oj.uz

Submission #544837

# Submission time Handle Problem Language Result Execution time Memory
544837 2022-04-02T19:40:14 Z MarcoMeijer Sprinkler (JOI22_sprinkler) C++14
100 / 100
 2914 ms 166376 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

const int N = 2e5+10;

int n;
ll mod;
vector<int> adj[N];
int h[N];

// segment tree
void modify(vector<int>& seg, int l, int r, ll v) {
  int m = seg.size()/2;
  r = min(r, m-1);
  for (l += m, r += m+1; l < r; l /= 2, r/=2) {
    if (l&1) {
      seg[l] = ((ll)seg[l] * v)%mod;
      l++;
    }
    if (r&1) {
      r--;
      seg[r] = ((ll)seg[r] * v)%mod;
    }
  }
}
int query(vector<int>& seg, int p) {
  int res = 1;
  int m = seg.size()/2;
  for (p += m; p > 0; p /= 2) res = ((ll)res * (ll)seg[p])%mod;
  return res;
}

// centroid decompostion
int sz[N], rem[N];
vector<tuple<int,int,int>> centroids[N];
vector<vector<int>> seg[N];
int dfsSz(int u, int p=-1) {
  sz[u] = 1;
  for (int v : adj[u]) {
    if (rem[v] || v == p) continue;
    sz[u] += dfsSz(v, u);
  }
  return sz[u];
}
int dfsCent(int u, int p, int totSz) {
  for (int v : adj[u])
    if (!rem[v] && v != p)
      if (sz[v]*2 > totSz)
        return dfsCent(v, u, totSz);
  return u;
}
int dfs(int u, int p, int cent, int sub, int d) {
  centroids[u].push_back({cent, sub, d});
  int depth = 0;
  for (int v : adj[u])
    if (!rem[v] && v != p)
      depth = max(depth, dfs(v, u, cent, sub, d + 1));
  return depth + 1;
}
void handleCentroid(int u) {
  int sub = 0;
  int depth = 0;
  for (int v : adj[u]) {
    if (rem[v]) continue;
    int subDepth = dfs(v, u, u, sub, 1);
    depth = max(depth, subDepth+1);
    sub++;
  }
  depth = min(depth, 40);
  seg[u].resize(depth+1);
  centroids[u].push_back({u, -1, 0});
  for (int i=0; i<=depth; i++)
    seg[u][i].assign((sub+2)*2, 1);
}
void centroidDecomposition(int u) {
  dfsSz(u);
  int cent = dfsCent(u, -1, sz[u]);
  handleCentroid(cent);
  rem[cent] = 1;
  for (int v : adj[cent])
    if (!rem[v])
      centroidDecomposition(v);
}

// operations
const int SQ = 7;
void updateVertex(int u, int r, int v) {
  for (auto p : centroids[u]) {
    int cent, sub, d;
    tie(cent, sub, d) = p;
    int mx = min<int>(r-d+1, seg[cent].size());
    for (int i=0; i<mx; i++) {
      while (i + SQ < mx) i += SQ;
      if (sub == -1) {
        modify(seg[cent][i], 0, 1e9, v);
      } else {
        modify(seg[cent][i], 0, sub-1, v);
        modify(seg[cent][i], sub+1, 1e9, v);
      }
    }
  }
}
int queryVertex(int u) {
  int res = 1;
  auto add = [&](int x) {
    res = ((ll)res * (ll)x)%mod;
  };

  for (auto p : centroids[u]) {
    int cent, sub, d;
    tie(cent, sub, d) = p;
    if (d < seg[cent].size())
      add(query(seg[cent][d], sub));
    for (int i=0; i<seg[cent].size(); i+=SQ)
      if (i > d)
        add(query(seg[cent][i], sub));
  }
  return res;
}

int main() {
  // read graph
  cin >> n >> mod;
  for (int i=0; i<n-1; i++) {
    int u, v; cin >> u >> v;
    adj[u].push_back(v);
    adj[v].push_back(u);
  }

