oj.uz

Submission #540471

# Submission time Handle Problem Language Result Execution time Memory
540471 2022-03-20T13:04:50 Z elazarkoren Inside information (BOI21_servers) C++17
60 / 100
 205 ms 43924 KB 
#include <bits/stdc++.h>
#define x first
#define y second
#define all(v) v.begin(), v.end()
#define chkmin(a, b) a = min(a, b)
#define chkmax(a, b) a = max(a, b)
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> pii;
typedef vector<pii> vii;
typedef vector<bool> vb;

const int MAX_N = 3e5;
const int infinity = 1e9;

vii tree[MAX_N];

int depth[MAX_N];
pii dp[20][MAX_N];
int increase[MAX_N], decrease[MAX_N];
int loga[MAX_N];

void Dfs(int node, int parent, int w, int len_i, int len_d, int dist) {
    depth[node] = dist;
    dp[0][node] = {parent, w};
    increase[node] = len_i, decrease[node] = len_d;
    for (auto [neighbor, d] : tree[node]) {
        if (neighbor == parent) continue;
        Dfs(neighbor, node, d, (w > d ? len_i : 0) + 1, (w < d ? len_d : 0) + 1, dist + 1);
    }
}

bool Dfs(int node, int end, int w) {
    if (node == end) return true;
    for (auto [neighbor, d] : tree[node]) {
        if (d >= w) continue;
        if (Dfs(neighbor, end, d)) {
            return true;
        }
    }
    return false;
}

int Dfs(int node, int w) {
    int c = 1;
    for (auto [neighbor, d] : tree[node]) {
        if (d <= w) continue;
        c += Dfs(neighbor, d);
    }
    return c;
}

int n, q;

pii Jump(int a, int k) {
    int max_w = 0;
    for (int i = 0; i <= loga[n]; i++) {
        if ((k >> i) & 1) {
            chkmax(max_w, dp[i][a].y);
            a = dp[i][a].x;
        }
    }
    return {a, max_w};
}

int Solve(int v, int u) {
    if (u == v) return 0;
    int a = v, b = u;
    int max_w = 0;
    if (depth[a] > depth[b]) {
        pii p = Jump(a, depth[a] - depth[b]);
        a = p.x, max_w = p.y;
    } else {
        pii p = Jump(b, depth[b] - depth[a]);
        b = p.x, max_w = p.y;
    }
    bool bad = a != b;
    for (int i = loga[n]; i >= 0; i--) {
        if (dp[i][a].x != dp[i][b].x) {
            chkmax(max_w, dp[i][a].y);
            chkmax(max_w, dp[i][b].y);
            a = dp[i][a].x, b = dp[i][b].x;
        }
    }
    int dep_lca = depth[a] - bad;
    if (bad) {
        chkmax(max_w, dp[0][a].y);
        chkmax(max_w, dp[0][b].y);
    }
    if (dep_lca < depth[v] - decrease[v] || dep_lca < depth[u] - increase[u]) {
        return infinity;
    }
    return (!bad || dp[0][a].y > dp[0][b].y ? max_w : infinity);
}

int cnt[MAX_N][2];
int graph[MAX_N][2];

int Solve(vi &v, int i, int count, int d, int end) {
    int node = v[i];
    if (node == end) {
        return count + cnt[node][0] + cnt[node][1] + 1;
    }
    if (v[i + 1] == 2 * node) {
        if (graph[node][0] == -1) {
            return Solve(v, i + 1, 0, 0, end);
        }
        if (graph[node][0] > d) count = 0;
        count += (graph[node][0] < graph[node][1]) * cnt[node][1];
        count++;
        return Solve(v, i + 1, count, graph[node][0], end);
    }
    if (graph[node][1] == -1) {
        return Solve(v, i + 1, 0, 0, end);
    }
    if (graph[node][1] > d) count = 0;
    count += (graph[node][1] < graph[node][0]) * cnt[node][0];
    count++;
    return Solve(v, i + 1, count, graph[node][1], end);
}

char type[MAX_N];
int a[MAX_N], d[MAX_N], ans[MAX_N];

