oj.uz

Submission #999269

# Submission time Handle Problem Language Result Execution time Memory
999269 2024-06-15T08:53:08 Z vjudge1 Sumtree (INOI20_sumtree) C++17
100 / 100
 707 ms 90196 KB 
#include <bits/stdc++.h>
using namespace std;
const long long mod = 1e9+7;
const int N = 4e5+10;
const int MAXNC=5e5+10;
const int LG = 20;
vector<int> g[N];
int tin[N], tout[N], tim=0;
int up[N][LG], tags[N];
long long fact[MAXNC];
int depth[N], sz[N], used[N], tagsms[N];

namespace BIT {
  int fen[N];
  void add(int at, int vl) {
    at++;
    while(at < N) {
      fen[at] += vl;
      at+=at&(-at);
    }
  }
  int query(int at) {
    at++;
    int res=0;
    while(at) {
      res+=fen[at];
      at-=at&(-at);
    }
    return res;
  }
};
void change(int x, int vl) {
  BIT::add(tin[x], vl);
  BIT::add(tout[x], -vl);
}
int query(int anc, int ch) {
  return BIT::query(tin[ch])-BIT::query(tin[anc]);
}
long long binpow(long long a, long long b) {
  long long res = 1;
  while(b) {
    if(b&1) {
      res=(res*a)%mod;
    }
    a=(a*a)%mod;
    b>>=1;
  }
  return res;
}
long long ncr(long long nn, long long rr) {
  if(rr > nn)return 0;
  if(rr < 0)return 0;
  long long res = fact[nn];
  res = (res*binpow(fact[rr], mod-2))%mod;
  res = (res*binpow(fact[nn-rr], mod-2))%mod;
  return res;
}
void dfs(int at, int p) {
  sz[at]=1;
  up[at][0] = p;
  for(int i = 1;i<LG;i++)up[at][i] = up[up[at][i-1]][i-1];
  tin[at] = tim++;
  for(int to:g[at]) {
    if(to == p)continue;
    depth[to]=depth[at]+1;
    dfs(to, at);
    sz[at]+=sz[to];
  }
  tout[at] = tim++;
}
struct DS1 {
  int fen[3*N];
  DS1() {
    for(int i = 0;i<3*N;i++)fen[i]=0;
  }
  void upd(int at, int val) {
    at++;
    while(at<3*N) {
      fen[at]+=val;
      at+=at&(-at);
    }
  }
  void update(int l, int r, int val) {
    upd(l, val);
    upd(r+1, -val);
  }
  long long get(int at) {
    at++;
    long long res=0;
    while(at) {
      res+=fen[at];
      at-=at&(-at);
    }
    return res;
  }
};
namespace HLD1 {
  DS1 ds;
  int tin[N], top[N], tim=0, par[N], V[N];
  void dfs(int at, int p, int tp) {
    tin[at]=++tim;
    top[at]=tp;
    par[at]=p;
    int big=-1;
    for(int to:g[at]) {
      if(to==p)continue;
      if(big==-1 or sz[to]>sz[big]) {
        big=to;
      }
    }
    if(big==-1)return;
    dfs(big, at, tp);
    for(int to:g[at]) {
      if(to==big or to==p)continue;
      dfs(to, at, to);
    }
  }
  int upd(int u,int v, long long val) {
    int ans=0;
    while(top[u]!=top[v]) {
     if(depth[top[u]] < depth[top[v]])swap(u,v);
     ds.update(tin[top[u]], tin[u], val);
     u=par[top[u]];
    }
    if(depth[u]>depth[v])swap(u,v);
    ds.update(tin[u], tin[v], val);
    return ans;
  }
   long long get(int u) {
    return ds.get(tin[u]);
  }
};