  // centroid decomposition
  centroidDecomposition(1);

  // initial state
  for (int i=1; i<=n; i++) cin >> h[i];
  for (int i=1; i<=n; i++) updateVertex(i, 0, h[i]);

  // answer queries
  int q; cin >> q;
  while (q--) {
    int t; cin >> t;
    if (t == 1) {
      int x, d, w; cin >> x >> d >> w;
      updateVertex(x, d, w);
    }
    if (t == 2) {
      int x; cin >> x;
      cout << queryVertex(x) << endl;
    }
  }
}

Compilation message

sprinkler.cpp: In function 'int queryVertex(int)':
sprinkler.cpp:114:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  114 |     if (d < seg[cent].size())
      |         ~~^~~~~~~~~~~~~~~~~~
sprinkler.cpp:116:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  116 |     for (int i=0; i<seg[cent].size(); i+=SQ)
      |                   ~^~~~~~~~~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14292 KB Output is correct
2 Correct 8 ms 14292 KB Output is correct
3 Correct 7 ms 14292 KB Output is correct
4 Correct 12 ms 14932 KB Output is correct
5 Correct 11 ms 14788 KB Output is correct
6 Correct 15 ms 14632 KB Output is correct
7 Correct 14 ms 14900 KB Output is correct
8 Correct 10 ms 14480 KB Output is correct
9 Correct 10 ms 14292 KB Output is correct
10 Correct 8 ms 14412 KB Output is correct
11 Correct 8 ms 14292 KB Output is correct
12 Correct 8 ms 14420 KB Output is correct
13 Correct 8 ms 14292 KB Output is correct
14 Correct 8 ms 14292 KB Output is correct
15 Correct 9 ms 14292 KB Output is correct
16 Correct 8 ms 14292 KB Output is correct
17 Correct 9 ms 14292 KB Output is correct
18 Correct 10 ms 14292 KB Output is correct
19 Correct 8 ms 14292 KB Output is correct
20 Correct 8 ms 14292 KB Output is correct
21 Correct 9 ms 14292 KB Output is correct
22 Correct 8 ms 14292 KB Output is correct
23 Correct 9 ms 14292 KB Output is correct
24 Correct 8 ms 14292 KB Output is correct
25 Correct 8 ms 14292 KB Output is correct
26 Correct 10 ms 14292 KB Output is correct
27 Correct 8 ms 14292 KB Output is correct
28 Correct 9 ms 14292 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14292 KB Output is correct
2 Correct 2368 ms 107644 KB Output is correct
3 Correct 1783 ms 104320 KB Output is correct
4 Correct 2366 ms 163552 KB Output is correct
5 Correct 1980 ms 105848 KB Output is correct
6 Correct 1742 ms 95392 KB Output is correct
7 Correct 1604 ms 85636 KB Output is correct
8 Correct 1126 ms 49308 KB Output is correct
9 Correct 2583 ms 166376 KB Output is correct
10 Correct 2087 ms 162260 KB Output is correct
11 Correct 2233 ms 107512 KB Output is correct
12 Correct 1762 ms 104464 KB Output is correct
13 Correct 943 ms 55376 KB Output is correct
14 Correct 1074 ms 59736 KB Output is correct
15 Correct 1112 ms 63436 KB Output is correct
16 Correct 1116 ms 66616 KB Output is correct
17 Correct 1231 ms 69584 KB Output is correct
18 Correct 9 ms 14292 KB Output is correct
19 Correct 8 ms 14292 KB Output is correct
20 Correct 9 ms 14292 KB Output is correct
21 Correct 8 ms 14292 KB Output is correct
22 Correct 8 ms 14292 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14292 KB Output is correct
2 Correct 2368 ms 107644 KB Output is correct
3 Correct 1783 ms 104320 KB Output is correct