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cin >> n >> q;
    for (int i = 1; i <= n; i++) {
        graph[i][0] = graph[i][1] = -1;
    }
//    for (int i = 1; i <= n; i++) cnt[i] = 1;
    for (int i = 0; i < n + q - 1; i++) {
        cin >> type[i];
        if (type[i] == 'S') {
            int A, b;
            cin >> A >> b;
            tree[A].push_back({b, i});
            tree[b].push_back({A, i});
            int x = max(A, b);
            int y = min(A, b);
            graph[y][x & 1] = i;
            int last = i;
            cnt[y][x & 1]++;
            x >>= 1;
            while (x) {
                int par = x >> 1;
                int next_w = graph[par][x & 1];
                if (next_w == -1 || next_w > last) break;
                cnt[par][x & 1]++;
                x = par, last = next_w;
            }
        } else if (type[i] == 'Q') {
            cin >> a[i] >> d[i];
        } else {
            cin >> d[i];
//            vi path;
            int x = d[i];
            int count = cnt[x][0] + cnt[x][1] + 1;
            int last = graph[x >> 1][x & 1];
            if (last != -1) {
                while (x > 1) {
                    int par = x >> 1;
                    int next_w = graph[par][x & 1];
                    if (next_w == -1 || next_w < last) break;
                    count += (graph[par][x & 1] < graph[par][x & 1 ^ 1]) * cnt[par][x & 1 ^ 1];
                    count++;
//                    path.push_back(x);
                    x = par, last = next_w;
                }
            }
            ans[i] = count;
//            reverse(all(path));
//            ans[i] = Solve(path, 0, 0, 0, d[i]);
        }
    }
    for (int i = 2; i <= n; i++) {
        loga[i] = loga[i >> 1] + 1;
    }
    Dfs(1, 0, 0, 0, 0, 0);
    for (int i = 1; i <= loga[n]; i++) {
        for (int j = 1; j <= n; j++) {
            dp[i][j].x = dp[i - 1][dp[i - 1][j].x].x;
            dp[i][j].y = max(dp[i - 1][j].y, dp[i - 1][dp[i - 1][j].x].y);
        }
    }
    for (int i = 0; i < n + q - 1; i++) {
        if (type[i] == 'Q') {
            ans[i] = Solve(a[i], d[i]) <= i;
        }
    }
    for (int i = 0; i < n + q - 1; i++) {
        if (type[i] == 'Q') {
            cout << (ans[i] ? "yes\n" : "no\n");
        } else if (type[i] == 'C') {
            cout << ans[i] << '\n';
        }
    }
    return 0;
}
//5 7
//S 1 2
//S 1 3
//S 2 4
//C 1
//C 4
//S 2 5
//C 1
//C 2
//C 3
//C 4
//C 5

//5 5
//S 2 4
//S 1 3
//S 1 2
//S 2 5
//C 1
//C 2
//C 3
//C 4
//C 5

Compilation message

servers.cpp: In function 'int main()':
servers.cpp:168:64: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
  168 |                     count += (graph[par][x & 1] < graph[par][x & 1 ^ 1]) * cnt[par][x & 1 ^ 1];
      |                                                                ^
servers.cpp:168:87: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
  168 |                     count += (graph[par][x & 1] < graph[par][x & 1 ^ 1]) * cnt[par][x & 1 ^ 1];
      |                                                                                       ^

Subtask #1
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 35 ms 9292 KB Output is correct
2 Correct 36 ms 10060 KB Output is correct
3 Correct 33 ms 10056 KB Output is correct
4 Correct 42 ms 10288 KB Output is correct
5 Correct 42 ms 10356 KB Output is correct
6 Correct 34 ms 10136 KB Output is correct

Subtask #2
0 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 35 ms 9292 KB Output is correct
2 Correct 36 ms 10060 KB Output is correct
3 Correct 33 ms 10056 KB Output is correct
4 Correct 42 ms 10288 KB Output is correct
5 Correct 42 ms 10356 KB Output is correct
6 Correct 34 ms 10136 KB Output is correct
7 Incorrect 28 ms 9232 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 24 ms 9300 KB Output is correct
2 Correct 119 ms 34364 KB Output is correct
3 Correct 150 ms 34492 KB Output is correct

Subtask #4
0 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 24 ms 9300 KB Output is correct
2 Correct 119 ms 34364 KB Output is correct
3 Correct 150 ms 34492 KB Output is correct
4 Incorrect 24 ms 9320 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 9300 KB Output is correct
2 Correct 133 ms 43908 KB Output is correct
3 Correct 148 ms 43852 KB Output is correct
4 Correct 136 ms 43800 KB Output is correct

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 9300 KB Output is correct
2 Correct 133 ms 43908 KB Output is correct
3 Correct 148 ms 43852 KB Output is correct
4 Correct 136 ms 43800 KB Output is correct
5 Incorrect 24 ms 9244 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 25 ms 9316 KB Output is correct
2 Correct 130 ms 34864 KB Output is correct
3 Correct 145 ms 34700 KB Output is correct

