oj.uz

Submission #1036902

# Submission time Handle Problem Language Result Execution time Memory
1036902 2024-07-27T19:26:36 Z PM1 Sumtree (INOI20_sumtree) C++17
100 / 100
 1046 ms 237140 KB 
#include <bits/stdc++.h>
using namespace std;
#define fr first
#define sc second
#define ll long long
const int mxn=5e5+5,M=1e9+7,sz=(1<<21);
int n,r,q;
int st[mxn],fn[mxn],cnt,par[mxn],zr[mxn],bad=0,pos[mxn];
ll f[mxn],rf[mxn],ans=1;
vector<int>v[mxn];
ll ferma(ll x,ll num=M-2){
	ll res=1;
	while(num){
		if(num&1)res=(res*x)%M;
		x=(x*x)%M;
		num>>=1;
	}
	return res;
}
void dfs(int z){
	st[z]=++cnt;
	pos[cnt]=z;
	zr[z]=1;
	for(auto i:v[z]){
		if(par[z]!=i){
			par[i]=z;
			dfs(i);
			zr[z]+=zr[i];
		}
	}
	fn[z]=cnt;
}
ll comb(ll x,ll y,int z){
	if(x>y){
		bad+=z;
		return 1;
	}
	//cout<<x<<" "<<y<<'\n';
	ll res=f[y]*rf[x];
	res%=M;
	res*=rf[y-x];
	return res%M;
}
struct segment{
	int val[sz];
	int get(int id,int L,int R,int l,int r){
		if(L>=R || L>=r || l>=r || l>=R)
			return 0;
		if(L>=l && R<=r)
			return val[id];
		int mid=(L+R)>>1,res=0;
		res+=get(id<<1,L,mid,l,r);
		res+=get((id<<1)+1,mid,R,l,r);
		return res;
	}
	void add(int id,int L,int R,int l,int x){
		if(L+1==R){
			val[id]+=x;
			return ;
		}
		int mid=(L+R)>>1;
		if(l<mid)
			add(id<<1,L,mid,l,x);
		else
			add((id<<1)+1,mid,R,l,x);
		val[id]=val[id*2]+val[id*2+1];
		return ;
	}
}seg[2];
struct kirkhar{
	set<int>s[sz];
	int get(int id,int L,int R,int l){
		if(L+1==R)
			return (s[id].size())?*s[id].rbegin():0;
		int mid=(L+R)>>1,res;
		if(l<mid)
			res=get(id<<1,L,mid,l);
		else
			res=get((id<<1)+1,mid,R,l);
		if(res==0)
			return (s[id].size())?*s[id].rbegin():0;
		return res ;
	}
	void add(int id,int L,int R,int l,int r,int x,bool kos){
		if(L>=R || L>=r || l>=r || l>=R)
			return ;
		if(L>=l && R<=r){
			if(kos)
				s[id].insert(x);
			else
				s[id].erase(x);
			return ;
		}
		int mid=(L+R)>>1,res=0;
		add(id<<1,L,mid,l,r,x,kos);
		add((id<<1)+1,mid,R,l,r,x,kos);
		return ;
	}
}gg;
int main(){
	//ios::sync_with_stdio(false);
	//cin.tie(0);
	//cout.tie(0);
	cin>>n>>r;
	for(int i=1;i<n;i++){
		int x,y;
		cin>>x>>y;
		v[x].push_back(y);
		v[y].push_back(x);
	}
	dfs(1);
	f[0]=1;
	rf[0]=1;
	for(int i=1;i<=n+r;i++){
		f[i]=(f[i-1]*i)%M;
		rf[i]=ferma(f[i]);
		//cout<<f[i]<<" "<<rf[i]<<'\n';
	}
	seg[0].add(1,1,n+1,1,r);
	seg[1].add(1,1,n+1,1,n);
	gg.add(1,1,n+1,1,n+1,1,1);
	ans*=comb(n-1,n-1+r,1);
	ans%=M;
	cout<<ans<<'\n';
	cin>>q;
	while(q--){
		ll ty,x,y;
		cin>>ty>>x;
		if(ty==1){
			int ycnt=zr[x];
			cin>>y;
			ll zir=seg[0].get(1,1,n+1,st[x]+1,fn[x]+1);
			ll zircnt=seg[1].get(1,1,n+1,st[x]+1,fn[x]+1);
			y-=zir;
			ycnt-=zircnt;
			int p=gg.get(1,1,n+1,st[x]);
			p=pos[p];
			ll pre=seg[0].get(1,1,n+1,st[p],fn[p]+1)-seg[0].get(1,1,n+1,st[p]+1,fn[p]+1);
			ll precnt=seg[1].get(1,1,n+1,st[p],fn[p]+1)-seg[1].get(1,1,n+1,st[p]+1,fn[p]+1);
			ans*=ferma(comb(precnt-1,precnt-1+pre,-1));
			ans%=M;
			