4 Correct 2366 ms 163552 KB Output is correct
5 Correct 1980 ms 105848 KB Output is correct
6 Correct 1742 ms 95392 KB Output is correct
7 Correct 1604 ms 85636 KB Output is correct
8 Correct 1126 ms 49308 KB Output is correct
9 Correct 2583 ms 166376 KB Output is correct
10 Correct 2087 ms 162260 KB Output is correct
11 Correct 2233 ms 107512 KB Output is correct
12 Correct 1762 ms 104464 KB Output is correct
13 Correct 943 ms 55376 KB Output is correct
14 Correct 1074 ms 59736 KB Output is correct
15 Correct 1112 ms 63436 KB Output is correct
16 Correct 1116 ms 66616 KB Output is correct
17 Correct 1231 ms 69584 KB Output is correct
18 Correct 9 ms 14292 KB Output is correct
19 Correct 8 ms 14292 KB Output is correct
20 Correct 9 ms 14292 KB Output is correct
21 Correct 8 ms 14292 KB Output is correct
22 Correct 8 ms 14292 KB Output is correct
23 Correct 7 ms 14292 KB Output is correct
24 Correct 2254 ms 107640 KB Output is correct
25 Correct 1769 ms 104264 KB Output is correct
26 Correct 2357 ms 164288 KB Output is correct
27 Correct 2041 ms 105856 KB Output is correct
28 Correct 1811 ms 95292 KB Output is correct
29 Correct 1569 ms 85544 KB Output is correct
30 Correct 1140 ms 49392 KB Output is correct
31 Correct 2550 ms 165152 KB Output is correct
32 Correct 2050 ms 162496 KB Output is correct
33 Correct 2198 ms 107576 KB Output is correct
34 Correct 1727 ms 104396 KB Output is correct
35 Correct 8 ms 14420 KB Output is correct
36 Correct 8 ms 14292 KB Output is correct
37 Correct 8 ms 14360 KB Output is correct
38 Correct 8 ms 14420 KB Output is correct
39 Correct 8 ms 14420 KB Output is correct
40 Correct 8 ms 14292 KB Output is correct
41 Correct 9 ms 14332 KB Output is correct
42 Correct 9 ms 14320 KB Output is correct
43 Correct 8 ms 14292 KB Output is correct
44 Correct 8 ms 14404 KB Output is correct
45 Correct 8 ms 14420 KB Output is correct
46 Correct 9 ms 14292 KB Output is correct
47 Correct 10 ms 14292 KB Output is correct
48 Correct 9 ms 14292 KB Output is correct
49 Correct 8 ms 14292 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14292 KB Output is correct
2 Correct 2633 ms 163604 KB Output is correct
3 Correct 2514 ms 162028 KB Output is correct
4 Correct 2500 ms 162200 KB Output is correct
5 Correct 2157 ms 104380 KB Output is correct
6 Correct 1949 ms 91864 KB Output is correct
7 Correct 1819 ms 83236 KB Output is correct
8 Correct 1198 ms 47708 KB Output is correct
9 Correct 2593 ms 162552 KB Output is correct
10 Correct 2522 ms 161660 KB Output is correct
11 Correct 2273 ms 104868 KB Output is correct
12 Correct 2130 ms 104452 KB Output is correct
13 Correct 2249 ms 84024 KB Output is correct
14 Correct 2272 ms 85796 KB Output is correct
15 Correct 8 ms 14292 KB Output is correct
16 Correct 8 ms 14300 KB Output is correct
17 Correct 9 ms 14332 KB Output is correct
18 Correct 9 ms 14292 KB Output is correct
19 Correct 8 ms 14292 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 14400 KB Output is correct
2 Correct 2656 ms 165184 KB Output is correct
3 Correct 2729 ms 161996 KB Output is correct
4 Correct 2914 ms 163404 KB Output is correct
5 Correct 2443 ms 105924 KB Output is correct
6 Correct 2048 ms 94848 KB Output is correct