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 9316 KB Output is correct
2 Correct 130 ms 34864 KB Output is correct
3 Correct 145 ms 34700 KB Output is correct
4 Correct 27 ms 9292 KB Output is correct
5 Correct 104 ms 34852 KB Output is correct
6 Correct 129 ms 34520 KB Output is correct

Subtask #9
12.5 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 24 ms 9268 KB Output is correct
2 Correct 129 ms 43844 KB Output is correct
3 Correct 135 ms 43820 KB Output is correct
4 Correct 134 ms 43924 KB Output is correct
5 Correct 25 ms 9360 KB Output is correct
6 Correct 113 ms 34804 KB Output is correct
7 Correct 120 ms 34712 KB Output is correct
8 Correct 171 ms 36064 KB Output is correct
9 Correct 131 ms 35560 KB Output is correct
10 Correct 151 ms 40660 KB Output is correct
11 Correct 205 ms 40012 KB Output is correct

Subtask #10
0 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 24 ms 9268 KB Output is correct
2 Correct 129 ms 43844 KB Output is correct
3 Correct 135 ms 43820 KB Output is correct
4 Correct 134 ms 43924 KB Output is correct
5 Correct 25 ms 9360 KB Output is correct
6 Correct 113 ms 34804 KB Output is correct
7 Correct 120 ms 34712 KB Output is correct
8 Correct 171 ms 36064 KB Output is correct
9 Correct 131 ms 35560 KB Output is correct
10 Correct 151 ms 40660 KB Output is correct
11 Correct 205 ms 40012 KB Output is correct
12 Incorrect 24 ms 9300 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 26 ms 9328 KB Output is correct
2 Correct 38 ms 10060 KB Output is correct
3 Correct 43 ms 10060 KB Output is correct
4 Correct 43 ms 10196 KB Output is correct
5 Correct 37 ms 10356 KB Output is correct
6 Correct 32 ms 10060 KB Output is correct
7 Correct 24 ms 9332 KB Output is correct
8 Correct 118 ms 34452 KB Output is correct
9 Correct 127 ms 34360 KB Output is correct
10 Correct 27 ms 9300 KB Output is correct
11 Correct 132 ms 43784 KB Output is correct
12 Correct 128 ms 43796 KB Output is correct
13 Correct 130 ms 43848 KB Output is correct
14 Correct 26 ms 9288 KB Output is correct
15 Correct 115 ms 34860 KB Output is correct
16 Correct 129 ms 34636 KB Output is correct
17 Correct 162 ms 36128 KB Output is correct
18 Correct 147 ms 35588 KB Output is correct
19 Correct 141 ms 40700 KB Output is correct
20 Correct 188 ms 39968 KB Output is correct
21 Correct 128 ms 35284 KB Output is correct
22 Correct 132 ms 35380 KB Output is correct
23 Correct 138 ms 35400 KB Output is correct
24 Correct 128 ms 35500 KB Output is correct
25 Correct 136 ms 37560 KB Output is correct
26 Correct 141 ms 33876 KB Output is correct
27 Correct 115 ms 33736 KB Output is correct

Subtask #12
0 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 26 ms 9328 KB Output is correct
2 Correct 38 ms 10060 KB Output is correct
3 Correct 43 ms 10060 KB Output is correct
4 Correct 43 ms 10196 KB Output is correct
5 Correct 37 ms 10356 KB Output is correct
6 Correct 32 ms 10060 KB Output is correct
7 Correct 24 ms 9332 KB Output is correct
8 Correct 118 ms 34452 KB Output is correct
9 Correct 127 ms 34360 KB Output is correct
10 Correct 27 ms 9300 KB Output is correct
11 Correct 132 ms 43784 KB Output is correct
12 Correct 128 ms 43796 KB Output is correct
13 Correct 130 ms 43848 KB Output is correct
14 Correct 26 ms 9288 KB Output is correct
15 Correct 115 ms 34860 KB Output is correct
16 Correct 129 ms 34636 KB Output is correct
17 Correct 162 ms 36128 KB Output is correct
18 Correct 147 ms 35588 KB Output is correct
19 Correct 141 ms 40700 KB Output is correct
20 Correct 188 ms 39968 KB Output is correct
21 Correct 128 ms 35284 KB Output is correct
22 Correct 132 ms 35380 KB Output is correct
23 Correct 138 ms 35400 KB Output is correct
24 Correct 128 ms 35500 KB Output is correct
25 Correct 136 ms 37560 KB Output is correct
26 Correct 141 ms 33876 KB Output is correct
27 Correct 115 ms 33736 KB Output is correct
28 Incorrect 30 ms 9312 KB Extra information in the output file
29 Halted 0 ms 0 KB -