			pre-=y;
			precnt-=ycnt;
			//cout<<y-zir<<" "<<ycnt-zircnt<<'\n';
			seg[0].add(1,1,n+1,st[x],y);
			seg[1].add(1,1,n+1,st[x],ycnt);
			seg[0].add(1,1,n+1,st[p],-y);
			seg[1].add(1,1,n+1,st[p],-ycnt);
			ans*=comb(precnt-1,precnt+pre-1,1);
			ans%=M;
			ans*=comb(ycnt-1,ycnt+y-1,1);
			ans%=M;
			gg.add(1,1,n+1,st[x],fn[x]+1,st[x],1);
		}
		else{
			gg.add(1,1,n+1,st[x],fn[x]+1,st[x],0);
			ll zir=seg[0].get(1,1,n+1,st[x],fn[x]+1)-seg[0].get(1,1,n+1,st[x]+1,fn[x]+1);
			ll zircnt=seg[1].get(1,1,n+1,st[x],fn[x]+1)-seg[1].get(1,1,n+1,st[x]+1,fn[x]+1);
			int p=gg.get(1,1,n+1,st[x]);
			p=pos[p];
			ll pre=seg[0].get(1,1,n+1,st[p],fn[p]+1)-seg[0].get(1,1,n+1,st[p]+1,fn[p]+1);
			ll precnt=seg[1].get(1,1,n+1,st[p],fn[p]+1)-seg[1].get(1,1,n+1,st[p]+1,fn[p]+1);
			ans*=ferma(comb(precnt-1,precnt-1+pre,-1));
			ans%=M;
			ans*=ferma(comb(zircnt-1,zircnt+zir-1,-1));
			ans%=M;
			pre+=zir;
			precnt+=zircnt;
			seg[0].add(1,1,n+1,st[x],-zir);
			seg[1].add(1,1,n+1,st[x],-zircnt);
			seg[0].add(1,1,n+1,st[p],+zir);
			seg[1].add(1,1,n+1,st[p],+zircnt);			
			ans*=comb(precnt-1,precnt+pre-1,1);
			ans%=M;
			
		}
		if(bad)
			cout<<0<<'\n';
		else
			cout<<ans<<'\n';
	}
	return 0;
 
