[0][a]};
} 
pair <bool, int> check_decr (int a, int b, int x) {
	bool f = top[0][a] <= x; int last = 1e9;
	for (int i = B - 1; i >= 0; i--) {
		int z = dp[i][a];
		if (!z || dep[z] <= dep[b]) continue;
		f &= decr[i][a]; f &= top[0][a] <= last;
		last = top[i][a]; a = z;
	}
	f &= top[0][a] <= last;
	return {f, top[0][a]};
}
bool check (int a, int b, int x) {
	if (a == b) return 1;
	int z = lca(a, b);
	if (z == a) return check_decr(b, z, x).first;
	if (z == b) return check_inc(a, z, x).first;
	auto g = check_inc(a, z, x), h = check_decr(b, z, x);
	return g.first && h.first && g.second <= h.second;
}
void solve () {
	cin >> n >> q;
	int ee = 0;
	for (int i = 1; i <= n - 1 + q; i++) {
		char c; cin >> c;
		if (c == 'S') {	
			int x, y; cin >> x >> y;
			adj[x].push_back({y, i});
			adj[y].push_back({x, i});
		} else if (c == 'Q') {
			int x, y; cin >> x >> y;
			queries[++ee] = {1, y, x, i};
		} else {
			int x; cin >> x;
			queries[++ee] = {2, x, 0, i};
		}
	}
	dfs(1, 0);
	for (int i = 1; i <= q; i++) {
		auto g = check(queries[i][1], queries[i][2], queries[i][3]);
		cout << (g ? "yes\n" : "no\n");
	}
}		
signed main () {
	ios::sync_with_stdio(0); cin.tie(0);
	int tc = 1; //cin >> tc;
	while (tc--) solve();
}

Compilation message

servers.cpp: In function 'void dfs(int, int)':
servers.cpp:11:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   11 |  for (auto [j, k] : adj[pos]) {
      |            ^

Subtask #1
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 30 ms 95056 KB Output is correct
2 Correct 44 ms 96636 KB Output is correct
3 Correct 35 ms 96856 KB Output is correct
4 Correct 56 ms 96848 KB Output is correct
5 Correct 46 ms 97184 KB Output is correct
6 Correct 33 ms 96812 KB Output is correct

Subtask #2
0 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 30 ms 95056 KB Output is correct
2 Correct 44 ms 96636 KB Output is correct
3 Correct 35 ms 96856 KB Output is correct
4 Correct 56 ms 96848 KB Output is correct
5 Correct 46 ms 97184 KB Output is correct
6 Correct 33 ms 96812 KB Output is correct
7 Incorrect 31 ms 96080 KB Extra information in the output file
8 Halted 0 ms 0 KB -

Subtask #3
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 28 ms 95184 KB Output is correct
2 Correct 104 ms 103768 KB Output is correct
3 Correct 95 ms 103648 KB Output is correct

Subtask #4
0 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 28 ms 95184 KB Output is correct
2 Correct 104 ms 103768 KB Output is correct
3 Correct 95 ms 103648 KB Output is correct
4 Incorrect 29 ms 96080 KB Extra information in the output file
5 Halted 0 ms 0 KB -

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 95064 KB Output is correct
2 Correct 92 ms 116304 KB Output is correct
3 Correct 98 ms 116564 KB Output is correct
4 Correct 110 ms 116240 KB Output is correct

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 95064 KB Output is correct
2 Correct 92 ms 116304 KB Output is correct
3 Correct 98 ms 116564 KB Output is correct
4 Correct 110 ms 116240 KB Output is correct
5 Incorrect 25 ms 96084 KB Extra information in the output file
6 Halted 0 ms 0 KB -

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 95056 KB Output is correct
2 Correct 84 ms 104236 KB Output is correct
3 Correct 93 ms 104528 KB Output is correct

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 95056 KB Output is correct
2 Correct 84 ms 104236 KB Output is correct
3 Correct 93 ms 104528 KB Output is correct
4 Incorrect 29 ms 96092 KB Extra information in the output file
5 Halted 0 ms 0 KB -