namespace HLD2 {
  DS1 ds;
  int tin[N], top[N], tim=0, par[N], V[N];
  void dfs(int at, int p, int tp) {
    tin[at]=++tim;
    top[at]=tp;
    par[at]=p;
    int big=-1;
    for(int to:g[at]) {
      if(to==p)continue;
      if(big==-1 or sz[to]>sz[big]) {
        big=to;
      }
    }
    if(big==-1)return;
    dfs(big, at, tp);
    for(int to:g[at]) {
      if(to==big or to==p)continue;
      dfs(to, at, to);
    }
  }
  int upd(int u,int v, int val) {
    int ans=0;
    while(top[u]!=top[v]) {
     if(depth[top[u]] < depth[top[v]])swap(u,v);
     ds.update(tin[top[u]], tin[u], val);
     u=par[top[u]];
    }
    if(depth[u]>depth[v])swap(u,v);
    ds.update(tin[u], tin[v], val);
    return ans;
  }
  int get(int u) {
    return ds.get(tin[u]);
  }
};

int findroot(int at) {
  for(int i = LG-1;i>=0;i--) {
    if(up[at][i] != 0 and query(up[at][i], at) == depth[at]-depth[up[at][i]]) {
      at = up[at][i];
    }
  }
  return at;
}

struct ANS {
  long long mult = 1;
  long long zero = 0;
  void add(long long vl) {
    if(vl == 0)
      zero++;
    else
      mult = (mult*vl)%mod;
  }
  void del(long long vl) {
    if(vl == 0) {
      zero--;
    }
    else {
      mult = (mult*binpow(vl, mod-2))%mod;
    }
  }
  long long get() {
    if(zero>0)return 0;
    return mult;
  }