7 Correct 1846 ms 86332 KB Output is correct
8 Correct 1230 ms 49156 KB Output is correct
9 Correct 2783 ms 165452 KB Output is correct
10 Correct 2684 ms 162632 KB Output is correct
11 Correct 2451 ms 107336 KB Output is correct
12 Correct 2296 ms 104492 KB Output is correct
13 Correct 2283 ms 84428 KB Output is correct
14 Correct 2383 ms 85892 KB Output is correct
15 Correct 10 ms 14408 KB Output is correct
16 Correct 9 ms 14420 KB Output is correct
17 Correct 9 ms 14292 KB Output is correct
18 Correct 9 ms 14292 KB Output is correct
19 Correct 9 ms 14292 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 14292 KB Output is correct
2 Correct 8 ms 14292 KB Output is correct
3 Correct 7 ms 14292 KB Output is correct
4 Correct 12 ms 14932 KB Output is correct
5 Correct 11 ms 14788 KB Output is correct
6 Correct 15 ms 14632 KB Output is correct
7 Correct 14 ms 14900 KB Output is correct
8 Correct 10 ms 14480 KB Output is correct
9 Correct 10 ms 14292 KB Output is correct
10 Correct 8 ms 14412 KB Output is correct
11 Correct 8 ms 14292 KB Output is correct
12 Correct 8 ms 14420 KB Output is correct
13 Correct 8 ms 14292 KB Output is correct
14 Correct 8 ms 14292 KB Output is correct
15 Correct 9 ms 14292 KB Output is correct
16 Correct 8 ms 14292 KB Output is correct
17 Correct 9 ms 14292 KB Output is correct
18 Correct 10 ms 14292 KB Output is correct
19 Correct 8 ms 14292 KB Output is correct
20 Correct 8 ms 14292 KB Output is correct
21 Correct 9 ms 14292 KB Output is correct
22 Correct 8 ms 14292 KB Output is correct
23 Correct 9 ms 14292 KB Output is correct
24 Correct 8 ms 14292 KB Output is correct
25 Correct 8 ms 14292 KB Output is correct
26 Correct 10 ms 14292 KB Output is correct
27 Correct 8 ms 14292 KB Output is correct
28 Correct 9 ms 14292 KB Output is correct
29 Correct 8 ms 14292 KB Output is correct
30 Correct 2368 ms 107644 KB Output is correct
31 Correct 1783 ms 104320 KB Output is correct
32 Correct 2366 ms 163552 KB Output is correct
33 Correct 1980 ms 105848 KB Output is correct
34 Correct 1742 ms 95392 KB Output is correct
35 Correct 1604 ms 85636 KB Output is correct
36 Correct 1126 ms 49308 KB Output is correct
37 Correct 2583 ms 166376 KB Output is correct
38 Correct 2087 ms 162260 KB Output is correct
39 Correct 2233 ms 107512 KB Output is correct
40 Correct 1762 ms 104464 KB Output is correct
41 Correct 943 ms 55376 KB Output is correct
42 Correct 1074 ms 59736 KB Output is correct
43 Correct 1112 ms 63436 KB Output is correct
44 Correct 1116 ms 66616 KB Output is correct
45 Correct 1231 ms 69584 KB Output is correct
46 Correct 9 ms 14292 KB Output is correct
47 Correct 8 ms 14292 KB Output is correct
48 Correct 9 ms 14292 KB Output is correct
49 Correct 8 ms 14292 KB Output is correct
50 Correct 8 ms 14292 KB Output is correct
51 Correct 7 ms 14292 KB Output is correct
52 Correct 2254 ms 107640 KB Output is correct
53 Correct 1769 ms 104264 KB Output is correct
54 Correct 2357 ms 164288 KB Output is correct
55 Correct 2041 ms 105856 KB Output is correct
56 Correct 1811 ms 95292 KB Output is correct
57 Correct 1569 ms 85544 KB Output is correct
58 Correct 1140 ms 49392 KB Output is correct
59 Correct 2550 ms 165152 KB Output is correct