Subtask #9
12.5 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 24 ms 95012 KB Output is correct
2 Correct 99 ms 116328 KB Output is correct
3 Correct 110 ms 116308 KB Output is correct
4 Correct 120 ms 116256 KB Output is correct
5 Correct 30 ms 96088 KB Output is correct
6 Correct 82 ms 104088 KB Output is correct
7 Correct 98 ms 104524 KB Output is correct
8 Correct 152 ms 105296 KB Output is correct
9 Correct 113 ms 104956 KB Output is correct
10 Correct 126 ms 110928 KB Output is correct
11 Correct 172 ms 109904 KB Output is correct

Subtask #10
0 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 24 ms 95012 KB Output is correct
2 Correct 99 ms 116328 KB Output is correct
3 Correct 110 ms 116308 KB Output is correct
4 Correct 120 ms 116256 KB Output is correct
5 Correct 30 ms 96088 KB Output is correct
6 Correct 82 ms 104088 KB Output is correct
7 Correct 98 ms 104524 KB Output is correct
8 Correct 152 ms 105296 KB Output is correct
9 Correct 113 ms 104956 KB Output is correct
10 Correct 126 ms 110928 KB Output is correct
11 Correct 172 ms 109904 KB Output is correct
12 Incorrect 25 ms 96092 KB Extra information in the output file
13 Halted 0 ms 0 KB -

Subtask #11
17.5 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 29 ms 95208 KB Output is correct
2 Correct 42 ms 96752 KB Output is correct
3 Correct 36 ms 96848 KB Output is correct
4 Correct 61 ms 96920 KB Output is correct
5 Correct 48 ms 97148 KB Output is correct
6 Correct 34 ms 96860 KB Output is correct
7 Correct 35 ms 96084 KB Output is correct
8 Correct 102 ms 103816 KB Output is correct
9 Correct 93 ms 103628 KB Output is correct
10 Correct 27 ms 96080 KB Output is correct
11 Correct 106 ms 116460 KB Output is correct
12 Correct 104 ms 116452 KB Output is correct
13 Correct 120 ms 116308 KB Output is correct
14 Correct 29 ms 96080 KB Output is correct
15 Correct 111 ms 104064 KB Output is correct
16 Correct 87 ms 104728 KB Output is correct
17 Correct 150 ms 105112 KB Output is correct
18 Correct 111 ms 105040 KB Output is correct
19 Correct 125 ms 110940 KB Output is correct
20 Correct 161 ms 109964 KB Output is correct
21 Correct 91 ms 104260 KB Output is correct
22 Correct 92 ms 104376 KB Output is correct
23 Correct 103 ms 104528 KB Output is correct
24 Correct 106 ms 104528 KB Output is correct
25 Correct 117 ms 107372 KB Output is correct
26 Correct 109 ms 104156 KB Output is correct
27 Correct 109 ms 104184 KB Output is correct

Subtask #12
0 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 29 ms 95208 KB Output is correct
2 Correct 42 ms 96752 KB Output is correct
3 Correct 36 ms 96848 KB Output is correct
4 Correct 61 ms 96920 KB Output is correct
5 Correct 48 ms 97148 KB Output is correct
6 Correct 34 ms 96860 KB Output is correct
7 Correct 35 ms 96084 KB Output is correct
8 Correct 102 ms 103816 KB Output is correct
9 Correct 93 ms 103628 KB Output is correct
10 Correct 27 ms 96080 KB Output is correct
11 Correct 106 ms 116460 KB Output is correct
12 Correct 104 ms 116452 KB Output is correct
13 Correct 120 ms 116308 KB Output is correct
14 Correct 29 ms 96080 KB Output is correct
15 Correct 111 ms 104064 KB Output is correct
16 Correct 87 ms 104728 KB Output is correct
17 Correct 150 ms 105112 KB Output is correct
18 Correct 111 ms 105040 KB Output is correct
19 Correct 125 ms 110940 KB Output is correct
20 Correct 161 ms 109964 KB Output is correct
21 Correct 91 ms 104260 KB Output is correct
22 Correct 92 ms 104376 KB Output is correct
23 Correct 103 ms 104528 KB Output is correct
24 Correct 106 ms 104528 KB Output is correct
25 Correct 117 ms 107372 KB Output is correct
26 Correct 109 ms 104156 KB Output is correct
27 Correct 109 ms 104184 KB Output is correct
28 Incorrect 30 ms 96084 KB Extra information in the output file
29 Halted 0 ms 0 KB -