};
int main () {
  cin.tie(0)->sync_with_stdio(0);
  fact[0] = 1;
  for(int i = 1;i<MAXNC;i++)fact[i] = (fact[i-1]*i)%mod;
  int n, r;
  cin >> n >> r;
  for(int i = 1;i<n;i++) {
    int u, v;
    cin >> u >> v;
    g[u].push_back(v);
    g[v].push_back(u);
  }
  dfs(1, 0);
  HLD1::dfs(1, 0, 1);
  HLD2::dfs(1, 0, 1);
  tags[1] = r;
  used[1] = 1;
  for(int i = 2;i<=n;i++){
    change(i, 1);
  }
  for(int i=  1;i<=n;i++) {
    HLD1::upd(i, i, sz[i]);
    HLD2::upd(i, i, tagsms[i]);
  }
  ANS ans;
  ans.add(ncr(n+r-1, r));
  cout << ans.get() << "\n";
  int q;
  cin >> q;
  while(q--) {
    int t;
    cin >> t;
    if(t == 1) {
      int u, v;
      cin >> u >> v;
      tags[u]=v;
      int rr = findroot(u);
      {
        long long tmp = tags[rr] - HLD2::get(rr);
        long long szz = HLD1::get(rr);
        ans.del(ncr(szz+tmp-1, tmp)); 
      }
      int par = up[u][0];
      HLD1::upd(par, rr, -HLD1::get(u));
      HLD2::upd(par, rr, v-HLD2::get(u));
//      while(1) {
//        sz[par]-=sz[u];
//        tagsms[par]-=tagsms[u];
//        tagsms[par]+=v;
//        if(par==rr)break;
//        par = up[par][0];
//      }
      {
        long long tmp = tags[u] - HLD2::get(u);
        long long szz = HLD1::get(u);
        ans.add(ncr(szz+tmp-1, tmp)); 
      }
      {
        long long tmp = tags[rr] - HLD2::get(rr);
        long long szz = HLD1::get(rr);
        ans.add(ncr(szz+tmp-1, tmp)); 
      }
      change(u, -1);
    }
    else {
      int u;
      cin >> u;
      int v = tags[u];
      change(u, 1);
      int rr = findroot(u);
      {
        long long tmp = tags[rr] - HLD2::get(rr);
        long long szz = HLD1::get(rr);
        ans.del(ncr(szz+tmp-1, tmp)); 
      }
      int par = up[u][0];
      HLD1::upd(par, rr, HLD1::get(u));
      HLD2::upd(par, rr, HLD2::get(u)-v);
//      while(1) {
//        sz[par]+=sz[u];
//        tagsms[par]+=tagsms[u];
//        tagsms[par]-=v;
//        if(par==rr)break;
//        par = up[par][0];
//      }
      {
        long long tmp = tags[u] - HLD2::get(u);
        long long szz = HLD1::get(u);
        ans.del(ncr(szz+tmp-1, tmp)); 
      }
      {
        long long tmp = tags[rr] - HLD2::get(rr);
        long long szz = HLD1::get(rr);
        ans.add(ncr(szz+tmp-1, tmp)); 
      }
    }
    cout << ans.get() << "\n";
  }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 132 ms 75088 KB Output is correct
2 Correct 130 ms 75084 KB Output is correct
3 Correct 134 ms 75092 KB Output is correct
4 Correct 162 ms 75092 KB Output is correct
5 Correct 108 ms 70984 KB Output is correct
6 Correct 9 ms 42588 KB Output is correct
7 Correct 10 ms 42588 KB Output is correct
8 Correct 9 ms 42600 KB Output is correct
9 Correct 135 ms 67412 KB Output is correct
10 Correct 127 ms 67224 KB Output is correct
11 Correct 124 ms 67412 KB Output is correct
12 Correct 116 ms 66804 KB Output is correct
13 Correct 124 ms 71880 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 42332 KB Output is correct
2 Correct 8 ms 42332 KB Output is correct
3 Correct 8 ms 42388 KB Output is correct
4 Correct 7 ms 42332 KB Output is correct
5 Correct 9 ms 42332 KB Output is correct
6 Correct 13 ms 42332 KB Output is correct
7 Correct 12 ms 42332 KB Output is correct
8 Correct 12 ms 42332 KB Output is correct
9 Correct 14 ms 42588 KB Output is correct
10 Correct 14 ms 42640 KB Output is correct
11 Correct 14 ms 42588 KB Output is correct
12 Correct 11 ms 42588 KB Output is correct
13 Correct 14 ms 42644 KB Output is correct
14 Correct 15 ms 42584 KB Output is correct
15 Correct 17 ms 42844 KB Output is correct
16 Correct 15 ms 42604 KB Output is correct
17 Correct 14 ms 42588 KB Output is correct
18 Correct 13 ms 42588 KB Output is correct
19 Correct 14 ms 42388 KB Output is correct
20 Correct 11 ms 42332 KB Output is correct
21 Correct 11 ms 42332 KB Output is correct
22 Correct 8 ms 42332 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 154 ms 74320 KB Output is correct
2 Correct 187 ms 74560 KB Output is correct
3 Correct 146 ms 75092 KB Output is correct
4 Correct 223 ms 75332 KB Output is correct
5 Correct 335 ms 72272 KB Output is correct
6 Correct 11 ms 42844 KB Output is correct
7 Correct 11 ms 42588 KB Output is correct
8 Correct 11 ms 42616 KB Output is correct
9 Correct 346 ms 68268 KB Output is correct
10 Correct 297 ms 68176 KB Output is correct
11 Correct 273 ms 68008 KB Output is correct
12 Correct 245 ms 67516 KB Output is correct
13 Correct 425 ms 87380 KB Output is correct
14 Correct 428 ms 90072 KB Output is correct
15 Correct 455 ms 90196 KB Output is correct