60 Correct 2050 ms 162496 KB Output is correct
61 Correct 2198 ms 107576 KB Output is correct
62 Correct 1727 ms 104396 KB Output is correct
63 Correct 8 ms 14420 KB Output is correct
64 Correct 8 ms 14292 KB Output is correct
65 Correct 8 ms 14360 KB Output is correct
66 Correct 8 ms 14420 KB Output is correct
67 Correct 8 ms 14420 KB Output is correct
68 Correct 8 ms 14292 KB Output is correct
69 Correct 9 ms 14332 KB Output is correct
70 Correct 9 ms 14320 KB Output is correct
71 Correct 8 ms 14292 KB Output is correct
72 Correct 8 ms 14404 KB Output is correct
73 Correct 8 ms 14420 KB Output is correct
74 Correct 9 ms 14292 KB Output is correct
75 Correct 10 ms 14292 KB Output is correct
76 Correct 9 ms 14292 KB Output is correct
77 Correct 8 ms 14292 KB Output is correct
78 Correct 7 ms 14292 KB Output is correct
79 Correct 2633 ms 163604 KB Output is correct
80 Correct 2514 ms 162028 KB Output is correct
81 Correct 2500 ms 162200 KB Output is correct
82 Correct 2157 ms 104380 KB Output is correct
83 Correct 1949 ms 91864 KB Output is correct
84 Correct 1819 ms 83236 KB Output is correct
85 Correct 1198 ms 47708 KB Output is correct
86 Correct 2593 ms 162552 KB Output is correct
87 Correct 2522 ms 161660 KB Output is correct
88 Correct 2273 ms 104868 KB Output is correct
89 Correct 2130 ms 104452 KB Output is correct
90 Correct 2249 ms 84024 KB Output is correct
91 Correct 2272 ms 85796 KB Output is correct
92 Correct 8 ms 14292 KB Output is correct
93 Correct 8 ms 14300 KB Output is correct
94 Correct 9 ms 14332 KB Output is correct
95 Correct 9 ms 14292 KB Output is correct
96 Correct 8 ms 14292 KB Output is correct
97 Correct 9 ms 14400 KB Output is correct
98 Correct 2656 ms 165184 KB Output is correct
99 Correct 2729 ms 161996 KB Output is correct
100 Correct 2914 ms 163404 KB Output is correct
101 Correct 2443 ms 105924 KB Output is correct
102 Correct 2048 ms 94848 KB Output is correct
103 Correct 1846 ms 86332 KB Output is correct
104 Correct 1230 ms 49156 KB Output is correct
105 Correct 2783 ms 165452 KB Output is correct
106 Correct 2684 ms 162632 KB Output is correct
107 Correct 2451 ms 107336 KB Output is correct
108 Correct 2296 ms 104492 KB Output is correct
109 Correct 2283 ms 84428 KB Output is correct
110 Correct 2383 ms 85892 KB Output is correct
111 Correct 10 ms 14408 KB Output is correct
112 Correct 9 ms 14420 KB Output is correct
113 Correct 9 ms 14292 KB Output is correct
114 Correct 9 ms 14292 KB Output is correct
115 Correct 9 ms 14292 KB Output is correct
116 Correct 2368 ms 105492 KB Output is correct
117 Correct 2321 ms 104236 KB Output is correct
118 Correct 2616 ms 164080 KB Output is correct
119 Correct 2260 ms 105936 KB Output is correct
120 Correct 2025 ms 92700 KB Output is correct
121 Correct 2025 ms 87516 KB Output is correct
122 Correct 1306 ms 49272 KB Output is correct
123 Correct 2736 ms 165292 KB Output is correct
124 Correct 2649 ms 162228 KB Output is correct
125 Correct 2347 ms 107040 KB Output is correct
126 Correct 2316 ms 104672 KB Output is correct
127 Correct 2376 ms 104332 KB Output is correct
128 Correct 2532 ms 84420 KB Output is correct
129 Correct 2612 ms 85608 KB Output is correct