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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#242059#7607. The Doubling Game 2Jryno1WA 10ms52412kbC++142.2kb2023-11-06 21:57:142023-11-06 21:57:14

Judging History

你现在查看的是最新测评结果

  • [2023-11-06 21:57:14]
  • 评测
  • 测评结果:WA
  • 用时:10ms
  • 内存:52412kb
  • [2023-11-06 21:57:14]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
//thanks for sinsop
#define int long long 
const int maxn=6e5+10,mod=1e9+7;
int n,lg[maxn],ans[maxn],siz[maxn];//ans:don't move
vector<int>UPF[maxn],DOWF[maxn];
//UPF:x -> fat  DOWF:fat -> x
vector<int>ed[maxn];
bool cmp(int x,int y){
	return siz[x]<siz[y];
}
void dfs(int x,int fat){
	vector<int>V;
	siz[x]=1;
	for(int i=0;i<ed[x].size();i++){
		int v=ed[x][i];
		if(v==fat)continue;
		dfs(v,x);
		siz[x]+=siz[v];
		V.push_back(v);
	}
	sort(V.begin(),V.end(),cmp);
	int sz=1;
	vector<int>UP(2),DOW(2);
	UP[0]=1;
	//UP:all sons go up(or don't); DOW:I went down
	for(auto v:V){
		if(v==fat)continue;
		vector<int>F(1<<UPF[v].size()+1),G(1<<UPF[v].size()+1);
		for(int S=0;S<sz;S++){
			//the son doesn't go up(or down) at all
			F[S]=(F[S]+UP[S]*ans[v]%mod)%mod;
			G[S]=(G[S]+DOW[S]*ans[v]%mod)%mod;
			//the son go up
			for(int k=0;k<UPF[v].size();k++){
				if((1<<k)&S)continue;
				F[S|(1<<k)]+=UPF[v][k]*UP[S]%mod;
				F[S|(1<<k)]%=mod;
				if(S>(1<<k)){
					G[S|(1<<k)]+=UPF[v][k]*DOW[S]%mod;//no effect(this one must go up)
					G[S|(1<<k)]%=mod;
				} else {
					G[S|(1<<k)]+=DOWF[v][k]*UP[S]%mod;//this one must go down
					G[S|(1<<k)]%=mod;
				}
			}
		}
		swap(F,UP),swap(G,DOW);
		sz=(1<<UPF[v].size());
		vector<int>().swap(F),vector<int>().swap(G);
	}
//	cout<<x<<" "<<sz<<endl;
	sz=lg[sz];
	UPF[x].resize(sz+1),DOWF[x].resize(sz+1);
	for(int i=0;i<=sz;i++){
		int S=(1<<i)-1;//full
//		cout<<"---"<<x<<" "<<S<<" "<<UP[S]<<endl;
		ans[x]+=UP[S],ans[x]%=mod;//not moving
		ans[x]+=DOW[S],ans[x]%=mod;
		UPF[x][i]+=UP[S],DOWF[x][i]+=UP[S];//mov
		UPF[x][i]%=mod,DOWF[x][i]%=mod;
		for(int j=0;j<=i-2;j++)DOWF[x][j]=(DOWF[x][j]+UP[S^(1<<j)]+DOW[S^(1<<j)])%mod;
	}
//	cout<<x<<" "<<ans[x]<<endl;
	while(!UPF[x].back()&&!DOWF[x].back())UPF[x].pop_back(),DOWF[x].pop_back();
}
signed main(){
	cin.tie(0),cout.tie(0),ios::sync_with_stdio(false);
	cin>>n;
	for(int i=1;i<n;i++){
		int u,v;
		cin>>u>>v;
		ed[u].push_back(v),ed[v].push_back(u);
	}
//	lg[1]=1;
	for(int i=2;i<maxn;i++)lg[i]=lg[i>>1]+1;
	dfs(1,0);
	cout<<ans[1]<<endl;
	return 0;
}
/*
5
1 2
1 3
1 4
4 5
*/

详细

Test #1:

score: 100
Accepted
time: 4ms
memory: 51272kb

input:

5
1 2
1 3
1 4
4 5

output:

21

result:

ok single line: '21'

Test #2:

score: 0
Accepted
time: 10ms
memory: 52412kb

input:

1

output:

1

result:

ok single line: '1'

Test #3:

score: -100
Wrong Answer
time: 9ms
memory: 50812kb

input:

128
11 32
116 81
65 4
117 47
5 81
104 30
61 8
82 59
95 20
92 29
29 127
97 39
123 33
59 128
115 33
83 67
74 16
77 33
64 73
124 123
8 127
61 51
101 122
35 90
119 116
112 27
81 93
109 123
54 1
119 100
116 16
65 47
67 27
22 105
76 87
36 39
27 96
72 31
91 123
21 105
118 12
110 48
121 72
14 115
24 16
106 ...

output:

554054109

result:

wrong answer 1st lines differ - expected: '508800953', found: '554054109'