16 Correct 432 ms 90084 KB Output is correct
17 Correct 457 ms 90044 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 626 ms 69460 KB Output is correct
2 Correct 648 ms 69288 KB Output is correct
3 Correct 636 ms 69416 KB Output is correct
4 Correct 631 ms 69284 KB Output is correct
5 Correct 617 ms 68700 KB Output is correct
6 Correct 580 ms 69400 KB Output is correct
7 Correct 512 ms 55712 KB Output is correct
8 Correct 514 ms 55884 KB Output is correct
9 Correct 636 ms 69428 KB Output is correct
10 Correct 586 ms 69212 KB Output is correct
11 Correct 607 ms 69208 KB Output is correct
12 Correct 533 ms 55892 KB Output is correct
13 Correct 343 ms 54300 KB Output is correct
14 Correct 350 ms 54220 KB Output is correct
15 Correct 364 ms 54224 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 132 ms 75088 KB Output is correct
2 Correct 130 ms 75084 KB Output is correct
3 Correct 134 ms 75092 KB Output is correct
4 Correct 162 ms 75092 KB Output is correct
5 Correct 108 ms 70984 KB Output is correct
6 Correct 9 ms 42588 KB Output is correct
7 Correct 10 ms 42588 KB Output is correct
8 Correct 9 ms 42600 KB Output is correct
9 Correct 135 ms 67412 KB Output is correct
10 Correct 127 ms 67224 KB Output is correct
11 Correct 124 ms 67412 KB Output is correct
12 Correct 116 ms 66804 KB Output is correct
13 Correct 124 ms 71880 KB Output is correct
14 Correct 8 ms 42332 KB Output is correct
15 Correct 8 ms 42332 KB Output is correct
16 Correct 8 ms 42388 KB Output is correct
17 Correct 7 ms 42332 KB Output is correct
18 Correct 9 ms 42332 KB Output is correct
19 Correct 13 ms 42332 KB Output is correct
20 Correct 12 ms 42332 KB Output is correct
21 Correct 12 ms 42332 KB Output is correct
22 Correct 14 ms 42588 KB Output is correct
23 Correct 14 ms 42640 KB Output is correct
24 Correct 14 ms 42588 KB Output is correct
25 Correct 11 ms 42588 KB Output is correct
26 Correct 14 ms 42644 KB Output is correct
27 Correct 15 ms 42584 KB Output is correct
28 Correct 17 ms 42844 KB Output is correct
29 Correct 15 ms 42604 KB Output is correct
30 Correct 14 ms 42588 KB Output is correct
31 Correct 13 ms 42588 KB Output is correct
32 Correct 14 ms 42388 KB Output is correct
33 Correct 11 ms 42332 KB Output is correct
34 Correct 11 ms 42332 KB Output is correct
35 Correct 8 ms 42332 KB Output is correct
36 Correct 154 ms 74320 KB Output is correct
37 Correct 187 ms 74560 KB Output is correct
38 Correct 146 ms 75092 KB Output is correct
39 Correct 223 ms 75332 KB Output is correct
40 Correct 335 ms 72272 KB Output is correct
41 Correct 11 ms 42844 KB Output is correct
42 Correct 11 ms 42588 KB Output is correct
43 Correct 11 ms 42616 KB Output is correct
44 Correct 346 ms 68268 KB Output is correct
45 Correct 297 ms 68176 KB Output is correct
46 Correct 273 ms 68008 KB Output is correct
47 Correct 245 ms 67516 KB Output is correct
48 Correct 425 ms 87380 KB Output is correct
49 Correct 428 ms 90072 KB Output is correct
50 Correct 455 ms 90196 KB Output is correct
51 Correct 432 ms 90084 KB Output is correct
52 Correct 457 ms 90044 KB Output is correct
53 Correct 626 ms 69460 KB Output is correct
54 Correct 648 ms 69288 KB Output is correct
55 Correct 636 ms 69416 KB Output is correct
56 Correct 631 ms 69284 KB Output is correct
57 Correct 617 ms 68700 KB Output is correct
58 Correct 580 ms 69400 KB Output is correct
59 Correct 512 ms 55712 KB Output is correct
60 Correct 514 ms 55884 KB Output is correct
61 Correct 636 ms 69428 KB Output is correct
62 Correct 586 ms 69212 KB Output is correct
63 Correct 607 ms 69208 KB Output is correct
64 Correct 533 ms 55892 KB Output is correct
65 Correct 343 ms 54300 KB Output is correct
66 Correct 350 ms 54220 KB Output is correct
67 Correct 364 ms 54224 KB Output is correct
68 Correct 8 ms 42328 KB Output is correct
69 Correct 7 ms 42332 KB Output is correct
70 Correct 635 ms 81568 KB Output is correct
71 Correct 625 ms 81640 KB Output is correct
72 Correct 617 ms 81748 KB Output is correct
73 Correct 666 ms 81756 KB Output is correct
74 Correct 651 ms 81524 KB Output is correct
75 Correct 601 ms 77652 KB Output is correct
76 Correct 639 ms 73848 KB Output is correct
77 Correct 598 ms 73612 KB Output is correct
78 Correct 579 ms 72532 KB Output is correct
79 Correct 613 ms 77676 KB Output is correct
80 Correct 707 ms 76884 KB Output is correct
81 Correct 681 ms 77488 KB Output is correct
82 Correct 499 ms 72300 KB Output is correct
83 Correct 537 ms 81136 KB Output is correct
84 Correct 521 ms 80252 KB Output is correct
85 Correct 503 ms 80188 KB Output is correct