}

Compilation message

Main.cpp: In member function 'void kirkhar::add(int, int, int, int, int, int, bool)':
Main.cpp:94:20: warning: unused variable 'res' [-Wunused-variable]
   94 |   int mid=(L+R)>>1,res=0;
      |                    ^~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 210 ms 138344 KB Output is correct
2 Correct 186 ms 136532 KB Output is correct
3 Correct 217 ms 135332 KB Output is correct
4 Correct 193 ms 137872 KB Output is correct
5 Correct 206 ms 134100 KB Output is correct
6 Correct 85 ms 115796 KB Output is correct
7 Correct 83 ms 115536 KB Output is correct
8 Correct 70 ms 113232 KB Output is correct
9 Correct 196 ms 130900 KB Output is correct
10 Correct 226 ms 131256 KB Output is correct
11 Correct 213 ms 131408 KB Output is correct
12 Correct 185 ms 127004 KB Output is correct
13 Correct 185 ms 136952 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 110676 KB Output is correct
2 Correct 44 ms 110684 KB Output is correct
3 Correct 47 ms 110676 KB Output is correct
4 Correct 45 ms 110648 KB Output is correct
5 Correct 49 ms 110672 KB Output is correct
6 Correct 53 ms 111188 KB Output is correct
7 Correct 56 ms 111312 KB Output is correct
8 Correct 57 ms 111444 KB Output is correct
9 Correct 62 ms 111584 KB Output is correct
10 Correct 68 ms 112720 KB Output is correct
11 Correct 91 ms 114388 KB Output is correct
12 Correct 87 ms 115708 KB Output is correct
13 Correct 95 ms 115540 KB Output is correct
14 Correct 91 ms 115660 KB Output is correct
15 Correct 94 ms 115792 KB Output is correct
16 Correct 94 ms 115792 KB Output is correct
17 Correct 75 ms 113492 KB Output is correct
18 Correct 91 ms 115372 KB Output is correct
19 Correct 83 ms 114928 KB Output is correct
20 Correct 57 ms 111024 KB Output is correct
21 Correct 58 ms 110932 KB Output is correct
22 Correct 51 ms 110904 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 248 ms 144464 KB Output is correct
2 Correct 309 ms 148304 KB Output is correct
3 Correct 227 ms 142420 KB Output is correct
4 Correct 425 ms 159568 KB Output is correct
5 Correct 868 ms 192336 KB Output is correct
6 Correct 90 ms 116048 KB Output is correct
7 Correct 89 ms 115540 KB Output is correct
8 Correct 67 ms 113744 KB Output is correct
9 Correct 553 ms 145980 KB Output is correct
10 Correct 488 ms 143708 KB Output is correct
11 Correct 419 ms 142900 KB Output is correct
12 Correct 504 ms 141024 KB Output is correct
13 Correct 1006 ms 237140 KB Output is correct
14 Correct 1029 ms 236948 KB Output is correct
15 Correct 993 ms 236940 KB Output is correct
16 Correct 986 ms 237136 KB Output is correct
17 Correct 917 ms 236940 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 858 ms 139048 KB Output is correct
2 Correct 773 ms 139344 KB Output is correct
3 Correct 787 ms 139184 KB Output is correct
4 Correct 778 ms 139316 KB Output is correct
5 Correct 829 ms 138416 KB Output is correct
6 Correct 741 ms 134796 KB Output is correct
7 Correct 639 ms 124520 KB Output is correct
8 Correct 734 ms 128668 KB Output is correct
9 Correct 863 ms 139020 KB Output is correct
10 Correct 720 ms 138936 KB Output is correct
11 Correct 760 ms 139156 KB Output is correct
12 Correct 650 ms 128964 KB Output is correct
13 Correct 588 ms 125764 KB Output is correct
14 Correct 639 ms 127060 KB Output is correct
15 Correct 638 ms 126804 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 210 ms 138344 KB Output is correct
2 Correct 186 ms 136532 KB Output is correct
3 Correct 217 ms 135332 KB Output is correct
4 Correct 193 ms 137872 KB Output is correct
5 Correct 206 ms 134100 KB Output is correct
