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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#222626 | #7607. The Doubling Game 2 | ucup-team135# | WA | 9ms | 38000kb | C++20 | 5.1kb | 2023-10-21 17:51:26 | 2023-10-21 17:51:26 |
Judging History
answer
#ifdef LOCAL
#define _GLIBCXX_DEBUG
#define debug(x) do { cerr << #x << ": " << x << endl; } while(0)
#define debug2(x, y) do { cerr << #x << ": " << x << ". " << #y << ": " << y << endl; } while(0)
#define debug3(x, y, z) do { cerr << #x << ": " << x << ". " << #y << ": " << y << ". " << #z << ": " << z << endl; } while(0)
#define debug_all(x) do { cerr << #x << ": "; for (const auto &v : x) cerr << v << ' '; cerr << endl; } while(0)
#else
#define debug(x)
#define debug2(x, y)
#define debug3(x, y, z)
#define debug_all(x)
#endif
#include <bits/stdc++.h>
#define int long long
using namespace std;
using ll = long long;
using ld = long double;
void solve();
int32_t main() {
cin.tie(nullptr);
ios_base::sync_with_stdio(false);
int t = 1;
for (int tc = 0; tc < t; ++tc) {
solve();
}
return 0;
}
const int maxn=1e6+5;
vector<int> a[maxn];
int32_t dp[300005][20][2];
int h[1<<20];
bool used[maxn];
const int p=1e9+7;
int is2[maxn];
void dfs(int x)
{
used[x]=true;
vector<int> ch;
vector<int> u;
for(int v:a[x]) {
if (!used[v]) {
dfs(v);
int h=0;
for(int i=0;i<20;++i) if(dp[v][i]) h=i;
u.push_back(h);
ch.push_back(v);
}
}
sort(u.begin(),u.end());reverse(u.begin(),u.end());
int mx=20;
for(int i=0;i<u.size();++i) {mx=min(mx,u[i]+i+1);}
for(int i=1;i<mx;++i) {
int i1=i;
set<int> g = {0};
h[0] = 1;
for (int v: ch) {
vector<int> ins;
set<int>::iterator it = (g.end());
while (true) {
--it;
int j = (*it);
for (int i = 19; i >= 0; --i) {
if(i>=i1) continue;
if (i != 0 && dp[v][i][0] && (j & (1 << (i - 1))) == 0) {
h[j + (1 << (i - 1))] += h[j]*dp[v][i][0];
h[j + (1 << (i - 1))] %= p;
ins.push_back(j + (1 << (i - 1)));
} else if (i == 0) {
h[j] *= dp[v][i][0];
h[j] %= p;
}
}
if (it == g.begin()) break;
}
for (int x: ins) g.insert(x);
}
dp[x][i][0]=h[(1<<(i-1))-1];dp[x][i][0]%=p;
for(int mask:g) h[mask]=0;
}
for(int i=1;i<mx;++i)
{
int i1=i;
set<int> g = {0};
h[0] = 1;
for (int v: ch) {
vector<int> ins;
set<int>::iterator it = (g.end());
while (true) {
--it;
int j = (*it);
for (int i = 19; i >= 0; --i) {
if(i>i1) continue;
int dp1=dp[v][i][0];
if(i==i1) {dp1+=dp[v][i][1];dp1%=p;}
if (i != 0 && dp1 && (j & (1 << (i - 1))) == 0) {
h[j + (1 << (i - 1))] += h[j]*dp1;
h[j + (1 << (i - 1))] %= p;
ins.push_back(j + (1 << (i - 1)));
} else if (i == 0) {
h[j] *= dp[v][i][0];
h[j] %= p;
}
}
if (it == g.begin()) break;
}
for (int x: ins) g.insert(x);
}
//if(x==3) cout<<i<<" i "<<h[(1<<i)-1]<<" h "<<endl;
if(i==1) {dp[x][0][0]+=h[0];dp[x][0][0]%=p;}
dp[x][0][0]+=2*h[(1<<i)-1];dp[x][0][0]%=p;
for(int mask:g) h[mask]=0;
}
for(int i1=1;i1<mx;++i1)
{
for(int j1=i1+1;j1<mx;++j1)
{
set<int> g = {0};
h[0] = 1;
for (int v: ch) {
vector<int> ins;
set<int>::iterator it = (g.end());
while (true) {
--it;
int j = (*it);
for (int i = 19; i >= 0; --i) {
if(i>j1) continue;
int dp1=dp[v][i][0];
if(i==j1) {dp1+=dp[v][i][1];dp1%=p;}
if (i != 0 && dp1 && (j & (1 << (i - 1))) == 0) {
h[j + (1 << (i - 1))] += h[j]*dp1;
h[j + (1 << (i - 1))] %= p;
ins.push_back(j + (1 << (i - 1)));
} else if (i == 0) {
h[j] *= dp[v][i][0];
h[j] %= p;
}
}
if (it == g.begin()) break;
}
for (int x: ins) g.insert(x);
}
dp[x][i1][1]+=h[(1<<j1)-(1<<(i1-1))-1];dp[x][i1][1]%=p;
for(int mask:g) h[mask]=0;
}
}
//cout<<x<<" x "<<endl;
//for(int i=0;i<=5;++i) cout<<dp[x][i][0]<<' '<<dp[x][i][1]<<endl;
//cout<<endl;
}
void solve() {
for(int i=1;i<1000000;i*=2) is2[i]=1;
int n;cin>>n;
for(int i=0;i<n-1;++i) {int x,y;cin>>x>>y;--x;--y;a[x].push_back(y);a[y].push_back(x);}
dfs(0);
cout<<(dp[0][0][0]%p+p)%p;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 37596kb
input:
5 1 2 1 3 1 4 4 5
output:
21
result:
ok single line: '21'
Test #2:
score: 0
Accepted
time: 0ms
memory: 38000kb
input:
1
output:
1
result:
ok single line: '1'
Test #3:
score: -100
Wrong Answer
time: 9ms
memory: 36436kb
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:
389992204
result:
wrong answer 1st lines differ - expected: '508800953', found: '389992204'