6 Correct 85 ms 115796 KB Output is correct
7 Correct 83 ms 115536 KB Output is correct
8 Correct 70 ms 113232 KB Output is correct
9 Correct 196 ms 130900 KB Output is correct
10 Correct 226 ms 131256 KB Output is correct
11 Correct 213 ms 131408 KB Output is correct
12 Correct 185 ms 127004 KB Output is correct
13 Correct 185 ms 136952 KB Output is correct
14 Correct 44 ms 110676 KB Output is correct
15 Correct 44 ms 110684 KB Output is correct
16 Correct 47 ms 110676 KB Output is correct
17 Correct 45 ms 110648 KB Output is correct
18 Correct 49 ms 110672 KB Output is correct
19 Correct 53 ms 111188 KB Output is correct
20 Correct 56 ms 111312 KB Output is correct
21 Correct 57 ms 111444 KB Output is correct
22 Correct 62 ms 111584 KB Output is correct
23 Correct 68 ms 112720 KB Output is correct
24 Correct 91 ms 114388 KB Output is correct
25 Correct 87 ms 115708 KB Output is correct
26 Correct 95 ms 115540 KB Output is correct
27 Correct 91 ms 115660 KB Output is correct
28 Correct 94 ms 115792 KB Output is correct
29 Correct 94 ms 115792 KB Output is correct
30 Correct 75 ms 113492 KB Output is correct
31 Correct 91 ms 115372 KB Output is correct
32 Correct 83 ms 114928 KB Output is correct
33 Correct 57 ms 111024 KB Output is correct
34 Correct 58 ms 110932 KB Output is correct
35 Correct 51 ms 110904 KB Output is correct
36 Correct 248 ms 144464 KB Output is correct
37 Correct 309 ms 148304 KB Output is correct
38 Correct 227 ms 142420 KB Output is correct
39 Correct 425 ms 159568 KB Output is correct
40 Correct 868 ms 192336 KB Output is correct
41 Correct 90 ms 116048 KB Output is correct
42 Correct 89 ms 115540 KB Output is correct
43 Correct 67 ms 113744 KB Output is correct
44 Correct 553 ms 145980 KB Output is correct
45 Correct 488 ms 143708 KB Output is correct
46 Correct 419 ms 142900 KB Output is correct
47 Correct 504 ms 141024 KB Output is correct
48 Correct 1006 ms 237140 KB Output is correct
49 Correct 1029 ms 236948 KB Output is correct
50 Correct 993 ms 236940 KB Output is correct
51 Correct 986 ms 237136 KB Output is correct
52 Correct 917 ms 236940 KB Output is correct
53 Correct 858 ms 139048 KB Output is correct
54 Correct 773 ms 139344 KB Output is correct
55 Correct 787 ms 139184 KB Output is correct
56 Correct 778 ms 139316 KB Output is correct
57 Correct 829 ms 138416 KB Output is correct
58 Correct 741 ms 134796 KB Output is correct
59 Correct 639 ms 124520 KB Output is correct
60 Correct 734 ms 128668 KB Output is correct
61 Correct 863 ms 139020 KB Output is correct
62 Correct 720 ms 138936 KB Output is correct
63 Correct 760 ms 139156 KB Output is correct
64 Correct 650 ms 128964 KB Output is correct
65 Correct 588 ms 125764 KB Output is correct
66 Correct 639 ms 127060 KB Output is correct
67 Correct 638 ms 126804 KB Output is correct
68 Correct 49 ms 110676 KB Output is correct
69 Correct 45 ms 110676 KB Output is correct
70 Correct 815 ms 147284 KB Output is correct
71 Correct 815 ms 147168 KB Output is correct
72 Correct 804 ms 147452 KB Output is correct
73 Correct 832 ms 147300 KB Output is correct
74 Correct 966 ms 146308 KB Output is correct
75 Correct 1046 ms 143436 KB Output is correct
76 Correct 729 ms 139396 KB Output is correct
77 Correct 763 ms 139604 KB Output is correct
78 Correct 909 ms 139684 KB Output is correct
79 Correct 874 ms 142420 KB Output is correct
80 Correct 917 ms 141908 KB Output is correct
81 Correct 912 ms 142420 KB Output is correct
82 Correct 626 ms 135740 KB Output is correct
83 Correct 664 ms 142960 KB Output is correct
84 Correct 733 ms 141500 KB Output is correct
85 Correct 719 ms 142164 KB Output is correct